%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV772-1 : 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 : n014.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 10:58:53 AM UTC 2026
% Result : Unsatisfiable 157.19s 26.45s
% Output : CNFRefutation 157.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 451
% Syntax : Number of formulae : 3761 (2547 unt; 0 typ; 0 def)
% Number of atoms : 18355 (7371 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 49828 (3631 ~;5148 |; 0 &;41049 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 79 ( 76 usr; 12 con; 0-5 aty)
% Number of variables : 12804 ( 0 ^;12804 !; 0 ?;12804 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Obad,type,
c_Event_Obad: $i ).
thf(tp_c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(tp_c_Event_Oevent_ONotes,type,
c_Event_Oevent_ONotes: $i > $i > $i ).
thf(tp_c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(tp_c_Event_OinitState,type,
c_Event_OinitState: $i > $i ).
thf(tp_c_Event_Oknows,type,
c_Event_Oknows: $i > $i > $i ).
thf(tp_c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: $i > $i > $i > $i ).
thf(tp_c_Event_Oused,type,
c_Event_Oused: $i > $i ).
thf(tp_c_HOL_Oord__class_Oless,type,
c_HOL_Oord__class_Oless: $i > $i > $i > $o ).
thf(tp_c_List_Oappend,type,
c_List_Oappend: $i > $i > $i > $i ).
thf(tp_c_List_Obutlast,type,
c_List_Obutlast: $i > $i > $i ).
thf(tp_c_List_Oconcat__map,type,
c_List_Oconcat__map: $i > $i > $i > $i > $i ).
thf(tp_c_List_Odistinct,type,
c_List_Odistinct: $i > $i > $o ).
thf(tp_c_List_OdropWhile,type,
c_List_OdropWhile: $i > $i > $i > $i ).
thf(tp_c_List_Ofilter,type,
c_List_Ofilter: $i > $i > $i > $i ).
thf(tp_c_List_Ohd,type,
c_List_Ohd: $i > $i > $i ).
thf(tp_c_List_Olast,type,
c_List_Olast: $i > $i > $i ).
thf(tp_c_List_Olength__unique,type,
c_List_Olength__unique: $i > $i > $i ).
thf(tp_c_List_Olinorder__class_Oinsort__key,type,
c_List_Olinorder__class_Oinsort__key: $i > $i > $i > $i > $i > $i ).
thf(tp_c_List_Olinorder__class_Osorted,type,
c_List_Olinorder__class_Osorted: $i > $i > $o ).
thf(tp_c_List_Olist_OCons,type,
c_List_Olist_OCons: $i > $i > $i > $i ).
thf(tp_c_List_Olist_ONil,type,
c_List_Olist_ONil: $i > $i ).
thf(tp_c_List_Olist__inter,type,
c_List_Olist__inter: $i > $i > $i > $i ).
thf(tp_c_List_Olist__update,type,
c_List_Olist__update: $i > $i > $i > $i > $i ).
thf(tp_c_List_Oremdups,type,
c_List_Oremdups: $i > $i > $i ).
thf(tp_c_List_Oremove1,type,
c_List_Oremove1: $i > $i > $i > $i ).
thf(tp_c_List_Oreplicate,type,
c_List_Oreplicate: $i > $i > $i > $i ).
thf(tp_c_List_Orev,type,
c_List_Orev: $i > $i > $i ).
thf(tp_c_List_Orotate1,type,
c_List_Orotate1: $i > $i > $i ).
thf(tp_c_List_Oset,type,
c_List_Oset: $i > $i > $i ).
thf(tp_c_List_Osko__List__XCons__eq__append__conv__1__1,type,
c_List_Osko__List__XCons__eq__append__conv__1__1: $i > $i > $i > $i > $i > $i ).
thf(tp_c_List_Osko__List__Xappend__eq__Cons__conv__1__1,type,
c_List_Osko__List__Xappend__eq__Cons__conv__1__1: $i > $i > $i > $i > $i > $i ).
thf(tp_c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1,type,
c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1: $i > $i > $i > $i > $i > $i ).
thf(tp_c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1,type,
c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1: $i > $i > $i > $i ).
thf(tp_c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1,type,
c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1: $i > $i > $i > $i ).
thf(tp_c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2,type,
c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2: $i > $i > $i > $i ).
thf(tp_c_List_Osko__List__Xrev__cases__1__1,type,
c_List_Osko__List__Xrev__cases__1__1: $i > $i > $i ).
thf(tp_c_List_Osko__List__Xrev__cases__1__2,type,
c_List_Osko__List__Xrev__cases__1__2: $i > $i > $i ).
thf(tp_c_List_Osko__List__Xrev__induct__1__1,type,
c_List_Osko__List__Xrev__induct__1__1: $i > $i > $i ).
thf(tp_c_List_Osko__List__Xrev__induct__1__2,type,
c_List_Osko__List__Xrev__induct__1__2: $i > $i > $i ).
thf(tp_c_List_Osko__List__Xsplit__list__first__prop__iff__1__5,type,
c_List_Osko__List__Xsplit__list__first__prop__iff__1__5: $i > $i > $i > $i ).
thf(tp_c_List_Osko__List__Xsplit__list__last__prop__iff__1__5,type,
c_List_Osko__List__Xsplit__list__last__prop__iff__1__5: $i > $i > $i > $i ).
thf(tp_c_List_Osko__List__XtakeWhile__append2__1__1,type,
c_List_Osko__List__XtakeWhile__append2__1__1: $i > $i > $i > $i ).
thf(tp_c_List_Osko__List__XtakeWhile__cong__1__1,type,
c_List_Osko__List__XtakeWhile__cong__1__1: $i > $i > $i > $i > $i ).
thf(tp_c_List_Osko__List__XtakeWhile__eq__all__conv__1__1,type,
c_List_Osko__List__XtakeWhile__eq__all__conv__1__1: $i > $i > $i > $i ).
thf(tp_c_List_Osplice,type,
c_List_Osplice: $i > $i > $i > $i ).
thf(tp_c_List_OtakeWhile,type,
c_List_OtakeWhile: $i > $i > $i > $i ).
thf(tp_c_List_Otl,type,
c_List_Otl: $i > $i > $i ).
thf(tp_c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
thf(tp_c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
thf(tp_c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: $i > $i > $i ).
thf(tp_c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
thf(tp_c_Message_Osko__Message__Xanalz__insert__eq__I__1__1,type,
c_Message_Osko__Message__Xanalz__insert__eq__I__1__1: $i > $i > $i ).
thf(tp_c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
thf(tp_c_NS__Shared__Mirabelle_Ons__sharedp,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
thf(tp_c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
thf(tp_c_Set_Oinsert,type,
c_Set_Oinsert: $i > $i > $i > $i ).
thf(tp_c_fequal,type,
c_fequal: $i > $i > $i > $o ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $o ).
thf(tp_c_lessequals,type,
c_lessequals: $i > $i > $i > $o ).
thf(tp_class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
thf(tp_class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
thf(tp_class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
thf(tp_class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
thf(tp_class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
thf(tp_hAPP,type,
hAPP: $i > $i > $i ).
thf(tp_hBOOL,type,
hBOOL: $i > $o ).
thf(tp_tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
thf(tp_tc_Message_Oagent,type,
tc_Message_Oagent: $i ).
thf(tp_tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
thf(tp_tc_bool,type,
tc_bool: $i ).
thf(tp_tc_fun,type,
tc_fun: $i > $i > $i ).
thf(tp_tc_nat,type,
tc_nat: $i ).
thf(tp_v_A,type,
v_A: $i ).
thf(tp_v_B,type,
v_B: $i ).
thf(tp_v_X,type,
v_X: $i ).
thf(1,axiom,
! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( c_fequal @ V_X @ V_Y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
thf(2,axiom,
! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
thf(3,axiom,
class_HOL_Oord @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
thf(4,axiom,
class_Orderings_Oorder @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
thf(5,axiom,
class_Orderings_Opreorder @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
thf(6,axiom,
class_HOL_Oord @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
thf(7,axiom,
class_Orderings_Oorder @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
thf(8,axiom,
class_Orderings_Olinorder @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
thf(9,axiom,
class_Orderings_Opreorder @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
thf(10,axiom,
! [T_2: $i,T_1: $i] :
( ( class_HOL_Oord @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_HOL_Oord @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
thf(11,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Oorder @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
thf(12,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Opreorder @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
thf(13,axiom,
! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_2) ).
thf(14,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_4) ).
thf(15,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(16,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(17,axiom,
! [V_a_H: $i,V_list_H: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).
thf(18,axiom,
! [V_x: $i,V_xa: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_xa @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).
thf(19,axiom,
! [V_x: $i,V_xs1: $i,V_zs: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xs1 @ V_zs @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xs1 @ T_a ) @ V_zs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__appendI_0) ).
thf(20,axiom,
! [V_x: $i,V_xa: $i,V_zs: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xa @ V_zs @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ V_zs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_5) ).
thf(21,axiom,
! [V_y: $i,V_A: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_A @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
thf(22,axiom,
! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ V_ys @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Cons_0) ).
thf(23,axiom,
! [V_x: $i,V_xa: $i,T_a: $i,V_zs: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ V_zs @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xa @ V_zs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_5) ).
thf(24,axiom,
! [V_x: $i,V_y: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_y @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).
thf(25,axiom,
! [V_ys: $i,V_xs: $i,T_a: $i,V_zs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_xs @ T_a )
!= ( c_List_Oappend @ V_zs @ V_xs @ T_a ) )
| ( V_ys = V_zs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__same__eq_0) ).
thf(26,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i,V_zs: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= ( c_List_Oappend @ V_xs @ V_zs @ T_a ) )
| ( V_ys = V_zs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_same__append__eq_0) ).
thf(27,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= V_xs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Nil2_0) ).
thf(28,axiom,
! [V_x: $i,T_a: $i] :
( V_x
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).
thf(29,axiom,
! [V_xs: $i,T_a: $i] :
( V_xs
= ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv_1) ).
thf(30,axiom,
! [T_a: $i,V_ys: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a )
= V_ys ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Nil_0) ).
thf(31,axiom,
! [V_ys: $i,T_a: $i] :
( V_ys
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).
thf(32,axiom,
! [V_x: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
thf(33,axiom,
! [V_A: $i,V_x: $i,V_y: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ( V_y = V_x )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
thf(34,axiom,
! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_0) ).
thf(35,axiom,
! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_1) ).
thf(36,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__is__Nil__conv_0) ).
thf(37,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__is__Nil__conv_1) ).
thf(38,axiom,
! [T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
thf(39,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Says_0) ).
thf(40,axiom,
! [V_x: $i,V_A: $i,T_a: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
thf(41,axiom,
! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
thf(42,axiom,
! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent2 = V_agent2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
thf(43,axiom,
! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent1 = V_agent1_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
thf(44,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= V_xs )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__self__conv_0) ).
thf(45,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( V_xs
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv_0) ).
thf(46,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= V_ys )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__self__conv2_0) ).
thf(47,axiom,
! [V_ys: $i,V_xs: $i,T_a: $i] :
( ( V_ys
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv2_0) ).
thf(48,axiom,
! [T_a: $i,V_x: $i,V_xs: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_4) ).
thf(49,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
thf(50,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(51,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(52,axiom,
! [V_xs: $i,V_x: $i,T_a: $i,V_ys: $i,V_y: $i] :
( ( ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
!= ( c_List_Oappend @ V_ys @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_xs = V_ys ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append1__eq__conv_0) ).
thf(53,axiom,
! [V_xs: $i,V_x: $i,T_a: $i,V_ys: $i,V_y: $i] :
( ( ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
!= ( c_List_Oappend @ V_ys @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_x = V_y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append1__eq__conv_1) ).
thf(54,axiom,
! [T_a: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__is__Nil__conv_2) ).
thf(55,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i,V_zs: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ V_zs @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Oappend @ V_ys @ V_zs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__assoc_0) ).
thf(56,axiom,
! [V_xs: $i,V_xs1: $i,V_us: $i,T_a: $i] :
( ( c_List_Oappend @ V_xs @ ( c_List_Oappend @ V_xs1 @ V_us @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oappend @ V_xs @ V_xs1 @ T_a ) @ V_us @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__appendI_0) ).
thf(57,axiom,
! [V_zs: $i,V_x: $i,T_a: $i,V_ys: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ V_zs @ V_x @ T_a ) @ V_ys @ T_a )
= ( c_List_Oappend @ V_zs @ ( c_List_Oappend @ V_x @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv2_4) ).
thf(58,axiom,
! [V_xs: $i,V_x: $i,V_ts: $i,T_a: $i] :
( ( c_List_Oappend @ V_xs @ ( c_List_Oappend @ V_x @ V_ts @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oappend @ V_xs @ V_x @ T_a ) @ V_ts @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv2_5) ).
thf(59,axiom,
! [V_evs: $i,V_A: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Says_0) ).
thf(60,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ( V_A = c_Message_Oagent_OSpy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Gets_0) ).
thf(61,axiom,
! [V_A: $i,V_evs: $i,V_A_H: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Says_0) ).
thf(62,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
thf(63,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Notes_0) ).
thf(64,axiom,
! [V_i: $i,V_x: $i,T_a: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ V_i @ V_x @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oreplicate @ V_i @ V_x @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__append__same_0) ).
thf(65,axiom,
! [V_x: $i,V_xs: $i,T_b: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_b )
= ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_b ) @ T_b ) @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__simps_1) ).
thf(66,axiom,
! [V_ys: $i,T_a: $i,V_y: $i] :
( ( c_List_Orev @ ( c_List_Oappend @ ( c_List_Orev @ V_ys @ T_a ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_1) ).
thf(67,axiom,
! [V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_Orev @ V_ys @ T_a ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_0) ).
thf(68,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Orev @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev_Osimps_I2_J_0) ).
thf(69,axiom,
! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a )
= V_ys )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_0) ).
thf(70,axiom,
! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a )
= V_xs )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_1) ).
thf(71,axiom,
! [V_xs: $i,V_x: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) @ T_a )
= V_xs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__snoc_0) ).
thf(72,axiom,
! [V_xs: $i,V_x: $i,T_a: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) @ T_a )
= V_x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__snoc_0) ).
thf(73,axiom,
! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( V_ys
= ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_0) ).
thf(74,axiom,
! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_1) ).
thf(75,axiom,
! [V_A: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ V_A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
thf(76,axiom,
! [V_A: $i,V_evs: $i,V_e: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ V_e @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
thf(77,axiom,
! [V_c: $i,V_evs: $i,V_A: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I1_J_0) ).
thf(78,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Ohd @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd__append_1) ).
thf(79,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Obutlast @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__append_0) ).
thf(80,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Otl @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Otl @ V_xs @ T_a ) @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl__append2_0) ).
thf(81,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Olast @ V_ys @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__append_1) ).
thf(82,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__append_0) ).
thf(83,axiom,
! [T_a: $i,V_ys: $i] :
( ( c_List_Ohd @ ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a ) @ T_a )
= ( c_List_Ohd @ V_ys @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd__append_0) ).
thf(84,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Obutlast @ V_ys @ T_a ) @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__append_1) ).
thf(85,axiom,
! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a )
= V_xs )
| ( V_zs
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_3) ).
thf(86,axiom,
! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a )
= V_ys )
| ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
= V_zs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_2) ).
thf(87,axiom,
! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__list__last__prop__iff_6) ).
thf(88,axiom,
! [V_f: $i,V_x: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Oconcat__map @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_b @ T_a )
= ( c_List_Oappend @ ( hAPP @ V_f @ V_x ) @ ( c_List_Oconcat__map @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_concat__map_Osimps_I2_J_0) ).
thf(89,axiom,
! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__list__first__prop__iff_6) ).
thf(90,axiom,
! [V_P: $i,V_xs: $i,V_x: $i,V_l: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ V_l @ T_a ) @ T_a ) @ T_a )
= ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__tail_0) ).
thf(91,axiom,
! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( V_ys
= ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a ) )
| ( V_zs
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_2) ).
thf(92,axiom,
! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a ) )
| ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
= V_zs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_3) ).
thf(93,axiom,
! [V_n: $i,V_x: $i,T_a: $i,V_xs: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__app__Cons__same_0) ).
thf(94,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I2_J_0) ).
thf(95,axiom,
! [V_x: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Orev @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__rev__conv_1) ).
thf(96,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last_Osimps_1) ).
thf(97,axiom,
! [V_x: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__singleton__conv_1) ).
thf(98,axiom,
! [V_x: $i,T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
!= ( c_List_Orev @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__rev__conv_0) ).
thf(99,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I2_J_1) ).
thf(100,axiom,
! [V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__singleton__conv_0) ).
thf(101,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splice_Osimps_I2_J_0) ).
thf(102,axiom,
! [V_x: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast_Osimps_I2_J_0) ).
thf(103,axiom,
! [V_x: $i,T_a: $i] :
( ( c_List_Olast @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= V_x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last_Osimps_0) ).
thf(104,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast_Osimps_I2_J_1) ).
thf(105,axiom,
! [T_b: $i,V_f: $i,V_x: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insort__key_Osimps_I1_J_0) ).
thf(106,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
thf(107,axiom,
! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Notes_0) ).
thf(108,axiom,
! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Gets_0) ).
thf(109,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oappend @ ( c_List_Obutlast @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= V_xs )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__butlast__last__id_0) ).
thf(110,axiom,
! [V_xs: $i,T_a: $i] :
( ( V_xs
= ( c_List_Oappend @ ( c_List_Osko__List__Xrev__cases__1__1 @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__cases__1__2 @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__cases_0) ).
thf(111,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_xs ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Oappend @ ( c_List_Osko__List__Xrev__induct__1__2 @ V_P @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__induct__1__1 @ V_P @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ T_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__induct_1) ).
thf(112,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_ONil @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).
thf(113,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
thf(114,axiom,
! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert_0) ).
thf(115,axiom,
! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oanalz @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__idem_0) ).
thf(116,axiom,
! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) @ ( c_List_Oset @ V_xb @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__list__last__prop__iff_3) ).
thf(117,axiom,
! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_xs @ T_a )
!= V_xs )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__eq__all__conv_0) ).
thf(118,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__butlastD_0) ).
thf(119,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono_0) ).
thf(120,axiom,
! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
thf(121,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
thf(122,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
thf(123,axiom,
! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).
thf(124,axiom,
! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).
thf(125,axiom,
! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).
thf(126,axiom,
! [V_t: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_t @ V_B @ T_a )
| ~ ( c_in @ V_t @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).
thf(127,axiom,
! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
thf(128,axiom,
! [V_x: $i,T_a: $i] : ( c_lessequals @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
thf(129,axiom,
! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_c @ V_B @ T_a )
| ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subsetD_0) ).
thf(130,axiom,
! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).
thf(131,axiom,
! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).
thf(132,axiom,
! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
thf(133,axiom,
! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__list__first__prop__iff_5) ).
thf(134,axiom,
! [V_agent_H: $i,V_msg_H: $i,V_agent: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OGets @ V_agent @ V_msg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).
thf(135,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_2) ).
thf(136,axiom,
! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) @ ( c_List_Oset @ V_xb @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__list__last__prop__iff_4) ).
thf(137,axiom,
! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
thf(138,axiom,
! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_B @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
thf(139,axiom,
! [V_X: $i,V_G: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_G ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).
thf(140,axiom,
! [V_xs: $i,T_a: $i,V_x: $i] : ( c_lessequals @ ( c_List_Oset @ V_xs @ T_a ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__subset__Cons_0) ).
thf(141,axiom,
! [V_xs: $i,T_a: $i,V_ys: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Orev @ V_ys @ T_a ) )
| ( V_xs = V_ys ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__rev__conv_0) ).
thf(142,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_0) ).
thf(143,axiom,
! [T_b: $i,V_f: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Oset @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__insort_0) ).
thf(144,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rotate1_0) ).
thf(145,axiom,
! [V_x: $i,V_y: $i,V_n: $i,T_a: $i] :
( ( V_x = V_y )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oreplicate @ V_n @ V_y @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__replicateD_0) ).
thf(146,axiom,
! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_0) ).
thf(147,axiom,
! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_1) ).
thf(148,axiom,
! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I8_J_0) ).
thf(149,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
thf(150,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).
thf(151,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
thf(152,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
thf(153,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityI_0) ).
thf(154,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev_0) ).
thf(155,axiom,
! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( ( c_List_Osplice @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ V_ys @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ ( c_List_Ohd @ V_ys @ T_a ) @ ( c_List_Osplice @ V_xs @ ( c_List_Otl @ V_ys @ T_a ) @ T_a ) @ T_a ) @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splice_Osimps_I2_J_1) ).
thf(156,axiom,
! [T_b: $i,V_f: $i,V_x: $i,V_y: $i,V_ys: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_y @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_ys @ T_a @ T_b ) @ T_a ) )
| ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_f @ V_y ) @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insort__key_Osimps_I2_J_1) ).
thf(157,axiom,
! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).
thf(158,axiom,
! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).
thf(159,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__iff_1) ).
thf(160,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__iff_0) ).
thf(161,axiom,
! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
thf(162,axiom,
! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__trans_0) ).
thf(163,axiom,
! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__append1_0) ).
thf(164,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_List_Ohd @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd__rev_0) ).
thf(165,axiom,
! [V_n: $i,V_x: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a )
= ( c_List_Oreplicate @ V_n @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__replicate_0) ).
thf(166,axiom,
! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) @ ( c_List_Oset @ V_x @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__list__first__prop__iff_3) ).
thf(167,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= V_xs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__rev__ident_0) ).
thf(168,axiom,
! [V_ys: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Orev @ V_ys @ T_a ) @ T_a )
= V_ys ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__swap_1) ).
thf(169,axiom,
! [V_xs: $i,T_a: $i] :
( V_xs
= ( c_List_Orev @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__swap_0) ).
thf(170,axiom,
! [V_A: $i,V_evs: $i] : ( c_lessequals @ ( c_Event_OinitState @ V_A ) @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).
thf(171,axiom,
! [V_Y: $i,V_H: $i,V_X: $i] :
( ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_Y @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__cut_0) ).
thf(172,axiom,
! [V_m: $i,V_x: $i,T_a: $i,V_n: $i,V_y: $i] :
( ( ( c_List_Oreplicate @ V_m @ V_x @ T_a )
!= ( c_List_Oreplicate @ V_n @ V_y @ T_a ) )
| ( V_m = V_n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__eq__replicate_0) ).
thf(173,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_List_Olast @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= ( c_List_Ohd @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__rev_0) ).
thf(174,axiom,
! [V_as: $i,T_a: $i] :
( ( c_in @ ( c_List_Olast @ V_as @ T_a ) @ ( c_List_Oset @ V_as @ T_a ) @ T_a )
| ( V_as
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last__in__set_0) ).
thf(175,axiom,
! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__analzD_0) ).
thf(176,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(177,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(178,axiom,
! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__list__last__prop__iff_5) ).
thf(179,axiom,
! [V_y: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( c_in @ V_y @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ( V_y = V_x )
| ~ ( c_in @ V_y @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__ConsD_0) ).
thf(180,axiom,
! [T_a: $i,V_x: $i,V_xa: $i,V_ys: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_xa @ T_a )
| ~ ( c_in @ V_xa @ ( c_List_Oset @ V_ys @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__append_2) ).
thf(181,axiom,
! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) @ ( c_List_Oset @ V_x @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__list__first__prop__iff_4) ).
thf(182,axiom,
! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).
thf(183,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_H ) )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
thf(184,axiom,
! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
thf(185,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
thf(186,axiom,
! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_1) ).
thf(187,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_0) ).
thf(188,axiom,
! [T_b: $i,V_f: $i,V_x: $i,V_y: $i,V_ys: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) )
| ~ ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_f @ V_y ) @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insort__key_Osimps_I2_J_0) ).
thf(189,axiom,
! [T_a: $i,V_P: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__takeWhile_0) ).
thf(190,axiom,
! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ V_ys @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__butlast__appendI_1) ).
thf(191,axiom,
! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__butlast__appendI_0) ).
thf(192,axiom,
! [V_c: $i,V_a: $i,V_G: $i] :
( ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
thf(193,axiom,
! [V_x: $i,V_xs: $i,T_a: $i,V_P: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__takeWhileD_0) ).
thf(194,axiom,
! [T_a: $i,V_x: $i,V_xa: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_xa @ T_a )
| ~ ( c_in @ V_xa @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__Cons_1) ).
thf(195,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_in @ ( c_List_Ohd @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd__in__set_0) ).
thf(196,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__takeWhileD_1) ).
thf(197,axiom,
! [T_b: $i,V_f: $i,V_x: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_g @ V_x ) @ T_b )
| ~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__funD_0) ).
thf(198,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Ohd @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= V_x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd_Osimps_0) ).
thf(199,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Otl @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= V_xs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl_Osimps_I2_J_0) ).
thf(200,axiom,
! [V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ ( c_List_Osplice @ V_xs @ V_ys @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splice__Cons__Cons_0) ).
thf(201,axiom,
! [T_a: $i,V_y: $i,V_zs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_1) ).
thf(202,axiom,
! [T_a: $i,V_xs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__Cons_0) ).
thf(203,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I2_J_0) ).
thf(204,axiom,
! [V_a: $i,V_C: $i,T_a: $i,V_D: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_a @ V_C @ T_a ) @ ( c_Set_Oinsert @ V_a @ V_D @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_C @ V_D @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).
thf(205,axiom,
! [V_a: $i,V_b: $i,V_A: $i,T_a: $i] :
( ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).
thf(206,axiom,
! [V_a: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ V_B @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).
thf(207,axiom,
! [V_a: $i,V_A: $i,T_a: $i,V_b: $i] :
( ( c_in @ V_a @ V_A @ T_a )
| ( V_a = V_b )
| ~ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertE_0) ).
thf(208,axiom,
! [V_B: $i,V_a: $i,T_a: $i] : ( c_lessequals @ V_B @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
thf(209,axiom,
! [V_A: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
thf(210,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_1) ).
thf(211,axiom,
! [V_x: $i,V_A: $i,T_a: $i] : ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).
thf(212,axiom,
! [V_a: $i,V_B: $i,T_a: $i] : ( c_in @ V_a @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).
thf(213,axiom,
! [V_evs: $i] : ( c_lessequals @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__nil__subset_0) ).
thf(214,axiom,
! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_in @ V_X @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg )
| ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ V_A @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ V_A @ V_X @ V_evs ) @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_A = c_Message_Oagent_OSpy )
| ~ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).
thf(215,axiom,
! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
thf(216,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
thf(217,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_2) ).
thf(218,axiom,
! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ( c_in @ V_x @ V_B @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_3) ).
thf(219,axiom,
! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_7) ).
thf(220,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_2) ).
thf(221,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a ) )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups_Osimps_I2_J_1) ).
thf(222,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_0) ).
thf(223,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Olength__unique @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olength__unique @ V_xs @ T_a ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__unique_Osimps_I2_J_0) ).
thf(224,axiom,
! [V_a: $i,V_as: $i,T_a: $i,V_bs: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ V_a @ V_as @ T_a ) @ V_bs @ T_a )
= ( c_List_Olist__inter @ V_as @ V_bs @ T_a ) )
| ( c_in @ V_a @ ( c_List_Oset @ V_bs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__inter_Osimps_I2_J_1) ).
thf(225,axiom,
! [V_a: $i,V_as: $i,T_a: $i,V_bs: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ V_a @ V_as @ T_a ) @ V_bs @ T_a )
= ( c_List_Olist_OCons @ V_a @ ( c_List_Olist__inter @ V_as @ V_bs @ T_a ) @ T_a ) )
| ~ ( c_in @ V_a @ ( c_List_Oset @ V_bs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__inter_Osimps_I2_J_0) ).
thf(226,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Oremdups @ V_xs @ T_a ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups_Osimps_I2_J_0) ).
thf(227,axiom,
! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i,V_A: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ T_a ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_lessequals @ ( c_List_Oset @ V_xs @ T_a ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__update__subsetI_0) ).
thf(228,axiom,
! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dropWhile__eq__Nil__conv_0) ).
thf(229,axiom,
! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_Ofilter @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_filter__empty__conv_0) ).
thf(230,axiom,
! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Oremove1 @ V_x @ V_ys @ T_a ) @ T_a ) )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1__append_1) ).
thf(231,axiom,
! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OdropWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ V_ys @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dropWhile__append1_0) ).
thf(232,axiom,
! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ V_ys @ T_a ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1__append_0) ).
thf(233,axiom,
! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ T_a ) @ ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__update__subset__insert_0) ).
thf(234,axiom,
! [T_a: $i,V_x: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__Cons_3) ).
thf(235,axiom,
! [V_P: $i,V_x: $i,T_a: $i,V_Q: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_x @ T_a )
= ( c_List_OtakeWhile @ V_Q @ V_x @ T_a ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) @ ( c_List_Oset @ V_x @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__cong_0) ).
thf(236,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_xs @ T_a )
= V_xs )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ V_P @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__eq__all__conv_1) ).
thf(237,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).
thf(238,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__eq__I_1) ).
thf(239,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__eq__I_0) ).
thf(240,axiom,
! [V_P: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dropWhile__eq__Cons__conv_0) ).
thf(241,axiom,
! [V_xs: $i,V_P: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( V_xs
!= ( c_List_Oappend @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) )
| ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dropWhile__eq__Cons__conv_2) ).
thf(242,axiom,
! [T_b: $i,V_f: $i,V_a: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_a @ V_xs @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_a @ V_xs @ T_a ) )
| ~ ( c_lessequals @ ( hAPP @ V_f @ V_a ) @ ( hAPP @ V_f @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ V_a @ V_f @ V_xs @ T_a @ T_b ) ) @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insort__is__Cons_1) ).
thf(243,axiom,
! [V_K: $i,V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).
thf(244,axiom,
! [T_b: $i,V_f: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__insort_2) ).
thf(245,axiom,
! [T_b: $i,V_x: $i,V_xs: $i,T_a: $i,V_f: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__insort_0) ).
thf(246,axiom,
! [T_a: $i,V_x: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ V_x @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__Cons_2) ).
thf(247,axiom,
! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ V_xs @ V_ys @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__append_3) ).
thf(248,axiom,
! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ V_xs @ V_ys @ T_a ) @ ( c_List_Oset @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__append_4) ).
thf(249,axiom,
! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_OtakeWhile @ V_P @ V_ys @ T_a ) @ T_a ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ V_P @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__append2_0) ).
thf(250,axiom,
! [T_b: $i,V_f: $i,V_a: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_a @ V_xs @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_a @ V_xs @ T_a ) )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ V_a @ V_f @ V_xs @ T_a @ T_b ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insort__is__Cons_0) ).
thf(251,axiom,
! [V_B: $i,V_X: $i,V_evsf: $i] :
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ V_B @ V_X ) @ V_evsf @ tc_Event_Oevent ) )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evsf ) ) ) @ tc_Message_Omsg )
| ~ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evsf ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_OFake_0) ).
thf(252,axiom,
! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Gets_0) ).
thf(253,axiom,
! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Notes_0) ).
thf(254,axiom,
! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I3_J_0) ).
thf(255,axiom,
! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).
thf(256,axiom,
! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I7_J_0) ).
thf(257,axiom,
! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I5_J_0) ).
thf(258,axiom,
! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I6_J_0) ).
thf(259,axiom,
! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).
thf(260,axiom,
! [V_H: $i,V_H_H: $i,V_X: $i] :
( ( ( c_Message_Oanalz @ V_H )
!= ( c_Message_Oanalz @ V_H_H ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H_H @ tc_Message_Omsg ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__cong_0) ).
thf(261,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Orev @ V_ys @ T_a ) @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__append_0) ).
thf(262,axiom,
! [V_n: $i,V_x: $i,T_a: $i,V_k: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ ( c_List_Oreplicate @ V_k @ V_x @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oreplicate @ V_k @ V_x @ T_a ) @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__replicate__commute_0) ).
thf(263,axiom,
! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__append_0) ).
thf(264,axiom,
! [T_a: $i,V_ys: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__append_1) ).
thf(265,axiom,
! [V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] : ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oappend @ V_xa @ ( c_List_Olist_OCons @ V_x @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__conv__decomp_1) ).
thf(266,axiom,
! [V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oappend @ V_xa @ ( c_List_Olist_OCons @ V_x @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xb @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__conv__decomp__last_2) ).
thf(267,axiom,
! [V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oappend @ V_xa @ ( c_List_Olist_OCons @ V_x @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xa @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__conv__decomp__first_2) ).
thf(268,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_List_Orotate1 @ V_xs @ T_a )
= ( c_List_Oappend @ ( c_List_Otl @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate1__hd__tl_0) ).
thf(269,axiom,
! [T_a: $i] :
( ( c_List_Orev @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_1) ).
thf(270,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_0) ).
thf(271,axiom,
! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I1_J_0) ).
thf(272,axiom,
! [T_a: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__simps_0) ).
thf(273,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_List_Orotate1 @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate1__is__Nil__conv_0) ).
thf(274,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_xs ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xrev__induct__1__2 @ V_P @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ T_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__induct_0) ).
thf(275,axiom,
! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_List_Oconcat__map @ V_f @ ( c_List_Olist_ONil @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_concat__map_Osimps_I1_J_0) ).
thf(276,axiom,
! [T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Orev @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_0) ).
thf(277,axiom,
! [T_a: $i] :
( ( c_List_Otl @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl_Osimps_I1_J_0) ).
thf(278,axiom,
! [T_a: $i,V_ys: $i] :
( ( c_List_Osplice @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a )
= V_ys ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splice_Osimps_I1_J_0) ).
thf(279,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Osplice @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= V_xs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_splice__Nil2_0) ).
thf(280,axiom,
! [V_P: $i,T_a: $i] :
( ( c_List_OtakeWhile @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I1_J_0) ).
thf(281,axiom,
! [T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast_Osimps_I1_J_0) ).
thf(282,axiom,
! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Orev @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).
thf(283,axiom,
! [V_a: $i,V_A: $i,T_a: $i] :
( ( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
= V_A )
| ~ ( c_in @ V_a @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
thf(284,axiom,
! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( ( c_Set_Oinsert @ V_x @ V_A @ T_a )
!= ( c_Set_Oinsert @ V_x @ V_B @ T_a ) )
| ( c_in @ V_x @ V_B @ T_a )
| ( c_in @ V_x @ V_A @ T_a )
| ( V_A = V_B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__ident_0) ).
thf(285,axiom,
! [V_x: $i,V_B: $i,T_a: $i] : ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).
thf(286,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oused @ V_evs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Gets_0) ).
thf(287,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Ohd @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a ) ) )
| ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hd__dropWhile_0) ).
thf(288,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
thf(289,axiom,
! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__insert_0) ).
thf(290,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__mono_0) ).
thf(291,axiom,
! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_A = c_Message_Oagent_OSpy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Gets__imp__knows__agents_0) ).
thf(292,axiom,
! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_OtakeWhile @ V_P @ V_ys @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ V_P @ V_xs @ T_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__append2_1) ).
thf(293,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oappend @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a )
= V_xs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__dropWhile__id_0) ).
thf(294,axiom,
! [V_P: $i,V_n: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_filter__replicate_1) ).
thf(295,axiom,
! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( ( c_List_Oset @ V_xs @ T_a )
!= ( c_List_Oset @ V_ys @ T_a ) )
| ~ ( c_List_Odistinct @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ( V_xs = V_ys ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__distinct__set__unique_0) ).
thf(296,axiom,
! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__trans_0) ).
thf(297,axiom,
! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
thf(298,axiom,
! [V_Y: $i,V_H: $i,V_X: $i] :
( ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__cut_0) ).
thf(299,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_filter__is__subset_0) ).
thf(300,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__remove1__subset_0) ).
thf(301,axiom,
! [V_a: $i,V_b: $i,V_xs: $i,T_a: $i] :
( ( c_in @ V_a @ ( c_List_Oset @ ( c_List_Oremove1 @ V_b @ V_xs @ T_a ) @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ( V_a = V_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__remove1_1) ).
thf(302,axiom,
! [V_a: $i,V_xs: $i,T_a: $i,V_b: $i] :
( ( c_in @ V_a @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ ( c_List_Oset @ ( c_List_Oremove1 @ V_b @ V_xs @ T_a ) @ T_a ) @ T_a )
| ( V_a = V_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__remove1_0) ).
thf(303,axiom,
! [V_x: $i,V_y: $i,V_xs: $i,T_a: $i] :
( ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oremove1 @ V_y @ V_xs @ T_a ) @ T_a ) @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_notin__set__remove1_0) ).
thf(304,axiom,
! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_Ofilter @ V_P @ V_xs @ T_a )
!= V_xs )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_filter__id__conv_0) ).
thf(305,axiom,
! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_6) ).
thf(306,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__insert__iff_0) ).
thf(307,axiom,
! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).
thf(308,axiom,
! [V_X: $i,V_A: $i,V_evs: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
thf(309,axiom,
! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ V_xs @ V_ys @ T_a ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__append_5) ).
thf(310,axiom,
! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
thf(311,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_0) ).
thf(312,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
thf(313,axiom,
! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
thf(314,axiom,
! [T_a: $i,V_a: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ V_a @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__remove1_0) ).
thf(315,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__remdups_0) ).
thf(316,axiom,
! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i,V_y: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ V_i @ V_y @ T_a )
= ( c_List_Olist__update @ V_xs @ V_i @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__overwrite_0) ).
thf(317,axiom,
! [T_a: $i,V_P: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__dropWhile_0) ).
thf(318,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).
thf(319,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_0) ).
thf(320,axiom,
! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a )
| ~ ( c_lessequals @ V_a @ V_b @ T_a )
| ( V_a = V_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).
thf(321,axiom,
! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a )
| ( V_a = V_b )
| ~ ( c_lessequals @ V_a @ V_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__neq__trans_0) ).
thf(322,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff__psubset__eq_0) ).
thf(323,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_2) ).
thf(324,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_0) ).
thf(325,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( V_A = V_B )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__eq_2) ).
thf(326,axiom,
! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a )
| ~ ( c_lessequals @ V_b @ V_a @ T_a )
| ( V_a = V_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I12_J_0) ).
thf(327,axiom,
! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a )
| ( V_a = V_b )
| ~ ( c_lessequals @ V_b @ V_a @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I11_J_0) ).
thf(328,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__filter_0) ).
thf(329,axiom,
! [T_a: $i,V_l: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ V_l @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_l @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__remdups_0) ).
thf(330,axiom,
! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i,V_i_H: $i,V_x_H: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ V_i_H @ V_x_H @ T_a )
= ( c_List_Olist__update @ ( c_List_Olist__update @ V_xs @ V_i_H @ V_x_H @ T_a ) @ V_i @ V_x @ T_a ) )
| ( V_i = V_i_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__swap_0) ).
thf(331,axiom,
! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le__trans_0) ).
thf(332,axiom,
! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).
thf(333,axiom,
! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__psubset__trans_0) ).
thf(334,axiom,
! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__subset__trans_0) ).
thf(335,axiom,
! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_z @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I8_J_0) ).
thf(336,axiom,
! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).
thf(337,axiom,
! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
thf(338,axiom,
! [V_xs: $i,T_a: $i] : ( c_List_Odistinct @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__remdups_0) ).
thf(339,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_xs @ T_a )
= V_xs )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ V_P @ V_xs @ T_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__eq__all__conv_2) ).
thf(340,axiom,
c_in @ c_Message_Oagent_OSpy @ c_Event_Obad @ tc_Message_Oagent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).
thf(341,axiom,
! [V_x: $i,V_P: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1__filter__not_0) ).
thf(342,axiom,
! [V_X: $i,V_evs: $i,V_A: $i] :
( ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__used_0) ).
thf(343,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).
thf(344,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_1) ).
thf(345,axiom,
! [T_b: $i,V_f: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) )
| ~ ( c_HOL_Oord__class_Oless @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__fun__def_0) ).
thf(346,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__eq_0) ).
thf(347,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv3_0) ).
thf(348,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__less__linear_0) ).
thf(349,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( V_x = V_y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE_0) ).
thf(350,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).
thf(351,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( V_x = V_y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).
thf(352,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
thf(353,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
thf(354,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_1) ).
thf(355,axiom,
! [T_b: $i,V_f: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_HOL_Oord__class_Oless @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) )
| ( c_lessequals @ V_g @ V_f @ ( tc_fun @ T_a @ T_b ) )
| ~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__fun__def_2) ).
thf(356,axiom,
! [V_x: $i,T_a: $i] :
~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__eq_1) ).
thf(357,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_2) ).
thf(358,axiom,
! [V_X: $i,V_evs: $i,V_A: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
thf(359,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__remove1_0) ).
thf(360,axiom,
! [V_P: $i,V_n: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a )
= ( c_List_Oreplicate @ V_n @ V_x @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_filter__replicate_0) ).
thf(361,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__dropWhile_0) ).
thf(362,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__mono_0) ).
thf(363,axiom,
! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).
thf(364,axiom,
! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__trans_0) ).
thf(365,axiom,
! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubset__trans_0) ).
thf(366,axiom,
! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_c @ V_B @ T_a )
| ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_psubsetD_0) ).
thf(367,axiom,
! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_z @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_z @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).
thf(368,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oremdups @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__filter_0) ).
thf(369,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__leE_0) ).
thf(370,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_lessequals @ V_x @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).
thf(371,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_1) ).
thf(372,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
thf(373,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).
thf(374,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
thf(375,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
thf(376,axiom,
! [T_b: $i,V_g: $i,V_f: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ~ ( c_lessequals @ V_g @ V_f @ ( tc_fun @ T_a @ T_b ) )
| ~ ( c_HOL_Oord__class_Oless @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__fun__def_1) ).
thf(377,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
thf(378,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).
thf(379,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__subset__iff_0) ).
thf(380,axiom,
! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_nat = V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
thf(381,axiom,
! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
thf(382,axiom,
! [V_K: $i,V_X: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__used__empty_0) ).
thf(383,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct1__rotate_1) ).
thf(384,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct1__rotate_0) ).
thf(385,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__filter_0) ).
thf(386,axiom,
! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
thf(387,axiom,
! [V_X: $i,V_evs: $i,V_A: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
thf(388,axiom,
! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Ofilter @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ ( c_List_Ofilter @ V_P @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_filter__append_0) ).
thf(389,axiom,
! [V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__append_0) ).
thf(390,axiom,
! [V_ys: $i,T_a: $i,V_xs: $i] :
( ( c_List_Odistinct @ V_ys @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__append_1) ).
thf(391,axiom,
! [V_xs: $i,V_k: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Olist__update @ V_xs @ V_k @ V_x @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__nonempty_0) ).
thf(392,axiom,
! [V_x: $i,T_a: $i] :
( ( c_List_Oremove1 @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1_Osimps_I1_J_0) ).
thf(393,axiom,
! [T_a: $i,V_i: $i,V_v: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ T_a ) @ V_i @ V_v @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update_Osimps_I1_J_0) ).
thf(394,axiom,
! [T_a: $i,V_i: $i,V_y: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ T_a ) @ V_i @ V_y @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__code_I1_J_0) ).
thf(395,axiom,
! [T_a: $i,V_k: $i,V_x: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ T_a ) @ V_k @ V_x @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__nonempty_1) ).
thf(396,axiom,
! [V_P: $i,T_a: $i] :
( ( c_List_Ofilter @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_filter_Osimps_I1_J_0) ).
thf(397,axiom,
! [T_a: $i,V_x: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Oremdups @ V_x @ T_a ) )
| ( V_x
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__right__iff_0) ).
thf(398,axiom,
! [V_P: $i,T_a: $i] :
( ( c_List_OdropWhile @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dropWhile_Osimps_I1_J_0) ).
thf(399,axiom,
! [T_a: $i,V_bs: $i] :
( ( c_List_Olist__inter @ ( c_List_Olist_ONil @ T_a ) @ V_bs @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__inter_Osimps_I1_J_0) ).
thf(400,axiom,
! [T_a: $i] :
( ( c_List_Oremdups @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__iff_1) ).
thf(401,axiom,
! [T_a: $i] : ( c_List_Odistinct @ ( c_List_Olist_ONil @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I1_J_0) ).
thf(402,axiom,
! [V_x: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_x @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_x
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__iff_0) ).
thf(403,axiom,
! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Oremdups @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__right__iff_1) ).
thf(404,axiom,
! [V_xs: $i,T_a: $i,V_x: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_1) ).
thf(405,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oremove1 @ V_x @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= V_xs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1_Osimps_I2_J_0) ).
thf(406,axiom,
! [V_x: $i,V_xs: $i,T_a: $i,V_P: $i,V_ys: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Ofilter @ V_P @ V_ys @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__filterD_2) ).
thf(407,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_filter_Osimps_I2_J_0) ).
thf(408,axiom,
! [V_P: $i,V_ys: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Ofilter @ V_P @ V_ys @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_filter__eq__ConsD_2) ).
thf(409,axiom,
! [V_P: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dropWhile__eq__Cons__conv_1) ).
thf(410,axiom,
! [V_x: $i,V_y: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Olist_OCons @ V_y @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_y @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ T_a ) )
| ( V_x = V_y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1_Osimps_I2_J_1) ).
thf(411,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OdropWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dropWhile_Osimps_I2_J_0) ).
thf(412,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OdropWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dropWhile_Osimps_I2_J_1) ).
thf(413,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_filter_Osimps_I2_J_1) ).
thf(414,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__takeWhile_0) ).
thf(415,axiom,
! [T_b: $i,V_xs: $i,T_a: $i,V_f: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__insort_1) ).
thf(416,axiom,
! [V_P: $i,V_x: $i,T_a: $i,V_Q: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_x @ T_a )
= ( c_List_OtakeWhile @ V_Q @ V_x @ T_a ) )
| ( hBOOL @ ( hAPP @ V_Q @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__cong_1) ).
thf(417,axiom,
! [V_P: $i,V_x: $i,T_a: $i,V_Q: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_x @ T_a )
= ( c_List_OtakeWhile @ V_Q @ V_x @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_Q @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile__cong_2) ).
thf(418,axiom,
! [V_X: $i,V_H: $i,V_K: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).
thf(419,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_xs @ T_a )
= V_xs )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__remdups__id_0) ).
thf(420,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_xs @ T_a )
!= V_xs )
| ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__id__iff__distinct_0) ).
thf(421,axiom,
! [V_H: $i] :
( ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) )
= ( c_Message_Osynth @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__idem_0) ).
thf(422,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__rev_0) ).
thf(423,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__rev_1) ).
thf(424,axiom,
! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__synthD_0) ).
thf(425,axiom,
! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OInj_0) ).
thf(426,axiom,
! [V_evs: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
thf(427,axiom,
! [V_c: $i,V_evs: $i] :
( ( c_in @ V_c @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).
thf(428,axiom,
! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__subset_0) ).
thf(429,axiom,
! [V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
thf(430,axiom,
! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__trans_0) ).
thf(431,axiom,
! [V_c: $i,V_a: $i,V_G: $i] :
( ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insertI_0) ).
thf(432,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ V_H ) )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
thf(433,axiom,
! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__parts__not__analz_0) ).
thf(434,axiom,
! [V_c: $i,V_H: $i] :
( ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__into__parts_0) ).
thf(435,axiom,
! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
thf(436,axiom,
! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__analz_0) ).
thf(437,axiom,
! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
thf(438,axiom,
! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__idem_0) ).
thf(439,axiom,
! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__parts_0) ).
thf(440,axiom,
! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
thf(441,axiom,
! [V_X: $i,V_H: $i,V_K: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
thf(442,axiom,
! [V_K: $i,V_X: $i,V_B: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).
thf(443,axiom,
! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__partsD_0) ).
thf(444,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__mono_0) ).
thf(445,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).
thf(446,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
thf(447,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).
thf(448,axiom,
! [V_X: $i,V_evs: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__into__used_0) ).
thf(449,axiom,
! [V_x: $i,V_y: $i] :
( ( ( c_Public_OshrK @ V_x )
!= ( c_Public_OshrK @ V_y ) )
| ( V_x = V_y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__injective_0) ).
thf(450,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(451,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[450]) ).
thf(452,negated_conjecture,
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ v_A @ v_B @ v_X ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
!= ( c_Set_Oinsert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(453,plain,
$false = $false,
inference(unfold_def,[status(thm)],[451]) ).
thf(454,plain,
( ( ! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( c_fequal @ V_X @ V_Y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(455,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(456,plain,
( ( class_HOL_Oord @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(457,plain,
( ( class_Orderings_Oorder @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(458,plain,
( ( class_Orderings_Opreorder @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(459,plain,
( ( class_HOL_Oord @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(460,plain,
( ( class_Orderings_Oorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(461,plain,
( ( class_Orderings_Olinorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(462,plain,
( ( class_Orderings_Opreorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(463,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_HOL_Oord @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_HOL_Oord @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(464,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Oorder @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(465,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Opreorder @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(466,plain,
( ( ! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(467,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(468,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)],[15]) ).
thf(469,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)],[16]) ).
thf(470,plain,
( ( ! [V_a_H: $i,V_list_H: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(471,plain,
( ( ! [V_x: $i,V_xa: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_xa @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(472,plain,
( ( ! [V_x: $i,V_xs1: $i,V_zs: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xs1 @ V_zs @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xs1 @ T_a ) @ V_zs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(473,plain,
( ( ! [V_x: $i,V_xa: $i,V_zs: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xa @ V_zs @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ V_zs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(474,plain,
( ( ! [V_y: $i,V_A: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_A @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(475,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ V_ys @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(476,plain,
( ( ! [V_x: $i,V_xa: $i,T_a: $i,V_zs: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ V_zs @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xa @ V_zs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(477,plain,
( ( ! [V_x: $i,V_y: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_y @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(478,plain,
( ( ! [V_ys: $i,V_xs: $i,T_a: $i,V_zs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_xs @ T_a )
!= ( c_List_Oappend @ V_zs @ V_xs @ T_a ) )
| ( V_ys = V_zs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(479,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i,V_zs: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= ( c_List_Oappend @ V_xs @ V_zs @ T_a ) )
| ( V_ys = V_zs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(480,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(481,plain,
( ( ! [V_x: $i,T_a: $i] :
( V_x
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(482,plain,
( ( ! [V_xs: $i,T_a: $i] :
( V_xs
= ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(483,plain,
( ( ! [T_a: $i,V_ys: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a )
= V_ys ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(484,plain,
( ( ! [V_ys: $i,T_a: $i] :
( V_ys
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(485,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(486,plain,
( ( ! [V_A: $i,V_x: $i,V_y: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ( V_y = V_x )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(487,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(488,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(489,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(490,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(491,plain,
( ( ! [T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(492,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(493,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(494,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(495,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent2 = V_agent2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(496,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent1 = V_agent1_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(497,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= V_xs )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(498,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( V_xs
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(499,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= V_ys )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(500,plain,
( ( ! [V_ys: $i,V_xs: $i,T_a: $i] :
( ( V_ys
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(501,plain,
( ( ! [T_a: $i,V_x: $i,V_xs: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(502,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(503,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)],[50]) ).
thf(504,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)],[51]) ).
thf(505,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i,V_ys: $i,V_y: $i] :
( ( ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
!= ( c_List_Oappend @ V_ys @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_xs = V_ys ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(506,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i,V_ys: $i,V_y: $i] :
( ( ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
!= ( c_List_Oappend @ V_ys @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_x = V_y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(507,plain,
( ( ! [T_a: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(508,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i,V_zs: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ V_zs @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Oappend @ V_ys @ V_zs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(509,plain,
( ( ! [V_xs: $i,V_xs1: $i,V_us: $i,T_a: $i] :
( ( c_List_Oappend @ V_xs @ ( c_List_Oappend @ V_xs1 @ V_us @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oappend @ V_xs @ V_xs1 @ T_a ) @ V_us @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(510,plain,
( ( ! [V_zs: $i,V_x: $i,T_a: $i,V_ys: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ V_zs @ V_x @ T_a ) @ V_ys @ T_a )
= ( c_List_Oappend @ V_zs @ ( c_List_Oappend @ V_x @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(511,plain,
( ( ! [V_xs: $i,V_x: $i,V_ts: $i,T_a: $i] :
( ( c_List_Oappend @ V_xs @ ( c_List_Oappend @ V_x @ V_ts @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oappend @ V_xs @ V_x @ T_a ) @ V_ts @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(512,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(513,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ( V_A = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(514,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(515,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(516,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(517,plain,
( ( ! [V_i: $i,V_x: $i,T_a: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ V_i @ V_x @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oreplicate @ V_i @ V_x @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(518,plain,
( ( ! [V_x: $i,V_xs: $i,T_b: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_b )
= ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_b ) @ T_b ) @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(519,plain,
( ( ! [V_ys: $i,T_a: $i,V_y: $i] :
( ( c_List_Orev @ ( c_List_Oappend @ ( c_List_Orev @ V_ys @ T_a ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(520,plain,
( ( ! [V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_Orev @ V_ys @ T_a ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(521,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Orev @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(522,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a )
= V_ys )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(523,plain,
( ( ! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a )
= V_xs )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(524,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(525,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) @ T_a )
= V_x ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(526,plain,
( ( ! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( V_ys
= ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(527,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(528,plain,
( ( ! [V_A: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ V_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(529,plain,
( ( ! [V_A: $i,V_evs: $i,V_e: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ V_e @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(530,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(531,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Ohd @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(532,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Obutlast @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(533,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Otl @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Otl @ V_xs @ T_a ) @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(534,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Olast @ V_ys @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(535,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(536,plain,
( ( ! [T_a: $i,V_ys: $i] :
( ( c_List_Ohd @ ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a ) @ T_a )
= ( c_List_Ohd @ V_ys @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(537,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Obutlast @ V_ys @ T_a ) @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(538,plain,
( ( ! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a )
= V_xs )
| ( V_zs
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(539,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a )
= V_ys )
| ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
= V_zs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(540,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(541,plain,
( ( ! [V_f: $i,V_x: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Oconcat__map @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_b @ T_a )
= ( c_List_Oappend @ ( hAPP @ V_f @ V_x ) @ ( c_List_Oconcat__map @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(542,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(543,plain,
( ( ! [V_P: $i,V_xs: $i,V_x: $i,V_l: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ V_l @ T_a ) @ T_a ) @ T_a )
= ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(544,plain,
( ( ! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( V_ys
= ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a ) )
| ( V_zs
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(545,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a ) )
| ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
= V_zs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(546,plain,
( ( ! [V_n: $i,V_x: $i,T_a: $i,V_xs: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(547,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(548,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Orev @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(549,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(550,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(551,plain,
( ( ! [V_x: $i,T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
!= ( c_List_Orev @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(552,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(553,plain,
( ( ! [V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(554,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(555,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(556,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Olast @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= V_x ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(557,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(558,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(559,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(560,plain,
( ( ! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(561,plain,
( ( ! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(562,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oappend @ ( c_List_Obutlast @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= V_xs )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(563,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( V_xs
= ( c_List_Oappend @ ( c_List_Osko__List__Xrev__cases__1__1 @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__cases__1__2 @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(564,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_xs ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Oappend @ ( c_List_Osko__List__Xrev__induct__1__2 @ V_P @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__induct__1__1 @ V_P @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ T_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(565,plain,
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(566,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(567,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(568,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oanalz @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(569,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) @ ( c_List_Oset @ V_xb @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(570,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_xs @ T_a )
!= V_xs )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(571,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(572,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(573,plain,
( ( ! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(574,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(575,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(576,plain,
( ( ! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(577,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(578,plain,
( ( ! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(579,plain,
( ( ! [V_t: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_t @ V_B @ T_a )
| ~ ( c_in @ V_t @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(580,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(581,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_lessequals @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(582,plain,
( ( ! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_c @ V_B @ T_a )
| ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(583,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(584,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(585,plain,
( ( ! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(586,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(587,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OGets @ V_agent @ V_msg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(588,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(589,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) @ ( c_List_Oset @ V_xb @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(590,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(591,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_B @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(592,plain,
( ( ! [V_X: $i,V_G: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_G ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(593,plain,
( ( ! [V_xs: $i,T_a: $i,V_x: $i] : ( c_lessequals @ ( c_List_Oset @ V_xs @ T_a ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(594,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Orev @ V_ys @ T_a ) )
| ( V_xs = V_ys ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(595,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(596,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Oset @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(597,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(598,plain,
( ( ! [V_x: $i,V_y: $i,V_n: $i,T_a: $i] :
( ( V_x = V_y )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oreplicate @ V_n @ V_y @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(599,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(600,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(601,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(602,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(603,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(604,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(605,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(606,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(607,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(608,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( ( c_List_Osplice @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ V_ys @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ ( c_List_Ohd @ V_ys @ T_a ) @ ( c_List_Osplice @ V_xs @ ( c_List_Otl @ V_ys @ T_a ) @ T_a ) @ T_a ) @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(609,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_y: $i,V_ys: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_y @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_ys @ T_a @ T_b ) @ T_a ) )
| ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_f @ V_y ) @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(610,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(611,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(612,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(613,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(614,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(615,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(616,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(617,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Ohd @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(618,plain,
( ( ! [V_n: $i,V_x: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a )
= ( c_List_Oreplicate @ V_n @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(619,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) @ ( c_List_Oset @ V_x @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(620,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(621,plain,
( ( ! [V_ys: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Orev @ V_ys @ T_a ) @ T_a )
= V_ys ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(622,plain,
( ( ! [V_xs: $i,T_a: $i] :
( V_xs
= ( c_List_Orev @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(623,plain,
( ( ! [V_A: $i,V_evs: $i] : ( c_lessequals @ ( c_Event_OinitState @ V_A ) @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(624,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_Y @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(625,plain,
( ( ! [V_m: $i,V_x: $i,T_a: $i,V_n: $i,V_y: $i] :
( ( ( c_List_Oreplicate @ V_m @ V_x @ T_a )
!= ( c_List_Oreplicate @ V_n @ V_y @ T_a ) )
| ( V_m = V_n ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(626,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Olast @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= ( c_List_Ohd @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(627,plain,
( ( ! [V_as: $i,T_a: $i] :
( ( c_in @ ( c_List_Olast @ V_as @ T_a ) @ ( c_List_Oset @ V_as @ T_a ) @ T_a )
| ( V_as
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(628,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(629,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)],[176]) ).
thf(630,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)],[177]) ).
thf(631,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(632,plain,
( ( ! [V_y: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( c_in @ V_y @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ( V_y = V_x )
| ~ ( c_in @ V_y @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(633,plain,
( ( ! [T_a: $i,V_x: $i,V_xa: $i,V_ys: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_xa @ T_a )
| ~ ( c_in @ V_xa @ ( c_List_Oset @ V_ys @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(634,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) @ ( c_List_Oset @ V_x @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(635,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(636,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_H ) )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(637,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(638,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(639,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(640,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(641,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_y: $i,V_ys: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) )
| ~ ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_f @ V_y ) @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(642,plain,
( ( ! [T_a: $i,V_P: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(643,plain,
( ( ! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ V_ys @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(644,plain,
( ( ! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(645,plain,
( ( ! [V_c: $i,V_a: $i,V_G: $i] :
( ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(646,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_P: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(647,plain,
( ( ! [T_a: $i,V_x: $i,V_xa: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_xa @ T_a )
| ~ ( c_in @ V_xa @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(648,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_in @ ( c_List_Ohd @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(649,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(650,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_g @ V_x ) @ T_b )
| ~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(651,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Ohd @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= V_x ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(652,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Otl @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(653,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ ( c_List_Osplice @ V_xs @ V_ys @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(654,plain,
( ( ! [T_a: $i,V_y: $i,V_zs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(655,plain,
( ( ! [T_a: $i,V_xs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(656,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(657,plain,
( ( ! [V_a: $i,V_C: $i,T_a: $i,V_D: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_a @ V_C @ T_a ) @ ( c_Set_Oinsert @ V_a @ V_D @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_C @ V_D @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(658,plain,
( ( ! [V_a: $i,V_b: $i,V_A: $i,T_a: $i] :
( ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(659,plain,
( ( ! [V_a: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ V_B @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(660,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i,V_b: $i] :
( ( c_in @ V_a @ V_A @ T_a )
| ( V_a = V_b )
| ~ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(661,plain,
( ( ! [V_B: $i,V_a: $i,T_a: $i] : ( c_lessequals @ V_B @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(662,plain,
( ( ! [V_A: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(663,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(664,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] : ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(665,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i] : ( c_in @ V_a @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(666,plain,
( ( ! [V_evs: $i] : ( c_lessequals @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(667,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_in @ V_X @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg )
| ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ V_A @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ V_A @ V_X @ V_evs ) @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_A = c_Message_Oagent_OSpy )
| ~ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(668,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(669,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(670,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(671,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ( c_in @ V_x @ V_B @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[218]) ).
thf(672,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(673,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(674,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a ) )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(675,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[222]) ).
thf(676,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Olength__unique @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olength__unique @ V_xs @ T_a ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(677,plain,
( ( ! [V_a: $i,V_as: $i,T_a: $i,V_bs: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ V_a @ V_as @ T_a ) @ V_bs @ T_a )
= ( c_List_Olist__inter @ V_as @ V_bs @ T_a ) )
| ( c_in @ V_a @ ( c_List_Oset @ V_bs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(678,plain,
( ( ! [V_a: $i,V_as: $i,T_a: $i,V_bs: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ V_a @ V_as @ T_a ) @ V_bs @ T_a )
= ( c_List_Olist_OCons @ V_a @ ( c_List_Olist__inter @ V_as @ V_bs @ T_a ) @ T_a ) )
| ~ ( c_in @ V_a @ ( c_List_Oset @ V_bs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(679,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Oremdups @ V_xs @ T_a ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(680,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i,V_A: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ T_a ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_lessequals @ ( c_List_Oset @ V_xs @ T_a ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(681,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(682,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_Ofilter @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(683,plain,
( ( ! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Oremove1 @ V_x @ V_ys @ T_a ) @ T_a ) )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(684,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OdropWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ V_ys @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(685,plain,
( ( ! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ V_ys @ T_a ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(686,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ T_a ) @ ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(687,plain,
( ( ! [T_a: $i,V_x: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(688,plain,
( ( ! [V_P: $i,V_x: $i,T_a: $i,V_Q: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_x @ T_a )
= ( c_List_OtakeWhile @ V_Q @ V_x @ T_a ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) @ ( c_List_Oset @ V_x @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(689,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_xs @ T_a )
= V_xs )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ V_P @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(690,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(691,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(692,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(693,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(694,plain,
( ( ! [V_xs: $i,V_P: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( V_xs
!= ( c_List_Oappend @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) )
| ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(695,plain,
( ( ! [T_b: $i,V_f: $i,V_a: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_a @ V_xs @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_a @ V_xs @ T_a ) )
| ~ ( c_lessequals @ ( hAPP @ V_f @ V_a ) @ ( hAPP @ V_f @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ V_a @ V_f @ V_xs @ T_a @ T_b ) ) @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(696,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(697,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(698,plain,
( ( ! [T_b: $i,V_x: $i,V_xs: $i,T_a: $i,V_f: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(699,plain,
( ( ! [T_a: $i,V_x: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ V_x @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(700,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ V_xs @ V_ys @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(701,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ V_xs @ V_ys @ T_a ) @ ( c_List_Oset @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(702,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_OtakeWhile @ V_P @ V_ys @ T_a ) @ T_a ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ V_P @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(703,plain,
( ( ! [T_b: $i,V_f: $i,V_a: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_a @ V_xs @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_a @ V_xs @ T_a ) )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ V_a @ V_f @ V_xs @ T_a @ T_b ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(704,plain,
( ( ! [V_B: $i,V_X: $i,V_evsf: $i] :
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ V_B @ V_X ) @ V_evsf @ tc_Event_Oevent ) )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evsf ) ) ) @ tc_Message_Omsg )
| ~ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evsf ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(705,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(706,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(707,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(708,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(709,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(710,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(711,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(712,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(713,plain,
( ( ! [V_H: $i,V_H_H: $i,V_X: $i] :
( ( ( c_Message_Oanalz @ V_H )
!= ( c_Message_Oanalz @ V_H_H ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H_H @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(714,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Orev @ V_ys @ T_a ) @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(715,plain,
( ( ! [V_n: $i,V_x: $i,T_a: $i,V_k: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ ( c_List_Oreplicate @ V_k @ V_x @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oreplicate @ V_k @ V_x @ T_a ) @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(716,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(717,plain,
( ( ! [T_a: $i,V_ys: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(718,plain,
( ( ! [V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] : ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oappend @ V_xa @ ( c_List_Olist_OCons @ V_x @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(719,plain,
( ( ! [V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oappend @ V_xa @ ( c_List_Olist_OCons @ V_x @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xb @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(720,plain,
( ( ! [V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oappend @ V_xa @ ( c_List_Olist_OCons @ V_x @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xa @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(721,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Orotate1 @ V_xs @ T_a )
= ( c_List_Oappend @ ( c_List_Otl @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(722,plain,
( ( ! [T_a: $i] :
( ( c_List_Orev @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(723,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(724,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(725,plain,
( ( ! [T_a: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(726,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Orotate1 @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(727,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_xs ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xrev__induct__1__2 @ V_P @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ T_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(728,plain,
( ( ! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_List_Oconcat__map @ V_f @ ( c_List_Olist_ONil @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(729,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Orev @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(730,plain,
( ( ! [T_a: $i] :
( ( c_List_Otl @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(731,plain,
( ( ! [T_a: $i,V_ys: $i] :
( ( c_List_Osplice @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a )
= V_ys ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(732,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Osplice @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(733,plain,
( ( ! [V_P: $i,T_a: $i] :
( ( c_List_OtakeWhile @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(734,plain,
( ( ! [T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(735,plain,
( ( ! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Orev @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(736,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i] :
( ( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
= V_A )
| ~ ( c_in @ V_a @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(737,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( ( c_Set_Oinsert @ V_x @ V_A @ T_a )
!= ( c_Set_Oinsert @ V_x @ V_B @ T_a ) )
| ( c_in @ V_x @ V_B @ T_a )
| ( c_in @ V_x @ V_A @ T_a )
| ( V_A = V_B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(738,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i] : ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(739,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oused @ V_evs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(740,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Ohd @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a ) ) )
| ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(741,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(742,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(743,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(744,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_A = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(745,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_OtakeWhile @ V_P @ V_ys @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ V_P @ V_xs @ T_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(746,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oappend @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(747,plain,
( ( ! [V_P: $i,V_n: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(748,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( ( c_List_Oset @ V_xs @ T_a )
!= ( c_List_Oset @ V_ys @ T_a ) )
| ~ ( c_List_Odistinct @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ( V_xs = V_ys ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(749,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(750,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(751,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(752,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(753,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(754,plain,
( ( ! [V_a: $i,V_b: $i,V_xs: $i,T_a: $i] :
( ( c_in @ V_a @ ( c_List_Oset @ ( c_List_Oremove1 @ V_b @ V_xs @ T_a ) @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ( V_a = V_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(755,plain,
( ( ! [V_a: $i,V_xs: $i,T_a: $i,V_b: $i] :
( ( c_in @ V_a @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ ( c_List_Oset @ ( c_List_Oremove1 @ V_b @ V_xs @ T_a ) @ T_a ) @ T_a )
| ( V_a = V_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(756,plain,
( ( ! [V_x: $i,V_y: $i,V_xs: $i,T_a: $i] :
( ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oremove1 @ V_y @ V_xs @ T_a ) @ T_a ) @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(757,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_Ofilter @ V_P @ V_xs @ T_a )
!= V_xs )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(758,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(759,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(760,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(761,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(762,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ V_xs @ V_ys @ T_a ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(763,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(764,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(765,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(766,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(767,plain,
( ( ! [T_a: $i,V_a: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ V_a @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(768,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(769,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i,V_y: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ V_i @ V_y @ T_a )
= ( c_List_Olist__update @ V_xs @ V_i @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(770,plain,
( ( ! [T_a: $i,V_P: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(771,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(772,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(773,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a )
| ~ ( c_lessequals @ V_a @ V_b @ T_a )
| ( V_a = V_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(774,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a )
| ( V_a = V_b )
| ~ ( c_lessequals @ V_a @ V_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(775,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(776,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(777,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(778,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( V_A = V_B )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(779,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a )
| ~ ( c_lessequals @ V_b @ V_a @ T_a )
| ( V_a = V_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(780,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a )
| ( V_a = V_b )
| ~ ( c_lessequals @ V_b @ V_a @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(781,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(782,plain,
( ( ! [T_a: $i,V_l: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ V_l @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_l @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(783,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i,V_i_H: $i,V_x_H: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ V_i_H @ V_x_H @ T_a )
= ( c_List_Olist__update @ ( c_List_Olist__update @ V_xs @ V_i_H @ V_x_H @ T_a ) @ V_i @ V_x @ T_a ) )
| ( V_i = V_i_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(784,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(785,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(786,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(787,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(788,plain,
( ( ! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_z @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(789,plain,
( ( ! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(790,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(791,plain,
( ( ! [V_xs: $i,T_a: $i] : ( c_List_Odistinct @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(792,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_xs @ T_a )
= V_xs )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ V_P @ V_xs @ T_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(793,plain,
( ( c_in @ c_Message_Oagent_OSpy @ c_Event_Obad @ tc_Message_Oagent )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(794,plain,
( ( ! [V_x: $i,V_P: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(795,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(796,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(797,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(798,plain,
( ( ! [T_b: $i,V_f: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) )
| ~ ( c_HOL_Oord__class_Oless @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(799,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(800,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(801,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(802,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( V_x = V_y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(803,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(804,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( V_x = V_y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(805,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(806,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(807,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(808,plain,
( ( ! [T_b: $i,V_f: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_HOL_Oord__class_Oless @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) )
| ( c_lessequals @ V_g @ V_f @ ( tc_fun @ T_a @ T_b ) )
| ~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(809,plain,
( ( ! [V_x: $i,T_a: $i] :
~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(810,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(811,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(812,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[359]) ).
thf(813,plain,
( ( ! [V_P: $i,V_n: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a )
= ( c_List_Oreplicate @ V_n @ V_x @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[360]) ).
thf(814,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(815,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[362]) ).
thf(816,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[363]) ).
thf(817,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[364]) ).
thf(818,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(819,plain,
( ( ! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_c @ V_B @ T_a )
| ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(820,plain,
( ( ! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_z @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_z @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[367]) ).
thf(821,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oremdups @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[368]) ).
thf(822,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[369]) ).
thf(823,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_lessequals @ V_x @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(824,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[371]) ).
thf(825,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[372]) ).
thf(826,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[373]) ).
thf(827,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(828,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[375]) ).
thf(829,plain,
( ( ! [T_b: $i,V_g: $i,V_f: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ~ ( c_lessequals @ V_g @ V_f @ ( tc_fun @ T_a @ T_b ) )
| ~ ( c_HOL_Oord__class_Oless @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[376]) ).
thf(830,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(831,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(832,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[379]) ).
thf(833,plain,
( ( ! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(834,plain,
( ( ! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[381]) ).
thf(835,plain,
( ( ! [V_K: $i,V_X: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(836,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(837,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(838,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(839,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(840,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(841,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Ofilter @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ ( c_List_Ofilter @ V_P @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(842,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(843,plain,
( ( ! [V_ys: $i,T_a: $i,V_xs: $i] :
( ( c_List_Odistinct @ V_ys @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(844,plain,
( ( ! [V_xs: $i,V_k: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Olist__update @ V_xs @ V_k @ V_x @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(845,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Oremove1 @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(846,plain,
( ( ! [T_a: $i,V_i: $i,V_v: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ T_a ) @ V_i @ V_v @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(847,plain,
( ( ! [T_a: $i,V_i: $i,V_y: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ T_a ) @ V_i @ V_y @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(848,plain,
( ( ! [T_a: $i,V_k: $i,V_x: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ T_a ) @ V_k @ V_x @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(849,plain,
( ( ! [V_P: $i,T_a: $i] :
( ( c_List_Ofilter @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(850,plain,
( ( ! [T_a: $i,V_x: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Oremdups @ V_x @ T_a ) )
| ( V_x
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(851,plain,
( ( ! [V_P: $i,T_a: $i] :
( ( c_List_OdropWhile @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(852,plain,
( ( ! [T_a: $i,V_bs: $i] :
( ( c_List_Olist__inter @ ( c_List_Olist_ONil @ T_a ) @ V_bs @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(853,plain,
( ( ! [T_a: $i] :
( ( c_List_Oremdups @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(854,plain,
( ( ! [T_a: $i] : ( c_List_Odistinct @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(855,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_x @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_x
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[402]) ).
thf(856,plain,
( ( ! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Oremdups @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[403]) ).
thf(857,plain,
( ( ! [V_xs: $i,T_a: $i,V_x: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[404]) ).
thf(858,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oremove1 @ V_x @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(859,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_P: $i,V_ys: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Ofilter @ V_P @ V_ys @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(860,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[407]) ).
thf(861,plain,
( ( ! [V_P: $i,V_ys: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Ofilter @ V_P @ V_ys @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[408]) ).
thf(862,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[409]) ).
thf(863,plain,
( ( ! [V_x: $i,V_y: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Olist_OCons @ V_y @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_y @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ T_a ) )
| ( V_x = V_y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[410]) ).
thf(864,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OdropWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[411]) ).
thf(865,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OdropWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[412]) ).
thf(866,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[413]) ).
thf(867,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(868,plain,
( ( ! [T_b: $i,V_xs: $i,T_a: $i,V_f: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(869,plain,
( ( ! [V_P: $i,V_x: $i,T_a: $i,V_Q: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_x @ T_a )
= ( c_List_OtakeWhile @ V_Q @ V_x @ T_a ) )
| ( hBOOL @ ( hAPP @ V_Q @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(870,plain,
( ( ! [V_P: $i,V_x: $i,T_a: $i,V_Q: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_x @ T_a )
= ( c_List_OtakeWhile @ V_Q @ V_x @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_Q @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(871,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(872,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_xs @ T_a )
= V_xs )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(873,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_xs @ T_a )
!= V_xs )
| ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(874,plain,
( ( ! [V_H: $i] :
( ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) )
= ( c_Message_Osynth @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(875,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(876,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(877,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(878,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(879,plain,
( ( ! [V_evs: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(880,plain,
( ( ! [V_c: $i,V_evs: $i] :
( ( c_in @ V_c @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(881,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(882,plain,
( ( ! [V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(883,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430]) ).
thf(884,plain,
( ( ! [V_c: $i,V_a: $i,V_G: $i] :
( ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(885,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ V_H ) )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(886,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(887,plain,
( ( ! [V_c: $i,V_H: $i] :
( ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(888,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(889,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(890,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(891,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(892,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(893,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(894,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(895,plain,
( ( ! [V_K: $i,V_X: $i,V_B: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(896,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(897,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(898,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(899,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(900,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(901,plain,
( ( ! [V_X: $i,V_evs: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(902,plain,
( ( ! [V_x: $i,V_y: $i] :
( ( ( c_Public_OshrK @ V_x )
!= ( c_Public_OshrK @ V_y ) )
| ( V_x = V_y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(903,plain,
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ v_A @ v_B @ v_X ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
!= ( c_Set_Oinsert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(904,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[453]) ).
thf(905,plain,
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ v_A @ v_B @ v_X ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
!= ( c_Set_Oinsert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[903]) ).
thf(906,plain,
( ( ! [V_x: $i,V_y: $i] :
( ( ( c_Public_OshrK @ V_x )
!= ( c_Public_OshrK @ V_y ) )
| ( V_x = V_y ) ) )
= $true ),
inference(copy,[status(thm)],[902]) ).
thf(907,plain,
( ( ! [V_X: $i,V_evs: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[901]) ).
thf(908,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[900]) ).
thf(909,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[899]) ).
thf(910,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[898]) ).
thf(911,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[897]) ).
thf(912,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[896]) ).
thf(913,plain,
( ( ! [V_K: $i,V_X: $i,V_B: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[895]) ).
thf(914,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[894]) ).
thf(915,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[893]) ).
thf(916,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[892]) ).
thf(917,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[891]) ).
thf(918,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[890]) ).
thf(919,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[889]) ).
thf(920,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[888]) ).
thf(921,plain,
( ( ! [V_c: $i,V_H: $i] :
( ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[887]) ).
thf(922,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[886]) ).
thf(923,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ V_H ) )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[885]) ).
thf(924,plain,
( ( ! [V_c: $i,V_a: $i,V_G: $i] :
( ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[884]) ).
thf(925,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[883]) ).
thf(926,plain,
( ( ! [V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[882]) ).
thf(927,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[881]) ).
thf(928,plain,
( ( ! [V_c: $i,V_evs: $i] :
( ( c_in @ V_c @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[880]) ).
thf(929,plain,
( ( ! [V_evs: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[879]) ).
thf(930,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[878]) ).
thf(931,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[877]) ).
thf(932,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[876]) ).
thf(933,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[875]) ).
thf(934,plain,
( ( ! [V_H: $i] :
( ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) )
= ( c_Message_Osynth @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[874]) ).
thf(935,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_xs @ T_a )
!= V_xs )
| ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[873]) ).
thf(936,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_xs @ T_a )
= V_xs )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[872]) ).
thf(937,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[871]) ).
thf(938,plain,
( ( ! [V_P: $i,V_x: $i,T_a: $i,V_Q: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_x @ T_a )
= ( c_List_OtakeWhile @ V_Q @ V_x @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_Q @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[870]) ).
thf(939,plain,
( ( ! [V_P: $i,V_x: $i,T_a: $i,V_Q: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_x @ T_a )
= ( c_List_OtakeWhile @ V_Q @ V_x @ T_a ) )
| ( hBOOL @ ( hAPP @ V_Q @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[869]) ).
thf(940,plain,
( ( ! [T_b: $i,V_xs: $i,T_a: $i,V_f: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[868]) ).
thf(941,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[867]) ).
thf(942,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[866]) ).
thf(943,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OdropWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[865]) ).
thf(944,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OdropWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[864]) ).
thf(945,plain,
( ( ! [V_x: $i,V_y: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Olist_OCons @ V_y @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_y @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ T_a ) )
| ( V_x = V_y ) ) )
= $true ),
inference(copy,[status(thm)],[863]) ).
thf(946,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_y ) ) ) )
= $true ),
inference(copy,[status(thm)],[862]) ).
thf(947,plain,
( ( ! [V_P: $i,V_ys: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Ofilter @ V_P @ V_ys @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[861]) ).
thf(948,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[860]) ).
thf(949,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_P: $i,V_ys: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Ofilter @ V_P @ V_ys @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[859]) ).
thf(950,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oremove1 @ V_x @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(copy,[status(thm)],[858]) ).
thf(951,plain,
( ( ! [V_xs: $i,T_a: $i,V_x: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[857]) ).
thf(952,plain,
( ( ! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Oremdups @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[856]) ).
thf(953,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_x @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_x
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[855]) ).
thf(954,plain,
( ( ! [T_a: $i] : ( c_List_Odistinct @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[854]) ).
thf(955,plain,
( ( ! [T_a: $i] :
( ( c_List_Oremdups @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[853]) ).
thf(956,plain,
( ( ! [T_a: $i,V_bs: $i] :
( ( c_List_Olist__inter @ ( c_List_Olist_ONil @ T_a ) @ V_bs @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[852]) ).
thf(957,plain,
( ( ! [V_P: $i,T_a: $i] :
( ( c_List_OdropWhile @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[851]) ).
thf(958,plain,
( ( ! [T_a: $i,V_x: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Oremdups @ V_x @ T_a ) )
| ( V_x
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[850]) ).
thf(959,plain,
( ( ! [V_P: $i,T_a: $i] :
( ( c_List_Ofilter @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[849]) ).
thf(960,plain,
( ( ! [T_a: $i,V_k: $i,V_x: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ T_a ) @ V_k @ V_x @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[848]) ).
thf(961,plain,
( ( ! [T_a: $i,V_i: $i,V_y: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ T_a ) @ V_i @ V_y @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[847]) ).
thf(962,plain,
( ( ! [T_a: $i,V_i: $i,V_v: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ T_a ) @ V_i @ V_v @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[846]) ).
thf(963,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Oremove1 @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[845]) ).
thf(964,plain,
( ( ! [V_xs: $i,V_k: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Olist__update @ V_xs @ V_k @ V_x @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[844]) ).
thf(965,plain,
( ( ! [V_ys: $i,T_a: $i,V_xs: $i] :
( ( c_List_Odistinct @ V_ys @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[843]) ).
thf(966,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[842]) ).
thf(967,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Ofilter @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ ( c_List_Ofilter @ V_P @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[841]) ).
thf(968,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[840]) ).
thf(969,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[839]) ).
thf(970,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[838]) ).
thf(971,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[837]) ).
thf(972,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[836]) ).
thf(973,plain,
( ( ! [V_K: $i,V_X: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[835]) ).
thf(974,plain,
( ( ! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[834]) ).
thf(975,plain,
( ( ! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[833]) ).
thf(976,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[832]) ).
thf(977,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[831]) ).
thf(978,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[830]) ).
thf(979,plain,
( ( ! [T_b: $i,V_g: $i,V_f: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ~ ( c_lessequals @ V_g @ V_f @ ( tc_fun @ T_a @ T_b ) )
| ~ ( c_HOL_Oord__class_Oless @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[829]) ).
thf(980,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[828]) ).
thf(981,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[827]) ).
thf(982,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[826]) ).
thf(983,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[825]) ).
thf(984,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[824]) ).
thf(985,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_lessequals @ V_x @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[823]) ).
thf(986,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[822]) ).
thf(987,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oremdups @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[821]) ).
thf(988,plain,
( ( ! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_z @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_z @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[820]) ).
thf(989,plain,
( ( ! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_c @ V_B @ T_a )
| ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[819]) ).
thf(990,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[818]) ).
thf(991,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[817]) ).
thf(992,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[816]) ).
thf(993,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[815]) ).
thf(994,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[814]) ).
thf(995,plain,
( ( ! [V_P: $i,V_n: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a )
= ( c_List_Oreplicate @ V_n @ V_x @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[813]) ).
thf(996,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[812]) ).
thf(997,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[811]) ).
thf(998,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[810]) ).
thf(999,plain,
( ( ! [V_x: $i,T_a: $i] :
~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[809]) ).
thf(1000,plain,
( ( ! [T_b: $i,V_f: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_HOL_Oord__class_Oless @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) )
| ( c_lessequals @ V_g @ V_f @ ( tc_fun @ T_a @ T_b ) )
| ~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[808]) ).
thf(1001,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[807]) ).
thf(1002,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[806]) ).
thf(1003,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[805]) ).
thf(1004,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( V_x = V_y ) ) )
= $true ),
inference(copy,[status(thm)],[804]) ).
thf(1005,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[803]) ).
thf(1006,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( V_x = V_y ) ) )
= $true ),
inference(copy,[status(thm)],[802]) ).
thf(1007,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[801]) ).
thf(1008,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[800]) ).
thf(1009,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[799]) ).
thf(1010,plain,
( ( ! [T_b: $i,V_f: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) )
| ~ ( c_HOL_Oord__class_Oless @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[798]) ).
thf(1011,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[797]) ).
thf(1012,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[796]) ).
thf(1013,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[795]) ).
thf(1014,plain,
( ( ! [V_x: $i,V_P: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[794]) ).
thf(1015,plain,
( ( c_in @ c_Message_Oagent_OSpy @ c_Event_Obad @ tc_Message_Oagent )
= $true ),
inference(copy,[status(thm)],[793]) ).
thf(1016,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_xs @ T_a )
= V_xs )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ V_P @ V_xs @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[792]) ).
thf(1017,plain,
( ( ! [V_xs: $i,T_a: $i] : ( c_List_Odistinct @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[791]) ).
thf(1018,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[790]) ).
thf(1019,plain,
( ( ! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[789]) ).
thf(1020,plain,
( ( ! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_z @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[788]) ).
thf(1021,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[787]) ).
thf(1022,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[786]) ).
thf(1023,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[785]) ).
thf(1024,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[784]) ).
thf(1025,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i,V_i_H: $i,V_x_H: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ V_i_H @ V_x_H @ T_a )
= ( c_List_Olist__update @ ( c_List_Olist__update @ V_xs @ V_i_H @ V_x_H @ T_a ) @ V_i @ V_x @ T_a ) )
| ( V_i = V_i_H ) ) )
= $true ),
inference(copy,[status(thm)],[783]) ).
thf(1026,plain,
( ( ! [T_a: $i,V_l: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ V_l @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_l @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[782]) ).
thf(1027,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a )
= ( c_List_Ofilter @ V_P @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[781]) ).
thf(1028,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a )
| ( V_a = V_b )
| ~ ( c_lessequals @ V_b @ V_a @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[780]) ).
thf(1029,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a )
| ~ ( c_lessequals @ V_b @ V_a @ T_a )
| ( V_a = V_b ) ) )
= $true ),
inference(copy,[status(thm)],[779]) ).
thf(1030,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( V_A = V_B )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[778]) ).
thf(1031,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[777]) ).
thf(1032,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[776]) ).
thf(1033,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[775]) ).
thf(1034,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a )
| ( V_a = V_b )
| ~ ( c_lessequals @ V_a @ V_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[774]) ).
thf(1035,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a )
| ~ ( c_lessequals @ V_a @ V_b @ T_a )
| ( V_a = V_b ) ) )
= $true ),
inference(copy,[status(thm)],[773]) ).
thf(1036,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[772]) ).
thf(1037,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( V_x = V_y )
| ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[771]) ).
thf(1038,plain,
( ( ! [T_a: $i,V_P: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[770]) ).
thf(1039,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i,V_y: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ V_i @ V_y @ T_a )
= ( c_List_Olist__update @ V_xs @ V_i @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[769]) ).
thf(1040,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[768]) ).
thf(1041,plain,
( ( ! [T_a: $i,V_a: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ V_a @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[767]) ).
thf(1042,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[766]) ).
thf(1043,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[765]) ).
thf(1044,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_y @ V_x @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[764]) ).
thf(1045,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_b @ V_a @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_a @ V_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[763]) ).
thf(1046,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ V_xs @ V_ys @ T_a ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[762]) ).
thf(1047,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[761]) ).
thf(1048,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[760]) ).
thf(1049,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[759]) ).
thf(1050,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[758]) ).
thf(1051,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_Ofilter @ V_P @ V_xs @ T_a )
!= V_xs )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[757]) ).
thf(1052,plain,
( ( ! [V_x: $i,V_y: $i,V_xs: $i,T_a: $i] :
( ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oremove1 @ V_y @ V_xs @ T_a ) @ T_a ) @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[756]) ).
thf(1053,plain,
( ( ! [V_a: $i,V_xs: $i,T_a: $i,V_b: $i] :
( ( c_in @ V_a @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ ( c_List_Oset @ ( c_List_Oremove1 @ V_b @ V_xs @ T_a ) @ T_a ) @ T_a )
| ( V_a = V_b ) ) )
= $true ),
inference(copy,[status(thm)],[755]) ).
thf(1054,plain,
( ( ! [V_a: $i,V_b: $i,V_xs: $i,T_a: $i] :
( ( c_in @ V_a @ ( c_List_Oset @ ( c_List_Oremove1 @ V_b @ V_xs @ T_a ) @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ( V_a = V_b ) ) )
= $true ),
inference(copy,[status(thm)],[754]) ).
thf(1055,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[753]) ).
thf(1056,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[752]) ).
thf(1057,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[751]) ).
thf(1058,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[750]) ).
thf(1059,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[749]) ).
thf(1060,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( ( c_List_Oset @ V_xs @ T_a )
!= ( c_List_Oset @ V_ys @ T_a ) )
| ~ ( c_List_Odistinct @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ( V_xs = V_ys ) ) )
= $true ),
inference(copy,[status(thm)],[748]) ).
thf(1061,plain,
( ( ! [V_P: $i,V_n: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Ofilter @ V_P @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[747]) ).
thf(1062,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oappend @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(copy,[status(thm)],[746]) ).
thf(1063,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_OtakeWhile @ V_P @ V_ys @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ V_P @ V_xs @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[745]) ).
thf(1064,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_A = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(copy,[status(thm)],[744]) ).
thf(1065,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[743]) ).
thf(1066,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[742]) ).
thf(1067,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(copy,[status(thm)],[741]) ).
thf(1068,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Ohd @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ T_a ) ) )
| ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[740]) ).
thf(1069,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oused @ V_evs ) ) )
= $true ),
inference(copy,[status(thm)],[739]) ).
thf(1070,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i] : ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[738]) ).
thf(1071,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( ( c_Set_Oinsert @ V_x @ V_A @ T_a )
!= ( c_Set_Oinsert @ V_x @ V_B @ T_a ) )
| ( c_in @ V_x @ V_B @ T_a )
| ( c_in @ V_x @ V_A @ T_a )
| ( V_A = V_B ) ) )
= $true ),
inference(copy,[status(thm)],[737]) ).
thf(1072,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i] :
( ( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
= V_A )
| ~ ( c_in @ V_a @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[736]) ).
thf(1073,plain,
( ( ! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Orev @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[735]) ).
thf(1074,plain,
( ( ! [T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[734]) ).
thf(1075,plain,
( ( ! [V_P: $i,T_a: $i] :
( ( c_List_OtakeWhile @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[733]) ).
thf(1076,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Osplice @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(copy,[status(thm)],[732]) ).
thf(1077,plain,
( ( ! [T_a: $i,V_ys: $i] :
( ( c_List_Osplice @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a )
= V_ys ) )
= $true ),
inference(copy,[status(thm)],[731]) ).
thf(1078,plain,
( ( ! [T_a: $i] :
( ( c_List_Otl @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[730]) ).
thf(1079,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Orev @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[729]) ).
thf(1080,plain,
( ( ! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_List_Oconcat__map @ V_f @ ( c_List_Olist_ONil @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[728]) ).
thf(1081,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_xs ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xrev__induct__1__2 @ V_P @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[727]) ).
thf(1082,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Orotate1 @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[726]) ).
thf(1083,plain,
( ( ! [T_a: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[725]) ).
thf(1084,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[724]) ).
thf(1085,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[723]) ).
thf(1086,plain,
( ( ! [T_a: $i] :
( ( c_List_Orev @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[722]) ).
thf(1087,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Orotate1 @ V_xs @ T_a )
= ( c_List_Oappend @ ( c_List_Otl @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[721]) ).
thf(1088,plain,
( ( ! [V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oappend @ V_xa @ ( c_List_Olist_OCons @ V_x @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xa @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[720]) ).
thf(1089,plain,
( ( ! [V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oappend @ V_xa @ ( c_List_Olist_OCons @ V_x @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xb @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[719]) ).
thf(1090,plain,
( ( ! [V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] : ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oappend @ V_xa @ ( c_List_Olist_OCons @ V_x @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[718]) ).
thf(1091,plain,
( ( ! [T_a: $i,V_ys: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[717]) ).
thf(1092,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[716]) ).
thf(1093,plain,
( ( ! [V_n: $i,V_x: $i,T_a: $i,V_k: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ ( c_List_Oreplicate @ V_k @ V_x @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oreplicate @ V_k @ V_x @ T_a ) @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[715]) ).
thf(1094,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Orev @ V_ys @ T_a ) @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[714]) ).
thf(1095,plain,
( ( ! [V_H: $i,V_H_H: $i,V_X: $i] :
( ( ( c_Message_Oanalz @ V_H )
!= ( c_Message_Oanalz @ V_H_H ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H_H @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[713]) ).
thf(1096,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[712]) ).
thf(1097,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[711]) ).
thf(1098,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ) )
= $true ),
inference(copy,[status(thm)],[710]) ).
thf(1099,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ) )
= $true ),
inference(copy,[status(thm)],[709]) ).
thf(1100,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[708]) ).
thf(1101,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[707]) ).
thf(1102,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[706]) ).
thf(1103,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[705]) ).
thf(1104,plain,
( ( ! [V_B: $i,V_X: $i,V_evsf: $i] :
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ V_B @ V_X ) @ V_evsf @ tc_Event_Oevent ) )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evsf ) ) ) @ tc_Message_Omsg )
| ~ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evsf ) ) )
= $true ),
inference(copy,[status(thm)],[704]) ).
thf(1105,plain,
( ( ! [T_b: $i,V_f: $i,V_a: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_a @ V_xs @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_a @ V_xs @ T_a ) )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ V_a @ V_f @ V_xs @ T_a @ T_b ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[703]) ).
thf(1106,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_OtakeWhile @ V_P @ V_ys @ T_a ) @ T_a ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ V_P @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[702]) ).
thf(1107,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ V_xs @ V_ys @ T_a ) @ ( c_List_Oset @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[701]) ).
thf(1108,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ V_xs @ V_ys @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[700]) ).
thf(1109,plain,
( ( ! [T_a: $i,V_x: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ V_x @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[699]) ).
thf(1110,plain,
( ( ! [T_b: $i,V_x: $i,V_xs: $i,T_a: $i,V_f: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[698]) ).
thf(1111,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[697]) ).
thf(1112,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[696]) ).
thf(1113,plain,
( ( ! [T_b: $i,V_f: $i,V_a: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_a @ V_xs @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_a @ V_xs @ T_a ) )
| ~ ( c_lessequals @ ( hAPP @ V_f @ V_a ) @ ( hAPP @ V_f @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ V_a @ V_f @ V_xs @ T_a @ T_b ) ) @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[695]) ).
thf(1114,plain,
( ( ! [V_xs: $i,V_P: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( V_xs
!= ( c_List_Oappend @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) )
| ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_y ) ) ) )
= $true ),
inference(copy,[status(thm)],[694]) ).
thf(1115,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[693]) ).
thf(1116,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[692]) ).
thf(1117,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[691]) ).
thf(1118,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[690]) ).
thf(1119,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_xs @ T_a )
= V_xs )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ V_P @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[689]) ).
thf(1120,plain,
( ( ! [V_P: $i,V_x: $i,T_a: $i,V_Q: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_x @ T_a )
= ( c_List_OtakeWhile @ V_Q @ V_x @ T_a ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ V_P @ V_Q @ V_x @ T_a ) @ ( c_List_Oset @ V_x @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[688]) ).
thf(1121,plain,
( ( ! [T_a: $i,V_x: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[687]) ).
thf(1122,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ T_a ) @ ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[686]) ).
thf(1123,plain,
( ( ! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oremove1 @ V_x @ V_xs @ T_a ) @ V_ys @ T_a ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[685]) ).
thf(1124,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OdropWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ V_ys @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[684]) ).
thf(1125,plain,
( ( ! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oremove1 @ V_x @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Oremove1 @ V_x @ V_ys @ T_a ) @ T_a ) )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[683]) ).
thf(1126,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_Ofilter @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[682]) ).
thf(1127,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OdropWhile @ V_P @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[681]) ).
thf(1128,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i,V_A: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ T_a ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_lessequals @ ( c_List_Oset @ V_xs @ T_a ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[680]) ).
thf(1129,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Oremdups @ V_xs @ T_a ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[679]) ).
thf(1130,plain,
( ( ! [V_a: $i,V_as: $i,T_a: $i,V_bs: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ V_a @ V_as @ T_a ) @ V_bs @ T_a )
= ( c_List_Olist_OCons @ V_a @ ( c_List_Olist__inter @ V_as @ V_bs @ T_a ) @ T_a ) )
| ~ ( c_in @ V_a @ ( c_List_Oset @ V_bs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[678]) ).
thf(1131,plain,
( ( ! [V_a: $i,V_as: $i,T_a: $i,V_bs: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ V_a @ V_as @ T_a ) @ V_bs @ T_a )
= ( c_List_Olist__inter @ V_as @ V_bs @ T_a ) )
| ( c_in @ V_a @ ( c_List_Oset @ V_bs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[677]) ).
thf(1132,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Olength__unique @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olength__unique @ V_xs @ T_a ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[676]) ).
thf(1133,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[675]) ).
thf(1134,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a ) )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[674]) ).
thf(1135,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a )
| ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[673]) ).
thf(1136,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[672]) ).
thf(1137,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ( c_in @ V_x @ V_B @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[671]) ).
thf(1138,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_HOL_Oord__class_Oless @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[670]) ).
thf(1139,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(copy,[status(thm)],[669]) ).
thf(1140,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[668]) ).
thf(1141,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_in @ V_X @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg )
| ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ V_A @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ V_A @ V_X @ V_evs ) @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_A = c_Message_Oagent_OSpy )
| ~ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[667]) ).
thf(1142,plain,
( ( ! [V_evs: $i] : ( c_lessequals @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[666]) ).
thf(1143,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i] : ( c_in @ V_a @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[665]) ).
thf(1144,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] : ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[664]) ).
thf(1145,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[663]) ).
thf(1146,plain,
( ( ! [V_A: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[662]) ).
thf(1147,plain,
( ( ! [V_B: $i,V_a: $i,T_a: $i] : ( c_lessequals @ V_B @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[661]) ).
thf(1148,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i,V_b: $i] :
( ( c_in @ V_a @ V_A @ T_a )
| ( V_a = V_b )
| ~ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[660]) ).
thf(1149,plain,
( ( ! [V_a: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ V_B @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[659]) ).
thf(1150,plain,
( ( ! [V_a: $i,V_b: $i,V_A: $i,T_a: $i] :
( ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a )
| ~ ( c_in @ V_a @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[658]) ).
thf(1151,plain,
( ( ! [V_a: $i,V_C: $i,T_a: $i,V_D: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_a @ V_C @ T_a ) @ ( c_Set_Oinsert @ V_a @ V_D @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_C @ V_D @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[657]) ).
thf(1152,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[656]) ).
thf(1153,plain,
( ( ! [T_a: $i,V_xs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[655]) ).
thf(1154,plain,
( ( ! [T_a: $i,V_y: $i,V_zs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[654]) ).
thf(1155,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ ( c_List_Osplice @ V_xs @ V_ys @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[653]) ).
thf(1156,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Otl @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(copy,[status(thm)],[652]) ).
thf(1157,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Ohd @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= V_x ) )
= $true ),
inference(copy,[status(thm)],[651]) ).
thf(1158,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_g @ V_x ) @ T_b )
| ~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[650]) ).
thf(1159,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[649]) ).
thf(1160,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_in @ ( c_List_Ohd @ V_xs @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[648]) ).
thf(1161,plain,
( ( ! [T_a: $i,V_x: $i,V_xa: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_xa @ T_a )
| ~ ( c_in @ V_xa @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[647]) ).
thf(1162,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_P: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[646]) ).
thf(1163,plain,
( ( ! [V_c: $i,V_a: $i,V_G: $i] :
( ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[645]) ).
thf(1164,plain,
( ( ! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[644]) ).
thf(1165,plain,
( ( ! [V_x: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ V_ys @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[643]) ).
thf(1166,plain,
( ( ! [T_a: $i,V_P: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[642]) ).
thf(1167,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_y: $i,V_ys: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) )
| ~ ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_f @ V_y ) @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[641]) ).
thf(1168,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[640]) ).
thf(1169,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[639]) ).
thf(1170,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[638]) ).
thf(1171,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( c_in @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[637]) ).
thf(1172,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_H ) )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[636]) ).
thf(1173,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[635]) ).
thf(1174,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) @ ( c_List_Oset @ V_x @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[634]) ).
thf(1175,plain,
( ( ! [T_a: $i,V_x: $i,V_xa: $i,V_ys: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_xa @ T_a )
| ~ ( c_in @ V_xa @ ( c_List_Oset @ V_ys @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[633]) ).
thf(1176,plain,
( ( ! [V_y: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( c_in @ V_y @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ( V_y = V_x )
| ~ ( c_in @ V_y @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[632]) ).
thf(1177,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[631]) ).
thf(1178,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(copy,[status(thm)],[630]) ).
thf(1179,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)],[629]) ).
thf(1180,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[628]) ).
thf(1181,plain,
( ( ! [V_as: $i,T_a: $i] :
( ( c_in @ ( c_List_Olast @ V_as @ T_a ) @ ( c_List_Oset @ V_as @ T_a ) @ T_a )
| ( V_as
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[627]) ).
thf(1182,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Olast @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= ( c_List_Ohd @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[626]) ).
thf(1183,plain,
( ( ! [V_m: $i,V_x: $i,T_a: $i,V_n: $i,V_y: $i] :
( ( ( c_List_Oreplicate @ V_m @ V_x @ T_a )
!= ( c_List_Oreplicate @ V_n @ V_y @ T_a ) )
| ( V_m = V_n ) ) )
= $true ),
inference(copy,[status(thm)],[625]) ).
thf(1184,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_Y @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[624]) ).
thf(1185,plain,
( ( ! [V_A: $i,V_evs: $i] : ( c_lessequals @ ( c_Event_OinitState @ V_A ) @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[623]) ).
thf(1186,plain,
( ( ! [V_xs: $i,T_a: $i] :
( V_xs
= ( c_List_Orev @ ( c_List_Orev @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[622]) ).
thf(1187,plain,
( ( ! [V_ys: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Orev @ V_ys @ T_a ) @ T_a )
= V_ys ) )
= $true ),
inference(copy,[status(thm)],[621]) ).
thf(1188,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(copy,[status(thm)],[620]) ).
thf(1189,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) @ ( c_List_Oset @ V_x @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[619]) ).
thf(1190,plain,
( ( ! [V_n: $i,V_x: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ T_a )
= ( c_List_Oreplicate @ V_n @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[618]) ).
thf(1191,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Ohd @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[617]) ).
thf(1192,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[616]) ).
thf(1193,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[615]) ).
thf(1194,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[614]) ).
thf(1195,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[613]) ).
thf(1196,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[612]) ).
thf(1197,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[611]) ).
thf(1198,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ) )
= $true ),
inference(copy,[status(thm)],[610]) ).
thf(1199,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_y: $i,V_ys: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_y @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_ys @ T_a @ T_b ) @ T_a ) )
| ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_f @ V_y ) @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[609]) ).
thf(1200,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( ( c_List_Osplice @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ V_ys @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ ( c_List_Ohd @ V_ys @ T_a ) @ ( c_List_Osplice @ V_xs @ ( c_List_Otl @ V_ys @ T_a ) @ T_a ) @ T_a ) @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[608]) ).
thf(1201,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Orev @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[607]) ).
thf(1202,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[606]) ).
thf(1203,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[605]) ).
thf(1204,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[604]) ).
thf(1205,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[603]) ).
thf(1206,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[602]) ).
thf(1207,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[601]) ).
thf(1208,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[600]) ).
thf(1209,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ) )
= $true ),
inference(copy,[status(thm)],[599]) ).
thf(1210,plain,
( ( ! [V_x: $i,V_y: $i,V_n: $i,T_a: $i] :
( ( V_x = V_y )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Oreplicate @ V_n @ V_y @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[598]) ).
thf(1211,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[597]) ).
thf(1212,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Oset @ ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ V_xs @ T_a @ T_b ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[596]) ).
thf(1213,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[595]) ).
thf(1214,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Orev @ V_ys @ T_a ) )
| ( V_xs = V_ys ) ) )
= $true ),
inference(copy,[status(thm)],[594]) ).
thf(1215,plain,
( ( ! [V_xs: $i,T_a: $i,V_x: $i] : ( c_lessequals @ ( c_List_Oset @ V_xs @ T_a ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[593]) ).
thf(1216,plain,
( ( ! [V_X: $i,V_G: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_G ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[592]) ).
thf(1217,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_B @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[591]) ).
thf(1218,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[590]) ).
thf(1219,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) @ ( c_List_Oset @ V_xb @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[589]) ).
thf(1220,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[588]) ).
thf(1221,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OGets @ V_agent @ V_msg ) ) )
= $true ),
inference(copy,[status(thm)],[587]) ).
thf(1222,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[586]) ).
thf(1223,plain,
( ( ! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[585]) ).
thf(1224,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[584]) ).
thf(1225,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_in @ V_x @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[583]) ).
thf(1226,plain,
( ( ! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_c @ V_B @ T_a )
| ~ ( c_in @ V_c @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[582]) ).
thf(1227,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_lessequals @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[581]) ).
thf(1228,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_x @ V_B @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_in @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[580]) ).
thf(1229,plain,
( ( ! [V_t: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( c_in @ V_t @ V_B @ T_a )
| ~ ( c_in @ V_t @ V_A @ T_a )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[579]) ).
thf(1230,plain,
( ( ! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[578]) ).
thf(1231,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[577]) ).
thf(1232,plain,
( ( ! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[576]) ).
thf(1233,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[575]) ).
thf(1234,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[574]) ).
thf(1235,plain,
( ( ! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[573]) ).
thf(1236,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[572]) ).
thf(1237,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a )
| ~ ( c_in @ V_x @ ( c_List_Oset @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[571]) ).
thf(1238,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_OtakeWhile @ V_P @ V_xs @ T_a )
!= V_xs )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_in @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[570]) ).
thf(1239,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ ( c_List_Oset @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) @ T_a )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) @ ( c_List_Oset @ V_xb @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[569]) ).
thf(1240,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oanalz @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[568]) ).
thf(1241,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[567]) ).
thf(1242,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[566]) ).
thf(1243,plain,
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[565]) ).
thf(1244,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_xs ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Oappend @ ( c_List_Osko__List__Xrev__induct__1__2 @ V_P @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__induct__1__1 @ V_P @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[564]) ).
thf(1245,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( V_xs
= ( c_List_Oappend @ ( c_List_Osko__List__Xrev__cases__1__1 @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__cases__1__2 @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[563]) ).
thf(1246,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oappend @ ( c_List_Obutlast @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= V_xs )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[562]) ).
thf(1247,plain,
( ( ! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[561]) ).
thf(1248,plain,
( ( ! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[560]) ).
thf(1249,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[559]) ).
thf(1250,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_b )
| ( ( c_List_Olinorder__class_Oinsort__key @ V_f @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a @ T_b )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[558]) ).
thf(1251,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[557]) ).
thf(1252,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Olast @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= V_x ) )
= $true ),
inference(copy,[status(thm)],[556]) ).
thf(1253,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[555]) ).
thf(1254,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[554]) ).
thf(1255,plain,
( ( ! [V_xs: $i,T_a: $i,V_x: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
| ( V_xs
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[553]) ).
thf(1256,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[552]) ).
thf(1257,plain,
( ( ! [V_x: $i,T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
!= ( c_List_Orev @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[551]) ).
thf(1258,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[550]) ).
thf(1259,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[549]) ).
thf(1260,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Orev @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[548]) ).
thf(1261,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[547]) ).
thf(1262,plain,
( ( ! [V_n: $i,V_x: $i,T_a: $i,V_xs: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[546]) ).
thf(1263,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a ) )
| ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
= V_zs ) ) )
= $true ),
inference(copy,[status(thm)],[545]) ).
thf(1264,plain,
( ( ! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( V_ys
= ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a ) )
| ( V_zs
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[544]) ).
thf(1265,plain,
( ( ! [V_P: $i,V_xs: $i,V_x: $i,V_l: $i,T_a: $i] :
( ( ( c_List_OtakeWhile @ V_P @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ V_l @ T_a ) @ T_a ) @ T_a )
= ( c_List_OtakeWhile @ V_P @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[543]) ).
thf(1266,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ V_P @ V_x @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[542]) ).
thf(1267,plain,
( ( ! [V_f: $i,V_x: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Oconcat__map @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_b @ T_a )
= ( c_List_Oappend @ ( hAPP @ V_f @ V_x ) @ ( c_List_Oconcat__map @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[541]) ).
thf(1268,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,V_xb: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ ( c_List_Oappend @ V_x @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_a ) @ T_a ) @ T_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ V_P @ V_xb @ T_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[540]) ).
thf(1269,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a )
= V_ys )
| ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
= V_zs ) ) )
= $true ),
inference(copy,[status(thm)],[539]) ).
thf(1270,plain,
( ( ! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a )
= V_xs )
| ( V_zs
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[538]) ).
thf(1271,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Obutlast @ V_ys @ T_a ) @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[537]) ).
thf(1272,plain,
( ( ! [T_a: $i,V_ys: $i] :
( ( c_List_Ohd @ ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a ) @ T_a )
= ( c_List_Ohd @ V_ys @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[536]) ).
thf(1273,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[535]) ).
thf(1274,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Olast @ V_ys @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[534]) ).
thf(1275,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Otl @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Otl @ V_xs @ T_a ) @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[533]) ).
thf(1276,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Obutlast @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[532]) ).
thf(1277,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Ohd @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[531]) ).
thf(1278,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[530]) ).
thf(1279,plain,
( ( ! [V_A: $i,V_evs: $i,V_e: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ V_e @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[529]) ).
thf(1280,plain,
( ( ! [V_A: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ V_A ) ) )
= $true ),
inference(copy,[status(thm)],[528]) ).
thf(1281,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[527]) ).
thf(1282,plain,
( ( ! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( V_ys
= ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[526]) ).
thf(1283,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) @ T_a )
= V_x ) )
= $true ),
inference(copy,[status(thm)],[525]) ).
thf(1284,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(copy,[status(thm)],[524]) ).
thf(1285,plain,
( ( ! [V_ys: $i,V_zs: $i,T_a: $i,V_x: $i,V_xs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_zs @ T_a )
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ V_zs @ T_a )
= V_xs )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[523]) ).
thf(1286,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i,V_zs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
!= ( c_List_Oappend @ V_ys @ V_zs @ T_a ) )
| ( ( c_List_Olist_OCons @ V_x @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ V_x @ V_xs @ V_ys @ V_zs @ T_a ) @ T_a )
= V_ys )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[522]) ).
thf(1287,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orev @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Orev @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[521]) ).
thf(1288,plain,
( ( ! [V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( ( c_List_Orev @ V_xs @ T_a )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( c_List_Orev @ V_ys @ T_a ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[520]) ).
thf(1289,plain,
( ( ! [V_ys: $i,T_a: $i,V_y: $i] :
( ( c_List_Orev @ ( c_List_Oappend @ ( c_List_Orev @ V_ys @ T_a ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[519]) ).
thf(1290,plain,
( ( ! [V_x: $i,V_xs: $i,T_b: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_b )
= ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_b ) @ T_b ) @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[518]) ).
thf(1291,plain,
( ( ! [V_i: $i,V_x: $i,T_a: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ V_i @ V_x @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oreplicate @ V_i @ V_x @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[517]) ).
thf(1292,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[516]) ).
thf(1293,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) )
= $true ),
inference(copy,[status(thm)],[515]) ).
thf(1294,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[514]) ).
thf(1295,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ( V_A = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(copy,[status(thm)],[513]) ).
thf(1296,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[512]) ).
thf(1297,plain,
( ( ! [V_xs: $i,V_x: $i,V_ts: $i,T_a: $i] :
( ( c_List_Oappend @ V_xs @ ( c_List_Oappend @ V_x @ V_ts @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oappend @ V_xs @ V_x @ T_a ) @ V_ts @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[511]) ).
thf(1298,plain,
( ( ! [V_zs: $i,V_x: $i,T_a: $i,V_ys: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ V_zs @ V_x @ T_a ) @ V_ys @ T_a )
= ( c_List_Oappend @ V_zs @ ( c_List_Oappend @ V_x @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[510]) ).
thf(1299,plain,
( ( ! [V_xs: $i,V_xs1: $i,V_us: $i,T_a: $i] :
( ( c_List_Oappend @ V_xs @ ( c_List_Oappend @ V_xs1 @ V_us @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Oappend @ V_xs @ V_xs1 @ T_a ) @ V_us @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[509]) ).
thf(1300,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i,V_zs: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ V_zs @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Oappend @ V_ys @ V_zs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[508]) ).
thf(1301,plain,
( ( ! [T_a: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[507]) ).
thf(1302,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i,V_ys: $i,V_y: $i] :
( ( ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
!= ( c_List_Oappend @ V_ys @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_x = V_y ) ) )
= $true ),
inference(copy,[status(thm)],[506]) ).
thf(1303,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i,V_ys: $i,V_y: $i] :
( ( ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a )
!= ( c_List_Oappend @ V_ys @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
| ( V_xs = V_ys ) ) )
= $true ),
inference(copy,[status(thm)],[505]) ).
thf(1304,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)],[504]) ).
thf(1305,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)],[503]) ).
thf(1306,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[502]) ).
thf(1307,plain,
( ( ! [T_a: $i,V_x: $i,V_xs: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[501]) ).
thf(1308,plain,
( ( ! [V_ys: $i,V_xs: $i,T_a: $i] :
( ( V_ys
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[500]) ).
thf(1309,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= V_ys )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[499]) ).
thf(1310,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( V_xs
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[498]) ).
thf(1311,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= V_xs )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[497]) ).
thf(1312,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent1 = V_agent1_H ) ) )
= $true ),
inference(copy,[status(thm)],[496]) ).
thf(1313,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent2 = V_agent2_H ) ) )
= $true ),
inference(copy,[status(thm)],[495]) ).
thf(1314,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[494]) ).
thf(1315,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_x ) ) )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(1316,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[492]) ).
thf(1317,plain,
( ( ! [T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(1318,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(1319,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(1320,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_ys
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(1321,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(1322,plain,
( ( ! [V_A: $i,V_x: $i,V_y: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ( V_y = V_x )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(1323,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(1324,plain,
( ( ! [V_ys: $i,T_a: $i] :
( V_ys
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(1325,plain,
( ( ! [T_a: $i,V_ys: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a )
= V_ys ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(1326,plain,
( ( ! [V_xs: $i,T_a: $i] :
( V_xs
= ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(1327,plain,
( ( ! [V_x: $i,T_a: $i] :
( V_x
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(1328,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Oappend @ V_xs @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(1329,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i,V_zs: $i] :
( ( ( c_List_Oappend @ V_xs @ V_ys @ T_a )
!= ( c_List_Oappend @ V_xs @ V_zs @ T_a ) )
| ( V_ys = V_zs ) ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(1330,plain,
( ( ! [V_ys: $i,V_xs: $i,T_a: $i,V_zs: $i] :
( ( ( c_List_Oappend @ V_ys @ V_xs @ T_a )
!= ( c_List_Oappend @ V_zs @ V_xs @ T_a ) )
| ( V_ys = V_zs ) ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(1331,plain,
( ( ! [V_x: $i,V_y: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_y @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(1332,plain,
( ( ! [V_x: $i,V_xa: $i,T_a: $i,V_zs: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ V_zs @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xa @ V_zs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(1333,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ V_ys @ T_a )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(1334,plain,
( ( ! [V_y: $i,V_A: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_A @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(1335,plain,
( ( ! [V_x: $i,V_xa: $i,V_zs: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xa @ V_zs @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ V_zs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(1336,plain,
( ( ! [V_x: $i,V_xs1: $i,V_zs: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Oappend @ V_xs1 @ V_zs @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ V_x @ V_xs1 @ T_a ) @ V_zs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(1337,plain,
( ( ! [V_x: $i,V_xa: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_xa @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(1338,plain,
( ( ! [V_a_H: $i,V_list_H: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(1339,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)],[469]) ).
thf(1340,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)],[468]) ).
thf(1341,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_xs @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(1342,plain,
( ( ! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(1343,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Opreorder @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(1344,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Oorder @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(1345,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_HOL_Oord @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_HOL_Oord @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(1346,plain,
( ( class_Orderings_Opreorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(1347,plain,
( ( class_Orderings_Olinorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(1348,plain,
( ( class_Orderings_Oorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(1349,plain,
( ( class_HOL_Oord @ tc_nat )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(1350,plain,
( ( class_Orderings_Opreorder @ tc_bool )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(1351,plain,
( ( class_Orderings_Oorder @ tc_bool )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(1352,plain,
( ( class_HOL_Oord @ tc_bool )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(1353,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(1354,plain,
( ( ! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( c_fequal @ V_X @ V_Y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(1355,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[904]) ).
thf(1356,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oappend @ SX0 @ SX3 @ SX2 ) )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1329]) ).
thf(1357,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( c_Event_Oevent_ONotes @ SX0 @ SX1 )
!= ( c_Event_Oevent_OGets @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1221]) ).
thf(1358,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Olist_ONil @ SX0 )
!= ( c_List_Oappend @ SX1 @ SX2 @ SX0 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1321]) ).
thf(1359,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Orev @ SX0 @ SX1 )
!= ( c_List_Orev @ SX2 @ SX1 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1214]) ).
thf(1360,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( SX1 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1304]) ).
thf(1361,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( c_Event_Oevent_OSays @ SX0 @ SX1 @ SX2 )
!= ( c_Event_Oevent_OGets @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1096]) ).
thf(1362,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Ofilter @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX0 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[947]) ).
thf(1363,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_Ofilter @ SX0 @ SX1 @ SX2 )
!= SX1 )
| ( hBOOL @ ( hAPP @ SX0 @ SX3 ) )
| ~ ( c_in @ SX3 @ ( c_List_Oset @ SX1 @ SX2 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1051]) ).
thf(1364,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_ONil @ SX2 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1318]) ).
thf(1365,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_List_Olist_ONil @ SX0 )
!= ( c_List_Orev @ SX1 @ SX0 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1079]) ).
thf(1366,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Ofilter @ SX3 @ SX4 @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[949]) ).
thf(1367,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( c_Event_Oevent_OGets @ SX0 @ SX1 )
!= ( c_Event_Oevent_ONotes @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1207]) ).
thf(1368,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( class_Orderings_Olinorder @ SX0 )
| ( ( c_List_Oset @ SX1 @ SX0 )
!= ( c_List_Oset @ SX2 @ SX0 ) )
| ~ ( c_List_Odistinct @ SX2 @ SX0 )
| ~ ( c_List_Olinorder__class_Osorted @ SX2 @ SX0 )
| ~ ( c_List_Odistinct @ SX1 @ SX0 )
| ~ ( c_List_Olinorder__class_Osorted @ SX1 @ SX0 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1060]) ).
thf(1369,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( c_Event_Oevent_ONotes @ SX0 @ SX1 )
!= ( c_Event_Oevent_OSays @ SX2 @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1099]) ).
thf(1370,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Message_Omsg_OCrypt @ SX0 @ SX1 )
!= ( c_Message_Omsg_OCrypt @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[975]) ).
thf(1371,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( c_Event_Oevent_OGets @ SX0 @ SX1 )
!= ( c_Event_Oevent_OSays @ SX2 @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1098]) ).
thf(1372,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_Public_OshrK @ SX0 )
!= ( c_Public_OshrK @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[906]) ).
thf(1373,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oappend @ SX3 @ SX4 @ SX2 ) )
| ( SX1
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) @ SX4 @ SX2 ) )
| ( SX3
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1281]) ).
thf(1374,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oappend @ SX0 @ ( c_List_Olist_OCons @ SX1 @ ( c_List_Olist_ONil @ SX2 ) @ SX2 ) @ SX2 )
!= ( c_List_Oappend @ SX3 @ ( c_List_Olist_OCons @ SX4 @ ( c_List_Olist_ONil @ SX2 ) @ SX2 ) @ SX2 ) )
| ( SX1 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1302]) ).
thf(1375,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( ( c_Event_Oevent_OSays @ SX0 @ SX1 @ SX2 )
!= ( c_Event_Oevent_OSays @ SX3 @ SX4 @ SX5 ) )
| ( SX2 = SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1314]) ).
thf(1376,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SX3 @ SX4 @ SX0 @ SX1 @ SX2 ) @ SX1 @ SX2 )
= SX4 )
| ( SX1
= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1270]) ).
thf(1377,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_Olist__update @ SX0 @ SX1 @ SX2 @ SX3 )
!= ( c_List_Olist_ONil @ SX3 ) )
| ( SX0
= ( c_List_Olist_ONil @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[964]) ).
thf(1378,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oappend @ SX3 @ SX4 @ SX2 ) )
| ( ( c_List_Olist_OCons @ SX0 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) @ SX2 )
= SX3 )
| ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
= SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1269]) ).
thf(1379,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( c_List_Oappend @ SX0 @ SX1 @ SX2 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1310]) ).
thf(1380,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_Ofilter @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_ONil @ SX2 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ SX3 ) )
| ~ ( c_in @ SX3 @ ( c_List_Oset @ SX1 @ SX2 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1126]) ).
thf(1381,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oreplicate @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oreplicate @ SX3 @ SX4 @ SX2 ) )
| ( SX0 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1183]) ).
thf(1382,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oappend @ SX3 @ SX4 @ SX2 ) )
| ( ( c_List_Olist_OCons @ SX0 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) @ SX2 )
= SX3 )
| ( SX3
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1286]) ).
thf(1383,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oappend @ SX3 @ SX4 @ SX2 ) )
| ( SX1
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SX0 @ SX1 @ SX3 @ SX4 @ SX2 ) @ SX4 @ SX2 ) )
| ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
= SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1263]) ).
thf(1384,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( c_Event_Oevent_OSays @ SX0 @ SX1 @ SX2 )
!= ( c_Event_Oevent_ONotes @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1097]) ).
thf(1385,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ ( c_List_Olist_ONil @ SX1 ) @ SX1 )
!= ( c_List_Orev @ SX2 @ SX1 ) )
| ( SX2
= ( c_List_Olist_OCons @ SX0 @ ( c_List_Olist_ONil @ SX1 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1257]) ).
thf(1386,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Event_Oevent_ONotes @ SX0 @ SX1 )
!= ( c_Event_Oevent_ONotes @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1209]) ).
thf(1387,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Event_Oevent_OGets @ SX0 @ SX1 )
!= ( c_Event_Oevent_OGets @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1198]) ).
thf(1388,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( ( c_Event_Oevent_OSays @ SX0 @ SX1 @ SX2 )
!= ( c_Event_Oevent_OSays @ SX3 @ SX4 @ SX5 ) )
| ( SX1 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1313]) ).
thf(1389,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_List_Orotate1 @ SX0 @ SX1 )
!= ( c_List_Olist_ONil @ SX1 ) )
| ( SX0
= ( c_List_Olist_ONil @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1082]) ).
thf(1390,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_List_Orev @ SX0 @ SX1 )
!= ( c_List_Olist_ONil @ SX1 ) )
| ( SX0
= ( c_List_Olist_ONil @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1085]) ).
thf(1391,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( ( c_Event_Oevent_OSays @ SX0 @ SX1 @ SX2 )
!= ( c_Event_Oevent_OSays @ SX3 @ SX4 @ SX5 ) )
| ( SX0 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1312]) ).
thf(1392,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_OdropWhile @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[946]) ).
thf(1393,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oappend @ SX3 @ SX1 @ SX2 ) )
| ( SX0 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1330]) ).
thf(1394,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( SX0
!= ( c_List_Olist_OCons @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1340]) ).
thf(1395,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_ONil @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1338]) ).
thf(1396,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= SX1 )
| ( SX0
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1309]) ).
thf(1397,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_OtakeWhile @ SX0 @ SX1 @ SX2 )
!= SX1 )
| ( hBOOL @ ( hAPP @ SX0 @ SX3 ) )
| ~ ( c_in @ SX3 @ ( c_List_Oset @ SX1 @ SX2 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1238]) ).
thf(1398,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_Orev @ SX0 @ SX1 )
!= ( c_List_Olist_OCons @ SX2 @ SX3 @ SX1 ) )
| ( SX0
= ( c_List_Oappend @ ( c_List_Orev @ SX3 @ SX1 ) @ ( c_List_Olist_OCons @ SX2 @ ( c_List_Olist_ONil @ SX1 ) @ SX1 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1288]) ).
thf(1399,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_List_Olist_ONil @ SX0 )
!= ( c_List_Olist_OCons @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1317]) ).
thf(1400,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_List_Oremdups @ SX0 @ SX1 )
!= SX0 )
| ( c_List_Odistinct @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[935]) ).
thf(1401,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_Message_Oanalz @ SX0 )
!= ( c_Message_Oanalz @ SX1 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SX2 @ SX0 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SX2 @ SX1 @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1095]) ).
thf(1402,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Event_Oevent_ONotes @ SX0 @ SX1 )
!= ( c_Event_Oevent_ONotes @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1208]) ).
thf(1403,plain,
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ v_A @ v_B @ v_X ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
!= ( c_Set_Oinsert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[905]) ).
thf(1404,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( c_List_Oappend @ SX1 @ SX0 @ SX2 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1308]) ).
thf(1405,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Set_Oinsert @ SX0 @ SX1 @ SX2 )
!= ( c_Set_Oinsert @ SX0 @ SX3 @ SX2 ) )
| ( c_in @ SX0 @ SX3 @ SX2 )
| ( c_in @ SX0 @ SX1 @ SX2 )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1071]) ).
thf(1406,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( SX0
!= ( c_List_Oappend @ ( c_List_OtakeWhile @ SX1 @ SX0 @ SX2 ) @ ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) @ SX2 ) )
| ( ( c_List_OdropWhile @ SX1 @ SX0 @ SX2 )
= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1114]) ).
thf(1407,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_ONil @ SX2 ) )
| ( SX0
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1319]) ).
thf(1408,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_List_Oremdups @ SX0 @ SX1 )
!= ( c_List_Olist_ONil @ SX1 ) )
| ( SX0
= ( c_List_Olist_ONil @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[953]) ).
thf(1409,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oappend @ SX0 @ ( c_List_Olist_OCons @ SX1 @ ( c_List_Olist_ONil @ SX2 ) @ SX2 ) @ SX2 )
!= ( c_List_Oappend @ SX3 @ ( c_List_Olist_OCons @ SX4 @ ( c_List_Olist_ONil @ SX2 ) @ SX2 ) @ SX2 ) )
| ( SX0 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1303]) ).
thf(1410,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( SX0 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1305]) ).
thf(1411,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Olist_ONil @ SX0 )
!= ( c_List_Oappend @ SX1 @ SX2 @ SX0 ) )
| ( SX2
= ( c_List_Olist_ONil @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1320]) ).
thf(1412,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Message_Omsg_OCrypt @ SX0 @ SX1 )
!= ( c_Message_Omsg_OCrypt @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[974]) ).
thf(1413,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SX3 @ SX4 @ SX0 @ SX1 @ SX2 ) @ SX1 @ SX2 )
= SX4 )
| ( SX0
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1285]) ).
thf(1414,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_OdropWhile @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( SX1
= ( c_List_Oappend @ ( c_List_OtakeWhile @ SX0 @ SX1 @ SX2 ) @ ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1115]) ).
thf(1415,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Orev @ SX0 @ SX1 )
!= ( c_List_Olist_OCons @ SX2 @ ( c_List_Olist_ONil @ SX1 ) @ SX1 ) )
| ( SX0
= ( c_List_Olist_OCons @ SX2 @ ( c_List_Olist_ONil @ SX1 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1255]) ).
thf(1416,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_ONil @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1337]) ).
thf(1417,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_OdropWhile @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_ONil @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX0 @ SX3 ) )
| ~ ( c_in @ SX3 @ ( c_List_Oset @ SX1 @ SX2 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1127]) ).
thf(1418,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_List_Olist_ONil @ SX0 )
!= ( c_List_Oremdups @ SX1 @ SX0 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[958]) ).
thf(1419,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( SX0
= ( c_List_Olist_OCons @ SX3 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SX3 @ SX4 @ SX0 @ SX1 @ SX2 ) @ SX2 ) )
| ( SX1
= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1264]) ).
thf(1420,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= SX0 )
| ( SX1
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1311]) ).
thf(1421,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[1339]) ).
thf(1422,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( SX0
= ( c_List_Olist_OCons @ SX3 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SX3 @ SX4 @ SX0 @ SX1 @ SX2 ) @ SX2 ) )
| ( SX0
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1282]) ).
thf(1423,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Event_Oevent_OGets @ SX0 @ SX1 )
!= ( c_Event_Oevent_OGets @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1197]) ).
thf(1424,plain,
! [SV1: $i] :
( ( ! [SY1415: $i,SY1416: $i] :
( ( c_in @ SV1 @ ( c_Event_Oused @ SY1415 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV1 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY1416 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(1425,plain,
! [SV2: $i] :
( ( ! [SY1417: $i] :
( ( c_lessequals @ SV2 @ ( c_Message_Oparts @ SY1417 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ SV2 ) @ ( c_Message_Oparts @ SY1417 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(1426,plain,
! [SV3: $i] :
( ( ! [SY1418: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ SV3 ) @ ( c_Message_Oparts @ SY1418 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV3 @ ( c_Message_Oparts @ SY1418 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(1427,plain,
! [SV4: $i] :
( ( ! [SY1419: $i,SY1420: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV4 @ SY1419 ) @ SY1420 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV4 @ SY1419 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1419 @ SY1420 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(1428,plain,
! [SV5: $i] :
( ( ! [SY1421: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ SV5 ) @ ( c_Message_Oparts @ SY1421 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV5 @ SY1421 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(1429,plain,
! [SV6: $i] :
( ( ! [SY1422: $i] :
( ( c_in @ SV6 @ ( c_Message_Oparts @ SY1422 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV6 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SY1422 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(1430,plain,
! [SV7: $i] :
( ( ! [SY1423: $i,SY1424: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV7 @ SY1423 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY1424 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(1431,plain,
! [SV8: $i] :
( ( ! [SY1425: $i,SY1426: $i] :
( ( c_in @ SV8 @ ( c_Message_Oparts @ SY1425 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SY1426 @ SV8 ) @ ( c_Message_Oparts @ SY1425 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1432,plain,
! [SV9: $i] :
( ( c_lessequals @ SV9 @ ( c_Message_Oparts @ SV9 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(1433,plain,
! [SV10: $i] :
( ( ( c_Message_Oanalz @ ( c_Message_Oparts @ SV10 ) )
= ( c_Message_Oparts @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(1434,plain,
! [SV11: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Oparts @ SV11 ) )
= ( c_Message_Oparts @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(1435,plain,
! [SV12: $i] :
( ( ! [SY1427: $i] :
( ( c_in @ SV12 @ ( c_Message_Oparts @ SY1427 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV12 @ SY1427 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1436,plain,
! [SV13: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Oanalz @ SV13 ) )
= ( c_Message_Oparts @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1437,plain,
! [SV14: $i] :
( ( ! [SY1428: $i] :
( ( c_in @ SV14 @ ( c_Message_Oparts @ SY1428 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV14 @ ( c_Message_Oanalz @ SY1428 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1438,plain,
! [SV15: $i] :
( ( ! [SY1429: $i] :
( ( c_in @ SV15 @ ( c_Message_Oparts @ SY1429 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV15 @ ( c_Message_Oanalz @ SY1429 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(1439,plain,
! [SV16: $i] :
( ( ! [SY1430: $i] :
( ~ ( c_in @ SV16 @ ( c_Message_Oanalz @ SY1430 ) @ tc_Message_Omsg )
| ( c_in @ SV16 @ ( c_Message_Oparts @ SY1430 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(1440,plain,
! [SV17: $i] :
( ( ! [SY1431: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV17 @ SY1431 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SY1431 ) )
| ~ ( c_in @ SV17 @ ( c_Message_Oparts @ SY1431 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1441,plain,
! [SV18: $i] :
( ( ! [SY1432: $i,SY1433: $i] :
( ( c_in @ SV18 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1432 @ SY1433 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV18 @ ( c_Message_Oparts @ SY1433 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(1442,plain,
! [SV19: $i] :
( ( ! [SY1434: $i,SY1435: $i] :
( ( c_in @ SV19 @ ( c_Message_Oparts @ SY1434 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ SY1435 @ ( c_Message_Oparts @ SY1434 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV19 @ ( c_Message_Oparts @ SY1435 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1443,plain,
! [SV20: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ SV20 ) @ ( c_Message_Oparts @ SV20 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(1444,plain,
! [SV21: $i] :
( ( ! [SY1436: $i] : ( c_lessequals @ ( c_Set_Oinsert @ SV21 @ ( c_Message_Oparts @ SY1436 ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV21 @ SY1436 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1445,plain,
! [SV22: $i] :
( ( ! [SY1437: $i] :
( ( c_in @ SV22 @ ( c_Event_Oused @ SY1437 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV22 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1437 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(1446,plain,
! [SV23: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV23 ) ) @ ( c_Event_Oused @ SV23 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1447,plain,
! [SV24: $i] :
( ( ! [SY1438: $i] :
( ( c_in @ SV24 @ ( c_Message_Osynth @ SY1438 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV24 @ SY1438 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(1448,plain,
! [SV25: $i] :
( ( ! [SY1439: $i] :
( ( c_in @ SV25 @ ( c_Message_Osynth @ SY1439 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV25 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SY1439 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1449,plain,
! [SV26: $i] :
( ( ! [SY1440: $i] :
( ( c_List_Odistinct @ ( c_List_Orev @ SV26 @ SY1440 ) @ SY1440 )
| ~ ( c_List_Odistinct @ SV26 @ SY1440 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(1450,plain,
! [SV27: $i] :
( ( ! [SY1441: $i] :
( ( c_List_Odistinct @ SV27 @ SY1441 )
| ~ ( c_List_Odistinct @ ( c_List_Orev @ SV27 @ SY1441 ) @ SY1441 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1451,plain,
! [SV28: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Osynth @ SV28 ) )
= ( c_Message_Osynth @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1452,plain,
! [SV29: $i] :
( ( ! [SY1442: $i] :
( ( ( c_List_Oremdups @ SV29 @ SY1442 )
= SV29 )
| ~ ( c_List_Odistinct @ SV29 @ SY1442 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1453,plain,
! [SV30: $i] :
( ( ! [SY1443: $i,SY1444: $i] :
( ( c_in @ SV30 @ ( c_Message_Osynth @ SY1443 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SY1444 @ SV30 ) @ SY1443 @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SY1444 @ SV30 ) @ ( c_Message_Osynth @ SY1443 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1454,plain,
! [SV31: $i] :
( ( ! [SY1445: $i,SY1446: $i,SY1447: $i] :
( ( ( c_List_OtakeWhile @ SV31 @ SY1445 @ SY1446 )
= ( c_List_OtakeWhile @ SY1447 @ SY1445 @ SY1446 ) )
| ~ ( hBOOL @ ( hAPP @ SY1447 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SY1447 @ SY1445 @ SY1446 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV31 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SY1447 @ SY1445 @ SY1446 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(1455,plain,
! [SV32: $i] :
( ( ! [SY1448: $i,SY1449: $i,SY1450: $i] :
( ( ( c_List_OtakeWhile @ SV32 @ SY1448 @ SY1449 )
= ( c_List_OtakeWhile @ SY1450 @ SY1448 @ SY1449 ) )
| ( hBOOL @ ( hAPP @ SY1450 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SY1450 @ SY1448 @ SY1449 ) ) )
| ( hBOOL @ ( hAPP @ SV32 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SY1450 @ SY1448 @ SY1449 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1456,plain,
! [SV33: $i] :
( ( ! [SY1451: $i,SY1452: $i,SY1453: $i,SY1454: $i] :
( ~ ( class_Orderings_Olinorder @ SV33 )
| ( c_List_Odistinct @ SY1451 @ SY1452 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SY1453 @ SY1454 @ SY1451 @ SY1452 @ SV33 ) @ SY1452 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1457,plain,
! [SV34: $i] :
( ( ! [SY1455: $i,SY1456: $i] :
( ( c_List_Odistinct @ ( c_List_OtakeWhile @ SV34 @ SY1455 @ SY1456 ) @ SY1456 )
| ~ ( c_List_Odistinct @ SY1455 @ SY1456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1458,plain,
! [SV35: $i] :
( ( ! [SY1457: $i,SY1458: $i,SY1459: $i] :
( ( ( c_List_Ofilter @ SV35 @ ( c_List_Olist_OCons @ SY1457 @ SY1458 @ SY1459 ) @ SY1459 )
= ( c_List_Ofilter @ SV35 @ SY1458 @ SY1459 ) )
| ( hBOOL @ ( hAPP @ SV35 @ SY1457 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1459,plain,
! [SV36: $i] :
( ( ! [SY1460: $i,SY1461: $i,SY1462: $i] :
( ( ( c_List_OdropWhile @ SV36 @ ( c_List_Olist_OCons @ SY1460 @ SY1461 @ SY1462 ) @ SY1462 )
= ( c_List_Olist_OCons @ SY1460 @ SY1461 @ SY1462 ) )
| ( hBOOL @ ( hAPP @ SV36 @ SY1460 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1460,plain,
! [SV37: $i] :
( ( ! [SY1463: $i,SY1464: $i,SY1465: $i] :
( ( ( c_List_OdropWhile @ SV37 @ ( c_List_Olist_OCons @ SY1463 @ SY1464 @ SY1465 ) @ SY1465 )
= ( c_List_OdropWhile @ SV37 @ SY1464 @ SY1465 ) )
| ~ ( hBOOL @ ( hAPP @ SV37 @ SY1463 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1461,plain,
! [SV38: $i] :
( ( ! [SY1466: $i,SY1467: $i,SY1468: $i] :
( ( ( c_List_Oremove1 @ SV38 @ ( c_List_Olist_OCons @ SY1466 @ SY1467 @ SY1468 ) @ SY1468 )
= ( c_List_Olist_OCons @ SY1466 @ ( c_List_Oremove1 @ SV38 @ SY1467 @ SY1468 ) @ SY1468 ) )
| ( SV38 = SY1466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1462,plain,
! [SV39: $i] :
( ( ! [SY1469: $i,SY1470: $i,SY1471: $i] :
( ( ( c_List_Ofilter @ SV39 @ ( c_List_Olist_OCons @ SY1469 @ SY1470 @ SY1471 ) @ SY1471 )
= ( c_List_Olist_OCons @ SY1469 @ ( c_List_Ofilter @ SV39 @ SY1470 @ SY1471 ) @ SY1471 ) )
| ~ ( hBOOL @ ( hAPP @ SV39 @ SY1469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1463,plain,
! [SV40: $i] :
( ( ! [SY1472: $i,SY1473: $i] :
( ( c_List_Oremove1 @ SV40 @ ( c_List_Olist_OCons @ SV40 @ SY1472 @ SY1473 ) @ SY1473 )
= SY1472 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1464,plain,
! [SV41: $i] :
( ( ! [SY1474: $i,SY1475: $i] :
( ( c_List_Odistinct @ SV41 @ SY1474 )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SY1475 @ SV41 @ SY1474 ) @ SY1474 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1465,plain,
! [SV42: $i] :
( ( ( c_List_Olist_ONil @ SV42 )
= ( c_List_Oremdups @ ( c_List_Olist_ONil @ SV42 ) @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1466,plain,
! [SV43: $i] :
( ( c_List_Odistinct @ ( c_List_Olist_ONil @ SV43 ) @ SV43 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1467,plain,
! [SV44: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_ONil @ SV44 ) @ SV44 )
= ( c_List_Olist_ONil @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1468,plain,
! [SV45: $i] :
( ( ! [SY1476: $i] :
( ( c_List_Olist__inter @ ( c_List_Olist_ONil @ SV45 ) @ SY1476 @ SV45 )
= ( c_List_Olist_ONil @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1469,plain,
! [SV46: $i] :
( ( ! [SY1477: $i] :
( ( c_List_OdropWhile @ SV46 @ ( c_List_Olist_ONil @ SY1477 ) @ SY1477 )
= ( c_List_Olist_ONil @ SY1477 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1470,plain,
! [SV47: $i] :
( ( ! [SY1478: $i] :
( ( c_List_Ofilter @ SV47 @ ( c_List_Olist_ONil @ SY1478 ) @ SY1478 )
= ( c_List_Olist_ONil @ SY1478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1471,plain,
! [SV48: $i] :
( ( ! [SY1479: $i,SY1480: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV48 ) @ SY1479 @ SY1480 @ SV48 )
= ( c_List_Olist_ONil @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1472,plain,
! [SV49: $i] :
( ( ! [SY1481: $i,SY1482: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV49 ) @ SY1481 @ SY1482 @ SV49 )
= ( c_List_Olist_ONil @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1473,plain,
! [SV50: $i] :
( ( ! [SY1483: $i,SY1484: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV50 ) @ SY1483 @ SY1484 @ SV50 )
= ( c_List_Olist_ONil @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1474,plain,
! [SV51: $i] :
( ( ! [SY1485: $i] :
( ( c_List_Oremove1 @ SV51 @ ( c_List_Olist_ONil @ SY1485 ) @ SY1485 )
= ( c_List_Olist_ONil @ SY1485 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1475,plain,
! [SV52: $i] :
( ( ! [SY1486: $i,SY1487: $i] :
( ( c_List_Odistinct @ SV52 @ SY1486 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SY1487 @ SV52 @ SY1486 ) @ SY1486 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(1476,plain,
! [SV53: $i] :
( ( ! [SY1488: $i,SY1489: $i] :
( ( c_List_Odistinct @ SV53 @ SY1488 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV53 @ SY1489 @ SY1488 ) @ SY1488 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[966]) ).
thf(1477,plain,
! [SV54: $i] :
( ( ! [SY1490: $i,SY1491: $i,SY1492: $i] :
( ( c_List_Ofilter @ SV54 @ ( c_List_Oappend @ SY1490 @ SY1491 @ SY1492 ) @ SY1492 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV54 @ SY1490 @ SY1492 ) @ ( c_List_Ofilter @ SV54 @ SY1491 @ SY1492 ) @ SY1492 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1478,plain,
! [SV55: $i] :
( ( ! [SY1493: $i,SY1494: $i] :
( ( c_in @ SV55 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1493 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SY1494 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY1494 ) @ SV55 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1493 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1479,plain,
! [SV56: $i] :
( ( ! [SY1495: $i,SY1496: $i,SY1497: $i] :
( ( c_in @ SV56 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1495 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SY1496 @ SY1497 @ SV56 ) @ ( c_List_Oset @ SY1495 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1480,plain,
! [SV57: $i] :
( ( ! [SY1498: $i,SY1499: $i] :
( ( c_List_Odistinct @ ( c_List_Ofilter @ SV57 @ SY1498 @ SY1499 ) @ SY1499 )
| ~ ( c_List_Odistinct @ SY1498 @ SY1499 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1481,plain,
! [SV58: $i] :
( ( ! [SY1500: $i] :
( ( c_List_Odistinct @ SV58 @ SY1500 )
| ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ SV58 @ SY1500 ) @ SY1500 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1482,plain,
! [SV59: $i] :
( ( ! [SY1501: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV59 @ SY1501 ) @ SY1501 )
| ~ ( c_List_Odistinct @ SV59 @ SY1501 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1483,plain,
! [SV60: $i] :
( ( ! [SY1502: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV60 @ SY1502 ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1484,plain,
! [SV61: $i] :
( ( ! [SY1503: $i] :
( ( c_lessequals @ SV61 @ ( c_Message_Osynth @ SY1503 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ SV61 ) @ ( c_Message_Osynth @ SY1503 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[976]) ).
thf(1485,plain,
! [SV62: $i] :
( ( ! [SY1504: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ SV62 ) @ ( c_Message_Osynth @ SY1504 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV62 @ ( c_Message_Osynth @ SY1504 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1486,plain,
! [SV63: $i] :
( ( ! [SY1505: $i,SY1506: $i] :
( ~ ( class_Orderings_Opreorder @ SV63 )
| ~ ( c_lessequals @ SY1505 @ SY1506 @ SV63 )
| ~ ( c_HOL_Oord__class_Oless @ SY1506 @ SY1505 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(1487,plain,
! [SV64: $i] :
( ( ! [SY1507: $i,SY1508: $i,SY1509: $i] :
( ~ ( class_HOL_Oord @ SV64 )
| ~ ( c_lessequals @ SY1507 @ SY1508 @ ( tc_fun @ SY1509 @ SV64 ) )
| ~ ( c_HOL_Oord__class_Oless @ SY1508 @ SY1507 @ ( tc_fun @ SY1509 @ SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[979]) ).
thf(1488,plain,
! [SV65: $i] :
( ( ! [SY1510: $i,SY1511: $i] :
( ~ ( class_Orderings_Olinorder @ SV65 )
| ( c_HOL_Oord__class_Oless @ SY1510 @ SY1511 @ SV65 )
| ( c_lessequals @ SY1511 @ SY1510 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1489,plain,
! [SV66: $i] :
( ( ! [SY1512: $i,SY1513: $i] :
( ~ ( class_Orderings_Olinorder @ SV66 )
| ~ ( c_lessequals @ SY1512 @ SY1513 @ SV66 )
| ~ ( c_HOL_Oord__class_Oless @ SY1513 @ SY1512 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1490,plain,
! [SV67: $i] :
( ( ! [SY1514: $i,SY1515: $i] :
( ~ ( class_Orderings_Olinorder @ SV67 )
| ( c_lessequals @ SY1514 @ SY1515 @ SV67 )
| ( c_HOL_Oord__class_Oless @ SY1515 @ SY1514 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[982]) ).
thf(1491,plain,
! [SV68: $i] :
( ( ! [SY1516: $i,SY1517: $i] :
( ~ ( class_Orderings_Olinorder @ SV68 )
| ~ ( c_HOL_Oord__class_Oless @ SY1516 @ SY1517 @ SV68 )
| ~ ( c_lessequals @ SY1517 @ SY1516 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1492,plain,
! [SV69: $i] :
( ( ! [SY1518: $i] :
( ~ ( class_Orderings_Olinorder @ SV69 )
| ( c_HOL_Oord__class_Oless @ SY1518 @ SY1518 @ SV69 )
| ( c_lessequals @ SY1518 @ SY1518 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1493,plain,
! [SV70: $i] :
( ( ! [SY1519: $i] :
( ~ ( class_Orderings_Olinorder @ SV70 )
| ~ ( c_lessequals @ SY1519 @ SY1519 @ SV70 )
| ~ ( c_HOL_Oord__class_Oless @ SY1519 @ SY1519 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1494,plain,
! [SV71: $i] :
( ( ! [SY1520: $i,SY1521: $i] :
( ~ ( class_Orderings_Olinorder @ SV71 )
| ( c_HOL_Oord__class_Oless @ SY1520 @ SY1521 @ SV71 )
| ( c_lessequals @ SY1521 @ SY1520 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1495,plain,
! [SV72: $i] :
( ( ! [SY1522: $i,SY1523: $i] :
( ( c_List_Oremdups @ ( c_List_Ofilter @ SV72 @ SY1522 @ SY1523 ) @ SY1523 )
= ( c_List_Ofilter @ SV72 @ ( c_List_Oremdups @ SY1522 @ SY1523 ) @ SY1523 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[987]) ).
thf(1496,plain,
! [SV73: $i] :
( ( ! [SY1524: $i,SY1525: $i,SY1526: $i] :
( ~ ( class_Orderings_Oorder @ SV73 )
| ( c_HOL_Oord__class_Oless @ SY1524 @ SY1525 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SY1524 @ SY1526 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SY1526 @ SY1525 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1497,plain,
! [SV74: $i] :
( ( ! [SY1527: $i,SY1528: $i,SY1529: $i] :
( ( c_in @ SV74 @ SY1527 @ SY1528 )
| ~ ( c_in @ SV74 @ SY1529 @ SY1528 )
| ~ ( c_HOL_Oord__class_Oless @ SY1529 @ SY1527 @ ( tc_fun @ SY1528 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[989]) ).
thf(1498,plain,
! [SV75: $i] :
( ( ! [SY1530: $i,SY1531: $i,SY1532: $i] :
( ( c_HOL_Oord__class_Oless @ SV75 @ SY1530 @ ( tc_fun @ SY1531 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SY1532 @ SY1530 @ ( tc_fun @ SY1531 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV75 @ SY1532 @ ( tc_fun @ SY1531 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[990]) ).
thf(1499,plain,
! [SV76: $i] :
( ( ! [SY1533: $i,SY1534: $i,SY1535: $i] :
( ~ ( class_Orderings_Opreorder @ SV76 )
| ( c_HOL_Oord__class_Oless @ SY1533 @ SY1534 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SY1535 @ SY1534 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SY1533 @ SY1535 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1500,plain,
! [SV77: $i] :
( ( ! [SY1536: $i,SY1537: $i,SY1538: $i] :
( ( c_in @ SV77 @ ( c_Event_Oused @ SY1536 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SY1537 @ SY1538 @ SV77 ) @ ( c_List_Oset @ SY1536 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1501,plain,
! [SV78: $i] :
( ( ! [SY1539: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ SV78 ) @ ( c_Message_Osynth @ SY1539 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV78 @ SY1539 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1502,plain,
! [SV79: $i] :
( ( ! [SY1540: $i,SY1541: $i] :
( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV79 @ SY1540 @ SY1541 ) @ SY1541 )
| ~ ( c_List_Odistinct @ SY1540 @ SY1541 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1503,plain,
! [SV80: $i] :
( ( ! [SY1542: $i,SY1543: $i,SY1544: $i] :
( ( ( c_List_Ofilter @ SV80 @ ( c_List_Oreplicate @ SY1542 @ SY1543 @ SY1544 ) @ SY1544 )
= ( c_List_Oreplicate @ SY1542 @ SY1543 @ SY1544 ) )
| ~ ( hBOOL @ ( hAPP @ SV80 @ SY1543 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1504,plain,
! [SV81: $i] :
( ( ! [SY1545: $i,SY1546: $i] :
( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV81 @ SY1545 @ SY1546 ) @ SY1546 )
| ~ ( c_List_Odistinct @ SY1545 @ SY1546 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1505,plain,
! [SV82: $i] :
( ( ! [SY1547: $i,SY1548: $i] :
( ( c_in @ SV82 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1547 ) @ tc_Message_Omsg )
| ~ ( c_in @ SY1548 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ SY1548 @ SV82 ) @ ( c_List_Oset @ SY1547 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1506,plain,
! [SV83: $i] :
( ( ! [SY1549: $i,SY1550: $i] :
( ~ ( class_Orderings_Opreorder @ SV83 )
| ( c_HOL_Oord__class_Oless @ SY1549 @ SY1550 @ SV83 )
| ( c_lessequals @ SY1550 @ SY1549 @ SV83 )
| ~ ( c_lessequals @ SY1549 @ SY1550 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1507,plain,
! [SV84: $i] :
( ( ! [SY1551: $i] :
~ ( c_HOL_Oord__class_Oless @ SV84 @ SV84 @ ( tc_fun @ SY1551 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1508,plain,
! [SV85: $i] :
( ( ! [SY1552: $i,SY1553: $i,SY1554: $i] :
( ~ ( class_HOL_Oord @ SV85 )
| ( c_HOL_Oord__class_Oless @ SY1552 @ SY1553 @ ( tc_fun @ SY1554 @ SV85 ) )
| ( c_lessequals @ SY1553 @ SY1552 @ ( tc_fun @ SY1554 @ SV85 ) )
| ~ ( c_lessequals @ SY1552 @ SY1553 @ ( tc_fun @ SY1554 @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1509,plain,
! [SV86: $i] :
( ( ! [SY1555: $i] :
( ~ ( class_Orderings_Oorder @ SV86 )
| ~ ( c_HOL_Oord__class_Oless @ SY1555 @ SY1555 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1001]) ).
thf(1510,plain,
! [SV87: $i] :
( ( ! [SY1556: $i] :
( ~ ( class_Orderings_Olinorder @ SV87 )
| ~ ( c_HOL_Oord__class_Oless @ SY1556 @ SY1556 @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1002]) ).
thf(1511,plain,
! [SV88: $i] :
( ( ! [SY1557: $i] :
( ~ ( class_Orderings_Opreorder @ SV88 )
| ~ ( c_HOL_Oord__class_Oless @ SY1557 @ SY1557 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1512,plain,
! [SV89: $i] :
( ( ! [SY1558: $i,SY1559: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ SV89 )
| ( c_HOL_Oord__class_Oless @ SY1558 @ SY1559 @ SV89 )
| ( c_HOL_Oord__class_Oless @ SY1559 @ SY1558 @ SV89 )
| ( SY1559 = SY1558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1513,plain,
! [SV90: $i] :
( ( ! [SY1560: $i,SY1561: $i] :
( ~ ( class_Orderings_Olinorder @ SV90 )
| ( SY1560 = SY1561 )
| ( c_HOL_Oord__class_Oless @ SY1561 @ SY1560 @ SV90 )
| ( c_HOL_Oord__class_Oless @ SY1560 @ SY1561 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1514,plain,
! [SV91: $i] :
( ( ! [SY1562: $i,SY1563: $i] :
( ~ ( class_Orderings_Olinorder @ SV91 )
| ( c_HOL_Oord__class_Oless @ SY1562 @ SY1563 @ SV91 )
| ( c_HOL_Oord__class_Oless @ SY1563 @ SY1562 @ SV91 )
| ( SY1563 = SY1562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1515,plain,
! [SV92: $i] :
( ( ! [SY1564: $i,SY1565: $i] :
( ~ ( class_Orderings_Olinorder @ SV92 )
| ( c_HOL_Oord__class_Oless @ SY1564 @ SY1565 @ SV92 )
| ( SY1565 = SY1564 )
| ( c_HOL_Oord__class_Oless @ SY1565 @ SY1564 @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1516,plain,
! [SV93: $i] :
( ( ! [SY1566: $i,SY1567: $i] :
( ~ ( class_Orderings_Olinorder @ SV93 )
| ( SY1566 = SY1567 )
| ( c_HOL_Oord__class_Oless @ SY1566 @ SY1567 @ SV93 )
| ( c_HOL_Oord__class_Oless @ SY1567 @ SY1566 @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1008]) ).
thf(1517,plain,
! [SV94: $i] :
( ( ! [SY1568: $i,SY1569: $i] :
( ( c_lessequals @ SV94 @ SY1568 @ ( tc_fun @ SY1569 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV94 @ SY1568 @ ( tc_fun @ SY1569 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1009]) ).
thf(1518,plain,
! [SV95: $i] :
( ( ! [SY1570: $i,SY1571: $i,SY1572: $i] :
( ~ ( class_HOL_Oord @ SV95 )
| ( c_lessequals @ SY1570 @ SY1571 @ ( tc_fun @ SY1572 @ SV95 ) )
| ~ ( c_HOL_Oord__class_Oless @ SY1570 @ SY1571 @ ( tc_fun @ SY1572 @ SV95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1519,plain,
! [SV96: $i] :
( ( ! [SY1573: $i,SY1574: $i] :
( ~ ( class_Orderings_Oorder @ SV96 )
| ( c_lessequals @ SY1573 @ SY1574 @ SV96 )
| ~ ( c_HOL_Oord__class_Oless @ SY1573 @ SY1574 @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1520,plain,
! [SV97: $i] :
( ( ! [SY1575: $i,SY1576: $i] :
( ~ ( class_Orderings_Opreorder @ SV97 )
| ( c_lessequals @ SY1575 @ SY1576 @ SV97 )
| ~ ( c_HOL_Oord__class_Oless @ SY1575 @ SY1576 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1012]) ).
thf(1521,plain,
! [SV98: $i] :
( ( ! [SY1577: $i,SY1578: $i] :
( ( c_in @ SV98 @ ( c_Event_Oused @ SY1577 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ SY1578 @ SV98 ) @ ( c_List_Oset @ SY1577 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1013]) ).
thf(1522,plain,
! [SV99: $i] :
( ( ! [SY1579: $i,SY1580: $i,SY1581: $i] :
( ( ( c_List_Oremove1 @ SV99 @ ( c_List_Ofilter @ SY1579 @ SY1580 @ SY1581 ) @ SY1581 )
= ( c_List_Ofilter @ SY1579 @ SY1580 @ SY1581 ) )
| ( hBOOL @ ( hAPP @ SY1579 @ SV99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1523,plain,
! [SV100: $i] :
( ( ! [SY1582: $i,SY1583: $i] :
( ( ( c_List_OtakeWhile @ SV100 @ SY1582 @ SY1583 )
= SY1582 )
| ~ ( hBOOL @ ( hAPP @ SV100 @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ SV100 @ SY1582 @ SY1583 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1524,plain,
! [SV101: $i] :
( ( ! [SY1584: $i] : ( c_List_Odistinct @ ( c_List_Oremdups @ SV101 @ SY1584 ) @ SY1584 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1525,plain,
! [SV102: $i] :
( ( c_lessequals @ SV102 @ ( c_Message_Osynth @ SV102 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1526,plain,
! [SV103: $i] :
( ( ! [SY1585: $i,SY1586: $i,SY1587: $i] :
( ~ ( class_Orderings_Oorder @ SV103 )
| ( c_HOL_Oord__class_Oless @ SY1585 @ SY1586 @ SV103 )
| ~ ( c_lessequals @ SY1585 @ SY1587 @ SV103 )
| ~ ( c_HOL_Oord__class_Oless @ SY1587 @ SY1586 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1527,plain,
! [SV104: $i] :
( ( ! [SY1588: $i,SY1589: $i,SY1590: $i] :
( ~ ( class_Orderings_Oorder @ SV104 )
| ( c_HOL_Oord__class_Oless @ SY1588 @ SY1589 @ SV104 )
| ~ ( c_HOL_Oord__class_Oless @ SY1588 @ SY1590 @ SV104 )
| ~ ( c_lessequals @ SY1590 @ SY1589 @ SV104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1528,plain,
! [SV105: $i] :
( ( ! [SY1591: $i,SY1592: $i,SY1593: $i] :
( ( c_HOL_Oord__class_Oless @ SV105 @ SY1591 @ ( tc_fun @ SY1592 @ tc_bool ) )
| ~ ( c_lessequals @ SY1593 @ SY1591 @ ( tc_fun @ SY1592 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV105 @ SY1593 @ ( tc_fun @ SY1592 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1529,plain,
! [SV106: $i] :
( ( ! [SY1594: $i,SY1595: $i,SY1596: $i] :
( ( c_HOL_Oord__class_Oless @ SV106 @ SY1594 @ ( tc_fun @ SY1595 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SY1596 @ SY1594 @ ( tc_fun @ SY1595 @ tc_bool ) )
| ~ ( c_lessequals @ SV106 @ SY1596 @ ( tc_fun @ SY1595 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1530,plain,
! [SV107: $i] :
( ( ! [SY1597: $i,SY1598: $i,SY1599: $i] :
( ~ ( class_Orderings_Opreorder @ SV107 )
| ( c_HOL_Oord__class_Oless @ SY1597 @ SY1598 @ SV107 )
| ~ ( c_HOL_Oord__class_Oless @ SY1599 @ SY1598 @ SV107 )
| ~ ( c_lessequals @ SY1597 @ SY1599 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1531,plain,
! [SV108: $i] :
( ( ! [SY1600: $i,SY1601: $i,SY1602: $i] :
( ~ ( class_Orderings_Opreorder @ SV108 )
| ( c_HOL_Oord__class_Oless @ SY1600 @ SY1601 @ SV108 )
| ~ ( c_lessequals @ SY1602 @ SY1601 @ SV108 )
| ~ ( c_HOL_Oord__class_Oless @ SY1600 @ SY1602 @ SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1532,plain,
! [SV109: $i] :
( ( ! [SY1603: $i,SY1604: $i,SY1605: $i,SY1606: $i,SY1607: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SY1603 @ SY1604 @ SY1605 ) @ SY1606 @ SY1607 @ SY1605 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SY1606 @ SY1607 @ SY1605 ) @ SY1603 @ SY1604 @ SY1605 ) )
| ( SY1603 = SY1606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1025]) ).
thf(1533,plain,
! [SV110: $i] :
( ( ! [SY1608: $i] :
( ~ ( class_Orderings_Olinorder @ SV110 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SY1608 @ SV110 ) @ SV110 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1608 @ SV110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1026]) ).
thf(1534,plain,
! [SV111: $i] :
( ( ! [SY1609: $i,SY1610: $i] :
( ( c_List_Orev @ ( c_List_Ofilter @ SV111 @ SY1609 @ SY1610 ) @ SY1610 )
= ( c_List_Ofilter @ SV111 @ ( c_List_Orev @ SY1609 @ SY1610 ) @ SY1610 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1535,plain,
! [SV112: $i] :
( ( ! [SY1611: $i,SY1612: $i] :
( ~ ( class_Orderings_Oorder @ SV112 )
| ( c_HOL_Oord__class_Oless @ SY1611 @ SY1612 @ SV112 )
| ( SY1612 = SY1611 )
| ~ ( c_lessequals @ SY1611 @ SY1612 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1536,plain,
! [SV113: $i] :
( ( ! [SY1613: $i,SY1614: $i] :
( ~ ( class_Orderings_Oorder @ SV113 )
| ( c_HOL_Oord__class_Oless @ SY1613 @ SY1614 @ SV113 )
| ~ ( c_lessequals @ SY1613 @ SY1614 @ SV113 )
| ( SY1614 = SY1613 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1029]) ).
thf(1537,plain,
! [SV114: $i] :
( ( ! [SY1615: $i,SY1616: $i] :
( ( c_HOL_Oord__class_Oless @ SV114 @ SY1615 @ ( tc_fun @ SY1616 @ tc_bool ) )
| ( SV114 = SY1615 )
| ~ ( c_lessequals @ SV114 @ SY1615 @ ( tc_fun @ SY1616 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1538,plain,
! [SV115: $i] :
( ( ! [SY1617: $i,SY1618: $i] :
( ~ ( class_Orderings_Oorder @ SV115 )
| ( SY1617 = SY1618 )
| ( c_HOL_Oord__class_Oless @ SY1617 @ SY1618 @ SV115 )
| ~ ( c_lessequals @ SY1617 @ SY1618 @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1539,plain,
! [SV116: $i] :
( ( ! [SY1619: $i,SY1620: $i] :
( ~ ( class_Orderings_Oorder @ SV116 )
| ( c_HOL_Oord__class_Oless @ SY1619 @ SY1620 @ SV116 )
| ( SY1619 = SY1620 )
| ~ ( c_lessequals @ SY1619 @ SY1620 @ SV116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1032]) ).
thf(1540,plain,
! [SV117: $i] :
( ( ! [SY1621: $i,SY1622: $i] :
( ( SV117 = SY1621 )
| ( c_HOL_Oord__class_Oless @ SV117 @ SY1621 @ ( tc_fun @ SY1622 @ tc_bool ) )
| ~ ( c_lessequals @ SV117 @ SY1621 @ ( tc_fun @ SY1622 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1541,plain,
! [SV118: $i] :
( ( ! [SY1623: $i,SY1624: $i] :
( ~ ( class_Orderings_Oorder @ SV118 )
| ( c_HOL_Oord__class_Oless @ SY1623 @ SY1624 @ SV118 )
| ( SY1623 = SY1624 )
| ~ ( c_lessequals @ SY1623 @ SY1624 @ SV118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1034]) ).
thf(1542,plain,
! [SV119: $i] :
( ( ! [SY1625: $i,SY1626: $i] :
( ~ ( class_Orderings_Oorder @ SV119 )
| ( c_HOL_Oord__class_Oless @ SY1625 @ SY1626 @ SV119 )
| ~ ( c_lessequals @ SY1625 @ SY1626 @ SV119 )
| ( SY1625 = SY1626 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1543,plain,
! [SV120: $i] :
( ( ! [SY1627: $i,SY1628: $i] :
( ~ ( class_Orderings_Olinorder @ SV120 )
| ( SY1627 = SY1628 )
| ~ ( c_lessequals @ SY1627 @ SY1628 @ SV120 )
| ( c_HOL_Oord__class_Oless @ SY1627 @ SY1628 @ SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1544,plain,
! [SV121: $i] :
( ( ! [SY1629: $i,SY1630: $i] :
( ~ ( class_Orderings_Olinorder @ SV121 )
| ( SY1629 = SY1630 )
| ( c_HOL_Oord__class_Oless @ SY1629 @ SY1630 @ SV121 )
| ~ ( c_lessequals @ SY1629 @ SY1630 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1037]) ).
thf(1545,plain,
! [SV122: $i] :
( ( ! [SY1631: $i,SY1632: $i] :
( ~ ( class_Orderings_Olinorder @ SV122 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SY1631 @ SY1632 @ SV122 ) @ SV122 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1632 @ SV122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1546,plain,
! [SV123: $i] :
( ( ! [SY1633: $i,SY1634: $i,SY1635: $i,SY1636: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV123 @ SY1633 @ SY1634 @ SY1635 ) @ SY1633 @ SY1636 @ SY1635 )
= ( c_List_Olist__update @ SV123 @ SY1633 @ SY1636 @ SY1635 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1039]) ).
thf(1547,plain,
! [SV124: $i] :
( ( ! [SY1637: $i] :
( ( c_List_Oset @ ( c_List_Oremdups @ SV124 @ SY1637 ) @ SY1637 )
= ( c_List_Oset @ SV124 @ SY1637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1548,plain,
! [SV125: $i] :
( ( ! [SY1638: $i,SY1639: $i] :
( ~ ( class_Orderings_Olinorder @ SV125 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SY1638 @ SY1639 @ SV125 ) @ SV125 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1639 @ SV125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1041]) ).
thf(1549,plain,
! [SV126: $i] :
( ( ! [SY1640: $i,SY1641: $i] :
( ~ ( class_Orderings_Oorder @ SV126 )
| ~ ( c_HOL_Oord__class_Oless @ SY1640 @ SY1641 @ SV126 )
| ~ ( c_HOL_Oord__class_Oless @ SY1641 @ SY1640 @ SV126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1042]) ).
thf(1550,plain,
! [SV127: $i] :
( ( ! [SY1642: $i,SY1643: $i] :
( ~ ( class_Orderings_Olinorder @ SV127 )
| ~ ( c_HOL_Oord__class_Oless @ SY1642 @ SY1643 @ SV127 )
| ~ ( c_HOL_Oord__class_Oless @ SY1643 @ SY1642 @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1043]) ).
thf(1551,plain,
! [SV128: $i] :
( ( ! [SY1644: $i,SY1645: $i] :
( ~ ( class_Orderings_Opreorder @ SV128 )
| ~ ( c_HOL_Oord__class_Oless @ SY1644 @ SY1645 @ SV128 )
| ~ ( c_HOL_Oord__class_Oless @ SY1645 @ SY1644 @ SV128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1552,plain,
! [SV129: $i] :
( ( ! [SY1646: $i,SY1647: $i] :
( ~ ( class_Orderings_Opreorder @ SV129 )
| ~ ( c_HOL_Oord__class_Oless @ SY1646 @ SY1647 @ SV129 )
| ~ ( c_HOL_Oord__class_Oless @ SY1647 @ SY1646 @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1553,plain,
! [SV130: $i] :
( ( ! [SY1648: $i,SY1649: $i] :
( ~ ( class_Orderings_Olinorder @ SV130 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY1648 @ SY1649 @ SV130 ) @ SV130 )
| ~ ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SY1648 @ SY1649 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SY1648 @ SY1649 @ SV130 ) @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1649 @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1648 @ SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1046]) ).
thf(1554,plain,
! [SV131: $i] :
( ( ! [SY1650: $i,SY1651: $i,SY1652: $i] :
( ( c_in @ SV131 @ ( c_Event_Oknows @ SY1650 @ SY1651 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SY1650 @ SY1652 @ SV131 ) @ ( c_List_Oset @ SY1651 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1047]) ).
thf(1555,plain,
! [SV132: $i] :
( ( ! [SY1653: $i,SY1654: $i] :
( ( c_in @ SV132 @ ( c_Event_Oknows @ SY1653 @ SY1654 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ SY1653 @ SV132 ) @ ( c_List_Oset @ SY1654 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1556,plain,
! [SV133: $i] :
( ( ! [SY1655: $i,SY1656: $i,SY1657: $i] :
( ( c_HOL_Oord__class_Oless @ SV133 @ SY1655 @ ( tc_fun @ SY1656 @ tc_bool ) )
| ~ ( c_in @ SY1657 @ SY1655 @ SY1656 )
| ~ ( c_HOL_Oord__class_Oless @ SV133 @ ( c_Set_Oinsert @ SY1657 @ SY1655 @ SY1656 ) @ ( tc_fun @ SY1656 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1557,plain,
! [SV134: $i] :
( ( ! [SY1658: $i,SY1659: $i,SY1660: $i] :
( ( c_HOL_Oord__class_Oless @ SV134 @ ( c_Set_Oinsert @ SY1658 @ SY1659 @ SY1660 ) @ ( tc_fun @ SY1660 @ tc_bool ) )
| ~ ( c_in @ SY1658 @ SY1659 @ SY1660 )
| ~ ( c_HOL_Oord__class_Oless @ SV134 @ SY1659 @ ( tc_fun @ SY1660 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1558,plain,
! [SV135: $i] :
( ( ! [SY1661: $i,SY1662: $i,SY1663: $i] :
( ~ ( c_in @ SV135 @ ( c_List_Oset @ ( c_List_Oremove1 @ SY1661 @ SY1662 @ SY1663 ) @ SY1663 ) @ SY1663 )
| ( c_in @ SV135 @ ( c_List_Oset @ SY1662 @ SY1663 ) @ SY1663 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1052]) ).
thf(1559,plain,
! [SV136: $i] :
( ( ! [SY1664: $i,SY1665: $i,SY1666: $i] :
( ( c_in @ SV136 @ ( c_List_Oset @ SY1664 @ SY1665 ) @ SY1665 )
| ~ ( c_in @ SV136 @ ( c_List_Oset @ ( c_List_Oremove1 @ SY1666 @ SY1664 @ SY1665 ) @ SY1665 ) @ SY1665 )
| ( SV136 = SY1666 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1053]) ).
thf(1560,plain,
! [SV137: $i] :
( ( ! [SY1667: $i,SY1668: $i,SY1669: $i] :
( ( c_in @ SV137 @ ( c_List_Oset @ ( c_List_Oremove1 @ SY1667 @ SY1668 @ SY1669 ) @ SY1669 ) @ SY1669 )
| ~ ( c_in @ SV137 @ ( c_List_Oset @ SY1668 @ SY1669 ) @ SY1669 )
| ( SV137 = SY1667 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1054]) ).
thf(1561,plain,
! [SV138: $i] :
( ( ! [SY1670: $i,SY1671: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ SV138 @ SY1670 @ SY1671 ) @ SY1671 ) @ ( c_List_Oset @ SY1670 @ SY1671 ) @ ( tc_fun @ SY1671 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1055]) ).
thf(1562,plain,
! [SV139: $i] :
( ( ! [SY1672: $i,SY1673: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ SV139 @ SY1672 @ SY1673 ) @ SY1673 ) @ ( c_List_Oset @ SY1672 @ SY1673 ) @ ( tc_fun @ SY1673 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1056]) ).
thf(1563,plain,
! [SV140: $i] :
( ( ! [SY1674: $i,SY1675: $i] :
( ( c_in @ SV140 @ ( c_Message_Osynth @ SY1674 ) @ tc_Message_Omsg )
| ~ ( c_in @ SY1675 @ ( c_Message_Osynth @ SY1674 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV140 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SY1675 @ SY1674 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1057]) ).
thf(1564,plain,
! [SV141: $i] :
( ( ! [SY1676: $i,SY1677: $i,SY1678: $i] :
( ( c_in @ SV141 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1676 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SY1677 @ SY1678 @ SV141 ) @ ( c_List_Oset @ SY1676 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1058]) ).
thf(1565,plain,
! [SV142: $i] :
( ( ! [SY1679: $i,SY1680: $i] :
( ( c_in @ SV142 @ ( c_Message_Osynth @ SY1679 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ SY1680 @ ( c_Message_Osynth @ SY1679 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV142 @ ( c_Message_Osynth @ SY1680 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1059]) ).
thf(1566,plain,
! [SV143: $i] :
( ( ! [SY1681: $i,SY1682: $i,SY1683: $i] :
( ( ( c_List_Ofilter @ SV143 @ ( c_List_Oreplicate @ SY1681 @ SY1682 @ SY1683 ) @ SY1683 )
= ( c_List_Olist_ONil @ SY1683 ) )
| ( hBOOL @ ( hAPP @ SV143 @ SY1682 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1061]) ).
thf(1567,plain,
! [SV144: $i] :
( ( ! [SY1684: $i,SY1685: $i] :
( ( c_List_Oappend @ ( c_List_OtakeWhile @ SV144 @ SY1684 @ SY1685 ) @ ( c_List_OdropWhile @ SV144 @ SY1684 @ SY1685 ) @ SY1685 )
= SY1684 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1062]) ).
thf(1568,plain,
! [SV145: $i] :
( ( ! [SY1686: $i,SY1687: $i,SY1688: $i] :
( ( ( c_List_OtakeWhile @ SV145 @ ( c_List_Oappend @ SY1686 @ SY1687 @ SY1688 ) @ SY1688 )
= ( c_List_Oappend @ SY1686 @ ( c_List_OtakeWhile @ SV145 @ SY1687 @ SY1688 ) @ SY1688 ) )
| ~ ( hBOOL @ ( hAPP @ SV145 @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV145 @ SY1686 @ SY1688 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1063]) ).
thf(1569,plain,
! [SV146: $i] :
( ( ! [SY1689: $i,SY1690: $i] :
( ( c_in @ SV146 @ ( c_Event_Oknows @ SY1689 @ SY1690 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SY1689 @ SV146 ) @ ( c_List_Oset @ SY1690 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY1689 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1064]) ).
thf(1570,plain,
! [SV147: $i] :
( ( ! [SY1691: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV147 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1691 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV147 @ SY1691 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1065]) ).
thf(1571,plain,
! [SV148: $i] :
( ( ! [SY1692: $i] : ( c_lessequals @ ( c_Set_Oinsert @ SV148 @ ( c_Message_Osynth @ SY1692 ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV148 @ SY1692 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1066]) ).
thf(1572,plain,
! [SV149: $i] :
( ( ! [SY1693: $i,SY1694: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV149 @ SY1693 ) @ SY1694 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1694 ) )
| ( c_in @ SV149 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1573,plain,
! [SV150: $i] :
( ( ! [SY1695: $i,SY1696: $i] :
( ~ ( hBOOL @ ( hAPP @ SV150 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV150 @ SY1695 @ SY1696 ) @ SY1696 ) ) )
| ( ( c_List_OdropWhile @ SV150 @ SY1695 @ SY1696 )
= ( c_List_Olist_ONil @ SY1696 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1574,plain,
! [SV151: $i] :
( ( ! [SY1697: $i,SY1698: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV151 @ SY1697 ) @ SY1698 @ tc_Event_Oevent ) )
= ( c_Event_Oused @ SY1698 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1575,plain,
! [SV152: $i] :
( ( ! [SY1699: $i,SY1700: $i] : ( c_in @ SV152 @ ( c_Set_Oinsert @ SV152 @ SY1699 @ SY1700 ) @ SY1700 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1070]) ).
thf(1576,plain,
! [SV153: $i] :
( ( ! [SY1701: $i,SY1702: $i] :
( ( ( c_Set_Oinsert @ SV153 @ SY1701 @ SY1702 )
= SY1701 )
| ~ ( c_in @ SV153 @ SY1701 @ SY1702 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1577,plain,
! [SV154: $i] :
( ( ( c_List_Olist_ONil @ SV154 )
= ( c_List_Orev @ ( c_List_Olist_ONil @ SV154 ) @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1578,plain,
! [SV155: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_ONil @ SV155 ) @ SV155 )
= ( c_List_Olist_ONil @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1579,plain,
! [SV156: $i] :
( ( ! [SY1703: $i] :
( ( c_List_OtakeWhile @ SV156 @ ( c_List_Olist_ONil @ SY1703 ) @ SY1703 )
= ( c_List_Olist_ONil @ SY1703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1580,plain,
! [SV157: $i] :
( ( ! [SY1704: $i] :
( ( c_List_Osplice @ SV157 @ ( c_List_Olist_ONil @ SY1704 ) @ SY1704 )
= SV157 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1581,plain,
! [SV158: $i] :
( ( ! [SY1705: $i] :
( ( c_List_Osplice @ ( c_List_Olist_ONil @ SV158 ) @ SY1705 @ SV158 )
= SY1705 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1077]) ).
thf(1582,plain,
! [SV159: $i] :
( ( ( c_List_Otl @ ( c_List_Olist_ONil @ SV159 ) @ SV159 )
= ( c_List_Olist_ONil @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1583,plain,
! [SV160: $i] :
( ( ! [SY1706: $i,SY1707: $i] :
( ( c_List_Oconcat__map @ SV160 @ ( c_List_Olist_ONil @ SY1706 ) @ SY1706 @ SY1707 )
= ( c_List_Olist_ONil @ SY1707 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1584,plain,
! [SV161: $i] :
( ( ! [SY1708: $i,SY1709: $i] :
( ( hBOOL @ ( hAPP @ SV161 @ SY1708 ) )
| ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV161 @ SY1709 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Olist_ONil @ SY1709 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1081]) ).
thf(1585,plain,
! [SV162: $i] :
( ( ( c_List_Orotate1 @ ( c_List_Olist_ONil @ SV162 ) @ SV162 )
= ( c_List_Olist_ONil @ SV162 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1586,plain,
! [SV163: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV163 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV163 ) @ SV163 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1587,plain,
! [SV164: $i] :
( ( ( c_List_Orev @ ( c_List_Olist_ONil @ SV164 ) @ SV164 )
= ( c_List_Olist_ONil @ SV164 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1588,plain,
! [SV165: $i] :
( ( ! [SY1710: $i] :
( ( ( c_List_Orotate1 @ SV165 @ SY1710 )
= ( c_List_Oappend @ ( c_List_Otl @ SV165 @ SY1710 ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV165 @ SY1710 ) @ ( c_List_Olist_ONil @ SY1710 ) @ SY1710 ) @ SY1710 ) )
| ( SV165
= ( c_List_Olist_ONil @ SY1710 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1589,plain,
! [SV166: $i] :
( ( ! [SY1711: $i,SY1712: $i,SY1713: $i] :
( ( c_in @ SV166 @ ( c_List_Oset @ ( c_List_Oappend @ SY1711 @ ( c_List_Olist_OCons @ SV166 @ SY1712 @ SY1713 ) @ SY1713 ) @ SY1713 ) @ SY1713 )
| ( c_in @ SV166 @ ( c_List_Oset @ SY1711 @ SY1713 ) @ SY1713 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1590,plain,
! [SV167: $i] :
( ( ! [SY1714: $i,SY1715: $i,SY1716: $i] :
( ( c_in @ SV167 @ ( c_List_Oset @ ( c_List_Oappend @ SY1714 @ ( c_List_Olist_OCons @ SV167 @ SY1715 @ SY1716 ) @ SY1716 ) @ SY1716 ) @ SY1716 )
| ( c_in @ SV167 @ ( c_List_Oset @ SY1715 @ SY1716 ) @ SY1716 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1089]) ).
thf(1591,plain,
! [SV168: $i] :
( ( ! [SY1717: $i,SY1718: $i,SY1719: $i] : ( c_in @ SV168 @ ( c_List_Oset @ ( c_List_Oappend @ SY1717 @ ( c_List_Olist_OCons @ SV168 @ SY1718 @ SY1719 ) @ SY1719 ) @ SY1719 ) @ SY1719 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1592,plain,
! [SV169: $i] :
( ( ! [SY1720: $i,SY1721: $i] :
( ~ ( class_Orderings_Olinorder @ SV169 )
| ( c_List_Olinorder__class_Osorted @ SY1720 @ SV169 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY1721 @ SY1720 @ SV169 ) @ SV169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1593,plain,
! [SV170: $i] :
( ( ! [SY1722: $i,SY1723: $i] :
( ~ ( class_Orderings_Olinorder @ SV170 )
| ( c_List_Olinorder__class_Osorted @ SY1722 @ SV170 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY1722 @ SY1723 @ SV170 ) @ SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1092]) ).
thf(1594,plain,
! [SV171: $i] :
( ( ! [SY1724: $i,SY1725: $i,SY1726: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV171 @ SY1724 @ SY1725 ) @ ( c_List_Oreplicate @ SY1726 @ SY1724 @ SY1725 ) @ SY1725 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SY1726 @ SY1724 @ SY1725 ) @ ( c_List_Oreplicate @ SV171 @ SY1724 @ SY1725 ) @ SY1725 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1595,plain,
! [SV172: $i] :
( ( ! [SY1727: $i,SY1728: $i] :
( ( c_List_Orev @ ( c_List_Oappend @ SV172 @ SY1727 @ SY1728 ) @ SY1728 )
= ( c_List_Oappend @ ( c_List_Orev @ SY1727 @ SY1728 ) @ ( c_List_Orev @ SV172 @ SY1728 ) @ SY1728 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1596,plain,
! [SV173: $i] :
( ( ! [SY1729: $i,SY1730: $i,SY1731: $i] :
( ~ ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1729 ) ) @ tc_Message_Omsg )
| ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY1730 @ SY1731 ) @ SY1729 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1100]) ).
thf(1597,plain,
! [SV174: $i] :
( ( ! [SY1732: $i,SY1733: $i,SY1734: $i] :
( ~ ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1732 ) ) @ tc_Message_Omsg )
| ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY1733 @ SY1734 ) @ SY1732 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1101]) ).
thf(1598,plain,
! [SV175: $i] :
( ( ! [SY1735: $i,SY1736: $i,SY1737: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV175 @ SY1735 ) @ ( c_Event_Oknows @ SV175 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY1736 @ SY1737 ) @ SY1735 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1102]) ).
thf(1599,plain,
! [SV176: $i] :
( ( ! [SY1738: $i,SY1739: $i,SY1740: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV176 @ SY1738 ) @ ( c_Event_Oknows @ SV176 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY1739 @ SY1740 ) @ SY1738 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1600,plain,
! [SV177: $i] :
( ( ! [SY1741: $i,SY1742: $i] :
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV177 @ SY1741 ) @ SY1742 @ tc_Event_Oevent ) )
| ~ ( c_in @ SY1741 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1742 ) ) ) @ tc_Message_Omsg )
| ~ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY1742 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1601,plain,
! [SV178: $i] :
( ( ! [SY1743: $i,SY1744: $i,SY1745: $i,SY1746: $i] :
( ~ ( class_Orderings_Olinorder @ SV178 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SY1743 @ SY1744 @ SY1745 @ SY1746 @ SV178 )
= ( c_List_Olist_OCons @ SY1744 @ SY1745 @ SY1746 ) )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SY1744 @ SY1743 @ SY1745 @ SY1746 @ SV178 ) @ ( c_List_Oset @ SY1745 @ SY1746 ) @ SY1746 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1602,plain,
! [SV179: $i] :
( ( ! [SY1747: $i,SY1748: $i,SY1749: $i] :
( ( ( c_List_OtakeWhile @ SV179 @ ( c_List_Oappend @ SY1747 @ SY1748 @ SY1749 ) @ SY1749 )
= ( c_List_Oappend @ SY1747 @ ( c_List_OtakeWhile @ SV179 @ SY1748 @ SY1749 ) @ SY1749 ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV179 @ SY1747 @ SY1749 ) @ ( c_List_Oset @ SY1747 @ SY1749 ) @ SY1749 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1603,plain,
! [SV180: $i] :
( ( ! [SY1750: $i,SY1751: $i] :
( ~ ( class_Orderings_Olinorder @ SV180 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY1750 @ SY1751 @ SV180 ) @ SV180 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SY1750 @ SY1751 @ SV180 ) @ ( c_List_Oset @ SY1751 @ SV180 ) @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1751 @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1750 @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1107]) ).
thf(1604,plain,
! [SV181: $i] :
( ( ! [SY1752: $i,SY1753: $i] :
( ~ ( class_Orderings_Olinorder @ SV181 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY1752 @ SY1753 @ SV181 ) @ SV181 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SY1752 @ SY1753 @ SV181 ) @ ( c_List_Oset @ SY1752 @ SV181 ) @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1753 @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1752 @ SV181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1605,plain,
! [SV182: $i] :
( ( ! [SY1754: $i,SY1755: $i] :
( ~ ( class_Orderings_Olinorder @ SV182 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1754 @ SY1755 @ SV182 ) @ SV182 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SY1754 @ SY1755 @ SV182 ) @ ( c_List_Oset @ SY1755 @ SV182 ) @ SV182 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1755 @ SV182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1606,plain,
! [SV183: $i] :
( ( ! [SY1756: $i,SY1757: $i,SY1758: $i,SY1759: $i] :
( ~ ( class_Orderings_Olinorder @ SV183 )
| ~ ( c_in @ SY1756 @ ( c_List_Oset @ SY1757 @ SY1758 ) @ SY1758 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SY1759 @ SY1756 @ SY1757 @ SY1758 @ SV183 ) @ SY1758 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1110]) ).
thf(1607,plain,
! [SV184: $i] :
( ( ! [SY1760: $i,SY1761: $i,SY1762: $i,SY1763: $i] :
( ~ ( class_Orderings_Olinorder @ SV184 )
| ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SY1760 @ SY1761 @ SY1762 @ SY1763 @ SV184 ) @ SY1763 )
| ~ ( c_List_Odistinct @ SY1762 @ SY1763 )
| ( c_in @ SY1761 @ ( c_List_Oset @ SY1762 @ SY1763 ) @ SY1763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1111]) ).
thf(1608,plain,
! [SV185: $i] :
( ( ! [SY1764: $i,SY1765: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV185 @ SY1764 ) @ SY1765 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV185 @ SY1764 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY1764 @ SY1765 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1609,plain,
! [SV186: $i] :
( ( ! [SY1766: $i,SY1767: $i,SY1768: $i,SY1769: $i] :
( ~ ( class_Orderings_Olinorder @ SV186 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SY1766 @ SY1767 @ SY1768 @ SY1769 @ SV186 )
= ( c_List_Olist_OCons @ SY1767 @ SY1768 @ SY1769 ) )
| ~ ( c_lessequals @ ( hAPP @ SY1766 @ SY1767 ) @ ( hAPP @ SY1766 @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SY1767 @ SY1766 @ SY1768 @ SY1769 @ SV186 ) ) @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1610,plain,
! [SV187: $i] :
( ( ! [SY1770: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV187 @ SY1770 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV187 @ ( c_Message_Oanalz @ SY1770 ) @ tc_Message_Omsg ) )
| ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SY1770 @ SV187 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV187 @ SY1770 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1116]) ).
thf(1611,plain,
! [SV188: $i] :
( ( ! [SY1771: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV188 @ SY1771 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV188 @ ( c_Message_Oanalz @ SY1771 ) @ tc_Message_Omsg ) )
| ~ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SY1771 @ SV188 ) @ ( c_Set_Oinsert @ SV188 @ ( c_Message_Oanalz @ SY1771 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1117]) ).
thf(1612,plain,
! [SV189: $i] :
( ( ! [SY1772: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV189 @ SY1772 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1772 ) ) )
| ~ ( c_in @ SV189 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1772 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1118]) ).
thf(1613,plain,
! [SV190: $i] :
( ( ! [SY1773: $i,SY1774: $i] :
( ( ( c_List_OtakeWhile @ SV190 @ SY1773 @ SY1774 )
= SY1773 )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ SV190 @ SY1773 @ SY1774 ) @ ( c_List_Oset @ SY1773 @ SY1774 ) @ SY1774 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1119]) ).
thf(1614,plain,
! [SV191: $i] :
( ( ! [SY1775: $i,SY1776: $i,SY1777: $i] :
( ( ( c_List_OtakeWhile @ SV191 @ SY1775 @ SY1776 )
= ( c_List_OtakeWhile @ SY1777 @ SY1775 @ SY1776 ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV191 @ SY1777 @ SY1775 @ SY1776 ) @ ( c_List_Oset @ SY1775 @ SY1776 ) @ SY1776 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1615,plain,
! [SV192: $i] :
( ( ! [SY1778: $i,SY1779: $i] :
( ~ ( class_Orderings_Olinorder @ SV192 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1778 @ SY1779 @ SV192 ) @ SV192 )
| ~ ( c_lessequals @ SY1778 @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SY1778 @ SY1779 @ SV192 ) @ SV192 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1779 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1616,plain,
! [SV193: $i] :
( ( ! [SY1780: $i,SY1781: $i,SY1782: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV193 @ SY1780 @ SY1781 @ SY1782 ) @ SY1782 ) @ ( c_Set_Oinsert @ SY1781 @ ( c_List_Oset @ SV193 @ SY1782 ) @ SY1782 ) @ ( tc_fun @ SY1782 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1617,plain,
! [SV194: $i] :
( ( ! [SY1783: $i,SY1784: $i,SY1785: $i] :
( ( ( c_List_Oremove1 @ SV194 @ ( c_List_Oappend @ SY1783 @ SY1784 @ SY1785 ) @ SY1785 )
= ( c_List_Oappend @ ( c_List_Oremove1 @ SV194 @ SY1783 @ SY1785 ) @ SY1784 @ SY1785 ) )
| ~ ( c_in @ SV194 @ ( c_List_Oset @ SY1783 @ SY1785 ) @ SY1785 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1618,plain,
! [SV195: $i] :
( ( ! [SY1786: $i,SY1787: $i,SY1788: $i,SY1789: $i] :
( ( ( c_List_OdropWhile @ SV195 @ ( c_List_Oappend @ SY1786 @ SY1787 @ SY1788 ) @ SY1788 )
= ( c_List_Oappend @ ( c_List_OdropWhile @ SV195 @ SY1786 @ SY1788 ) @ SY1787 @ SY1788 ) )
| ( hBOOL @ ( hAPP @ SV195 @ SY1789 ) )
| ~ ( c_in @ SY1789 @ ( c_List_Oset @ SY1786 @ SY1788 ) @ SY1788 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1619,plain,
! [SV196: $i] :
( ( ! [SY1790: $i,SY1791: $i,SY1792: $i] :
( ( ( c_List_Oremove1 @ SV196 @ ( c_List_Oappend @ SY1790 @ SY1791 @ SY1792 ) @ SY1792 )
= ( c_List_Oappend @ SY1790 @ ( c_List_Oremove1 @ SV196 @ SY1791 @ SY1792 ) @ SY1792 ) )
| ( c_in @ SV196 @ ( c_List_Oset @ SY1790 @ SY1792 ) @ SY1792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1620,plain,
! [SV197: $i] :
( ( ! [SY1793: $i,SY1794: $i,SY1795: $i,SY1796: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV197 @ SY1793 @ SY1794 @ SY1795 ) @ SY1795 ) @ SY1796 @ ( tc_fun @ SY1795 @ tc_bool ) )
| ~ ( c_in @ SY1794 @ SY1796 @ SY1795 )
| ~ ( c_lessequals @ ( c_List_Oset @ SV197 @ SY1795 ) @ SY1796 @ ( tc_fun @ SY1795 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1621,plain,
! [SV198: $i] :
( ( ! [SY1797: $i,SY1798: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ SV198 @ SY1797 @ SY1798 ) @ SY1798 )
= ( c_List_Oremdups @ SY1797 @ SY1798 ) )
| ~ ( c_in @ SV198 @ ( c_List_Oset @ SY1797 @ SY1798 ) @ SY1798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1129]) ).
thf(1622,plain,
! [SV199: $i] :
( ( ! [SY1799: $i,SY1800: $i,SY1801: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV199 @ SY1799 @ SY1800 ) @ SY1801 @ SY1800 )
= ( c_List_Olist_OCons @ SV199 @ ( c_List_Olist__inter @ SY1799 @ SY1801 @ SY1800 ) @ SY1800 ) )
| ~ ( c_in @ SV199 @ ( c_List_Oset @ SY1801 @ SY1800 ) @ SY1800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1130]) ).
thf(1623,plain,
! [SV200: $i] :
( ( ! [SY1802: $i,SY1803: $i,SY1804: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV200 @ SY1802 @ SY1803 ) @ SY1804 @ SY1803 )
= ( c_List_Olist__inter @ SY1802 @ SY1804 @ SY1803 ) )
| ( c_in @ SV200 @ ( c_List_Oset @ SY1804 @ SY1803 ) @ SY1803 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1624,plain,
! [SV201: $i] :
( ( ! [SY1805: $i,SY1806: $i] :
( ( ( c_List_Olength__unique @ ( c_List_Olist_OCons @ SV201 @ SY1805 @ SY1806 ) @ SY1806 )
= ( c_List_Olength__unique @ SY1805 @ SY1806 ) )
| ~ ( c_in @ SV201 @ ( c_List_Oset @ SY1805 @ SY1806 ) @ SY1806 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1132]) ).
thf(1625,plain,
! [SV202: $i] :
( ( ! [SY1807: $i,SY1808: $i] :
( ~ ( c_in @ SV202 @ ( c_List_Oset @ SY1807 @ SY1808 ) @ SY1808 )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV202 @ SY1807 @ SY1808 ) @ SY1808 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1626,plain,
! [SV203: $i] :
( ( ! [SY1809: $i,SY1810: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ SV203 @ SY1809 @ SY1810 ) @ SY1810 )
= ( c_List_Olist_OCons @ SV203 @ ( c_List_Oremdups @ SY1809 @ SY1810 ) @ SY1810 ) )
| ( c_in @ SV203 @ ( c_List_Oset @ SY1809 @ SY1810 ) @ SY1810 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1627,plain,
! [SV204: $i] :
( ( ! [SY1811: $i,SY1812: $i] :
( ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV204 @ SY1811 @ SY1812 ) @ SY1812 )
| ~ ( c_List_Odistinct @ SY1811 @ SY1812 )
| ( c_in @ SV204 @ ( c_List_Oset @ SY1811 @ SY1812 ) @ SY1812 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1135]) ).
thf(1628,plain,
! [SV205: $i] :
( ( ! [SY1813: $i,SY1814: $i,SY1815: $i] :
( ( c_HOL_Oord__class_Oless @ SV205 @ ( c_Set_Oinsert @ SY1813 @ SY1814 @ SY1815 ) @ ( tc_fun @ SY1815 @ tc_bool ) )
| ~ ( c_lessequals @ SV205 @ SY1814 @ ( tc_fun @ SY1815 @ tc_bool ) )
| ( c_in @ SY1813 @ SV205 @ SY1815 )
| ~ ( c_HOL_Oord__class_Oless @ SV205 @ SY1814 @ ( tc_fun @ SY1815 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1629,plain,
! [SV206: $i] :
( ( ! [SY1816: $i,SY1817: $i,SY1818: $i] :
( ( c_HOL_Oord__class_Oless @ SV206 @ ( c_Set_Oinsert @ SY1816 @ SY1817 @ SY1818 ) @ ( tc_fun @ SY1818 @ tc_bool ) )
| ~ ( c_lessequals @ SV206 @ SY1817 @ ( tc_fun @ SY1818 @ tc_bool ) )
| ( c_in @ SY1816 @ SV206 @ SY1818 )
| ( c_in @ SY1816 @ SY1817 @ SY1818 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1137]) ).
thf(1630,plain,
! [SV207: $i] :
( ( ! [SY1819: $i,SY1820: $i,SY1821: $i] :
( ( c_lessequals @ SV207 @ SY1819 @ ( tc_fun @ SY1820 @ tc_bool ) )
| ( c_in @ SY1821 @ SV207 @ SY1820 )
| ( c_in @ SY1821 @ SY1819 @ SY1820 )
| ~ ( c_HOL_Oord__class_Oless @ SV207 @ ( c_Set_Oinsert @ SY1821 @ SY1819 @ SY1820 ) @ ( tc_fun @ SY1820 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1631,plain,
! [SV208: $i] :
( ( ! [SY1822: $i,SY1823: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV208 @ SY1822 ) @ SY1823 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY1822 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1823 ) @ tc_Message_Omsg ) )
| ~ ( c_in @ SV208 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1632,plain,
! [SV209: $i] :
( ( ! [SY1824: $i,SY1825: $i,SY1826: $i] :
( ( c_in @ SV209 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1824 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SY1825 @ SY1826 @ SV209 ) @ ( c_List_Oset @ SY1824 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1633,plain,
! [SV210: $i] :
( ( ! [SY1827: $i,SY1828: $i] :
( ( c_in @ SV210 @ ( c_Event_OinitState @ SY1827 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Event_Oevent_ONotes @ SY1827 @ SV210 ) @ ( c_List_Oset @ SY1828 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ SY1827 @ SV210 ) @ ( c_List_Oset @ SY1828 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ SY1827 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SY1827 @ SV210 @ SY1828 ) @ SV210 ) @ ( c_List_Oset @ SY1828 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY1827 = c_Message_Oagent_OSpy )
| ~ ( c_in @ SV210 @ ( c_Event_Oknows @ SY1827 @ SY1828 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1634,plain,
! [SV211: $i] :
( ( c_lessequals @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( c_Event_Oused @ SV211 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1635,plain,
! [SV212: $i] :
( ( ! [SY1829: $i,SY1830: $i] : ( c_in @ SV212 @ ( c_Set_Oinsert @ SV212 @ SY1829 @ SY1830 ) @ SY1830 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1636,plain,
! [SV213: $i] :
( ( ! [SY1831: $i,SY1832: $i] : ( c_in @ SV213 @ ( c_Set_Oinsert @ SV213 @ SY1831 @ SY1832 ) @ SY1832 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1637,plain,
! [SV214: $i] :
( ( ! [SY1833: $i,SY1834: $i,SY1835: $i] :
( ( c_lessequals @ SV214 @ SY1833 @ ( tc_fun @ SY1834 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY1835 @ SV214 @ SY1834 ) @ SY1833 @ ( tc_fun @ SY1834 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1638,plain,
! [SV215: $i] :
( ( ! [SY1836: $i,SY1837: $i,SY1838: $i] :
( ( c_lessequals @ SV215 @ ( c_Set_Oinsert @ SY1836 @ SY1837 @ SY1838 ) @ ( tc_fun @ SY1838 @ tc_bool ) )
| ~ ( c_lessequals @ SV215 @ SY1837 @ ( tc_fun @ SY1838 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1639,plain,
! [SV216: $i] :
( ( ! [SY1839: $i,SY1840: $i] : ( c_lessequals @ SV216 @ ( c_Set_Oinsert @ SY1839 @ SV216 @ SY1840 ) @ ( tc_fun @ SY1840 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1640,plain,
! [SV217: $i] :
( ( ! [SY1841: $i,SY1842: $i,SY1843: $i] :
( ( c_in @ SV217 @ SY1841 @ SY1842 )
| ( SV217 = SY1843 )
| ~ ( c_in @ SV217 @ ( c_Set_Oinsert @ SY1843 @ SY1841 @ SY1842 ) @ SY1842 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1641,plain,
! [SV218: $i] :
( ( ! [SY1844: $i,SY1845: $i,SY1846: $i] :
( ( c_in @ SV218 @ ( c_Set_Oinsert @ SY1844 @ SY1845 @ SY1846 ) @ SY1846 )
| ~ ( c_in @ SV218 @ SY1845 @ SY1846 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1642,plain,
! [SV219: $i] :
( ( ! [SY1847: $i,SY1848: $i,SY1849: $i] :
( ( c_in @ SV219 @ ( c_Set_Oinsert @ SY1847 @ SY1848 @ SY1849 ) @ SY1849 )
| ~ ( c_in @ SV219 @ SY1848 @ SY1849 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1643,plain,
! [SV220: $i] :
( ( ! [SY1850: $i,SY1851: $i,SY1852: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV220 @ SY1850 @ SY1851 ) @ ( c_Set_Oinsert @ SV220 @ SY1852 @ SY1851 ) @ ( tc_fun @ SY1851 @ tc_bool ) )
| ~ ( c_lessequals @ SY1850 @ SY1852 @ ( tc_fun @ SY1851 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1644,plain,
! [SV221: $i] :
( ( ! [SY1853: $i,SY1854: $i,SY1855: $i] :
( ( ( c_List_OtakeWhile @ SV221 @ ( c_List_Olist_OCons @ SY1853 @ SY1854 @ SY1855 ) @ SY1855 )
= ( c_List_Olist_OCons @ SY1853 @ ( c_List_OtakeWhile @ SV221 @ SY1854 @ SY1855 ) @ SY1855 ) )
| ~ ( hBOOL @ ( hAPP @ SV221 @ SY1853 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1152]) ).
thf(1645,plain,
! [SV222: $i] :
( ( ! [SY1856: $i,SY1857: $i] :
( ~ ( class_Orderings_Olinorder @ SV222 )
| ( c_List_Olinorder__class_Osorted @ SY1856 @ SV222 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1857 @ SY1856 @ SV222 ) @ SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1153]) ).
thf(1646,plain,
! [SV223: $i] :
( ( ! [SY1858: $i,SY1859: $i,SY1860: $i] :
( ~ ( class_Orderings_Olinorder @ SV223 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1858 @ SY1859 @ SV223 ) @ SV223 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1860 @ ( c_List_Olist_OCons @ SY1858 @ SY1859 @ SV223 ) @ SV223 ) @ SV223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1154]) ).
thf(1647,plain,
! [SV224: $i] :
( ( ! [SY1861: $i,SY1862: $i,SY1863: $i,SY1864: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV224 @ SY1861 @ SY1862 ) @ ( c_List_Olist_OCons @ SY1863 @ SY1864 @ SY1862 ) @ SY1862 )
= ( c_List_Olist_OCons @ SV224 @ ( c_List_Olist_OCons @ SY1863 @ ( c_List_Osplice @ SY1861 @ SY1864 @ SY1862 ) @ SY1862 ) @ SY1862 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1648,plain,
! [SV225: $i] :
( ( ! [SY1865: $i,SY1866: $i] :
( ( c_List_Otl @ ( c_List_Olist_OCons @ SV225 @ SY1865 @ SY1866 ) @ SY1866 )
= SY1865 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1156]) ).
thf(1649,plain,
! [SV226: $i] :
( ( ! [SY1867: $i,SY1868: $i] :
( ( c_List_Ohd @ ( c_List_Olist_OCons @ SV226 @ SY1867 @ SY1868 ) @ SY1868 )
= SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1650,plain,
! [SV227: $i] :
( ( ! [SY1869: $i,SY1870: $i,SY1871: $i,SY1872: $i] :
( ~ ( class_HOL_Oord @ SV227 )
| ( c_lessequals @ ( hAPP @ SY1869 @ SY1870 ) @ ( hAPP @ SY1871 @ SY1870 ) @ SV227 )
| ~ ( c_lessequals @ SY1869 @ SY1871 @ ( tc_fun @ SY1872 @ SV227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1651,plain,
! [SV228: $i] :
( ( ! [SY1873: $i,SY1874: $i,SY1875: $i] :
( ( hBOOL @ ( hAPP @ SV228 @ SY1873 ) )
| ~ ( c_in @ SY1873 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SV228 @ SY1874 @ SY1875 ) @ SY1875 ) @ SY1875 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1159]) ).
thf(1652,plain,
! [SV229: $i] :
( ( ! [SY1876: $i] :
( ( c_in @ ( c_List_Ohd @ SV229 @ SY1876 ) @ ( c_List_Oset @ SV229 @ SY1876 ) @ SY1876 )
| ( SV229
= ( c_List_Olist_ONil @ SY1876 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1653,plain,
! [SV230: $i] :
( ( ! [SY1877: $i,SY1878: $i,SY1879: $i] :
( ~ ( class_Orderings_Olinorder @ SV230 )
| ( c_lessequals @ SY1877 @ SY1878 @ SV230 )
| ~ ( c_in @ SY1878 @ ( c_List_Oset @ SY1879 @ SV230 ) @ SV230 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1877 @ SY1879 @ SV230 ) @ SV230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1161]) ).
thf(1654,plain,
! [SV231: $i] :
( ( ! [SY1880: $i,SY1881: $i,SY1882: $i] :
( ( c_in @ SV231 @ ( c_List_Oset @ SY1880 @ SY1881 ) @ SY1881 )
| ~ ( c_in @ SV231 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SY1882 @ SY1880 @ SY1881 ) @ SY1881 ) @ SY1881 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1162]) ).
thf(1655,plain,
! [SV232: $i] :
( ( ! [SY1883: $i,SY1884: $i] :
( ( c_in @ SV232 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY1883 @ SY1884 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV232 @ ( c_Message_Oanalz @ SY1884 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1656,plain,
! [SV233: $i] :
( ( ! [SY1885: $i,SY1886: $i,SY1887: $i] :
( ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SY1885 @ SY1886 @ SY1887 ) @ SY1887 ) @ SY1887 ) @ SY1887 )
| ~ ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ SY1885 @ SY1887 ) @ SY1887 ) @ SY1887 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1657,plain,
! [SV234: $i] :
( ( ! [SY1888: $i,SY1889: $i,SY1890: $i] :
( ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SY1888 @ SY1889 @ SY1890 ) @ SY1890 ) @ SY1890 ) @ SY1890 )
| ~ ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ SY1889 @ SY1890 ) @ SY1890 ) @ SY1890 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1165]) ).
thf(1658,plain,
! [SV235: $i] :
( ( ! [SY1891: $i,SY1892: $i] :
( ~ ( class_Orderings_Olinorder @ SV235 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OtakeWhile @ SY1891 @ SY1892 @ SV235 ) @ SV235 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1892 @ SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1166]) ).
thf(1659,plain,
! [SV236: $i] :
( ( ! [SY1893: $i,SY1894: $i,SY1895: $i,SY1896: $i,SY1897: $i] :
( ~ ( class_Orderings_Olinorder @ SV236 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SY1893 @ SY1894 @ ( c_List_Olist_OCons @ SY1895 @ SY1896 @ SY1897 ) @ SY1897 @ SV236 )
= ( c_List_Olist_OCons @ SY1894 @ ( c_List_Olist_OCons @ SY1895 @ SY1896 @ SY1897 ) @ SY1897 ) )
| ~ ( c_lessequals @ ( hAPP @ SY1893 @ SY1894 ) @ ( hAPP @ SY1893 @ SY1895 ) @ SV236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1660,plain,
! [SV237: $i] :
( ( ! [SY1898: $i,SY1899: $i,SY1900: $i] :
( ( c_lessequals @ SV237 @ SY1898 @ ( tc_fun @ SY1899 @ tc_bool ) )
| ~ ( c_lessequals @ SV237 @ ( c_Set_Oinsert @ SY1900 @ SY1898 @ SY1899 ) @ ( tc_fun @ SY1899 @ tc_bool ) )
| ( c_in @ SY1900 @ SV237 @ SY1899 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1661,plain,
! [SV238: $i] :
( ( ! [SY1901: $i,SY1902: $i,SY1903: $i] :
( ( c_lessequals @ SV238 @ ( c_Set_Oinsert @ SY1901 @ SY1902 @ SY1903 ) @ ( tc_fun @ SY1903 @ tc_bool ) )
| ~ ( c_lessequals @ SV238 @ SY1902 @ ( tc_fun @ SY1903 @ tc_bool ) )
| ( c_in @ SY1901 @ SV238 @ SY1903 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1662,plain,
! [SV239: $i] :
( ( ! [SY1904: $i,SY1905: $i,SY1906: $i] :
( ( c_lessequals @ SV239 @ SY1904 @ ( tc_fun @ SY1905 @ tc_bool ) )
| ( c_in @ SY1906 @ SV239 @ SY1905 )
| ~ ( c_lessequals @ SV239 @ ( c_Set_Oinsert @ SY1906 @ SY1904 @ SY1905 ) @ ( tc_fun @ SY1905 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1663,plain,
! [SV240: $i] :
( ( ! [SY1907: $i,SY1908: $i,SY1909: $i] :
( ( c_lessequals @ SV240 @ ( c_Set_Oinsert @ SY1907 @ SY1908 @ SY1909 ) @ ( tc_fun @ SY1909 @ tc_bool ) )
| ~ ( c_lessequals @ SV240 @ SY1908 @ ( tc_fun @ SY1909 @ tc_bool ) )
| ( c_in @ SY1907 @ SV240 @ SY1909 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1664,plain,
! [SV241: $i] :
( ( ! [SY1910: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV241 @ SY1910 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SY1910 ) )
| ~ ( c_in @ SV241 @ ( c_Message_Oanalz @ SY1910 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1665,plain,
! [SV242: $i] :
( ( ! [SY1911: $i,SY1912: $i,SY1913: $i] :
( ( c_in @ SV242 @ SY1911 @ SY1912 )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV242 @ SY1913 @ SY1912 ) @ SY1911 @ ( tc_fun @ SY1912 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1666,plain,
! [SV243: $i] :
( ( ! [SY1914: $i,SY1915: $i,SY1916: $i,SY1917: $i] :
( ( hBOOL @ ( hAPP @ SV243 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ ( c_List_Oappend @ SY1914 @ ( c_List_Olist_OCons @ SY1915 @ SY1916 @ SY1917 ) @ SY1917 ) @ SY1917 ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ SY1914 @ SY1917 ) @ ( c_List_Oset @ SY1914 @ SY1917 ) @ SY1917 )
| ~ ( hBOOL @ ( hAPP @ SV243 @ SY1915 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1667,plain,
! [SV244: $i] :
( ( ! [SY1918: $i,SY1919: $i,SY1920: $i,SY1921: $i] :
( ~ ( class_Orderings_Olinorder @ SV244 )
| ( c_lessequals @ SY1918 @ SY1919 @ SV244 )
| ~ ( c_in @ SY1919 @ ( c_List_Oset @ SY1920 @ SV244 ) @ SV244 )
| ~ ( c_in @ SY1918 @ ( c_List_Oset @ SY1921 @ SV244 ) @ SV244 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY1921 @ SY1920 @ SV244 ) @ SV244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1668,plain,
! [SV245: $i] :
( ( ! [SY1922: $i,SY1923: $i,SY1924: $i] :
( ( c_in @ SV245 @ ( c_List_Oset @ SY1922 @ SY1923 ) @ SY1923 )
| ( SV245 = SY1924 )
| ~ ( c_in @ SV245 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY1924 @ SY1922 @ SY1923 ) @ SY1923 ) @ SY1923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1669,plain,
! [SV246: $i] :
( ( ! [SY1925: $i,SY1926: $i,SY1927: $i,SY1928: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ ( c_List_Oappend @ SY1925 @ ( c_List_Olist_OCons @ SY1926 @ SY1927 @ SY1928 ) @ SY1928 ) @ SY1928 ) @ ( c_List_Oset @ ( c_List_Oappend @ SY1925 @ ( c_List_Olist_OCons @ SY1926 @ SY1927 @ SY1928 ) @ SY1928 ) @ SY1928 ) @ SY1928 )
| ( hBOOL @ ( hAPP @ SV246 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ SY1927 @ SY1928 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV246 @ SY1926 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1670,plain,
! [SV247: $i] :
( ( ! [SY1929: $i,SY1930: $i] :
( ( hBOOL @ ( hAPP @ SV247 @ SY1929 ) )
| ~ ( c_in @ SY1929 @ SV247 @ SY1930 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1671,plain,
! [SV248: $i] :
( ( ! [SY1931: $i,SY1932: $i] :
( ( c_in @ SV248 @ SY1931 @ SY1932 )
| ~ ( hBOOL @ ( hAPP @ SY1931 @ SV248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1672,plain,
! [SV249: $i] :
( ( ! [SY1933: $i] :
( ( c_in @ SV249 @ ( c_Message_Oanalz @ SY1933 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV249 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SY1933 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1180]) ).
thf(1673,plain,
! [SV250: $i] :
( ( ! [SY1934: $i] :
( ( c_in @ ( c_List_Olast @ SV250 @ SY1934 ) @ ( c_List_Oset @ SV250 @ SY1934 ) @ SY1934 )
| ( SV250
= ( c_List_Olist_ONil @ SY1934 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1674,plain,
! [SV251: $i] :
( ( ! [SY1935: $i] :
( ( ( c_List_Olast @ ( c_List_Orev @ SV251 @ SY1935 ) @ SY1935 )
= ( c_List_Ohd @ SV251 @ SY1935 ) )
| ( SV251
= ( c_List_Olist_ONil @ SY1935 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1675,plain,
! [SV252: $i] :
( ( ! [SY1936: $i,SY1937: $i] :
( ( c_in @ SV252 @ ( c_Message_Oanalz @ SY1936 ) @ tc_Message_Omsg )
| ~ ( c_in @ SY1937 @ ( c_Message_Oanalz @ SY1936 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV252 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY1937 @ SY1936 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1676,plain,
! [SV253: $i] :
( ( ! [SY1938: $i] : ( c_lessequals @ ( c_Event_OinitState @ SV253 ) @ ( c_Event_Oknows @ SV253 @ SY1938 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1185]) ).
thf(1677,plain,
! [SV254: $i] :
( ( ! [SY1939: $i] :
( SV254
= ( c_List_Orev @ ( c_List_Orev @ SV254 @ SY1939 ) @ SY1939 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1186]) ).
thf(1678,plain,
! [SV255: $i] :
( ( ! [SY1940: $i] :
( ( c_List_Orev @ ( c_List_Orev @ SV255 @ SY1940 ) @ SY1940 )
= SV255 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1679,plain,
! [SV256: $i] :
( ( ! [SY1941: $i] :
( ( c_List_Orev @ ( c_List_Orev @ SV256 @ SY1941 ) @ SY1941 )
= SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1188]) ).
thf(1680,plain,
! [SV257: $i] :
( ( ! [SY1942: $i,SY1943: $i,SY1944: $i,SY1945: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ ( c_List_Oappend @ SY1942 @ ( c_List_Olist_OCons @ SY1943 @ SY1944 @ SY1945 ) @ SY1945 ) @ SY1945 ) @ ( c_List_Oset @ ( c_List_Oappend @ SY1942 @ ( c_List_Olist_OCons @ SY1943 @ SY1944 @ SY1945 ) @ SY1945 ) @ SY1945 ) @ SY1945 )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ SY1942 @ SY1945 ) @ ( c_List_Oset @ SY1942 @ SY1945 ) @ SY1945 )
| ~ ( hBOOL @ ( hAPP @ SV257 @ SY1943 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1189]) ).
thf(1681,plain,
! [SV258: $i] :
( ( ! [SY1946: $i,SY1947: $i] :
( ( c_List_Orev @ ( c_List_Oreplicate @ SV258 @ SY1946 @ SY1947 ) @ SY1947 )
= ( c_List_Oreplicate @ SV258 @ SY1946 @ SY1947 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1682,plain,
! [SV259: $i] :
( ( ! [SY1948: $i] :
( ( ( c_List_Ohd @ ( c_List_Orev @ SV259 @ SY1948 ) @ SY1948 )
= ( c_List_Olast @ SV259 @ SY1948 ) )
| ( SV259
= ( c_List_Olist_ONil @ SY1948 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1191]) ).
thf(1683,plain,
! [SV260: $i] :
( ( ! [SY1949: $i,SY1950: $i,SY1951: $i,SY1952: $i] :
( ( ( c_List_OtakeWhile @ SV260 @ ( c_List_Oappend @ SY1949 @ SY1950 @ SY1951 ) @ SY1951 )
= ( c_List_OtakeWhile @ SV260 @ SY1949 @ SY1951 ) )
| ( hBOOL @ ( hAPP @ SV260 @ SY1952 ) )
| ~ ( c_in @ SY1952 @ ( c_List_Oset @ SY1949 @ SY1951 ) @ SY1951 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1192]) ).
thf(1684,plain,
! [SV261: $i] :
( ( ! [SY1953: $i,SY1954: $i] :
( ( c_in @ SV261 @ ( c_Message_Oanalz @ SY1953 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ SY1954 @ ( c_Message_Oanalz @ SY1953 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV261 @ ( c_Message_Oanalz @ SY1954 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1685,plain,
! [SV262: $i] :
( ( c_lessequals @ SV262 @ ( c_Message_Oanalz @ SV262 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1686,plain,
! [SV263: $i] :
( ( ! [SY1955: $i] :
( ( c_lessequals @ SV263 @ ( c_Message_Oanalz @ SY1955 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV263 ) @ ( c_Message_Oanalz @ SY1955 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1195]) ).
thf(1687,plain,
! [SV264: $i] :
( ( ! [SY1956: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ SV264 ) @ ( c_Message_Oanalz @ SY1956 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV264 @ ( c_Message_Oanalz @ SY1956 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1688,plain,
! [SV265: $i] :
( ( ! [SY1957: $i,SY1958: $i,SY1959: $i,SY1960: $i,SY1961: $i] :
( ~ ( class_Orderings_Olinorder @ SV265 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SY1957 @ SY1958 @ ( c_List_Olist_OCons @ SY1959 @ SY1960 @ SY1961 ) @ SY1961 @ SV265 )
= ( c_List_Olist_OCons @ SY1959 @ ( c_List_Olinorder__class_Oinsort__key @ SY1957 @ SY1958 @ SY1960 @ SY1961 @ SV265 ) @ SY1961 ) )
| ( c_lessequals @ ( hAPP @ SY1957 @ SY1958 ) @ ( hAPP @ SY1957 @ SY1959 ) @ SV265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1199]) ).
thf(1689,plain,
! [SV266: $i] :
( ( ! [SY1962: $i,SY1963: $i,SY1964: $i] :
( ( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV266 @ SY1962 @ SY1963 ) @ SY1964 @ SY1963 )
= ( c_List_Olist_OCons @ SV266 @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SY1964 @ SY1963 ) @ ( c_List_Osplice @ SY1962 @ ( c_List_Otl @ SY1964 @ SY1963 ) @ SY1963 ) @ SY1963 ) @ SY1963 ) )
| ( SY1964
= ( c_List_Olist_ONil @ SY1963 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1200]) ).
thf(1690,plain,
! [SV267: $i] :
( ( ! [SY1965: $i] :
( ( c_List_Oset @ ( c_List_Orev @ SV267 @ SY1965 ) @ SY1965 )
= ( c_List_Oset @ SV267 @ SY1965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1691,plain,
! [SV268: $i] :
( ( ! [SY1966: $i,SY1967: $i] :
( ( SV268 = SY1966 )
| ~ ( c_lessequals @ SY1966 @ SV268 @ ( tc_fun @ SY1967 @ tc_bool ) )
| ~ ( c_lessequals @ SV268 @ SY1966 @ ( tc_fun @ SY1967 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1692,plain,
! [SV269: $i] :
( ( ! [SY1968: $i,SY1969: $i] :
( ( SV269 = SY1968 )
| ~ ( c_lessequals @ SY1968 @ SV269 @ ( tc_fun @ SY1969 @ tc_bool ) )
| ~ ( c_lessequals @ SV269 @ SY1968 @ ( tc_fun @ SY1969 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1693,plain,
! [SV270: $i] :
( ( ! [SY1970: $i,SY1971: $i] :
( ~ ( class_Orderings_Oorder @ SV270 )
| ( SY1970 = SY1971 )
| ~ ( c_lessequals @ SY1971 @ SY1970 @ SV270 )
| ~ ( c_lessequals @ SY1970 @ SY1971 @ SV270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1694,plain,
! [SV271: $i] :
( ( ! [SY1972: $i,SY1973: $i] :
( ~ ( class_Orderings_Oorder @ SV271 )
| ( SY1972 = SY1973 )
| ~ ( c_lessequals @ SY1973 @ SY1972 @ SV271 )
| ~ ( c_lessequals @ SY1972 @ SY1973 @ SV271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1205]) ).
thf(1695,plain,
! [SV272: $i] :
( ( ! [SY1974: $i,SY1975: $i] :
( ~ ( class_Orderings_Oorder @ SV272 )
| ( SY1974 = SY1975 )
| ~ ( c_lessequals @ SY1974 @ SY1975 @ SV272 )
| ~ ( c_lessequals @ SY1975 @ SY1974 @ SV272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1206]) ).
thf(1696,plain,
! [SV273: $i] :
( ( ! [SY1976: $i,SY1977: $i,SY1978: $i] :
( ( SV273 = SY1976 )
| ~ ( c_in @ SV273 @ ( c_List_Oset @ ( c_List_Oreplicate @ SY1977 @ SY1976 @ SY1978 ) @ SY1978 ) @ SY1978 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1210]) ).
thf(1697,plain,
! [SV274: $i] :
( ( ! [SY1979: $i] :
( ( c_List_Oset @ ( c_List_Orotate1 @ SV274 @ SY1979 ) @ SY1979 )
= ( c_List_Oset @ SV274 @ SY1979 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1211]) ).
thf(1698,plain,
! [SV275: $i] :
( ( ! [SY1980: $i,SY1981: $i,SY1982: $i,SY1983: $i] :
( ~ ( class_Orderings_Olinorder @ SV275 )
| ( ( c_List_Oset @ ( c_List_Olinorder__class_Oinsort__key @ SY1980 @ SY1981 @ SY1982 @ SY1983 @ SV275 ) @ SY1983 )
= ( c_Set_Oinsert @ SY1981 @ ( c_List_Oset @ SY1982 @ SY1983 ) @ SY1983 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1212]) ).
thf(1699,plain,
! [SV276: $i] :
( ( ! [SY1984: $i,SY1985: $i,SY1986: $i] :
( ~ ( class_Orderings_Olinorder @ SV276 )
| ( c_lessequals @ SY1984 @ SY1985 @ SV276 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1984 @ ( c_List_Olist_OCons @ SY1985 @ SY1986 @ SV276 ) @ SV276 ) @ SV276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1700,plain,
! [SV277: $i] :
( ( ! [SY1987: $i,SY1988: $i] : ( c_lessequals @ ( c_List_Oset @ SV277 @ SY1987 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY1988 @ SV277 @ SY1987 ) @ SY1987 ) @ ( tc_fun @ SY1987 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1215]) ).
thf(1701,plain,
! [SV278: $i] :
( ( ! [SY1989: $i,SY1990: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV278 @ SY1989 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SY1989 ) )
| ~ ( c_lessequals @ SY1990 @ SY1989 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV278 @ ( c_Message_Oanalz @ SY1990 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1216]) ).
thf(1702,plain,
! [SV279: $i] :
( ( ! [SY1991: $i,SY1992: $i,SY1993: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV279 @ SY1991 @ SY1992 ) @ SY1993 @ ( tc_fun @ SY1992 @ tc_bool ) )
| ~ ( c_lessequals @ SY1991 @ SY1993 @ ( tc_fun @ SY1992 @ tc_bool ) )
| ~ ( c_in @ SV279 @ SY1993 @ SY1992 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1217]) ).
thf(1703,plain,
! [SV280: $i] :
( ( ! [SY1994: $i] :
( ( c_in @ SV280 @ ( c_Message_Oanalz @ SY1994 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV280 @ SY1994 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1704,plain,
! [SV281: $i] :
( ( ! [SY1995: $i,SY1996: $i,SY1997: $i,SY1998: $i] :
( ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ ( c_List_Oappend @ SY1995 @ ( c_List_Olist_OCons @ SY1996 @ SY1997 @ SY1998 ) @ SY1998 ) @ SY1998 ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ SY1997 @ SY1998 ) @ ( c_List_Oset @ SY1997 @ SY1998 ) @ SY1998 )
| ~ ( hBOOL @ ( hAPP @ SV281 @ SY1996 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1705,plain,
! [SV282: $i] :
( ( ! [SY1999: $i,SY2000: $i,SY2001: $i] :
( ~ ( class_Orderings_Olinorder @ SV282 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1999 @ ( c_List_Olist_OCons @ SY2000 @ SY2001 @ SV282 ) @ SV282 ) @ SV282 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2000 @ SY2001 @ SV282 ) @ SV282 )
| ~ ( c_lessequals @ SY1999 @ SY2000 @ SV282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1706,plain,
! [SV283: $i] :
( ( ! [SY2002: $i,SY2003: $i,SY2004: $i,SY2005: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ ( c_List_Oappend @ SY2002 @ ( c_List_Olist_OCons @ SY2003 @ SY2004 @ SY2005 ) @ SY2005 ) @ SY2005 ) @ ( c_List_Oset @ ( c_List_Oappend @ SY2002 @ ( c_List_Olist_OCons @ SY2003 @ SY2004 @ SY2005 ) @ SY2005 ) @ SY2005 ) @ SY2005 )
| ( hBOOL @ ( hAPP @ SV283 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ SY2002 @ SY2005 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV283 @ SY2003 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1707,plain,
! [SV284: $i] :
( ( ! [SY2006: $i,SY2007: $i,SY2008: $i] :
( ~ ( class_Orderings_Oorder @ SV284 )
| ( c_lessequals @ SY2006 @ SY2007 @ SV284 )
| ~ ( c_lessequals @ SY2006 @ SY2008 @ SV284 )
| ~ ( c_lessequals @ SY2008 @ SY2007 @ SV284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1708,plain,
! [SV285: $i] :
( ( ! [SY2009: $i,SY2010: $i,SY2011: $i] :
( ~ ( class_Orderings_Opreorder @ SV285 )
| ( c_lessequals @ SY2009 @ SY2010 @ SV285 )
| ~ ( c_lessequals @ SY2011 @ SY2010 @ SV285 )
| ~ ( c_lessequals @ SY2009 @ SY2011 @ SV285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1709,plain,
! [SV286: $i] :
( ( ! [SY2012: $i,SY2013: $i,SY2014: $i] :
( ( c_in @ SV286 @ SY2012 @ SY2013 )
| ~ ( c_in @ SV286 @ SY2014 @ SY2013 )
| ~ ( c_lessequals @ SY2014 @ SY2012 @ ( tc_fun @ SY2013 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1710,plain,
! [SV287: $i] :
( ( ! [SY2015: $i,SY2016: $i,SY2017: $i] :
( ( c_in @ SV287 @ SY2015 @ SY2016 )
| ~ ( c_in @ SV287 @ SY2017 @ SY2016 )
| ~ ( c_lessequals @ SY2017 @ SY2015 @ ( tc_fun @ SY2016 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1711,plain,
! [SV288: $i] :
( ( ! [SY2018: $i] : ( c_lessequals @ SV288 @ SV288 @ ( tc_fun @ SY2018 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1227]) ).
thf(1712,plain,
! [SV289: $i] :
( ( ! [SY2019: $i,SY2020: $i,SY2021: $i] :
( ( c_in @ SV289 @ SY2019 @ SY2020 )
| ~ ( c_lessequals @ SY2021 @ SY2019 @ ( tc_fun @ SY2020 @ tc_bool ) )
| ~ ( c_in @ SV289 @ SY2021 @ SY2020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1228]) ).
thf(1713,plain,
! [SV290: $i] :
( ( ! [SY2022: $i,SY2023: $i,SY2024: $i] :
( ( c_in @ SV290 @ SY2022 @ SY2023 )
| ~ ( c_in @ SV290 @ SY2024 @ SY2023 )
| ~ ( c_lessequals @ SY2024 @ SY2022 @ ( tc_fun @ SY2023 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1229]) ).
thf(1714,plain,
! [SV291: $i] :
( ( ! [SY2025: $i] : ( c_lessequals @ SV291 @ SV291 @ ( tc_fun @ SY2025 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1230]) ).
thf(1715,plain,
! [SV292: $i] :
( ( ! [SY2026: $i,SY2027: $i,SY2028: $i] :
( ( c_lessequals @ SV292 @ SY2026 @ ( tc_fun @ SY2027 @ tc_bool ) )
| ~ ( c_lessequals @ SY2028 @ SY2026 @ ( tc_fun @ SY2027 @ tc_bool ) )
| ~ ( c_lessequals @ SV292 @ SY2028 @ ( tc_fun @ SY2027 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1231]) ).
thf(1716,plain,
! [SV293: $i] :
( ( ! [SY2029: $i,SY2030: $i,SY2031: $i] :
( ( hBOOL @ ( hAPP @ SV293 @ SY2029 ) )
| ~ ( hBOOL @ ( hAPP @ SY2030 @ SY2029 ) )
| ~ ( c_lessequals @ SY2030 @ SV293 @ ( tc_fun @ SY2031 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1232]) ).
thf(1717,plain,
! [SV294: $i] :
( ( ! [SY2032: $i] :
( ~ ( class_Orderings_Oorder @ SV294 )
| ( c_lessequals @ SY2032 @ SY2032 @ SV294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1233]) ).
thf(1718,plain,
! [SV295: $i] :
( ( ! [SY2033: $i] :
( ~ ( class_Orderings_Opreorder @ SV295 )
| ( c_lessequals @ SY2033 @ SY2033 @ SV295 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1234]) ).
thf(1719,plain,
! [SV296: $i] :
( ( ! [SY2034: $i,SY2035: $i,SY2036: $i] :
( ( hBOOL @ ( hAPP @ SV296 @ SY2034 ) )
| ~ ( c_lessequals @ SY2035 @ SV296 @ ( tc_fun @ SY2036 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY2035 @ SY2034 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1235]) ).
thf(1720,plain,
! [SV297: $i] :
( ( ! [SY2037: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ SV297 ) @ ( c_Message_Oanalz @ SY2037 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV297 @ SY2037 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1236]) ).
thf(1721,plain,
! [SV298: $i] :
( ( ! [SY2038: $i,SY2039: $i] :
( ( c_in @ SV298 @ ( c_List_Oset @ SY2038 @ SY2039 ) @ SY2039 )
| ~ ( c_in @ SV298 @ ( c_List_Oset @ ( c_List_Obutlast @ SY2038 @ SY2039 ) @ SY2039 ) @ SY2039 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1722,plain,
! [SV299: $i] :
( ( ! [SY2040: $i,SY2041: $i,SY2042: $i,SY2043: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ ( c_List_Oappend @ SY2040 @ ( c_List_Olist_OCons @ SY2041 @ SY2042 @ SY2043 ) @ SY2043 ) @ SY2043 ) @ ( c_List_Oset @ ( c_List_Oappend @ SY2040 @ ( c_List_Olist_OCons @ SY2041 @ SY2042 @ SY2043 ) @ SY2043 ) @ SY2043 ) @ SY2043 )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ SY2042 @ SY2043 ) @ ( c_List_Oset @ SY2042 @ SY2043 ) @ SY2043 )
| ~ ( hBOOL @ ( hAPP @ SV299 @ SY2041 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1723,plain,
! [SV300: $i] :
( ( ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV300 ) )
= ( c_Message_Oanalz @ SV300 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1724,plain,
! [SV301: $i] :
( ( ! [SY2044: $i] : ( c_lessequals @ ( c_Set_Oinsert @ SV301 @ ( c_Message_Oanalz @ SY2044 ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV301 @ SY2044 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1725,plain,
! [SV302: $i] :
( ( ! [SY2045: $i,SY2046: $i] :
( ~ ( class_Orderings_Olinorder @ SV302 )
| ( c_lessequals @ SY2045 @ SY2046 @ SV302 )
| ( c_lessequals @ SY2046 @ SY2045 @ SV302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1726,plain,
! [SV303: $i] :
( ( ! [SY2047: $i,SY2048: $i] :
( ( hBOOL @ ( hAPP @ SV303 @ SY2047 ) )
| ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Oappend @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV303 @ SY2048 ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__induct__1__1 @ SV303 @ SY2048 ) @ ( c_List_Olist_ONil @ SY2048 ) @ SY2048 ) @ SY2048 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ SY2048 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1727,plain,
! [SV304: $i] :
( ( ! [SY2049: $i] :
( ( SV304
= ( c_List_Oappend @ ( c_List_Osko__List__Xrev__cases__1__1 @ SV304 @ SY2049 ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__cases__1__2 @ SV304 @ SY2049 ) @ ( c_List_Olist_ONil @ SY2049 ) @ SY2049 ) @ SY2049 ) )
| ( SV304
= ( c_List_Olist_ONil @ SY2049 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1728,plain,
! [SV305: $i] :
( ( ! [SY2050: $i] :
( ( ( c_List_Oappend @ ( c_List_Obutlast @ SV305 @ SY2050 ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ SV305 @ SY2050 ) @ ( c_List_Olist_ONil @ SY2050 ) @ SY2050 ) @ SY2050 )
= SV305 )
| ( SV305
= ( c_List_Olist_ONil @ SY2050 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1729,plain,
! [SV306: $i] :
( ( ! [SY2051: $i,SY2052: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV306 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2051 @ SY2052 ) @ SV306 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1730,plain,
! [SV307: $i] :
( ( ! [SY2053: $i,SY2054: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV307 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY2053 @ SY2054 ) @ SV307 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1731,plain,
! [SV308: $i] :
( ( ! [SY2055: $i,SY2056: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ SV308 @ SY2055 @ SY2056 ) @ SY2056 )
= ( c_Set_Oinsert @ SV308 @ ( c_List_Oset @ SY2055 @ SY2056 ) @ SY2056 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1732,plain,
! [SV309: $i] :
( ( ! [SY2057: $i,SY2058: $i,SY2059: $i] :
( ~ ( class_Orderings_Olinorder @ SV309 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SY2057 @ SY2058 @ ( c_List_Olist_ONil @ SY2059 ) @ SY2059 @ SV309 )
= ( c_List_Olist_OCons @ SY2058 @ ( c_List_Olist_ONil @ SY2059 ) @ SY2059 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1733,plain,
! [SV310: $i] :
( ( ! [SY2060: $i,SY2061: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV310 @ SY2060 @ SY2061 ) @ SY2061 )
= ( c_List_Olist_OCons @ SV310 @ ( c_List_Obutlast @ SY2060 @ SY2061 ) @ SY2061 ) )
| ( SY2060
= ( c_List_Olist_ONil @ SY2061 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1251]) ).
thf(1734,plain,
! [SV311: $i] :
( ( ! [SY2062: $i] :
( ( c_List_Olast @ ( c_List_Olist_OCons @ SV311 @ ( c_List_Olist_ONil @ SY2062 ) @ SY2062 ) @ SY2062 )
= SV311 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1252]) ).
thf(1735,plain,
! [SV312: $i] :
( ( ! [SY2063: $i] :
( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV312 @ ( c_List_Olist_ONil @ SY2063 ) @ SY2063 ) @ SY2063 )
= ( c_List_Olist_ONil @ SY2063 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1736,plain,
! [SV313: $i] :
( ( ! [SY2064: $i,SY2065: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV313 @ SY2064 @ SY2065 ) @ ( c_List_Olist_ONil @ SY2065 ) @ SY2065 )
= ( c_List_Olist_OCons @ SV313 @ SY2064 @ SY2065 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1737,plain,
! [SV314: $i] :
( ( ! [SY2066: $i,SY2067: $i,SY2068: $i] :
( ( ( c_List_OtakeWhile @ SV314 @ ( c_List_Olist_OCons @ SY2066 @ SY2067 @ SY2068 ) @ SY2068 )
= ( c_List_Olist_ONil @ SY2068 ) )
| ( hBOOL @ ( hAPP @ SV314 @ SY2066 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1738,plain,
! [SV315: $i] :
( ( ! [SY2069: $i] :
( ( c_List_Orev @ ( c_List_Olist_OCons @ SV315 @ ( c_List_Olist_ONil @ SY2069 ) @ SY2069 ) @ SY2069 )
= ( c_List_Olist_OCons @ SV315 @ ( c_List_Olist_ONil @ SY2069 ) @ SY2069 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1739,plain,
! [SV316: $i] :
( ( ! [SY2070: $i,SY2071: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV316 @ SY2070 @ SY2071 ) @ SY2071 )
= ( c_List_Olast @ SY2070 @ SY2071 ) )
| ( SY2070
= ( c_List_Olist_ONil @ SY2071 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1740,plain,
! [SV317: $i] :
( ( ! [SY2072: $i] :
( ( c_List_Olist_OCons @ SV317 @ ( c_List_Olist_ONil @ SY2072 ) @ SY2072 )
= ( c_List_Orev @ ( c_List_Olist_OCons @ SV317 @ ( c_List_Olist_ONil @ SY2072 ) @ SY2072 ) @ SY2072 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1741,plain,
! [SV318: $i] :
( ( ! [SY2073: $i] :
( ~ ( class_Orderings_Olinorder @ SV318 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2073 @ ( c_List_Olist_ONil @ SV318 ) @ SV318 ) @ SV318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1742,plain,
! [SV319: $i] :
( ( ! [SY2074: $i,SY2075: $i,SY2076: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV319 @ SY2074 @ SY2075 ) @ ( c_List_Olist_OCons @ SY2074 @ SY2076 @ SY2075 ) @ SY2075 )
= ( c_List_Olist_OCons @ SY2074 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV319 @ SY2074 @ SY2075 ) @ SY2076 @ SY2075 ) @ SY2075 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1743,plain,
! [SV320: $i] :
( ( ! [SY2077: $i,SY2078: $i,SY2079: $i,SY2080: $i] :
( ( ( c_List_OtakeWhile @ SV320 @ ( c_List_Oappend @ SY2077 @ ( c_List_Olist_OCons @ SY2078 @ SY2079 @ SY2080 ) @ SY2080 ) @ SY2080 )
= ( c_List_OtakeWhile @ SV320 @ SY2077 @ SY2080 ) )
| ( hBOOL @ ( hAPP @ SV320 @ SY2078 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1744,plain,
! [SV321: $i] :
( ( ! [SY2081: $i,SY2082: $i,SY2083: $i,SY2084: $i] :
( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ ( c_List_Oappend @ SY2081 @ ( c_List_Olist_OCons @ SY2082 @ SY2083 @ SY2084 ) @ SY2084 ) @ SY2084 ) ) )
| ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ SY2081 @ SY2084 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV321 @ SY2082 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1745,plain,
! [SV322: $i] :
( ( ! [SY2085: $i,SY2086: $i,SY2087: $i,SY2088: $i] :
( ( c_List_Oconcat__map @ SV322 @ ( c_List_Olist_OCons @ SY2085 @ SY2086 @ SY2087 ) @ SY2087 @ SY2088 )
= ( c_List_Oappend @ ( hAPP @ SV322 @ SY2085 ) @ ( c_List_Oconcat__map @ SV322 @ SY2086 @ SY2087 @ SY2088 ) @ SY2088 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1746,plain,
! [SV323: $i] :
( ( ! [SY2089: $i,SY2090: $i,SY2091: $i,SY2092: $i] :
( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ ( c_List_Oappend @ SY2089 @ ( c_List_Olist_OCons @ SY2090 @ SY2091 @ SY2092 ) @ SY2092 ) @ SY2092 ) ) )
| ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ SY2091 @ SY2092 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV323 @ SY2090 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1747,plain,
! [SV324: $i] :
( ( ! [SY2093: $i,SY2094: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV324 @ SY2093 @ SY2094 ) @ SY2094 )
= ( c_List_Oappend @ SV324 @ ( c_List_Obutlast @ SY2093 @ SY2094 ) @ SY2094 ) )
| ( SY2093
= ( c_List_Olist_ONil @ SY2094 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1748,plain,
! [SV325: $i] :
( ( ! [SY2095: $i] :
( ( c_List_Ohd @ ( c_List_Oappend @ ( c_List_Olist_ONil @ SV325 ) @ SY2095 @ SV325 ) @ SV325 )
= ( c_List_Ohd @ SY2095 @ SV325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1749,plain,
! [SV326: $i] :
( ( ! [SY2096: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ SV326 @ ( c_List_Olist_ONil @ SY2096 ) @ SY2096 ) @ SY2096 )
= ( c_List_Olast @ SV326 @ SY2096 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1273]) ).
thf(1750,plain,
! [SV327: $i] :
( ( ! [SY2097: $i,SY2098: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV327 @ SY2097 @ SY2098 ) @ SY2098 )
= ( c_List_Olast @ SY2097 @ SY2098 ) )
| ( SY2097
= ( c_List_Olist_ONil @ SY2098 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1751,plain,
! [SV328: $i] :
( ( ! [SY2099: $i,SY2100: $i] :
( ( ( c_List_Otl @ ( c_List_Oappend @ SV328 @ SY2099 @ SY2100 ) @ SY2100 )
= ( c_List_Oappend @ ( c_List_Otl @ SV328 @ SY2100 ) @ SY2099 @ SY2100 ) )
| ( SV328
= ( c_List_Olist_ONil @ SY2100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1752,plain,
! [SV329: $i] :
( ( ! [SY2101: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ SV329 @ ( c_List_Olist_ONil @ SY2101 ) @ SY2101 ) @ SY2101 )
= ( c_List_Obutlast @ SV329 @ SY2101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1753,plain,
! [SV330: $i] :
( ( ! [SY2102: $i,SY2103: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ SV330 @ SY2102 @ SY2103 ) @ SY2103 )
= ( c_List_Ohd @ SV330 @ SY2103 ) )
| ( SV330
= ( c_List_Olist_ONil @ SY2103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1754,plain,
! [SV331: $i] :
( ( ! [SY2104: $i,SY2105: $i,SY2106: $i,SY2107: $i] :
( ~ ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2104 ) ) @ tc_Message_Omsg )
| ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2105 @ SY2106 @ SY2107 ) @ SY2104 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1278]) ).
thf(1755,plain,
! [SV332: $i] :
( ( ! [SY2108: $i,SY2109: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV332 @ SY2108 ) @ ( c_Event_Oknows @ SV332 @ ( c_List_Olist_OCons @ SY2109 @ SY2108 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1279]) ).
thf(1756,plain,
! [SV333: $i] :
( ( ( c_Event_Oknows @ SV333 @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ SV333 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1280]) ).
thf(1757,plain,
! [SV334: $i] :
( ( ! [SY2110: $i,SY2111: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ SV334 @ ( c_List_Olist_OCons @ SY2110 @ ( c_List_Olist_ONil @ SY2111 ) @ SY2111 ) @ SY2111 ) @ SY2111 )
= SY2110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1758,plain,
! [SV335: $i] :
( ( ! [SY2112: $i,SY2113: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ SV335 @ ( c_List_Olist_OCons @ SY2112 @ ( c_List_Olist_ONil @ SY2113 ) @ SY2113 ) @ SY2113 ) @ SY2113 )
= SV335 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1759,plain,
! [SV336: $i] :
( ( ! [SY2114: $i,SY2115: $i] :
( ( c_List_Orev @ ( c_List_Olist_OCons @ SV336 @ SY2114 @ SY2115 ) @ SY2115 )
= ( c_List_Oappend @ ( c_List_Orev @ SY2114 @ SY2115 ) @ ( c_List_Olist_OCons @ SV336 @ ( c_List_Olist_ONil @ SY2115 ) @ SY2115 ) @ SY2115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1760,plain,
! [SV337: $i] :
( ( ! [SY2116: $i,SY2117: $i] :
( ( c_List_Orev @ ( c_List_Oappend @ ( c_List_Orev @ SV337 @ SY2116 ) @ ( c_List_Olist_OCons @ SY2117 @ ( c_List_Olist_ONil @ SY2116 ) @ SY2116 ) @ SY2116 ) @ SY2116 )
= ( c_List_Olist_OCons @ SY2117 @ SV337 @ SY2116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1289]) ).
thf(1761,plain,
! [SV338: $i] :
( ( ! [SY2118: $i,SY2119: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ SV338 @ SY2118 @ SY2119 ) @ SY2119 )
= ( c_List_Oappend @ SY2118 @ ( c_List_Olist_OCons @ SV338 @ ( c_List_Olist_ONil @ SY2119 ) @ SY2119 ) @ SY2119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1762,plain,
! [SV339: $i] :
( ( ! [SY2120: $i,SY2121: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV339 @ SY2120 @ SY2121 ) @ ( c_List_Olist_OCons @ SY2120 @ ( c_List_Olist_ONil @ SY2121 ) @ SY2121 ) @ SY2121 )
= ( c_List_Olist_OCons @ SY2120 @ ( c_List_Oreplicate @ SV339 @ SY2120 @ SY2121 ) @ SY2121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1763,plain,
! [SV340: $i] :
( ( ! [SY2122: $i,SY2123: $i] :
( ( c_Event_Oknows @ SV340 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV340 @ SY2122 ) @ SY2123 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2122 @ ( c_Event_Oknows @ SV340 @ SY2123 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1292]) ).
thf(1764,plain,
! [SV341: $i] :
( ( ! [SY2124: $i,SY2125: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV341 @ SY2124 ) @ SY2125 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1765,plain,
! [SV342: $i] :
( ( ! [SY2126: $i,SY2127: $i,SY2128: $i,SY2129: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV342 @ SY2126 ) @ ( c_Event_Oknows @ SV342 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2127 @ SY2128 @ SY2129 ) @ SY2126 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1766,plain,
! [SV343: $i] :
( ( ! [SY2130: $i,SY2131: $i] :
( ( ( c_Event_Oknows @ SV343 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV343 @ SY2130 ) @ SY2131 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2130 @ ( c_Event_Oknows @ SV343 @ SY2131 ) @ tc_Message_Omsg ) )
| ( SV343 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1295]) ).
thf(1767,plain,
! [SV344: $i] :
( ( ! [SY2132: $i,SY2133: $i,SY2134: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV344 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2132 @ SY2133 @ SY2134 ) @ SV344 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1768,plain,
! [SV345: $i] :
( ( ! [SY2135: $i,SY2136: $i,SY2137: $i] :
( ( c_List_Oappend @ SV345 @ ( c_List_Oappend @ SY2135 @ SY2136 @ SY2137 ) @ SY2137 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV345 @ SY2135 @ SY2137 ) @ SY2136 @ SY2137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1769,plain,
! [SV346: $i] :
( ( ! [SY2138: $i,SY2139: $i,SY2140: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV346 @ SY2138 @ SY2139 ) @ SY2140 @ SY2139 )
= ( c_List_Oappend @ SV346 @ ( c_List_Oappend @ SY2138 @ SY2140 @ SY2139 ) @ SY2139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1770,plain,
! [SV347: $i] :
( ( ! [SY2141: $i,SY2142: $i,SY2143: $i] :
( ( c_List_Oappend @ SV347 @ ( c_List_Oappend @ SY2141 @ SY2142 @ SY2143 ) @ SY2143 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV347 @ SY2141 @ SY2143 ) @ SY2142 @ SY2143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1299]) ).
thf(1771,plain,
! [SV348: $i] :
( ( ! [SY2144: $i,SY2145: $i,SY2146: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV348 @ SY2144 @ SY2145 ) @ SY2146 @ SY2145 )
= ( c_List_Oappend @ SV348 @ ( c_List_Oappend @ SY2144 @ SY2146 @ SY2145 ) @ SY2145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1300]) ).
thf(1772,plain,
! [SV349: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV349 ) @ ( c_List_Olist_ONil @ SV349 ) @ SV349 )
= ( c_List_Olist_ONil @ SV349 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1301]) ).
thf(1773,plain,
! [SV350: $i] :
( ( ! [SY2147: $i,SY2148: $i,SY2149: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV350 @ SY2147 @ SY2148 ) @ SY2149 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2148 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2149 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1774,plain,
! [SV351: $i] :
( ( ! [SY2150: $i,SY2151: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV351 ) @ ( c_List_Olist_OCons @ SY2150 @ SY2151 @ SV351 ) @ SV351 )
= ( c_List_Olist_OCons @ SY2150 @ SY2151 @ SV351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1307]) ).
thf(1775,plain,
! [SV352: $i] :
( ( ! [SY2152: $i,SY2153: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV352 @ SY2152 @ SY2153 ) @ SV352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1776,plain,
! [SV353: $i] :
( ( ! [SY2154: $i,SY2155: $i,SY2156: $i] :
( ( c_Event_Oknows @ SV353 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV353 @ SY2154 @ SY2155 ) @ SY2156 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2155 @ ( c_Event_Oknows @ SV353 @ SY2156 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1777,plain,
! [SV354: $i] :
( ( ! [SY2157: $i,SY2158: $i,SY2159: $i] :
( ( hBOOL @ ( hAPP @ SV354 @ SY2157 ) )
| ( SY2158 = SY2157 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY2158 @ SV354 @ SY2159 ) @ SY2157 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1778,plain,
! [SV355: $i] :
( ( ! [SY2160: $i,SY2161: $i] :
( ( c_Set_Oinsert @ SV355 @ ( c_Set_Oinsert @ SV355 @ SY2160 @ SY2161 ) @ SY2161 )
= ( c_Set_Oinsert @ SV355 @ SY2160 @ SY2161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1779,plain,
! [SV356: $i] :
( ( ! [SY2162: $i] :
( SV356
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2162 ) @ SV356 @ SY2162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1780,plain,
! [SV357: $i] :
( ( ! [SY2163: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV357 ) @ SY2163 @ SV357 )
= SY2163 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1325]) ).
thf(1781,plain,
! [SV358: $i] :
( ( ! [SY2164: $i] :
( SV358
= ( c_List_Oappend @ SV358 @ ( c_List_Olist_ONil @ SY2164 ) @ SY2164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1782,plain,
! [SV359: $i] :
( ( ! [SY2165: $i] :
( SV359
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2165 ) @ SV359 @ SY2165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1783,plain,
! [SV360: $i] :
( ( ! [SY2166: $i] :
( ( c_List_Oappend @ SV360 @ ( c_List_Olist_ONil @ SY2166 ) @ SY2166 )
= SV360 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1784,plain,
! [SV361: $i] :
( ( ! [SY2167: $i,SY2168: $i,SY2169: $i] :
( ( c_Set_Oinsert @ SV361 @ ( c_Set_Oinsert @ SY2167 @ SY2168 @ SY2169 ) @ SY2169 )
= ( c_Set_Oinsert @ SY2167 @ ( c_Set_Oinsert @ SV361 @ SY2168 @ SY2169 ) @ SY2169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1785,plain,
! [SV362: $i] :
( ( ! [SY2170: $i,SY2171: $i,SY2172: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV362 @ SY2170 @ SY2171 ) @ SY2172 @ SY2171 )
= ( c_List_Olist_OCons @ SV362 @ ( c_List_Oappend @ SY2170 @ SY2172 @ SY2171 ) @ SY2171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1786,plain,
! [SV363: $i] :
( ( ! [SY2173: $i,SY2174: $i,SY2175: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV363 @ SY2173 @ SY2174 ) @ SY2175 @ SY2174 )
= ( c_List_Olist_OCons @ SV363 @ ( c_List_Oappend @ SY2173 @ SY2175 @ SY2174 ) @ SY2174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1787,plain,
! [SV364: $i] :
( ( ! [SY2176: $i,SY2177: $i,SY2178: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV364 @ SY2176 @ SY2177 ) @ SY2178 ) )
| ~ ( hBOOL @ ( hAPP @ SY2176 @ SY2178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1334]) ).
thf(1788,plain,
! [SV365: $i] :
( ( ! [SY2179: $i,SY2180: $i,SY2181: $i] :
( ( c_List_Olist_OCons @ SV365 @ ( c_List_Oappend @ SY2179 @ SY2180 @ SY2181 ) @ SY2181 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV365 @ SY2179 @ SY2181 ) @ SY2180 @ SY2181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1335]) ).
thf(1789,plain,
! [SV366: $i] :
( ( ! [SY2182: $i,SY2183: $i,SY2184: $i] :
( ( c_List_Olist_OCons @ SV366 @ ( c_List_Oappend @ SY2182 @ SY2183 @ SY2184 ) @ SY2184 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV366 @ SY2182 @ SY2184 ) @ SY2183 @ SY2184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1790,plain,
! [SV367: $i] :
( ( ! [SY2185: $i,SY2186: $i] :
( ( c_List_Olist_OCons @ SV367 @ SY2185 @ SY2186 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2186 ) @ ( c_List_Olist_OCons @ SV367 @ SY2185 @ SY2186 ) @ SY2186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1791,plain,
! [SV368: $i] :
( ( ( c_List_Olist_ONil @ SV368 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV368 ) @ ( c_List_Olist_ONil @ SV368 ) @ SV368 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1792,plain,
! [SV369: $i] :
( ( ! [SY2187: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ SV369 @ SY2187 ) )
| ~ ( class_Orderings_Opreorder @ SY2187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1793,plain,
! [SV370: $i] :
( ( ! [SY2188: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ SV370 @ SY2188 ) )
| ~ ( class_Orderings_Oorder @ SY2188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1794,plain,
! [SV371: $i] :
( ( ! [SY2189: $i] :
( ( class_HOL_Oord @ ( tc_fun @ SV371 @ SY2189 ) )
| ~ ( class_HOL_Oord @ SY2189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1795,plain,
! [SV372: $i] :
( ( ! [SY2190: $i] : ( c_fequal @ SV372 @ SV372 @ SY2190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1796,plain,
! [SV373: $i] :
( ( ! [SY2191: $i,SY2192: $i] :
( ( SV373 = SY2191 )
| ~ ( c_fequal @ SV373 @ SY2191 @ SY2192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1354]) ).
thf(1797,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1798,plain,
! [SV374: $i] :
( ( ! [SY2193: $i,SY2194: $i,SY2195: $i] :
( ( ( c_List_Oappend @ SV374 @ SY2193 @ SY2194 )
!= ( c_List_Oappend @ SV374 @ SY2195 @ SY2194 ) )
| ( SY2193 = SY2195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1799,plain,
! [SV375: $i] :
( ( ! [SY2196: $i,SY2197: $i,SY2198: $i] :
( ( c_Event_Oevent_ONotes @ SV375 @ SY2196 )
!= ( c_Event_Oevent_OGets @ SY2197 @ SY2198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1357]) ).
thf(1800,plain,
! [SV376: $i] :
( ( ! [SY2199: $i,SY2200: $i] :
( ( ( c_List_Olist_ONil @ SV376 )
!= ( c_List_Oappend @ SY2199 @ SY2200 @ SV376 ) )
| ( SY2199
= ( c_List_Olist_ONil @ SV376 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1801,plain,
! [SV377: $i] :
( ( ! [SY2201: $i,SY2202: $i] :
( ( ( c_List_Orev @ SV377 @ SY2201 )
!= ( c_List_Orev @ SY2202 @ SY2201 ) )
| ( SV377 = SY2202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1802,plain,
! [SV378: $i] :
( ( ! [SY2203: $i,SY2204: $i,SY2205: $i,SY2206: $i] :
( ( ( c_List_Olist_OCons @ SV378 @ SY2203 @ SY2204 )
!= ( c_List_Olist_OCons @ SY2205 @ SY2206 @ SY2204 ) )
| ( SY2203 = SY2206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1803,plain,
! [SV379: $i] :
( ( ! [SY2207: $i,SY2208: $i,SY2209: $i,SY2210: $i] :
( ( c_Event_Oevent_OSays @ SV379 @ SY2207 @ SY2208 )
!= ( c_Event_Oevent_OGets @ SY2209 @ SY2210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1361]) ).
thf(1804,plain,
! [SV380: $i] :
( ( ! [SY2211: $i,SY2212: $i,SY2213: $i,SY2214: $i] :
( ( ( c_List_Ofilter @ SV380 @ SY2211 @ SY2212 )
!= ( c_List_Olist_OCons @ SY2213 @ SY2214 @ SY2212 ) )
| ( hBOOL @ ( hAPP @ SV380 @ SY2213 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1805,plain,
! [SV381: $i] :
( ( ! [SY2215: $i,SY2216: $i,SY2217: $i] :
( ( ( c_List_Ofilter @ SV381 @ SY2215 @ SY2216 )
!= SY2215 )
| ( hBOOL @ ( hAPP @ SV381 @ SY2217 ) )
| ~ ( c_in @ SY2217 @ ( c_List_Oset @ SY2215 @ SY2216 ) @ SY2216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1363]) ).
thf(1806,plain,
! [SV382: $i] :
( ( ! [SY2218: $i,SY2219: $i] :
( ( ( c_List_Oappend @ SV382 @ SY2218 @ SY2219 )
!= ( c_List_Olist_ONil @ SY2219 ) )
| ( SY2218
= ( c_List_Olist_ONil @ SY2219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1807,plain,
! [SV383: $i] :
( ( ! [SY2220: $i] :
( ( ( c_List_Olist_ONil @ SV383 )
!= ( c_List_Orev @ SY2220 @ SV383 ) )
| ( SY2220
= ( c_List_Olist_ONil @ SV383 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1365]) ).
thf(1808,plain,
! [SV384: $i] :
( ( ! [SY2221: $i,SY2222: $i,SY2223: $i,SY2224: $i] :
( ( ( c_List_Olist_OCons @ SV384 @ SY2221 @ SY2222 )
!= ( c_List_Ofilter @ SY2223 @ SY2224 @ SY2222 ) )
| ( hBOOL @ ( hAPP @ SY2223 @ SV384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1809,plain,
! [SV385: $i] :
( ( ! [SY2225: $i,SY2226: $i,SY2227: $i] :
( ( c_Event_Oevent_OGets @ SV385 @ SY2225 )
!= ( c_Event_Oevent_ONotes @ SY2226 @ SY2227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1810,plain,
! [SV386: $i] :
( ( ! [SY2228: $i,SY2229: $i] :
( ~ ( class_Orderings_Olinorder @ SV386 )
| ( ( c_List_Oset @ SY2228 @ SV386 )
!= ( c_List_Oset @ SY2229 @ SV386 ) )
| ~ ( c_List_Odistinct @ SY2229 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2229 @ SV386 )
| ~ ( c_List_Odistinct @ SY2228 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2228 @ SV386 )
| ( SY2228 = SY2229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1811,plain,
! [SV387: $i] :
( ( ! [SY2230: $i,SY2231: $i,SY2232: $i,SY2233: $i] :
( ( c_Event_Oevent_ONotes @ SV387 @ SY2230 )
!= ( c_Event_Oevent_OSays @ SY2231 @ SY2232 @ SY2233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1812,plain,
! [SV388: $i] :
( ( ! [SY2234: $i,SY2235: $i,SY2236: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV388 @ SY2234 )
!= ( c_Message_Omsg_OCrypt @ SY2235 @ SY2236 ) )
| ( SV388 = SY2235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1813,plain,
! [SV389: $i] :
( ( ! [SY2237: $i,SY2238: $i,SY2239: $i,SY2240: $i] :
( ( c_Event_Oevent_OGets @ SV389 @ SY2237 )
!= ( c_Event_Oevent_OSays @ SY2238 @ SY2239 @ SY2240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(1814,plain,
! [SV390: $i] :
( ( ! [SY2241: $i] :
( ( ( c_Public_OshrK @ SV390 )
!= ( c_Public_OshrK @ SY2241 ) )
| ( SV390 = SY2241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1815,plain,
! [SV391: $i] :
( ( ! [SY2242: $i,SY2243: $i,SY2244: $i,SY2245: $i] :
( ( ( c_List_Olist_OCons @ SV391 @ SY2242 @ SY2243 )
!= ( c_List_Oappend @ SY2244 @ SY2245 @ SY2243 ) )
| ( SY2242
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV391 @ SY2242 @ SY2244 @ SY2245 @ SY2243 ) @ SY2245 @ SY2243 ) )
| ( SY2244
= ( c_List_Olist_ONil @ SY2243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1816,plain,
! [SV392: $i] :
( ( ! [SY2246: $i,SY2247: $i,SY2248: $i,SY2249: $i] :
( ( ( c_List_Oappend @ SV392 @ ( c_List_Olist_OCons @ SY2246 @ ( c_List_Olist_ONil @ SY2247 ) @ SY2247 ) @ SY2247 )
!= ( c_List_Oappend @ SY2248 @ ( c_List_Olist_OCons @ SY2249 @ ( c_List_Olist_ONil @ SY2247 ) @ SY2247 ) @ SY2247 ) )
| ( SY2246 = SY2249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1817,plain,
! [SV393: $i] :
( ( ! [SY2250: $i,SY2251: $i,SY2252: $i,SY2253: $i,SY2254: $i] :
( ( ( c_Event_Oevent_OSays @ SV393 @ SY2250 @ SY2251 )
!= ( c_Event_Oevent_OSays @ SY2252 @ SY2253 @ SY2254 ) )
| ( SY2251 = SY2254 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1375]) ).
thf(1818,plain,
! [SV394: $i] :
( ( ! [SY2255: $i,SY2256: $i,SY2257: $i,SY2258: $i] :
( ( ( c_List_Oappend @ SV394 @ SY2255 @ SY2256 )
!= ( c_List_Olist_OCons @ SY2257 @ SY2258 @ SY2256 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY2257 @ SY2258 @ SV394 @ SY2255 @ SY2256 ) @ SY2255 @ SY2256 )
= SY2258 )
| ( SY2255
= ( c_List_Olist_OCons @ SY2257 @ SY2258 @ SY2256 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1819,plain,
! [SV395: $i] :
( ( ! [SY2259: $i,SY2260: $i,SY2261: $i] :
( ( ( c_List_Olist__update @ SV395 @ SY2259 @ SY2260 @ SY2261 )
!= ( c_List_Olist_ONil @ SY2261 ) )
| ( SV395
= ( c_List_Olist_ONil @ SY2261 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1377]) ).
thf(1820,plain,
! [SV396: $i] :
( ( ! [SY2262: $i,SY2263: $i,SY2264: $i,SY2265: $i] :
( ( ( c_List_Olist_OCons @ SV396 @ SY2262 @ SY2263 )
!= ( c_List_Oappend @ SY2264 @ SY2265 @ SY2263 ) )
| ( ( c_List_Olist_OCons @ SV396 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV396 @ SY2262 @ SY2264 @ SY2265 @ SY2263 ) @ SY2263 )
= SY2264 )
| ( ( c_List_Olist_OCons @ SV396 @ SY2262 @ SY2263 )
= SY2265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1821,plain,
! [SV397: $i] :
( ( ! [SY2266: $i,SY2267: $i] :
( ( SV397
!= ( c_List_Oappend @ SV397 @ SY2266 @ SY2267 ) )
| ( SY2266
= ( c_List_Olist_ONil @ SY2267 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1822,plain,
! [SV398: $i] :
( ( ! [SY2268: $i,SY2269: $i,SY2270: $i] :
( ( ( c_List_Ofilter @ SV398 @ SY2268 @ SY2269 )
!= ( c_List_Olist_ONil @ SY2269 ) )
| ~ ( hBOOL @ ( hAPP @ SV398 @ SY2270 ) )
| ~ ( c_in @ SY2270 @ ( c_List_Oset @ SY2268 @ SY2269 ) @ SY2269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1823,plain,
! [SV399: $i] :
( ( ! [SY2271: $i,SY2272: $i,SY2273: $i,SY2274: $i] :
( ( ( c_List_Oreplicate @ SV399 @ SY2271 @ SY2272 )
!= ( c_List_Oreplicate @ SY2273 @ SY2274 @ SY2272 ) )
| ( SV399 = SY2273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1824,plain,
! [SV400: $i] :
( ( ! [SY2275: $i,SY2276: $i,SY2277: $i,SY2278: $i] :
( ( ( c_List_Olist_OCons @ SV400 @ SY2275 @ SY2276 )
!= ( c_List_Oappend @ SY2277 @ SY2278 @ SY2276 ) )
| ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV400 @ SY2275 @ SY2277 @ SY2278 @ SY2276 ) @ SY2276 )
= SY2277 )
| ( SY2277
= ( c_List_Olist_ONil @ SY2276 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(1825,plain,
! [SV401: $i] :
( ( ! [SY2279: $i,SY2280: $i,SY2281: $i,SY2282: $i] :
( ( ( c_List_Olist_OCons @ SV401 @ SY2279 @ SY2280 )
!= ( c_List_Oappend @ SY2281 @ SY2282 @ SY2280 ) )
| ( SY2279
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV401 @ SY2279 @ SY2281 @ SY2282 @ SY2280 ) @ SY2282 @ SY2280 ) )
| ( ( c_List_Olist_OCons @ SV401 @ SY2279 @ SY2280 )
= SY2282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1826,plain,
! [SV402: $i] :
( ( ! [SY2283: $i,SY2284: $i,SY2285: $i,SY2286: $i] :
( ( c_Event_Oevent_OSays @ SV402 @ SY2283 @ SY2284 )
!= ( c_Event_Oevent_ONotes @ SY2285 @ SY2286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(1827,plain,
! [SV403: $i] :
( ( ! [SY2287: $i,SY2288: $i] :
( ( ( c_List_Olist_OCons @ SV403 @ ( c_List_Olist_ONil @ SY2287 ) @ SY2287 )
!= ( c_List_Orev @ SY2288 @ SY2287 ) )
| ( SY2288
= ( c_List_Olist_OCons @ SV403 @ ( c_List_Olist_ONil @ SY2287 ) @ SY2287 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(1828,plain,
! [SV404: $i] :
( ( ! [SY2289: $i,SY2290: $i,SY2291: $i] :
( ( ( c_Event_Oevent_ONotes @ SV404 @ SY2289 )
!= ( c_Event_Oevent_ONotes @ SY2290 @ SY2291 ) )
| ( SV404 = SY2290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1386]) ).
thf(1829,plain,
! [SV405: $i] :
( ( ! [SY2292: $i,SY2293: $i,SY2294: $i] :
( ( ( c_Event_Oevent_OGets @ SV405 @ SY2292 )
!= ( c_Event_Oevent_OGets @ SY2293 @ SY2294 ) )
| ( SV405 = SY2293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1830,plain,
! [SV406: $i] :
( ( ! [SY2295: $i,SY2296: $i,SY2297: $i,SY2298: $i,SY2299: $i] :
( ( ( c_Event_Oevent_OSays @ SV406 @ SY2295 @ SY2296 )
!= ( c_Event_Oevent_OSays @ SY2297 @ SY2298 @ SY2299 ) )
| ( SY2295 = SY2298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1831,plain,
! [SV407: $i] :
( ( ! [SY2300: $i] :
( ( ( c_List_Orotate1 @ SV407 @ SY2300 )
!= ( c_List_Olist_ONil @ SY2300 ) )
| ( SV407
= ( c_List_Olist_ONil @ SY2300 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1389]) ).
thf(1832,plain,
! [SV408: $i] :
( ( ! [SY2301: $i] :
( ( ( c_List_Orev @ SV408 @ SY2301 )
!= ( c_List_Olist_ONil @ SY2301 ) )
| ( SV408
= ( c_List_Olist_ONil @ SY2301 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1833,plain,
! [SV409: $i] :
( ( ! [SY2302: $i,SY2303: $i,SY2304: $i,SY2305: $i,SY2306: $i] :
( ( ( c_Event_Oevent_OSays @ SV409 @ SY2302 @ SY2303 )
!= ( c_Event_Oevent_OSays @ SY2304 @ SY2305 @ SY2306 ) )
| ( SV409 = SY2304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1834,plain,
! [SV410: $i] :
( ( ! [SY2307: $i,SY2308: $i,SY2309: $i,SY2310: $i] :
( ( ( c_List_OdropWhile @ SV410 @ SY2307 @ SY2308 )
!= ( c_List_Olist_OCons @ SY2309 @ SY2310 @ SY2308 ) )
| ~ ( hBOOL @ ( hAPP @ SV410 @ SY2309 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(1835,plain,
! [SV411: $i] :
( ( ! [SY2311: $i,SY2312: $i,SY2313: $i] :
( ( ( c_List_Oappend @ SV411 @ SY2311 @ SY2312 )
!= ( c_List_Oappend @ SY2313 @ SY2311 @ SY2312 ) )
| ( SV411 = SY2313 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(1836,plain,
! [SV412: $i] :
( ( ! [SY2314: $i,SY2315: $i] :
( SV412
!= ( c_List_Olist_OCons @ SY2314 @ SV412 @ SY2315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(1837,plain,
! [SV413: $i] :
( ( ! [SY2316: $i,SY2317: $i] :
( ( c_List_Olist_OCons @ SV413 @ SY2316 @ SY2317 )
!= ( c_List_Olist_ONil @ SY2317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(1838,plain,
! [SV414: $i] :
( ( ! [SY2318: $i,SY2319: $i] :
( ( ( c_List_Oappend @ SV414 @ SY2318 @ SY2319 )
!= SY2318 )
| ( SV414
= ( c_List_Olist_ONil @ SY2319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1396]) ).
thf(1839,plain,
! [SV415: $i] :
( ( ! [SY2320: $i,SY2321: $i,SY2322: $i] :
( ( ( c_List_OtakeWhile @ SV415 @ SY2320 @ SY2321 )
!= SY2320 )
| ( hBOOL @ ( hAPP @ SV415 @ SY2322 ) )
| ~ ( c_in @ SY2322 @ ( c_List_Oset @ SY2320 @ SY2321 ) @ SY2321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1840,plain,
! [SV416: $i] :
( ( ! [SY2323: $i,SY2324: $i,SY2325: $i] :
( ( ( c_List_Orev @ SV416 @ SY2323 )
!= ( c_List_Olist_OCons @ SY2324 @ SY2325 @ SY2323 ) )
| ( SV416
= ( c_List_Oappend @ ( c_List_Orev @ SY2325 @ SY2323 ) @ ( c_List_Olist_OCons @ SY2324 @ ( c_List_Olist_ONil @ SY2323 ) @ SY2323 ) @ SY2323 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1841,plain,
! [SV417: $i] :
( ( ! [SY2326: $i,SY2327: $i] :
( ( c_List_Olist_ONil @ SV417 )
!= ( c_List_Olist_OCons @ SY2326 @ SY2327 @ SV417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1842,plain,
! [SV418: $i] :
( ( ! [SY2328: $i] :
( ( ( c_List_Oremdups @ SV418 @ SY2328 )
!= SV418 )
| ( c_List_Odistinct @ SV418 @ SY2328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1400]) ).
thf(1843,plain,
! [SV419: $i] :
( ( ! [SY2329: $i,SY2330: $i] :
( ( ( c_Message_Oanalz @ SV419 )
!= ( c_Message_Oanalz @ SY2329 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2330 @ SV419 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2330 @ SY2329 @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1844,plain,
! [SV420: $i] :
( ( ! [SY2331: $i,SY2332: $i,SY2333: $i] :
( ( ( c_Event_Oevent_ONotes @ SV420 @ SY2331 )
!= ( c_Event_Oevent_ONotes @ SY2332 @ SY2333 ) )
| ( SY2331 = SY2333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(1845,plain,
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ v_A @ v_B @ v_X ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1846,plain,
! [SV421: $i] :
( ( ! [SY2334: $i,SY2335: $i] :
( ( SV421
!= ( c_List_Oappend @ SY2334 @ SV421 @ SY2335 ) )
| ( SY2334
= ( c_List_Olist_ONil @ SY2335 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1847,plain,
! [SV422: $i] :
( ( ! [SY2336: $i,SY2337: $i,SY2338: $i] :
( ( ( c_Set_Oinsert @ SV422 @ SY2336 @ SY2337 )
!= ( c_Set_Oinsert @ SV422 @ SY2338 @ SY2337 ) )
| ( c_in @ SV422 @ SY2338 @ SY2337 )
| ( c_in @ SV422 @ SY2336 @ SY2337 )
| ( SY2336 = SY2338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1405]) ).
thf(1848,plain,
! [SV423: $i] :
( ( ! [SY2339: $i,SY2340: $i,SY2341: $i,SY2342: $i] :
( ( SV423
!= ( c_List_Oappend @ ( c_List_OtakeWhile @ SY2339 @ SV423 @ SY2340 ) @ ( c_List_Olist_OCons @ SY2341 @ SY2342 @ SY2340 ) @ SY2340 ) )
| ( ( c_List_OdropWhile @ SY2339 @ SV423 @ SY2340 )
= ( c_List_Olist_OCons @ SY2341 @ SY2342 @ SY2340 ) )
| ( hBOOL @ ( hAPP @ SY2339 @ SY2341 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1849,plain,
! [SV424: $i] :
( ( ! [SY2343: $i,SY2344: $i] :
( ( ( c_List_Oappend @ SV424 @ SY2343 @ SY2344 )
!= ( c_List_Olist_ONil @ SY2344 ) )
| ( SV424
= ( c_List_Olist_ONil @ SY2344 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1850,plain,
! [SV425: $i] :
( ( ! [SY2345: $i] :
( ( ( c_List_Oremdups @ SV425 @ SY2345 )
!= ( c_List_Olist_ONil @ SY2345 ) )
| ( SV425
= ( c_List_Olist_ONil @ SY2345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(1851,plain,
! [SV426: $i] :
( ( ! [SY2346: $i,SY2347: $i,SY2348: $i,SY2349: $i] :
( ( ( c_List_Oappend @ SV426 @ ( c_List_Olist_OCons @ SY2346 @ ( c_List_Olist_ONil @ SY2347 ) @ SY2347 ) @ SY2347 )
!= ( c_List_Oappend @ SY2348 @ ( c_List_Olist_OCons @ SY2349 @ ( c_List_Olist_ONil @ SY2347 ) @ SY2347 ) @ SY2347 ) )
| ( SV426 = SY2348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1852,plain,
! [SV427: $i] :
( ( ! [SY2350: $i,SY2351: $i,SY2352: $i,SY2353: $i] :
( ( ( c_List_Olist_OCons @ SV427 @ SY2350 @ SY2351 )
!= ( c_List_Olist_OCons @ SY2352 @ SY2353 @ SY2351 ) )
| ( SV427 = SY2352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1410]) ).
thf(1853,plain,
! [SV428: $i] :
( ( ! [SY2354: $i,SY2355: $i] :
( ( ( c_List_Olist_ONil @ SV428 )
!= ( c_List_Oappend @ SY2354 @ SY2355 @ SV428 ) )
| ( SY2355
= ( c_List_Olist_ONil @ SV428 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(1854,plain,
! [SV429: $i] :
( ( ! [SY2356: $i,SY2357: $i,SY2358: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV429 @ SY2356 )
!= ( c_Message_Omsg_OCrypt @ SY2357 @ SY2358 ) )
| ( SY2356 = SY2358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1855,plain,
! [SV430: $i] :
( ( ! [SY2359: $i,SY2360: $i,SY2361: $i,SY2362: $i] :
( ( ( c_List_Oappend @ SV430 @ SY2359 @ SY2360 )
!= ( c_List_Olist_OCons @ SY2361 @ SY2362 @ SY2360 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY2361 @ SY2362 @ SV430 @ SY2359 @ SY2360 ) @ SY2359 @ SY2360 )
= SY2362 )
| ( SV430
= ( c_List_Olist_ONil @ SY2360 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1856,plain,
! [SV431: $i] :
( ( ! [SY2363: $i,SY2364: $i,SY2365: $i,SY2366: $i] :
( ( ( c_List_OdropWhile @ SV431 @ SY2363 @ SY2364 )
!= ( c_List_Olist_OCons @ SY2365 @ SY2366 @ SY2364 ) )
| ( SY2363
= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV431 @ SY2363 @ SY2364 ) @ ( c_List_Olist_OCons @ SY2365 @ SY2366 @ SY2364 ) @ SY2364 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(1857,plain,
! [SV432: $i] :
( ( ! [SY2367: $i,SY2368: $i] :
( ( ( c_List_Orev @ SV432 @ SY2367 )
!= ( c_List_Olist_OCons @ SY2368 @ ( c_List_Olist_ONil @ SY2367 ) @ SY2367 ) )
| ( SV432
= ( c_List_Olist_OCons @ SY2368 @ ( c_List_Olist_ONil @ SY2367 ) @ SY2367 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1415]) ).
thf(1858,plain,
! [SV433: $i] :
( ( ! [SY2369: $i,SY2370: $i] :
( ( c_List_Olist_OCons @ SV433 @ SY2369 @ SY2370 )
!= ( c_List_Olist_ONil @ SY2370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(1859,plain,
! [SV434: $i] :
( ( ! [SY2371: $i,SY2372: $i,SY2373: $i] :
( ( ( c_List_OdropWhile @ SV434 @ SY2371 @ SY2372 )
!= ( c_List_Olist_ONil @ SY2372 ) )
| ( hBOOL @ ( hAPP @ SV434 @ SY2373 ) )
| ~ ( c_in @ SY2373 @ ( c_List_Oset @ SY2371 @ SY2372 ) @ SY2372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1417]) ).
thf(1860,plain,
! [SV435: $i] :
( ( ! [SY2374: $i] :
( ( ( c_List_Olist_ONil @ SV435 )
!= ( c_List_Oremdups @ SY2374 @ SV435 ) )
| ( SY2374
= ( c_List_Olist_ONil @ SV435 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1418]) ).
thf(1861,plain,
! [SV436: $i] :
( ( ! [SY2375: $i,SY2376: $i,SY2377: $i,SY2378: $i] :
( ( ( c_List_Oappend @ SV436 @ SY2375 @ SY2376 )
!= ( c_List_Olist_OCons @ SY2377 @ SY2378 @ SY2376 ) )
| ( SV436
= ( c_List_Olist_OCons @ SY2377 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY2377 @ SY2378 @ SV436 @ SY2375 @ SY2376 ) @ SY2376 ) )
| ( SY2375
= ( c_List_Olist_OCons @ SY2377 @ SY2378 @ SY2376 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1419]) ).
thf(1862,plain,
! [SV437: $i] :
( ( ! [SY2379: $i,SY2380: $i] :
( ( ( c_List_Oappend @ SV437 @ SY2379 @ SY2380 )
!= SV437 )
| ( SY2379
= ( c_List_Olist_ONil @ SY2380 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(1863,plain,
! [SV438: $i] :
( ( ! [SY2381: $i,SY2382: $i] :
( ( c_List_Olist_OCons @ SV438 @ SY2381 @ SY2382 )
!= SY2381 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1421]) ).
thf(1864,plain,
! [SV439: $i] :
( ( ! [SY2383: $i,SY2384: $i,SY2385: $i,SY2386: $i] :
( ( ( c_List_Oappend @ SV439 @ SY2383 @ SY2384 )
!= ( c_List_Olist_OCons @ SY2385 @ SY2386 @ SY2384 ) )
| ( SV439
= ( c_List_Olist_OCons @ SY2385 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY2385 @ SY2386 @ SV439 @ SY2383 @ SY2384 ) @ SY2384 ) )
| ( SV439
= ( c_List_Olist_ONil @ SY2384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(1865,plain,
! [SV440: $i] :
( ( ! [SY2387: $i,SY2388: $i,SY2389: $i] :
( ( ( c_Event_Oevent_OGets @ SV440 @ SY2387 )
!= ( c_Event_Oevent_OGets @ SY2388 @ SY2389 ) )
| ( SY2387 = SY2389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1423]) ).
thf(1866,plain,
! [SV441: $i,SV1: $i] :
( ( ! [SY2390: $i] :
( ( c_in @ SV1 @ ( c_Event_Oused @ SV441 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV1 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY2390 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1424]) ).
thf(1867,plain,
! [SV442: $i,SV2: $i] :
( ( ( c_lessequals @ SV2 @ ( c_Message_Oparts @ SV442 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ SV2 ) @ ( c_Message_Oparts @ SV442 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1425]) ).
thf(1868,plain,
! [SV443: $i,SV3: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV3 ) @ ( c_Message_Oparts @ SV443 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV3 @ ( c_Message_Oparts @ SV443 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(1869,plain,
! [SV444: $i,SV4: $i] :
( ( ! [SY2391: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV4 @ SV444 ) @ SY2391 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV4 @ SV444 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV444 @ SY2391 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1870,plain,
! [SV445: $i,SV5: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV5 ) @ ( c_Message_Oparts @ SV445 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV5 @ SV445 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(1871,plain,
! [SV446: $i,SV6: $i] :
( ( ( c_in @ SV6 @ ( c_Message_Oparts @ SV446 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV6 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SV446 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1429]) ).
thf(1872,plain,
! [SV447: $i,SV7: $i] :
( ( ! [SY2392: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV7 @ SV447 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY2392 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1430]) ).
thf(1873,plain,
! [SV448: $i,SV8: $i] :
( ( ! [SY2393: $i] :
( ( c_in @ SV8 @ ( c_Message_Oparts @ SV448 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2393 @ SV8 ) @ ( c_Message_Oparts @ SV448 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1431]) ).
thf(1874,plain,
! [SV449: $i,SV12: $i] :
( ( ( c_in @ SV12 @ ( c_Message_Oparts @ SV449 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV12 @ SV449 @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1435]) ).
thf(1875,plain,
! [SV450: $i,SV14: $i] :
( ( ( c_in @ SV14 @ ( c_Message_Oparts @ SV450 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV14 @ ( c_Message_Oanalz @ SV450 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1437]) ).
thf(1876,plain,
! [SV451: $i,SV15: $i] :
( ( ( c_in @ SV15 @ ( c_Message_Oparts @ SV451 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV15 @ ( c_Message_Oanalz @ SV451 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1438]) ).
thf(1877,plain,
! [SV452: $i,SV16: $i] :
( ( ~ ( c_in @ SV16 @ ( c_Message_Oanalz @ SV452 ) @ tc_Message_Omsg )
| ( c_in @ SV16 @ ( c_Message_Oparts @ SV452 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1878,plain,
! [SV453: $i,SV17: $i] :
( ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV17 @ SV453 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SV453 ) )
| ~ ( c_in @ SV17 @ ( c_Message_Oparts @ SV453 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1879,plain,
! [SV454: $i,SV18: $i] :
( ( ! [SY2394: $i] :
( ( c_in @ SV18 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV454 @ SY2394 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV18 @ ( c_Message_Oparts @ SY2394 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(1880,plain,
! [SV455: $i,SV19: $i] :
( ( ! [SY2395: $i] :
( ( c_in @ SV19 @ ( c_Message_Oparts @ SV455 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ SY2395 @ ( c_Message_Oparts @ SV455 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV19 @ ( c_Message_Oparts @ SY2395 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(1881,plain,
! [SV456: $i,SV21: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV21 @ ( c_Message_Oparts @ SV456 ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV21 @ SV456 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(1882,plain,
! [SV457: $i,SV22: $i] :
( ( ( c_in @ SV22 @ ( c_Event_Oused @ SV457 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV22 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV457 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1445]) ).
thf(1883,plain,
! [SV458: $i,SV24: $i] :
( ( ( c_in @ SV24 @ ( c_Message_Osynth @ SV458 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV24 @ SV458 @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(1884,plain,
! [SV459: $i,SV25: $i] :
( ( ( c_in @ SV25 @ ( c_Message_Osynth @ SV459 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV25 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SV459 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1448]) ).
thf(1885,plain,
! [SV460: $i,SV26: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orev @ SV26 @ SV460 ) @ SV460 )
| ~ ( c_List_Odistinct @ SV26 @ SV460 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1886,plain,
! [SV461: $i,SV27: $i] :
( ( ( c_List_Odistinct @ SV27 @ SV461 )
| ~ ( c_List_Odistinct @ ( c_List_Orev @ SV27 @ SV461 ) @ SV461 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(1887,plain,
! [SV462: $i,SV29: $i] :
( ( ( ( c_List_Oremdups @ SV29 @ SV462 )
= SV29 )
| ~ ( c_List_Odistinct @ SV29 @ SV462 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1888,plain,
! [SV463: $i,SV30: $i] :
( ( ! [SY2396: $i] :
( ( c_in @ SV30 @ ( c_Message_Osynth @ SV463 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SY2396 @ SV30 ) @ SV463 @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2396 @ SV30 ) @ ( c_Message_Osynth @ SV463 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(1889,plain,
! [SV464: $i,SV31: $i] :
( ( ! [SY2397: $i,SY2398: $i] :
( ( ( c_List_OtakeWhile @ SV31 @ SV464 @ SY2397 )
= ( c_List_OtakeWhile @ SY2398 @ SV464 @ SY2397 ) )
| ~ ( hBOOL @ ( hAPP @ SY2398 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SY2398 @ SV464 @ SY2397 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV31 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SY2398 @ SV464 @ SY2397 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1890,plain,
! [SV465: $i,SV32: $i] :
( ( ! [SY2399: $i,SY2400: $i] :
( ( ( c_List_OtakeWhile @ SV32 @ SV465 @ SY2399 )
= ( c_List_OtakeWhile @ SY2400 @ SV465 @ SY2399 ) )
| ( hBOOL @ ( hAPP @ SY2400 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SY2400 @ SV465 @ SY2399 ) ) )
| ( hBOOL @ ( hAPP @ SV32 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SY2400 @ SV465 @ SY2399 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(1891,plain,
! [SV466: $i,SV33: $i] :
( ( ! [SY2401: $i,SY2402: $i,SY2403: $i] :
( ~ ( class_Orderings_Olinorder @ SV33 )
| ( c_List_Odistinct @ SV466 @ SY2401 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SY2402 @ SY2403 @ SV466 @ SY2401 @ SV33 ) @ SY2401 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(1892,plain,
! [SV467: $i,SV34: $i] :
( ( ! [SY2404: $i] :
( ( c_List_Odistinct @ ( c_List_OtakeWhile @ SV34 @ SV467 @ SY2404 ) @ SY2404 )
| ~ ( c_List_Odistinct @ SV467 @ SY2404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(1893,plain,
! [SV468: $i,SV35: $i] :
( ( ! [SY2405: $i,SY2406: $i] :
( ( ( c_List_Ofilter @ SV35 @ ( c_List_Olist_OCons @ SV468 @ SY2405 @ SY2406 ) @ SY2406 )
= ( c_List_Ofilter @ SV35 @ SY2405 @ SY2406 ) )
| ( hBOOL @ ( hAPP @ SV35 @ SV468 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(1894,plain,
! [SV469: $i,SV36: $i] :
( ( ! [SY2407: $i,SY2408: $i] :
( ( ( c_List_OdropWhile @ SV36 @ ( c_List_Olist_OCons @ SV469 @ SY2407 @ SY2408 ) @ SY2408 )
= ( c_List_Olist_OCons @ SV469 @ SY2407 @ SY2408 ) )
| ( hBOOL @ ( hAPP @ SV36 @ SV469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(1895,plain,
! [SV470: $i,SV37: $i] :
( ( ! [SY2409: $i,SY2410: $i] :
( ( ( c_List_OdropWhile @ SV37 @ ( c_List_Olist_OCons @ SV470 @ SY2409 @ SY2410 ) @ SY2410 )
= ( c_List_OdropWhile @ SV37 @ SY2409 @ SY2410 ) )
| ~ ( hBOOL @ ( hAPP @ SV37 @ SV470 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1460]) ).
thf(1896,plain,
! [SV471: $i,SV38: $i] :
( ( ! [SY2411: $i,SY2412: $i] :
( ( ( c_List_Oremove1 @ SV38 @ ( c_List_Olist_OCons @ SV471 @ SY2411 @ SY2412 ) @ SY2412 )
= ( c_List_Olist_OCons @ SV471 @ ( c_List_Oremove1 @ SV38 @ SY2411 @ SY2412 ) @ SY2412 ) )
| ( SV38 = SV471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1897,plain,
! [SV472: $i,SV39: $i] :
( ( ! [SY2413: $i,SY2414: $i] :
( ( ( c_List_Ofilter @ SV39 @ ( c_List_Olist_OCons @ SV472 @ SY2413 @ SY2414 ) @ SY2414 )
= ( c_List_Olist_OCons @ SV472 @ ( c_List_Ofilter @ SV39 @ SY2413 @ SY2414 ) @ SY2414 ) )
| ~ ( hBOOL @ ( hAPP @ SV39 @ SV472 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(1898,plain,
! [SV473: $i,SV40: $i] :
( ( ! [SY2415: $i] :
( ( c_List_Oremove1 @ SV40 @ ( c_List_Olist_OCons @ SV40 @ SV473 @ SY2415 ) @ SY2415 )
= SV473 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1463]) ).
thf(1899,plain,
! [SV474: $i,SV41: $i] :
( ( ! [SY2416: $i] :
( ( c_List_Odistinct @ SV41 @ SV474 )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SY2416 @ SV41 @ SV474 ) @ SV474 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1464]) ).
thf(1900,plain,
! [SV475: $i,SV45: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_ONil @ SV45 ) @ SV475 @ SV45 )
= ( c_List_Olist_ONil @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(1901,plain,
! [SV476: $i,SV46: $i] :
( ( ( c_List_OdropWhile @ SV46 @ ( c_List_Olist_ONil @ SV476 ) @ SV476 )
= ( c_List_Olist_ONil @ SV476 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(1902,plain,
! [SV477: $i,SV47: $i] :
( ( ( c_List_Ofilter @ SV47 @ ( c_List_Olist_ONil @ SV477 ) @ SV477 )
= ( c_List_Olist_ONil @ SV477 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1470]) ).
thf(1903,plain,
! [SV478: $i,SV48: $i] :
( ( ! [SY2417: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV48 ) @ SV478 @ SY2417 @ SV48 )
= ( c_List_Olist_ONil @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1471]) ).
thf(1904,plain,
! [SV479: $i,SV49: $i] :
( ( ! [SY2418: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV49 ) @ SV479 @ SY2418 @ SV49 )
= ( c_List_Olist_ONil @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1905,plain,
! [SV480: $i,SV50: $i] :
( ( ! [SY2419: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV50 ) @ SV480 @ SY2419 @ SV50 )
= ( c_List_Olist_ONil @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1473]) ).
thf(1906,plain,
! [SV481: $i,SV51: $i] :
( ( ( c_List_Oremove1 @ SV51 @ ( c_List_Olist_ONil @ SV481 ) @ SV481 )
= ( c_List_Olist_ONil @ SV481 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(1907,plain,
! [SV482: $i,SV52: $i] :
( ( ! [SY2420: $i] :
( ( c_List_Odistinct @ SV52 @ SV482 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SY2420 @ SV52 @ SV482 ) @ SV482 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(1908,plain,
! [SV483: $i,SV53: $i] :
( ( ! [SY2421: $i] :
( ( c_List_Odistinct @ SV53 @ SV483 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV53 @ SY2421 @ SV483 ) @ SV483 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(1909,plain,
! [SV484: $i,SV54: $i] :
( ( ! [SY2422: $i,SY2423: $i] :
( ( c_List_Ofilter @ SV54 @ ( c_List_Oappend @ SV484 @ SY2422 @ SY2423 ) @ SY2423 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV54 @ SV484 @ SY2423 ) @ ( c_List_Ofilter @ SV54 @ SY2422 @ SY2423 ) @ SY2423 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(1910,plain,
! [SV485: $i,SV55: $i] :
( ( ! [SY2424: $i] :
( ( c_in @ SV55 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SY2424 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY2424 ) @ SV55 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1911,plain,
! [SV486: $i,SV56: $i] :
( ( ! [SY2425: $i,SY2426: $i] :
( ( c_in @ SV56 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV486 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SY2425 @ SY2426 @ SV56 ) @ ( c_List_Oset @ SV486 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1912,plain,
! [SV487: $i,SV57: $i] :
( ( ! [SY2427: $i] :
( ( c_List_Odistinct @ ( c_List_Ofilter @ SV57 @ SV487 @ SY2427 ) @ SY2427 )
| ~ ( c_List_Odistinct @ SV487 @ SY2427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(1913,plain,
! [SV488: $i,SV58: $i] :
( ( ( c_List_Odistinct @ SV58 @ SV488 )
| ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ SV58 @ SV488 ) @ SV488 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(1914,plain,
! [SV489: $i,SV59: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV59 @ SV489 ) @ SV489 )
| ~ ( c_List_Odistinct @ SV59 @ SV489 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1915,plain,
! [SV490: $i,SV60: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV60 @ SV490 ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(1916,plain,
! [SV491: $i,SV61: $i] :
( ( ( c_lessequals @ SV61 @ ( c_Message_Osynth @ SV491 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ SV61 ) @ ( c_Message_Osynth @ SV491 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1917,plain,
! [SV492: $i,SV62: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV62 ) @ ( c_Message_Osynth @ SV492 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV62 @ ( c_Message_Osynth @ SV492 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1485]) ).
thf(1918,plain,
! [SV493: $i,SV63: $i] :
( ( ! [SY2428: $i] :
( ~ ( class_Orderings_Opreorder @ SV63 )
| ~ ( c_lessequals @ SV493 @ SY2428 @ SV63 )
| ~ ( c_HOL_Oord__class_Oless @ SY2428 @ SV493 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1919,plain,
! [SV494: $i,SV64: $i] :
( ( ! [SY2429: $i,SY2430: $i] :
( ~ ( class_HOL_Oord @ SV64 )
| ~ ( c_lessequals @ SV494 @ SY2429 @ ( tc_fun @ SY2430 @ SV64 ) )
| ~ ( c_HOL_Oord__class_Oless @ SY2429 @ SV494 @ ( tc_fun @ SY2430 @ SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(1920,plain,
! [SV495: $i,SV65: $i] :
( ( ! [SY2431: $i] :
( ~ ( class_Orderings_Olinorder @ SV65 )
| ( c_HOL_Oord__class_Oless @ SV495 @ SY2431 @ SV65 )
| ( c_lessequals @ SY2431 @ SV495 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1488]) ).
thf(1921,plain,
! [SV496: $i,SV66: $i] :
( ( ! [SY2432: $i] :
( ~ ( class_Orderings_Olinorder @ SV66 )
| ~ ( c_lessequals @ SV496 @ SY2432 @ SV66 )
| ~ ( c_HOL_Oord__class_Oless @ SY2432 @ SV496 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1489]) ).
thf(1922,plain,
! [SV497: $i,SV67: $i] :
( ( ! [SY2433: $i] :
( ~ ( class_Orderings_Olinorder @ SV67 )
| ( c_lessequals @ SV497 @ SY2433 @ SV67 )
| ( c_HOL_Oord__class_Oless @ SY2433 @ SV497 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1490]) ).
thf(1923,plain,
! [SV498: $i,SV68: $i] :
( ( ! [SY2434: $i] :
( ~ ( class_Orderings_Olinorder @ SV68 )
| ~ ( c_HOL_Oord__class_Oless @ SV498 @ SY2434 @ SV68 )
| ~ ( c_lessequals @ SY2434 @ SV498 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1924,plain,
! [SV499: $i,SV69: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV69 )
| ( c_HOL_Oord__class_Oless @ SV499 @ SV499 @ SV69 )
| ( c_lessequals @ SV499 @ SV499 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1492]) ).
thf(1925,plain,
! [SV500: $i,SV70: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV70 )
| ~ ( c_lessequals @ SV500 @ SV500 @ SV70 )
| ~ ( c_HOL_Oord__class_Oless @ SV500 @ SV500 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1926,plain,
! [SV501: $i,SV71: $i] :
( ( ! [SY2435: $i] :
( ~ ( class_Orderings_Olinorder @ SV71 )
| ( c_HOL_Oord__class_Oless @ SV501 @ SY2435 @ SV71 )
| ( c_lessequals @ SY2435 @ SV501 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1927,plain,
! [SV502: $i,SV72: $i] :
( ( ! [SY2436: $i] :
( ( c_List_Oremdups @ ( c_List_Ofilter @ SV72 @ SV502 @ SY2436 ) @ SY2436 )
= ( c_List_Ofilter @ SV72 @ ( c_List_Oremdups @ SV502 @ SY2436 ) @ SY2436 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1495]) ).
thf(1928,plain,
! [SV503: $i,SV73: $i] :
( ( ! [SY2437: $i,SY2438: $i] :
( ~ ( class_Orderings_Oorder @ SV73 )
| ( c_HOL_Oord__class_Oless @ SV503 @ SY2437 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SV503 @ SY2438 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SY2438 @ SY2437 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1929,plain,
! [SV504: $i,SV74: $i] :
( ( ! [SY2439: $i,SY2440: $i] :
( ( c_in @ SV74 @ SV504 @ SY2439 )
| ~ ( c_in @ SV74 @ SY2440 @ SY2439 )
| ~ ( c_HOL_Oord__class_Oless @ SY2440 @ SV504 @ ( tc_fun @ SY2439 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1497]) ).
thf(1930,plain,
! [SV505: $i,SV75: $i] :
( ( ! [SY2441: $i,SY2442: $i] :
( ( c_HOL_Oord__class_Oless @ SV75 @ SV505 @ ( tc_fun @ SY2441 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SY2442 @ SV505 @ ( tc_fun @ SY2441 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV75 @ SY2442 @ ( tc_fun @ SY2441 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1498]) ).
thf(1931,plain,
! [SV506: $i,SV76: $i] :
( ( ! [SY2443: $i,SY2444: $i] :
( ~ ( class_Orderings_Opreorder @ SV76 )
| ( c_HOL_Oord__class_Oless @ SV506 @ SY2443 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SY2444 @ SY2443 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SV506 @ SY2444 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1499]) ).
thf(1932,plain,
! [SV507: $i,SV77: $i] :
( ( ! [SY2445: $i,SY2446: $i] :
( ( c_in @ SV77 @ ( c_Event_Oused @ SV507 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SY2445 @ SY2446 @ SV77 ) @ ( c_List_Oset @ SV507 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(1933,plain,
! [SV508: $i,SV78: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV78 ) @ ( c_Message_Osynth @ SV508 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV78 @ SV508 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1934,plain,
! [SV509: $i,SV79: $i] :
( ( ! [SY2447: $i] :
( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV79 @ SV509 @ SY2447 ) @ SY2447 )
| ~ ( c_List_Odistinct @ SV509 @ SY2447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1935,plain,
! [SV510: $i,SV80: $i] :
( ( ! [SY2448: $i,SY2449: $i] :
( ( ( c_List_Ofilter @ SV80 @ ( c_List_Oreplicate @ SV510 @ SY2448 @ SY2449 ) @ SY2449 )
= ( c_List_Oreplicate @ SV510 @ SY2448 @ SY2449 ) )
| ~ ( hBOOL @ ( hAPP @ SV80 @ SY2448 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(1936,plain,
! [SV511: $i,SV81: $i] :
( ( ! [SY2450: $i] :
( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV81 @ SV511 @ SY2450 ) @ SY2450 )
| ~ ( c_List_Odistinct @ SV511 @ SY2450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1504]) ).
thf(1937,plain,
! [SV512: $i,SV82: $i] :
( ( ! [SY2451: $i] :
( ( c_in @ SV82 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV512 ) @ tc_Message_Omsg )
| ~ ( c_in @ SY2451 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ SY2451 @ SV82 ) @ ( c_List_Oset @ SV512 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(1938,plain,
! [SV513: $i,SV83: $i] :
( ( ! [SY2452: $i] :
( ~ ( class_Orderings_Opreorder @ SV83 )
| ( c_HOL_Oord__class_Oless @ SV513 @ SY2452 @ SV83 )
| ( c_lessequals @ SY2452 @ SV513 @ SV83 )
| ~ ( c_lessequals @ SV513 @ SY2452 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1939,plain,
! [SV514: $i,SV84: $i] :
( ( ~ ( c_HOL_Oord__class_Oless @ SV84 @ SV84 @ ( tc_fun @ SV514 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1507]) ).
thf(1940,plain,
! [SV515: $i,SV85: $i] :
( ( ! [SY2453: $i,SY2454: $i] :
( ~ ( class_HOL_Oord @ SV85 )
| ( c_HOL_Oord__class_Oless @ SV515 @ SY2453 @ ( tc_fun @ SY2454 @ SV85 ) )
| ( c_lessequals @ SY2453 @ SV515 @ ( tc_fun @ SY2454 @ SV85 ) )
| ~ ( c_lessequals @ SV515 @ SY2453 @ ( tc_fun @ SY2454 @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1941,plain,
! [SV516: $i,SV86: $i] :
( ( ~ ( class_Orderings_Oorder @ SV86 )
| ~ ( c_HOL_Oord__class_Oless @ SV516 @ SV516 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1942,plain,
! [SV517: $i,SV87: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV87 )
| ~ ( c_HOL_Oord__class_Oless @ SV517 @ SV517 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1943,plain,
! [SV518: $i,SV88: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV88 )
| ~ ( c_HOL_Oord__class_Oless @ SV518 @ SV518 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(1944,plain,
! [SV519: $i,SV89: $i] :
( ( ! [SY2455: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ SV89 )
| ( c_HOL_Oord__class_Oless @ SV519 @ SY2455 @ SV89 )
| ( c_HOL_Oord__class_Oless @ SY2455 @ SV519 @ SV89 )
| ( SY2455 = SV519 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(1945,plain,
! [SV520: $i,SV90: $i] :
( ( ! [SY2456: $i] :
( ~ ( class_Orderings_Olinorder @ SV90 )
| ( SV520 = SY2456 )
| ( c_HOL_Oord__class_Oless @ SY2456 @ SV520 @ SV90 )
| ( c_HOL_Oord__class_Oless @ SV520 @ SY2456 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1513]) ).
thf(1946,plain,
! [SV521: $i,SV91: $i] :
( ( ! [SY2457: $i] :
( ~ ( class_Orderings_Olinorder @ SV91 )
| ( c_HOL_Oord__class_Oless @ SV521 @ SY2457 @ SV91 )
| ( c_HOL_Oord__class_Oless @ SY2457 @ SV521 @ SV91 )
| ( SY2457 = SV521 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1947,plain,
! [SV522: $i,SV92: $i] :
( ( ! [SY2458: $i] :
( ~ ( class_Orderings_Olinorder @ SV92 )
| ( c_HOL_Oord__class_Oless @ SV522 @ SY2458 @ SV92 )
| ( SY2458 = SV522 )
| ( c_HOL_Oord__class_Oless @ SY2458 @ SV522 @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1515]) ).
thf(1948,plain,
! [SV523: $i,SV93: $i] :
( ( ! [SY2459: $i] :
( ~ ( class_Orderings_Olinorder @ SV93 )
| ( SV523 = SY2459 )
| ( c_HOL_Oord__class_Oless @ SV523 @ SY2459 @ SV93 )
| ( c_HOL_Oord__class_Oless @ SY2459 @ SV523 @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(1949,plain,
! [SV524: $i,SV94: $i] :
( ( ! [SY2460: $i] :
( ( c_lessequals @ SV94 @ SV524 @ ( tc_fun @ SY2460 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV94 @ SV524 @ ( tc_fun @ SY2460 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(1950,plain,
! [SV525: $i,SV95: $i] :
( ( ! [SY2461: $i,SY2462: $i] :
( ~ ( class_HOL_Oord @ SV95 )
| ( c_lessequals @ SV525 @ SY2461 @ ( tc_fun @ SY2462 @ SV95 ) )
| ~ ( c_HOL_Oord__class_Oless @ SV525 @ SY2461 @ ( tc_fun @ SY2462 @ SV95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1518]) ).
thf(1951,plain,
! [SV526: $i,SV96: $i] :
( ( ! [SY2463: $i] :
( ~ ( class_Orderings_Oorder @ SV96 )
| ( c_lessequals @ SV526 @ SY2463 @ SV96 )
| ~ ( c_HOL_Oord__class_Oless @ SV526 @ SY2463 @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(1952,plain,
! [SV527: $i,SV97: $i] :
( ( ! [SY2464: $i] :
( ~ ( class_Orderings_Opreorder @ SV97 )
| ( c_lessequals @ SV527 @ SY2464 @ SV97 )
| ~ ( c_HOL_Oord__class_Oless @ SV527 @ SY2464 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1953,plain,
! [SV528: $i,SV98: $i] :
( ( ! [SY2465: $i] :
( ( c_in @ SV98 @ ( c_Event_Oused @ SV528 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ SY2465 @ SV98 ) @ ( c_List_Oset @ SV528 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(1954,plain,
! [SV529: $i,SV99: $i] :
( ( ! [SY2466: $i,SY2467: $i] :
( ( ( c_List_Oremove1 @ SV99 @ ( c_List_Ofilter @ SV529 @ SY2466 @ SY2467 ) @ SY2467 )
= ( c_List_Ofilter @ SV529 @ SY2466 @ SY2467 ) )
| ( hBOOL @ ( hAPP @ SV529 @ SV99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(1955,plain,
! [SV530: $i,SV100: $i] :
( ( ! [SY2468: $i] :
( ( ( c_List_OtakeWhile @ SV100 @ SV530 @ SY2468 )
= SV530 )
| ~ ( hBOOL @ ( hAPP @ SV100 @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ SV100 @ SV530 @ SY2468 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1956,plain,
! [SV531: $i,SV101: $i] :
( ( c_List_Odistinct @ ( c_List_Oremdups @ SV101 @ SV531 ) @ SV531 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1524]) ).
thf(1957,plain,
! [SV532: $i,SV103: $i] :
( ( ! [SY2469: $i,SY2470: $i] :
( ~ ( class_Orderings_Oorder @ SV103 )
| ( c_HOL_Oord__class_Oless @ SV532 @ SY2469 @ SV103 )
| ~ ( c_lessequals @ SV532 @ SY2470 @ SV103 )
| ~ ( c_HOL_Oord__class_Oless @ SY2470 @ SY2469 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1958,plain,
! [SV533: $i,SV104: $i] :
( ( ! [SY2471: $i,SY2472: $i] :
( ~ ( class_Orderings_Oorder @ SV104 )
| ( c_HOL_Oord__class_Oless @ SV533 @ SY2471 @ SV104 )
| ~ ( c_HOL_Oord__class_Oless @ SV533 @ SY2472 @ SV104 )
| ~ ( c_lessequals @ SY2472 @ SY2471 @ SV104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1527]) ).
thf(1959,plain,
! [SV534: $i,SV105: $i] :
( ( ! [SY2473: $i,SY2474: $i] :
( ( c_HOL_Oord__class_Oless @ SV105 @ SV534 @ ( tc_fun @ SY2473 @ tc_bool ) )
| ~ ( c_lessequals @ SY2474 @ SV534 @ ( tc_fun @ SY2473 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV105 @ SY2474 @ ( tc_fun @ SY2473 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1528]) ).
thf(1960,plain,
! [SV535: $i,SV106: $i] :
( ( ! [SY2475: $i,SY2476: $i] :
( ( c_HOL_Oord__class_Oless @ SV106 @ SV535 @ ( tc_fun @ SY2475 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SY2476 @ SV535 @ ( tc_fun @ SY2475 @ tc_bool ) )
| ~ ( c_lessequals @ SV106 @ SY2476 @ ( tc_fun @ SY2475 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1529]) ).
thf(1961,plain,
! [SV536: $i,SV107: $i] :
( ( ! [SY2477: $i,SY2478: $i] :
( ~ ( class_Orderings_Opreorder @ SV107 )
| ( c_HOL_Oord__class_Oless @ SV536 @ SY2477 @ SV107 )
| ~ ( c_HOL_Oord__class_Oless @ SY2478 @ SY2477 @ SV107 )
| ~ ( c_lessequals @ SV536 @ SY2478 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(1962,plain,
! [SV537: $i,SV108: $i] :
( ( ! [SY2479: $i,SY2480: $i] :
( ~ ( class_Orderings_Opreorder @ SV108 )
| ( c_HOL_Oord__class_Oless @ SV537 @ SY2479 @ SV108 )
| ~ ( c_lessequals @ SY2480 @ SY2479 @ SV108 )
| ~ ( c_HOL_Oord__class_Oless @ SV537 @ SY2480 @ SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1531]) ).
thf(1963,plain,
! [SV538: $i,SV109: $i] :
( ( ! [SY2481: $i,SY2482: $i,SY2483: $i,SY2484: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SV538 @ SY2481 @ SY2482 ) @ SY2483 @ SY2484 @ SY2482 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SY2483 @ SY2484 @ SY2482 ) @ SV538 @ SY2481 @ SY2482 ) )
| ( SV538 = SY2483 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1532]) ).
thf(1964,plain,
! [SV539: $i,SV110: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV110 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV539 @ SV110 ) @ SV110 )
| ~ ( c_List_Olinorder__class_Osorted @ SV539 @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(1965,plain,
! [SV540: $i,SV111: $i] :
( ( ! [SY2485: $i] :
( ( c_List_Orev @ ( c_List_Ofilter @ SV111 @ SV540 @ SY2485 ) @ SY2485 )
= ( c_List_Ofilter @ SV111 @ ( c_List_Orev @ SV540 @ SY2485 ) @ SY2485 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1534]) ).
thf(1966,plain,
! [SV541: $i,SV112: $i] :
( ( ! [SY2486: $i] :
( ~ ( class_Orderings_Oorder @ SV112 )
| ( c_HOL_Oord__class_Oless @ SV541 @ SY2486 @ SV112 )
| ( SY2486 = SV541 )
| ~ ( c_lessequals @ SV541 @ SY2486 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1535]) ).
thf(1967,plain,
! [SV542: $i,SV113: $i] :
( ( ! [SY2487: $i] :
( ~ ( class_Orderings_Oorder @ SV113 )
| ( c_HOL_Oord__class_Oless @ SV542 @ SY2487 @ SV113 )
| ~ ( c_lessequals @ SV542 @ SY2487 @ SV113 )
| ( SY2487 = SV542 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1968,plain,
! [SV543: $i,SV114: $i] :
( ( ! [SY2488: $i] :
( ( c_HOL_Oord__class_Oless @ SV114 @ SV543 @ ( tc_fun @ SY2488 @ tc_bool ) )
| ( SV114 = SV543 )
| ~ ( c_lessequals @ SV114 @ SV543 @ ( tc_fun @ SY2488 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(1969,plain,
! [SV544: $i,SV115: $i] :
( ( ! [SY2489: $i] :
( ~ ( class_Orderings_Oorder @ SV115 )
| ( SV544 = SY2489 )
| ( c_HOL_Oord__class_Oless @ SV544 @ SY2489 @ SV115 )
| ~ ( c_lessequals @ SV544 @ SY2489 @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1538]) ).
thf(1970,plain,
! [SV545: $i,SV116: $i] :
( ( ! [SY2490: $i] :
( ~ ( class_Orderings_Oorder @ SV116 )
| ( c_HOL_Oord__class_Oless @ SV545 @ SY2490 @ SV116 )
| ( SV545 = SY2490 )
| ~ ( c_lessequals @ SV545 @ SY2490 @ SV116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(1971,plain,
! [SV546: $i,SV117: $i] :
( ( ! [SY2491: $i] :
( ( SV117 = SV546 )
| ( c_HOL_Oord__class_Oless @ SV117 @ SV546 @ ( tc_fun @ SY2491 @ tc_bool ) )
| ~ ( c_lessequals @ SV117 @ SV546 @ ( tc_fun @ SY2491 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1540]) ).
thf(1972,plain,
! [SV547: $i,SV118: $i] :
( ( ! [SY2492: $i] :
( ~ ( class_Orderings_Oorder @ SV118 )
| ( c_HOL_Oord__class_Oless @ SV547 @ SY2492 @ SV118 )
| ( SV547 = SY2492 )
| ~ ( c_lessequals @ SV547 @ SY2492 @ SV118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(1973,plain,
! [SV548: $i,SV119: $i] :
( ( ! [SY2493: $i] :
( ~ ( class_Orderings_Oorder @ SV119 )
| ( c_HOL_Oord__class_Oless @ SV548 @ SY2493 @ SV119 )
| ~ ( c_lessequals @ SV548 @ SY2493 @ SV119 )
| ( SV548 = SY2493 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1542]) ).
thf(1974,plain,
! [SV549: $i,SV120: $i] :
( ( ! [SY2494: $i] :
( ~ ( class_Orderings_Olinorder @ SV120 )
| ( SV549 = SY2494 )
| ~ ( c_lessequals @ SV549 @ SY2494 @ SV120 )
| ( c_HOL_Oord__class_Oless @ SV549 @ SY2494 @ SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1543]) ).
thf(1975,plain,
! [SV550: $i,SV121: $i] :
( ( ! [SY2495: $i] :
( ~ ( class_Orderings_Olinorder @ SV121 )
| ( SV550 = SY2495 )
| ( c_HOL_Oord__class_Oless @ SV550 @ SY2495 @ SV121 )
| ~ ( c_lessequals @ SV550 @ SY2495 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(1976,plain,
! [SV551: $i,SV122: $i] :
( ( ! [SY2496: $i] :
( ~ ( class_Orderings_Olinorder @ SV122 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV551 @ SY2496 @ SV122 ) @ SV122 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2496 @ SV122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1545]) ).
thf(1977,plain,
! [SV552: $i,SV123: $i] :
( ( ! [SY2497: $i,SY2498: $i,SY2499: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV123 @ SV552 @ SY2497 @ SY2498 ) @ SV552 @ SY2499 @ SY2498 )
= ( c_List_Olist__update @ SV123 @ SV552 @ SY2499 @ SY2498 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1546]) ).
thf(1978,plain,
! [SV553: $i,SV124: $i] :
( ( ( c_List_Oset @ ( c_List_Oremdups @ SV124 @ SV553 ) @ SV553 )
= ( c_List_Oset @ SV124 @ SV553 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1547]) ).
thf(1979,plain,
! [SV554: $i,SV125: $i] :
( ( ! [SY2500: $i] :
( ~ ( class_Orderings_Olinorder @ SV125 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV554 @ SY2500 @ SV125 ) @ SV125 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2500 @ SV125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1548]) ).
thf(1980,plain,
! [SV555: $i,SV126: $i] :
( ( ! [SY2501: $i] :
( ~ ( class_Orderings_Oorder @ SV126 )
| ~ ( c_HOL_Oord__class_Oless @ SV555 @ SY2501 @ SV126 )
| ~ ( c_HOL_Oord__class_Oless @ SY2501 @ SV555 @ SV126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1549]) ).
thf(1981,plain,
! [SV556: $i,SV127: $i] :
( ( ! [SY2502: $i] :
( ~ ( class_Orderings_Olinorder @ SV127 )
| ~ ( c_HOL_Oord__class_Oless @ SV556 @ SY2502 @ SV127 )
| ~ ( c_HOL_Oord__class_Oless @ SY2502 @ SV556 @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1550]) ).
thf(1982,plain,
! [SV557: $i,SV128: $i] :
( ( ! [SY2503: $i] :
( ~ ( class_Orderings_Opreorder @ SV128 )
| ~ ( c_HOL_Oord__class_Oless @ SV557 @ SY2503 @ SV128 )
| ~ ( c_HOL_Oord__class_Oless @ SY2503 @ SV557 @ SV128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1983,plain,
! [SV558: $i,SV129: $i] :
( ( ! [SY2504: $i] :
( ~ ( class_Orderings_Opreorder @ SV129 )
| ~ ( c_HOL_Oord__class_Oless @ SV558 @ SY2504 @ SV129 )
| ~ ( c_HOL_Oord__class_Oless @ SY2504 @ SV558 @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1552]) ).
thf(1984,plain,
! [SV559: $i,SV130: $i] :
( ( ! [SY2505: $i] :
( ~ ( class_Orderings_Olinorder @ SV130 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV559 @ SY2505 @ SV130 ) @ SV130 )
| ~ ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV559 @ SY2505 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV559 @ SY2505 @ SV130 ) @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2505 @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV559 @ SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(1985,plain,
! [SV560: $i,SV131: $i] :
( ( ! [SY2506: $i,SY2507: $i] :
( ( c_in @ SV131 @ ( c_Event_Oknows @ SV560 @ SY2506 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV560 @ SY2507 @ SV131 ) @ ( c_List_Oset @ SY2506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(1986,plain,
! [SV561: $i,SV132: $i] :
( ( ! [SY2508: $i] :
( ( c_in @ SV132 @ ( c_Event_Oknows @ SV561 @ SY2508 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ SV561 @ SV132 ) @ ( c_List_Oset @ SY2508 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(1987,plain,
! [SV562: $i,SV133: $i] :
( ( ! [SY2509: $i,SY2510: $i] :
( ( c_HOL_Oord__class_Oless @ SV133 @ SV562 @ ( tc_fun @ SY2509 @ tc_bool ) )
| ~ ( c_in @ SY2510 @ SV562 @ SY2509 )
| ~ ( c_HOL_Oord__class_Oless @ SV133 @ ( c_Set_Oinsert @ SY2510 @ SV562 @ SY2509 ) @ ( tc_fun @ SY2509 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(1988,plain,
! [SV563: $i,SV134: $i] :
( ( ! [SY2511: $i,SY2512: $i] :
( ( c_HOL_Oord__class_Oless @ SV134 @ ( c_Set_Oinsert @ SV563 @ SY2511 @ SY2512 ) @ ( tc_fun @ SY2512 @ tc_bool ) )
| ~ ( c_in @ SV563 @ SY2511 @ SY2512 )
| ~ ( c_HOL_Oord__class_Oless @ SV134 @ SY2511 @ ( tc_fun @ SY2512 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(1989,plain,
! [SV564: $i,SV135: $i] :
( ( ! [SY2513: $i,SY2514: $i] :
( ~ ( c_in @ SV135 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV564 @ SY2513 @ SY2514 ) @ SY2514 ) @ SY2514 )
| ( c_in @ SV135 @ ( c_List_Oset @ SY2513 @ SY2514 ) @ SY2514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(1990,plain,
! [SV565: $i,SV136: $i] :
( ( ! [SY2515: $i,SY2516: $i] :
( ( c_in @ SV136 @ ( c_List_Oset @ SV565 @ SY2515 ) @ SY2515 )
| ~ ( c_in @ SV136 @ ( c_List_Oset @ ( c_List_Oremove1 @ SY2516 @ SV565 @ SY2515 ) @ SY2515 ) @ SY2515 )
| ( SV136 = SY2516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(1991,plain,
! [SV566: $i,SV137: $i] :
( ( ! [SY2517: $i,SY2518: $i] :
( ( c_in @ SV137 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV566 @ SY2517 @ SY2518 ) @ SY2518 ) @ SY2518 )
| ~ ( c_in @ SV137 @ ( c_List_Oset @ SY2517 @ SY2518 ) @ SY2518 )
| ( SV137 = SV566 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(1992,plain,
! [SV567: $i,SV138: $i] :
( ( ! [SY2519: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ SV138 @ SV567 @ SY2519 ) @ SY2519 ) @ ( c_List_Oset @ SV567 @ SY2519 ) @ ( tc_fun @ SY2519 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(1993,plain,
! [SV568: $i,SV139: $i] :
( ( ! [SY2520: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ SV139 @ SV568 @ SY2520 ) @ SY2520 ) @ ( c_List_Oset @ SV568 @ SY2520 ) @ ( tc_fun @ SY2520 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1562]) ).
thf(1994,plain,
! [SV569: $i,SV140: $i] :
( ( ! [SY2521: $i] :
( ( c_in @ SV140 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
| ~ ( c_in @ SY2521 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV140 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SY2521 @ SV569 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1563]) ).
thf(1995,plain,
! [SV570: $i,SV141: $i] :
( ( ! [SY2522: $i,SY2523: $i] :
( ( c_in @ SV141 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV570 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SY2522 @ SY2523 @ SV141 ) @ ( c_List_Oset @ SV570 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1564]) ).
thf(1996,plain,
! [SV571: $i,SV142: $i] :
( ( ! [SY2524: $i] :
( ( c_in @ SV142 @ ( c_Message_Osynth @ SV571 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ SY2524 @ ( c_Message_Osynth @ SV571 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV142 @ ( c_Message_Osynth @ SY2524 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1565]) ).
thf(1997,plain,
! [SV572: $i,SV143: $i] :
( ( ! [SY2525: $i,SY2526: $i] :
( ( ( c_List_Ofilter @ SV143 @ ( c_List_Oreplicate @ SV572 @ SY2525 @ SY2526 ) @ SY2526 )
= ( c_List_Olist_ONil @ SY2526 ) )
| ( hBOOL @ ( hAPP @ SV143 @ SY2525 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1566]) ).
thf(1998,plain,
! [SV573: $i,SV144: $i] :
( ( ! [SY2527: $i] :
( ( c_List_Oappend @ ( c_List_OtakeWhile @ SV144 @ SV573 @ SY2527 ) @ ( c_List_OdropWhile @ SV144 @ SV573 @ SY2527 ) @ SY2527 )
= SV573 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(1999,plain,
! [SV574: $i,SV145: $i] :
( ( ! [SY2528: $i,SY2529: $i] :
( ( ( c_List_OtakeWhile @ SV145 @ ( c_List_Oappend @ SV574 @ SY2528 @ SY2529 ) @ SY2529 )
= ( c_List_Oappend @ SV574 @ ( c_List_OtakeWhile @ SV145 @ SY2528 @ SY2529 ) @ SY2529 ) )
| ~ ( hBOOL @ ( hAPP @ SV145 @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV145 @ SV574 @ SY2529 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1568]) ).
thf(2000,plain,
! [SV575: $i,SV146: $i] :
( ( ! [SY2530: $i] :
( ( c_in @ SV146 @ ( c_Event_Oknows @ SV575 @ SY2530 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV575 @ SV146 ) @ ( c_List_Oset @ SY2530 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV575 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1569]) ).
thf(2001,plain,
! [SV576: $i,SV147: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV147 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV576 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV147 @ SV576 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1570]) ).
thf(2002,plain,
! [SV577: $i,SV148: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV148 @ ( c_Message_Osynth @ SV577 ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV148 @ SV577 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1571]) ).
thf(2003,plain,
! [SV578: $i,SV149: $i] :
( ( ! [SY2531: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV149 @ SV578 ) @ SY2531 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2531 ) )
| ( c_in @ SV149 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(2004,plain,
! [SV579: $i,SV150: $i] :
( ( ! [SY2532: $i] :
( ~ ( hBOOL @ ( hAPP @ SV150 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV150 @ SV579 @ SY2532 ) @ SY2532 ) ) )
| ( ( c_List_OdropWhile @ SV150 @ SV579 @ SY2532 )
= ( c_List_Olist_ONil @ SY2532 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1573]) ).
thf(2005,plain,
! [SV580: $i,SV151: $i] :
( ( ! [SY2533: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV151 @ SV580 ) @ SY2533 @ tc_Event_Oevent ) )
= ( c_Event_Oused @ SY2533 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(2006,plain,
! [SV581: $i,SV152: $i] :
( ( ! [SY2534: $i] : ( c_in @ SV152 @ ( c_Set_Oinsert @ SV152 @ SV581 @ SY2534 ) @ SY2534 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1575]) ).
thf(2007,plain,
! [SV582: $i,SV153: $i] :
( ( ! [SY2535: $i] :
( ( ( c_Set_Oinsert @ SV153 @ SV582 @ SY2535 )
= SV582 )
| ~ ( c_in @ SV153 @ SV582 @ SY2535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1576]) ).
thf(2008,plain,
! [SV583: $i,SV156: $i] :
( ( ( c_List_OtakeWhile @ SV156 @ ( c_List_Olist_ONil @ SV583 ) @ SV583 )
= ( c_List_Olist_ONil @ SV583 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(2009,plain,
! [SV584: $i,SV157: $i] :
( ( ( c_List_Osplice @ SV157 @ ( c_List_Olist_ONil @ SV584 ) @ SV584 )
= SV157 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(2010,plain,
! [SV585: $i,SV158: $i] :
( ( ( c_List_Osplice @ ( c_List_Olist_ONil @ SV158 ) @ SV585 @ SV158 )
= SV585 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(2011,plain,
! [SV586: $i,SV160: $i] :
( ( ! [SY2536: $i] :
( ( c_List_Oconcat__map @ SV160 @ ( c_List_Olist_ONil @ SV586 ) @ SV586 @ SY2536 )
= ( c_List_Olist_ONil @ SY2536 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(2012,plain,
! [SV587: $i,SV161: $i] :
( ( ! [SY2537: $i] :
( ( hBOOL @ ( hAPP @ SV161 @ SV587 ) )
| ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV161 @ SY2537 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Olist_ONil @ SY2537 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1584]) ).
thf(2013,plain,
! [SV163: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV163 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV163 ) @ SV163 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1586]) ).
thf(2014,plain,
! [SV588: $i,SV165: $i] :
( ( ( ( c_List_Orotate1 @ SV165 @ SV588 )
= ( c_List_Oappend @ ( c_List_Otl @ SV165 @ SV588 ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV165 @ SV588 ) @ ( c_List_Olist_ONil @ SV588 ) @ SV588 ) @ SV588 ) )
| ( SV165
= ( c_List_Olist_ONil @ SV588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1588]) ).
thf(2015,plain,
! [SV589: $i,SV166: $i] :
( ( ! [SY2538: $i,SY2539: $i] :
( ( c_in @ SV166 @ ( c_List_Oset @ ( c_List_Oappend @ SV589 @ ( c_List_Olist_OCons @ SV166 @ SY2538 @ SY2539 ) @ SY2539 ) @ SY2539 ) @ SY2539 )
| ( c_in @ SV166 @ ( c_List_Oset @ SV589 @ SY2539 ) @ SY2539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(2016,plain,
! [SV590: $i,SV167: $i] :
( ( ! [SY2540: $i,SY2541: $i] :
( ( c_in @ SV167 @ ( c_List_Oset @ ( c_List_Oappend @ SV590 @ ( c_List_Olist_OCons @ SV167 @ SY2540 @ SY2541 ) @ SY2541 ) @ SY2541 ) @ SY2541 )
| ( c_in @ SV167 @ ( c_List_Oset @ SY2540 @ SY2541 ) @ SY2541 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(2017,plain,
! [SV591: $i,SV168: $i] :
( ( ! [SY2542: $i,SY2543: $i] : ( c_in @ SV168 @ ( c_List_Oset @ ( c_List_Oappend @ SV591 @ ( c_List_Olist_OCons @ SV168 @ SY2542 @ SY2543 ) @ SY2543 ) @ SY2543 ) @ SY2543 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(2018,plain,
! [SV592: $i,SV169: $i] :
( ( ! [SY2544: $i] :
( ~ ( class_Orderings_Olinorder @ SV169 )
| ( c_List_Olinorder__class_Osorted @ SV592 @ SV169 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2544 @ SV592 @ SV169 ) @ SV169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(2019,plain,
! [SV593: $i,SV170: $i] :
( ( ! [SY2545: $i] :
( ~ ( class_Orderings_Olinorder @ SV170 )
| ( c_List_Olinorder__class_Osorted @ SV593 @ SV170 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV593 @ SY2545 @ SV170 ) @ SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1593]) ).
thf(2020,plain,
! [SV594: $i,SV171: $i] :
( ( ! [SY2546: $i,SY2547: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV171 @ SV594 @ SY2546 ) @ ( c_List_Oreplicate @ SY2547 @ SV594 @ SY2546 ) @ SY2546 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SY2547 @ SV594 @ SY2546 ) @ ( c_List_Oreplicate @ SV171 @ SV594 @ SY2546 ) @ SY2546 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1594]) ).
thf(2021,plain,
! [SV595: $i,SV172: $i] :
( ( ! [SY2548: $i] :
( ( c_List_Orev @ ( c_List_Oappend @ SV172 @ SV595 @ SY2548 ) @ SY2548 )
= ( c_List_Oappend @ ( c_List_Orev @ SV595 @ SY2548 ) @ ( c_List_Orev @ SV172 @ SY2548 ) @ SY2548 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(2022,plain,
! [SV596: $i,SV173: $i] :
( ( ! [SY2549: $i,SY2550: $i] :
( ~ ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV596 ) ) @ tc_Message_Omsg )
| ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY2549 @ SY2550 ) @ SV596 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1596]) ).
thf(2023,plain,
! [SV597: $i,SV174: $i] :
( ( ! [SY2551: $i,SY2552: $i] :
( ~ ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV597 ) ) @ tc_Message_Omsg )
| ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2551 @ SY2552 ) @ SV597 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(2024,plain,
! [SV598: $i,SV175: $i] :
( ( ! [SY2553: $i,SY2554: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV175 @ SV598 ) @ ( c_Event_Oknows @ SV175 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY2553 @ SY2554 ) @ SV598 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1598]) ).
thf(2025,plain,
! [SV599: $i,SV176: $i] :
( ( ! [SY2555: $i,SY2556: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV176 @ SV599 ) @ ( c_Event_Oknows @ SV176 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2555 @ SY2556 ) @ SV599 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(2026,plain,
! [SV600: $i,SV177: $i] :
( ( ! [SY2557: $i] :
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV177 @ SV600 ) @ SY2557 @ tc_Event_Oevent ) )
| ~ ( c_in @ SV600 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2557 ) ) ) @ tc_Message_Omsg )
| ~ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1600]) ).
thf(2027,plain,
! [SV601: $i,SV178: $i] :
( ( ! [SY2558: $i,SY2559: $i,SY2560: $i] :
( ~ ( class_Orderings_Olinorder @ SV178 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV601 @ SY2558 @ SY2559 @ SY2560 @ SV178 )
= ( c_List_Olist_OCons @ SY2558 @ SY2559 @ SY2560 ) )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SY2558 @ SV601 @ SY2559 @ SY2560 @ SV178 ) @ ( c_List_Oset @ SY2559 @ SY2560 ) @ SY2560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1601]) ).
thf(2028,plain,
! [SV602: $i,SV179: $i] :
( ( ! [SY2561: $i,SY2562: $i] :
( ( ( c_List_OtakeWhile @ SV179 @ ( c_List_Oappend @ SV602 @ SY2561 @ SY2562 ) @ SY2562 )
= ( c_List_Oappend @ SV602 @ ( c_List_OtakeWhile @ SV179 @ SY2561 @ SY2562 ) @ SY2562 ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV179 @ SV602 @ SY2562 ) @ ( c_List_Oset @ SV602 @ SY2562 ) @ SY2562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1602]) ).
thf(2029,plain,
! [SV603: $i,SV180: $i] :
( ( ! [SY2563: $i] :
( ~ ( class_Orderings_Olinorder @ SV180 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV603 @ SY2563 @ SV180 ) @ SV180 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV603 @ SY2563 @ SV180 ) @ ( c_List_Oset @ SY2563 @ SV180 ) @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2563 @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SV603 @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1603]) ).
thf(2030,plain,
! [SV604: $i,SV181: $i] :
( ( ! [SY2564: $i] :
( ~ ( class_Orderings_Olinorder @ SV181 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV604 @ SY2564 @ SV181 ) @ SV181 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV604 @ SY2564 @ SV181 ) @ ( c_List_Oset @ SV604 @ SV181 ) @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2564 @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SV604 @ SV181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(2031,plain,
! [SV605: $i,SV182: $i] :
( ( ! [SY2565: $i] :
( ~ ( class_Orderings_Olinorder @ SV182 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV605 @ SY2565 @ SV182 ) @ SV182 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV605 @ SY2565 @ SV182 ) @ ( c_List_Oset @ SY2565 @ SV182 ) @ SV182 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2565 @ SV182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(2032,plain,
! [SV606: $i,SV183: $i] :
( ( ! [SY2566: $i,SY2567: $i,SY2568: $i] :
( ~ ( class_Orderings_Olinorder @ SV183 )
| ~ ( c_in @ SV606 @ ( c_List_Oset @ SY2566 @ SY2567 ) @ SY2567 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SY2568 @ SV606 @ SY2566 @ SY2567 @ SV183 ) @ SY2567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1606]) ).
thf(2033,plain,
! [SV607: $i,SV184: $i] :
( ( ! [SY2569: $i,SY2570: $i,SY2571: $i] :
( ~ ( class_Orderings_Olinorder @ SV184 )
| ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV607 @ SY2569 @ SY2570 @ SY2571 @ SV184 ) @ SY2571 )
| ~ ( c_List_Odistinct @ SY2570 @ SY2571 )
| ( c_in @ SY2569 @ ( c_List_Oset @ SY2570 @ SY2571 ) @ SY2571 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1607]) ).
thf(2034,plain,
! [SV608: $i,SV185: $i] :
( ( ! [SY2572: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV185 @ SV608 ) @ SY2572 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV185 @ SV608 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV608 @ SY2572 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(2035,plain,
! [SV609: $i,SV186: $i] :
( ( ! [SY2573: $i,SY2574: $i,SY2575: $i] :
( ~ ( class_Orderings_Olinorder @ SV186 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV609 @ SY2573 @ SY2574 @ SY2575 @ SV186 )
= ( c_List_Olist_OCons @ SY2573 @ SY2574 @ SY2575 ) )
| ~ ( c_lessequals @ ( hAPP @ SV609 @ SY2573 ) @ ( hAPP @ SV609 @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SY2573 @ SV609 @ SY2574 @ SY2575 @ SV186 ) ) @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1609]) ).
thf(2036,plain,
! [SV610: $i,SV187: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV187 @ SV610 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV187 @ ( c_Message_Oanalz @ SV610 ) @ tc_Message_Omsg ) )
| ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SV610 @ SV187 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV187 @ SV610 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(2037,plain,
! [SV611: $i,SV188: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV188 @ SV611 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV188 @ ( c_Message_Oanalz @ SV611 ) @ tc_Message_Omsg ) )
| ~ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SV611 @ SV188 ) @ ( c_Set_Oinsert @ SV188 @ ( c_Message_Oanalz @ SV611 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1611]) ).
thf(2038,plain,
! [SV612: $i,SV189: $i] :
( ( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV189 @ SV612 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SV612 ) ) )
| ~ ( c_in @ SV189 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV612 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1612]) ).
thf(2039,plain,
! [SV613: $i,SV190: $i] :
( ( ! [SY2576: $i] :
( ( ( c_List_OtakeWhile @ SV190 @ SV613 @ SY2576 )
= SV613 )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ SV190 @ SV613 @ SY2576 ) @ ( c_List_Oset @ SV613 @ SY2576 ) @ SY2576 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1613]) ).
thf(2040,plain,
! [SV614: $i,SV191: $i] :
( ( ! [SY2577: $i,SY2578: $i] :
( ( ( c_List_OtakeWhile @ SV191 @ SV614 @ SY2577 )
= ( c_List_OtakeWhile @ SY2578 @ SV614 @ SY2577 ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV191 @ SY2578 @ SV614 @ SY2577 ) @ ( c_List_Oset @ SV614 @ SY2577 ) @ SY2577 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(2041,plain,
! [SV615: $i,SV192: $i] :
( ( ! [SY2579: $i] :
( ~ ( class_Orderings_Olinorder @ SV192 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV615 @ SY2579 @ SV192 ) @ SV192 )
| ~ ( c_lessequals @ SV615 @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV615 @ SY2579 @ SV192 ) @ SV192 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2579 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1615]) ).
thf(2042,plain,
! [SV616: $i,SV193: $i] :
( ( ! [SY2580: $i,SY2581: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV193 @ SV616 @ SY2580 @ SY2581 ) @ SY2581 ) @ ( c_Set_Oinsert @ SY2580 @ ( c_List_Oset @ SV193 @ SY2581 ) @ SY2581 ) @ ( tc_fun @ SY2581 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(2043,plain,
! [SV617: $i,SV194: $i] :
( ( ! [SY2582: $i,SY2583: $i] :
( ( ( c_List_Oremove1 @ SV194 @ ( c_List_Oappend @ SV617 @ SY2582 @ SY2583 ) @ SY2583 )
= ( c_List_Oappend @ ( c_List_Oremove1 @ SV194 @ SV617 @ SY2583 ) @ SY2582 @ SY2583 ) )
| ~ ( c_in @ SV194 @ ( c_List_Oset @ SV617 @ SY2583 ) @ SY2583 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1617]) ).
thf(2044,plain,
! [SV618: $i,SV195: $i] :
( ( ! [SY2584: $i,SY2585: $i,SY2586: $i] :
( ( ( c_List_OdropWhile @ SV195 @ ( c_List_Oappend @ SV618 @ SY2584 @ SY2585 ) @ SY2585 )
= ( c_List_Oappend @ ( c_List_OdropWhile @ SV195 @ SV618 @ SY2585 ) @ SY2584 @ SY2585 ) )
| ( hBOOL @ ( hAPP @ SV195 @ SY2586 ) )
| ~ ( c_in @ SY2586 @ ( c_List_Oset @ SV618 @ SY2585 ) @ SY2585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1618]) ).
thf(2045,plain,
! [SV619: $i,SV196: $i] :
( ( ! [SY2587: $i,SY2588: $i] :
( ( ( c_List_Oremove1 @ SV196 @ ( c_List_Oappend @ SV619 @ SY2587 @ SY2588 ) @ SY2588 )
= ( c_List_Oappend @ SV619 @ ( c_List_Oremove1 @ SV196 @ SY2587 @ SY2588 ) @ SY2588 ) )
| ( c_in @ SV196 @ ( c_List_Oset @ SV619 @ SY2588 ) @ SY2588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(2046,plain,
! [SV620: $i,SV197: $i] :
( ( ! [SY2589: $i,SY2590: $i,SY2591: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV197 @ SV620 @ SY2589 @ SY2590 ) @ SY2590 ) @ SY2591 @ ( tc_fun @ SY2590 @ tc_bool ) )
| ~ ( c_in @ SY2589 @ SY2591 @ SY2590 )
| ~ ( c_lessequals @ ( c_List_Oset @ SV197 @ SY2590 ) @ SY2591 @ ( tc_fun @ SY2590 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1620]) ).
thf(2047,plain,
! [SV621: $i,SV198: $i] :
( ( ! [SY2592: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ SV198 @ SV621 @ SY2592 ) @ SY2592 )
= ( c_List_Oremdups @ SV621 @ SY2592 ) )
| ~ ( c_in @ SV198 @ ( c_List_Oset @ SV621 @ SY2592 ) @ SY2592 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1621]) ).
thf(2048,plain,
! [SV622: $i,SV199: $i] :
( ( ! [SY2593: $i,SY2594: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV199 @ SV622 @ SY2593 ) @ SY2594 @ SY2593 )
= ( c_List_Olist_OCons @ SV199 @ ( c_List_Olist__inter @ SV622 @ SY2594 @ SY2593 ) @ SY2593 ) )
| ~ ( c_in @ SV199 @ ( c_List_Oset @ SY2594 @ SY2593 ) @ SY2593 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1622]) ).
thf(2049,plain,
! [SV623: $i,SV200: $i] :
( ( ! [SY2595: $i,SY2596: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV200 @ SV623 @ SY2595 ) @ SY2596 @ SY2595 )
= ( c_List_Olist__inter @ SV623 @ SY2596 @ SY2595 ) )
| ( c_in @ SV200 @ ( c_List_Oset @ SY2596 @ SY2595 ) @ SY2595 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(2050,plain,
! [SV624: $i,SV201: $i] :
( ( ! [SY2597: $i] :
( ( ( c_List_Olength__unique @ ( c_List_Olist_OCons @ SV201 @ SV624 @ SY2597 ) @ SY2597 )
= ( c_List_Olength__unique @ SV624 @ SY2597 ) )
| ~ ( c_in @ SV201 @ ( c_List_Oset @ SV624 @ SY2597 ) @ SY2597 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(2051,plain,
! [SV625: $i,SV202: $i] :
( ( ! [SY2598: $i] :
( ~ ( c_in @ SV202 @ ( c_List_Oset @ SV625 @ SY2598 ) @ SY2598 )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV202 @ SV625 @ SY2598 ) @ SY2598 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1625]) ).
thf(2052,plain,
! [SV626: $i,SV203: $i] :
( ( ! [SY2599: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ SV203 @ SV626 @ SY2599 ) @ SY2599 )
= ( c_List_Olist_OCons @ SV203 @ ( c_List_Oremdups @ SV626 @ SY2599 ) @ SY2599 ) )
| ( c_in @ SV203 @ ( c_List_Oset @ SV626 @ SY2599 ) @ SY2599 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(2053,plain,
! [SV627: $i,SV204: $i] :
( ( ! [SY2600: $i] :
( ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV204 @ SV627 @ SY2600 ) @ SY2600 )
| ~ ( c_List_Odistinct @ SV627 @ SY2600 )
| ( c_in @ SV204 @ ( c_List_Oset @ SV627 @ SY2600 ) @ SY2600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(2054,plain,
! [SV628: $i,SV205: $i] :
( ( ! [SY2601: $i,SY2602: $i] :
( ( c_HOL_Oord__class_Oless @ SV205 @ ( c_Set_Oinsert @ SV628 @ SY2601 @ SY2602 ) @ ( tc_fun @ SY2602 @ tc_bool ) )
| ~ ( c_lessequals @ SV205 @ SY2601 @ ( tc_fun @ SY2602 @ tc_bool ) )
| ( c_in @ SV628 @ SV205 @ SY2602 )
| ~ ( c_HOL_Oord__class_Oless @ SV205 @ SY2601 @ ( tc_fun @ SY2602 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(2055,plain,
! [SV629: $i,SV206: $i] :
( ( ! [SY2603: $i,SY2604: $i] :
( ( c_HOL_Oord__class_Oless @ SV206 @ ( c_Set_Oinsert @ SV629 @ SY2603 @ SY2604 ) @ ( tc_fun @ SY2604 @ tc_bool ) )
| ~ ( c_lessequals @ SV206 @ SY2603 @ ( tc_fun @ SY2604 @ tc_bool ) )
| ( c_in @ SV629 @ SV206 @ SY2604 )
| ( c_in @ SV629 @ SY2603 @ SY2604 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1629]) ).
thf(2056,plain,
! [SV630: $i,SV207: $i] :
( ( ! [SY2605: $i,SY2606: $i] :
( ( c_lessequals @ SV207 @ SV630 @ ( tc_fun @ SY2605 @ tc_bool ) )
| ( c_in @ SY2606 @ SV207 @ SY2605 )
| ( c_in @ SY2606 @ SV630 @ SY2605 )
| ~ ( c_HOL_Oord__class_Oless @ SV207 @ ( c_Set_Oinsert @ SY2606 @ SV630 @ SY2605 ) @ ( tc_fun @ SY2605 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1630]) ).
thf(2057,plain,
! [SV631: $i,SV208: $i] :
( ( ! [SY2607: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV208 @ SV631 ) @ SY2607 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV631 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2607 ) @ tc_Message_Omsg ) )
| ~ ( c_in @ SV208 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(2058,plain,
! [SV632: $i,SV209: $i] :
( ( ! [SY2608: $i,SY2609: $i] :
( ( c_in @ SV209 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV632 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SY2608 @ SY2609 @ SV209 ) @ ( c_List_Oset @ SV632 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(2059,plain,
! [SV633: $i,SV210: $i] :
( ( ! [SY2610: $i] :
( ( c_in @ SV210 @ ( c_Event_OinitState @ SV633 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Event_Oevent_ONotes @ SV633 @ SV210 ) @ ( c_List_Oset @ SY2610 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ SV633 @ SV210 ) @ ( c_List_Oset @ SY2610 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV633 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV633 @ SV210 @ SY2610 ) @ SV210 ) @ ( c_List_Oset @ SY2610 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV633 = c_Message_Oagent_OSpy )
| ~ ( c_in @ SV210 @ ( c_Event_Oknows @ SV633 @ SY2610 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(2060,plain,
! [SV634: $i,SV212: $i] :
( ( ! [SY2611: $i] : ( c_in @ SV212 @ ( c_Set_Oinsert @ SV212 @ SV634 @ SY2611 ) @ SY2611 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(2061,plain,
! [SV635: $i,SV213: $i] :
( ( ! [SY2612: $i] : ( c_in @ SV213 @ ( c_Set_Oinsert @ SV213 @ SV635 @ SY2612 ) @ SY2612 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1636]) ).
thf(2062,plain,
! [SV636: $i,SV214: $i] :
( ( ! [SY2613: $i,SY2614: $i] :
( ( c_lessequals @ SV214 @ SV636 @ ( tc_fun @ SY2613 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY2614 @ SV214 @ SY2613 ) @ SV636 @ ( tc_fun @ SY2613 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1637]) ).
thf(2063,plain,
! [SV637: $i,SV215: $i] :
( ( ! [SY2615: $i,SY2616: $i] :
( ( c_lessequals @ SV215 @ ( c_Set_Oinsert @ SV637 @ SY2615 @ SY2616 ) @ ( tc_fun @ SY2616 @ tc_bool ) )
| ~ ( c_lessequals @ SV215 @ SY2615 @ ( tc_fun @ SY2616 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1638]) ).
thf(2064,plain,
! [SV638: $i,SV216: $i] :
( ( ! [SY2617: $i] : ( c_lessequals @ SV216 @ ( c_Set_Oinsert @ SV638 @ SV216 @ SY2617 ) @ ( tc_fun @ SY2617 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1639]) ).
thf(2065,plain,
! [SV639: $i,SV217: $i] :
( ( ! [SY2618: $i,SY2619: $i] :
( ( c_in @ SV217 @ SV639 @ SY2618 )
| ( SV217 = SY2619 )
| ~ ( c_in @ SV217 @ ( c_Set_Oinsert @ SY2619 @ SV639 @ SY2618 ) @ SY2618 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1640]) ).
thf(2066,plain,
! [SV640: $i,SV218: $i] :
( ( ! [SY2620: $i,SY2621: $i] :
( ( c_in @ SV218 @ ( c_Set_Oinsert @ SV640 @ SY2620 @ SY2621 ) @ SY2621 )
| ~ ( c_in @ SV218 @ SY2620 @ SY2621 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(2067,plain,
! [SV641: $i,SV219: $i] :
( ( ! [SY2622: $i,SY2623: $i] :
( ( c_in @ SV219 @ ( c_Set_Oinsert @ SV641 @ SY2622 @ SY2623 ) @ SY2623 )
| ~ ( c_in @ SV219 @ SY2622 @ SY2623 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1642]) ).
thf(2068,plain,
! [SV642: $i,SV220: $i] :
( ( ! [SY2624: $i,SY2625: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV220 @ SV642 @ SY2624 ) @ ( c_Set_Oinsert @ SV220 @ SY2625 @ SY2624 ) @ ( tc_fun @ SY2624 @ tc_bool ) )
| ~ ( c_lessequals @ SV642 @ SY2625 @ ( tc_fun @ SY2624 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1643]) ).
thf(2069,plain,
! [SV643: $i,SV221: $i] :
( ( ! [SY2626: $i,SY2627: $i] :
( ( ( c_List_OtakeWhile @ SV221 @ ( c_List_Olist_OCons @ SV643 @ SY2626 @ SY2627 ) @ SY2627 )
= ( c_List_Olist_OCons @ SV643 @ ( c_List_OtakeWhile @ SV221 @ SY2626 @ SY2627 ) @ SY2627 ) )
| ~ ( hBOOL @ ( hAPP @ SV221 @ SV643 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(2070,plain,
! [SV644: $i,SV222: $i] :
( ( ! [SY2628: $i] :
( ~ ( class_Orderings_Olinorder @ SV222 )
| ( c_List_Olinorder__class_Osorted @ SV644 @ SV222 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2628 @ SV644 @ SV222 ) @ SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(2071,plain,
! [SV645: $i,SV223: $i] :
( ( ! [SY2629: $i,SY2630: $i] :
( ~ ( class_Orderings_Olinorder @ SV223 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV645 @ SY2629 @ SV223 ) @ SV223 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2630 @ ( c_List_Olist_OCons @ SV645 @ SY2629 @ SV223 ) @ SV223 ) @ SV223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1646]) ).
thf(2072,plain,
! [SV646: $i,SV224: $i] :
( ( ! [SY2631: $i,SY2632: $i,SY2633: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV224 @ SV646 @ SY2631 ) @ ( c_List_Olist_OCons @ SY2632 @ SY2633 @ SY2631 ) @ SY2631 )
= ( c_List_Olist_OCons @ SV224 @ ( c_List_Olist_OCons @ SY2632 @ ( c_List_Osplice @ SV646 @ SY2633 @ SY2631 ) @ SY2631 ) @ SY2631 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1647]) ).
thf(2073,plain,
! [SV647: $i,SV225: $i] :
( ( ! [SY2634: $i] :
( ( c_List_Otl @ ( c_List_Olist_OCons @ SV225 @ SV647 @ SY2634 ) @ SY2634 )
= SV647 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1648]) ).
thf(2074,plain,
! [SV648: $i,SV226: $i] :
( ( ! [SY2635: $i] :
( ( c_List_Ohd @ ( c_List_Olist_OCons @ SV226 @ SV648 @ SY2635 ) @ SY2635 )
= SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1649]) ).
thf(2075,plain,
! [SV649: $i,SV227: $i] :
( ( ! [SY2636: $i,SY2637: $i,SY2638: $i] :
( ~ ( class_HOL_Oord @ SV227 )
| ( c_lessequals @ ( hAPP @ SV649 @ SY2636 ) @ ( hAPP @ SY2637 @ SY2636 ) @ SV227 )
| ~ ( c_lessequals @ SV649 @ SY2637 @ ( tc_fun @ SY2638 @ SV227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1650]) ).
thf(2076,plain,
! [SV650: $i,SV228: $i] :
( ( ! [SY2639: $i,SY2640: $i] :
( ( hBOOL @ ( hAPP @ SV228 @ SV650 ) )
| ~ ( c_in @ SV650 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SV228 @ SY2639 @ SY2640 ) @ SY2640 ) @ SY2640 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(2077,plain,
! [SV651: $i,SV229: $i] :
( ( ( c_in @ ( c_List_Ohd @ SV229 @ SV651 ) @ ( c_List_Oset @ SV229 @ SV651 ) @ SV651 )
| ( SV229
= ( c_List_Olist_ONil @ SV651 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1652]) ).
thf(2078,plain,
! [SV652: $i,SV230: $i] :
( ( ! [SY2641: $i,SY2642: $i] :
( ~ ( class_Orderings_Olinorder @ SV230 )
| ( c_lessequals @ SV652 @ SY2641 @ SV230 )
| ~ ( c_in @ SY2641 @ ( c_List_Oset @ SY2642 @ SV230 ) @ SV230 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV652 @ SY2642 @ SV230 ) @ SV230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1653]) ).
thf(2079,plain,
! [SV653: $i,SV231: $i] :
( ( ! [SY2643: $i,SY2644: $i] :
( ( c_in @ SV231 @ ( c_List_Oset @ SV653 @ SY2643 ) @ SY2643 )
| ~ ( c_in @ SV231 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SY2644 @ SV653 @ SY2643 ) @ SY2643 ) @ SY2643 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(2080,plain,
! [SV654: $i,SV232: $i] :
( ( ! [SY2645: $i] :
( ( c_in @ SV232 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV654 @ SY2645 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV232 @ ( c_Message_Oanalz @ SY2645 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1655]) ).
thf(2081,plain,
! [SV655: $i,SV233: $i] :
( ( ! [SY2646: $i,SY2647: $i] :
( ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SV655 @ SY2646 @ SY2647 ) @ SY2647 ) @ SY2647 ) @ SY2647 )
| ~ ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ SV655 @ SY2647 ) @ SY2647 ) @ SY2647 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1656]) ).
thf(2082,plain,
! [SV656: $i,SV234: $i] :
( ( ! [SY2648: $i,SY2649: $i] :
( ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SV656 @ SY2648 @ SY2649 ) @ SY2649 ) @ SY2649 ) @ SY2649 )
| ~ ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ SY2648 @ SY2649 ) @ SY2649 ) @ SY2649 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(2083,plain,
! [SV657: $i,SV235: $i] :
( ( ! [SY2650: $i] :
( ~ ( class_Orderings_Olinorder @ SV235 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OtakeWhile @ SV657 @ SY2650 @ SV235 ) @ SV235 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2650 @ SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1658]) ).
thf(2084,plain,
! [SV658: $i,SV236: $i] :
( ( ! [SY2651: $i,SY2652: $i,SY2653: $i,SY2654: $i] :
( ~ ( class_Orderings_Olinorder @ SV236 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV658 @ SY2651 @ ( c_List_Olist_OCons @ SY2652 @ SY2653 @ SY2654 ) @ SY2654 @ SV236 )
= ( c_List_Olist_OCons @ SY2651 @ ( c_List_Olist_OCons @ SY2652 @ SY2653 @ SY2654 ) @ SY2654 ) )
| ~ ( c_lessequals @ ( hAPP @ SV658 @ SY2651 ) @ ( hAPP @ SV658 @ SY2652 ) @ SV236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1659]) ).
thf(2085,plain,
! [SV659: $i,SV237: $i] :
( ( ! [SY2655: $i,SY2656: $i] :
( ( c_lessequals @ SV237 @ SV659 @ ( tc_fun @ SY2655 @ tc_bool ) )
| ~ ( c_lessequals @ SV237 @ ( c_Set_Oinsert @ SY2656 @ SV659 @ SY2655 ) @ ( tc_fun @ SY2655 @ tc_bool ) )
| ( c_in @ SY2656 @ SV237 @ SY2655 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1660]) ).
thf(2086,plain,
! [SV660: $i,SV238: $i] :
( ( ! [SY2657: $i,SY2658: $i] :
( ( c_lessequals @ SV238 @ ( c_Set_Oinsert @ SV660 @ SY2657 @ SY2658 ) @ ( tc_fun @ SY2658 @ tc_bool ) )
| ~ ( c_lessequals @ SV238 @ SY2657 @ ( tc_fun @ SY2658 @ tc_bool ) )
| ( c_in @ SV660 @ SV238 @ SY2658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1661]) ).
thf(2087,plain,
! [SV661: $i,SV239: $i] :
( ( ! [SY2659: $i,SY2660: $i] :
( ( c_lessequals @ SV239 @ SV661 @ ( tc_fun @ SY2659 @ tc_bool ) )
| ( c_in @ SY2660 @ SV239 @ SY2659 )
| ~ ( c_lessequals @ SV239 @ ( c_Set_Oinsert @ SY2660 @ SV661 @ SY2659 ) @ ( tc_fun @ SY2659 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1662]) ).
thf(2088,plain,
! [SV662: $i,SV240: $i] :
( ( ! [SY2661: $i,SY2662: $i] :
( ( c_lessequals @ SV240 @ ( c_Set_Oinsert @ SV662 @ SY2661 @ SY2662 ) @ ( tc_fun @ SY2662 @ tc_bool ) )
| ~ ( c_lessequals @ SV240 @ SY2661 @ ( tc_fun @ SY2662 @ tc_bool ) )
| ( c_in @ SV662 @ SV240 @ SY2662 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1663]) ).
thf(2089,plain,
! [SV663: $i,SV241: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV241 @ SV663 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV663 ) )
| ~ ( c_in @ SV241 @ ( c_Message_Oanalz @ SV663 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1664]) ).
thf(2090,plain,
! [SV664: $i,SV242: $i] :
( ( ! [SY2663: $i,SY2664: $i] :
( ( c_in @ SV242 @ SV664 @ SY2663 )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV242 @ SY2664 @ SY2663 ) @ SV664 @ ( tc_fun @ SY2663 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1665]) ).
thf(2091,plain,
! [SV665: $i,SV243: $i] :
( ( ! [SY2665: $i,SY2666: $i,SY2667: $i] :
( ( hBOOL @ ( hAPP @ SV243 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ ( c_List_Oappend @ SV665 @ ( c_List_Olist_OCons @ SY2665 @ SY2666 @ SY2667 ) @ SY2667 ) @ SY2667 ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ SV665 @ SY2667 ) @ ( c_List_Oset @ SV665 @ SY2667 ) @ SY2667 )
| ~ ( hBOOL @ ( hAPP @ SV243 @ SY2665 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1666]) ).
thf(2092,plain,
! [SV666: $i,SV244: $i] :
( ( ! [SY2668: $i,SY2669: $i,SY2670: $i] :
( ~ ( class_Orderings_Olinorder @ SV244 )
| ( c_lessequals @ SV666 @ SY2668 @ SV244 )
| ~ ( c_in @ SY2668 @ ( c_List_Oset @ SY2669 @ SV244 ) @ SV244 )
| ~ ( c_in @ SV666 @ ( c_List_Oset @ SY2670 @ SV244 ) @ SV244 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2670 @ SY2669 @ SV244 ) @ SV244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(2093,plain,
! [SV667: $i,SV245: $i] :
( ( ! [SY2671: $i,SY2672: $i] :
( ( c_in @ SV245 @ ( c_List_Oset @ SV667 @ SY2671 ) @ SY2671 )
| ( SV245 = SY2672 )
| ~ ( c_in @ SV245 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY2672 @ SV667 @ SY2671 ) @ SY2671 ) @ SY2671 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1668]) ).
thf(2094,plain,
! [SV668: $i,SV246: $i] :
( ( ! [SY2673: $i,SY2674: $i,SY2675: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SY2673 @ SY2674 @ SY2675 ) @ SY2675 ) @ SY2675 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SY2673 @ SY2674 @ SY2675 ) @ SY2675 ) @ SY2675 ) @ SY2675 )
| ( hBOOL @ ( hAPP @ SV246 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ SY2674 @ SY2675 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV246 @ SY2673 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1669]) ).
thf(2095,plain,
! [SV669: $i,SV247: $i] :
( ( ! [SY2676: $i] :
( ( hBOOL @ ( hAPP @ SV247 @ SV669 ) )
| ~ ( c_in @ SV669 @ SV247 @ SY2676 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1670]) ).
thf(2096,plain,
! [SV670: $i,SV248: $i] :
( ( ! [SY2677: $i] :
( ( c_in @ SV248 @ SV670 @ SY2677 )
| ~ ( hBOOL @ ( hAPP @ SV670 @ SV248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1671]) ).
thf(2097,plain,
! [SV671: $i,SV249: $i] :
( ( ( c_in @ SV249 @ ( c_Message_Oanalz @ SV671 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV249 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV671 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1672]) ).
thf(2098,plain,
! [SV672: $i,SV250: $i] :
( ( ( c_in @ ( c_List_Olast @ SV250 @ SV672 ) @ ( c_List_Oset @ SV250 @ SV672 ) @ SV672 )
| ( SV250
= ( c_List_Olist_ONil @ SV672 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1673]) ).
thf(2099,plain,
! [SV673: $i,SV251: $i] :
( ( ( ( c_List_Olast @ ( c_List_Orev @ SV251 @ SV673 ) @ SV673 )
= ( c_List_Ohd @ SV251 @ SV673 ) )
| ( SV251
= ( c_List_Olist_ONil @ SV673 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(2100,plain,
! [SV674: $i,SV252: $i] :
( ( ! [SY2678: $i] :
( ( c_in @ SV252 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
| ~ ( c_in @ SY2678 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV252 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2678 @ SV674 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1675]) ).
thf(2101,plain,
! [SV675: $i,SV253: $i] :
( ( c_lessequals @ ( c_Event_OinitState @ SV253 ) @ ( c_Event_Oknows @ SV253 @ SV675 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(2102,plain,
! [SV676: $i,SV254: $i] :
( ( SV254
= ( c_List_Orev @ ( c_List_Orev @ SV254 @ SV676 ) @ SV676 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1677]) ).
thf(2103,plain,
! [SV677: $i,SV255: $i] :
( ( ( c_List_Orev @ ( c_List_Orev @ SV255 @ SV677 ) @ SV677 )
= SV255 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(2104,plain,
! [SV678: $i,SV256: $i] :
( ( ( c_List_Orev @ ( c_List_Orev @ SV256 @ SV678 ) @ SV678 )
= SV256 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1679]) ).
thf(2105,plain,
! [SV679: $i,SV257: $i] :
( ( ! [SY2679: $i,SY2680: $i,SY2681: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SY2679 @ SY2680 @ SY2681 ) @ SY2681 ) @ SY2681 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SY2679 @ SY2680 @ SY2681 ) @ SY2681 ) @ SY2681 ) @ SY2681 )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ SV679 @ SY2681 ) @ ( c_List_Oset @ SV679 @ SY2681 ) @ SY2681 )
| ~ ( hBOOL @ ( hAPP @ SV257 @ SY2679 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(2106,plain,
! [SV680: $i,SV258: $i] :
( ( ! [SY2682: $i] :
( ( c_List_Orev @ ( c_List_Oreplicate @ SV258 @ SV680 @ SY2682 ) @ SY2682 )
= ( c_List_Oreplicate @ SV258 @ SV680 @ SY2682 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1681]) ).
thf(2107,plain,
! [SV681: $i,SV259: $i] :
( ( ( ( c_List_Ohd @ ( c_List_Orev @ SV259 @ SV681 ) @ SV681 )
= ( c_List_Olast @ SV259 @ SV681 ) )
| ( SV259
= ( c_List_Olist_ONil @ SV681 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(2108,plain,
! [SV682: $i,SV260: $i] :
( ( ! [SY2683: $i,SY2684: $i,SY2685: $i] :
( ( ( c_List_OtakeWhile @ SV260 @ ( c_List_Oappend @ SV682 @ SY2683 @ SY2684 ) @ SY2684 )
= ( c_List_OtakeWhile @ SV260 @ SV682 @ SY2684 ) )
| ( hBOOL @ ( hAPP @ SV260 @ SY2685 ) )
| ~ ( c_in @ SY2685 @ ( c_List_Oset @ SV682 @ SY2684 ) @ SY2684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1683]) ).
thf(2109,plain,
! [SV683: $i,SV261: $i] :
( ( ! [SY2686: $i] :
( ( c_in @ SV261 @ ( c_Message_Oanalz @ SV683 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ SY2686 @ ( c_Message_Oanalz @ SV683 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV261 @ ( c_Message_Oanalz @ SY2686 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1684]) ).
thf(2110,plain,
! [SV684: $i,SV263: $i] :
( ( ( c_lessequals @ SV263 @ ( c_Message_Oanalz @ SV684 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV263 ) @ ( c_Message_Oanalz @ SV684 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1686]) ).
thf(2111,plain,
! [SV685: $i,SV264: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV264 ) @ ( c_Message_Oanalz @ SV685 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV264 @ ( c_Message_Oanalz @ SV685 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1687]) ).
thf(2112,plain,
! [SV686: $i,SV265: $i] :
( ( ! [SY2687: $i,SY2688: $i,SY2689: $i,SY2690: $i] :
( ~ ( class_Orderings_Olinorder @ SV265 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SY2687 @ ( c_List_Olist_OCons @ SY2688 @ SY2689 @ SY2690 ) @ SY2690 @ SV265 )
= ( c_List_Olist_OCons @ SY2688 @ ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SY2687 @ SY2689 @ SY2690 @ SV265 ) @ SY2690 ) )
| ( c_lessequals @ ( hAPP @ SV686 @ SY2687 ) @ ( hAPP @ SV686 @ SY2688 ) @ SV265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1688]) ).
thf(2113,plain,
! [SV687: $i,SV266: $i] :
( ( ! [SY2691: $i,SY2692: $i] :
( ( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV266 @ SV687 @ SY2691 ) @ SY2692 @ SY2691 )
= ( c_List_Olist_OCons @ SV266 @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SY2692 @ SY2691 ) @ ( c_List_Osplice @ SV687 @ ( c_List_Otl @ SY2692 @ SY2691 ) @ SY2691 ) @ SY2691 ) @ SY2691 ) )
| ( SY2692
= ( c_List_Olist_ONil @ SY2691 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1689]) ).
thf(2114,plain,
! [SV688: $i,SV267: $i] :
( ( ( c_List_Oset @ ( c_List_Orev @ SV267 @ SV688 ) @ SV688 )
= ( c_List_Oset @ SV267 @ SV688 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(2115,plain,
! [SV689: $i,SV268: $i] :
( ( ! [SY2693: $i] :
( ( SV268 = SV689 )
| ~ ( c_lessequals @ SV689 @ SV268 @ ( tc_fun @ SY2693 @ tc_bool ) )
| ~ ( c_lessequals @ SV268 @ SV689 @ ( tc_fun @ SY2693 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(2116,plain,
! [SV690: $i,SV269: $i] :
( ( ! [SY2694: $i] :
( ( SV269 = SV690 )
| ~ ( c_lessequals @ SV690 @ SV269 @ ( tc_fun @ SY2694 @ tc_bool ) )
| ~ ( c_lessequals @ SV269 @ SV690 @ ( tc_fun @ SY2694 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(2117,plain,
! [SV691: $i,SV270: $i] :
( ( ! [SY2695: $i] :
( ~ ( class_Orderings_Oorder @ SV270 )
| ( SV691 = SY2695 )
| ~ ( c_lessequals @ SY2695 @ SV691 @ SV270 )
| ~ ( c_lessequals @ SV691 @ SY2695 @ SV270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1693]) ).
thf(2118,plain,
! [SV692: $i,SV271: $i] :
( ( ! [SY2696: $i] :
( ~ ( class_Orderings_Oorder @ SV271 )
| ( SV692 = SY2696 )
| ~ ( c_lessequals @ SY2696 @ SV692 @ SV271 )
| ~ ( c_lessequals @ SV692 @ SY2696 @ SV271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1694]) ).
thf(2119,plain,
! [SV693: $i,SV272: $i] :
( ( ! [SY2697: $i] :
( ~ ( class_Orderings_Oorder @ SV272 )
| ( SV693 = SY2697 )
| ~ ( c_lessequals @ SV693 @ SY2697 @ SV272 )
| ~ ( c_lessequals @ SY2697 @ SV693 @ SV272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1695]) ).
thf(2120,plain,
! [SV694: $i,SV273: $i] :
( ( ! [SY2698: $i,SY2699: $i] :
( ( SV273 = SV694 )
| ~ ( c_in @ SV273 @ ( c_List_Oset @ ( c_List_Oreplicate @ SY2698 @ SV694 @ SY2699 ) @ SY2699 ) @ SY2699 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1696]) ).
thf(2121,plain,
! [SV695: $i,SV274: $i] :
( ( ( c_List_Oset @ ( c_List_Orotate1 @ SV274 @ SV695 ) @ SV695 )
= ( c_List_Oset @ SV274 @ SV695 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1697]) ).
thf(2122,plain,
! [SV696: $i,SV275: $i] :
( ( ! [SY2700: $i,SY2701: $i,SY2702: $i] :
( ~ ( class_Orderings_Olinorder @ SV275 )
| ( ( c_List_Oset @ ( c_List_Olinorder__class_Oinsort__key @ SV696 @ SY2700 @ SY2701 @ SY2702 @ SV275 ) @ SY2702 )
= ( c_Set_Oinsert @ SY2700 @ ( c_List_Oset @ SY2701 @ SY2702 ) @ SY2702 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1698]) ).
thf(2123,plain,
! [SV697: $i,SV276: $i] :
( ( ! [SY2703: $i,SY2704: $i] :
( ~ ( class_Orderings_Olinorder @ SV276 )
| ( c_lessequals @ SV697 @ SY2703 @ SV276 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV697 @ ( c_List_Olist_OCons @ SY2703 @ SY2704 @ SV276 ) @ SV276 ) @ SV276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(2124,plain,
! [SV698: $i,SV277: $i] :
( ( ! [SY2705: $i] : ( c_lessequals @ ( c_List_Oset @ SV277 @ SV698 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY2705 @ SV277 @ SV698 ) @ SV698 ) @ ( tc_fun @ SV698 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(2125,plain,
! [SV699: $i,SV278: $i] :
( ( ! [SY2706: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV278 @ SV699 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV699 ) )
| ~ ( c_lessequals @ SY2706 @ SV699 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV278 @ ( c_Message_Oanalz @ SY2706 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1701]) ).
thf(2126,plain,
! [SV700: $i,SV279: $i] :
( ( ! [SY2707: $i,SY2708: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV279 @ SV700 @ SY2707 ) @ SY2708 @ ( tc_fun @ SY2707 @ tc_bool ) )
| ~ ( c_lessequals @ SV700 @ SY2708 @ ( tc_fun @ SY2707 @ tc_bool ) )
| ~ ( c_in @ SV279 @ SY2708 @ SY2707 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1702]) ).
thf(2127,plain,
! [SV701: $i,SV280: $i] :
( ( ( c_in @ SV280 @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV280 @ SV701 @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(2128,plain,
! [SV702: $i,SV281: $i] :
( ( ! [SY2709: $i,SY2710: $i,SY2711: $i] :
( ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ ( c_List_Oappend @ SV702 @ ( c_List_Olist_OCons @ SY2709 @ SY2710 @ SY2711 ) @ SY2711 ) @ SY2711 ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ SY2710 @ SY2711 ) @ ( c_List_Oset @ SY2710 @ SY2711 ) @ SY2711 )
| ~ ( hBOOL @ ( hAPP @ SV281 @ SY2709 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1704]) ).
thf(2129,plain,
! [SV703: $i,SV282: $i] :
( ( ! [SY2712: $i,SY2713: $i] :
( ~ ( class_Orderings_Olinorder @ SV282 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV703 @ ( c_List_Olist_OCons @ SY2712 @ SY2713 @ SV282 ) @ SV282 ) @ SV282 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2712 @ SY2713 @ SV282 ) @ SV282 )
| ~ ( c_lessequals @ SV703 @ SY2712 @ SV282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(2130,plain,
! [SV704: $i,SV283: $i] :
( ( ! [SY2714: $i,SY2715: $i,SY2716: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SY2714 @ SY2715 @ SY2716 ) @ SY2716 ) @ SY2716 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SY2714 @ SY2715 @ SY2716 ) @ SY2716 ) @ SY2716 ) @ SY2716 )
| ( hBOOL @ ( hAPP @ SV283 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ SV704 @ SY2716 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV283 @ SY2714 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(2131,plain,
! [SV705: $i,SV284: $i] :
( ( ! [SY2717: $i,SY2718: $i] :
( ~ ( class_Orderings_Oorder @ SV284 )
| ( c_lessequals @ SV705 @ SY2717 @ SV284 )
| ~ ( c_lessequals @ SV705 @ SY2718 @ SV284 )
| ~ ( c_lessequals @ SY2718 @ SY2717 @ SV284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1707]) ).
thf(2132,plain,
! [SV706: $i,SV285: $i] :
( ( ! [SY2719: $i,SY2720: $i] :
( ~ ( class_Orderings_Opreorder @ SV285 )
| ( c_lessequals @ SV706 @ SY2719 @ SV285 )
| ~ ( c_lessequals @ SY2720 @ SY2719 @ SV285 )
| ~ ( c_lessequals @ SV706 @ SY2720 @ SV285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(2133,plain,
! [SV707: $i,SV286: $i] :
( ( ! [SY2721: $i,SY2722: $i] :
( ( c_in @ SV286 @ SV707 @ SY2721 )
| ~ ( c_in @ SV286 @ SY2722 @ SY2721 )
| ~ ( c_lessequals @ SY2722 @ SV707 @ ( tc_fun @ SY2721 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1709]) ).
thf(2134,plain,
! [SV708: $i,SV287: $i] :
( ( ! [SY2723: $i,SY2724: $i] :
( ( c_in @ SV287 @ SV708 @ SY2723 )
| ~ ( c_in @ SV287 @ SY2724 @ SY2723 )
| ~ ( c_lessequals @ SY2724 @ SV708 @ ( tc_fun @ SY2723 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1710]) ).
thf(2135,plain,
! [SV709: $i,SV288: $i] :
( ( c_lessequals @ SV288 @ SV288 @ ( tc_fun @ SV709 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1711]) ).
thf(2136,plain,
! [SV710: $i,SV289: $i] :
( ( ! [SY2725: $i,SY2726: $i] :
( ( c_in @ SV289 @ SV710 @ SY2725 )
| ~ ( c_lessequals @ SY2726 @ SV710 @ ( tc_fun @ SY2725 @ tc_bool ) )
| ~ ( c_in @ SV289 @ SY2726 @ SY2725 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1712]) ).
thf(2137,plain,
! [SV711: $i,SV290: $i] :
( ( ! [SY2727: $i,SY2728: $i] :
( ( c_in @ SV290 @ SV711 @ SY2727 )
| ~ ( c_in @ SV290 @ SY2728 @ SY2727 )
| ~ ( c_lessequals @ SY2728 @ SV711 @ ( tc_fun @ SY2727 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1713]) ).
thf(2138,plain,
! [SV712: $i,SV291: $i] :
( ( c_lessequals @ SV291 @ SV291 @ ( tc_fun @ SV712 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1714]) ).
thf(2139,plain,
! [SV713: $i,SV292: $i] :
( ( ! [SY2729: $i,SY2730: $i] :
( ( c_lessequals @ SV292 @ SV713 @ ( tc_fun @ SY2729 @ tc_bool ) )
| ~ ( c_lessequals @ SY2730 @ SV713 @ ( tc_fun @ SY2729 @ tc_bool ) )
| ~ ( c_lessequals @ SV292 @ SY2730 @ ( tc_fun @ SY2729 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1715]) ).
thf(2140,plain,
! [SV714: $i,SV293: $i] :
( ( ! [SY2731: $i,SY2732: $i] :
( ( hBOOL @ ( hAPP @ SV293 @ SV714 ) )
| ~ ( hBOOL @ ( hAPP @ SY2731 @ SV714 ) )
| ~ ( c_lessequals @ SY2731 @ SV293 @ ( tc_fun @ SY2732 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1716]) ).
thf(2141,plain,
! [SV715: $i,SV294: $i] :
( ( ~ ( class_Orderings_Oorder @ SV294 )
| ( c_lessequals @ SV715 @ SV715 @ SV294 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1717]) ).
thf(2142,plain,
! [SV716: $i,SV295: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV295 )
| ( c_lessequals @ SV716 @ SV716 @ SV295 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1718]) ).
thf(2143,plain,
! [SV717: $i,SV296: $i] :
( ( ! [SY2733: $i,SY2734: $i] :
( ( hBOOL @ ( hAPP @ SV296 @ SV717 ) )
| ~ ( c_lessequals @ SY2733 @ SV296 @ ( tc_fun @ SY2734 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY2733 @ SV717 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1719]) ).
thf(2144,plain,
! [SV718: $i,SV297: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV297 ) @ ( c_Message_Oanalz @ SV718 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV297 @ SV718 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1720]) ).
thf(2145,plain,
! [SV719: $i,SV298: $i] :
( ( ! [SY2735: $i] :
( ( c_in @ SV298 @ ( c_List_Oset @ SV719 @ SY2735 ) @ SY2735 )
| ~ ( c_in @ SV298 @ ( c_List_Oset @ ( c_List_Obutlast @ SV719 @ SY2735 ) @ SY2735 ) @ SY2735 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1721]) ).
thf(2146,plain,
! [SV720: $i,SV299: $i] :
( ( ! [SY2736: $i,SY2737: $i,SY2738: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SY2736 @ SY2737 @ SY2738 ) @ SY2738 ) @ SY2738 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SY2736 @ SY2737 @ SY2738 ) @ SY2738 ) @ SY2738 ) @ SY2738 )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ SY2737 @ SY2738 ) @ ( c_List_Oset @ SY2737 @ SY2738 ) @ SY2738 )
| ~ ( hBOOL @ ( hAPP @ SV299 @ SY2736 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(2147,plain,
! [SV721: $i,SV301: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV301 @ ( c_Message_Oanalz @ SV721 ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV301 @ SV721 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1724]) ).
thf(2148,plain,
! [SV722: $i,SV302: $i] :
( ( ! [SY2739: $i] :
( ~ ( class_Orderings_Olinorder @ SV302 )
| ( c_lessequals @ SV722 @ SY2739 @ SV302 )
| ( c_lessequals @ SY2739 @ SV722 @ SV302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(2149,plain,
! [SV723: $i,SV303: $i] :
( ( ! [SY2740: $i] :
( ( hBOOL @ ( hAPP @ SV303 @ SV723 ) )
| ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Oappend @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV303 @ SY2740 ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__induct__1__1 @ SV303 @ SY2740 ) @ ( c_List_Olist_ONil @ SY2740 ) @ SY2740 ) @ SY2740 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ SY2740 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1726]) ).
thf(2150,plain,
! [SV724: $i,SV304: $i] :
( ( ( SV304
= ( c_List_Oappend @ ( c_List_Osko__List__Xrev__cases__1__1 @ SV304 @ SV724 ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__cases__1__2 @ SV304 @ SV724 ) @ ( c_List_Olist_ONil @ SV724 ) @ SV724 ) @ SV724 ) )
| ( SV304
= ( c_List_Olist_ONil @ SV724 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1727]) ).
thf(2151,plain,
! [SV725: $i,SV305: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Obutlast @ SV305 @ SV725 ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ SV305 @ SV725 ) @ ( c_List_Olist_ONil @ SV725 ) @ SV725 ) @ SV725 )
= SV305 )
| ( SV305
= ( c_List_Olist_ONil @ SV725 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1728]) ).
thf(2152,plain,
! [SV726: $i,SV306: $i] :
( ( ! [SY2741: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV306 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV726 @ SY2741 ) @ SV306 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1729]) ).
thf(2153,plain,
! [SV727: $i,SV307: $i] :
( ( ! [SY2742: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV307 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV727 @ SY2742 ) @ SV307 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(2154,plain,
! [SV728: $i,SV308: $i] :
( ( ! [SY2743: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ SV308 @ SV728 @ SY2743 ) @ SY2743 )
= ( c_Set_Oinsert @ SV308 @ ( c_List_Oset @ SV728 @ SY2743 ) @ SY2743 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1731]) ).
thf(2155,plain,
! [SV729: $i,SV309: $i] :
( ( ! [SY2744: $i,SY2745: $i] :
( ~ ( class_Orderings_Olinorder @ SV309 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV729 @ SY2744 @ ( c_List_Olist_ONil @ SY2745 ) @ SY2745 @ SV309 )
= ( c_List_Olist_OCons @ SY2744 @ ( c_List_Olist_ONil @ SY2745 ) @ SY2745 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1732]) ).
thf(2156,plain,
! [SV730: $i,SV310: $i] :
( ( ! [SY2746: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV310 @ SV730 @ SY2746 ) @ SY2746 )
= ( c_List_Olist_OCons @ SV310 @ ( c_List_Obutlast @ SV730 @ SY2746 ) @ SY2746 ) )
| ( SV730
= ( c_List_Olist_ONil @ SY2746 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1733]) ).
thf(2157,plain,
! [SV731: $i,SV311: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV311 @ ( c_List_Olist_ONil @ SV731 ) @ SV731 ) @ SV731 )
= SV311 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1734]) ).
thf(2158,plain,
! [SV732: $i,SV312: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV312 @ ( c_List_Olist_ONil @ SV732 ) @ SV732 ) @ SV732 )
= ( c_List_Olist_ONil @ SV732 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1735]) ).
thf(2159,plain,
! [SV733: $i,SV313: $i] :
( ( ! [SY2747: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV313 @ SV733 @ SY2747 ) @ ( c_List_Olist_ONil @ SY2747 ) @ SY2747 )
= ( c_List_Olist_OCons @ SV313 @ SV733 @ SY2747 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1736]) ).
thf(2160,plain,
! [SV734: $i,SV314: $i] :
( ( ! [SY2748: $i,SY2749: $i] :
( ( ( c_List_OtakeWhile @ SV314 @ ( c_List_Olist_OCons @ SV734 @ SY2748 @ SY2749 ) @ SY2749 )
= ( c_List_Olist_ONil @ SY2749 ) )
| ( hBOOL @ ( hAPP @ SV314 @ SV734 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1737]) ).
thf(2161,plain,
! [SV735: $i,SV315: $i] :
( ( ( c_List_Orev @ ( c_List_Olist_OCons @ SV315 @ ( c_List_Olist_ONil @ SV735 ) @ SV735 ) @ SV735 )
= ( c_List_Olist_OCons @ SV315 @ ( c_List_Olist_ONil @ SV735 ) @ SV735 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1738]) ).
thf(2162,plain,
! [SV736: $i,SV316: $i] :
( ( ! [SY2750: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV316 @ SV736 @ SY2750 ) @ SY2750 )
= ( c_List_Olast @ SV736 @ SY2750 ) )
| ( SV736
= ( c_List_Olist_ONil @ SY2750 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1739]) ).
thf(2163,plain,
! [SV737: $i,SV317: $i] :
( ( ( c_List_Olist_OCons @ SV317 @ ( c_List_Olist_ONil @ SV737 ) @ SV737 )
= ( c_List_Orev @ ( c_List_Olist_OCons @ SV317 @ ( c_List_Olist_ONil @ SV737 ) @ SV737 ) @ SV737 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1740]) ).
thf(2164,plain,
! [SV738: $i,SV318: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV318 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV738 @ ( c_List_Olist_ONil @ SV318 ) @ SV318 ) @ SV318 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1741]) ).
thf(2165,plain,
! [SV739: $i,SV319: $i] :
( ( ! [SY2751: $i,SY2752: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV319 @ SV739 @ SY2751 ) @ ( c_List_Olist_OCons @ SV739 @ SY2752 @ SY2751 ) @ SY2751 )
= ( c_List_Olist_OCons @ SV739 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV319 @ SV739 @ SY2751 ) @ SY2752 @ SY2751 ) @ SY2751 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1742]) ).
thf(2166,plain,
! [SV740: $i,SV320: $i] :
( ( ! [SY2753: $i,SY2754: $i,SY2755: $i] :
( ( ( c_List_OtakeWhile @ SV320 @ ( c_List_Oappend @ SV740 @ ( c_List_Olist_OCons @ SY2753 @ SY2754 @ SY2755 ) @ SY2755 ) @ SY2755 )
= ( c_List_OtakeWhile @ SV320 @ SV740 @ SY2755 ) )
| ( hBOOL @ ( hAPP @ SV320 @ SY2753 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(2167,plain,
! [SV741: $i,SV321: $i] :
( ( ! [SY2756: $i,SY2757: $i,SY2758: $i] :
( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ ( c_List_Oappend @ SV741 @ ( c_List_Olist_OCons @ SY2756 @ SY2757 @ SY2758 ) @ SY2758 ) @ SY2758 ) ) )
| ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ SV741 @ SY2758 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV321 @ SY2756 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(2168,plain,
! [SV742: $i,SV322: $i] :
( ( ! [SY2759: $i,SY2760: $i,SY2761: $i] :
( ( c_List_Oconcat__map @ SV322 @ ( c_List_Olist_OCons @ SV742 @ SY2759 @ SY2760 ) @ SY2760 @ SY2761 )
= ( c_List_Oappend @ ( hAPP @ SV322 @ SV742 ) @ ( c_List_Oconcat__map @ SV322 @ SY2759 @ SY2760 @ SY2761 ) @ SY2761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1745]) ).
thf(2169,plain,
! [SV743: $i,SV323: $i] :
( ( ! [SY2762: $i,SY2763: $i,SY2764: $i] :
( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ ( c_List_Oappend @ SV743 @ ( c_List_Olist_OCons @ SY2762 @ SY2763 @ SY2764 ) @ SY2764 ) @ SY2764 ) ) )
| ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ SY2763 @ SY2764 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV323 @ SY2762 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1746]) ).
thf(2170,plain,
! [SV744: $i,SV324: $i] :
( ( ! [SY2765: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV324 @ SV744 @ SY2765 ) @ SY2765 )
= ( c_List_Oappend @ SV324 @ ( c_List_Obutlast @ SV744 @ SY2765 ) @ SY2765 ) )
| ( SV744
= ( c_List_Olist_ONil @ SY2765 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1747]) ).
thf(2171,plain,
! [SV745: $i,SV325: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ ( c_List_Olist_ONil @ SV325 ) @ SV745 @ SV325 ) @ SV325 )
= ( c_List_Ohd @ SV745 @ SV325 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1748]) ).
thf(2172,plain,
! [SV746: $i,SV326: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV326 @ ( c_List_Olist_ONil @ SV746 ) @ SV746 ) @ SV746 )
= ( c_List_Olast @ SV326 @ SV746 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(2173,plain,
! [SV747: $i,SV327: $i] :
( ( ! [SY2766: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV327 @ SV747 @ SY2766 ) @ SY2766 )
= ( c_List_Olast @ SV747 @ SY2766 ) )
| ( SV747
= ( c_List_Olist_ONil @ SY2766 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1750]) ).
thf(2174,plain,
! [SV748: $i,SV328: $i] :
( ( ! [SY2767: $i] :
( ( ( c_List_Otl @ ( c_List_Oappend @ SV328 @ SV748 @ SY2767 ) @ SY2767 )
= ( c_List_Oappend @ ( c_List_Otl @ SV328 @ SY2767 ) @ SV748 @ SY2767 ) )
| ( SV328
= ( c_List_Olist_ONil @ SY2767 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1751]) ).
thf(2175,plain,
! [SV749: $i,SV329: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV329 @ ( c_List_Olist_ONil @ SV749 ) @ SV749 ) @ SV749 )
= ( c_List_Obutlast @ SV329 @ SV749 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1752]) ).
thf(2176,plain,
! [SV750: $i,SV330: $i] :
( ( ! [SY2768: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ SV330 @ SV750 @ SY2768 ) @ SY2768 )
= ( c_List_Ohd @ SV330 @ SY2768 ) )
| ( SV330
= ( c_List_Olist_ONil @ SY2768 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1753]) ).
thf(2177,plain,
! [SV751: $i,SV331: $i] :
( ( ! [SY2769: $i,SY2770: $i,SY2771: $i] :
( ~ ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV751 ) ) @ tc_Message_Omsg )
| ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2769 @ SY2770 @ SY2771 ) @ SV751 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1754]) ).
thf(2178,plain,
! [SV752: $i,SV332: $i] :
( ( ! [SY2772: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV332 @ SV752 ) @ ( c_Event_Oknows @ SV332 @ ( c_List_Olist_OCons @ SY2772 @ SV752 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1755]) ).
thf(2179,plain,
! [SV753: $i,SV334: $i] :
( ( ! [SY2773: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ SV334 @ ( c_List_Olist_OCons @ SV753 @ ( c_List_Olist_ONil @ SY2773 ) @ SY2773 ) @ SY2773 ) @ SY2773 )
= SV753 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1757]) ).
thf(2180,plain,
! [SV754: $i,SV335: $i] :
( ( ! [SY2774: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ SV335 @ ( c_List_Olist_OCons @ SV754 @ ( c_List_Olist_ONil @ SY2774 ) @ SY2774 ) @ SY2774 ) @ SY2774 )
= SV335 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1758]) ).
thf(2181,plain,
! [SV755: $i,SV336: $i] :
( ( ! [SY2775: $i] :
( ( c_List_Orev @ ( c_List_Olist_OCons @ SV336 @ SV755 @ SY2775 ) @ SY2775 )
= ( c_List_Oappend @ ( c_List_Orev @ SV755 @ SY2775 ) @ ( c_List_Olist_OCons @ SV336 @ ( c_List_Olist_ONil @ SY2775 ) @ SY2775 ) @ SY2775 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1759]) ).
thf(2182,plain,
! [SV756: $i,SV337: $i] :
( ( ! [SY2776: $i] :
( ( c_List_Orev @ ( c_List_Oappend @ ( c_List_Orev @ SV337 @ SV756 ) @ ( c_List_Olist_OCons @ SY2776 @ ( c_List_Olist_ONil @ SV756 ) @ SV756 ) @ SV756 ) @ SV756 )
= ( c_List_Olist_OCons @ SY2776 @ SV337 @ SV756 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1760]) ).
thf(2183,plain,
! [SV757: $i,SV338: $i] :
( ( ! [SY2777: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ SV338 @ SV757 @ SY2777 ) @ SY2777 )
= ( c_List_Oappend @ SV757 @ ( c_List_Olist_OCons @ SV338 @ ( c_List_Olist_ONil @ SY2777 ) @ SY2777 ) @ SY2777 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1761]) ).
thf(2184,plain,
! [SV758: $i,SV339: $i] :
( ( ! [SY2778: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV339 @ SV758 @ SY2778 ) @ ( c_List_Olist_OCons @ SV758 @ ( c_List_Olist_ONil @ SY2778 ) @ SY2778 ) @ SY2778 )
= ( c_List_Olist_OCons @ SV758 @ ( c_List_Oreplicate @ SV339 @ SV758 @ SY2778 ) @ SY2778 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1762]) ).
thf(2185,plain,
! [SV759: $i,SV340: $i] :
( ( ! [SY2779: $i] :
( ( c_Event_Oknows @ SV340 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV340 @ SV759 ) @ SY2779 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV759 @ ( c_Event_Oknows @ SV340 @ SY2779 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1763]) ).
thf(2186,plain,
! [SV760: $i,SV341: $i] :
( ( ! [SY2780: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV341 @ SV760 ) @ SY2780 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2780 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1764]) ).
thf(2187,plain,
! [SV761: $i,SV342: $i] :
( ( ! [SY2781: $i,SY2782: $i,SY2783: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV342 @ SV761 ) @ ( c_Event_Oknows @ SV342 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2781 @ SY2782 @ SY2783 ) @ SV761 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1765]) ).
thf(2188,plain,
! [SV762: $i,SV343: $i] :
( ( ! [SY2784: $i] :
( ( ( c_Event_Oknows @ SV343 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV343 @ SV762 ) @ SY2784 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV762 @ ( c_Event_Oknows @ SV343 @ SY2784 ) @ tc_Message_Omsg ) )
| ( SV343 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1766]) ).
thf(2189,plain,
! [SV763: $i,SV344: $i] :
( ( ! [SY2785: $i,SY2786: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV344 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV763 @ SY2785 @ SY2786 ) @ SV344 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1767]) ).
thf(2190,plain,
! [SV764: $i,SV345: $i] :
( ( ! [SY2787: $i,SY2788: $i] :
( ( c_List_Oappend @ SV345 @ ( c_List_Oappend @ SV764 @ SY2787 @ SY2788 ) @ SY2788 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV345 @ SV764 @ SY2788 ) @ SY2787 @ SY2788 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1768]) ).
thf(2191,plain,
! [SV765: $i,SV346: $i] :
( ( ! [SY2789: $i,SY2790: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV346 @ SV765 @ SY2789 ) @ SY2790 @ SY2789 )
= ( c_List_Oappend @ SV346 @ ( c_List_Oappend @ SV765 @ SY2790 @ SY2789 ) @ SY2789 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1769]) ).
thf(2192,plain,
! [SV766: $i,SV347: $i] :
( ( ! [SY2791: $i,SY2792: $i] :
( ( c_List_Oappend @ SV347 @ ( c_List_Oappend @ SV766 @ SY2791 @ SY2792 ) @ SY2792 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV347 @ SV766 @ SY2792 ) @ SY2791 @ SY2792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1770]) ).
thf(2193,plain,
! [SV767: $i,SV348: $i] :
( ( ! [SY2793: $i,SY2794: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV348 @ SV767 @ SY2793 ) @ SY2794 @ SY2793 )
= ( c_List_Oappend @ SV348 @ ( c_List_Oappend @ SV767 @ SY2794 @ SY2793 ) @ SY2793 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1771]) ).
thf(2194,plain,
! [SV768: $i,SV350: $i] :
( ( ! [SY2795: $i,SY2796: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV350 @ SV768 @ SY2795 ) @ SY2796 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2795 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2796 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1773]) ).
thf(2195,plain,
! [SV769: $i,SV351: $i] :
( ( ! [SY2797: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV351 ) @ ( c_List_Olist_OCons @ SV769 @ SY2797 @ SV351 ) @ SV351 )
= ( c_List_Olist_OCons @ SV769 @ SY2797 @ SV351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1774]) ).
thf(2196,plain,
! [SV770: $i,SV352: $i] :
( ( ! [SY2798: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV352 @ SV770 @ SY2798 ) @ SV352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1775]) ).
thf(2197,plain,
! [SV771: $i,SV353: $i] :
( ( ! [SY2799: $i,SY2800: $i] :
( ( c_Event_Oknows @ SV353 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV353 @ SV771 @ SY2799 ) @ SY2800 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2799 @ ( c_Event_Oknows @ SV353 @ SY2800 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1776]) ).
thf(2198,plain,
! [SV772: $i,SV354: $i] :
( ( ! [SY2801: $i,SY2802: $i] :
( ( hBOOL @ ( hAPP @ SV354 @ SV772 ) )
| ( SY2801 = SV772 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY2801 @ SV354 @ SY2802 ) @ SV772 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(2199,plain,
! [SV773: $i,SV355: $i] :
( ( ! [SY2803: $i] :
( ( c_Set_Oinsert @ SV355 @ ( c_Set_Oinsert @ SV355 @ SV773 @ SY2803 ) @ SY2803 )
= ( c_Set_Oinsert @ SV355 @ SV773 @ SY2803 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1778]) ).
thf(2200,plain,
! [SV774: $i,SV356: $i] :
( ( SV356
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV774 ) @ SV356 @ SV774 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1779]) ).
thf(2201,plain,
! [SV775: $i,SV357: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV357 ) @ SV775 @ SV357 )
= SV775 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1780]) ).
thf(2202,plain,
! [SV776: $i,SV358: $i] :
( ( SV358
= ( c_List_Oappend @ SV358 @ ( c_List_Olist_ONil @ SV776 ) @ SV776 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1781]) ).
thf(2203,plain,
! [SV777: $i,SV359: $i] :
( ( SV359
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV777 ) @ SV359 @ SV777 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1782]) ).
thf(2204,plain,
! [SV778: $i,SV360: $i] :
( ( ( c_List_Oappend @ SV360 @ ( c_List_Olist_ONil @ SV778 ) @ SV778 )
= SV360 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1783]) ).
thf(2205,plain,
! [SV779: $i,SV361: $i] :
( ( ! [SY2804: $i,SY2805: $i] :
( ( c_Set_Oinsert @ SV361 @ ( c_Set_Oinsert @ SV779 @ SY2804 @ SY2805 ) @ SY2805 )
= ( c_Set_Oinsert @ SV779 @ ( c_Set_Oinsert @ SV361 @ SY2804 @ SY2805 ) @ SY2805 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(2206,plain,
! [SV780: $i,SV362: $i] :
( ( ! [SY2806: $i,SY2807: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV362 @ SV780 @ SY2806 ) @ SY2807 @ SY2806 )
= ( c_List_Olist_OCons @ SV362 @ ( c_List_Oappend @ SV780 @ SY2807 @ SY2806 ) @ SY2806 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1785]) ).
thf(2207,plain,
! [SV781: $i,SV363: $i] :
( ( ! [SY2808: $i,SY2809: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV363 @ SV781 @ SY2808 ) @ SY2809 @ SY2808 )
= ( c_List_Olist_OCons @ SV363 @ ( c_List_Oappend @ SV781 @ SY2809 @ SY2808 ) @ SY2808 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1786]) ).
thf(2208,plain,
! [SV782: $i,SV364: $i] :
( ( ! [SY2810: $i,SY2811: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV364 @ SV782 @ SY2810 ) @ SY2811 ) )
| ~ ( hBOOL @ ( hAPP @ SV782 @ SY2811 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(2209,plain,
! [SV783: $i,SV365: $i] :
( ( ! [SY2812: $i,SY2813: $i] :
( ( c_List_Olist_OCons @ SV365 @ ( c_List_Oappend @ SV783 @ SY2812 @ SY2813 ) @ SY2813 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV365 @ SV783 @ SY2813 ) @ SY2812 @ SY2813 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1788]) ).
thf(2210,plain,
! [SV784: $i,SV366: $i] :
( ( ! [SY2814: $i,SY2815: $i] :
( ( c_List_Olist_OCons @ SV366 @ ( c_List_Oappend @ SV784 @ SY2814 @ SY2815 ) @ SY2815 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV366 @ SV784 @ SY2815 ) @ SY2814 @ SY2815 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1789]) ).
thf(2211,plain,
! [SV785: $i,SV367: $i] :
( ( ! [SY2816: $i] :
( ( c_List_Olist_OCons @ SV367 @ SV785 @ SY2816 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2816 ) @ ( c_List_Olist_OCons @ SV367 @ SV785 @ SY2816 ) @ SY2816 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(2212,plain,
! [SV786: $i,SV369: $i] :
( ( ( class_Orderings_Opreorder @ ( tc_fun @ SV369 @ SV786 ) )
| ~ ( class_Orderings_Opreorder @ SV786 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1792]) ).
thf(2213,plain,
! [SV787: $i,SV370: $i] :
( ( ( class_Orderings_Oorder @ ( tc_fun @ SV370 @ SV787 ) )
| ~ ( class_Orderings_Oorder @ SV787 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(2214,plain,
! [SV788: $i,SV371: $i] :
( ( ( class_HOL_Oord @ ( tc_fun @ SV371 @ SV788 ) )
| ~ ( class_HOL_Oord @ SV788 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1794]) ).
thf(2215,plain,
! [SV789: $i,SV372: $i] :
( ( c_fequal @ SV372 @ SV372 @ SV789 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(2216,plain,
! [SV790: $i,SV373: $i] :
( ( ! [SY2817: $i] :
( ( SV373 = SV790 )
| ~ ( c_fequal @ SV373 @ SV790 @ SY2817 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(2217,plain,
! [SV791: $i,SV374: $i] :
( ( ! [SY2818: $i,SY2819: $i] :
( ( ( c_List_Oappend @ SV374 @ SV791 @ SY2818 )
!= ( c_List_Oappend @ SV374 @ SY2819 @ SY2818 ) )
| ( SV791 = SY2819 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(2218,plain,
! [SV792: $i,SV375: $i] :
( ( ! [SY2820: $i,SY2821: $i] :
( ( c_Event_Oevent_ONotes @ SV375 @ SV792 )
!= ( c_Event_Oevent_OGets @ SY2820 @ SY2821 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1799]) ).
thf(2219,plain,
! [SV793: $i,SV376: $i] :
( ( ! [SY2822: $i] :
( ( ( c_List_Olist_ONil @ SV376 )
!= ( c_List_Oappend @ SV793 @ SY2822 @ SV376 ) )
| ( SV793
= ( c_List_Olist_ONil @ SV376 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1800]) ).
thf(2220,plain,
! [SV794: $i,SV377: $i] :
( ( ! [SY2823: $i] :
( ( ( c_List_Orev @ SV377 @ SV794 )
!= ( c_List_Orev @ SY2823 @ SV794 ) )
| ( SV377 = SY2823 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1801]) ).
thf(2221,plain,
! [SV795: $i,SV378: $i] :
( ( ! [SY2824: $i,SY2825: $i,SY2826: $i] :
( ( ( c_List_Olist_OCons @ SV378 @ SV795 @ SY2824 )
!= ( c_List_Olist_OCons @ SY2825 @ SY2826 @ SY2824 ) )
| ( SV795 = SY2826 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(2222,plain,
! [SV796: $i,SV379: $i] :
( ( ! [SY2827: $i,SY2828: $i,SY2829: $i] :
( ( c_Event_Oevent_OSays @ SV379 @ SV796 @ SY2827 )
!= ( c_Event_Oevent_OGets @ SY2828 @ SY2829 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1803]) ).
thf(2223,plain,
! [SV797: $i,SV380: $i] :
( ( ! [SY2830: $i,SY2831: $i,SY2832: $i] :
( ( ( c_List_Ofilter @ SV380 @ SV797 @ SY2830 )
!= ( c_List_Olist_OCons @ SY2831 @ SY2832 @ SY2830 ) )
| ( hBOOL @ ( hAPP @ SV380 @ SY2831 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1804]) ).
thf(2224,plain,
! [SV798: $i,SV381: $i] :
( ( ! [SY2833: $i,SY2834: $i] :
( ( ( c_List_Ofilter @ SV381 @ SV798 @ SY2833 )
!= SV798 )
| ( hBOOL @ ( hAPP @ SV381 @ SY2834 ) )
| ~ ( c_in @ SY2834 @ ( c_List_Oset @ SV798 @ SY2833 ) @ SY2833 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1805]) ).
thf(2225,plain,
! [SV799: $i,SV382: $i] :
( ( ! [SY2835: $i] :
( ( ( c_List_Oappend @ SV382 @ SV799 @ SY2835 )
!= ( c_List_Olist_ONil @ SY2835 ) )
| ( SV799
= ( c_List_Olist_ONil @ SY2835 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1806]) ).
thf(2226,plain,
! [SV800: $i,SV383: $i] :
( ( ( ( c_List_Olist_ONil @ SV383 )
!= ( c_List_Orev @ SV800 @ SV383 ) )
| ( SV800
= ( c_List_Olist_ONil @ SV383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1807]) ).
thf(2227,plain,
! [SV801: $i,SV384: $i] :
( ( ! [SY2836: $i,SY2837: $i,SY2838: $i] :
( ( ( c_List_Olist_OCons @ SV384 @ SV801 @ SY2836 )
!= ( c_List_Ofilter @ SY2837 @ SY2838 @ SY2836 ) )
| ( hBOOL @ ( hAPP @ SY2837 @ SV384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(2228,plain,
! [SV802: $i,SV385: $i] :
( ( ! [SY2839: $i,SY2840: $i] :
( ( c_Event_Oevent_OGets @ SV385 @ SV802 )
!= ( c_Event_Oevent_ONotes @ SY2839 @ SY2840 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1809]) ).
thf(2229,plain,
! [SV803: $i,SV386: $i] :
( ( ! [SY2841: $i] :
( ~ ( class_Orderings_Olinorder @ SV386 )
| ( ( c_List_Oset @ SV803 @ SV386 )
!= ( c_List_Oset @ SY2841 @ SV386 ) )
| ~ ( c_List_Odistinct @ SY2841 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2841 @ SV386 )
| ~ ( c_List_Odistinct @ SV803 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SY2841 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1810]) ).
thf(2230,plain,
! [SV804: $i,SV387: $i] :
( ( ! [SY2842: $i,SY2843: $i,SY2844: $i] :
( ( c_Event_Oevent_ONotes @ SV387 @ SV804 )
!= ( c_Event_Oevent_OSays @ SY2842 @ SY2843 @ SY2844 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1811]) ).
thf(2231,plain,
! [SV805: $i,SV388: $i] :
( ( ! [SY2845: $i,SY2846: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV388 @ SV805 )
!= ( c_Message_Omsg_OCrypt @ SY2845 @ SY2846 ) )
| ( SV388 = SY2845 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1812]) ).
thf(2232,plain,
! [SV806: $i,SV389: $i] :
( ( ! [SY2847: $i,SY2848: $i,SY2849: $i] :
( ( c_Event_Oevent_OGets @ SV389 @ SV806 )
!= ( c_Event_Oevent_OSays @ SY2847 @ SY2848 @ SY2849 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1813]) ).
thf(2233,plain,
! [SV807: $i,SV390: $i] :
( ( ( ( c_Public_OshrK @ SV390 )
!= ( c_Public_OshrK @ SV807 ) )
| ( SV390 = SV807 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1814]) ).
thf(2234,plain,
! [SV808: $i,SV391: $i] :
( ( ! [SY2850: $i,SY2851: $i,SY2852: $i] :
( ( ( c_List_Olist_OCons @ SV391 @ SV808 @ SY2850 )
!= ( c_List_Oappend @ SY2851 @ SY2852 @ SY2850 ) )
| ( SV808
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV391 @ SV808 @ SY2851 @ SY2852 @ SY2850 ) @ SY2852 @ SY2850 ) )
| ( SY2851
= ( c_List_Olist_ONil @ SY2850 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1815]) ).
thf(2235,plain,
! [SV809: $i,SV392: $i] :
( ( ! [SY2853: $i,SY2854: $i,SY2855: $i] :
( ( ( c_List_Oappend @ SV392 @ ( c_List_Olist_OCons @ SV809 @ ( c_List_Olist_ONil @ SY2853 ) @ SY2853 ) @ SY2853 )
!= ( c_List_Oappend @ SY2854 @ ( c_List_Olist_OCons @ SY2855 @ ( c_List_Olist_ONil @ SY2853 ) @ SY2853 ) @ SY2853 ) )
| ( SV809 = SY2855 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1816]) ).
thf(2236,plain,
! [SV810: $i,SV393: $i] :
( ( ! [SY2856: $i,SY2857: $i,SY2858: $i,SY2859: $i] :
( ( ( c_Event_Oevent_OSays @ SV393 @ SV810 @ SY2856 )
!= ( c_Event_Oevent_OSays @ SY2857 @ SY2858 @ SY2859 ) )
| ( SY2856 = SY2859 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1817]) ).
thf(2237,plain,
! [SV811: $i,SV394: $i] :
( ( ! [SY2860: $i,SY2861: $i,SY2862: $i] :
( ( ( c_List_Oappend @ SV394 @ SV811 @ SY2860 )
!= ( c_List_Olist_OCons @ SY2861 @ SY2862 @ SY2860 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY2861 @ SY2862 @ SV394 @ SV811 @ SY2860 ) @ SV811 @ SY2860 )
= SY2862 )
| ( SV811
= ( c_List_Olist_OCons @ SY2861 @ SY2862 @ SY2860 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(2238,plain,
! [SV812: $i,SV395: $i] :
( ( ! [SY2863: $i,SY2864: $i] :
( ( ( c_List_Olist__update @ SV395 @ SV812 @ SY2863 @ SY2864 )
!= ( c_List_Olist_ONil @ SY2864 ) )
| ( SV395
= ( c_List_Olist_ONil @ SY2864 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1819]) ).
thf(2239,plain,
! [SV813: $i,SV396: $i] :
( ( ! [SY2865: $i,SY2866: $i,SY2867: $i] :
( ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SY2865 )
!= ( c_List_Oappend @ SY2866 @ SY2867 @ SY2865 ) )
| ( ( c_List_Olist_OCons @ SV396 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV396 @ SV813 @ SY2866 @ SY2867 @ SY2865 ) @ SY2865 )
= SY2866 )
| ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SY2865 )
= SY2867 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1820]) ).
thf(2240,plain,
! [SV814: $i,SV397: $i] :
( ( ! [SY2868: $i] :
( ( SV397
!= ( c_List_Oappend @ SV397 @ SV814 @ SY2868 ) )
| ( SV814
= ( c_List_Olist_ONil @ SY2868 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1821]) ).
thf(2241,plain,
! [SV815: $i,SV398: $i] :
( ( ! [SY2869: $i,SY2870: $i] :
( ( ( c_List_Ofilter @ SV398 @ SV815 @ SY2869 )
!= ( c_List_Olist_ONil @ SY2869 ) )
| ~ ( hBOOL @ ( hAPP @ SV398 @ SY2870 ) )
| ~ ( c_in @ SY2870 @ ( c_List_Oset @ SV815 @ SY2869 ) @ SY2869 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1822]) ).
thf(2242,plain,
! [SV816: $i,SV399: $i] :
( ( ! [SY2871: $i,SY2872: $i,SY2873: $i] :
( ( ( c_List_Oreplicate @ SV399 @ SV816 @ SY2871 )
!= ( c_List_Oreplicate @ SY2872 @ SY2873 @ SY2871 ) )
| ( SV399 = SY2872 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1823]) ).
thf(2243,plain,
! [SV817: $i,SV400: $i] :
( ( ! [SY2874: $i,SY2875: $i,SY2876: $i] :
( ( ( c_List_Olist_OCons @ SV400 @ SV817 @ SY2874 )
!= ( c_List_Oappend @ SY2875 @ SY2876 @ SY2874 ) )
| ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV400 @ SV817 @ SY2875 @ SY2876 @ SY2874 ) @ SY2874 )
= SY2875 )
| ( SY2875
= ( c_List_Olist_ONil @ SY2874 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1824]) ).
thf(2244,plain,
! [SV818: $i,SV401: $i] :
( ( ! [SY2877: $i,SY2878: $i,SY2879: $i] :
( ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SY2877 )
!= ( c_List_Oappend @ SY2878 @ SY2879 @ SY2877 ) )
| ( SV818
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV401 @ SV818 @ SY2878 @ SY2879 @ SY2877 ) @ SY2879 @ SY2877 ) )
| ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SY2877 )
= SY2879 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1825]) ).
thf(2245,plain,
! [SV819: $i,SV402: $i] :
( ( ! [SY2880: $i,SY2881: $i,SY2882: $i] :
( ( c_Event_Oevent_OSays @ SV402 @ SV819 @ SY2880 )
!= ( c_Event_Oevent_ONotes @ SY2881 @ SY2882 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1826]) ).
thf(2246,plain,
! [SV820: $i,SV403: $i] :
( ( ! [SY2883: $i] :
( ( ( c_List_Olist_OCons @ SV403 @ ( c_List_Olist_ONil @ SV820 ) @ SV820 )
!= ( c_List_Orev @ SY2883 @ SV820 ) )
| ( SY2883
= ( c_List_Olist_OCons @ SV403 @ ( c_List_Olist_ONil @ SV820 ) @ SV820 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1827]) ).
thf(2247,plain,
! [SV821: $i,SV404: $i] :
( ( ! [SY2884: $i,SY2885: $i] :
( ( ( c_Event_Oevent_ONotes @ SV404 @ SV821 )
!= ( c_Event_Oevent_ONotes @ SY2884 @ SY2885 ) )
| ( SV404 = SY2884 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1828]) ).
thf(2248,plain,
! [SV822: $i,SV405: $i] :
( ( ! [SY2886: $i,SY2887: $i] :
( ( ( c_Event_Oevent_OGets @ SV405 @ SV822 )
!= ( c_Event_Oevent_OGets @ SY2886 @ SY2887 ) )
| ( SV405 = SY2886 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1829]) ).
thf(2249,plain,
! [SV823: $i,SV406: $i] :
( ( ! [SY2888: $i,SY2889: $i,SY2890: $i,SY2891: $i] :
( ( ( c_Event_Oevent_OSays @ SV406 @ SV823 @ SY2888 )
!= ( c_Event_Oevent_OSays @ SY2889 @ SY2890 @ SY2891 ) )
| ( SV823 = SY2890 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1830]) ).
thf(2250,plain,
! [SV824: $i,SV407: $i] :
( ( ( ( c_List_Orotate1 @ SV407 @ SV824 )
!= ( c_List_Olist_ONil @ SV824 ) )
| ( SV407
= ( c_List_Olist_ONil @ SV824 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1831]) ).
thf(2251,plain,
! [SV825: $i,SV408: $i] :
( ( ( ( c_List_Orev @ SV408 @ SV825 )
!= ( c_List_Olist_ONil @ SV825 ) )
| ( SV408
= ( c_List_Olist_ONil @ SV825 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1832]) ).
thf(2252,plain,
! [SV826: $i,SV409: $i] :
( ( ! [SY2892: $i,SY2893: $i,SY2894: $i,SY2895: $i] :
( ( ( c_Event_Oevent_OSays @ SV409 @ SV826 @ SY2892 )
!= ( c_Event_Oevent_OSays @ SY2893 @ SY2894 @ SY2895 ) )
| ( SV409 = SY2893 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1833]) ).
thf(2253,plain,
! [SV827: $i,SV410: $i] :
( ( ! [SY2896: $i,SY2897: $i,SY2898: $i] :
( ( ( c_List_OdropWhile @ SV410 @ SV827 @ SY2896 )
!= ( c_List_Olist_OCons @ SY2897 @ SY2898 @ SY2896 ) )
| ~ ( hBOOL @ ( hAPP @ SV410 @ SY2897 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1834]) ).
thf(2254,plain,
! [SV828: $i,SV411: $i] :
( ( ! [SY2899: $i,SY2900: $i] :
( ( ( c_List_Oappend @ SV411 @ SV828 @ SY2899 )
!= ( c_List_Oappend @ SY2900 @ SV828 @ SY2899 ) )
| ( SV411 = SY2900 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1835]) ).
thf(2255,plain,
! [SV829: $i,SV412: $i] :
( ( ! [SY2901: $i] :
( SV412
!= ( c_List_Olist_OCons @ SV829 @ SV412 @ SY2901 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1836]) ).
thf(2256,plain,
! [SV830: $i,SV413: $i] :
( ( ! [SY2902: $i] :
( ( c_List_Olist_OCons @ SV413 @ SV830 @ SY2902 )
!= ( c_List_Olist_ONil @ SY2902 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1837]) ).
thf(2257,plain,
! [SV831: $i,SV414: $i] :
( ( ! [SY2903: $i] :
( ( ( c_List_Oappend @ SV414 @ SV831 @ SY2903 )
!= SV831 )
| ( SV414
= ( c_List_Olist_ONil @ SY2903 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1838]) ).
thf(2258,plain,
! [SV832: $i,SV415: $i] :
( ( ! [SY2904: $i,SY2905: $i] :
( ( ( c_List_OtakeWhile @ SV415 @ SV832 @ SY2904 )
!= SV832 )
| ( hBOOL @ ( hAPP @ SV415 @ SY2905 ) )
| ~ ( c_in @ SY2905 @ ( c_List_Oset @ SV832 @ SY2904 ) @ SY2904 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1839]) ).
thf(2259,plain,
! [SV833: $i,SV416: $i] :
( ( ! [SY2906: $i,SY2907: $i] :
( ( ( c_List_Orev @ SV416 @ SV833 )
!= ( c_List_Olist_OCons @ SY2906 @ SY2907 @ SV833 ) )
| ( SV416
= ( c_List_Oappend @ ( c_List_Orev @ SY2907 @ SV833 ) @ ( c_List_Olist_OCons @ SY2906 @ ( c_List_Olist_ONil @ SV833 ) @ SV833 ) @ SV833 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(2260,plain,
! [SV834: $i,SV417: $i] :
( ( ! [SY2908: $i] :
( ( c_List_Olist_ONil @ SV417 )
!= ( c_List_Olist_OCons @ SV834 @ SY2908 @ SV417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1841]) ).
thf(2261,plain,
! [SV835: $i,SV418: $i] :
( ( ( ( c_List_Oremdups @ SV418 @ SV835 )
!= SV418 )
| ( c_List_Odistinct @ SV418 @ SV835 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1842]) ).
thf(2262,plain,
! [SV836: $i,SV419: $i] :
( ( ! [SY2909: $i] :
( ( ( c_Message_Oanalz @ SV419 )
!= ( c_Message_Oanalz @ SV836 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2909 @ SV419 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2909 @ SV836 @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1843]) ).
thf(2263,plain,
! [SV837: $i,SV420: $i] :
( ( ! [SY2910: $i,SY2911: $i] :
( ( ( c_Event_Oevent_ONotes @ SV420 @ SV837 )
!= ( c_Event_Oevent_ONotes @ SY2910 @ SY2911 ) )
| ( SV837 = SY2911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1844]) ).
thf(2264,plain,
! [SV838: $i,SV421: $i] :
( ( ! [SY2912: $i] :
( ( SV421
!= ( c_List_Oappend @ SV838 @ SV421 @ SY2912 ) )
| ( SV838
= ( c_List_Olist_ONil @ SY2912 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1846]) ).
thf(2265,plain,
! [SV839: $i,SV422: $i] :
( ( ! [SY2913: $i,SY2914: $i] :
( ( ( c_Set_Oinsert @ SV422 @ SV839 @ SY2913 )
!= ( c_Set_Oinsert @ SV422 @ SY2914 @ SY2913 ) )
| ( c_in @ SV422 @ SY2914 @ SY2913 )
| ( c_in @ SV422 @ SV839 @ SY2913 )
| ( SV839 = SY2914 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1847]) ).
thf(2266,plain,
! [SV840: $i,SV423: $i] :
( ( ! [SY2915: $i,SY2916: $i,SY2917: $i] :
( ( SV423
!= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV840 @ SV423 @ SY2915 ) @ ( c_List_Olist_OCons @ SY2916 @ SY2917 @ SY2915 ) @ SY2915 ) )
| ( ( c_List_OdropWhile @ SV840 @ SV423 @ SY2915 )
= ( c_List_Olist_OCons @ SY2916 @ SY2917 @ SY2915 ) )
| ( hBOOL @ ( hAPP @ SV840 @ SY2916 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1848]) ).
thf(2267,plain,
! [SV841: $i,SV424: $i] :
( ( ! [SY2918: $i] :
( ( ( c_List_Oappend @ SV424 @ SV841 @ SY2918 )
!= ( c_List_Olist_ONil @ SY2918 ) )
| ( SV424
= ( c_List_Olist_ONil @ SY2918 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1849]) ).
thf(2268,plain,
! [SV842: $i,SV425: $i] :
( ( ( ( c_List_Oremdups @ SV425 @ SV842 )
!= ( c_List_Olist_ONil @ SV842 ) )
| ( SV425
= ( c_List_Olist_ONil @ SV842 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1850]) ).
thf(2269,plain,
! [SV843: $i,SV426: $i] :
( ( ! [SY2919: $i,SY2920: $i,SY2921: $i] :
( ( ( c_List_Oappend @ SV426 @ ( c_List_Olist_OCons @ SV843 @ ( c_List_Olist_ONil @ SY2919 ) @ SY2919 ) @ SY2919 )
!= ( c_List_Oappend @ SY2920 @ ( c_List_Olist_OCons @ SY2921 @ ( c_List_Olist_ONil @ SY2919 ) @ SY2919 ) @ SY2919 ) )
| ( SV426 = SY2920 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1851]) ).
thf(2270,plain,
! [SV844: $i,SV427: $i] :
( ( ! [SY2922: $i,SY2923: $i,SY2924: $i] :
( ( ( c_List_Olist_OCons @ SV427 @ SV844 @ SY2922 )
!= ( c_List_Olist_OCons @ SY2923 @ SY2924 @ SY2922 ) )
| ( SV427 = SY2923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1852]) ).
thf(2271,plain,
! [SV845: $i,SV428: $i] :
( ( ! [SY2925: $i] :
( ( ( c_List_Olist_ONil @ SV428 )
!= ( c_List_Oappend @ SV845 @ SY2925 @ SV428 ) )
| ( SY2925
= ( c_List_Olist_ONil @ SV428 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1853]) ).
thf(2272,plain,
! [SV846: $i,SV429: $i] :
( ( ! [SY2926: $i,SY2927: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV429 @ SV846 )
!= ( c_Message_Omsg_OCrypt @ SY2926 @ SY2927 ) )
| ( SV846 = SY2927 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1854]) ).
thf(2273,plain,
! [SV847: $i,SV430: $i] :
( ( ! [SY2928: $i,SY2929: $i,SY2930: $i] :
( ( ( c_List_Oappend @ SV430 @ SV847 @ SY2928 )
!= ( c_List_Olist_OCons @ SY2929 @ SY2930 @ SY2928 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY2929 @ SY2930 @ SV430 @ SV847 @ SY2928 ) @ SV847 @ SY2928 )
= SY2930 )
| ( SV430
= ( c_List_Olist_ONil @ SY2928 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1855]) ).
thf(2274,plain,
! [SV848: $i,SV431: $i] :
( ( ! [SY2931: $i,SY2932: $i,SY2933: $i] :
( ( ( c_List_OdropWhile @ SV431 @ SV848 @ SY2931 )
!= ( c_List_Olist_OCons @ SY2932 @ SY2933 @ SY2931 ) )
| ( SV848
= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV431 @ SV848 @ SY2931 ) @ ( c_List_Olist_OCons @ SY2932 @ SY2933 @ SY2931 ) @ SY2931 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1856]) ).
thf(2275,plain,
! [SV849: $i,SV432: $i] :
( ( ! [SY2934: $i] :
( ( ( c_List_Orev @ SV432 @ SV849 )
!= ( c_List_Olist_OCons @ SY2934 @ ( c_List_Olist_ONil @ SV849 ) @ SV849 ) )
| ( SV432
= ( c_List_Olist_OCons @ SY2934 @ ( c_List_Olist_ONil @ SV849 ) @ SV849 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1857]) ).
thf(2276,plain,
! [SV850: $i,SV433: $i] :
( ( ! [SY2935: $i] :
( ( c_List_Olist_OCons @ SV433 @ SV850 @ SY2935 )
!= ( c_List_Olist_ONil @ SY2935 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1858]) ).
thf(2277,plain,
! [SV851: $i,SV434: $i] :
( ( ! [SY2936: $i,SY2937: $i] :
( ( ( c_List_OdropWhile @ SV434 @ SV851 @ SY2936 )
!= ( c_List_Olist_ONil @ SY2936 ) )
| ( hBOOL @ ( hAPP @ SV434 @ SY2937 ) )
| ~ ( c_in @ SY2937 @ ( c_List_Oset @ SV851 @ SY2936 ) @ SY2936 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1859]) ).
thf(2278,plain,
! [SV852: $i,SV435: $i] :
( ( ( ( c_List_Olist_ONil @ SV435 )
!= ( c_List_Oremdups @ SV852 @ SV435 ) )
| ( SV852
= ( c_List_Olist_ONil @ SV435 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1860]) ).
thf(2279,plain,
! [SV853: $i,SV436: $i] :
( ( ! [SY2938: $i,SY2939: $i,SY2940: $i] :
( ( ( c_List_Oappend @ SV436 @ SV853 @ SY2938 )
!= ( c_List_Olist_OCons @ SY2939 @ SY2940 @ SY2938 ) )
| ( SV436
= ( c_List_Olist_OCons @ SY2939 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY2939 @ SY2940 @ SV436 @ SV853 @ SY2938 ) @ SY2938 ) )
| ( SV853
= ( c_List_Olist_OCons @ SY2939 @ SY2940 @ SY2938 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1861]) ).
thf(2280,plain,
! [SV854: $i,SV437: $i] :
( ( ! [SY2941: $i] :
( ( ( c_List_Oappend @ SV437 @ SV854 @ SY2941 )
!= SV437 )
| ( SV854
= ( c_List_Olist_ONil @ SY2941 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1862]) ).
thf(2281,plain,
! [SV855: $i,SV438: $i] :
( ( ! [SY2942: $i] :
( ( c_List_Olist_OCons @ SV438 @ SV855 @ SY2942 )
!= SV855 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1863]) ).
thf(2282,plain,
! [SV856: $i,SV439: $i] :
( ( ! [SY2943: $i,SY2944: $i,SY2945: $i] :
( ( ( c_List_Oappend @ SV439 @ SV856 @ SY2943 )
!= ( c_List_Olist_OCons @ SY2944 @ SY2945 @ SY2943 ) )
| ( SV439
= ( c_List_Olist_OCons @ SY2944 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY2944 @ SY2945 @ SV439 @ SV856 @ SY2943 ) @ SY2943 ) )
| ( SV439
= ( c_List_Olist_ONil @ SY2943 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1864]) ).
thf(2283,plain,
! [SV857: $i,SV440: $i] :
( ( ! [SY2946: $i,SY2947: $i] :
( ( ( c_Event_Oevent_OGets @ SV440 @ SV857 )
!= ( c_Event_Oevent_OGets @ SY2946 @ SY2947 ) )
| ( SV857 = SY2947 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1865]) ).
thf(2284,plain,
! [SV858: $i,SV441: $i,SV1: $i] :
( ( ( c_in @ SV1 @ ( c_Event_Oused @ SV441 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV1 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV858 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1866]) ).
thf(2285,plain,
! [SV442: $i,SV2: $i] :
( ( ( c_lessequals @ SV2 @ ( c_Message_Oparts @ SV442 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Oparts @ SV2 ) @ ( c_Message_Oparts @ SV442 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1867]) ).
thf(2286,plain,
! [SV443: $i,SV3: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV3 ) @ ( c_Message_Oparts @ SV443 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV3 @ ( c_Message_Oparts @ SV443 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1868]) ).
thf(2287,plain,
! [SV859: $i,SV444: $i,SV4: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV4 @ SV444 ) @ SV859 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV4 @ SV444 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV444 @ SV859 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1869]) ).
thf(2288,plain,
! [SV445: $i,SV5: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV5 ) @ ( c_Message_Oparts @ SV445 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV5 @ SV445 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1870]) ).
thf(2289,plain,
! [SV446: $i,SV6: $i] :
( ( ( c_in @ SV6 @ ( c_Message_Oparts @ SV446 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV6 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SV446 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1871]) ).
thf(2290,plain,
! [SV860: $i,SV447: $i,SV7: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV7 @ SV447 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV860 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(2291,plain,
! [SV861: $i,SV448: $i,SV8: $i] :
( ( ( c_in @ SV8 @ ( c_Message_Oparts @ SV448 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV861 @ SV8 ) @ ( c_Message_Oparts @ SV448 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(2292,plain,
! [SV449: $i,SV12: $i] :
( ( ( c_in @ SV12 @ ( c_Message_Oparts @ SV449 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV12 @ SV449 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1874]) ).
thf(2293,plain,
! [SV450: $i,SV14: $i] :
( ( ( c_in @ SV14 @ ( c_Message_Oparts @ SV450 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV14 @ ( c_Message_Oanalz @ SV450 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1875]) ).
thf(2294,plain,
! [SV451: $i,SV15: $i] :
( ( ( c_in @ SV15 @ ( c_Message_Oparts @ SV451 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV15 @ ( c_Message_Oanalz @ SV451 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1876]) ).
thf(2295,plain,
! [SV452: $i,SV16: $i] :
( ( ( ~ ( c_in @ SV16 @ ( c_Message_Oanalz @ SV452 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV16 @ ( c_Message_Oparts @ SV452 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1877]) ).
thf(2296,plain,
! [SV453: $i,SV17: $i] :
( ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV17 @ SV453 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SV453 ) )
= $true )
| ( ( ~ ( c_in @ SV17 @ ( c_Message_Oparts @ SV453 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1878]) ).
thf(2297,plain,
! [SV862: $i,SV454: $i,SV18: $i] :
( ( ( c_in @ SV18 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV454 @ SV862 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV18 @ ( c_Message_Oparts @ SV862 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1879]) ).
thf(2298,plain,
! [SV863: $i,SV455: $i,SV19: $i] :
( ( ( c_in @ SV19 @ ( c_Message_Oparts @ SV455 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ SV863 @ ( c_Message_Oparts @ SV455 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV19 @ ( c_Message_Oparts @ SV863 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1880]) ).
thf(2299,plain,
! [SV457: $i,SV22: $i] :
( ( ( c_in @ SV22 @ ( c_Event_Oused @ SV457 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV22 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV457 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1882]) ).
thf(2300,plain,
! [SV458: $i,SV24: $i] :
( ( ( c_in @ SV24 @ ( c_Message_Osynth @ SV458 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV24 @ SV458 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1883]) ).
thf(2301,plain,
! [SV459: $i,SV25: $i] :
( ( ( c_in @ SV25 @ ( c_Message_Osynth @ SV459 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV25 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SV459 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1884]) ).
thf(2302,plain,
! [SV460: $i,SV26: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orev @ SV26 @ SV460 ) @ SV460 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV26 @ SV460 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1885]) ).
thf(2303,plain,
! [SV461: $i,SV27: $i] :
( ( ( c_List_Odistinct @ SV27 @ SV461 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Orev @ SV27 @ SV461 ) @ SV461 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1886]) ).
thf(2304,plain,
! [SV462: $i,SV29: $i] :
( ( ( ( c_List_Oremdups @ SV29 @ SV462 )
= SV29 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV29 @ SV462 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1887]) ).
thf(2305,plain,
! [SV864: $i,SV463: $i,SV30: $i] :
( ( ( c_in @ SV30 @ ( c_Message_Osynth @ SV463 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SV864 @ SV30 ) @ SV463 @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV864 @ SV30 ) @ ( c_Message_Osynth @ SV463 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1888]) ).
thf(2306,plain,
! [SV865: $i,SV464: $i,SV31: $i] :
( ( ! [SY2948: $i] :
( ( ( c_List_OtakeWhile @ SV31 @ SV464 @ SV865 )
= ( c_List_OtakeWhile @ SY2948 @ SV464 @ SV865 ) )
| ~ ( hBOOL @ ( hAPP @ SY2948 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SY2948 @ SV464 @ SV865 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV31 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SY2948 @ SV464 @ SV865 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1889]) ).
thf(2307,plain,
! [SV866: $i,SV465: $i,SV32: $i] :
( ( ! [SY2949: $i] :
( ( ( c_List_OtakeWhile @ SV32 @ SV465 @ SV866 )
= ( c_List_OtakeWhile @ SY2949 @ SV465 @ SV866 ) )
| ( hBOOL @ ( hAPP @ SY2949 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SY2949 @ SV465 @ SV866 ) ) )
| ( hBOOL @ ( hAPP @ SV32 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SY2949 @ SV465 @ SV866 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1890]) ).
thf(2308,plain,
! [SV867: $i,SV466: $i,SV33: $i] :
( ( ! [SY2950: $i,SY2951: $i] :
( ~ ( class_Orderings_Olinorder @ SV33 )
| ( c_List_Odistinct @ SV466 @ SV867 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SY2950 @ SY2951 @ SV466 @ SV867 @ SV33 ) @ SV867 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1891]) ).
thf(2309,plain,
! [SV868: $i,SV467: $i,SV34: $i] :
( ( ( c_List_Odistinct @ ( c_List_OtakeWhile @ SV34 @ SV467 @ SV868 ) @ SV868 )
| ~ ( c_List_Odistinct @ SV467 @ SV868 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1892]) ).
thf(2310,plain,
! [SV869: $i,SV468: $i,SV35: $i] :
( ( ! [SY2952: $i] :
( ( ( c_List_Ofilter @ SV35 @ ( c_List_Olist_OCons @ SV468 @ SV869 @ SY2952 ) @ SY2952 )
= ( c_List_Ofilter @ SV35 @ SV869 @ SY2952 ) )
| ( hBOOL @ ( hAPP @ SV35 @ SV468 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1893]) ).
thf(2311,plain,
! [SV870: $i,SV469: $i,SV36: $i] :
( ( ! [SY2953: $i] :
( ( ( c_List_OdropWhile @ SV36 @ ( c_List_Olist_OCons @ SV469 @ SV870 @ SY2953 ) @ SY2953 )
= ( c_List_Olist_OCons @ SV469 @ SV870 @ SY2953 ) )
| ( hBOOL @ ( hAPP @ SV36 @ SV469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1894]) ).
thf(2312,plain,
! [SV871: $i,SV470: $i,SV37: $i] :
( ( ! [SY2954: $i] :
( ( ( c_List_OdropWhile @ SV37 @ ( c_List_Olist_OCons @ SV470 @ SV871 @ SY2954 ) @ SY2954 )
= ( c_List_OdropWhile @ SV37 @ SV871 @ SY2954 ) )
| ~ ( hBOOL @ ( hAPP @ SV37 @ SV470 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1895]) ).
thf(2313,plain,
! [SV872: $i,SV471: $i,SV38: $i] :
( ( ! [SY2955: $i] :
( ( ( c_List_Oremove1 @ SV38 @ ( c_List_Olist_OCons @ SV471 @ SV872 @ SY2955 ) @ SY2955 )
= ( c_List_Olist_OCons @ SV471 @ ( c_List_Oremove1 @ SV38 @ SV872 @ SY2955 ) @ SY2955 ) )
| ( SV38 = SV471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1896]) ).
thf(2314,plain,
! [SV873: $i,SV472: $i,SV39: $i] :
( ( ! [SY2956: $i] :
( ( ( c_List_Ofilter @ SV39 @ ( c_List_Olist_OCons @ SV472 @ SV873 @ SY2956 ) @ SY2956 )
= ( c_List_Olist_OCons @ SV472 @ ( c_List_Ofilter @ SV39 @ SV873 @ SY2956 ) @ SY2956 ) )
| ~ ( hBOOL @ ( hAPP @ SV39 @ SV472 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1897]) ).
thf(2315,plain,
! [SV874: $i,SV473: $i,SV40: $i] :
( ( ( c_List_Oremove1 @ SV40 @ ( c_List_Olist_OCons @ SV40 @ SV473 @ SV874 ) @ SV874 )
= SV473 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1898]) ).
thf(2316,plain,
! [SV875: $i,SV474: $i,SV41: $i] :
( ( ( c_List_Odistinct @ SV41 @ SV474 )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV875 @ SV41 @ SV474 ) @ SV474 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1899]) ).
thf(2317,plain,
! [SV876: $i,SV478: $i,SV48: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV48 ) @ SV478 @ SV876 @ SV48 )
= ( c_List_Olist_ONil @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1903]) ).
thf(2318,plain,
! [SV877: $i,SV479: $i,SV49: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV49 ) @ SV479 @ SV877 @ SV49 )
= ( c_List_Olist_ONil @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1904]) ).
thf(2319,plain,
! [SV878: $i,SV480: $i,SV50: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV50 ) @ SV480 @ SV878 @ SV50 )
= ( c_List_Olist_ONil @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1905]) ).
thf(2320,plain,
! [SV879: $i,SV482: $i,SV52: $i] :
( ( ( c_List_Odistinct @ SV52 @ SV482 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV879 @ SV52 @ SV482 ) @ SV482 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1907]) ).
thf(2321,plain,
! [SV880: $i,SV483: $i,SV53: $i] :
( ( ( c_List_Odistinct @ SV53 @ SV483 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV53 @ SV880 @ SV483 ) @ SV483 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1908]) ).
thf(2322,plain,
! [SV881: $i,SV484: $i,SV54: $i] :
( ( ! [SY2957: $i] :
( ( c_List_Ofilter @ SV54 @ ( c_List_Oappend @ SV484 @ SV881 @ SY2957 ) @ SY2957 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV54 @ SV484 @ SY2957 ) @ ( c_List_Ofilter @ SV54 @ SV881 @ SY2957 ) @ SY2957 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1909]) ).
thf(2323,plain,
! [SV882: $i,SV485: $i,SV55: $i] :
( ( ( c_in @ SV55 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV882 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV882 ) @ SV55 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1910]) ).
thf(2324,plain,
! [SV883: $i,SV486: $i,SV56: $i] :
( ( ! [SY2958: $i] :
( ( c_in @ SV56 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV486 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV883 @ SY2958 @ SV56 ) @ ( c_List_Oset @ SV486 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1911]) ).
thf(2325,plain,
! [SV884: $i,SV487: $i,SV57: $i] :
( ( ( c_List_Odistinct @ ( c_List_Ofilter @ SV57 @ SV487 @ SV884 ) @ SV884 )
| ~ ( c_List_Odistinct @ SV487 @ SV884 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1912]) ).
thf(2326,plain,
! [SV488: $i,SV58: $i] :
( ( ( c_List_Odistinct @ SV58 @ SV488 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ SV58 @ SV488 ) @ SV488 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1913]) ).
thf(2327,plain,
! [SV489: $i,SV59: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV59 @ SV489 ) @ SV489 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV59 @ SV489 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1914]) ).
thf(2328,plain,
! [SV490: $i,SV60: $i] :
( ( c_in @ ( c_Message_Omsg_OCrypt @ SV60 @ SV490 ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1915]) ).
thf(2329,plain,
! [SV491: $i,SV61: $i] :
( ( ( c_lessequals @ SV61 @ ( c_Message_Osynth @ SV491 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Osynth @ SV61 ) @ ( c_Message_Osynth @ SV491 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1916]) ).
thf(2330,plain,
! [SV492: $i,SV62: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV62 ) @ ( c_Message_Osynth @ SV492 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV62 @ ( c_Message_Osynth @ SV492 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1917]) ).
thf(2331,plain,
! [SV885: $i,SV493: $i,SV63: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV63 )
| ~ ( c_lessequals @ SV493 @ SV885 @ SV63 )
| ~ ( c_HOL_Oord__class_Oless @ SV885 @ SV493 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1918]) ).
thf(2332,plain,
! [SV886: $i,SV494: $i,SV64: $i] :
( ( ! [SY2959: $i] :
( ~ ( class_HOL_Oord @ SV64 )
| ~ ( c_lessequals @ SV494 @ SV886 @ ( tc_fun @ SY2959 @ SV64 ) )
| ~ ( c_HOL_Oord__class_Oless @ SV886 @ SV494 @ ( tc_fun @ SY2959 @ SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1919]) ).
thf(2333,plain,
! [SV887: $i,SV495: $i,SV65: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV65 )
| ( c_HOL_Oord__class_Oless @ SV495 @ SV887 @ SV65 )
| ( c_lessequals @ SV887 @ SV495 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1920]) ).
thf(2334,plain,
! [SV888: $i,SV496: $i,SV66: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV66 )
| ~ ( c_lessequals @ SV496 @ SV888 @ SV66 )
| ~ ( c_HOL_Oord__class_Oless @ SV888 @ SV496 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1921]) ).
thf(2335,plain,
! [SV889: $i,SV497: $i,SV67: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV67 )
| ( c_lessequals @ SV497 @ SV889 @ SV67 )
| ( c_HOL_Oord__class_Oless @ SV889 @ SV497 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1922]) ).
thf(2336,plain,
! [SV890: $i,SV498: $i,SV68: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV68 )
| ~ ( c_HOL_Oord__class_Oless @ SV498 @ SV890 @ SV68 )
| ~ ( c_lessequals @ SV890 @ SV498 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1923]) ).
thf(2337,plain,
! [SV499: $i,SV69: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV69 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV499 @ SV499 @ SV69 )
| ( c_lessequals @ SV499 @ SV499 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1924]) ).
thf(2338,plain,
! [SV500: $i,SV70: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV70 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV500 @ SV500 @ SV70 )
| ~ ( c_HOL_Oord__class_Oless @ SV500 @ SV500 @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1925]) ).
thf(2339,plain,
! [SV891: $i,SV501: $i,SV71: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV71 )
| ( c_HOL_Oord__class_Oless @ SV501 @ SV891 @ SV71 )
| ( c_lessequals @ SV891 @ SV501 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1926]) ).
thf(2340,plain,
! [SV892: $i,SV502: $i,SV72: $i] :
( ( ( c_List_Oremdups @ ( c_List_Ofilter @ SV72 @ SV502 @ SV892 ) @ SV892 )
= ( c_List_Ofilter @ SV72 @ ( c_List_Oremdups @ SV502 @ SV892 ) @ SV892 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1927]) ).
thf(2341,plain,
! [SV893: $i,SV503: $i,SV73: $i] :
( ( ! [SY2960: $i] :
( ~ ( class_Orderings_Oorder @ SV73 )
| ( c_HOL_Oord__class_Oless @ SV503 @ SV893 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SV503 @ SY2960 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SY2960 @ SV893 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1928]) ).
thf(2342,plain,
! [SV894: $i,SV504: $i,SV74: $i] :
( ( ! [SY2961: $i] :
( ( c_in @ SV74 @ SV504 @ SV894 )
| ~ ( c_in @ SV74 @ SY2961 @ SV894 )
| ~ ( c_HOL_Oord__class_Oless @ SY2961 @ SV504 @ ( tc_fun @ SV894 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1929]) ).
thf(2343,plain,
! [SV895: $i,SV505: $i,SV75: $i] :
( ( ! [SY2962: $i] :
( ( c_HOL_Oord__class_Oless @ SV75 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SY2962 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV75 @ SY2962 @ ( tc_fun @ SV895 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1930]) ).
thf(2344,plain,
! [SV896: $i,SV506: $i,SV76: $i] :
( ( ! [SY2963: $i] :
( ~ ( class_Orderings_Opreorder @ SV76 )
| ( c_HOL_Oord__class_Oless @ SV506 @ SV896 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SY2963 @ SV896 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SV506 @ SY2963 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1931]) ).
thf(2345,plain,
! [SV897: $i,SV507: $i,SV77: $i] :
( ( ! [SY2964: $i] :
( ( c_in @ SV77 @ ( c_Event_Oused @ SV507 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV897 @ SY2964 @ SV77 ) @ ( c_List_Oset @ SV507 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1932]) ).
thf(2346,plain,
! [SV508: $i,SV78: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV78 ) @ ( c_Message_Osynth @ SV508 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV78 @ SV508 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1933]) ).
thf(2347,plain,
! [SV898: $i,SV509: $i,SV79: $i] :
( ( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV79 @ SV509 @ SV898 ) @ SV898 )
| ~ ( c_List_Odistinct @ SV509 @ SV898 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1934]) ).
thf(2348,plain,
! [SV899: $i,SV510: $i,SV80: $i] :
( ( ! [SY2965: $i] :
( ( ( c_List_Ofilter @ SV80 @ ( c_List_Oreplicate @ SV510 @ SV899 @ SY2965 ) @ SY2965 )
= ( c_List_Oreplicate @ SV510 @ SV899 @ SY2965 ) )
| ~ ( hBOOL @ ( hAPP @ SV80 @ SV899 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1935]) ).
thf(2349,plain,
! [SV900: $i,SV511: $i,SV81: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV81 @ SV511 @ SV900 ) @ SV900 )
| ~ ( c_List_Odistinct @ SV511 @ SV900 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1936]) ).
thf(2350,plain,
! [SV901: $i,SV512: $i,SV82: $i] :
( ( ( c_in @ SV82 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV512 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV901 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ SV901 @ SV82 ) @ ( c_List_Oset @ SV512 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1937]) ).
thf(2351,plain,
! [SV902: $i,SV513: $i,SV83: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV83 )
| ( c_HOL_Oord__class_Oless @ SV513 @ SV902 @ SV83 )
| ( c_lessequals @ SV902 @ SV513 @ SV83 )
| ~ ( c_lessequals @ SV513 @ SV902 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1938]) ).
thf(2352,plain,
! [SV514: $i,SV84: $i] :
( ( c_HOL_Oord__class_Oless @ SV84 @ SV84 @ ( tc_fun @ SV514 @ tc_bool ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1939]) ).
thf(2353,plain,
! [SV903: $i,SV515: $i,SV85: $i] :
( ( ! [SY2966: $i] :
( ~ ( class_HOL_Oord @ SV85 )
| ( c_HOL_Oord__class_Oless @ SV515 @ SV903 @ ( tc_fun @ SY2966 @ SV85 ) )
| ( c_lessequals @ SV903 @ SV515 @ ( tc_fun @ SY2966 @ SV85 ) )
| ~ ( c_lessequals @ SV515 @ SV903 @ ( tc_fun @ SY2966 @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1940]) ).
thf(2354,plain,
! [SV516: $i,SV86: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV86 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV516 @ SV516 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1941]) ).
thf(2355,plain,
! [SV517: $i,SV87: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV87 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV517 @ SV517 @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1942]) ).
thf(2356,plain,
! [SV518: $i,SV88: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV88 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV518 @ SV518 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1943]) ).
thf(2357,plain,
! [SV904: $i,SV519: $i,SV89: $i] :
( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV89 )
| ( c_HOL_Oord__class_Oless @ SV519 @ SV904 @ SV89 )
| ( c_HOL_Oord__class_Oless @ SV904 @ SV519 @ SV89 )
| ( SV904 = SV519 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1944]) ).
thf(2358,plain,
! [SV905: $i,SV520: $i,SV90: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV90 )
| ( SV520 = SV905 )
| ( c_HOL_Oord__class_Oless @ SV905 @ SV520 @ SV90 )
| ( c_HOL_Oord__class_Oless @ SV520 @ SV905 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1945]) ).
thf(2359,plain,
! [SV906: $i,SV521: $i,SV91: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV91 )
| ( c_HOL_Oord__class_Oless @ SV521 @ SV906 @ SV91 )
| ( c_HOL_Oord__class_Oless @ SV906 @ SV521 @ SV91 )
| ( SV906 = SV521 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1946]) ).
thf(2360,plain,
! [SV907: $i,SV522: $i,SV92: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV92 )
| ( c_HOL_Oord__class_Oless @ SV522 @ SV907 @ SV92 )
| ( SV907 = SV522 )
| ( c_HOL_Oord__class_Oless @ SV907 @ SV522 @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1947]) ).
thf(2361,plain,
! [SV908: $i,SV523: $i,SV93: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV93 )
| ( SV523 = SV908 )
| ( c_HOL_Oord__class_Oless @ SV523 @ SV908 @ SV93 )
| ( c_HOL_Oord__class_Oless @ SV908 @ SV523 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1948]) ).
thf(2362,plain,
! [SV909: $i,SV524: $i,SV94: $i] :
( ( ( c_lessequals @ SV94 @ SV524 @ ( tc_fun @ SV909 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV94 @ SV524 @ ( tc_fun @ SV909 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1949]) ).
thf(2363,plain,
! [SV910: $i,SV525: $i,SV95: $i] :
( ( ! [SY2967: $i] :
( ~ ( class_HOL_Oord @ SV95 )
| ( c_lessequals @ SV525 @ SV910 @ ( tc_fun @ SY2967 @ SV95 ) )
| ~ ( c_HOL_Oord__class_Oless @ SV525 @ SV910 @ ( tc_fun @ SY2967 @ SV95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1950]) ).
thf(2364,plain,
! [SV911: $i,SV526: $i,SV96: $i] :
( ( ~ ( class_Orderings_Oorder @ SV96 )
| ( c_lessequals @ SV526 @ SV911 @ SV96 )
| ~ ( c_HOL_Oord__class_Oless @ SV526 @ SV911 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1951]) ).
thf(2365,plain,
! [SV912: $i,SV527: $i,SV97: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV97 )
| ( c_lessequals @ SV527 @ SV912 @ SV97 )
| ~ ( c_HOL_Oord__class_Oless @ SV527 @ SV912 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1952]) ).
thf(2366,plain,
! [SV913: $i,SV528: $i,SV98: $i] :
( ( ( c_in @ SV98 @ ( c_Event_Oused @ SV528 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ SV913 @ SV98 ) @ ( c_List_Oset @ SV528 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1953]) ).
thf(2367,plain,
! [SV914: $i,SV529: $i,SV99: $i] :
( ( ! [SY2968: $i] :
( ( ( c_List_Oremove1 @ SV99 @ ( c_List_Ofilter @ SV529 @ SV914 @ SY2968 ) @ SY2968 )
= ( c_List_Ofilter @ SV529 @ SV914 @ SY2968 ) )
| ( hBOOL @ ( hAPP @ SV529 @ SV99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1954]) ).
thf(2368,plain,
! [SV915: $i,SV530: $i,SV100: $i] :
( ( ( ( c_List_OtakeWhile @ SV100 @ SV530 @ SV915 )
= SV530 )
| ~ ( hBOOL @ ( hAPP @ SV100 @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ SV100 @ SV530 @ SV915 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1955]) ).
thf(2369,plain,
! [SV916: $i,SV532: $i,SV103: $i] :
( ( ! [SY2969: $i] :
( ~ ( class_Orderings_Oorder @ SV103 )
| ( c_HOL_Oord__class_Oless @ SV532 @ SV916 @ SV103 )
| ~ ( c_lessequals @ SV532 @ SY2969 @ SV103 )
| ~ ( c_HOL_Oord__class_Oless @ SY2969 @ SV916 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1957]) ).
thf(2370,plain,
! [SV917: $i,SV533: $i,SV104: $i] :
( ( ! [SY2970: $i] :
( ~ ( class_Orderings_Oorder @ SV104 )
| ( c_HOL_Oord__class_Oless @ SV533 @ SV917 @ SV104 )
| ~ ( c_HOL_Oord__class_Oless @ SV533 @ SY2970 @ SV104 )
| ~ ( c_lessequals @ SY2970 @ SV917 @ SV104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1958]) ).
thf(2371,plain,
! [SV918: $i,SV534: $i,SV105: $i] :
( ( ! [SY2971: $i] :
( ( c_HOL_Oord__class_Oless @ SV105 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
| ~ ( c_lessequals @ SY2971 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV105 @ SY2971 @ ( tc_fun @ SV918 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1959]) ).
thf(2372,plain,
! [SV919: $i,SV535: $i,SV106: $i] :
( ( ! [SY2972: $i] :
( ( c_HOL_Oord__class_Oless @ SV106 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SY2972 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
| ~ ( c_lessequals @ SV106 @ SY2972 @ ( tc_fun @ SV919 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1960]) ).
thf(2373,plain,
! [SV920: $i,SV536: $i,SV107: $i] :
( ( ! [SY2973: $i] :
( ~ ( class_Orderings_Opreorder @ SV107 )
| ( c_HOL_Oord__class_Oless @ SV536 @ SV920 @ SV107 )
| ~ ( c_HOL_Oord__class_Oless @ SY2973 @ SV920 @ SV107 )
| ~ ( c_lessequals @ SV536 @ SY2973 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1961]) ).
thf(2374,plain,
! [SV921: $i,SV537: $i,SV108: $i] :
( ( ! [SY2974: $i] :
( ~ ( class_Orderings_Opreorder @ SV108 )
| ( c_HOL_Oord__class_Oless @ SV537 @ SV921 @ SV108 )
| ~ ( c_lessequals @ SY2974 @ SV921 @ SV108 )
| ~ ( c_HOL_Oord__class_Oless @ SV537 @ SY2974 @ SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1962]) ).
thf(2375,plain,
! [SV922: $i,SV538: $i,SV109: $i] :
( ( ! [SY2975: $i,SY2976: $i,SY2977: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SV538 @ SV922 @ SY2975 ) @ SY2976 @ SY2977 @ SY2975 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SY2976 @ SY2977 @ SY2975 ) @ SV538 @ SV922 @ SY2975 ) )
| ( SV538 = SY2976 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1963]) ).
thf(2376,plain,
! [SV539: $i,SV110: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV110 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV539 @ SV110 ) @ SV110 )
| ~ ( c_List_Olinorder__class_Osorted @ SV539 @ SV110 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1964]) ).
thf(2377,plain,
! [SV923: $i,SV540: $i,SV111: $i] :
( ( ( c_List_Orev @ ( c_List_Ofilter @ SV111 @ SV540 @ SV923 ) @ SV923 )
= ( c_List_Ofilter @ SV111 @ ( c_List_Orev @ SV540 @ SV923 ) @ SV923 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1965]) ).
thf(2378,plain,
! [SV924: $i,SV541: $i,SV112: $i] :
( ( ~ ( class_Orderings_Oorder @ SV112 )
| ( c_HOL_Oord__class_Oless @ SV541 @ SV924 @ SV112 )
| ( SV924 = SV541 )
| ~ ( c_lessequals @ SV541 @ SV924 @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1966]) ).
thf(2379,plain,
! [SV925: $i,SV542: $i,SV113: $i] :
( ( ~ ( class_Orderings_Oorder @ SV113 )
| ( c_HOL_Oord__class_Oless @ SV542 @ SV925 @ SV113 )
| ~ ( c_lessequals @ SV542 @ SV925 @ SV113 )
| ( SV925 = SV542 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1967]) ).
thf(2380,plain,
! [SV926: $i,SV543: $i,SV114: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV114 @ SV543 @ ( tc_fun @ SV926 @ tc_bool ) )
| ( SV114 = SV543 )
| ~ ( c_lessequals @ SV114 @ SV543 @ ( tc_fun @ SV926 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1968]) ).
thf(2381,plain,
! [SV927: $i,SV544: $i,SV115: $i] :
( ( ~ ( class_Orderings_Oorder @ SV115 )
| ( SV544 = SV927 )
| ( c_HOL_Oord__class_Oless @ SV544 @ SV927 @ SV115 )
| ~ ( c_lessequals @ SV544 @ SV927 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2382,plain,
! [SV928: $i,SV545: $i,SV116: $i] :
( ( ~ ( class_Orderings_Oorder @ SV116 )
| ( c_HOL_Oord__class_Oless @ SV545 @ SV928 @ SV116 )
| ( SV545 = SV928 )
| ~ ( c_lessequals @ SV545 @ SV928 @ SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1970]) ).
thf(2383,plain,
! [SV929: $i,SV546: $i,SV117: $i] :
( ( ( SV117 = SV546 )
| ( c_HOL_Oord__class_Oless @ SV117 @ SV546 @ ( tc_fun @ SV929 @ tc_bool ) )
| ~ ( c_lessequals @ SV117 @ SV546 @ ( tc_fun @ SV929 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1971]) ).
thf(2384,plain,
! [SV930: $i,SV547: $i,SV118: $i] :
( ( ~ ( class_Orderings_Oorder @ SV118 )
| ( c_HOL_Oord__class_Oless @ SV547 @ SV930 @ SV118 )
| ( SV547 = SV930 )
| ~ ( c_lessequals @ SV547 @ SV930 @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2385,plain,
! [SV931: $i,SV548: $i,SV119: $i] :
( ( ~ ( class_Orderings_Oorder @ SV119 )
| ( c_HOL_Oord__class_Oless @ SV548 @ SV931 @ SV119 )
| ~ ( c_lessequals @ SV548 @ SV931 @ SV119 )
| ( SV548 = SV931 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1973]) ).
thf(2386,plain,
! [SV932: $i,SV549: $i,SV120: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV120 )
| ( SV549 = SV932 )
| ~ ( c_lessequals @ SV549 @ SV932 @ SV120 )
| ( c_HOL_Oord__class_Oless @ SV549 @ SV932 @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2387,plain,
! [SV933: $i,SV550: $i,SV121: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV121 )
| ( SV550 = SV933 )
| ( c_HOL_Oord__class_Oless @ SV550 @ SV933 @ SV121 )
| ~ ( c_lessequals @ SV550 @ SV933 @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1975]) ).
thf(2388,plain,
! [SV934: $i,SV551: $i,SV122: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV122 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV551 @ SV934 @ SV122 ) @ SV122 )
| ~ ( c_List_Olinorder__class_Osorted @ SV934 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1976]) ).
thf(2389,plain,
! [SV935: $i,SV552: $i,SV123: $i] :
( ( ! [SY2978: $i,SY2979: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV123 @ SV552 @ SV935 @ SY2978 ) @ SV552 @ SY2979 @ SY2978 )
= ( c_List_Olist__update @ SV123 @ SV552 @ SY2979 @ SY2978 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1977]) ).
thf(2390,plain,
! [SV936: $i,SV554: $i,SV125: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV125 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV554 @ SV936 @ SV125 ) @ SV125 )
| ~ ( c_List_Olinorder__class_Osorted @ SV936 @ SV125 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1979]) ).
thf(2391,plain,
! [SV937: $i,SV555: $i,SV126: $i] :
( ( ~ ( class_Orderings_Oorder @ SV126 )
| ~ ( c_HOL_Oord__class_Oless @ SV555 @ SV937 @ SV126 )
| ~ ( c_HOL_Oord__class_Oless @ SV937 @ SV555 @ SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1980]) ).
thf(2392,plain,
! [SV938: $i,SV556: $i,SV127: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV127 )
| ~ ( c_HOL_Oord__class_Oless @ SV556 @ SV938 @ SV127 )
| ~ ( c_HOL_Oord__class_Oless @ SV938 @ SV556 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1981]) ).
thf(2393,plain,
! [SV939: $i,SV557: $i,SV128: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV128 )
| ~ ( c_HOL_Oord__class_Oless @ SV557 @ SV939 @ SV128 )
| ~ ( c_HOL_Oord__class_Oless @ SV939 @ SV557 @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1982]) ).
thf(2394,plain,
! [SV940: $i,SV558: $i,SV129: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV129 )
| ~ ( c_HOL_Oord__class_Oless @ SV558 @ SV940 @ SV129 )
| ~ ( c_HOL_Oord__class_Oless @ SV940 @ SV558 @ SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1983]) ).
thf(2395,plain,
! [SV941: $i,SV559: $i,SV130: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV130 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV559 @ SV941 @ SV130 ) @ SV130 )
| ~ ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV559 @ SV941 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV559 @ SV941 @ SV130 ) @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV559 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2396,plain,
! [SV942: $i,SV560: $i,SV131: $i] :
( ( ! [SY2980: $i] :
( ( c_in @ SV131 @ ( c_Event_Oknows @ SV560 @ SV942 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV560 @ SY2980 @ SV131 ) @ ( c_List_Oset @ SV942 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1985]) ).
thf(2397,plain,
! [SV943: $i,SV561: $i,SV132: $i] :
( ( ( c_in @ SV132 @ ( c_Event_Oknows @ SV561 @ SV943 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ SV561 @ SV132 ) @ ( c_List_Oset @ SV943 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1986]) ).
thf(2398,plain,
! [SV944: $i,SV562: $i,SV133: $i] :
( ( ! [SY2981: $i] :
( ( c_HOL_Oord__class_Oless @ SV133 @ SV562 @ ( tc_fun @ SV944 @ tc_bool ) )
| ~ ( c_in @ SY2981 @ SV562 @ SV944 )
| ~ ( c_HOL_Oord__class_Oless @ SV133 @ ( c_Set_Oinsert @ SY2981 @ SV562 @ SV944 ) @ ( tc_fun @ SV944 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1987]) ).
thf(2399,plain,
! [SV945: $i,SV563: $i,SV134: $i] :
( ( ! [SY2982: $i] :
( ( c_HOL_Oord__class_Oless @ SV134 @ ( c_Set_Oinsert @ SV563 @ SV945 @ SY2982 ) @ ( tc_fun @ SY2982 @ tc_bool ) )
| ~ ( c_in @ SV563 @ SV945 @ SY2982 )
| ~ ( c_HOL_Oord__class_Oless @ SV134 @ SV945 @ ( tc_fun @ SY2982 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1988]) ).
thf(2400,plain,
! [SV946: $i,SV564: $i,SV135: $i] :
( ( ! [SY2983: $i] :
( ~ ( c_in @ SV135 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV564 @ SV946 @ SY2983 ) @ SY2983 ) @ SY2983 )
| ( c_in @ SV135 @ ( c_List_Oset @ SV946 @ SY2983 ) @ SY2983 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1989]) ).
thf(2401,plain,
! [SV947: $i,SV565: $i,SV136: $i] :
( ( ! [SY2984: $i] :
( ( c_in @ SV136 @ ( c_List_Oset @ SV565 @ SV947 ) @ SV947 )
| ~ ( c_in @ SV136 @ ( c_List_Oset @ ( c_List_Oremove1 @ SY2984 @ SV565 @ SV947 ) @ SV947 ) @ SV947 )
| ( SV136 = SY2984 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1990]) ).
thf(2402,plain,
! [SV948: $i,SV566: $i,SV137: $i] :
( ( ! [SY2985: $i] :
( ( c_in @ SV137 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV566 @ SV948 @ SY2985 ) @ SY2985 ) @ SY2985 )
| ~ ( c_in @ SV137 @ ( c_List_Oset @ SV948 @ SY2985 ) @ SY2985 )
| ( SV137 = SV566 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1991]) ).
thf(2403,plain,
! [SV949: $i,SV567: $i,SV138: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ SV138 @ SV567 @ SV949 ) @ SV949 ) @ ( c_List_Oset @ SV567 @ SV949 ) @ ( tc_fun @ SV949 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1992]) ).
thf(2404,plain,
! [SV950: $i,SV568: $i,SV139: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ SV139 @ SV568 @ SV950 ) @ SV950 ) @ ( c_List_Oset @ SV568 @ SV950 ) @ ( tc_fun @ SV950 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1993]) ).
thf(2405,plain,
! [SV951: $i,SV569: $i,SV140: $i] :
( ( ( c_in @ SV140 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV951 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV140 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV951 @ SV569 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1994]) ).
thf(2406,plain,
! [SV952: $i,SV570: $i,SV141: $i] :
( ( ! [SY2986: $i] :
( ( c_in @ SV141 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV570 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV952 @ SY2986 @ SV141 ) @ ( c_List_Oset @ SV570 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1995]) ).
thf(2407,plain,
! [SV953: $i,SV571: $i,SV142: $i] :
( ( ( c_in @ SV142 @ ( c_Message_Osynth @ SV571 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ SV953 @ ( c_Message_Osynth @ SV571 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV142 @ ( c_Message_Osynth @ SV953 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1996]) ).
thf(2408,plain,
! [SV954: $i,SV572: $i,SV143: $i] :
( ( ! [SY2987: $i] :
( ( ( c_List_Ofilter @ SV143 @ ( c_List_Oreplicate @ SV572 @ SV954 @ SY2987 ) @ SY2987 )
= ( c_List_Olist_ONil @ SY2987 ) )
| ( hBOOL @ ( hAPP @ SV143 @ SV954 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1997]) ).
thf(2409,plain,
! [SV955: $i,SV573: $i,SV144: $i] :
( ( ( c_List_Oappend @ ( c_List_OtakeWhile @ SV144 @ SV573 @ SV955 ) @ ( c_List_OdropWhile @ SV144 @ SV573 @ SV955 ) @ SV955 )
= SV573 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2410,plain,
! [SV956: $i,SV574: $i,SV145: $i] :
( ( ! [SY2988: $i] :
( ( ( c_List_OtakeWhile @ SV145 @ ( c_List_Oappend @ SV574 @ SV956 @ SY2988 ) @ SY2988 )
= ( c_List_Oappend @ SV574 @ ( c_List_OtakeWhile @ SV145 @ SV956 @ SY2988 ) @ SY2988 ) )
| ~ ( hBOOL @ ( hAPP @ SV145 @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV145 @ SV574 @ SY2988 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1999]) ).
thf(2411,plain,
! [SV957: $i,SV575: $i,SV146: $i] :
( ( ( c_in @ SV146 @ ( c_Event_Oknows @ SV575 @ SV957 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV575 @ SV146 ) @ ( c_List_Oset @ SV957 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV575 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2412,plain,
! [SV576: $i,SV147: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV147 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV576 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV147 @ SV576 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2001]) ).
thf(2413,plain,
! [SV958: $i,SV578: $i,SV149: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV149 @ SV578 ) @ SV958 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV958 ) )
| ( c_in @ SV149 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2414,plain,
! [SV959: $i,SV579: $i,SV150: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV150 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV150 @ SV579 @ SV959 ) @ SV959 ) ) )
| ( ( c_List_OdropWhile @ SV150 @ SV579 @ SV959 )
= ( c_List_Olist_ONil @ SV959 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2004]) ).
thf(2415,plain,
! [SV960: $i,SV580: $i,SV151: $i] :
( ( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV151 @ SV580 ) @ SV960 @ tc_Event_Oevent ) )
= ( c_Event_Oused @ SV960 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2416,plain,
! [SV961: $i,SV581: $i,SV152: $i] :
( ( c_in @ SV152 @ ( c_Set_Oinsert @ SV152 @ SV581 @ SV961 ) @ SV961 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2006]) ).
thf(2417,plain,
! [SV962: $i,SV582: $i,SV153: $i] :
( ( ( ( c_Set_Oinsert @ SV153 @ SV582 @ SV962 )
= SV582 )
| ~ ( c_in @ SV153 @ SV582 @ SV962 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2007]) ).
thf(2418,plain,
! [SV963: $i,SV586: $i,SV160: $i] :
( ( ( c_List_Oconcat__map @ SV160 @ ( c_List_Olist_ONil @ SV586 ) @ SV586 @ SV963 )
= ( c_List_Olist_ONil @ SV963 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2011]) ).
thf(2419,plain,
! [SV964: $i,SV587: $i,SV161: $i] :
( ( ( hBOOL @ ( hAPP @ SV161 @ SV587 ) )
| ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV161 @ SV964 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Olist_ONil @ SV964 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2420,plain,
! [SV163: $i] :
( ( ( class_Orderings_Olinorder @ SV163 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV163 ) @ SV163 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2013]) ).
thf(2421,plain,
! [SV588: $i,SV165: $i] :
( ( ( ( c_List_Orotate1 @ SV165 @ SV588 )
= ( c_List_Oappend @ ( c_List_Otl @ SV165 @ SV588 ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV165 @ SV588 ) @ ( c_List_Olist_ONil @ SV588 ) @ SV588 ) @ SV588 ) )
= $true )
| ( ( SV165
= ( c_List_Olist_ONil @ SV588 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2014]) ).
thf(2422,plain,
! [SV965: $i,SV589: $i,SV166: $i] :
( ( ! [SY2989: $i] :
( ( c_in @ SV166 @ ( c_List_Oset @ ( c_List_Oappend @ SV589 @ ( c_List_Olist_OCons @ SV166 @ SV965 @ SY2989 ) @ SY2989 ) @ SY2989 ) @ SY2989 )
| ( c_in @ SV166 @ ( c_List_Oset @ SV589 @ SY2989 ) @ SY2989 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2015]) ).
thf(2423,plain,
! [SV966: $i,SV590: $i,SV167: $i] :
( ( ! [SY2990: $i] :
( ( c_in @ SV167 @ ( c_List_Oset @ ( c_List_Oappend @ SV590 @ ( c_List_Olist_OCons @ SV167 @ SV966 @ SY2990 ) @ SY2990 ) @ SY2990 ) @ SY2990 )
| ( c_in @ SV167 @ ( c_List_Oset @ SV966 @ SY2990 ) @ SY2990 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2016]) ).
thf(2424,plain,
! [SV967: $i,SV591: $i,SV168: $i] :
( ( ! [SY2991: $i] : ( c_in @ SV168 @ ( c_List_Oset @ ( c_List_Oappend @ SV591 @ ( c_List_Olist_OCons @ SV168 @ SV967 @ SY2991 ) @ SY2991 ) @ SY2991 ) @ SY2991 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2017]) ).
thf(2425,plain,
! [SV968: $i,SV592: $i,SV169: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV169 )
| ( c_List_Olinorder__class_Osorted @ SV592 @ SV169 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV968 @ SV592 @ SV169 ) @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2426,plain,
! [SV969: $i,SV593: $i,SV170: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV170 )
| ( c_List_Olinorder__class_Osorted @ SV593 @ SV170 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV593 @ SV969 @ SV170 ) @ SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2019]) ).
thf(2427,plain,
! [SV970: $i,SV594: $i,SV171: $i] :
( ( ! [SY2992: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV171 @ SV594 @ SV970 ) @ ( c_List_Oreplicate @ SY2992 @ SV594 @ SV970 ) @ SV970 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SY2992 @ SV594 @ SV970 ) @ ( c_List_Oreplicate @ SV171 @ SV594 @ SV970 ) @ SV970 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2020]) ).
thf(2428,plain,
! [SV971: $i,SV595: $i,SV172: $i] :
( ( ( c_List_Orev @ ( c_List_Oappend @ SV172 @ SV595 @ SV971 ) @ SV971 )
= ( c_List_Oappend @ ( c_List_Orev @ SV595 @ SV971 ) @ ( c_List_Orev @ SV172 @ SV971 ) @ SV971 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2429,plain,
! [SV972: $i,SV596: $i,SV173: $i] :
( ( ! [SY2993: $i] :
( ~ ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV596 ) ) @ tc_Message_Omsg )
| ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV972 @ SY2993 ) @ SV596 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2430,plain,
! [SV973: $i,SV597: $i,SV174: $i] :
( ( ! [SY2994: $i] :
( ~ ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV597 ) ) @ tc_Message_Omsg )
| ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV973 @ SY2994 ) @ SV597 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2023]) ).
thf(2431,plain,
! [SV974: $i,SV598: $i,SV175: $i] :
( ( ! [SY2995: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV175 @ SV598 ) @ ( c_Event_Oknows @ SV175 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV974 @ SY2995 ) @ SV598 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2024]) ).
thf(2432,plain,
! [SV975: $i,SV599: $i,SV176: $i] :
( ( ! [SY2996: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV176 @ SV599 ) @ ( c_Event_Oknows @ SV176 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV975 @ SY2996 ) @ SV599 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2433,plain,
! [SV976: $i,SV600: $i,SV177: $i] :
( ( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV177 @ SV600 ) @ SV976 @ tc_Event_Oevent ) )
| ~ ( c_in @ SV600 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV976 ) ) ) @ tc_Message_Omsg )
| ~ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV976 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2026]) ).
thf(2434,plain,
! [SV977: $i,SV601: $i,SV178: $i] :
( ( ! [SY2997: $i,SY2998: $i] :
( ~ ( class_Orderings_Olinorder @ SV178 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV601 @ SV977 @ SY2997 @ SY2998 @ SV178 )
= ( c_List_Olist_OCons @ SV977 @ SY2997 @ SY2998 ) )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV977 @ SV601 @ SY2997 @ SY2998 @ SV178 ) @ ( c_List_Oset @ SY2997 @ SY2998 ) @ SY2998 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2435,plain,
! [SV978: $i,SV602: $i,SV179: $i] :
( ( ! [SY2999: $i] :
( ( ( c_List_OtakeWhile @ SV179 @ ( c_List_Oappend @ SV602 @ SV978 @ SY2999 ) @ SY2999 )
= ( c_List_Oappend @ SV602 @ ( c_List_OtakeWhile @ SV179 @ SV978 @ SY2999 ) @ SY2999 ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV179 @ SV602 @ SY2999 ) @ ( c_List_Oset @ SV602 @ SY2999 ) @ SY2999 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2028]) ).
thf(2436,plain,
! [SV979: $i,SV603: $i,SV180: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV180 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV603 @ SV979 @ SV180 ) @ SV180 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV603 @ SV979 @ SV180 ) @ ( c_List_Oset @ SV979 @ SV180 ) @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SV979 @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SV603 @ SV180 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2029]) ).
thf(2437,plain,
! [SV980: $i,SV604: $i,SV181: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV181 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV604 @ SV980 @ SV181 ) @ SV181 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV604 @ SV980 @ SV181 ) @ ( c_List_Oset @ SV604 @ SV181 ) @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SV980 @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SV604 @ SV181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2030]) ).
thf(2438,plain,
! [SV981: $i,SV605: $i,SV182: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV182 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV605 @ SV981 @ SV182 ) @ SV182 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV605 @ SV981 @ SV182 ) @ ( c_List_Oset @ SV981 @ SV182 ) @ SV182 )
| ~ ( c_List_Olinorder__class_Osorted @ SV981 @ SV182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2031]) ).
thf(2439,plain,
! [SV982: $i,SV606: $i,SV183: $i] :
( ( ! [SY3000: $i,SY3001: $i] :
( ~ ( class_Orderings_Olinorder @ SV183 )
| ~ ( c_in @ SV606 @ ( c_List_Oset @ SV982 @ SY3000 ) @ SY3000 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SY3001 @ SV606 @ SV982 @ SY3000 @ SV183 ) @ SY3000 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2032]) ).
thf(2440,plain,
! [SV983: $i,SV607: $i,SV184: $i] :
( ( ! [SY3002: $i,SY3003: $i] :
( ~ ( class_Orderings_Olinorder @ SV184 )
| ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV607 @ SV983 @ SY3002 @ SY3003 @ SV184 ) @ SY3003 )
| ~ ( c_List_Odistinct @ SY3002 @ SY3003 )
| ( c_in @ SV983 @ ( c_List_Oset @ SY3002 @ SY3003 ) @ SY3003 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2033]) ).
thf(2441,plain,
! [SV984: $i,SV608: $i,SV185: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV185 @ SV608 ) @ SV984 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV185 @ SV608 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV608 @ SV984 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2034]) ).
thf(2442,plain,
! [SV985: $i,SV609: $i,SV186: $i] :
( ( ! [SY3004: $i,SY3005: $i] :
( ~ ( class_Orderings_Olinorder @ SV186 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV609 @ SV985 @ SY3004 @ SY3005 @ SV186 )
= ( c_List_Olist_OCons @ SV985 @ SY3004 @ SY3005 ) )
| ~ ( c_lessequals @ ( hAPP @ SV609 @ SV985 ) @ ( hAPP @ SV609 @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV985 @ SV609 @ SY3004 @ SY3005 @ SV186 ) ) @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2035]) ).
thf(2443,plain,
! [SV610: $i,SV187: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV187 @ SV610 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV187 @ ( c_Message_Oanalz @ SV610 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SV610 @ SV187 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV187 @ SV610 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2036]) ).
thf(2444,plain,
! [SV611: $i,SV188: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV188 @ SV611 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV188 @ ( c_Message_Oanalz @ SV611 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SV611 @ SV188 ) @ ( c_Set_Oinsert @ SV188 @ ( c_Message_Oanalz @ SV611 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2037]) ).
thf(2445,plain,
! [SV612: $i,SV189: $i] :
( ( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV189 @ SV612 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SV612 ) ) )
= $true )
| ( ( ~ ( c_in @ SV189 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV612 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2038]) ).
thf(2446,plain,
! [SV986: $i,SV613: $i,SV190: $i] :
( ( ( ( c_List_OtakeWhile @ SV190 @ SV613 @ SV986 )
= SV613 )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ SV190 @ SV613 @ SV986 ) @ ( c_List_Oset @ SV613 @ SV986 ) @ SV986 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2039]) ).
thf(2447,plain,
! [SV987: $i,SV614: $i,SV191: $i] :
( ( ! [SY3006: $i] :
( ( ( c_List_OtakeWhile @ SV191 @ SV614 @ SV987 )
= ( c_List_OtakeWhile @ SY3006 @ SV614 @ SV987 ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV191 @ SY3006 @ SV614 @ SV987 ) @ ( c_List_Oset @ SV614 @ SV987 ) @ SV987 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2040]) ).
thf(2448,plain,
! [SV988: $i,SV615: $i,SV192: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV192 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV615 @ SV988 @ SV192 ) @ SV192 )
| ~ ( c_lessequals @ SV615 @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV615 @ SV988 @ SV192 ) @ SV192 )
| ~ ( c_List_Olinorder__class_Osorted @ SV988 @ SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2449,plain,
! [SV989: $i,SV616: $i,SV193: $i] :
( ( ! [SY3007: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV193 @ SV616 @ SV989 @ SY3007 ) @ SY3007 ) @ ( c_Set_Oinsert @ SV989 @ ( c_List_Oset @ SV193 @ SY3007 ) @ SY3007 ) @ ( tc_fun @ SY3007 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2042]) ).
thf(2450,plain,
! [SV990: $i,SV617: $i,SV194: $i] :
( ( ! [SY3008: $i] :
( ( ( c_List_Oremove1 @ SV194 @ ( c_List_Oappend @ SV617 @ SV990 @ SY3008 ) @ SY3008 )
= ( c_List_Oappend @ ( c_List_Oremove1 @ SV194 @ SV617 @ SY3008 ) @ SV990 @ SY3008 ) )
| ~ ( c_in @ SV194 @ ( c_List_Oset @ SV617 @ SY3008 ) @ SY3008 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2043]) ).
thf(2451,plain,
! [SV991: $i,SV618: $i,SV195: $i] :
( ( ! [SY3009: $i,SY3010: $i] :
( ( ( c_List_OdropWhile @ SV195 @ ( c_List_Oappend @ SV618 @ SV991 @ SY3009 ) @ SY3009 )
= ( c_List_Oappend @ ( c_List_OdropWhile @ SV195 @ SV618 @ SY3009 ) @ SV991 @ SY3009 ) )
| ( hBOOL @ ( hAPP @ SV195 @ SY3010 ) )
| ~ ( c_in @ SY3010 @ ( c_List_Oset @ SV618 @ SY3009 ) @ SY3009 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2044]) ).
thf(2452,plain,
! [SV992: $i,SV619: $i,SV196: $i] :
( ( ! [SY3011: $i] :
( ( ( c_List_Oremove1 @ SV196 @ ( c_List_Oappend @ SV619 @ SV992 @ SY3011 ) @ SY3011 )
= ( c_List_Oappend @ SV619 @ ( c_List_Oremove1 @ SV196 @ SV992 @ SY3011 ) @ SY3011 ) )
| ( c_in @ SV196 @ ( c_List_Oset @ SV619 @ SY3011 ) @ SY3011 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2045]) ).
thf(2453,plain,
! [SV993: $i,SV620: $i,SV197: $i] :
( ( ! [SY3012: $i,SY3013: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV197 @ SV620 @ SV993 @ SY3012 ) @ SY3012 ) @ SY3013 @ ( tc_fun @ SY3012 @ tc_bool ) )
| ~ ( c_in @ SV993 @ SY3013 @ SY3012 )
| ~ ( c_lessequals @ ( c_List_Oset @ SV197 @ SY3012 ) @ SY3013 @ ( tc_fun @ SY3012 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2046]) ).
thf(2454,plain,
! [SV994: $i,SV621: $i,SV198: $i] :
( ( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ SV198 @ SV621 @ SV994 ) @ SV994 )
= ( c_List_Oremdups @ SV621 @ SV994 ) )
| ~ ( c_in @ SV198 @ ( c_List_Oset @ SV621 @ SV994 ) @ SV994 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2455,plain,
! [SV995: $i,SV622: $i,SV199: $i] :
( ( ! [SY3014: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV199 @ SV622 @ SV995 ) @ SY3014 @ SV995 )
= ( c_List_Olist_OCons @ SV199 @ ( c_List_Olist__inter @ SV622 @ SY3014 @ SV995 ) @ SV995 ) )
| ~ ( c_in @ SV199 @ ( c_List_Oset @ SY3014 @ SV995 ) @ SV995 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2048]) ).
thf(2456,plain,
! [SV996: $i,SV623: $i,SV200: $i] :
( ( ! [SY3015: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV200 @ SV623 @ SV996 ) @ SY3015 @ SV996 )
= ( c_List_Olist__inter @ SV623 @ SY3015 @ SV996 ) )
| ( c_in @ SV200 @ ( c_List_Oset @ SY3015 @ SV996 ) @ SV996 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2049]) ).
thf(2457,plain,
! [SV997: $i,SV624: $i,SV201: $i] :
( ( ( ( c_List_Olength__unique @ ( c_List_Olist_OCons @ SV201 @ SV624 @ SV997 ) @ SV997 )
= ( c_List_Olength__unique @ SV624 @ SV997 ) )
| ~ ( c_in @ SV201 @ ( c_List_Oset @ SV624 @ SV997 ) @ SV997 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2050]) ).
thf(2458,plain,
! [SV998: $i,SV625: $i,SV202: $i] :
( ( ~ ( c_in @ SV202 @ ( c_List_Oset @ SV625 @ SV998 ) @ SV998 )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV202 @ SV625 @ SV998 ) @ SV998 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2459,plain,
! [SV999: $i,SV626: $i,SV203: $i] :
( ( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ SV203 @ SV626 @ SV999 ) @ SV999 )
= ( c_List_Olist_OCons @ SV203 @ ( c_List_Oremdups @ SV626 @ SV999 ) @ SV999 ) )
| ( c_in @ SV203 @ ( c_List_Oset @ SV626 @ SV999 ) @ SV999 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2052]) ).
thf(2460,plain,
! [SV1000: $i,SV627: $i,SV204: $i] :
( ( ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV204 @ SV627 @ SV1000 ) @ SV1000 )
| ~ ( c_List_Odistinct @ SV627 @ SV1000 )
| ( c_in @ SV204 @ ( c_List_Oset @ SV627 @ SV1000 ) @ SV1000 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2053]) ).
thf(2461,plain,
! [SV1001: $i,SV628: $i,SV205: $i] :
( ( ! [SY3016: $i] :
( ( c_HOL_Oord__class_Oless @ SV205 @ ( c_Set_Oinsert @ SV628 @ SV1001 @ SY3016 ) @ ( tc_fun @ SY3016 @ tc_bool ) )
| ~ ( c_lessequals @ SV205 @ SV1001 @ ( tc_fun @ SY3016 @ tc_bool ) )
| ( c_in @ SV628 @ SV205 @ SY3016 )
| ~ ( c_HOL_Oord__class_Oless @ SV205 @ SV1001 @ ( tc_fun @ SY3016 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2054]) ).
thf(2462,plain,
! [SV1002: $i,SV629: $i,SV206: $i] :
( ( ! [SY3017: $i] :
( ( c_HOL_Oord__class_Oless @ SV206 @ ( c_Set_Oinsert @ SV629 @ SV1002 @ SY3017 ) @ ( tc_fun @ SY3017 @ tc_bool ) )
| ~ ( c_lessequals @ SV206 @ SV1002 @ ( tc_fun @ SY3017 @ tc_bool ) )
| ( c_in @ SV629 @ SV206 @ SY3017 )
| ( c_in @ SV629 @ SV1002 @ SY3017 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2055]) ).
thf(2463,plain,
! [SV1003: $i,SV630: $i,SV207: $i] :
( ( ! [SY3018: $i] :
( ( c_lessequals @ SV207 @ SV630 @ ( tc_fun @ SV1003 @ tc_bool ) )
| ( c_in @ SY3018 @ SV207 @ SV1003 )
| ( c_in @ SY3018 @ SV630 @ SV1003 )
| ~ ( c_HOL_Oord__class_Oless @ SV207 @ ( c_Set_Oinsert @ SY3018 @ SV630 @ SV1003 ) @ ( tc_fun @ SV1003 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2464,plain,
! [SV1004: $i,SV631: $i,SV208: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV208 @ SV631 ) @ SV1004 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV631 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1004 ) @ tc_Message_Omsg ) )
| ~ ( c_in @ SV208 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2057]) ).
thf(2465,plain,
! [SV1005: $i,SV632: $i,SV209: $i] :
( ( ! [SY3019: $i] :
( ( c_in @ SV209 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV632 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1005 @ SY3019 @ SV209 ) @ ( c_List_Oset @ SV632 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2058]) ).
thf(2466,plain,
! [SV1006: $i,SV633: $i,SV210: $i] :
( ( ( c_in @ SV210 @ ( c_Event_OinitState @ SV633 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Event_Oevent_ONotes @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV633 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV633 @ SV210 @ SV1006 ) @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV633 = c_Message_Oagent_OSpy )
| ~ ( c_in @ SV210 @ ( c_Event_Oknows @ SV633 @ SV1006 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2059]) ).
thf(2467,plain,
! [SV1007: $i,SV634: $i,SV212: $i] :
( ( c_in @ SV212 @ ( c_Set_Oinsert @ SV212 @ SV634 @ SV1007 ) @ SV1007 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2060]) ).
thf(2468,plain,
! [SV1008: $i,SV635: $i,SV213: $i] :
( ( c_in @ SV213 @ ( c_Set_Oinsert @ SV213 @ SV635 @ SV1008 ) @ SV1008 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2061]) ).
thf(2469,plain,
! [SV1009: $i,SV636: $i,SV214: $i] :
( ( ! [SY3020: $i] :
( ( c_lessequals @ SV214 @ SV636 @ ( tc_fun @ SV1009 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY3020 @ SV214 @ SV1009 ) @ SV636 @ ( tc_fun @ SV1009 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2062]) ).
thf(2470,plain,
! [SV1010: $i,SV637: $i,SV215: $i] :
( ( ! [SY3021: $i] :
( ( c_lessequals @ SV215 @ ( c_Set_Oinsert @ SV637 @ SV1010 @ SY3021 ) @ ( tc_fun @ SY3021 @ tc_bool ) )
| ~ ( c_lessequals @ SV215 @ SV1010 @ ( tc_fun @ SY3021 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2063]) ).
thf(2471,plain,
! [SV1011: $i,SV638: $i,SV216: $i] :
( ( c_lessequals @ SV216 @ ( c_Set_Oinsert @ SV638 @ SV216 @ SV1011 ) @ ( tc_fun @ SV1011 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2064]) ).
thf(2472,plain,
! [SV1012: $i,SV639: $i,SV217: $i] :
( ( ! [SY3022: $i] :
( ( c_in @ SV217 @ SV639 @ SV1012 )
| ( SV217 = SY3022 )
| ~ ( c_in @ SV217 @ ( c_Set_Oinsert @ SY3022 @ SV639 @ SV1012 ) @ SV1012 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2065]) ).
thf(2473,plain,
! [SV1013: $i,SV640: $i,SV218: $i] :
( ( ! [SY3023: $i] :
( ( c_in @ SV218 @ ( c_Set_Oinsert @ SV640 @ SV1013 @ SY3023 ) @ SY3023 )
| ~ ( c_in @ SV218 @ SV1013 @ SY3023 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2066]) ).
thf(2474,plain,
! [SV1014: $i,SV641: $i,SV219: $i] :
( ( ! [SY3024: $i] :
( ( c_in @ SV219 @ ( c_Set_Oinsert @ SV641 @ SV1014 @ SY3024 ) @ SY3024 )
| ~ ( c_in @ SV219 @ SV1014 @ SY3024 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2067]) ).
thf(2475,plain,
! [SV1015: $i,SV642: $i,SV220: $i] :
( ( ! [SY3025: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV220 @ SV642 @ SV1015 ) @ ( c_Set_Oinsert @ SV220 @ SY3025 @ SV1015 ) @ ( tc_fun @ SV1015 @ tc_bool ) )
| ~ ( c_lessequals @ SV642 @ SY3025 @ ( tc_fun @ SV1015 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2068]) ).
thf(2476,plain,
! [SV1016: $i,SV643: $i,SV221: $i] :
( ( ! [SY3026: $i] :
( ( ( c_List_OtakeWhile @ SV221 @ ( c_List_Olist_OCons @ SV643 @ SV1016 @ SY3026 ) @ SY3026 )
= ( c_List_Olist_OCons @ SV643 @ ( c_List_OtakeWhile @ SV221 @ SV1016 @ SY3026 ) @ SY3026 ) )
| ~ ( hBOOL @ ( hAPP @ SV221 @ SV643 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2069]) ).
thf(2477,plain,
! [SV1017: $i,SV644: $i,SV222: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV222 )
| ( c_List_Olinorder__class_Osorted @ SV644 @ SV222 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1017 @ SV644 @ SV222 ) @ SV222 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2070]) ).
thf(2478,plain,
! [SV1018: $i,SV645: $i,SV223: $i] :
( ( ! [SY3027: $i] :
( ~ ( class_Orderings_Olinorder @ SV223 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY3027 @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 ) @ SV223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2071]) ).
thf(2479,plain,
! [SV1019: $i,SV646: $i,SV224: $i] :
( ( ! [SY3028: $i,SY3029: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV224 @ SV646 @ SV1019 ) @ ( c_List_Olist_OCons @ SY3028 @ SY3029 @ SV1019 ) @ SV1019 )
= ( c_List_Olist_OCons @ SV224 @ ( c_List_Olist_OCons @ SY3028 @ ( c_List_Osplice @ SV646 @ SY3029 @ SV1019 ) @ SV1019 ) @ SV1019 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2480,plain,
! [SV1020: $i,SV647: $i,SV225: $i] :
( ( ( c_List_Otl @ ( c_List_Olist_OCons @ SV225 @ SV647 @ SV1020 ) @ SV1020 )
= SV647 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2481,plain,
! [SV1021: $i,SV648: $i,SV226: $i] :
( ( ( c_List_Ohd @ ( c_List_Olist_OCons @ SV226 @ SV648 @ SV1021 ) @ SV1021 )
= SV226 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2074]) ).
thf(2482,plain,
! [SV1022: $i,SV649: $i,SV227: $i] :
( ( ! [SY3030: $i,SY3031: $i] :
( ~ ( class_HOL_Oord @ SV227 )
| ( c_lessequals @ ( hAPP @ SV649 @ SV1022 ) @ ( hAPP @ SY3030 @ SV1022 ) @ SV227 )
| ~ ( c_lessequals @ SV649 @ SY3030 @ ( tc_fun @ SY3031 @ SV227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2075]) ).
thf(2483,plain,
! [SV1023: $i,SV650: $i,SV228: $i] :
( ( ! [SY3032: $i] :
( ( hBOOL @ ( hAPP @ SV228 @ SV650 ) )
| ~ ( c_in @ SV650 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SV228 @ SV1023 @ SY3032 ) @ SY3032 ) @ SY3032 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2076]) ).
thf(2484,plain,
! [SV651: $i,SV229: $i] :
( ( ( c_in @ ( c_List_Ohd @ SV229 @ SV651 ) @ ( c_List_Oset @ SV229 @ SV651 ) @ SV651 )
= $true )
| ( ( SV229
= ( c_List_Olist_ONil @ SV651 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2077]) ).
thf(2485,plain,
! [SV1024: $i,SV652: $i,SV230: $i] :
( ( ! [SY3033: $i] :
( ~ ( class_Orderings_Olinorder @ SV230 )
| ( c_lessequals @ SV652 @ SV1024 @ SV230 )
| ~ ( c_in @ SV1024 @ ( c_List_Oset @ SY3033 @ SV230 ) @ SV230 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV652 @ SY3033 @ SV230 ) @ SV230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2078]) ).
thf(2486,plain,
! [SV1025: $i,SV653: $i,SV231: $i] :
( ( ! [SY3034: $i] :
( ( c_in @ SV231 @ ( c_List_Oset @ SV653 @ SV1025 ) @ SV1025 )
| ~ ( c_in @ SV231 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SY3034 @ SV653 @ SV1025 ) @ SV1025 ) @ SV1025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2079]) ).
thf(2487,plain,
! [SV1026: $i,SV654: $i,SV232: $i] :
( ( ( c_in @ SV232 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV654 @ SV1026 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV232 @ ( c_Message_Oanalz @ SV1026 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2488,plain,
! [SV1027: $i,SV655: $i,SV233: $i] :
( ( ! [SY3035: $i] :
( ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SV655 @ SV1027 @ SY3035 ) @ SY3035 ) @ SY3035 ) @ SY3035 )
| ~ ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ SV655 @ SY3035 ) @ SY3035 ) @ SY3035 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2081]) ).
thf(2489,plain,
! [SV1028: $i,SV656: $i,SV234: $i] :
( ( ! [SY3036: $i] :
( ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SV656 @ SV1028 @ SY3036 ) @ SY3036 ) @ SY3036 ) @ SY3036 )
| ~ ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ SV1028 @ SY3036 ) @ SY3036 ) @ SY3036 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2490,plain,
! [SV1029: $i,SV657: $i,SV235: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV235 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OtakeWhile @ SV657 @ SV1029 @ SV235 ) @ SV235 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1029 @ SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2083]) ).
thf(2491,plain,
! [SV1030: $i,SV658: $i,SV236: $i] :
( ( ! [SY3037: $i,SY3038: $i,SY3039: $i] :
( ~ ( class_Orderings_Olinorder @ SV236 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV658 @ SV1030 @ ( c_List_Olist_OCons @ SY3037 @ SY3038 @ SY3039 ) @ SY3039 @ SV236 )
= ( c_List_Olist_OCons @ SV1030 @ ( c_List_Olist_OCons @ SY3037 @ SY3038 @ SY3039 ) @ SY3039 ) )
| ~ ( c_lessequals @ ( hAPP @ SV658 @ SV1030 ) @ ( hAPP @ SV658 @ SY3037 ) @ SV236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2492,plain,
! [SV1031: $i,SV659: $i,SV237: $i] :
( ( ! [SY3040: $i] :
( ( c_lessequals @ SV237 @ SV659 @ ( tc_fun @ SV1031 @ tc_bool ) )
| ~ ( c_lessequals @ SV237 @ ( c_Set_Oinsert @ SY3040 @ SV659 @ SV1031 ) @ ( tc_fun @ SV1031 @ tc_bool ) )
| ( c_in @ SY3040 @ SV237 @ SV1031 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2085]) ).
thf(2493,plain,
! [SV1032: $i,SV660: $i,SV238: $i] :
( ( ! [SY3041: $i] :
( ( c_lessequals @ SV238 @ ( c_Set_Oinsert @ SV660 @ SV1032 @ SY3041 ) @ ( tc_fun @ SY3041 @ tc_bool ) )
| ~ ( c_lessequals @ SV238 @ SV1032 @ ( tc_fun @ SY3041 @ tc_bool ) )
| ( c_in @ SV660 @ SV238 @ SY3041 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2494,plain,
! [SV1033: $i,SV661: $i,SV239: $i] :
( ( ! [SY3042: $i] :
( ( c_lessequals @ SV239 @ SV661 @ ( tc_fun @ SV1033 @ tc_bool ) )
| ( c_in @ SY3042 @ SV239 @ SV1033 )
| ~ ( c_lessequals @ SV239 @ ( c_Set_Oinsert @ SY3042 @ SV661 @ SV1033 ) @ ( tc_fun @ SV1033 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2495,plain,
! [SV1034: $i,SV662: $i,SV240: $i] :
( ( ! [SY3043: $i] :
( ( c_lessequals @ SV240 @ ( c_Set_Oinsert @ SV662 @ SV1034 @ SY3043 ) @ ( tc_fun @ SY3043 @ tc_bool ) )
| ~ ( c_lessequals @ SV240 @ SV1034 @ ( tc_fun @ SY3043 @ tc_bool ) )
| ( c_in @ SV662 @ SV240 @ SY3043 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2088]) ).
thf(2496,plain,
! [SV663: $i,SV241: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV241 @ SV663 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV663 ) )
= $true )
| ( ( ~ ( c_in @ SV241 @ ( c_Message_Oanalz @ SV663 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2089]) ).
thf(2497,plain,
! [SV1035: $i,SV664: $i,SV242: $i] :
( ( ! [SY3044: $i] :
( ( c_in @ SV242 @ SV664 @ SV1035 )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV242 @ SY3044 @ SV1035 ) @ SV664 @ ( tc_fun @ SV1035 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2090]) ).
thf(2498,plain,
! [SV1036: $i,SV665: $i,SV243: $i] :
( ( ! [SY3045: $i,SY3046: $i] :
( ( hBOOL @ ( hAPP @ SV243 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ ( c_List_Oappend @ SV665 @ ( c_List_Olist_OCons @ SV1036 @ SY3045 @ SY3046 ) @ SY3046 ) @ SY3046 ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ SV665 @ SY3046 ) @ ( c_List_Oset @ SV665 @ SY3046 ) @ SY3046 )
| ~ ( hBOOL @ ( hAPP @ SV243 @ SV1036 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2091]) ).
thf(2499,plain,
! [SV1037: $i,SV666: $i,SV244: $i] :
( ( ! [SY3047: $i,SY3048: $i] :
( ~ ( class_Orderings_Olinorder @ SV244 )
| ( c_lessequals @ SV666 @ SV1037 @ SV244 )
| ~ ( c_in @ SV1037 @ ( c_List_Oset @ SY3047 @ SV244 ) @ SV244 )
| ~ ( c_in @ SV666 @ ( c_List_Oset @ SY3048 @ SV244 ) @ SV244 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY3048 @ SY3047 @ SV244 ) @ SV244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2092]) ).
thf(2500,plain,
! [SV1038: $i,SV667: $i,SV245: $i] :
( ( ! [SY3049: $i] :
( ( c_in @ SV245 @ ( c_List_Oset @ SV667 @ SV1038 ) @ SV1038 )
| ( SV245 = SY3049 )
| ~ ( c_in @ SV245 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY3049 @ SV667 @ SV1038 ) @ SV1038 ) @ SV1038 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2093]) ).
thf(2501,plain,
! [SV1039: $i,SV668: $i,SV246: $i] :
( ( ! [SY3050: $i,SY3051: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SY3050 @ SY3051 ) @ SY3051 ) @ SY3051 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SY3050 @ SY3051 ) @ SY3051 ) @ SY3051 ) @ SY3051 )
| ( hBOOL @ ( hAPP @ SV246 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ SY3050 @ SY3051 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV246 @ SV1039 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2502,plain,
! [SV1040: $i,SV669: $i,SV247: $i] :
( ( ( hBOOL @ ( hAPP @ SV247 @ SV669 ) )
| ~ ( c_in @ SV669 @ SV247 @ SV1040 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2095]) ).
thf(2503,plain,
! [SV1041: $i,SV670: $i,SV248: $i] :
( ( ( c_in @ SV248 @ SV670 @ SV1041 )
| ~ ( hBOOL @ ( hAPP @ SV670 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2096]) ).
thf(2504,plain,
! [SV671: $i,SV249: $i] :
( ( ( c_in @ SV249 @ ( c_Message_Oanalz @ SV671 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV249 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV671 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2097]) ).
thf(2505,plain,
! [SV672: $i,SV250: $i] :
( ( ( c_in @ ( c_List_Olast @ SV250 @ SV672 ) @ ( c_List_Oset @ SV250 @ SV672 ) @ SV672 )
= $true )
| ( ( SV250
= ( c_List_Olist_ONil @ SV672 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2098]) ).
thf(2506,plain,
! [SV673: $i,SV251: $i] :
( ( ( ( c_List_Olast @ ( c_List_Orev @ SV251 @ SV673 ) @ SV673 )
= ( c_List_Ohd @ SV251 @ SV673 ) )
= $true )
| ( ( SV251
= ( c_List_Olist_ONil @ SV673 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2099]) ).
thf(2507,plain,
! [SV1042: $i,SV674: $i,SV252: $i] :
( ( ( c_in @ SV252 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV1042 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV252 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1042 @ SV674 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2100]) ).
thf(2508,plain,
! [SV1043: $i,SV679: $i,SV257: $i] :
( ( ! [SY3052: $i,SY3053: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SY3052 @ SY3053 ) @ SY3053 ) @ SY3053 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SY3052 @ SY3053 ) @ SY3053 ) @ SY3053 ) @ SY3053 )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ SV679 @ SY3053 ) @ ( c_List_Oset @ SV679 @ SY3053 ) @ SY3053 )
| ~ ( hBOOL @ ( hAPP @ SV257 @ SV1043 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2105]) ).
thf(2509,plain,
! [SV1044: $i,SV680: $i,SV258: $i] :
( ( ( c_List_Orev @ ( c_List_Oreplicate @ SV258 @ SV680 @ SV1044 ) @ SV1044 )
= ( c_List_Oreplicate @ SV258 @ SV680 @ SV1044 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2106]) ).
thf(2510,plain,
! [SV681: $i,SV259: $i] :
( ( ( ( c_List_Ohd @ ( c_List_Orev @ SV259 @ SV681 ) @ SV681 )
= ( c_List_Olast @ SV259 @ SV681 ) )
= $true )
| ( ( SV259
= ( c_List_Olist_ONil @ SV681 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2107]) ).
thf(2511,plain,
! [SV1045: $i,SV682: $i,SV260: $i] :
( ( ! [SY3054: $i,SY3055: $i] :
( ( ( c_List_OtakeWhile @ SV260 @ ( c_List_Oappend @ SV682 @ SV1045 @ SY3054 ) @ SY3054 )
= ( c_List_OtakeWhile @ SV260 @ SV682 @ SY3054 ) )
| ( hBOOL @ ( hAPP @ SV260 @ SY3055 ) )
| ~ ( c_in @ SY3055 @ ( c_List_Oset @ SV682 @ SY3054 ) @ SY3054 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2108]) ).
thf(2512,plain,
! [SV1046: $i,SV683: $i,SV261: $i] :
( ( ( c_in @ SV261 @ ( c_Message_Oanalz @ SV683 ) @ tc_Message_Omsg )
| ~ ( c_lessequals @ SV1046 @ ( c_Message_Oanalz @ SV683 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV261 @ ( c_Message_Oanalz @ SV1046 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2109]) ).
thf(2513,plain,
! [SV684: $i,SV263: $i] :
( ( ( c_lessequals @ SV263 @ ( c_Message_Oanalz @ SV684 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV263 ) @ ( c_Message_Oanalz @ SV684 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2110]) ).
thf(2514,plain,
! [SV685: $i,SV264: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV264 ) @ ( c_Message_Oanalz @ SV685 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV264 @ ( c_Message_Oanalz @ SV685 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2111]) ).
thf(2515,plain,
! [SV1047: $i,SV686: $i,SV265: $i] :
( ( ! [SY3056: $i,SY3057: $i,SY3058: $i] :
( ~ ( class_Orderings_Olinorder @ SV265 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ ( c_List_Olist_OCons @ SY3056 @ SY3057 @ SY3058 ) @ SY3058 @ SV265 )
= ( c_List_Olist_OCons @ SY3056 @ ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ SY3057 @ SY3058 @ SV265 ) @ SY3058 ) )
| ( c_lessequals @ ( hAPP @ SV686 @ SV1047 ) @ ( hAPP @ SV686 @ SY3056 ) @ SV265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2112]) ).
thf(2516,plain,
! [SV1048: $i,SV687: $i,SV266: $i] :
( ( ! [SY3059: $i] :
( ( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV266 @ SV687 @ SV1048 ) @ SY3059 @ SV1048 )
= ( c_List_Olist_OCons @ SV266 @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SY3059 @ SV1048 ) @ ( c_List_Osplice @ SV687 @ ( c_List_Otl @ SY3059 @ SV1048 ) @ SV1048 ) @ SV1048 ) @ SV1048 ) )
| ( SY3059
= ( c_List_Olist_ONil @ SV1048 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2113]) ).
thf(2517,plain,
! [SV1049: $i,SV689: $i,SV268: $i] :
( ( ( SV268 = SV689 )
| ~ ( c_lessequals @ SV689 @ SV268 @ ( tc_fun @ SV1049 @ tc_bool ) )
| ~ ( c_lessequals @ SV268 @ SV689 @ ( tc_fun @ SV1049 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2518,plain,
! [SV1050: $i,SV690: $i,SV269: $i] :
( ( ( SV269 = SV690 )
| ~ ( c_lessequals @ SV690 @ SV269 @ ( tc_fun @ SV1050 @ tc_bool ) )
| ~ ( c_lessequals @ SV269 @ SV690 @ ( tc_fun @ SV1050 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2116]) ).
thf(2519,plain,
! [SV1051: $i,SV691: $i,SV270: $i] :
( ( ~ ( class_Orderings_Oorder @ SV270 )
| ( SV691 = SV1051 )
| ~ ( c_lessequals @ SV1051 @ SV691 @ SV270 )
| ~ ( c_lessequals @ SV691 @ SV1051 @ SV270 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2117]) ).
thf(2520,plain,
! [SV1052: $i,SV692: $i,SV271: $i] :
( ( ~ ( class_Orderings_Oorder @ SV271 )
| ( SV692 = SV1052 )
| ~ ( c_lessequals @ SV1052 @ SV692 @ SV271 )
| ~ ( c_lessequals @ SV692 @ SV1052 @ SV271 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2118]) ).
thf(2521,plain,
! [SV1053: $i,SV693: $i,SV272: $i] :
( ( ~ ( class_Orderings_Oorder @ SV272 )
| ( SV693 = SV1053 )
| ~ ( c_lessequals @ SV693 @ SV1053 @ SV272 )
| ~ ( c_lessequals @ SV1053 @ SV693 @ SV272 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2119]) ).
thf(2522,plain,
! [SV1054: $i,SV694: $i,SV273: $i] :
( ( ! [SY3060: $i] :
( ( SV273 = SV694 )
| ~ ( c_in @ SV273 @ ( c_List_Oset @ ( c_List_Oreplicate @ SV1054 @ SV694 @ SY3060 ) @ SY3060 ) @ SY3060 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2120]) ).
thf(2523,plain,
! [SV1055: $i,SV696: $i,SV275: $i] :
( ( ! [SY3061: $i,SY3062: $i] :
( ~ ( class_Orderings_Olinorder @ SV275 )
| ( ( c_List_Oset @ ( c_List_Olinorder__class_Oinsort__key @ SV696 @ SV1055 @ SY3061 @ SY3062 @ SV275 ) @ SY3062 )
= ( c_Set_Oinsert @ SV1055 @ ( c_List_Oset @ SY3061 @ SY3062 ) @ SY3062 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2122]) ).
thf(2524,plain,
! [SV1056: $i,SV697: $i,SV276: $i] :
( ( ! [SY3063: $i] :
( ~ ( class_Orderings_Olinorder @ SV276 )
| ( c_lessequals @ SV697 @ SV1056 @ SV276 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV697 @ ( c_List_Olist_OCons @ SV1056 @ SY3063 @ SV276 ) @ SV276 ) @ SV276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2123]) ).
thf(2525,plain,
! [SV1057: $i,SV698: $i,SV277: $i] :
( ( c_lessequals @ ( c_List_Oset @ SV277 @ SV698 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1057 @ SV277 @ SV698 ) @ SV698 ) @ ( tc_fun @ SV698 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2124]) ).
thf(2526,plain,
! [SV1058: $i,SV699: $i,SV278: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV278 @ SV699 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV699 ) )
| ~ ( c_lessequals @ SV1058 @ SV699 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV278 @ ( c_Message_Oanalz @ SV1058 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2125]) ).
thf(2527,plain,
! [SV1059: $i,SV700: $i,SV279: $i] :
( ( ! [SY3064: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV279 @ SV700 @ SV1059 ) @ SY3064 @ ( tc_fun @ SV1059 @ tc_bool ) )
| ~ ( c_lessequals @ SV700 @ SY3064 @ ( tc_fun @ SV1059 @ tc_bool ) )
| ~ ( c_in @ SV279 @ SY3064 @ SV1059 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2126]) ).
thf(2528,plain,
! [SV701: $i,SV280: $i] :
( ( ( c_in @ SV280 @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV280 @ SV701 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2127]) ).
thf(2529,plain,
! [SV1060: $i,SV702: $i,SV281: $i] :
( ( ! [SY3065: $i,SY3066: $i] :
( ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ ( c_List_Oappend @ SV702 @ ( c_List_Olist_OCons @ SV1060 @ SY3065 @ SY3066 ) @ SY3066 ) @ SY3066 ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ SY3065 @ SY3066 ) @ ( c_List_Oset @ SY3065 @ SY3066 ) @ SY3066 )
| ~ ( hBOOL @ ( hAPP @ SV281 @ SV1060 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2530,plain,
! [SV1061: $i,SV703: $i,SV282: $i] :
( ( ! [SY3067: $i] :
( ~ ( class_Orderings_Olinorder @ SV282 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV703 @ ( c_List_Olist_OCons @ SV1061 @ SY3067 @ SV282 ) @ SV282 ) @ SV282 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1061 @ SY3067 @ SV282 ) @ SV282 )
| ~ ( c_lessequals @ SV703 @ SV1061 @ SV282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2129]) ).
thf(2531,plain,
! [SV1062: $i,SV704: $i,SV283: $i] :
( ( ! [SY3068: $i,SY3069: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SY3068 @ SY3069 ) @ SY3069 ) @ SY3069 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SY3068 @ SY3069 ) @ SY3069 ) @ SY3069 ) @ SY3069 )
| ( hBOOL @ ( hAPP @ SV283 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ SV704 @ SY3069 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV283 @ SV1062 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2130]) ).
thf(2532,plain,
! [SV1063: $i,SV705: $i,SV284: $i] :
( ( ! [SY3070: $i] :
( ~ ( class_Orderings_Oorder @ SV284 )
| ( c_lessequals @ SV705 @ SV1063 @ SV284 )
| ~ ( c_lessequals @ SV705 @ SY3070 @ SV284 )
| ~ ( c_lessequals @ SY3070 @ SV1063 @ SV284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2131]) ).
thf(2533,plain,
! [SV1064: $i,SV706: $i,SV285: $i] :
( ( ! [SY3071: $i] :
( ~ ( class_Orderings_Opreorder @ SV285 )
| ( c_lessequals @ SV706 @ SV1064 @ SV285 )
| ~ ( c_lessequals @ SY3071 @ SV1064 @ SV285 )
| ~ ( c_lessequals @ SV706 @ SY3071 @ SV285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2132]) ).
thf(2534,plain,
! [SV1065: $i,SV707: $i,SV286: $i] :
( ( ! [SY3072: $i] :
( ( c_in @ SV286 @ SV707 @ SV1065 )
| ~ ( c_in @ SV286 @ SY3072 @ SV1065 )
| ~ ( c_lessequals @ SY3072 @ SV707 @ ( tc_fun @ SV1065 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2133]) ).
thf(2535,plain,
! [SV1066: $i,SV708: $i,SV287: $i] :
( ( ! [SY3073: $i] :
( ( c_in @ SV287 @ SV708 @ SV1066 )
| ~ ( c_in @ SV287 @ SY3073 @ SV1066 )
| ~ ( c_lessequals @ SY3073 @ SV708 @ ( tc_fun @ SV1066 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2134]) ).
thf(2536,plain,
! [SV1067: $i,SV710: $i,SV289: $i] :
( ( ! [SY3074: $i] :
( ( c_in @ SV289 @ SV710 @ SV1067 )
| ~ ( c_lessequals @ SY3074 @ SV710 @ ( tc_fun @ SV1067 @ tc_bool ) )
| ~ ( c_in @ SV289 @ SY3074 @ SV1067 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2136]) ).
thf(2537,plain,
! [SV1068: $i,SV711: $i,SV290: $i] :
( ( ! [SY3075: $i] :
( ( c_in @ SV290 @ SV711 @ SV1068 )
| ~ ( c_in @ SV290 @ SY3075 @ SV1068 )
| ~ ( c_lessequals @ SY3075 @ SV711 @ ( tc_fun @ SV1068 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2137]) ).
thf(2538,plain,
! [SV1069: $i,SV713: $i,SV292: $i] :
( ( ! [SY3076: $i] :
( ( c_lessequals @ SV292 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
| ~ ( c_lessequals @ SY3076 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
| ~ ( c_lessequals @ SV292 @ SY3076 @ ( tc_fun @ SV1069 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2539,plain,
! [SV1070: $i,SV714: $i,SV293: $i] :
( ( ! [SY3077: $i] :
( ( hBOOL @ ( hAPP @ SV293 @ SV714 ) )
| ~ ( hBOOL @ ( hAPP @ SV1070 @ SV714 ) )
| ~ ( c_lessequals @ SV1070 @ SV293 @ ( tc_fun @ SY3077 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2140]) ).
thf(2540,plain,
! [SV715: $i,SV294: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV294 ) )
= $true )
| ( ( c_lessequals @ SV715 @ SV715 @ SV294 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2141]) ).
thf(2541,plain,
! [SV716: $i,SV295: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV295 ) )
= $true )
| ( ( c_lessequals @ SV716 @ SV716 @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2142]) ).
thf(2542,plain,
! [SV1071: $i,SV717: $i,SV296: $i] :
( ( ! [SY3078: $i] :
( ( hBOOL @ ( hAPP @ SV296 @ SV717 ) )
| ~ ( c_lessequals @ SV1071 @ SV296 @ ( tc_fun @ SY3078 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV1071 @ SV717 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2143]) ).
thf(2543,plain,
! [SV718: $i,SV297: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV297 ) @ ( c_Message_Oanalz @ SV718 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV297 @ SV718 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2144]) ).
thf(2544,plain,
! [SV1072: $i,SV719: $i,SV298: $i] :
( ( ( c_in @ SV298 @ ( c_List_Oset @ SV719 @ SV1072 ) @ SV1072 )
| ~ ( c_in @ SV298 @ ( c_List_Oset @ ( c_List_Obutlast @ SV719 @ SV1072 ) @ SV1072 ) @ SV1072 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2145]) ).
thf(2545,plain,
! [SV1073: $i,SV720: $i,SV299: $i] :
( ( ! [SY3079: $i,SY3080: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SY3079 @ SY3080 ) @ SY3080 ) @ SY3080 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SY3079 @ SY3080 ) @ SY3080 ) @ SY3080 ) @ SY3080 )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ SY3079 @ SY3080 ) @ ( c_List_Oset @ SY3079 @ SY3080 ) @ SY3080 )
| ~ ( hBOOL @ ( hAPP @ SV299 @ SV1073 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2146]) ).
thf(2546,plain,
! [SV1074: $i,SV722: $i,SV302: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV302 )
| ( c_lessequals @ SV722 @ SV1074 @ SV302 )
| ( c_lessequals @ SV1074 @ SV722 @ SV302 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2148]) ).
thf(2547,plain,
! [SV1075: $i,SV723: $i,SV303: $i] :
( ( ( hBOOL @ ( hAPP @ SV303 @ SV723 ) )
| ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Oappend @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV303 @ SV1075 ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__induct__1__1 @ SV303 @ SV1075 ) @ ( c_List_Olist_ONil @ SV1075 ) @ SV1075 ) @ SV1075 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ SV1075 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2149]) ).
thf(2548,plain,
! [SV724: $i,SV304: $i] :
( ( ( SV304
= ( c_List_Oappend @ ( c_List_Osko__List__Xrev__cases__1__1 @ SV304 @ SV724 ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__cases__1__2 @ SV304 @ SV724 ) @ ( c_List_Olist_ONil @ SV724 ) @ SV724 ) @ SV724 ) )
= $true )
| ( ( SV304
= ( c_List_Olist_ONil @ SV724 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2150]) ).
thf(2549,plain,
! [SV725: $i,SV305: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Obutlast @ SV305 @ SV725 ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ SV305 @ SV725 ) @ ( c_List_Olist_ONil @ SV725 ) @ SV725 ) @ SV725 )
= SV305 )
= $true )
| ( ( SV305
= ( c_List_Olist_ONil @ SV725 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2151]) ).
thf(2550,plain,
! [SV1076: $i,SV726: $i,SV306: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV306 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV726 @ SV1076 ) @ SV306 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2152]) ).
thf(2551,plain,
! [SV1077: $i,SV727: $i,SV307: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV307 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV727 @ SV1077 ) @ SV307 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2153]) ).
thf(2552,plain,
! [SV1078: $i,SV728: $i,SV308: $i] :
( ( ( c_List_Oset @ ( c_List_Olist_OCons @ SV308 @ SV728 @ SV1078 ) @ SV1078 )
= ( c_Set_Oinsert @ SV308 @ ( c_List_Oset @ SV728 @ SV1078 ) @ SV1078 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2154]) ).
thf(2553,plain,
! [SV1079: $i,SV729: $i,SV309: $i] :
( ( ! [SY3081: $i] :
( ~ ( class_Orderings_Olinorder @ SV309 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV729 @ SV1079 @ ( c_List_Olist_ONil @ SY3081 ) @ SY3081 @ SV309 )
= ( c_List_Olist_OCons @ SV1079 @ ( c_List_Olist_ONil @ SY3081 ) @ SY3081 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2155]) ).
thf(2554,plain,
! [SV1080: $i,SV730: $i,SV310: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV310 @ SV730 @ SV1080 ) @ SV1080 )
= ( c_List_Olist_OCons @ SV310 @ ( c_List_Obutlast @ SV730 @ SV1080 ) @ SV1080 ) )
| ( SV730
= ( c_List_Olist_ONil @ SV1080 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2156]) ).
thf(2555,plain,
! [SV1081: $i,SV733: $i,SV313: $i] :
( ( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV313 @ SV733 @ SV1081 ) @ ( c_List_Olist_ONil @ SV1081 ) @ SV1081 )
= ( c_List_Olist_OCons @ SV313 @ SV733 @ SV1081 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2159]) ).
thf(2556,plain,
! [SV1082: $i,SV734: $i,SV314: $i] :
( ( ! [SY3082: $i] :
( ( ( c_List_OtakeWhile @ SV314 @ ( c_List_Olist_OCons @ SV734 @ SV1082 @ SY3082 ) @ SY3082 )
= ( c_List_Olist_ONil @ SY3082 ) )
| ( hBOOL @ ( hAPP @ SV314 @ SV734 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2160]) ).
thf(2557,plain,
! [SV1083: $i,SV736: $i,SV316: $i] :
( ( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV316 @ SV736 @ SV1083 ) @ SV1083 )
= ( c_List_Olast @ SV736 @ SV1083 ) )
| ( SV736
= ( c_List_Olist_ONil @ SV1083 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2162]) ).
thf(2558,plain,
! [SV738: $i,SV318: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV318 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV738 @ ( c_List_Olist_ONil @ SV318 ) @ SV318 ) @ SV318 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2164]) ).
thf(2559,plain,
! [SV1084: $i,SV739: $i,SV319: $i] :
( ( ! [SY3083: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV319 @ SV739 @ SV1084 ) @ ( c_List_Olist_OCons @ SV739 @ SY3083 @ SV1084 ) @ SV1084 )
= ( c_List_Olist_OCons @ SV739 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV319 @ SV739 @ SV1084 ) @ SY3083 @ SV1084 ) @ SV1084 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2165]) ).
thf(2560,plain,
! [SV1085: $i,SV740: $i,SV320: $i] :
( ( ! [SY3084: $i,SY3085: $i] :
( ( ( c_List_OtakeWhile @ SV320 @ ( c_List_Oappend @ SV740 @ ( c_List_Olist_OCons @ SV1085 @ SY3084 @ SY3085 ) @ SY3085 ) @ SY3085 )
= ( c_List_OtakeWhile @ SV320 @ SV740 @ SY3085 ) )
| ( hBOOL @ ( hAPP @ SV320 @ SV1085 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2166]) ).
thf(2561,plain,
! [SV1086: $i,SV741: $i,SV321: $i] :
( ( ! [SY3086: $i,SY3087: $i] :
( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ ( c_List_Oappend @ SV741 @ ( c_List_Olist_OCons @ SV1086 @ SY3086 @ SY3087 ) @ SY3087 ) @ SY3087 ) ) )
| ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ SV741 @ SY3087 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV321 @ SV1086 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2167]) ).
thf(2562,plain,
! [SV1087: $i,SV742: $i,SV322: $i] :
( ( ! [SY3088: $i,SY3089: $i] :
( ( c_List_Oconcat__map @ SV322 @ ( c_List_Olist_OCons @ SV742 @ SV1087 @ SY3088 ) @ SY3088 @ SY3089 )
= ( c_List_Oappend @ ( hAPP @ SV322 @ SV742 ) @ ( c_List_Oconcat__map @ SV322 @ SV1087 @ SY3088 @ SY3089 ) @ SY3089 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2168]) ).
thf(2563,plain,
! [SV1088: $i,SV743: $i,SV323: $i] :
( ( ! [SY3090: $i,SY3091: $i] :
( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ ( c_List_Oappend @ SV743 @ ( c_List_Olist_OCons @ SV1088 @ SY3090 @ SY3091 ) @ SY3091 ) @ SY3091 ) ) )
| ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ SY3090 @ SY3091 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV323 @ SV1088 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2169]) ).
thf(2564,plain,
! [SV1089: $i,SV744: $i,SV324: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV324 @ SV744 @ SV1089 ) @ SV1089 )
= ( c_List_Oappend @ SV324 @ ( c_List_Obutlast @ SV744 @ SV1089 ) @ SV1089 ) )
| ( SV744
= ( c_List_Olist_ONil @ SV1089 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2170]) ).
thf(2565,plain,
! [SV1090: $i,SV747: $i,SV327: $i] :
( ( ( ( c_List_Olast @ ( c_List_Oappend @ SV327 @ SV747 @ SV1090 ) @ SV1090 )
= ( c_List_Olast @ SV747 @ SV1090 ) )
| ( SV747
= ( c_List_Olist_ONil @ SV1090 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2173]) ).
thf(2566,plain,
! [SV1091: $i,SV748: $i,SV328: $i] :
( ( ( ( c_List_Otl @ ( c_List_Oappend @ SV328 @ SV748 @ SV1091 ) @ SV1091 )
= ( c_List_Oappend @ ( c_List_Otl @ SV328 @ SV1091 ) @ SV748 @ SV1091 ) )
| ( SV328
= ( c_List_Olist_ONil @ SV1091 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2174]) ).
thf(2567,plain,
! [SV1092: $i,SV750: $i,SV330: $i] :
( ( ( ( c_List_Ohd @ ( c_List_Oappend @ SV330 @ SV750 @ SV1092 ) @ SV1092 )
= ( c_List_Ohd @ SV330 @ SV1092 ) )
| ( SV330
= ( c_List_Olist_ONil @ SV1092 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2176]) ).
thf(2568,plain,
! [SV1093: $i,SV751: $i,SV331: $i] :
( ( ! [SY3092: $i,SY3093: $i] :
( ~ ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV751 ) ) @ tc_Message_Omsg )
| ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1093 @ SY3092 @ SY3093 ) @ SV751 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2569,plain,
! [SV1094: $i,SV752: $i,SV332: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV332 @ SV752 ) @ ( c_Event_Oknows @ SV332 @ ( c_List_Olist_OCons @ SV1094 @ SV752 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2178]) ).
thf(2570,plain,
! [SV1095: $i,SV753: $i,SV334: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV334 @ ( c_List_Olist_OCons @ SV753 @ ( c_List_Olist_ONil @ SV1095 ) @ SV1095 ) @ SV1095 ) @ SV1095 )
= SV753 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2179]) ).
thf(2571,plain,
! [SV1096: $i,SV754: $i,SV335: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV335 @ ( c_List_Olist_OCons @ SV754 @ ( c_List_Olist_ONil @ SV1096 ) @ SV1096 ) @ SV1096 ) @ SV1096 )
= SV335 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2180]) ).
thf(2572,plain,
! [SV1097: $i,SV755: $i,SV336: $i] :
( ( ( c_List_Orev @ ( c_List_Olist_OCons @ SV336 @ SV755 @ SV1097 ) @ SV1097 )
= ( c_List_Oappend @ ( c_List_Orev @ SV755 @ SV1097 ) @ ( c_List_Olist_OCons @ SV336 @ ( c_List_Olist_ONil @ SV1097 ) @ SV1097 ) @ SV1097 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2181]) ).
thf(2573,plain,
! [SV1098: $i,SV756: $i,SV337: $i] :
( ( ( c_List_Orev @ ( c_List_Oappend @ ( c_List_Orev @ SV337 @ SV756 ) @ ( c_List_Olist_OCons @ SV1098 @ ( c_List_Olist_ONil @ SV756 ) @ SV756 ) @ SV756 ) @ SV756 )
= ( c_List_Olist_OCons @ SV1098 @ SV337 @ SV756 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2182]) ).
thf(2574,plain,
! [SV1099: $i,SV757: $i,SV338: $i] :
( ( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ SV338 @ SV757 @ SV1099 ) @ SV1099 )
= ( c_List_Oappend @ SV757 @ ( c_List_Olist_OCons @ SV338 @ ( c_List_Olist_ONil @ SV1099 ) @ SV1099 ) @ SV1099 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2183]) ).
thf(2575,plain,
! [SV1100: $i,SV758: $i,SV339: $i] :
( ( ( c_List_Oappend @ ( c_List_Oreplicate @ SV339 @ SV758 @ SV1100 ) @ ( c_List_Olist_OCons @ SV758 @ ( c_List_Olist_ONil @ SV1100 ) @ SV1100 ) @ SV1100 )
= ( c_List_Olist_OCons @ SV758 @ ( c_List_Oreplicate @ SV339 @ SV758 @ SV1100 ) @ SV1100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2184]) ).
thf(2576,plain,
! [SV1101: $i,SV759: $i,SV340: $i] :
( ( ( c_Event_Oknows @ SV340 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV340 @ SV759 ) @ SV1101 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV759 @ ( c_Event_Oknows @ SV340 @ SV1101 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2185]) ).
thf(2577,plain,
! [SV1102: $i,SV760: $i,SV341: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV341 @ SV760 ) @ SV1102 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2186]) ).
thf(2578,plain,
! [SV1103: $i,SV761: $i,SV342: $i] :
( ( ! [SY3094: $i,SY3095: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV342 @ SV761 ) @ ( c_Event_Oknows @ SV342 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1103 @ SY3094 @ SY3095 ) @ SV761 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2187]) ).
thf(2579,plain,
! [SV1104: $i,SV762: $i,SV343: $i] :
( ( ( ( c_Event_Oknows @ SV343 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV343 @ SV762 ) @ SV1104 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV762 @ ( c_Event_Oknows @ SV343 @ SV1104 ) @ tc_Message_Omsg ) )
| ( SV343 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2188]) ).
thf(2580,plain,
! [SV1105: $i,SV763: $i,SV344: $i] :
( ( ! [SY3096: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV344 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV763 @ SV1105 @ SY3096 ) @ SV344 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2189]) ).
thf(2581,plain,
! [SV1106: $i,SV764: $i,SV345: $i] :
( ( ! [SY3097: $i] :
( ( c_List_Oappend @ SV345 @ ( c_List_Oappend @ SV764 @ SV1106 @ SY3097 ) @ SY3097 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV345 @ SV764 @ SY3097 ) @ SV1106 @ SY3097 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2190]) ).
thf(2582,plain,
! [SV1107: $i,SV765: $i,SV346: $i] :
( ( ! [SY3098: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV346 @ SV765 @ SV1107 ) @ SY3098 @ SV1107 )
= ( c_List_Oappend @ SV346 @ ( c_List_Oappend @ SV765 @ SY3098 @ SV1107 ) @ SV1107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2191]) ).
thf(2583,plain,
! [SV1108: $i,SV766: $i,SV347: $i] :
( ( ! [SY3099: $i] :
( ( c_List_Oappend @ SV347 @ ( c_List_Oappend @ SV766 @ SV1108 @ SY3099 ) @ SY3099 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV347 @ SV766 @ SY3099 ) @ SV1108 @ SY3099 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2192]) ).
thf(2584,plain,
! [SV1109: $i,SV767: $i,SV348: $i] :
( ( ! [SY3100: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV348 @ SV767 @ SV1109 ) @ SY3100 @ SV1109 )
= ( c_List_Oappend @ SV348 @ ( c_List_Oappend @ SV767 @ SY3100 @ SV1109 ) @ SV1109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2193]) ).
thf(2585,plain,
! [SV1110: $i,SV768: $i,SV350: $i] :
( ( ! [SY3101: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV350 @ SV768 @ SV1110 ) @ SY3101 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1110 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3101 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2586,plain,
! [SV1111: $i,SV769: $i,SV351: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV351 ) @ ( c_List_Olist_OCons @ SV769 @ SV1111 @ SV351 ) @ SV351 )
= ( c_List_Olist_OCons @ SV769 @ SV1111 @ SV351 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2195]) ).
thf(2587,plain,
! [SV1112: $i,SV770: $i,SV352: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV352 @ SV770 @ SV1112 ) @ SV352 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2196]) ).
thf(2588,plain,
! [SV1113: $i,SV771: $i,SV353: $i] :
( ( ! [SY3102: $i] :
( ( c_Event_Oknows @ SV353 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV353 @ SV771 @ SV1113 ) @ SY3102 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1113 @ ( c_Event_Oknows @ SV353 @ SY3102 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2197]) ).
thf(2589,plain,
! [SV1114: $i,SV772: $i,SV354: $i] :
( ( ! [SY3103: $i] :
( ( hBOOL @ ( hAPP @ SV354 @ SV772 ) )
| ( SV1114 = SV772 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1114 @ SV354 @ SY3103 ) @ SV772 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2590,plain,
! [SV1115: $i,SV773: $i,SV355: $i] :
( ( ( c_Set_Oinsert @ SV355 @ ( c_Set_Oinsert @ SV355 @ SV773 @ SV1115 ) @ SV1115 )
= ( c_Set_Oinsert @ SV355 @ SV773 @ SV1115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2199]) ).
thf(2591,plain,
! [SV1116: $i,SV779: $i,SV361: $i] :
( ( ! [SY3104: $i] :
( ( c_Set_Oinsert @ SV361 @ ( c_Set_Oinsert @ SV779 @ SV1116 @ SY3104 ) @ SY3104 )
= ( c_Set_Oinsert @ SV779 @ ( c_Set_Oinsert @ SV361 @ SV1116 @ SY3104 ) @ SY3104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2592,plain,
! [SV1117: $i,SV780: $i,SV362: $i] :
( ( ! [SY3105: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV362 @ SV780 @ SV1117 ) @ SY3105 @ SV1117 )
= ( c_List_Olist_OCons @ SV362 @ ( c_List_Oappend @ SV780 @ SY3105 @ SV1117 ) @ SV1117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2206]) ).
thf(2593,plain,
! [SV1118: $i,SV781: $i,SV363: $i] :
( ( ! [SY3106: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV363 @ SV781 @ SV1118 ) @ SY3106 @ SV1118 )
= ( c_List_Olist_OCons @ SV363 @ ( c_List_Oappend @ SV781 @ SY3106 @ SV1118 ) @ SV1118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2207]) ).
thf(2594,plain,
! [SV1119: $i,SV782: $i,SV364: $i] :
( ( ! [SY3107: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV364 @ SV782 @ SV1119 ) @ SY3107 ) )
| ~ ( hBOOL @ ( hAPP @ SV782 @ SY3107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2208]) ).
thf(2595,plain,
! [SV1120: $i,SV783: $i,SV365: $i] :
( ( ! [SY3108: $i] :
( ( c_List_Olist_OCons @ SV365 @ ( c_List_Oappend @ SV783 @ SV1120 @ SY3108 ) @ SY3108 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV365 @ SV783 @ SY3108 ) @ SV1120 @ SY3108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2209]) ).
thf(2596,plain,
! [SV1121: $i,SV784: $i,SV366: $i] :
( ( ! [SY3109: $i] :
( ( c_List_Olist_OCons @ SV366 @ ( c_List_Oappend @ SV784 @ SV1121 @ SY3109 ) @ SY3109 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV366 @ SV784 @ SY3109 ) @ SV1121 @ SY3109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2210]) ).
thf(2597,plain,
! [SV1122: $i,SV785: $i,SV367: $i] :
( ( ( c_List_Olist_OCons @ SV367 @ SV785 @ SV1122 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV1122 ) @ ( c_List_Olist_OCons @ SV367 @ SV785 @ SV1122 ) @ SV1122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2211]) ).
thf(2598,plain,
! [SV786: $i,SV369: $i] :
( ( ( class_Orderings_Opreorder @ ( tc_fun @ SV369 @ SV786 ) )
= $true )
| ( ( ~ ( class_Orderings_Opreorder @ SV786 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2212]) ).
thf(2599,plain,
! [SV787: $i,SV370: $i] :
( ( ( class_Orderings_Oorder @ ( tc_fun @ SV370 @ SV787 ) )
= $true )
| ( ( ~ ( class_Orderings_Oorder @ SV787 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2213]) ).
thf(2600,plain,
! [SV788: $i,SV371: $i] :
( ( ( class_HOL_Oord @ ( tc_fun @ SV371 @ SV788 ) )
= $true )
| ( ( ~ ( class_HOL_Oord @ SV788 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2214]) ).
thf(2601,plain,
! [SV1123: $i,SV790: $i,SV373: $i] :
( ( ( SV373 = SV790 )
| ~ ( c_fequal @ SV373 @ SV790 @ SV1123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2216]) ).
thf(2602,plain,
! [SV1124: $i,SV791: $i,SV374: $i] :
( ( ! [SY3110: $i] :
( ( ( c_List_Oappend @ SV374 @ SV791 @ SV1124 )
!= ( c_List_Oappend @ SV374 @ SY3110 @ SV1124 ) )
| ( SV791 = SY3110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2217]) ).
thf(2603,plain,
! [SV1125: $i,SV792: $i,SV375: $i] :
( ( ! [SY3111: $i] :
( ( c_Event_Oevent_ONotes @ SV375 @ SV792 )
!= ( c_Event_Oevent_OGets @ SV1125 @ SY3111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2218]) ).
thf(2604,plain,
! [SV1126: $i,SV793: $i,SV376: $i] :
( ( ( ( c_List_Olist_ONil @ SV376 )
!= ( c_List_Oappend @ SV793 @ SV1126 @ SV376 ) )
| ( SV793
= ( c_List_Olist_ONil @ SV376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2219]) ).
thf(2605,plain,
! [SV1127: $i,SV794: $i,SV377: $i] :
( ( ( ( c_List_Orev @ SV377 @ SV794 )
!= ( c_List_Orev @ SV1127 @ SV794 ) )
| ( SV377 = SV1127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2220]) ).
thf(2606,plain,
! [SV1128: $i,SV795: $i,SV378: $i] :
( ( ! [SY3112: $i,SY3113: $i] :
( ( ( c_List_Olist_OCons @ SV378 @ SV795 @ SV1128 )
!= ( c_List_Olist_OCons @ SY3112 @ SY3113 @ SV1128 ) )
| ( SV795 = SY3113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2221]) ).
thf(2607,plain,
! [SV1129: $i,SV796: $i,SV379: $i] :
( ( ! [SY3114: $i,SY3115: $i] :
( ( c_Event_Oevent_OSays @ SV379 @ SV796 @ SV1129 )
!= ( c_Event_Oevent_OGets @ SY3114 @ SY3115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2222]) ).
thf(2608,plain,
! [SV1130: $i,SV797: $i,SV380: $i] :
( ( ! [SY3116: $i,SY3117: $i] :
( ( ( c_List_Ofilter @ SV380 @ SV797 @ SV1130 )
!= ( c_List_Olist_OCons @ SY3116 @ SY3117 @ SV1130 ) )
| ( hBOOL @ ( hAPP @ SV380 @ SY3116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2223]) ).
thf(2609,plain,
! [SV1131: $i,SV798: $i,SV381: $i] :
( ( ! [SY3118: $i] :
( ( ( c_List_Ofilter @ SV381 @ SV798 @ SV1131 )
!= SV798 )
| ( hBOOL @ ( hAPP @ SV381 @ SY3118 ) )
| ~ ( c_in @ SY3118 @ ( c_List_Oset @ SV798 @ SV1131 ) @ SV1131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2224]) ).
thf(2610,plain,
! [SV1132: $i,SV799: $i,SV382: $i] :
( ( ( ( c_List_Oappend @ SV382 @ SV799 @ SV1132 )
!= ( c_List_Olist_ONil @ SV1132 ) )
| ( SV799
= ( c_List_Olist_ONil @ SV1132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2225]) ).
thf(2611,plain,
! [SV800: $i,SV383: $i] :
( ( ( ( c_List_Olist_ONil @ SV383 )
!= ( c_List_Orev @ SV800 @ SV383 ) )
= $true )
| ( ( SV800
= ( c_List_Olist_ONil @ SV383 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2226]) ).
thf(2612,plain,
! [SV1133: $i,SV801: $i,SV384: $i] :
( ( ! [SY3119: $i,SY3120: $i] :
( ( ( c_List_Olist_OCons @ SV384 @ SV801 @ SV1133 )
!= ( c_List_Ofilter @ SY3119 @ SY3120 @ SV1133 ) )
| ( hBOOL @ ( hAPP @ SY3119 @ SV384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2227]) ).
thf(2613,plain,
! [SV1134: $i,SV802: $i,SV385: $i] :
( ( ! [SY3121: $i] :
( ( c_Event_Oevent_OGets @ SV385 @ SV802 )
!= ( c_Event_Oevent_ONotes @ SV1134 @ SY3121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2228]) ).
thf(2614,plain,
! [SV1135: $i,SV803: $i,SV386: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV386 )
| ( ( c_List_Oset @ SV803 @ SV386 )
!= ( c_List_Oset @ SV1135 @ SV386 ) )
| ~ ( c_List_Odistinct @ SV1135 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
| ~ ( c_List_Odistinct @ SV803 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2229]) ).
thf(2615,plain,
! [SV1136: $i,SV804: $i,SV387: $i] :
( ( ! [SY3122: $i,SY3123: $i] :
( ( c_Event_Oevent_ONotes @ SV387 @ SV804 )
!= ( c_Event_Oevent_OSays @ SV1136 @ SY3122 @ SY3123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2230]) ).
thf(2616,plain,
! [SV1137: $i,SV805: $i,SV388: $i] :
( ( ! [SY3124: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV388 @ SV805 )
!= ( c_Message_Omsg_OCrypt @ SV1137 @ SY3124 ) )
| ( SV388 = SV1137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2231]) ).
thf(2617,plain,
! [SV1138: $i,SV806: $i,SV389: $i] :
( ( ! [SY3125: $i,SY3126: $i] :
( ( c_Event_Oevent_OGets @ SV389 @ SV806 )
!= ( c_Event_Oevent_OSays @ SV1138 @ SY3125 @ SY3126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2232]) ).
thf(2618,plain,
! [SV807: $i,SV390: $i] :
( ( ( ( c_Public_OshrK @ SV390 )
!= ( c_Public_OshrK @ SV807 ) )
= $true )
| ( ( SV390 = SV807 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2233]) ).
thf(2619,plain,
! [SV1139: $i,SV808: $i,SV391: $i] :
( ( ! [SY3127: $i,SY3128: $i] :
( ( ( c_List_Olist_OCons @ SV391 @ SV808 @ SV1139 )
!= ( c_List_Oappend @ SY3127 @ SY3128 @ SV1139 ) )
| ( SV808
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV391 @ SV808 @ SY3127 @ SY3128 @ SV1139 ) @ SY3128 @ SV1139 ) )
| ( SY3127
= ( c_List_Olist_ONil @ SV1139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2234]) ).
thf(2620,plain,
! [SV1140: $i,SV809: $i,SV392: $i] :
( ( ! [SY3129: $i,SY3130: $i] :
( ( ( c_List_Oappend @ SV392 @ ( c_List_Olist_OCons @ SV809 @ ( c_List_Olist_ONil @ SV1140 ) @ SV1140 ) @ SV1140 )
!= ( c_List_Oappend @ SY3129 @ ( c_List_Olist_OCons @ SY3130 @ ( c_List_Olist_ONil @ SV1140 ) @ SV1140 ) @ SV1140 ) )
| ( SV809 = SY3130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2235]) ).
thf(2621,plain,
! [SV1141: $i,SV810: $i,SV393: $i] :
( ( ! [SY3131: $i,SY3132: $i,SY3133: $i] :
( ( ( c_Event_Oevent_OSays @ SV393 @ SV810 @ SV1141 )
!= ( c_Event_Oevent_OSays @ SY3131 @ SY3132 @ SY3133 ) )
| ( SV1141 = SY3133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2236]) ).
thf(2622,plain,
! [SV1142: $i,SV811: $i,SV394: $i] :
( ( ! [SY3134: $i,SY3135: $i] :
( ( ( c_List_Oappend @ SV394 @ SV811 @ SV1142 )
!= ( c_List_Olist_OCons @ SY3134 @ SY3135 @ SV1142 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY3134 @ SY3135 @ SV394 @ SV811 @ SV1142 ) @ SV811 @ SV1142 )
= SY3135 )
| ( SV811
= ( c_List_Olist_OCons @ SY3134 @ SY3135 @ SV1142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2237]) ).
thf(2623,plain,
! [SV1143: $i,SV812: $i,SV395: $i] :
( ( ! [SY3136: $i] :
( ( ( c_List_Olist__update @ SV395 @ SV812 @ SV1143 @ SY3136 )
!= ( c_List_Olist_ONil @ SY3136 ) )
| ( SV395
= ( c_List_Olist_ONil @ SY3136 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2238]) ).
thf(2624,plain,
! [SV1144: $i,SV813: $i,SV396: $i] :
( ( ! [SY3137: $i,SY3138: $i] :
( ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
!= ( c_List_Oappend @ SY3137 @ SY3138 @ SV1144 ) )
| ( ( c_List_Olist_OCons @ SV396 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV396 @ SV813 @ SY3137 @ SY3138 @ SV1144 ) @ SV1144 )
= SY3137 )
| ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
= SY3138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2239]) ).
thf(2625,plain,
! [SV1145: $i,SV814: $i,SV397: $i] :
( ( ( SV397
!= ( c_List_Oappend @ SV397 @ SV814 @ SV1145 ) )
| ( SV814
= ( c_List_Olist_ONil @ SV1145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2626,plain,
! [SV1146: $i,SV815: $i,SV398: $i] :
( ( ! [SY3139: $i] :
( ( ( c_List_Ofilter @ SV398 @ SV815 @ SV1146 )
!= ( c_List_Olist_ONil @ SV1146 ) )
| ~ ( hBOOL @ ( hAPP @ SV398 @ SY3139 ) )
| ~ ( c_in @ SY3139 @ ( c_List_Oset @ SV815 @ SV1146 ) @ SV1146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2241]) ).
thf(2627,plain,
! [SV1147: $i,SV816: $i,SV399: $i] :
( ( ! [SY3140: $i,SY3141: $i] :
( ( ( c_List_Oreplicate @ SV399 @ SV816 @ SV1147 )
!= ( c_List_Oreplicate @ SY3140 @ SY3141 @ SV1147 ) )
| ( SV399 = SY3140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2628,plain,
! [SV1148: $i,SV817: $i,SV400: $i] :
( ( ! [SY3142: $i,SY3143: $i] :
( ( ( c_List_Olist_OCons @ SV400 @ SV817 @ SV1148 )
!= ( c_List_Oappend @ SY3142 @ SY3143 @ SV1148 ) )
| ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV400 @ SV817 @ SY3142 @ SY3143 @ SV1148 ) @ SV1148 )
= SY3142 )
| ( SY3142
= ( c_List_Olist_ONil @ SV1148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2243]) ).
thf(2629,plain,
! [SV1149: $i,SV818: $i,SV401: $i] :
( ( ! [SY3144: $i,SY3145: $i] :
( ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
!= ( c_List_Oappend @ SY3144 @ SY3145 @ SV1149 ) )
| ( SV818
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV401 @ SV818 @ SY3144 @ SY3145 @ SV1149 ) @ SY3145 @ SV1149 ) )
| ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
= SY3145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2244]) ).
thf(2630,plain,
! [SV1150: $i,SV819: $i,SV402: $i] :
( ( ! [SY3146: $i,SY3147: $i] :
( ( c_Event_Oevent_OSays @ SV402 @ SV819 @ SV1150 )
!= ( c_Event_Oevent_ONotes @ SY3146 @ SY3147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2245]) ).
thf(2631,plain,
! [SV1151: $i,SV820: $i,SV403: $i] :
( ( ( ( c_List_Olist_OCons @ SV403 @ ( c_List_Olist_ONil @ SV820 ) @ SV820 )
!= ( c_List_Orev @ SV1151 @ SV820 ) )
| ( SV1151
= ( c_List_Olist_OCons @ SV403 @ ( c_List_Olist_ONil @ SV820 ) @ SV820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2246]) ).
thf(2632,plain,
! [SV1152: $i,SV821: $i,SV404: $i] :
( ( ! [SY3148: $i] :
( ( ( c_Event_Oevent_ONotes @ SV404 @ SV821 )
!= ( c_Event_Oevent_ONotes @ SV1152 @ SY3148 ) )
| ( SV404 = SV1152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2247]) ).
thf(2633,plain,
! [SV1153: $i,SV822: $i,SV405: $i] :
( ( ! [SY3149: $i] :
( ( ( c_Event_Oevent_OGets @ SV405 @ SV822 )
!= ( c_Event_Oevent_OGets @ SV1153 @ SY3149 ) )
| ( SV405 = SV1153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2634,plain,
! [SV1154: $i,SV823: $i,SV406: $i] :
( ( ! [SY3150: $i,SY3151: $i,SY3152: $i] :
( ( ( c_Event_Oevent_OSays @ SV406 @ SV823 @ SV1154 )
!= ( c_Event_Oevent_OSays @ SY3150 @ SY3151 @ SY3152 ) )
| ( SV823 = SY3151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2249]) ).
thf(2635,plain,
! [SV824: $i,SV407: $i] :
( ( ( ( c_List_Orotate1 @ SV407 @ SV824 )
!= ( c_List_Olist_ONil @ SV824 ) )
= $true )
| ( ( SV407
= ( c_List_Olist_ONil @ SV824 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2250]) ).
thf(2636,plain,
! [SV825: $i,SV408: $i] :
( ( ( ( c_List_Orev @ SV408 @ SV825 )
!= ( c_List_Olist_ONil @ SV825 ) )
= $true )
| ( ( SV408
= ( c_List_Olist_ONil @ SV825 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2251]) ).
thf(2637,plain,
! [SV1155: $i,SV826: $i,SV409: $i] :
( ( ! [SY3153: $i,SY3154: $i,SY3155: $i] :
( ( ( c_Event_Oevent_OSays @ SV409 @ SV826 @ SV1155 )
!= ( c_Event_Oevent_OSays @ SY3153 @ SY3154 @ SY3155 ) )
| ( SV409 = SY3153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2252]) ).
thf(2638,plain,
! [SV1156: $i,SV827: $i,SV410: $i] :
( ( ! [SY3156: $i,SY3157: $i] :
( ( ( c_List_OdropWhile @ SV410 @ SV827 @ SV1156 )
!= ( c_List_Olist_OCons @ SY3156 @ SY3157 @ SV1156 ) )
| ~ ( hBOOL @ ( hAPP @ SV410 @ SY3156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2253]) ).
thf(2639,plain,
! [SV1157: $i,SV828: $i,SV411: $i] :
( ( ! [SY3158: $i] :
( ( ( c_List_Oappend @ SV411 @ SV828 @ SV1157 )
!= ( c_List_Oappend @ SY3158 @ SV828 @ SV1157 ) )
| ( SV411 = SY3158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2254]) ).
thf(2640,plain,
! [SV1158: $i,SV829: $i,SV412: $i] :
( ( SV412
!= ( c_List_Olist_OCons @ SV829 @ SV412 @ SV1158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2255]) ).
thf(2641,plain,
! [SV1159: $i,SV830: $i,SV413: $i] :
( ( ( c_List_Olist_OCons @ SV413 @ SV830 @ SV1159 )
!= ( c_List_Olist_ONil @ SV1159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2256]) ).
thf(2642,plain,
! [SV1160: $i,SV831: $i,SV414: $i] :
( ( ( ( c_List_Oappend @ SV414 @ SV831 @ SV1160 )
!= SV831 )
| ( SV414
= ( c_List_Olist_ONil @ SV1160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2257]) ).
thf(2643,plain,
! [SV1161: $i,SV832: $i,SV415: $i] :
( ( ! [SY3159: $i] :
( ( ( c_List_OtakeWhile @ SV415 @ SV832 @ SV1161 )
!= SV832 )
| ( hBOOL @ ( hAPP @ SV415 @ SY3159 ) )
| ~ ( c_in @ SY3159 @ ( c_List_Oset @ SV832 @ SV1161 ) @ SV1161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2258]) ).
thf(2644,plain,
! [SV1162: $i,SV833: $i,SV416: $i] :
( ( ! [SY3160: $i] :
( ( ( c_List_Orev @ SV416 @ SV833 )
!= ( c_List_Olist_OCons @ SV1162 @ SY3160 @ SV833 ) )
| ( SV416
= ( c_List_Oappend @ ( c_List_Orev @ SY3160 @ SV833 ) @ ( c_List_Olist_OCons @ SV1162 @ ( c_List_Olist_ONil @ SV833 ) @ SV833 ) @ SV833 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2259]) ).
thf(2645,plain,
! [SV1163: $i,SV834: $i,SV417: $i] :
( ( ( c_List_Olist_ONil @ SV417 )
!= ( c_List_Olist_OCons @ SV834 @ SV1163 @ SV417 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2260]) ).
thf(2646,plain,
! [SV835: $i,SV418: $i] :
( ( ( ( c_List_Oremdups @ SV418 @ SV835 )
!= SV418 )
= $true )
| ( ( c_List_Odistinct @ SV418 @ SV835 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2261]) ).
thf(2647,plain,
! [SV1164: $i,SV836: $i,SV419: $i] :
( ( ( ( c_Message_Oanalz @ SV419 )
!= ( c_Message_Oanalz @ SV836 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1164 @ SV419 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1164 @ SV836 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2648,plain,
! [SV1165: $i,SV837: $i,SV420: $i] :
( ( ! [SY3161: $i] :
( ( ( c_Event_Oevent_ONotes @ SV420 @ SV837 )
!= ( c_Event_Oevent_ONotes @ SV1165 @ SY3161 ) )
| ( SV837 = SY3161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2263]) ).
thf(2649,plain,
! [SV1166: $i,SV838: $i,SV421: $i] :
( ( ( SV421
!= ( c_List_Oappend @ SV838 @ SV421 @ SV1166 ) )
| ( SV838
= ( c_List_Olist_ONil @ SV1166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2264]) ).
thf(2650,plain,
! [SV1167: $i,SV839: $i,SV422: $i] :
( ( ! [SY3162: $i] :
( ( ( c_Set_Oinsert @ SV422 @ SV839 @ SV1167 )
!= ( c_Set_Oinsert @ SV422 @ SY3162 @ SV1167 ) )
| ( c_in @ SV422 @ SY3162 @ SV1167 )
| ( c_in @ SV422 @ SV839 @ SV1167 )
| ( SV839 = SY3162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2265]) ).
thf(2651,plain,
! [SV1168: $i,SV840: $i,SV423: $i] :
( ( ! [SY3163: $i,SY3164: $i] :
( ( SV423
!= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV840 @ SV423 @ SV1168 ) @ ( c_List_Olist_OCons @ SY3163 @ SY3164 @ SV1168 ) @ SV1168 ) )
| ( ( c_List_OdropWhile @ SV840 @ SV423 @ SV1168 )
= ( c_List_Olist_OCons @ SY3163 @ SY3164 @ SV1168 ) )
| ( hBOOL @ ( hAPP @ SV840 @ SY3163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2266]) ).
thf(2652,plain,
! [SV1169: $i,SV841: $i,SV424: $i] :
( ( ( ( c_List_Oappend @ SV424 @ SV841 @ SV1169 )
!= ( c_List_Olist_ONil @ SV1169 ) )
| ( SV424
= ( c_List_Olist_ONil @ SV1169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2653,plain,
! [SV842: $i,SV425: $i] :
( ( ( ( c_List_Oremdups @ SV425 @ SV842 )
!= ( c_List_Olist_ONil @ SV842 ) )
= $true )
| ( ( SV425
= ( c_List_Olist_ONil @ SV842 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2268]) ).
thf(2654,plain,
! [SV1170: $i,SV843: $i,SV426: $i] :
( ( ! [SY3165: $i,SY3166: $i] :
( ( ( c_List_Oappend @ SV426 @ ( c_List_Olist_OCons @ SV843 @ ( c_List_Olist_ONil @ SV1170 ) @ SV1170 ) @ SV1170 )
!= ( c_List_Oappend @ SY3165 @ ( c_List_Olist_OCons @ SY3166 @ ( c_List_Olist_ONil @ SV1170 ) @ SV1170 ) @ SV1170 ) )
| ( SV426 = SY3165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2269]) ).
thf(2655,plain,
! [SV1171: $i,SV844: $i,SV427: $i] :
( ( ! [SY3167: $i,SY3168: $i] :
( ( ( c_List_Olist_OCons @ SV427 @ SV844 @ SV1171 )
!= ( c_List_Olist_OCons @ SY3167 @ SY3168 @ SV1171 ) )
| ( SV427 = SY3167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2270]) ).
thf(2656,plain,
! [SV1172: $i,SV845: $i,SV428: $i] :
( ( ( ( c_List_Olist_ONil @ SV428 )
!= ( c_List_Oappend @ SV845 @ SV1172 @ SV428 ) )
| ( SV1172
= ( c_List_Olist_ONil @ SV428 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2271]) ).
thf(2657,plain,
! [SV1173: $i,SV846: $i,SV429: $i] :
( ( ! [SY3169: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV429 @ SV846 )
!= ( c_Message_Omsg_OCrypt @ SV1173 @ SY3169 ) )
| ( SV846 = SY3169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2272]) ).
thf(2658,plain,
! [SV1174: $i,SV847: $i,SV430: $i] :
( ( ! [SY3170: $i,SY3171: $i] :
( ( ( c_List_Oappend @ SV430 @ SV847 @ SV1174 )
!= ( c_List_Olist_OCons @ SY3170 @ SY3171 @ SV1174 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY3170 @ SY3171 @ SV430 @ SV847 @ SV1174 ) @ SV847 @ SV1174 )
= SY3171 )
| ( SV430
= ( c_List_Olist_ONil @ SV1174 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2273]) ).
thf(2659,plain,
! [SV1175: $i,SV848: $i,SV431: $i] :
( ( ! [SY3172: $i,SY3173: $i] :
( ( ( c_List_OdropWhile @ SV431 @ SV848 @ SV1175 )
!= ( c_List_Olist_OCons @ SY3172 @ SY3173 @ SV1175 ) )
| ( SV848
= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV431 @ SV848 @ SV1175 ) @ ( c_List_Olist_OCons @ SY3172 @ SY3173 @ SV1175 ) @ SV1175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2274]) ).
thf(2660,plain,
! [SV1176: $i,SV849: $i,SV432: $i] :
( ( ( ( c_List_Orev @ SV432 @ SV849 )
!= ( c_List_Olist_OCons @ SV1176 @ ( c_List_Olist_ONil @ SV849 ) @ SV849 ) )
| ( SV432
= ( c_List_Olist_OCons @ SV1176 @ ( c_List_Olist_ONil @ SV849 ) @ SV849 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2661,plain,
! [SV1177: $i,SV850: $i,SV433: $i] :
( ( ( c_List_Olist_OCons @ SV433 @ SV850 @ SV1177 )
!= ( c_List_Olist_ONil @ SV1177 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2276]) ).
thf(2662,plain,
! [SV1178: $i,SV851: $i,SV434: $i] :
( ( ! [SY3174: $i] :
( ( ( c_List_OdropWhile @ SV434 @ SV851 @ SV1178 )
!= ( c_List_Olist_ONil @ SV1178 ) )
| ( hBOOL @ ( hAPP @ SV434 @ SY3174 ) )
| ~ ( c_in @ SY3174 @ ( c_List_Oset @ SV851 @ SV1178 ) @ SV1178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2277]) ).
thf(2663,plain,
! [SV852: $i,SV435: $i] :
( ( ( ( c_List_Olist_ONil @ SV435 )
!= ( c_List_Oremdups @ SV852 @ SV435 ) )
= $true )
| ( ( SV852
= ( c_List_Olist_ONil @ SV435 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2278]) ).
thf(2664,plain,
! [SV1179: $i,SV853: $i,SV436: $i] :
( ( ! [SY3175: $i,SY3176: $i] :
( ( ( c_List_Oappend @ SV436 @ SV853 @ SV1179 )
!= ( c_List_Olist_OCons @ SY3175 @ SY3176 @ SV1179 ) )
| ( SV436
= ( c_List_Olist_OCons @ SY3175 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY3175 @ SY3176 @ SV436 @ SV853 @ SV1179 ) @ SV1179 ) )
| ( SV853
= ( c_List_Olist_OCons @ SY3175 @ SY3176 @ SV1179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2279]) ).
thf(2665,plain,
! [SV1180: $i,SV854: $i,SV437: $i] :
( ( ( ( c_List_Oappend @ SV437 @ SV854 @ SV1180 )
!= SV437 )
| ( SV854
= ( c_List_Olist_ONil @ SV1180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2280]) ).
thf(2666,plain,
! [SV1181: $i,SV855: $i,SV438: $i] :
( ( ( c_List_Olist_OCons @ SV438 @ SV855 @ SV1181 )
!= SV855 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2281]) ).
thf(2667,plain,
! [SV1182: $i,SV856: $i,SV439: $i] :
( ( ! [SY3177: $i,SY3178: $i] :
( ( ( c_List_Oappend @ SV439 @ SV856 @ SV1182 )
!= ( c_List_Olist_OCons @ SY3177 @ SY3178 @ SV1182 ) )
| ( SV439
= ( c_List_Olist_OCons @ SY3177 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SY3177 @ SY3178 @ SV439 @ SV856 @ SV1182 ) @ SV1182 ) )
| ( SV439
= ( c_List_Olist_ONil @ SV1182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2282]) ).
thf(2668,plain,
! [SV1183: $i,SV857: $i,SV440: $i] :
( ( ! [SY3179: $i] :
( ( ( c_Event_Oevent_OGets @ SV440 @ SV857 )
!= ( c_Event_Oevent_OGets @ SV1183 @ SY3179 ) )
| ( SV857 = SY3179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2283]) ).
thf(2669,plain,
! [SV858: $i,SV441: $i,SV1: $i] :
( ( ( c_in @ SV1 @ ( c_Event_Oused @ SV441 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV1 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV858 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2284]) ).
thf(2670,plain,
! [SV442: $i,SV2: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV2 ) @ ( c_Message_Oparts @ SV442 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV2 @ ( c_Message_Oparts @ SV442 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2671,plain,
! [SV443: $i,SV3: $i] :
( ( ( c_lessequals @ SV3 @ ( c_Message_Oparts @ SV443 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ SV3 ) @ ( c_Message_Oparts @ SV443 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2672,plain,
! [SV445: $i,SV5: $i] :
( ( ( c_lessequals @ SV5 @ SV445 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ SV5 ) @ ( c_Message_Oparts @ SV445 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2673,plain,
! [SV446: $i,SV6: $i] :
( ( ( c_in @ SV6 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SV446 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV6 @ ( c_Message_Oparts @ SV446 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2289]) ).
thf(2674,plain,
! [SV860: $i,SV447: $i,SV7: $i] :
( ( c_in @ ( c_Message_Omsg_OCrypt @ SV7 @ SV447 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV860 ) ) @ tc_Message_Omsg )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2290]) ).
thf(2675,plain,
! [SV861: $i,SV448: $i,SV8: $i] :
( ( ( c_in @ SV8 @ ( c_Message_Oparts @ SV448 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV861 @ SV8 ) @ ( c_Message_Oparts @ SV448 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2291]) ).
thf(2676,plain,
! [SV449: $i,SV12: $i] :
( ( ( c_in @ SV12 @ SV449 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV12 @ ( c_Message_Oparts @ SV449 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2292]) ).
thf(2677,plain,
! [SV450: $i,SV14: $i] :
( ( ( c_in @ SV14 @ ( c_Message_Oanalz @ SV450 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV14 @ ( c_Message_Oparts @ SV450 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2293]) ).
thf(2678,plain,
! [SV451: $i,SV15: $i] :
( ( ( c_in @ SV15 @ ( c_Message_Oanalz @ SV451 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV15 @ ( c_Message_Oparts @ SV451 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2679,plain,
! [SV452: $i,SV16: $i] :
( ( ( c_in @ SV16 @ ( c_Message_Oanalz @ SV452 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV16 @ ( c_Message_Oparts @ SV452 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2680,plain,
! [SV453: $i,SV17: $i] :
( ( ( c_in @ SV17 @ ( c_Message_Oparts @ SV453 ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV17 @ SV453 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SV453 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2296]) ).
thf(2681,plain,
! [SV862: $i,SV454: $i,SV18: $i] :
( ( ( c_in @ SV18 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV454 @ SV862 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV18 @ ( c_Message_Oparts @ SV862 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2297]) ).
thf(2682,plain,
! [SV863: $i,SV455: $i,SV19: $i] :
( ( ( c_in @ SV19 @ ( c_Message_Oparts @ SV455 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_lessequals @ SV863 @ ( c_Message_Oparts @ SV455 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV19 @ ( c_Message_Oparts @ SV863 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2298]) ).
thf(2683,plain,
! [SV457: $i,SV22: $i] :
( ( ( c_in @ SV22 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV457 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV22 @ ( c_Event_Oused @ SV457 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2299]) ).
thf(2684,plain,
! [SV458: $i,SV24: $i] :
( ( ( c_in @ SV24 @ SV458 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV24 @ ( c_Message_Osynth @ SV458 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2300]) ).
thf(2685,plain,
! [SV459: $i,SV25: $i] :
( ( ( c_in @ SV25 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SV459 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV25 @ ( c_Message_Osynth @ SV459 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2301]) ).
thf(2686,plain,
! [SV460: $i,SV26: $i] :
( ( ( c_List_Odistinct @ SV26 @ SV460 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Orev @ SV26 @ SV460 ) @ SV460 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2687,plain,
! [SV461: $i,SV27: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orev @ SV27 @ SV461 ) @ SV461 )
= $false )
| ( ( c_List_Odistinct @ SV27 @ SV461 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2303]) ).
thf(2688,plain,
! [SV462: $i,SV29: $i] :
( ( ( c_List_Odistinct @ SV29 @ SV462 )
= $false )
| ( ( ( c_List_Oremdups @ SV29 @ SV462 )
= SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2304]) ).
thf(2689,plain,
! [SV864: $i,SV463: $i,SV30: $i] :
( ( ( c_in @ SV30 @ ( c_Message_Osynth @ SV463 ) @ tc_Message_Omsg )
= $true )
| ( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV864 @ SV30 ) @ SV463 @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV864 @ SV30 ) @ ( c_Message_Osynth @ SV463 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2305]) ).
thf(2690,plain,
! [SV1184: $i,SV865: $i,SV464: $i,SV31: $i] :
( ( ( ( c_List_OtakeWhile @ SV31 @ SV464 @ SV865 )
= ( c_List_OtakeWhile @ SV1184 @ SV464 @ SV865 ) )
| ~ ( hBOOL @ ( hAPP @ SV1184 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SV1184 @ SV464 @ SV865 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV31 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SV1184 @ SV464 @ SV865 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2306]) ).
thf(2691,plain,
! [SV1185: $i,SV866: $i,SV465: $i,SV32: $i] :
( ( ( ( c_List_OtakeWhile @ SV32 @ SV465 @ SV866 )
= ( c_List_OtakeWhile @ SV1185 @ SV465 @ SV866 ) )
| ( hBOOL @ ( hAPP @ SV1185 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SV1185 @ SV465 @ SV866 ) ) )
| ( hBOOL @ ( hAPP @ SV32 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SV1185 @ SV465 @ SV866 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2307]) ).
thf(2692,plain,
! [SV1186: $i,SV867: $i,SV466: $i,SV33: $i] :
( ( ! [SY3180: $i] :
( ~ ( class_Orderings_Olinorder @ SV33 )
| ( c_List_Odistinct @ SV466 @ SV867 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1186 @ SY3180 @ SV466 @ SV867 @ SV33 ) @ SV867 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2308]) ).
thf(2693,plain,
! [SV868: $i,SV467: $i,SV34: $i] :
( ( ( c_List_Odistinct @ ( c_List_OtakeWhile @ SV34 @ SV467 @ SV868 ) @ SV868 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV467 @ SV868 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2309]) ).
thf(2694,plain,
! [SV1187: $i,SV869: $i,SV468: $i,SV35: $i] :
( ( ( ( c_List_Ofilter @ SV35 @ ( c_List_Olist_OCons @ SV468 @ SV869 @ SV1187 ) @ SV1187 )
= ( c_List_Ofilter @ SV35 @ SV869 @ SV1187 ) )
| ( hBOOL @ ( hAPP @ SV35 @ SV468 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2310]) ).
thf(2695,plain,
! [SV1188: $i,SV870: $i,SV469: $i,SV36: $i] :
( ( ( ( c_List_OdropWhile @ SV36 @ ( c_List_Olist_OCons @ SV469 @ SV870 @ SV1188 ) @ SV1188 )
= ( c_List_Olist_OCons @ SV469 @ SV870 @ SV1188 ) )
| ( hBOOL @ ( hAPP @ SV36 @ SV469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2311]) ).
thf(2696,plain,
! [SV1189: $i,SV871: $i,SV470: $i,SV37: $i] :
( ( ( ( c_List_OdropWhile @ SV37 @ ( c_List_Olist_OCons @ SV470 @ SV871 @ SV1189 ) @ SV1189 )
= ( c_List_OdropWhile @ SV37 @ SV871 @ SV1189 ) )
| ~ ( hBOOL @ ( hAPP @ SV37 @ SV470 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2312]) ).
thf(2697,plain,
! [SV1190: $i,SV872: $i,SV471: $i,SV38: $i] :
( ( ( ( c_List_Oremove1 @ SV38 @ ( c_List_Olist_OCons @ SV471 @ SV872 @ SV1190 ) @ SV1190 )
= ( c_List_Olist_OCons @ SV471 @ ( c_List_Oremove1 @ SV38 @ SV872 @ SV1190 ) @ SV1190 ) )
| ( SV38 = SV471 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2313]) ).
thf(2698,plain,
! [SV1191: $i,SV873: $i,SV472: $i,SV39: $i] :
( ( ( ( c_List_Ofilter @ SV39 @ ( c_List_Olist_OCons @ SV472 @ SV873 @ SV1191 ) @ SV1191 )
= ( c_List_Olist_OCons @ SV472 @ ( c_List_Ofilter @ SV39 @ SV873 @ SV1191 ) @ SV1191 ) )
| ~ ( hBOOL @ ( hAPP @ SV39 @ SV472 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2314]) ).
thf(2699,plain,
! [SV875: $i,SV474: $i,SV41: $i] :
( ( ( c_List_Odistinct @ SV41 @ SV474 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV875 @ SV41 @ SV474 ) @ SV474 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2316]) ).
thf(2700,plain,
! [SV879: $i,SV482: $i,SV52: $i] :
( ( ( c_List_Odistinct @ SV52 @ SV482 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV879 @ SV52 @ SV482 ) @ SV482 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2320]) ).
thf(2701,plain,
! [SV880: $i,SV483: $i,SV53: $i] :
( ( ( c_List_Odistinct @ SV53 @ SV483 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV53 @ SV880 @ SV483 ) @ SV483 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2321]) ).
thf(2702,plain,
! [SV1192: $i,SV881: $i,SV484: $i,SV54: $i] :
( ( ( c_List_Ofilter @ SV54 @ ( c_List_Oappend @ SV484 @ SV881 @ SV1192 ) @ SV1192 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV54 @ SV484 @ SV1192 ) @ ( c_List_Ofilter @ SV54 @ SV881 @ SV1192 ) @ SV1192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2322]) ).
thf(2703,plain,
! [SV882: $i,SV485: $i,SV55: $i] :
( ( ( c_in @ SV55 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV882 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV882 ) @ SV55 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2323]) ).
thf(2704,plain,
! [SV1193: $i,SV883: $i,SV486: $i,SV56: $i] :
( ( ( c_in @ SV56 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV486 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV883 @ SV1193 @ SV56 ) @ ( c_List_Oset @ SV486 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2324]) ).
thf(2705,plain,
! [SV884: $i,SV487: $i,SV57: $i] :
( ( ( c_List_Odistinct @ ( c_List_Ofilter @ SV57 @ SV487 @ SV884 ) @ SV884 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV487 @ SV884 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2325]) ).
thf(2706,plain,
! [SV488: $i,SV58: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV58 @ SV488 ) @ SV488 )
= $false )
| ( ( c_List_Odistinct @ SV58 @ SV488 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2326]) ).
thf(2707,plain,
! [SV489: $i,SV59: $i] :
( ( ( c_List_Odistinct @ SV59 @ SV489 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV59 @ SV489 ) @ SV489 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2708,plain,
! [SV491: $i,SV61: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV61 ) @ ( c_Message_Osynth @ SV491 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV61 @ ( c_Message_Osynth @ SV491 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2329]) ).
thf(2709,plain,
! [SV492: $i,SV62: $i] :
( ( ( c_lessequals @ SV62 @ ( c_Message_Osynth @ SV492 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Osynth @ SV62 ) @ ( c_Message_Osynth @ SV492 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2330]) ).
thf(2710,plain,
! [SV885: $i,SV493: $i,SV63: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV63 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV493 @ SV885 @ SV63 )
| ~ ( c_HOL_Oord__class_Oless @ SV885 @ SV493 @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2331]) ).
thf(2711,plain,
! [SV1194: $i,SV886: $i,SV494: $i,SV64: $i] :
( ( ~ ( class_HOL_Oord @ SV64 )
| ~ ( c_lessequals @ SV494 @ SV886 @ ( tc_fun @ SV1194 @ SV64 ) )
| ~ ( c_HOL_Oord__class_Oless @ SV886 @ SV494 @ ( tc_fun @ SV1194 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2332]) ).
thf(2712,plain,
! [SV887: $i,SV495: $i,SV65: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV65 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV495 @ SV887 @ SV65 )
| ( c_lessequals @ SV887 @ SV495 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2333]) ).
thf(2713,plain,
! [SV888: $i,SV496: $i,SV66: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV66 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV496 @ SV888 @ SV66 )
| ~ ( c_HOL_Oord__class_Oless @ SV888 @ SV496 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2334]) ).
thf(2714,plain,
! [SV889: $i,SV497: $i,SV67: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV67 ) )
= $true )
| ( ( ( c_lessequals @ SV497 @ SV889 @ SV67 )
| ( c_HOL_Oord__class_Oless @ SV889 @ SV497 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2335]) ).
thf(2715,plain,
! [SV890: $i,SV498: $i,SV68: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV68 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV498 @ SV890 @ SV68 )
| ~ ( c_lessequals @ SV890 @ SV498 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2336]) ).
thf(2716,plain,
! [SV499: $i,SV69: $i] :
( ( ( class_Orderings_Olinorder @ SV69 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV499 @ SV499 @ SV69 )
| ( c_lessequals @ SV499 @ SV499 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2337]) ).
thf(2717,plain,
! [SV500: $i,SV70: $i] :
( ( ( class_Orderings_Olinorder @ SV70 )
= $false )
| ( ( ~ ( c_lessequals @ SV500 @ SV500 @ SV70 )
| ~ ( c_HOL_Oord__class_Oless @ SV500 @ SV500 @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2338]) ).
thf(2718,plain,
! [SV891: $i,SV501: $i,SV71: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV71 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV501 @ SV891 @ SV71 )
| ( c_lessequals @ SV891 @ SV501 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2339]) ).
thf(2719,plain,
! [SV1195: $i,SV893: $i,SV503: $i,SV73: $i] :
( ( ~ ( class_Orderings_Oorder @ SV73 )
| ( c_HOL_Oord__class_Oless @ SV503 @ SV893 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SV503 @ SV1195 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SV1195 @ SV893 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2341]) ).
thf(2720,plain,
! [SV1196: $i,SV894: $i,SV504: $i,SV74: $i] :
( ( ( c_in @ SV74 @ SV504 @ SV894 )
| ~ ( c_in @ SV74 @ SV1196 @ SV894 )
| ~ ( c_HOL_Oord__class_Oless @ SV1196 @ SV504 @ ( tc_fun @ SV894 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2342]) ).
thf(2721,plain,
! [SV1197: $i,SV895: $i,SV505: $i,SV75: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV75 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV1197 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV75 @ SV1197 @ ( tc_fun @ SV895 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2343]) ).
thf(2722,plain,
! [SV1198: $i,SV896: $i,SV506: $i,SV76: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV76 )
| ( c_HOL_Oord__class_Oless @ SV506 @ SV896 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SV1198 @ SV896 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SV506 @ SV1198 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2344]) ).
thf(2723,plain,
! [SV1199: $i,SV897: $i,SV507: $i,SV77: $i] :
( ( ( c_in @ SV77 @ ( c_Event_Oused @ SV507 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV897 @ SV1199 @ SV77 ) @ ( c_List_Oset @ SV507 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2345]) ).
thf(2724,plain,
! [SV508: $i,SV78: $i] :
( ( ( c_lessequals @ SV78 @ SV508 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Osynth @ SV78 ) @ ( c_Message_Osynth @ SV508 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2725,plain,
! [SV898: $i,SV509: $i,SV79: $i] :
( ( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV79 @ SV509 @ SV898 ) @ SV898 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV509 @ SV898 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2347]) ).
thf(2726,plain,
! [SV1200: $i,SV899: $i,SV510: $i,SV80: $i] :
( ( ( ( c_List_Ofilter @ SV80 @ ( c_List_Oreplicate @ SV510 @ SV899 @ SV1200 ) @ SV1200 )
= ( c_List_Oreplicate @ SV510 @ SV899 @ SV1200 ) )
| ~ ( hBOOL @ ( hAPP @ SV80 @ SV899 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2348]) ).
thf(2727,plain,
! [SV900: $i,SV511: $i,SV81: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV81 @ SV511 @ SV900 ) @ SV900 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV511 @ SV900 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2349]) ).
thf(2728,plain,
! [SV901: $i,SV512: $i,SV82: $i] :
( ( ( c_in @ SV82 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV512 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV901 @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ ( c_Event_Oevent_ONotes @ SV901 @ SV82 ) @ ( c_List_Oset @ SV512 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2350]) ).
thf(2729,plain,
! [SV902: $i,SV513: $i,SV83: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV83 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV513 @ SV902 @ SV83 )
| ( c_lessequals @ SV902 @ SV513 @ SV83 )
| ~ ( c_lessequals @ SV513 @ SV902 @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2351]) ).
thf(2730,plain,
! [SV1201: $i,SV903: $i,SV515: $i,SV85: $i] :
( ( ~ ( class_HOL_Oord @ SV85 )
| ( c_HOL_Oord__class_Oless @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) )
| ( c_lessequals @ SV903 @ SV515 @ ( tc_fun @ SV1201 @ SV85 ) )
| ~ ( c_lessequals @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2353]) ).
thf(2731,plain,
! [SV516: $i,SV86: $i] :
( ( ( class_Orderings_Oorder @ SV86 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV516 @ SV516 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2354]) ).
thf(2732,plain,
! [SV517: $i,SV87: $i] :
( ( ( class_Orderings_Olinorder @ SV87 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV517 @ SV517 @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2733,plain,
! [SV518: $i,SV88: $i] :
( ( ( class_Orderings_Opreorder @ SV88 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV518 @ SV518 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2356]) ).
thf(2734,plain,
! [SV904: $i,SV519: $i,SV89: $i] :
( ( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV89 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV519 @ SV904 @ SV89 )
| ( c_HOL_Oord__class_Oless @ SV904 @ SV519 @ SV89 )
| ( SV904 = SV519 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2357]) ).
thf(2735,plain,
! [SV905: $i,SV520: $i,SV90: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV90 ) )
= $true )
| ( ( ( SV520 = SV905 )
| ( c_HOL_Oord__class_Oless @ SV905 @ SV520 @ SV90 )
| ( c_HOL_Oord__class_Oless @ SV520 @ SV905 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2358]) ).
thf(2736,plain,
! [SV906: $i,SV521: $i,SV91: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV91 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV521 @ SV906 @ SV91 )
| ( c_HOL_Oord__class_Oless @ SV906 @ SV521 @ SV91 )
| ( SV906 = SV521 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2359]) ).
thf(2737,plain,
! [SV907: $i,SV522: $i,SV92: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV92 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV522 @ SV907 @ SV92 )
| ( SV907 = SV522 )
| ( c_HOL_Oord__class_Oless @ SV907 @ SV522 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2360]) ).
thf(2738,plain,
! [SV908: $i,SV523: $i,SV93: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV93 ) )
= $true )
| ( ( ( SV523 = SV908 )
| ( c_HOL_Oord__class_Oless @ SV523 @ SV908 @ SV93 )
| ( c_HOL_Oord__class_Oless @ SV908 @ SV523 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2361]) ).
thf(2739,plain,
! [SV909: $i,SV524: $i,SV94: $i] :
( ( ( c_lessequals @ SV94 @ SV524 @ ( tc_fun @ SV909 @ tc_bool ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV94 @ SV524 @ ( tc_fun @ SV909 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2362]) ).
thf(2740,plain,
! [SV1202: $i,SV910: $i,SV525: $i,SV95: $i] :
( ( ~ ( class_HOL_Oord @ SV95 )
| ( c_lessequals @ SV525 @ SV910 @ ( tc_fun @ SV1202 @ SV95 ) )
| ~ ( c_HOL_Oord__class_Oless @ SV525 @ SV910 @ ( tc_fun @ SV1202 @ SV95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2363]) ).
thf(2741,plain,
! [SV911: $i,SV526: $i,SV96: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV96 ) )
= $true )
| ( ( ( c_lessequals @ SV526 @ SV911 @ SV96 )
| ~ ( c_HOL_Oord__class_Oless @ SV526 @ SV911 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2364]) ).
thf(2742,plain,
! [SV912: $i,SV527: $i,SV97: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV97 ) )
= $true )
| ( ( ( c_lessequals @ SV527 @ SV912 @ SV97 )
| ~ ( c_HOL_Oord__class_Oless @ SV527 @ SV912 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2365]) ).
thf(2743,plain,
! [SV913: $i,SV528: $i,SV98: $i] :
( ( ( c_in @ SV98 @ ( c_Event_Oused @ SV528 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_ONotes @ SV913 @ SV98 ) @ ( c_List_Oset @ SV528 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2366]) ).
thf(2744,plain,
! [SV1203: $i,SV914: $i,SV529: $i,SV99: $i] :
( ( ( ( c_List_Oremove1 @ SV99 @ ( c_List_Ofilter @ SV529 @ SV914 @ SV1203 ) @ SV1203 )
= ( c_List_Ofilter @ SV529 @ SV914 @ SV1203 ) )
| ( hBOOL @ ( hAPP @ SV529 @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2367]) ).
thf(2745,plain,
! [SV915: $i,SV530: $i,SV100: $i] :
( ( ( ( c_List_OtakeWhile @ SV100 @ SV530 @ SV915 )
= SV530 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV100 @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ SV100 @ SV530 @ SV915 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2368]) ).
thf(2746,plain,
! [SV1204: $i,SV916: $i,SV532: $i,SV103: $i] :
( ( ~ ( class_Orderings_Oorder @ SV103 )
| ( c_HOL_Oord__class_Oless @ SV532 @ SV916 @ SV103 )
| ~ ( c_lessequals @ SV532 @ SV1204 @ SV103 )
| ~ ( c_HOL_Oord__class_Oless @ SV1204 @ SV916 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2369]) ).
thf(2747,plain,
! [SV1205: $i,SV917: $i,SV533: $i,SV104: $i] :
( ( ~ ( class_Orderings_Oorder @ SV104 )
| ( c_HOL_Oord__class_Oless @ SV533 @ SV917 @ SV104 )
| ~ ( c_HOL_Oord__class_Oless @ SV533 @ SV1205 @ SV104 )
| ~ ( c_lessequals @ SV1205 @ SV917 @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2370]) ).
thf(2748,plain,
! [SV1206: $i,SV918: $i,SV534: $i,SV105: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV105 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
| ~ ( c_lessequals @ SV1206 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV105 @ SV1206 @ ( tc_fun @ SV918 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2371]) ).
thf(2749,plain,
! [SV1207: $i,SV919: $i,SV535: $i,SV106: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV106 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV1207 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
| ~ ( c_lessequals @ SV106 @ SV1207 @ ( tc_fun @ SV919 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2372]) ).
thf(2750,plain,
! [SV1208: $i,SV920: $i,SV536: $i,SV107: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV107 )
| ( c_HOL_Oord__class_Oless @ SV536 @ SV920 @ SV107 )
| ~ ( c_HOL_Oord__class_Oless @ SV1208 @ SV920 @ SV107 )
| ~ ( c_lessequals @ SV536 @ SV1208 @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2373]) ).
thf(2751,plain,
! [SV1209: $i,SV921: $i,SV537: $i,SV108: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV108 )
| ( c_HOL_Oord__class_Oless @ SV537 @ SV921 @ SV108 )
| ~ ( c_lessequals @ SV1209 @ SV921 @ SV108 )
| ~ ( c_HOL_Oord__class_Oless @ SV537 @ SV1209 @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2374]) ).
thf(2752,plain,
! [SV1210: $i,SV922: $i,SV538: $i,SV109: $i] :
( ( ! [SY3181: $i,SY3182: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SV538 @ SV922 @ SV1210 ) @ SY3181 @ SY3182 @ SV1210 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SY3181 @ SY3182 @ SV1210 ) @ SV538 @ SV922 @ SV1210 ) )
| ( SV538 = SY3181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2375]) ).
thf(2753,plain,
! [SV539: $i,SV110: $i] :
( ( ( class_Orderings_Olinorder @ SV110 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV539 @ SV110 ) @ SV110 )
| ~ ( c_List_Olinorder__class_Osorted @ SV539 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2376]) ).
thf(2754,plain,
! [SV924: $i,SV541: $i,SV112: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV112 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV541 @ SV924 @ SV112 )
| ( SV924 = SV541 )
| ~ ( c_lessequals @ SV541 @ SV924 @ SV112 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2378]) ).
thf(2755,plain,
! [SV925: $i,SV542: $i,SV113: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV113 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV542 @ SV925 @ SV113 )
| ~ ( c_lessequals @ SV542 @ SV925 @ SV113 )
| ( SV925 = SV542 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2379]) ).
thf(2756,plain,
! [SV926: $i,SV543: $i,SV114: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV114 @ SV543 @ ( tc_fun @ SV926 @ tc_bool ) )
= $true )
| ( ( ( SV114 = SV543 )
| ~ ( c_lessequals @ SV114 @ SV543 @ ( tc_fun @ SV926 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2380]) ).
thf(2757,plain,
! [SV927: $i,SV544: $i,SV115: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV115 ) )
= $true )
| ( ( ( SV544 = SV927 )
| ( c_HOL_Oord__class_Oless @ SV544 @ SV927 @ SV115 )
| ~ ( c_lessequals @ SV544 @ SV927 @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2381]) ).
thf(2758,plain,
! [SV928: $i,SV545: $i,SV116: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV116 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV545 @ SV928 @ SV116 )
| ( SV545 = SV928 )
| ~ ( c_lessequals @ SV545 @ SV928 @ SV116 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2382]) ).
thf(2759,plain,
! [SV929: $i,SV546: $i,SV117: $i] :
( ( ( SV117 = SV546 )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV117 @ SV546 @ ( tc_fun @ SV929 @ tc_bool ) )
| ~ ( c_lessequals @ SV117 @ SV546 @ ( tc_fun @ SV929 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2383]) ).
thf(2760,plain,
! [SV930: $i,SV547: $i,SV118: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV118 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV547 @ SV930 @ SV118 )
| ( SV547 = SV930 )
| ~ ( c_lessequals @ SV547 @ SV930 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2384]) ).
thf(2761,plain,
! [SV931: $i,SV548: $i,SV119: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV119 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV548 @ SV931 @ SV119 )
| ~ ( c_lessequals @ SV548 @ SV931 @ SV119 )
| ( SV548 = SV931 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2385]) ).
thf(2762,plain,
! [SV932: $i,SV549: $i,SV120: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV120 ) )
= $true )
| ( ( ( SV549 = SV932 )
| ~ ( c_lessequals @ SV549 @ SV932 @ SV120 )
| ( c_HOL_Oord__class_Oless @ SV549 @ SV932 @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2386]) ).
thf(2763,plain,
! [SV933: $i,SV550: $i,SV121: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV121 ) )
= $true )
| ( ( ( SV550 = SV933 )
| ( c_HOL_Oord__class_Oless @ SV550 @ SV933 @ SV121 )
| ~ ( c_lessequals @ SV550 @ SV933 @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2387]) ).
thf(2764,plain,
! [SV934: $i,SV551: $i,SV122: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV122 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV551 @ SV934 @ SV122 ) @ SV122 )
| ~ ( c_List_Olinorder__class_Osorted @ SV934 @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2388]) ).
thf(2765,plain,
! [SV1211: $i,SV935: $i,SV552: $i,SV123: $i] :
( ( ! [SY3183: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV123 @ SV552 @ SV935 @ SV1211 ) @ SV552 @ SY3183 @ SV1211 )
= ( c_List_Olist__update @ SV123 @ SV552 @ SY3183 @ SV1211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2389]) ).
thf(2766,plain,
! [SV936: $i,SV554: $i,SV125: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV125 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV554 @ SV936 @ SV125 ) @ SV125 )
| ~ ( c_List_Olinorder__class_Osorted @ SV936 @ SV125 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2390]) ).
thf(2767,plain,
! [SV937: $i,SV555: $i,SV126: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV126 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV555 @ SV937 @ SV126 )
| ~ ( c_HOL_Oord__class_Oless @ SV937 @ SV555 @ SV126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2391]) ).
thf(2768,plain,
! [SV938: $i,SV556: $i,SV127: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV127 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV556 @ SV938 @ SV127 )
| ~ ( c_HOL_Oord__class_Oless @ SV938 @ SV556 @ SV127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2392]) ).
thf(2769,plain,
! [SV939: $i,SV557: $i,SV128: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV128 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV557 @ SV939 @ SV128 )
| ~ ( c_HOL_Oord__class_Oless @ SV939 @ SV557 @ SV128 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2393]) ).
thf(2770,plain,
! [SV940: $i,SV558: $i,SV129: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV129 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV558 @ SV940 @ SV129 )
| ~ ( c_HOL_Oord__class_Oless @ SV940 @ SV558 @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2394]) ).
thf(2771,plain,
! [SV941: $i,SV559: $i,SV130: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV130 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV559 @ SV941 @ SV130 ) @ SV130 )
| ~ ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV559 @ SV941 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV559 @ SV941 @ SV130 ) @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV559 @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2395]) ).
thf(2772,plain,
! [SV1212: $i,SV942: $i,SV560: $i,SV131: $i] :
( ( ( c_in @ SV131 @ ( c_Event_Oknows @ SV560 @ SV942 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV560 @ SV1212 @ SV131 ) @ ( c_List_Oset @ SV942 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2396]) ).
thf(2773,plain,
! [SV943: $i,SV561: $i,SV132: $i] :
( ( ( c_in @ SV132 @ ( c_Event_Oknows @ SV561 @ SV943 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_ONotes @ SV561 @ SV132 ) @ ( c_List_Oset @ SV943 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2397]) ).
thf(2774,plain,
! [SV1213: $i,SV944: $i,SV562: $i,SV133: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV133 @ SV562 @ ( tc_fun @ SV944 @ tc_bool ) )
| ~ ( c_in @ SV1213 @ SV562 @ SV944 )
| ~ ( c_HOL_Oord__class_Oless @ SV133 @ ( c_Set_Oinsert @ SV1213 @ SV562 @ SV944 ) @ ( tc_fun @ SV944 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2398]) ).
thf(2775,plain,
! [SV1214: $i,SV945: $i,SV563: $i,SV134: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV134 @ ( c_Set_Oinsert @ SV563 @ SV945 @ SV1214 ) @ ( tc_fun @ SV1214 @ tc_bool ) )
| ~ ( c_in @ SV563 @ SV945 @ SV1214 )
| ~ ( c_HOL_Oord__class_Oless @ SV134 @ SV945 @ ( tc_fun @ SV1214 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2399]) ).
thf(2776,plain,
! [SV1215: $i,SV946: $i,SV564: $i,SV135: $i] :
( ( ~ ( c_in @ SV135 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV564 @ SV946 @ SV1215 ) @ SV1215 ) @ SV1215 )
| ( c_in @ SV135 @ ( c_List_Oset @ SV946 @ SV1215 ) @ SV1215 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2400]) ).
thf(2777,plain,
! [SV1216: $i,SV947: $i,SV565: $i,SV136: $i] :
( ( ( c_in @ SV136 @ ( c_List_Oset @ SV565 @ SV947 ) @ SV947 )
| ~ ( c_in @ SV136 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV1216 @ SV565 @ SV947 ) @ SV947 ) @ SV947 )
| ( SV136 = SV1216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2401]) ).
thf(2778,plain,
! [SV1217: $i,SV948: $i,SV566: $i,SV137: $i] :
( ( ( c_in @ SV137 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV566 @ SV948 @ SV1217 ) @ SV1217 ) @ SV1217 )
| ~ ( c_in @ SV137 @ ( c_List_Oset @ SV948 @ SV1217 ) @ SV1217 )
| ( SV137 = SV566 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2402]) ).
thf(2779,plain,
! [SV951: $i,SV569: $i,SV140: $i] :
( ( ( c_in @ SV140 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV951 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV140 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV951 @ SV569 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2405]) ).
thf(2780,plain,
! [SV1218: $i,SV952: $i,SV570: $i,SV141: $i] :
( ( ( c_in @ SV141 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV570 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV952 @ SV1218 @ SV141 ) @ ( c_List_Oset @ SV570 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2406]) ).
thf(2781,plain,
! [SV953: $i,SV571: $i,SV142: $i] :
( ( ( c_in @ SV142 @ ( c_Message_Osynth @ SV571 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_lessequals @ SV953 @ ( c_Message_Osynth @ SV571 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV142 @ ( c_Message_Osynth @ SV953 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2407]) ).
thf(2782,plain,
! [SV1219: $i,SV954: $i,SV572: $i,SV143: $i] :
( ( ( ( c_List_Ofilter @ SV143 @ ( c_List_Oreplicate @ SV572 @ SV954 @ SV1219 ) @ SV1219 )
= ( c_List_Olist_ONil @ SV1219 ) )
| ( hBOOL @ ( hAPP @ SV143 @ SV954 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2408]) ).
thf(2783,plain,
! [SV1220: $i,SV956: $i,SV574: $i,SV145: $i] :
( ( ( ( c_List_OtakeWhile @ SV145 @ ( c_List_Oappend @ SV574 @ SV956 @ SV1220 ) @ SV1220 )
= ( c_List_Oappend @ SV574 @ ( c_List_OtakeWhile @ SV145 @ SV956 @ SV1220 ) @ SV1220 ) )
| ~ ( hBOOL @ ( hAPP @ SV145 @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV145 @ SV574 @ SV1220 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2410]) ).
thf(2784,plain,
! [SV957: $i,SV575: $i,SV146: $i] :
( ( ( c_in @ SV146 @ ( c_Event_Oknows @ SV575 @ SV957 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV575 @ SV146 ) @ ( c_List_Oset @ SV957 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV575 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2411]) ).
thf(2785,plain,
! [SV576: $i,SV147: $i] :
( ( ( c_lessequals @ SV147 @ SV576 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV147 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV576 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2412]) ).
thf(2786,plain,
! [SV958: $i,SV578: $i,SV149: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV149 @ SV578 ) @ SV958 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV958 ) )
= $true )
| ( ( c_in @ SV149 @ c_Event_Obad @ tc_Message_Oagent )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2413]) ).
thf(2787,plain,
! [SV959: $i,SV579: $i,SV150: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV150 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV150 @ SV579 @ SV959 ) @ SV959 ) ) ) )
= $true )
| ( ( ( c_List_OdropWhile @ SV150 @ SV579 @ SV959 )
= ( c_List_Olist_ONil @ SV959 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2414]) ).
thf(2788,plain,
! [SV962: $i,SV582: $i,SV153: $i] :
( ( ( ( c_Set_Oinsert @ SV153 @ SV582 @ SV962 )
= SV582 )
= $true )
| ( ( ~ ( c_in @ SV153 @ SV582 @ SV962 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2417]) ).
thf(2789,plain,
! [SV964: $i,SV587: $i,SV161: $i] :
( ( ( hBOOL @ ( hAPP @ SV161 @ SV587 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV161 @ SV964 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Olist_ONil @ SV964 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2419]) ).
thf(2790,plain,
! [SV1221: $i,SV965: $i,SV589: $i,SV166: $i] :
( ( ( c_in @ SV166 @ ( c_List_Oset @ ( c_List_Oappend @ SV589 @ ( c_List_Olist_OCons @ SV166 @ SV965 @ SV1221 ) @ SV1221 ) @ SV1221 ) @ SV1221 )
| ( c_in @ SV166 @ ( c_List_Oset @ SV589 @ SV1221 ) @ SV1221 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2422]) ).
thf(2791,plain,
! [SV1222: $i,SV966: $i,SV590: $i,SV167: $i] :
( ( ( c_in @ SV167 @ ( c_List_Oset @ ( c_List_Oappend @ SV590 @ ( c_List_Olist_OCons @ SV167 @ SV966 @ SV1222 ) @ SV1222 ) @ SV1222 ) @ SV1222 )
| ( c_in @ SV167 @ ( c_List_Oset @ SV966 @ SV1222 ) @ SV1222 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2423]) ).
thf(2792,plain,
! [SV1223: $i,SV967: $i,SV591: $i,SV168: $i] :
( ( c_in @ SV168 @ ( c_List_Oset @ ( c_List_Oappend @ SV591 @ ( c_List_Olist_OCons @ SV168 @ SV967 @ SV1223 ) @ SV1223 ) @ SV1223 ) @ SV1223 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2424]) ).
thf(2793,plain,
! [SV968: $i,SV592: $i,SV169: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV169 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ SV592 @ SV169 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV968 @ SV592 @ SV169 ) @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2425]) ).
thf(2794,plain,
! [SV969: $i,SV593: $i,SV170: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV170 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ SV593 @ SV170 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV593 @ SV969 @ SV170 ) @ SV170 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2426]) ).
thf(2795,plain,
! [SV1224: $i,SV970: $i,SV594: $i,SV171: $i] :
( ( ( c_List_Oappend @ ( c_List_Oreplicate @ SV171 @ SV594 @ SV970 ) @ ( c_List_Oreplicate @ SV1224 @ SV594 @ SV970 ) @ SV970 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SV1224 @ SV594 @ SV970 ) @ ( c_List_Oreplicate @ SV171 @ SV594 @ SV970 ) @ SV970 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2427]) ).
thf(2796,plain,
! [SV1225: $i,SV972: $i,SV596: $i,SV173: $i] :
( ( ~ ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV596 ) ) @ tc_Message_Omsg )
| ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV972 @ SV1225 ) @ SV596 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2429]) ).
thf(2797,plain,
! [SV1226: $i,SV973: $i,SV597: $i,SV174: $i] :
( ( ~ ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV597 ) ) @ tc_Message_Omsg )
| ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV973 @ SV1226 ) @ SV597 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2430]) ).
thf(2798,plain,
! [SV1227: $i,SV974: $i,SV598: $i,SV175: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV175 @ SV598 ) @ ( c_Event_Oknows @ SV175 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV974 @ SV1227 ) @ SV598 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2431]) ).
thf(2799,plain,
! [SV1228: $i,SV975: $i,SV599: $i,SV176: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV176 @ SV599 ) @ ( c_Event_Oknows @ SV176 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV975 @ SV1228 ) @ SV599 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2432]) ).
thf(2800,plain,
! [SV976: $i,SV600: $i,SV177: $i] :
( ( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV177 @ SV600 ) @ SV976 @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( c_in @ SV600 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV976 ) ) ) @ tc_Message_Omsg )
| ~ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV976 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2433]) ).
thf(2801,plain,
! [SV1229: $i,SV977: $i,SV601: $i,SV178: $i] :
( ( ! [SY3184: $i] :
( ~ ( class_Orderings_Olinorder @ SV178 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV601 @ SV977 @ SV1229 @ SY3184 @ SV178 )
= ( c_List_Olist_OCons @ SV977 @ SV1229 @ SY3184 ) )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV977 @ SV601 @ SV1229 @ SY3184 @ SV178 ) @ ( c_List_Oset @ SV1229 @ SY3184 ) @ SY3184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2802,plain,
! [SV1230: $i,SV978: $i,SV602: $i,SV179: $i] :
( ( ( ( c_List_OtakeWhile @ SV179 @ ( c_List_Oappend @ SV602 @ SV978 @ SV1230 ) @ SV1230 )
= ( c_List_Oappend @ SV602 @ ( c_List_OtakeWhile @ SV179 @ SV978 @ SV1230 ) @ SV1230 ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV179 @ SV602 @ SV1230 ) @ ( c_List_Oset @ SV602 @ SV1230 ) @ SV1230 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2435]) ).
thf(2803,plain,
! [SV979: $i,SV603: $i,SV180: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV180 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV603 @ SV979 @ SV180 ) @ SV180 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV603 @ SV979 @ SV180 ) @ ( c_List_Oset @ SV979 @ SV180 ) @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SV979 @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SV603 @ SV180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2436]) ).
thf(2804,plain,
! [SV980: $i,SV604: $i,SV181: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV181 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV604 @ SV980 @ SV181 ) @ SV181 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV604 @ SV980 @ SV181 ) @ ( c_List_Oset @ SV604 @ SV181 ) @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SV980 @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SV604 @ SV181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2437]) ).
thf(2805,plain,
! [SV981: $i,SV605: $i,SV182: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV182 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV605 @ SV981 @ SV182 ) @ SV182 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV605 @ SV981 @ SV182 ) @ ( c_List_Oset @ SV981 @ SV182 ) @ SV182 )
| ~ ( c_List_Olinorder__class_Osorted @ SV981 @ SV182 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2438]) ).
thf(2806,plain,
! [SV1231: $i,SV982: $i,SV606: $i,SV183: $i] :
( ( ! [SY3185: $i] :
( ~ ( class_Orderings_Olinorder @ SV183 )
| ~ ( c_in @ SV606 @ ( c_List_Oset @ SV982 @ SV1231 ) @ SV1231 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SY3185 @ SV606 @ SV982 @ SV1231 @ SV183 ) @ SV1231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2439]) ).
thf(2807,plain,
! [SV1232: $i,SV983: $i,SV607: $i,SV184: $i] :
( ( ! [SY3186: $i] :
( ~ ( class_Orderings_Olinorder @ SV184 )
| ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV607 @ SV983 @ SV1232 @ SY3186 @ SV184 ) @ SY3186 )
| ~ ( c_List_Odistinct @ SV1232 @ SY3186 )
| ( c_in @ SV983 @ ( c_List_Oset @ SV1232 @ SY3186 ) @ SY3186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2440]) ).
thf(2808,plain,
! [SV1233: $i,SV985: $i,SV609: $i,SV186: $i] :
( ( ! [SY3187: $i] :
( ~ ( class_Orderings_Olinorder @ SV186 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV609 @ SV985 @ SV1233 @ SY3187 @ SV186 )
= ( c_List_Olist_OCons @ SV985 @ SV1233 @ SY3187 ) )
| ~ ( c_lessequals @ ( hAPP @ SV609 @ SV985 ) @ ( hAPP @ SV609 @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV985 @ SV609 @ SV1233 @ SY3187 @ SV186 ) ) @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2442]) ).
thf(2809,plain,
! [SV188: $i,SV611: $i] :
( ( ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SV611 @ SV188 ) @ ( c_Set_Oinsert @ SV188 @ ( c_Message_Oanalz @ SV611 ) @ tc_Message_Omsg ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV188 @ SV611 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV188 @ ( c_Message_Oanalz @ SV611 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2810,plain,
! [SV612: $i,SV189: $i] :
( ( ( c_in @ SV189 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV612 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV189 @ SV612 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SV612 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2445]) ).
thf(2811,plain,
! [SV986: $i,SV613: $i,SV190: $i] :
( ( ( ( c_List_OtakeWhile @ SV190 @ SV613 @ SV986 )
= SV613 )
= $true )
| ( ( c_in @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ SV190 @ SV613 @ SV986 ) @ ( c_List_Oset @ SV613 @ SV986 ) @ SV986 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2446]) ).
thf(2812,plain,
! [SV1234: $i,SV987: $i,SV614: $i,SV191: $i] :
( ( ( ( c_List_OtakeWhile @ SV191 @ SV614 @ SV987 )
= ( c_List_OtakeWhile @ SV1234 @ SV614 @ SV987 ) )
| ( c_in @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV191 @ SV1234 @ SV614 @ SV987 ) @ ( c_List_Oset @ SV614 @ SV987 ) @ SV987 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2447]) ).
thf(2813,plain,
! [SV988: $i,SV615: $i,SV192: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV192 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV615 @ SV988 @ SV192 ) @ SV192 )
| ~ ( c_lessequals @ SV615 @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV615 @ SV988 @ SV192 ) @ SV192 )
| ~ ( c_List_Olinorder__class_Osorted @ SV988 @ SV192 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2448]) ).
thf(2814,plain,
! [SV1235: $i,SV989: $i,SV616: $i,SV193: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV193 @ SV616 @ SV989 @ SV1235 ) @ SV1235 ) @ ( c_Set_Oinsert @ SV989 @ ( c_List_Oset @ SV193 @ SV1235 ) @ SV1235 ) @ ( tc_fun @ SV1235 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2449]) ).
thf(2815,plain,
! [SV1236: $i,SV990: $i,SV617: $i,SV194: $i] :
( ( ( ( c_List_Oremove1 @ SV194 @ ( c_List_Oappend @ SV617 @ SV990 @ SV1236 ) @ SV1236 )
= ( c_List_Oappend @ ( c_List_Oremove1 @ SV194 @ SV617 @ SV1236 ) @ SV990 @ SV1236 ) )
| ~ ( c_in @ SV194 @ ( c_List_Oset @ SV617 @ SV1236 ) @ SV1236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2450]) ).
thf(2816,plain,
! [SV1237: $i,SV991: $i,SV618: $i,SV195: $i] :
( ( ! [SY3188: $i] :
( ( ( c_List_OdropWhile @ SV195 @ ( c_List_Oappend @ SV618 @ SV991 @ SV1237 ) @ SV1237 )
= ( c_List_Oappend @ ( c_List_OdropWhile @ SV195 @ SV618 @ SV1237 ) @ SV991 @ SV1237 ) )
| ( hBOOL @ ( hAPP @ SV195 @ SY3188 ) )
| ~ ( c_in @ SY3188 @ ( c_List_Oset @ SV618 @ SV1237 ) @ SV1237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2451]) ).
thf(2817,plain,
! [SV1238: $i,SV992: $i,SV619: $i,SV196: $i] :
( ( ( ( c_List_Oremove1 @ SV196 @ ( c_List_Oappend @ SV619 @ SV992 @ SV1238 ) @ SV1238 )
= ( c_List_Oappend @ SV619 @ ( c_List_Oremove1 @ SV196 @ SV992 @ SV1238 ) @ SV1238 ) )
| ( c_in @ SV196 @ ( c_List_Oset @ SV619 @ SV1238 ) @ SV1238 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2452]) ).
thf(2818,plain,
! [SV1239: $i,SV993: $i,SV620: $i,SV197: $i] :
( ( ! [SY3189: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV197 @ SV620 @ SV993 @ SV1239 ) @ SV1239 ) @ SY3189 @ ( tc_fun @ SV1239 @ tc_bool ) )
| ~ ( c_in @ SV993 @ SY3189 @ SV1239 )
| ~ ( c_lessequals @ ( c_List_Oset @ SV197 @ SV1239 ) @ SY3189 @ ( tc_fun @ SV1239 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2453]) ).
thf(2819,plain,
! [SV994: $i,SV621: $i,SV198: $i] :
( ( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ SV198 @ SV621 @ SV994 ) @ SV994 )
= ( c_List_Oremdups @ SV621 @ SV994 ) )
= $true )
| ( ( ~ ( c_in @ SV198 @ ( c_List_Oset @ SV621 @ SV994 ) @ SV994 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2454]) ).
thf(2820,plain,
! [SV1240: $i,SV995: $i,SV622: $i,SV199: $i] :
( ( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV199 @ SV622 @ SV995 ) @ SV1240 @ SV995 )
= ( c_List_Olist_OCons @ SV199 @ ( c_List_Olist__inter @ SV622 @ SV1240 @ SV995 ) @ SV995 ) )
| ~ ( c_in @ SV199 @ ( c_List_Oset @ SV1240 @ SV995 ) @ SV995 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2455]) ).
thf(2821,plain,
! [SV1241: $i,SV996: $i,SV623: $i,SV200: $i] :
( ( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV200 @ SV623 @ SV996 ) @ SV1241 @ SV996 )
= ( c_List_Olist__inter @ SV623 @ SV1241 @ SV996 ) )
| ( c_in @ SV200 @ ( c_List_Oset @ SV1241 @ SV996 ) @ SV996 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2456]) ).
thf(2822,plain,
! [SV997: $i,SV624: $i,SV201: $i] :
( ( ( ( c_List_Olength__unique @ ( c_List_Olist_OCons @ SV201 @ SV624 @ SV997 ) @ SV997 )
= ( c_List_Olength__unique @ SV624 @ SV997 ) )
= $true )
| ( ( ~ ( c_in @ SV201 @ ( c_List_Oset @ SV624 @ SV997 ) @ SV997 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2457]) ).
thf(2823,plain,
! [SV998: $i,SV625: $i,SV202: $i] :
( ( ( ~ ( c_in @ SV202 @ ( c_List_Oset @ SV625 @ SV998 ) @ SV998 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV202 @ SV625 @ SV998 ) @ SV998 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2458]) ).
thf(2824,plain,
! [SV999: $i,SV626: $i,SV203: $i] :
( ( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ SV203 @ SV626 @ SV999 ) @ SV999 )
= ( c_List_Olist_OCons @ SV203 @ ( c_List_Oremdups @ SV626 @ SV999 ) @ SV999 ) )
= $true )
| ( ( c_in @ SV203 @ ( c_List_Oset @ SV626 @ SV999 ) @ SV999 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2459]) ).
thf(2825,plain,
! [SV1000: $i,SV627: $i,SV204: $i] :
( ( ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV204 @ SV627 @ SV1000 ) @ SV1000 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV627 @ SV1000 )
| ( c_in @ SV204 @ ( c_List_Oset @ SV627 @ SV1000 ) @ SV1000 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2460]) ).
thf(2826,plain,
! [SV1242: $i,SV1001: $i,SV628: $i,SV205: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV205 @ ( c_Set_Oinsert @ SV628 @ SV1001 @ SV1242 ) @ ( tc_fun @ SV1242 @ tc_bool ) )
| ~ ( c_lessequals @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) )
| ( c_in @ SV628 @ SV205 @ SV1242 )
| ~ ( c_HOL_Oord__class_Oless @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2461]) ).
thf(2827,plain,
! [SV1243: $i,SV1002: $i,SV629: $i,SV206: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV206 @ ( c_Set_Oinsert @ SV629 @ SV1002 @ SV1243 ) @ ( tc_fun @ SV1243 @ tc_bool ) )
| ~ ( c_lessequals @ SV206 @ SV1002 @ ( tc_fun @ SV1243 @ tc_bool ) )
| ( c_in @ SV629 @ SV206 @ SV1243 )
| ( c_in @ SV629 @ SV1002 @ SV1243 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2462]) ).
thf(2828,plain,
! [SV1244: $i,SV1003: $i,SV630: $i,SV207: $i] :
( ( ( c_lessequals @ SV207 @ SV630 @ ( tc_fun @ SV1003 @ tc_bool ) )
| ( c_in @ SV1244 @ SV207 @ SV1003 )
| ( c_in @ SV1244 @ SV630 @ SV1003 )
| ~ ( c_HOL_Oord__class_Oless @ SV207 @ ( c_Set_Oinsert @ SV1244 @ SV630 @ SV1003 ) @ ( tc_fun @ SV1003 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2463]) ).
thf(2829,plain,
! [SV1004: $i,SV631: $i,SV208: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV208 @ SV631 ) @ SV1004 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV631 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1004 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_in @ SV208 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2464]) ).
thf(2830,plain,
! [SV1245: $i,SV1005: $i,SV632: $i,SV209: $i] :
( ( ( c_in @ SV209 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV632 ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1005 @ SV1245 @ SV209 ) @ ( c_List_Oset @ SV632 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2465]) ).
thf(2831,plain,
! [SV1006: $i,SV633: $i,SV210: $i] :
( ( ( c_in @ SV210 @ ( c_Event_OinitState @ SV633 ) @ tc_Message_Omsg )
= $true )
| ( ( ( c_in @ ( c_Event_Oevent_ONotes @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV633 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV633 @ SV210 @ SV1006 ) @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV633 = c_Message_Oagent_OSpy )
| ~ ( c_in @ SV210 @ ( c_Event_Oknows @ SV633 @ SV1006 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2466]) ).
thf(2832,plain,
! [SV1246: $i,SV1009: $i,SV636: $i,SV214: $i] :
( ( ( c_lessequals @ SV214 @ SV636 @ ( tc_fun @ SV1009 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV1246 @ SV214 @ SV1009 ) @ SV636 @ ( tc_fun @ SV1009 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2469]) ).
thf(2833,plain,
! [SV1247: $i,SV1010: $i,SV637: $i,SV215: $i] :
( ( ( c_lessequals @ SV215 @ ( c_Set_Oinsert @ SV637 @ SV1010 @ SV1247 ) @ ( tc_fun @ SV1247 @ tc_bool ) )
| ~ ( c_lessequals @ SV215 @ SV1010 @ ( tc_fun @ SV1247 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2470]) ).
thf(2834,plain,
! [SV1248: $i,SV1012: $i,SV639: $i,SV217: $i] :
( ( ( c_in @ SV217 @ SV639 @ SV1012 )
| ( SV217 = SV1248 )
| ~ ( c_in @ SV217 @ ( c_Set_Oinsert @ SV1248 @ SV639 @ SV1012 ) @ SV1012 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2472]) ).
thf(2835,plain,
! [SV1249: $i,SV1013: $i,SV640: $i,SV218: $i] :
( ( ( c_in @ SV218 @ ( c_Set_Oinsert @ SV640 @ SV1013 @ SV1249 ) @ SV1249 )
| ~ ( c_in @ SV218 @ SV1013 @ SV1249 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2473]) ).
thf(2836,plain,
! [SV1250: $i,SV1014: $i,SV641: $i,SV219: $i] :
( ( ( c_in @ SV219 @ ( c_Set_Oinsert @ SV641 @ SV1014 @ SV1250 ) @ SV1250 )
| ~ ( c_in @ SV219 @ SV1014 @ SV1250 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2474]) ).
thf(2837,plain,
! [SV1251: $i,SV1015: $i,SV642: $i,SV220: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV220 @ SV642 @ SV1015 ) @ ( c_Set_Oinsert @ SV220 @ SV1251 @ SV1015 ) @ ( tc_fun @ SV1015 @ tc_bool ) )
| ~ ( c_lessequals @ SV642 @ SV1251 @ ( tc_fun @ SV1015 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2475]) ).
thf(2838,plain,
! [SV1252: $i,SV1016: $i,SV643: $i,SV221: $i] :
( ( ( ( c_List_OtakeWhile @ SV221 @ ( c_List_Olist_OCons @ SV643 @ SV1016 @ SV1252 ) @ SV1252 )
= ( c_List_Olist_OCons @ SV643 @ ( c_List_OtakeWhile @ SV221 @ SV1016 @ SV1252 ) @ SV1252 ) )
| ~ ( hBOOL @ ( hAPP @ SV221 @ SV643 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2476]) ).
thf(2839,plain,
! [SV1017: $i,SV644: $i,SV222: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV222 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ SV644 @ SV222 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1017 @ SV644 @ SV222 ) @ SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2477]) ).
thf(2840,plain,
! [SV1253: $i,SV1018: $i,SV645: $i,SV223: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV223 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1253 @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 ) @ SV223 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2478]) ).
thf(2841,plain,
! [SV1254: $i,SV1019: $i,SV646: $i,SV224: $i] :
( ( ! [SY3190: $i] :
( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV224 @ SV646 @ SV1019 ) @ ( c_List_Olist_OCons @ SV1254 @ SY3190 @ SV1019 ) @ SV1019 )
= ( c_List_Olist_OCons @ SV224 @ ( c_List_Olist_OCons @ SV1254 @ ( c_List_Osplice @ SV646 @ SY3190 @ SV1019 ) @ SV1019 ) @ SV1019 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2479]) ).
thf(2842,plain,
! [SV1255: $i,SV1022: $i,SV649: $i,SV227: $i] :
( ( ! [SY3191: $i] :
( ~ ( class_HOL_Oord @ SV227 )
| ( c_lessequals @ ( hAPP @ SV649 @ SV1022 ) @ ( hAPP @ SV1255 @ SV1022 ) @ SV227 )
| ~ ( c_lessequals @ SV649 @ SV1255 @ ( tc_fun @ SY3191 @ SV227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2482]) ).
thf(2843,plain,
! [SV1256: $i,SV1023: $i,SV650: $i,SV228: $i] :
( ( ( hBOOL @ ( hAPP @ SV228 @ SV650 ) )
| ~ ( c_in @ SV650 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SV228 @ SV1023 @ SV1256 ) @ SV1256 ) @ SV1256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2483]) ).
thf(2844,plain,
! [SV1257: $i,SV1024: $i,SV652: $i,SV230: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV230 )
| ( c_lessequals @ SV652 @ SV1024 @ SV230 )
| ~ ( c_in @ SV1024 @ ( c_List_Oset @ SV1257 @ SV230 ) @ SV230 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV652 @ SV1257 @ SV230 ) @ SV230 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2485]) ).
thf(2845,plain,
! [SV1258: $i,SV1025: $i,SV653: $i,SV231: $i] :
( ( ( c_in @ SV231 @ ( c_List_Oset @ SV653 @ SV1025 ) @ SV1025 )
| ~ ( c_in @ SV231 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SV1258 @ SV653 @ SV1025 ) @ SV1025 ) @ SV1025 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2486]) ).
thf(2846,plain,
! [SV1026: $i,SV654: $i,SV232: $i] :
( ( ( c_in @ SV232 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV654 @ SV1026 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV232 @ ( c_Message_Oanalz @ SV1026 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2487]) ).
thf(2847,plain,
! [SV1259: $i,SV1027: $i,SV655: $i,SV233: $i] :
( ( ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SV655 @ SV1027 @ SV1259 ) @ SV1259 ) @ SV1259 ) @ SV1259 )
| ~ ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ SV655 @ SV1259 ) @ SV1259 ) @ SV1259 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2488]) ).
thf(2848,plain,
! [SV1260: $i,SV1028: $i,SV656: $i,SV234: $i] :
( ( ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SV656 @ SV1028 @ SV1260 ) @ SV1260 ) @ SV1260 ) @ SV1260 )
| ~ ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ SV1028 @ SV1260 ) @ SV1260 ) @ SV1260 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2489]) ).
thf(2849,plain,
! [SV1029: $i,SV657: $i,SV235: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV235 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OtakeWhile @ SV657 @ SV1029 @ SV235 ) @ SV235 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1029 @ SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2490]) ).
thf(2850,plain,
! [SV1261: $i,SV1030: $i,SV658: $i,SV236: $i] :
( ( ! [SY3192: $i,SY3193: $i] :
( ~ ( class_Orderings_Olinorder @ SV236 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV658 @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SY3192 @ SY3193 ) @ SY3193 @ SV236 )
= ( c_List_Olist_OCons @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SY3192 @ SY3193 ) @ SY3193 ) )
| ~ ( c_lessequals @ ( hAPP @ SV658 @ SV1030 ) @ ( hAPP @ SV658 @ SV1261 ) @ SV236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2491]) ).
thf(2851,plain,
! [SV1262: $i,SV1031: $i,SV659: $i,SV237: $i] :
( ( ( c_lessequals @ SV237 @ SV659 @ ( tc_fun @ SV1031 @ tc_bool ) )
| ~ ( c_lessequals @ SV237 @ ( c_Set_Oinsert @ SV1262 @ SV659 @ SV1031 ) @ ( tc_fun @ SV1031 @ tc_bool ) )
| ( c_in @ SV1262 @ SV237 @ SV1031 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2492]) ).
thf(2852,plain,
! [SV1263: $i,SV1032: $i,SV660: $i,SV238: $i] :
( ( ( c_lessequals @ SV238 @ ( c_Set_Oinsert @ SV660 @ SV1032 @ SV1263 ) @ ( tc_fun @ SV1263 @ tc_bool ) )
| ~ ( c_lessequals @ SV238 @ SV1032 @ ( tc_fun @ SV1263 @ tc_bool ) )
| ( c_in @ SV660 @ SV238 @ SV1263 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2493]) ).
thf(2853,plain,
! [SV1264: $i,SV1033: $i,SV661: $i,SV239: $i] :
( ( ( c_lessequals @ SV239 @ SV661 @ ( tc_fun @ SV1033 @ tc_bool ) )
| ( c_in @ SV1264 @ SV239 @ SV1033 )
| ~ ( c_lessequals @ SV239 @ ( c_Set_Oinsert @ SV1264 @ SV661 @ SV1033 ) @ ( tc_fun @ SV1033 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2494]) ).
thf(2854,plain,
! [SV1265: $i,SV1034: $i,SV662: $i,SV240: $i] :
( ( ( c_lessequals @ SV240 @ ( c_Set_Oinsert @ SV662 @ SV1034 @ SV1265 ) @ ( tc_fun @ SV1265 @ tc_bool ) )
| ~ ( c_lessequals @ SV240 @ SV1034 @ ( tc_fun @ SV1265 @ tc_bool ) )
| ( c_in @ SV662 @ SV240 @ SV1265 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2495]) ).
thf(2855,plain,
! [SV663: $i,SV241: $i] :
( ( ( c_in @ SV241 @ ( c_Message_Oanalz @ SV663 ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV241 @ SV663 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV663 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2496]) ).
thf(2856,plain,
! [SV1266: $i,SV1035: $i,SV664: $i,SV242: $i] :
( ( ( c_in @ SV242 @ SV664 @ SV1035 )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV242 @ SV1266 @ SV1035 ) @ SV664 @ ( tc_fun @ SV1035 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2497]) ).
thf(2857,plain,
! [SV1267: $i,SV1036: $i,SV665: $i,SV243: $i] :
( ( ! [SY3194: $i] :
( ( hBOOL @ ( hAPP @ SV243 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ ( c_List_Oappend @ SV665 @ ( c_List_Olist_OCons @ SV1036 @ SV1267 @ SY3194 ) @ SY3194 ) @ SY3194 ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ SV665 @ SY3194 ) @ ( c_List_Oset @ SV665 @ SY3194 ) @ SY3194 )
| ~ ( hBOOL @ ( hAPP @ SV243 @ SV1036 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2498]) ).
thf(2858,plain,
! [SV1268: $i,SV1037: $i,SV666: $i,SV244: $i] :
( ( ! [SY3195: $i] :
( ~ ( class_Orderings_Olinorder @ SV244 )
| ( c_lessequals @ SV666 @ SV1037 @ SV244 )
| ~ ( c_in @ SV1037 @ ( c_List_Oset @ SV1268 @ SV244 ) @ SV244 )
| ~ ( c_in @ SV666 @ ( c_List_Oset @ SY3195 @ SV244 ) @ SV244 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY3195 @ SV1268 @ SV244 ) @ SV244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2499]) ).
thf(2859,plain,
! [SV1269: $i,SV1038: $i,SV667: $i,SV245: $i] :
( ( ( c_in @ SV245 @ ( c_List_Oset @ SV667 @ SV1038 ) @ SV1038 )
| ( SV245 = SV1269 )
| ~ ( c_in @ SV245 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1269 @ SV667 @ SV1038 ) @ SV1038 ) @ SV1038 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2500]) ).
thf(2860,plain,
! [SV1270: $i,SV1039: $i,SV668: $i,SV246: $i] :
( ( ! [SY3196: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SV1270 @ SY3196 ) @ SY3196 ) @ SY3196 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SV1270 @ SY3196 ) @ SY3196 ) @ SY3196 ) @ SY3196 )
| ( hBOOL @ ( hAPP @ SV246 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ SV1270 @ SY3196 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV246 @ SV1039 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2501]) ).
thf(2861,plain,
! [SV1040: $i,SV669: $i,SV247: $i] :
( ( ( hBOOL @ ( hAPP @ SV247 @ SV669 ) )
= $true )
| ( ( ~ ( c_in @ SV669 @ SV247 @ SV1040 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2502]) ).
thf(2862,plain,
! [SV1041: $i,SV670: $i,SV248: $i] :
( ( ( c_in @ SV248 @ SV670 @ SV1041 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV670 @ SV248 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2503]) ).
thf(2863,plain,
! [SV671: $i,SV249: $i] :
( ( ( c_in @ SV249 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV671 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV249 @ ( c_Message_Oanalz @ SV671 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2504]) ).
thf(2864,plain,
! [SV1042: $i,SV674: $i,SV252: $i] :
( ( ( c_in @ SV252 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ SV1042 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
| ~ ( c_in @ SV252 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1042 @ SV674 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2507]) ).
thf(2865,plain,
! [SV1271: $i,SV1043: $i,SV679: $i,SV257: $i] :
( ( ! [SY3197: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SV1271 @ SY3197 ) @ SY3197 ) @ SY3197 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SV1271 @ SY3197 ) @ SY3197 ) @ SY3197 ) @ SY3197 )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ SV679 @ SY3197 ) @ ( c_List_Oset @ SV679 @ SY3197 ) @ SY3197 )
| ~ ( hBOOL @ ( hAPP @ SV257 @ SV1043 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2508]) ).
thf(2866,plain,
! [SV1272: $i,SV1045: $i,SV682: $i,SV260: $i] :
( ( ! [SY3198: $i] :
( ( ( c_List_OtakeWhile @ SV260 @ ( c_List_Oappend @ SV682 @ SV1045 @ SV1272 ) @ SV1272 )
= ( c_List_OtakeWhile @ SV260 @ SV682 @ SV1272 ) )
| ( hBOOL @ ( hAPP @ SV260 @ SY3198 ) )
| ~ ( c_in @ SY3198 @ ( c_List_Oset @ SV682 @ SV1272 ) @ SV1272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2511]) ).
thf(2867,plain,
! [SV1046: $i,SV683: $i,SV261: $i] :
( ( ( c_in @ SV261 @ ( c_Message_Oanalz @ SV683 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_lessequals @ SV1046 @ ( c_Message_Oanalz @ SV683 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV261 @ ( c_Message_Oanalz @ SV1046 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2512]) ).
thf(2868,plain,
! [SV684: $i,SV263: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV263 ) @ ( c_Message_Oanalz @ SV684 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV263 @ ( c_Message_Oanalz @ SV684 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2513]) ).
thf(2869,plain,
! [SV685: $i,SV264: $i] :
( ( ( c_lessequals @ SV264 @ ( c_Message_Oanalz @ SV685 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ SV264 ) @ ( c_Message_Oanalz @ SV685 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2514]) ).
thf(2870,plain,
! [SV1273: $i,SV1047: $i,SV686: $i,SV265: $i] :
( ( ! [SY3199: $i,SY3200: $i] :
( ~ ( class_Orderings_Olinorder @ SV265 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ ( c_List_Olist_OCons @ SV1273 @ SY3199 @ SY3200 ) @ SY3200 @ SV265 )
= ( c_List_Olist_OCons @ SV1273 @ ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ SY3199 @ SY3200 @ SV265 ) @ SY3200 ) )
| ( c_lessequals @ ( hAPP @ SV686 @ SV1047 ) @ ( hAPP @ SV686 @ SV1273 ) @ SV265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2515]) ).
thf(2871,plain,
! [SV1274: $i,SV1048: $i,SV687: $i,SV266: $i] :
( ( ( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV266 @ SV687 @ SV1048 ) @ SV1274 @ SV1048 )
= ( c_List_Olist_OCons @ SV266 @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV1274 @ SV1048 ) @ ( c_List_Osplice @ SV687 @ ( c_List_Otl @ SV1274 @ SV1048 ) @ SV1048 ) @ SV1048 ) @ SV1048 ) )
| ( SV1274
= ( c_List_Olist_ONil @ SV1048 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2516]) ).
thf(2872,plain,
! [SV1049: $i,SV689: $i,SV268: $i] :
( ( ( SV268 = SV689 )
= $true )
| ( ( ~ ( c_lessequals @ SV689 @ SV268 @ ( tc_fun @ SV1049 @ tc_bool ) )
| ~ ( c_lessequals @ SV268 @ SV689 @ ( tc_fun @ SV1049 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2517]) ).
thf(2873,plain,
! [SV1050: $i,SV690: $i,SV269: $i] :
( ( ( SV269 = SV690 )
= $true )
| ( ( ~ ( c_lessequals @ SV690 @ SV269 @ ( tc_fun @ SV1050 @ tc_bool ) )
| ~ ( c_lessequals @ SV269 @ SV690 @ ( tc_fun @ SV1050 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2518]) ).
thf(2874,plain,
! [SV1051: $i,SV691: $i,SV270: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV270 ) )
= $true )
| ( ( ( SV691 = SV1051 )
| ~ ( c_lessequals @ SV1051 @ SV691 @ SV270 )
| ~ ( c_lessequals @ SV691 @ SV1051 @ SV270 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2519]) ).
thf(2875,plain,
! [SV1052: $i,SV692: $i,SV271: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV271 ) )
= $true )
| ( ( ( SV692 = SV1052 )
| ~ ( c_lessequals @ SV1052 @ SV692 @ SV271 )
| ~ ( c_lessequals @ SV692 @ SV1052 @ SV271 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2520]) ).
thf(2876,plain,
! [SV1053: $i,SV693: $i,SV272: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV272 ) )
= $true )
| ( ( ( SV693 = SV1053 )
| ~ ( c_lessequals @ SV693 @ SV1053 @ SV272 )
| ~ ( c_lessequals @ SV1053 @ SV693 @ SV272 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2521]) ).
thf(2877,plain,
! [SV1275: $i,SV1054: $i,SV694: $i,SV273: $i] :
( ( ( SV273 = SV694 )
| ~ ( c_in @ SV273 @ ( c_List_Oset @ ( c_List_Oreplicate @ SV1054 @ SV694 @ SV1275 ) @ SV1275 ) @ SV1275 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2522]) ).
thf(2878,plain,
! [SV1276: $i,SV1055: $i,SV696: $i,SV275: $i] :
( ( ! [SY3201: $i] :
( ~ ( class_Orderings_Olinorder @ SV275 )
| ( ( c_List_Oset @ ( c_List_Olinorder__class_Oinsort__key @ SV696 @ SV1055 @ SV1276 @ SY3201 @ SV275 ) @ SY3201 )
= ( c_Set_Oinsert @ SV1055 @ ( c_List_Oset @ SV1276 @ SY3201 ) @ SY3201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2523]) ).
thf(2879,plain,
! [SV1277: $i,SV1056: $i,SV697: $i,SV276: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV276 )
| ( c_lessequals @ SV697 @ SV1056 @ SV276 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV697 @ ( c_List_Olist_OCons @ SV1056 @ SV1277 @ SV276 ) @ SV276 ) @ SV276 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2524]) ).
thf(2880,plain,
! [SV1058: $i,SV699: $i,SV278: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV278 @ SV699 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV699 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1058 @ SV699 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_in @ SV278 @ ( c_Message_Oanalz @ SV1058 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2526]) ).
thf(2881,plain,
! [SV1278: $i,SV1059: $i,SV700: $i,SV279: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV279 @ SV700 @ SV1059 ) @ SV1278 @ ( tc_fun @ SV1059 @ tc_bool ) )
| ~ ( c_lessequals @ SV700 @ SV1278 @ ( tc_fun @ SV1059 @ tc_bool ) )
| ~ ( c_in @ SV279 @ SV1278 @ SV1059 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2527]) ).
thf(2882,plain,
! [SV701: $i,SV280: $i] :
( ( ( c_in @ SV280 @ SV701 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV280 @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2528]) ).
thf(2883,plain,
! [SV1279: $i,SV1060: $i,SV702: $i,SV281: $i] :
( ( ! [SY3202: $i] :
( ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ ( c_List_Oappend @ SV702 @ ( c_List_Olist_OCons @ SV1060 @ SV1279 @ SY3202 ) @ SY3202 ) @ SY3202 ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ SV1279 @ SY3202 ) @ ( c_List_Oset @ SV1279 @ SY3202 ) @ SY3202 )
| ~ ( hBOOL @ ( hAPP @ SV281 @ SV1060 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2529]) ).
thf(2884,plain,
! [SV1280: $i,SV1061: $i,SV703: $i,SV282: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV282 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV703 @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 ) @ SV282 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 )
| ~ ( c_lessequals @ SV703 @ SV1061 @ SV282 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2530]) ).
thf(2885,plain,
! [SV1281: $i,SV1062: $i,SV704: $i,SV283: $i] :
( ( ! [SY3203: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SV1281 @ SY3203 ) @ SY3203 ) @ SY3203 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SV1281 @ SY3203 ) @ SY3203 ) @ SY3203 ) @ SY3203 )
| ( hBOOL @ ( hAPP @ SV283 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ SV704 @ SY3203 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV283 @ SV1062 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2531]) ).
thf(2886,plain,
! [SV1282: $i,SV1063: $i,SV705: $i,SV284: $i] :
( ( ~ ( class_Orderings_Oorder @ SV284 )
| ( c_lessequals @ SV705 @ SV1063 @ SV284 )
| ~ ( c_lessequals @ SV705 @ SV1282 @ SV284 )
| ~ ( c_lessequals @ SV1282 @ SV1063 @ SV284 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2532]) ).
thf(2887,plain,
! [SV1283: $i,SV1064: $i,SV706: $i,SV285: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV285 )
| ( c_lessequals @ SV706 @ SV1064 @ SV285 )
| ~ ( c_lessequals @ SV1283 @ SV1064 @ SV285 )
| ~ ( c_lessequals @ SV706 @ SV1283 @ SV285 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2533]) ).
thf(2888,plain,
! [SV1284: $i,SV1065: $i,SV707: $i,SV286: $i] :
( ( ( c_in @ SV286 @ SV707 @ SV1065 )
| ~ ( c_in @ SV286 @ SV1284 @ SV1065 )
| ~ ( c_lessequals @ SV1284 @ SV707 @ ( tc_fun @ SV1065 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2534]) ).
thf(2889,plain,
! [SV1285: $i,SV1066: $i,SV708: $i,SV287: $i] :
( ( ( c_in @ SV287 @ SV708 @ SV1066 )
| ~ ( c_in @ SV287 @ SV1285 @ SV1066 )
| ~ ( c_lessequals @ SV1285 @ SV708 @ ( tc_fun @ SV1066 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2535]) ).
thf(2890,plain,
! [SV1286: $i,SV1067: $i,SV710: $i,SV289: $i] :
( ( ( c_in @ SV289 @ SV710 @ SV1067 )
| ~ ( c_lessequals @ SV1286 @ SV710 @ ( tc_fun @ SV1067 @ tc_bool ) )
| ~ ( c_in @ SV289 @ SV1286 @ SV1067 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2536]) ).
thf(2891,plain,
! [SV1287: $i,SV1068: $i,SV711: $i,SV290: $i] :
( ( ( c_in @ SV290 @ SV711 @ SV1068 )
| ~ ( c_in @ SV290 @ SV1287 @ SV1068 )
| ~ ( c_lessequals @ SV1287 @ SV711 @ ( tc_fun @ SV1068 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2537]) ).
thf(2892,plain,
! [SV1288: $i,SV1069: $i,SV713: $i,SV292: $i] :
( ( ( c_lessequals @ SV292 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
| ~ ( c_lessequals @ SV1288 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
| ~ ( c_lessequals @ SV292 @ SV1288 @ ( tc_fun @ SV1069 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2538]) ).
thf(2893,plain,
! [SV1289: $i,SV1070: $i,SV714: $i,SV293: $i] :
( ( ( hBOOL @ ( hAPP @ SV293 @ SV714 ) )
| ~ ( hBOOL @ ( hAPP @ SV1070 @ SV714 ) )
| ~ ( c_lessequals @ SV1070 @ SV293 @ ( tc_fun @ SV1289 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2539]) ).
thf(2894,plain,
! [SV715: $i,SV294: $i] :
( ( ( class_Orderings_Oorder @ SV294 )
= $false )
| ( ( c_lessequals @ SV715 @ SV715 @ SV294 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2540]) ).
thf(2895,plain,
! [SV716: $i,SV295: $i] :
( ( ( class_Orderings_Opreorder @ SV295 )
= $false )
| ( ( c_lessequals @ SV716 @ SV716 @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2541]) ).
thf(2896,plain,
! [SV1290: $i,SV1071: $i,SV717: $i,SV296: $i] :
( ( ( hBOOL @ ( hAPP @ SV296 @ SV717 ) )
| ~ ( c_lessequals @ SV1071 @ SV296 @ ( tc_fun @ SV1290 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV1071 @ SV717 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2542]) ).
thf(2897,plain,
! [SV718: $i,SV297: $i] :
( ( ( c_lessequals @ SV297 @ SV718 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ SV297 ) @ ( c_Message_Oanalz @ SV718 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2543]) ).
thf(2898,plain,
! [SV1072: $i,SV719: $i,SV298: $i] :
( ( ( c_in @ SV298 @ ( c_List_Oset @ SV719 @ SV1072 ) @ SV1072 )
= $true )
| ( ( ~ ( c_in @ SV298 @ ( c_List_Oset @ ( c_List_Obutlast @ SV719 @ SV1072 ) @ SV1072 ) @ SV1072 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2544]) ).
thf(2899,plain,
! [SV1291: $i,SV1073: $i,SV720: $i,SV299: $i] :
( ( ! [SY3204: $i] :
( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SV1291 @ SY3204 ) @ SY3204 ) @ SY3204 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SV1291 @ SY3204 ) @ SY3204 ) @ SY3204 ) @ SY3204 )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ SV1291 @ SY3204 ) @ ( c_List_Oset @ SV1291 @ SY3204 ) @ SY3204 )
| ~ ( hBOOL @ ( hAPP @ SV299 @ SV1073 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2545]) ).
thf(2900,plain,
! [SV1074: $i,SV722: $i,SV302: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV302 ) )
= $true )
| ( ( ( c_lessequals @ SV722 @ SV1074 @ SV302 )
| ( c_lessequals @ SV1074 @ SV722 @ SV302 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2546]) ).
thf(2901,plain,
! [SV1075: $i,SV723: $i,SV303: $i] :
( ( ( hBOOL @ ( hAPP @ SV303 @ SV723 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Oappend @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV303 @ SV1075 ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__induct__1__1 @ SV303 @ SV1075 ) @ ( c_List_Olist_ONil @ SV1075 ) @ SV1075 ) @ SV1075 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ SV1075 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2547]) ).
thf(2902,plain,
! [SV1292: $i,SV1079: $i,SV729: $i,SV309: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV309 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV729 @ SV1079 @ ( c_List_Olist_ONil @ SV1292 ) @ SV1292 @ SV309 )
= ( c_List_Olist_OCons @ SV1079 @ ( c_List_Olist_ONil @ SV1292 ) @ SV1292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2553]) ).
thf(2903,plain,
! [SV1080: $i,SV730: $i,SV310: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV310 @ SV730 @ SV1080 ) @ SV1080 )
= ( c_List_Olist_OCons @ SV310 @ ( c_List_Obutlast @ SV730 @ SV1080 ) @ SV1080 ) )
= $true )
| ( ( SV730
= ( c_List_Olist_ONil @ SV1080 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2554]) ).
thf(2904,plain,
! [SV1293: $i,SV1082: $i,SV734: $i,SV314: $i] :
( ( ( ( c_List_OtakeWhile @ SV314 @ ( c_List_Olist_OCons @ SV734 @ SV1082 @ SV1293 ) @ SV1293 )
= ( c_List_Olist_ONil @ SV1293 ) )
| ( hBOOL @ ( hAPP @ SV314 @ SV734 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2556]) ).
thf(2905,plain,
! [SV1083: $i,SV736: $i,SV316: $i] :
( ( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV316 @ SV736 @ SV1083 ) @ SV1083 )
= ( c_List_Olast @ SV736 @ SV1083 ) )
= $true )
| ( ( SV736
= ( c_List_Olist_ONil @ SV1083 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2557]) ).
thf(2906,plain,
! [SV738: $i,SV318: $i] :
( ( ( class_Orderings_Olinorder @ SV318 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV738 @ ( c_List_Olist_ONil @ SV318 ) @ SV318 ) @ SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2558]) ).
thf(2907,plain,
! [SV1294: $i,SV1084: $i,SV739: $i,SV319: $i] :
( ( ( c_List_Oappend @ ( c_List_Oreplicate @ SV319 @ SV739 @ SV1084 ) @ ( c_List_Olist_OCons @ SV739 @ SV1294 @ SV1084 ) @ SV1084 )
= ( c_List_Olist_OCons @ SV739 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV319 @ SV739 @ SV1084 ) @ SV1294 @ SV1084 ) @ SV1084 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2559]) ).
thf(2908,plain,
! [SV1295: $i,SV1085: $i,SV740: $i,SV320: $i] :
( ( ! [SY3205: $i] :
( ( ( c_List_OtakeWhile @ SV320 @ ( c_List_Oappend @ SV740 @ ( c_List_Olist_OCons @ SV1085 @ SV1295 @ SY3205 ) @ SY3205 ) @ SY3205 )
= ( c_List_OtakeWhile @ SV320 @ SV740 @ SY3205 ) )
| ( hBOOL @ ( hAPP @ SV320 @ SV1085 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2560]) ).
thf(2909,plain,
! [SV1296: $i,SV1086: $i,SV741: $i,SV321: $i] :
( ( ! [SY3206: $i] :
( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ ( c_List_Oappend @ SV741 @ ( c_List_Olist_OCons @ SV1086 @ SV1296 @ SY3206 ) @ SY3206 ) @ SY3206 ) ) )
| ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ SV741 @ SY3206 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV321 @ SV1086 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2561]) ).
thf(2910,plain,
! [SV1297: $i,SV1087: $i,SV742: $i,SV322: $i] :
( ( ! [SY3207: $i] :
( ( c_List_Oconcat__map @ SV322 @ ( c_List_Olist_OCons @ SV742 @ SV1087 @ SV1297 ) @ SV1297 @ SY3207 )
= ( c_List_Oappend @ ( hAPP @ SV322 @ SV742 ) @ ( c_List_Oconcat__map @ SV322 @ SV1087 @ SV1297 @ SY3207 ) @ SY3207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2562]) ).
thf(2911,plain,
! [SV1298: $i,SV1088: $i,SV743: $i,SV323: $i] :
( ( ! [SY3208: $i] :
( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ ( c_List_Oappend @ SV743 @ ( c_List_Olist_OCons @ SV1088 @ SV1298 @ SY3208 ) @ SY3208 ) @ SY3208 ) ) )
| ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ SV1298 @ SY3208 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV323 @ SV1088 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2563]) ).
thf(2912,plain,
! [SV1089: $i,SV744: $i,SV324: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV324 @ SV744 @ SV1089 ) @ SV1089 )
= ( c_List_Oappend @ SV324 @ ( c_List_Obutlast @ SV744 @ SV1089 ) @ SV1089 ) )
= $true )
| ( ( SV744
= ( c_List_Olist_ONil @ SV1089 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2564]) ).
thf(2913,plain,
! [SV1090: $i,SV747: $i,SV327: $i] :
( ( ( ( c_List_Olast @ ( c_List_Oappend @ SV327 @ SV747 @ SV1090 ) @ SV1090 )
= ( c_List_Olast @ SV747 @ SV1090 ) )
= $true )
| ( ( SV747
= ( c_List_Olist_ONil @ SV1090 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2565]) ).
thf(2914,plain,
! [SV1091: $i,SV748: $i,SV328: $i] :
( ( ( ( c_List_Otl @ ( c_List_Oappend @ SV328 @ SV748 @ SV1091 ) @ SV1091 )
= ( c_List_Oappend @ ( c_List_Otl @ SV328 @ SV1091 ) @ SV748 @ SV1091 ) )
= $true )
| ( ( SV328
= ( c_List_Olist_ONil @ SV1091 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2566]) ).
thf(2915,plain,
! [SV1092: $i,SV750: $i,SV330: $i] :
( ( ( ( c_List_Ohd @ ( c_List_Oappend @ SV330 @ SV750 @ SV1092 ) @ SV1092 )
= ( c_List_Ohd @ SV330 @ SV1092 ) )
= $true )
| ( ( SV330
= ( c_List_Olist_ONil @ SV1092 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2567]) ).
thf(2916,plain,
! [SV1299: $i,SV1093: $i,SV751: $i,SV331: $i] :
( ( ! [SY3209: $i] :
( ~ ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV751 ) ) @ tc_Message_Omsg )
| ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1093 @ SV1299 @ SY3209 ) @ SV751 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2568]) ).
thf(2917,plain,
! [SV1300: $i,SV1103: $i,SV761: $i,SV342: $i] :
( ( ! [SY3210: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV342 @ SV761 ) @ ( c_Event_Oknows @ SV342 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1103 @ SV1300 @ SY3210 ) @ SV761 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2578]) ).
thf(2918,plain,
! [SV1104: $i,SV762: $i,SV343: $i] :
( ( ( ( c_Event_Oknows @ SV343 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV343 @ SV762 ) @ SV1104 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV762 @ ( c_Event_Oknows @ SV343 @ SV1104 ) @ tc_Message_Omsg ) )
= $true )
| ( ( SV343 = c_Message_Oagent_OSpy )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2579]) ).
thf(2919,plain,
! [SV1301: $i,SV1105: $i,SV763: $i,SV344: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV344 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV763 @ SV1105 @ SV1301 ) @ SV344 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2580]) ).
thf(2920,plain,
! [SV1302: $i,SV1106: $i,SV764: $i,SV345: $i] :
( ( ( c_List_Oappend @ SV345 @ ( c_List_Oappend @ SV764 @ SV1106 @ SV1302 ) @ SV1302 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV345 @ SV764 @ SV1302 ) @ SV1106 @ SV1302 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2581]) ).
thf(2921,plain,
! [SV1303: $i,SV1107: $i,SV765: $i,SV346: $i] :
( ( ( c_List_Oappend @ ( c_List_Oappend @ SV346 @ SV765 @ SV1107 ) @ SV1303 @ SV1107 )
= ( c_List_Oappend @ SV346 @ ( c_List_Oappend @ SV765 @ SV1303 @ SV1107 ) @ SV1107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2582]) ).
thf(2922,plain,
! [SV1304: $i,SV1108: $i,SV766: $i,SV347: $i] :
( ( ( c_List_Oappend @ SV347 @ ( c_List_Oappend @ SV766 @ SV1108 @ SV1304 ) @ SV1304 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV347 @ SV766 @ SV1304 ) @ SV1108 @ SV1304 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2583]) ).
thf(2923,plain,
! [SV1305: $i,SV1109: $i,SV767: $i,SV348: $i] :
( ( ( c_List_Oappend @ ( c_List_Oappend @ SV348 @ SV767 @ SV1109 ) @ SV1305 @ SV1109 )
= ( c_List_Oappend @ SV348 @ ( c_List_Oappend @ SV767 @ SV1305 @ SV1109 ) @ SV1109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2584]) ).
thf(2924,plain,
! [SV1306: $i,SV1110: $i,SV768: $i,SV350: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV350 @ SV768 @ SV1110 ) @ SV1306 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1110 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1306 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2585]) ).
thf(2925,plain,
! [SV1307: $i,SV1113: $i,SV771: $i,SV353: $i] :
( ( ( c_Event_Oknows @ SV353 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV353 @ SV771 @ SV1113 ) @ SV1307 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1113 @ ( c_Event_Oknows @ SV353 @ SV1307 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2588]) ).
thf(2926,plain,
! [SV1308: $i,SV1114: $i,SV772: $i,SV354: $i] :
( ( ( hBOOL @ ( hAPP @ SV354 @ SV772 ) )
| ( SV1114 = SV772 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1114 @ SV354 @ SV1308 ) @ SV772 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2589]) ).
thf(2927,plain,
! [SV1309: $i,SV1116: $i,SV779: $i,SV361: $i] :
( ( ( c_Set_Oinsert @ SV361 @ ( c_Set_Oinsert @ SV779 @ SV1116 @ SV1309 ) @ SV1309 )
= ( c_Set_Oinsert @ SV779 @ ( c_Set_Oinsert @ SV361 @ SV1116 @ SV1309 ) @ SV1309 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2591]) ).
thf(2928,plain,
! [SV1310: $i,SV1117: $i,SV780: $i,SV362: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV362 @ SV780 @ SV1117 ) @ SV1310 @ SV1117 )
= ( c_List_Olist_OCons @ SV362 @ ( c_List_Oappend @ SV780 @ SV1310 @ SV1117 ) @ SV1117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2592]) ).
thf(2929,plain,
! [SV1311: $i,SV1118: $i,SV781: $i,SV363: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV363 @ SV781 @ SV1118 ) @ SV1311 @ SV1118 )
= ( c_List_Olist_OCons @ SV363 @ ( c_List_Oappend @ SV781 @ SV1311 @ SV1118 ) @ SV1118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2593]) ).
thf(2930,plain,
! [SV1312: $i,SV1119: $i,SV782: $i,SV364: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV364 @ SV782 @ SV1119 ) @ SV1312 ) )
| ~ ( hBOOL @ ( hAPP @ SV782 @ SV1312 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2594]) ).
thf(2931,plain,
! [SV1313: $i,SV1120: $i,SV783: $i,SV365: $i] :
( ( ( c_List_Olist_OCons @ SV365 @ ( c_List_Oappend @ SV783 @ SV1120 @ SV1313 ) @ SV1313 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV365 @ SV783 @ SV1313 ) @ SV1120 @ SV1313 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2595]) ).
thf(2932,plain,
! [SV1314: $i,SV1121: $i,SV784: $i,SV366: $i] :
( ( ( c_List_Olist_OCons @ SV366 @ ( c_List_Oappend @ SV784 @ SV1121 @ SV1314 ) @ SV1314 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV366 @ SV784 @ SV1314 ) @ SV1121 @ SV1314 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2596]) ).
thf(2933,plain,
! [SV369: $i,SV786: $i] :
( ( ( class_Orderings_Opreorder @ SV786 )
= $false )
| ( ( class_Orderings_Opreorder @ ( tc_fun @ SV369 @ SV786 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2598]) ).
thf(2934,plain,
! [SV370: $i,SV787: $i] :
( ( ( class_Orderings_Oorder @ SV787 )
= $false )
| ( ( class_Orderings_Oorder @ ( tc_fun @ SV370 @ SV787 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2599]) ).
thf(2935,plain,
! [SV371: $i,SV788: $i] :
( ( ( class_HOL_Oord @ SV788 )
= $false )
| ( ( class_HOL_Oord @ ( tc_fun @ SV371 @ SV788 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2600]) ).
thf(2936,plain,
! [SV1123: $i,SV790: $i,SV373: $i] :
( ( ( SV373 = SV790 )
= $true )
| ( ( ~ ( c_fequal @ SV373 @ SV790 @ SV1123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2601]) ).
thf(2937,plain,
! [SV1315: $i,SV1124: $i,SV791: $i,SV374: $i] :
( ( ( ( c_List_Oappend @ SV374 @ SV791 @ SV1124 )
!= ( c_List_Oappend @ SV374 @ SV1315 @ SV1124 ) )
| ( SV791 = SV1315 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2602]) ).
thf(2938,plain,
! [SV1316: $i,SV1125: $i,SV792: $i,SV375: $i] :
( ( ( c_Event_Oevent_ONotes @ SV375 @ SV792 )
!= ( c_Event_Oevent_OGets @ SV1125 @ SV1316 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2603]) ).
thf(2939,plain,
! [SV1126: $i,SV793: $i,SV376: $i] :
( ( ( ( c_List_Olist_ONil @ SV376 )
!= ( c_List_Oappend @ SV793 @ SV1126 @ SV376 ) )
= $true )
| ( ( SV793
= ( c_List_Olist_ONil @ SV376 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2604]) ).
thf(2940,plain,
! [SV1127: $i,SV794: $i,SV377: $i] :
( ( ( ( c_List_Orev @ SV377 @ SV794 )
!= ( c_List_Orev @ SV1127 @ SV794 ) )
= $true )
| ( ( SV377 = SV1127 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2605]) ).
thf(2941,plain,
! [SV1317: $i,SV1128: $i,SV795: $i,SV378: $i] :
( ( ! [SY3211: $i] :
( ( ( c_List_Olist_OCons @ SV378 @ SV795 @ SV1128 )
!= ( c_List_Olist_OCons @ SV1317 @ SY3211 @ SV1128 ) )
| ( SV795 = SY3211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2606]) ).
thf(2942,plain,
! [SV1318: $i,SV1129: $i,SV796: $i,SV379: $i] :
( ( ! [SY3212: $i] :
( ( c_Event_Oevent_OSays @ SV379 @ SV796 @ SV1129 )
!= ( c_Event_Oevent_OGets @ SV1318 @ SY3212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2607]) ).
thf(2943,plain,
! [SV1319: $i,SV1130: $i,SV797: $i,SV380: $i] :
( ( ! [SY3213: $i] :
( ( ( c_List_Ofilter @ SV380 @ SV797 @ SV1130 )
!= ( c_List_Olist_OCons @ SV1319 @ SY3213 @ SV1130 ) )
| ( hBOOL @ ( hAPP @ SV380 @ SV1319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2608]) ).
thf(2944,plain,
! [SV1320: $i,SV1131: $i,SV798: $i,SV381: $i] :
( ( ( ( c_List_Ofilter @ SV381 @ SV798 @ SV1131 )
!= SV798 )
| ( hBOOL @ ( hAPP @ SV381 @ SV1320 ) )
| ~ ( c_in @ SV1320 @ ( c_List_Oset @ SV798 @ SV1131 ) @ SV1131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2609]) ).
thf(2945,plain,
! [SV1132: $i,SV799: $i,SV382: $i] :
( ( ( ( c_List_Oappend @ SV382 @ SV799 @ SV1132 )
!= ( c_List_Olist_ONil @ SV1132 ) )
= $true )
| ( ( SV799
= ( c_List_Olist_ONil @ SV1132 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2610]) ).
thf(2946,plain,
! [SV800: $i,SV383: $i] :
( ( ( ( c_List_Olist_ONil @ SV383 )
= ( c_List_Orev @ SV800 @ SV383 ) )
= $false )
| ( ( SV800
= ( c_List_Olist_ONil @ SV383 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2611]) ).
thf(2947,plain,
! [SV1321: $i,SV1133: $i,SV801: $i,SV384: $i] :
( ( ! [SY3214: $i] :
( ( ( c_List_Olist_OCons @ SV384 @ SV801 @ SV1133 )
!= ( c_List_Ofilter @ SV1321 @ SY3214 @ SV1133 ) )
| ( hBOOL @ ( hAPP @ SV1321 @ SV384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2612]) ).
thf(2948,plain,
! [SV1322: $i,SV1134: $i,SV802: $i,SV385: $i] :
( ( ( c_Event_Oevent_OGets @ SV385 @ SV802 )
!= ( c_Event_Oevent_ONotes @ SV1134 @ SV1322 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2613]) ).
thf(2949,plain,
! [SV1135: $i,SV803: $i,SV386: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV386 ) )
= $true )
| ( ( ( ( c_List_Oset @ SV803 @ SV386 )
!= ( c_List_Oset @ SV1135 @ SV386 ) )
| ~ ( c_List_Odistinct @ SV1135 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
| ~ ( c_List_Odistinct @ SV803 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2614]) ).
thf(2950,plain,
! [SV1323: $i,SV1136: $i,SV804: $i,SV387: $i] :
( ( ! [SY3215: $i] :
( ( c_Event_Oevent_ONotes @ SV387 @ SV804 )
!= ( c_Event_Oevent_OSays @ SV1136 @ SV1323 @ SY3215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2615]) ).
thf(2951,plain,
! [SV1324: $i,SV1137: $i,SV805: $i,SV388: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV388 @ SV805 )
!= ( c_Message_Omsg_OCrypt @ SV1137 @ SV1324 ) )
| ( SV388 = SV1137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2616]) ).
thf(2952,plain,
! [SV1325: $i,SV1138: $i,SV806: $i,SV389: $i] :
( ( ! [SY3216: $i] :
( ( c_Event_Oevent_OGets @ SV389 @ SV806 )
!= ( c_Event_Oevent_OSays @ SV1138 @ SV1325 @ SY3216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2617]) ).
thf(2953,plain,
! [SV807: $i,SV390: $i] :
( ( ( ( c_Public_OshrK @ SV390 )
= ( c_Public_OshrK @ SV807 ) )
= $false )
| ( ( SV390 = SV807 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2618]) ).
thf(2954,plain,
! [SV1326: $i,SV1139: $i,SV808: $i,SV391: $i] :
( ( ! [SY3217: $i] :
( ( ( c_List_Olist_OCons @ SV391 @ SV808 @ SV1139 )
!= ( c_List_Oappend @ SV1326 @ SY3217 @ SV1139 ) )
| ( SV808
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV391 @ SV808 @ SV1326 @ SY3217 @ SV1139 ) @ SY3217 @ SV1139 ) )
| ( SV1326
= ( c_List_Olist_ONil @ SV1139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2619]) ).
thf(2955,plain,
! [SV1327: $i,SV1140: $i,SV809: $i,SV392: $i] :
( ( ! [SY3218: $i] :
( ( ( c_List_Oappend @ SV392 @ ( c_List_Olist_OCons @ SV809 @ ( c_List_Olist_ONil @ SV1140 ) @ SV1140 ) @ SV1140 )
!= ( c_List_Oappend @ SV1327 @ ( c_List_Olist_OCons @ SY3218 @ ( c_List_Olist_ONil @ SV1140 ) @ SV1140 ) @ SV1140 ) )
| ( SV809 = SY3218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2620]) ).
thf(2956,plain,
! [SV1328: $i,SV1141: $i,SV810: $i,SV393: $i] :
( ( ! [SY3219: $i,SY3220: $i] :
( ( ( c_Event_Oevent_OSays @ SV393 @ SV810 @ SV1141 )
!= ( c_Event_Oevent_OSays @ SV1328 @ SY3219 @ SY3220 ) )
| ( SV1141 = SY3220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2621]) ).
thf(2957,plain,
! [SV1329: $i,SV1142: $i,SV811: $i,SV394: $i] :
( ( ! [SY3221: $i] :
( ( ( c_List_Oappend @ SV394 @ SV811 @ SV1142 )
!= ( c_List_Olist_OCons @ SV1329 @ SY3221 @ SV1142 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1329 @ SY3221 @ SV394 @ SV811 @ SV1142 ) @ SV811 @ SV1142 )
= SY3221 )
| ( SV811
= ( c_List_Olist_OCons @ SV1329 @ SY3221 @ SV1142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2622]) ).
thf(2958,plain,
! [SV1330: $i,SV1143: $i,SV812: $i,SV395: $i] :
( ( ( ( c_List_Olist__update @ SV395 @ SV812 @ SV1143 @ SV1330 )
!= ( c_List_Olist_ONil @ SV1330 ) )
| ( SV395
= ( c_List_Olist_ONil @ SV1330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2623]) ).
thf(2959,plain,
! [SV1331: $i,SV1144: $i,SV813: $i,SV396: $i] :
( ( ! [SY3222: $i] :
( ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
!= ( c_List_Oappend @ SV1331 @ SY3222 @ SV1144 ) )
| ( ( c_List_Olist_OCons @ SV396 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV396 @ SV813 @ SV1331 @ SY3222 @ SV1144 ) @ SV1144 )
= SV1331 )
| ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
= SY3222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2624]) ).
thf(2960,plain,
! [SV1145: $i,SV814: $i,SV397: $i] :
( ( ( SV397
!= ( c_List_Oappend @ SV397 @ SV814 @ SV1145 ) )
= $true )
| ( ( SV814
= ( c_List_Olist_ONil @ SV1145 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2625]) ).
thf(2961,plain,
! [SV1332: $i,SV1146: $i,SV815: $i,SV398: $i] :
( ( ( ( c_List_Ofilter @ SV398 @ SV815 @ SV1146 )
!= ( c_List_Olist_ONil @ SV1146 ) )
| ~ ( hBOOL @ ( hAPP @ SV398 @ SV1332 ) )
| ~ ( c_in @ SV1332 @ ( c_List_Oset @ SV815 @ SV1146 ) @ SV1146 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2626]) ).
thf(2962,plain,
! [SV1333: $i,SV1147: $i,SV816: $i,SV399: $i] :
( ( ! [SY3223: $i] :
( ( ( c_List_Oreplicate @ SV399 @ SV816 @ SV1147 )
!= ( c_List_Oreplicate @ SV1333 @ SY3223 @ SV1147 ) )
| ( SV399 = SV1333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2627]) ).
thf(2963,plain,
! [SV1334: $i,SV1148: $i,SV817: $i,SV400: $i] :
( ( ! [SY3224: $i] :
( ( ( c_List_Olist_OCons @ SV400 @ SV817 @ SV1148 )
!= ( c_List_Oappend @ SV1334 @ SY3224 @ SV1148 ) )
| ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV400 @ SV817 @ SV1334 @ SY3224 @ SV1148 ) @ SV1148 )
= SV1334 )
| ( SV1334
= ( c_List_Olist_ONil @ SV1148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2628]) ).
thf(2964,plain,
! [SV1335: $i,SV1149: $i,SV818: $i,SV401: $i] :
( ( ! [SY3225: $i] :
( ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
!= ( c_List_Oappend @ SV1335 @ SY3225 @ SV1149 ) )
| ( SV818
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV401 @ SV818 @ SV1335 @ SY3225 @ SV1149 ) @ SY3225 @ SV1149 ) )
| ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
= SY3225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2629]) ).
thf(2965,plain,
! [SV1336: $i,SV1150: $i,SV819: $i,SV402: $i] :
( ( ! [SY3226: $i] :
( ( c_Event_Oevent_OSays @ SV402 @ SV819 @ SV1150 )
!= ( c_Event_Oevent_ONotes @ SV1336 @ SY3226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(2966,plain,
! [SV1151: $i,SV820: $i,SV403: $i] :
( ( ( ( c_List_Olist_OCons @ SV403 @ ( c_List_Olist_ONil @ SV820 ) @ SV820 )
!= ( c_List_Orev @ SV1151 @ SV820 ) )
= $true )
| ( ( SV1151
= ( c_List_Olist_OCons @ SV403 @ ( c_List_Olist_ONil @ SV820 ) @ SV820 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2631]) ).
thf(2967,plain,
! [SV1337: $i,SV1152: $i,SV821: $i,SV404: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV404 @ SV821 )
!= ( c_Event_Oevent_ONotes @ SV1152 @ SV1337 ) )
| ( SV404 = SV1152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2632]) ).
thf(2968,plain,
! [SV1338: $i,SV1153: $i,SV822: $i,SV405: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV405 @ SV822 )
!= ( c_Event_Oevent_OGets @ SV1153 @ SV1338 ) )
| ( SV405 = SV1153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2633]) ).
thf(2969,plain,
! [SV1339: $i,SV1154: $i,SV823: $i,SV406: $i] :
( ( ! [SY3227: $i,SY3228: $i] :
( ( ( c_Event_Oevent_OSays @ SV406 @ SV823 @ SV1154 )
!= ( c_Event_Oevent_OSays @ SV1339 @ SY3227 @ SY3228 ) )
| ( SV823 = SY3227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2634]) ).
thf(2970,plain,
! [SV824: $i,SV407: $i] :
( ( ( ( c_List_Orotate1 @ SV407 @ SV824 )
= ( c_List_Olist_ONil @ SV824 ) )
= $false )
| ( ( SV407
= ( c_List_Olist_ONil @ SV824 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2635]) ).
thf(2971,plain,
! [SV825: $i,SV408: $i] :
( ( ( ( c_List_Orev @ SV408 @ SV825 )
= ( c_List_Olist_ONil @ SV825 ) )
= $false )
| ( ( SV408
= ( c_List_Olist_ONil @ SV825 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2636]) ).
thf(2972,plain,
! [SV1340: $i,SV1155: $i,SV826: $i,SV409: $i] :
( ( ! [SY3229: $i,SY3230: $i] :
( ( ( c_Event_Oevent_OSays @ SV409 @ SV826 @ SV1155 )
!= ( c_Event_Oevent_OSays @ SV1340 @ SY3229 @ SY3230 ) )
| ( SV409 = SV1340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2637]) ).
thf(2973,plain,
! [SV1341: $i,SV1156: $i,SV827: $i,SV410: $i] :
( ( ! [SY3231: $i] :
( ( ( c_List_OdropWhile @ SV410 @ SV827 @ SV1156 )
!= ( c_List_Olist_OCons @ SV1341 @ SY3231 @ SV1156 ) )
| ~ ( hBOOL @ ( hAPP @ SV410 @ SV1341 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2638]) ).
thf(2974,plain,
! [SV1342: $i,SV1157: $i,SV828: $i,SV411: $i] :
( ( ( ( c_List_Oappend @ SV411 @ SV828 @ SV1157 )
!= ( c_List_Oappend @ SV1342 @ SV828 @ SV1157 ) )
| ( SV411 = SV1342 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2639]) ).
thf(2975,plain,
! [SV1158: $i,SV829: $i,SV412: $i] :
( ( SV412
= ( c_List_Olist_OCons @ SV829 @ SV412 @ SV1158 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2640]) ).
thf(2976,plain,
! [SV1159: $i,SV830: $i,SV413: $i] :
( ( ( c_List_Olist_OCons @ SV413 @ SV830 @ SV1159 )
= ( c_List_Olist_ONil @ SV1159 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2641]) ).
thf(2977,plain,
! [SV1160: $i,SV831: $i,SV414: $i] :
( ( ( ( c_List_Oappend @ SV414 @ SV831 @ SV1160 )
!= SV831 )
= $true )
| ( ( SV414
= ( c_List_Olist_ONil @ SV1160 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2642]) ).
thf(2978,plain,
! [SV1343: $i,SV1161: $i,SV832: $i,SV415: $i] :
( ( ( ( c_List_OtakeWhile @ SV415 @ SV832 @ SV1161 )
!= SV832 )
| ( hBOOL @ ( hAPP @ SV415 @ SV1343 ) )
| ~ ( c_in @ SV1343 @ ( c_List_Oset @ SV832 @ SV1161 ) @ SV1161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2643]) ).
thf(2979,plain,
! [SV1344: $i,SV1162: $i,SV833: $i,SV416: $i] :
( ( ( ( c_List_Orev @ SV416 @ SV833 )
!= ( c_List_Olist_OCons @ SV1162 @ SV1344 @ SV833 ) )
| ( SV416
= ( c_List_Oappend @ ( c_List_Orev @ SV1344 @ SV833 ) @ ( c_List_Olist_OCons @ SV1162 @ ( c_List_Olist_ONil @ SV833 ) @ SV833 ) @ SV833 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2644]) ).
thf(2980,plain,
! [SV1163: $i,SV834: $i,SV417: $i] :
( ( ( c_List_Olist_ONil @ SV417 )
= ( c_List_Olist_OCons @ SV834 @ SV1163 @ SV417 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2645]) ).
thf(2981,plain,
! [SV835: $i,SV418: $i] :
( ( ( ( c_List_Oremdups @ SV418 @ SV835 )
= SV418 )
= $false )
| ( ( c_List_Odistinct @ SV418 @ SV835 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2646]) ).
thf(2982,plain,
! [SV1164: $i,SV836: $i,SV419: $i] :
( ( ( ( c_Message_Oanalz @ SV419 )
!= ( c_Message_Oanalz @ SV836 ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1164 @ SV419 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1164 @ SV836 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2647]) ).
thf(2983,plain,
! [SV1345: $i,SV1165: $i,SV837: $i,SV420: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV420 @ SV837 )
!= ( c_Event_Oevent_ONotes @ SV1165 @ SV1345 ) )
| ( SV837 = SV1345 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2648]) ).
thf(2984,plain,
! [SV1166: $i,SV838: $i,SV421: $i] :
( ( ( SV421
!= ( c_List_Oappend @ SV838 @ SV421 @ SV1166 ) )
= $true )
| ( ( SV838
= ( c_List_Olist_ONil @ SV1166 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2649]) ).
thf(2985,plain,
! [SV1346: $i,SV1167: $i,SV839: $i,SV422: $i] :
( ( ( ( c_Set_Oinsert @ SV422 @ SV839 @ SV1167 )
!= ( c_Set_Oinsert @ SV422 @ SV1346 @ SV1167 ) )
| ( c_in @ SV422 @ SV1346 @ SV1167 )
| ( c_in @ SV422 @ SV839 @ SV1167 )
| ( SV839 = SV1346 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2650]) ).
thf(2986,plain,
! [SV1347: $i,SV1168: $i,SV840: $i,SV423: $i] :
( ( ! [SY3232: $i] :
( ( SV423
!= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV840 @ SV423 @ SV1168 ) @ ( c_List_Olist_OCons @ SV1347 @ SY3232 @ SV1168 ) @ SV1168 ) )
| ( ( c_List_OdropWhile @ SV840 @ SV423 @ SV1168 )
= ( c_List_Olist_OCons @ SV1347 @ SY3232 @ SV1168 ) )
| ( hBOOL @ ( hAPP @ SV840 @ SV1347 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2651]) ).
thf(2987,plain,
! [SV1169: $i,SV841: $i,SV424: $i] :
( ( ( ( c_List_Oappend @ SV424 @ SV841 @ SV1169 )
!= ( c_List_Olist_ONil @ SV1169 ) )
= $true )
| ( ( SV424
= ( c_List_Olist_ONil @ SV1169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2652]) ).
thf(2988,plain,
! [SV842: $i,SV425: $i] :
( ( ( ( c_List_Oremdups @ SV425 @ SV842 )
= ( c_List_Olist_ONil @ SV842 ) )
= $false )
| ( ( SV425
= ( c_List_Olist_ONil @ SV842 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2653]) ).
thf(2989,plain,
! [SV1348: $i,SV1170: $i,SV843: $i,SV426: $i] :
( ( ! [SY3233: $i] :
( ( ( c_List_Oappend @ SV426 @ ( c_List_Olist_OCons @ SV843 @ ( c_List_Olist_ONil @ SV1170 ) @ SV1170 ) @ SV1170 )
!= ( c_List_Oappend @ SV1348 @ ( c_List_Olist_OCons @ SY3233 @ ( c_List_Olist_ONil @ SV1170 ) @ SV1170 ) @ SV1170 ) )
| ( SV426 = SV1348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2654]) ).
thf(2990,plain,
! [SV1349: $i,SV1171: $i,SV844: $i,SV427: $i] :
( ( ! [SY3234: $i] :
( ( ( c_List_Olist_OCons @ SV427 @ SV844 @ SV1171 )
!= ( c_List_Olist_OCons @ SV1349 @ SY3234 @ SV1171 ) )
| ( SV427 = SV1349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2655]) ).
thf(2991,plain,
! [SV1172: $i,SV845: $i,SV428: $i] :
( ( ( ( c_List_Olist_ONil @ SV428 )
!= ( c_List_Oappend @ SV845 @ SV1172 @ SV428 ) )
= $true )
| ( ( SV1172
= ( c_List_Olist_ONil @ SV428 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2656]) ).
thf(2992,plain,
! [SV1350: $i,SV1173: $i,SV846: $i,SV429: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV429 @ SV846 )
!= ( c_Message_Omsg_OCrypt @ SV1173 @ SV1350 ) )
| ( SV846 = SV1350 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2657]) ).
thf(2993,plain,
! [SV1351: $i,SV1174: $i,SV847: $i,SV430: $i] :
( ( ! [SY3235: $i] :
( ( ( c_List_Oappend @ SV430 @ SV847 @ SV1174 )
!= ( c_List_Olist_OCons @ SV1351 @ SY3235 @ SV1174 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1351 @ SY3235 @ SV430 @ SV847 @ SV1174 ) @ SV847 @ SV1174 )
= SY3235 )
| ( SV430
= ( c_List_Olist_ONil @ SV1174 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2658]) ).
thf(2994,plain,
! [SV1352: $i,SV1175: $i,SV848: $i,SV431: $i] :
( ( ! [SY3236: $i] :
( ( ( c_List_OdropWhile @ SV431 @ SV848 @ SV1175 )
!= ( c_List_Olist_OCons @ SV1352 @ SY3236 @ SV1175 ) )
| ( SV848
= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV431 @ SV848 @ SV1175 ) @ ( c_List_Olist_OCons @ SV1352 @ SY3236 @ SV1175 ) @ SV1175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2659]) ).
thf(2995,plain,
! [SV1176: $i,SV849: $i,SV432: $i] :
( ( ( ( c_List_Orev @ SV432 @ SV849 )
!= ( c_List_Olist_OCons @ SV1176 @ ( c_List_Olist_ONil @ SV849 ) @ SV849 ) )
= $true )
| ( ( SV432
= ( c_List_Olist_OCons @ SV1176 @ ( c_List_Olist_ONil @ SV849 ) @ SV849 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2660]) ).
thf(2996,plain,
! [SV1177: $i,SV850: $i,SV433: $i] :
( ( ( c_List_Olist_OCons @ SV433 @ SV850 @ SV1177 )
= ( c_List_Olist_ONil @ SV1177 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2661]) ).
thf(2997,plain,
! [SV1353: $i,SV1178: $i,SV851: $i,SV434: $i] :
( ( ( ( c_List_OdropWhile @ SV434 @ SV851 @ SV1178 )
!= ( c_List_Olist_ONil @ SV1178 ) )
| ( hBOOL @ ( hAPP @ SV434 @ SV1353 ) )
| ~ ( c_in @ SV1353 @ ( c_List_Oset @ SV851 @ SV1178 ) @ SV1178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2662]) ).
thf(2998,plain,
! [SV852: $i,SV435: $i] :
( ( ( ( c_List_Olist_ONil @ SV435 )
= ( c_List_Oremdups @ SV852 @ SV435 ) )
= $false )
| ( ( SV852
= ( c_List_Olist_ONil @ SV435 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2663]) ).
thf(2999,plain,
! [SV1354: $i,SV1179: $i,SV853: $i,SV436: $i] :
( ( ! [SY3237: $i] :
( ( ( c_List_Oappend @ SV436 @ SV853 @ SV1179 )
!= ( c_List_Olist_OCons @ SV1354 @ SY3237 @ SV1179 ) )
| ( SV436
= ( c_List_Olist_OCons @ SV1354 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1354 @ SY3237 @ SV436 @ SV853 @ SV1179 ) @ SV1179 ) )
| ( SV853
= ( c_List_Olist_OCons @ SV1354 @ SY3237 @ SV1179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2664]) ).
thf(3000,plain,
! [SV1180: $i,SV854: $i,SV437: $i] :
( ( ( ( c_List_Oappend @ SV437 @ SV854 @ SV1180 )
!= SV437 )
= $true )
| ( ( SV854
= ( c_List_Olist_ONil @ SV1180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2665]) ).
thf(3001,plain,
! [SV1181: $i,SV855: $i,SV438: $i] :
( ( ( c_List_Olist_OCons @ SV438 @ SV855 @ SV1181 )
= SV855 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2666]) ).
thf(3002,plain,
! [SV1355: $i,SV1182: $i,SV856: $i,SV439: $i] :
( ( ! [SY3238: $i] :
( ( ( c_List_Oappend @ SV439 @ SV856 @ SV1182 )
!= ( c_List_Olist_OCons @ SV1355 @ SY3238 @ SV1182 ) )
| ( SV439
= ( c_List_Olist_OCons @ SV1355 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1355 @ SY3238 @ SV439 @ SV856 @ SV1182 ) @ SV1182 ) )
| ( SV439
= ( c_List_Olist_ONil @ SV1182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2667]) ).
thf(3003,plain,
! [SV1356: $i,SV1183: $i,SV857: $i,SV440: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV440 @ SV857 )
!= ( c_Event_Oevent_OGets @ SV1183 @ SV1356 ) )
| ( SV857 = SV1356 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2668]) ).
thf(3004,plain,
! [SV441: $i,SV858: $i,SV1: $i] :
( ( ( c_in @ SV1 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV858 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV1 @ ( c_Event_Oused @ SV441 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2669]) ).
thf(3005,plain,
! [SV448: $i,SV8: $i,SV861: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV861 @ SV8 ) @ ( c_Message_Oparts @ SV448 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV8 @ ( c_Message_Oparts @ SV448 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2675]) ).
thf(3006,plain,
! [SV454: $i,SV862: $i,SV18: $i] :
( ( ( c_in @ SV18 @ ( c_Message_Oparts @ SV862 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV18 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV454 @ SV862 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2681]) ).
thf(3007,plain,
! [SV19: $i,SV455: $i,SV863: $i] :
( ( ( ~ ( c_lessequals @ SV863 @ ( c_Message_Oparts @ SV455 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_in @ SV19 @ ( c_Message_Oparts @ SV863 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV19 @ ( c_Message_Oparts @ SV455 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2682]) ).
thf(3008,plain,
! [SV463: $i,SV30: $i,SV864: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV864 @ SV30 ) @ SV463 @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV864 @ SV30 ) @ ( c_Message_Osynth @ SV463 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV30 @ ( c_Message_Osynth @ SV463 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2689]) ).
thf(3009,plain,
! [SV1184: $i,SV865: $i,SV464: $i,SV31: $i] :
( ( ( ( c_List_OtakeWhile @ SV31 @ SV464 @ SV865 )
= ( c_List_OtakeWhile @ SV1184 @ SV464 @ SV865 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1184 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SV1184 @ SV464 @ SV865 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV31 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SV1184 @ SV464 @ SV865 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2690]) ).
thf(3010,plain,
! [SV1185: $i,SV866: $i,SV465: $i,SV32: $i] :
( ( ( ( c_List_OtakeWhile @ SV32 @ SV465 @ SV866 )
= ( c_List_OtakeWhile @ SV1185 @ SV465 @ SV866 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV1185 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SV1185 @ SV465 @ SV866 ) ) )
| ( hBOOL @ ( hAPP @ SV32 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SV1185 @ SV465 @ SV866 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2691]) ).
thf(3011,plain,
! [SV1357: $i,SV1186: $i,SV867: $i,SV466: $i,SV33: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV33 )
| ( c_List_Odistinct @ SV466 @ SV867 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1186 @ SV1357 @ SV466 @ SV867 @ SV33 ) @ SV867 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2692]) ).
thf(3012,plain,
! [SV34: $i,SV868: $i,SV467: $i] :
( ( ( c_List_Odistinct @ SV467 @ SV868 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_OtakeWhile @ SV34 @ SV467 @ SV868 ) @ SV868 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2693]) ).
thf(3013,plain,
! [SV1187: $i,SV869: $i,SV468: $i,SV35: $i] :
( ( ( ( c_List_Ofilter @ SV35 @ ( c_List_Olist_OCons @ SV468 @ SV869 @ SV1187 ) @ SV1187 )
= ( c_List_Ofilter @ SV35 @ SV869 @ SV1187 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV35 @ SV468 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2694]) ).
thf(3014,plain,
! [SV1188: $i,SV870: $i,SV469: $i,SV36: $i] :
( ( ( ( c_List_OdropWhile @ SV36 @ ( c_List_Olist_OCons @ SV469 @ SV870 @ SV1188 ) @ SV1188 )
= ( c_List_Olist_OCons @ SV469 @ SV870 @ SV1188 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV36 @ SV469 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2695]) ).
thf(3015,plain,
! [SV1189: $i,SV871: $i,SV470: $i,SV37: $i] :
( ( ( ( c_List_OdropWhile @ SV37 @ ( c_List_Olist_OCons @ SV470 @ SV871 @ SV1189 ) @ SV1189 )
= ( c_List_OdropWhile @ SV37 @ SV871 @ SV1189 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV37 @ SV470 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2696]) ).
thf(3016,plain,
! [SV1190: $i,SV872: $i,SV471: $i,SV38: $i] :
( ( ( ( c_List_Oremove1 @ SV38 @ ( c_List_Olist_OCons @ SV471 @ SV872 @ SV1190 ) @ SV1190 )
= ( c_List_Olist_OCons @ SV471 @ ( c_List_Oremove1 @ SV38 @ SV872 @ SV1190 ) @ SV1190 ) )
= $true )
| ( ( SV38 = SV471 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2697]) ).
thf(3017,plain,
! [SV1191: $i,SV873: $i,SV472: $i,SV39: $i] :
( ( ( ( c_List_Ofilter @ SV39 @ ( c_List_Olist_OCons @ SV472 @ SV873 @ SV1191 ) @ SV1191 )
= ( c_List_Olist_OCons @ SV472 @ ( c_List_Ofilter @ SV39 @ SV873 @ SV1191 ) @ SV1191 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV39 @ SV472 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2698]) ).
thf(3018,plain,
! [SV474: $i,SV41: $i,SV875: $i] :
( ( ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV875 @ SV41 @ SV474 ) @ SV474 )
= $false )
| ( ( c_List_Odistinct @ SV41 @ SV474 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2699]) ).
thf(3019,plain,
! [SV482: $i,SV52: $i,SV879: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oappend @ SV879 @ SV52 @ SV482 ) @ SV482 )
= $false )
| ( ( c_List_Odistinct @ SV52 @ SV482 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2700]) ).
thf(3020,plain,
! [SV483: $i,SV880: $i,SV53: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oappend @ SV53 @ SV880 @ SV483 ) @ SV483 )
= $false )
| ( ( c_List_Odistinct @ SV53 @ SV483 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2701]) ).
thf(3021,plain,
! [SV485: $i,SV55: $i,SV882: $i] :
( ( ( ~ ( c_in @ SV882 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV882 ) @ SV55 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV55 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2703]) ).
thf(3022,plain,
! [SV1193: $i,SV883: $i,SV486: $i,SV56: $i] :
( ( ( c_in @ SV56 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV486 ) ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV883 @ SV1193 @ SV56 ) @ ( c_List_Oset @ SV486 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2704]) ).
thf(3023,plain,
! [SV57: $i,SV884: $i,SV487: $i] :
( ( ( c_List_Odistinct @ SV487 @ SV884 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Ofilter @ SV57 @ SV487 @ SV884 ) @ SV884 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2705]) ).
thf(3024,plain,
! [SV885: $i,SV493: $i,SV63: $i] :
( ( ( class_Orderings_Opreorder @ SV63 )
= $false )
| ( ( ~ ( c_lessequals @ SV493 @ SV885 @ SV63 )
| ~ ( c_HOL_Oord__class_Oless @ SV885 @ SV493 @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2710]) ).
thf(3025,plain,
! [SV1194: $i,SV886: $i,SV494: $i,SV64: $i] :
( ( ( ~ ( class_HOL_Oord @ SV64 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV494 @ SV886 @ ( tc_fun @ SV1194 @ SV64 ) )
| ~ ( c_HOL_Oord__class_Oless @ SV886 @ SV494 @ ( tc_fun @ SV1194 @ SV64 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2711]) ).
thf(3026,plain,
! [SV887: $i,SV495: $i,SV65: $i] :
( ( ( class_Orderings_Olinorder @ SV65 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV495 @ SV887 @ SV65 )
| ( c_lessequals @ SV887 @ SV495 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2712]) ).
thf(3027,plain,
! [SV888: $i,SV496: $i,SV66: $i] :
( ( ( class_Orderings_Olinorder @ SV66 )
= $false )
| ( ( ~ ( c_lessequals @ SV496 @ SV888 @ SV66 )
| ~ ( c_HOL_Oord__class_Oless @ SV888 @ SV496 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2713]) ).
thf(3028,plain,
! [SV889: $i,SV497: $i,SV67: $i] :
( ( ( class_Orderings_Olinorder @ SV67 )
= $false )
| ( ( ( c_lessequals @ SV497 @ SV889 @ SV67 )
| ( c_HOL_Oord__class_Oless @ SV889 @ SV497 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2714]) ).
thf(3029,plain,
! [SV890: $i,SV498: $i,SV68: $i] :
( ( ( class_Orderings_Olinorder @ SV68 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV498 @ SV890 @ SV68 )
| ~ ( c_lessequals @ SV890 @ SV498 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2715]) ).
thf(3030,plain,
! [SV69: $i,SV499: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV499 @ SV499 @ SV69 )
= $true )
| ( ( c_lessequals @ SV499 @ SV499 @ SV69 )
= $true )
| ( ( class_Orderings_Olinorder @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2716]) ).
thf(3031,plain,
! [SV70: $i,SV500: $i] :
( ( ( ~ ( c_lessequals @ SV500 @ SV500 @ SV70 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV500 @ SV500 @ SV70 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2717]) ).
thf(3032,plain,
! [SV891: $i,SV501: $i,SV71: $i] :
( ( ( class_Orderings_Olinorder @ SV71 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV501 @ SV891 @ SV71 )
| ( c_lessequals @ SV891 @ SV501 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2718]) ).
thf(3033,plain,
! [SV1195: $i,SV893: $i,SV503: $i,SV73: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV73 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV503 @ SV893 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SV503 @ SV1195 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SV1195 @ SV893 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2719]) ).
thf(3034,plain,
! [SV1196: $i,SV894: $i,SV504: $i,SV74: $i] :
( ( ( c_in @ SV74 @ SV504 @ SV894 )
= $true )
| ( ( ~ ( c_in @ SV74 @ SV1196 @ SV894 )
| ~ ( c_HOL_Oord__class_Oless @ SV1196 @ SV504 @ ( tc_fun @ SV894 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2720]) ).
thf(3035,plain,
! [SV1197: $i,SV895: $i,SV505: $i,SV75: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV75 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV1197 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV75 @ SV1197 @ ( tc_fun @ SV895 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2721]) ).
thf(3036,plain,
! [SV1198: $i,SV896: $i,SV506: $i,SV76: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV76 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV506 @ SV896 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SV1198 @ SV896 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SV506 @ SV1198 @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2722]) ).
thf(3037,plain,
! [SV1199: $i,SV897: $i,SV507: $i,SV77: $i] :
( ( ( c_in @ SV77 @ ( c_Event_Oused @ SV507 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV897 @ SV1199 @ SV77 ) @ ( c_List_Oset @ SV507 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2723]) ).
thf(3038,plain,
! [SV79: $i,SV898: $i,SV509: $i] :
( ( ( c_List_Odistinct @ SV509 @ SV898 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV79 @ SV509 @ SV898 ) @ SV898 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2725]) ).
thf(3039,plain,
! [SV1200: $i,SV899: $i,SV510: $i,SV80: $i] :
( ( ( ( c_List_Ofilter @ SV80 @ ( c_List_Oreplicate @ SV510 @ SV899 @ SV1200 ) @ SV1200 )
= ( c_List_Oreplicate @ SV510 @ SV899 @ SV1200 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV80 @ SV899 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2726]) ).
thf(3040,plain,
! [SV81: $i,SV900: $i,SV511: $i] :
( ( ( c_List_Odistinct @ SV511 @ SV900 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV81 @ SV511 @ SV900 ) @ SV900 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2727]) ).
thf(3041,plain,
! [SV512: $i,SV82: $i,SV901: $i] :
( ( ( ~ ( c_in @ SV901 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_ONotes @ SV901 @ SV82 ) @ ( c_List_Oset @ SV512 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV82 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV512 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2728]) ).
thf(3042,plain,
! [SV902: $i,SV513: $i,SV83: $i] :
( ( ( class_Orderings_Opreorder @ SV83 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV513 @ SV902 @ SV83 )
| ( c_lessequals @ SV902 @ SV513 @ SV83 )
| ~ ( c_lessequals @ SV513 @ SV902 @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2729]) ).
thf(3043,plain,
! [SV1201: $i,SV903: $i,SV515: $i,SV85: $i] :
( ( ( ~ ( class_HOL_Oord @ SV85 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) )
| ( c_lessequals @ SV903 @ SV515 @ ( tc_fun @ SV1201 @ SV85 ) )
| ~ ( c_lessequals @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2730]) ).
thf(3044,plain,
! [SV86: $i,SV516: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV516 @ SV516 @ SV86 )
= $false )
| ( ( class_Orderings_Oorder @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2731]) ).
thf(3045,plain,
! [SV87: $i,SV517: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV517 @ SV517 @ SV87 )
= $false )
| ( ( class_Orderings_Olinorder @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2732]) ).
thf(3046,plain,
! [SV88: $i,SV518: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV518 @ SV518 @ SV88 )
= $false )
| ( ( class_Orderings_Opreorder @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2733]) ).
thf(3047,plain,
! [SV904: $i,SV519: $i,SV89: $i] :
( ( ( class_Ring__and__Field_Oordered__idom @ SV89 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV519 @ SV904 @ SV89 )
| ( c_HOL_Oord__class_Oless @ SV904 @ SV519 @ SV89 )
| ( SV904 = SV519 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2734]) ).
thf(3048,plain,
! [SV905: $i,SV520: $i,SV90: $i] :
( ( ( class_Orderings_Olinorder @ SV90 )
= $false )
| ( ( ( SV520 = SV905 )
| ( c_HOL_Oord__class_Oless @ SV905 @ SV520 @ SV90 )
| ( c_HOL_Oord__class_Oless @ SV520 @ SV905 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2735]) ).
thf(3049,plain,
! [SV906: $i,SV521: $i,SV91: $i] :
( ( ( class_Orderings_Olinorder @ SV91 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV521 @ SV906 @ SV91 )
| ( c_HOL_Oord__class_Oless @ SV906 @ SV521 @ SV91 )
| ( SV906 = SV521 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2736]) ).
thf(3050,plain,
! [SV907: $i,SV522: $i,SV92: $i] :
( ( ( class_Orderings_Olinorder @ SV92 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV522 @ SV907 @ SV92 )
| ( SV907 = SV522 )
| ( c_HOL_Oord__class_Oless @ SV907 @ SV522 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2737]) ).
thf(3051,plain,
! [SV908: $i,SV523: $i,SV93: $i] :
( ( ( class_Orderings_Olinorder @ SV93 )
= $false )
| ( ( ( SV523 = SV908 )
| ( c_HOL_Oord__class_Oless @ SV523 @ SV908 @ SV93 )
| ( c_HOL_Oord__class_Oless @ SV908 @ SV523 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2738]) ).
thf(3052,plain,
! [SV909: $i,SV524: $i,SV94: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV94 @ SV524 @ ( tc_fun @ SV909 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV94 @ SV524 @ ( tc_fun @ SV909 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(3053,plain,
! [SV1202: $i,SV910: $i,SV525: $i,SV95: $i] :
( ( ( ~ ( class_HOL_Oord @ SV95 ) )
= $true )
| ( ( ( c_lessequals @ SV525 @ SV910 @ ( tc_fun @ SV1202 @ SV95 ) )
| ~ ( c_HOL_Oord__class_Oless @ SV525 @ SV910 @ ( tc_fun @ SV1202 @ SV95 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2740]) ).
thf(3054,plain,
! [SV911: $i,SV526: $i,SV96: $i] :
( ( ( class_Orderings_Oorder @ SV96 )
= $false )
| ( ( ( c_lessequals @ SV526 @ SV911 @ SV96 )
| ~ ( c_HOL_Oord__class_Oless @ SV526 @ SV911 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2741]) ).
thf(3055,plain,
! [SV912: $i,SV527: $i,SV97: $i] :
( ( ( class_Orderings_Opreorder @ SV97 )
= $false )
| ( ( ( c_lessequals @ SV527 @ SV912 @ SV97 )
| ~ ( c_HOL_Oord__class_Oless @ SV527 @ SV912 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2742]) ).
thf(3056,plain,
! [SV528: $i,SV98: $i,SV913: $i] :
( ( ( c_in @ ( c_Event_Oevent_ONotes @ SV913 @ SV98 ) @ ( c_List_Oset @ SV528 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV98 @ ( c_Event_Oused @ SV528 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2743]) ).
thf(3057,plain,
! [SV1203: $i,SV914: $i,SV529: $i,SV99: $i] :
( ( ( ( c_List_Oremove1 @ SV99 @ ( c_List_Ofilter @ SV529 @ SV914 @ SV1203 ) @ SV1203 )
= ( c_List_Ofilter @ SV529 @ SV914 @ SV1203 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV529 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2744]) ).
thf(3058,plain,
! [SV915: $i,SV530: $i,SV100: $i] :
( ( ( hBOOL @ ( hAPP @ SV100 @ ( c_List_Osko__List__XtakeWhile__eq__all__conv__1__1 @ SV100 @ SV530 @ SV915 ) ) )
= $false )
| ( ( ( c_List_OtakeWhile @ SV100 @ SV530 @ SV915 )
= SV530 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2745]) ).
thf(3059,plain,
! [SV1204: $i,SV916: $i,SV532: $i,SV103: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV103 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV532 @ SV916 @ SV103 )
| ~ ( c_lessequals @ SV532 @ SV1204 @ SV103 )
| ~ ( c_HOL_Oord__class_Oless @ SV1204 @ SV916 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2746]) ).
thf(3060,plain,
! [SV1205: $i,SV917: $i,SV533: $i,SV104: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV104 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV533 @ SV917 @ SV104 )
| ~ ( c_HOL_Oord__class_Oless @ SV533 @ SV1205 @ SV104 )
| ~ ( c_lessequals @ SV1205 @ SV917 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2747]) ).
thf(3061,plain,
! [SV1206: $i,SV918: $i,SV534: $i,SV105: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV105 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1206 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
| ~ ( c_HOL_Oord__class_Oless @ SV105 @ SV1206 @ ( tc_fun @ SV918 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2748]) ).
thf(3062,plain,
! [SV1207: $i,SV919: $i,SV535: $i,SV106: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV106 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV1207 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
| ~ ( c_lessequals @ SV106 @ SV1207 @ ( tc_fun @ SV919 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2749]) ).
thf(3063,plain,
! [SV1208: $i,SV920: $i,SV536: $i,SV107: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV107 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV536 @ SV920 @ SV107 )
| ~ ( c_HOL_Oord__class_Oless @ SV1208 @ SV920 @ SV107 )
| ~ ( c_lessequals @ SV536 @ SV1208 @ SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2750]) ).
thf(3064,plain,
! [SV1209: $i,SV921: $i,SV537: $i,SV108: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV108 ) )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV537 @ SV921 @ SV108 )
| ~ ( c_lessequals @ SV1209 @ SV921 @ SV108 )
| ~ ( c_HOL_Oord__class_Oless @ SV537 @ SV1209 @ SV108 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2751]) ).
thf(3065,plain,
! [SV1358: $i,SV1210: $i,SV922: $i,SV538: $i,SV109: $i] :
( ( ! [SY3239: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SV538 @ SV922 @ SV1210 ) @ SV1358 @ SY3239 @ SV1210 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SV1358 @ SY3239 @ SV1210 ) @ SV538 @ SV922 @ SV1210 ) )
| ( SV538 = SV1358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2752]) ).
thf(3066,plain,
! [SV110: $i,SV539: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV539 @ SV110 ) @ SV110 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV539 @ SV110 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2753]) ).
thf(3067,plain,
! [SV924: $i,SV541: $i,SV112: $i] :
( ( ( class_Orderings_Oorder @ SV112 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV541 @ SV924 @ SV112 )
| ( SV924 = SV541 )
| ~ ( c_lessequals @ SV541 @ SV924 @ SV112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2754]) ).
thf(3068,plain,
! [SV925: $i,SV542: $i,SV113: $i] :
( ( ( class_Orderings_Oorder @ SV113 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV542 @ SV925 @ SV113 )
| ~ ( c_lessequals @ SV542 @ SV925 @ SV113 )
| ( SV925 = SV542 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2755]) ).
thf(3069,plain,
! [SV926: $i,SV543: $i,SV114: $i] :
( ( ( SV114 = SV543 )
= $true )
| ( ( ~ ( c_lessequals @ SV114 @ SV543 @ ( tc_fun @ SV926 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV114 @ SV543 @ ( tc_fun @ SV926 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2756]) ).
thf(3070,plain,
! [SV927: $i,SV544: $i,SV115: $i] :
( ( ( class_Orderings_Oorder @ SV115 )
= $false )
| ( ( ( SV544 = SV927 )
| ( c_HOL_Oord__class_Oless @ SV544 @ SV927 @ SV115 )
| ~ ( c_lessequals @ SV544 @ SV927 @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2757]) ).
thf(3071,plain,
! [SV928: $i,SV545: $i,SV116: $i] :
( ( ( class_Orderings_Oorder @ SV116 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV545 @ SV928 @ SV116 )
| ( SV545 = SV928 )
| ~ ( c_lessequals @ SV545 @ SV928 @ SV116 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2758]) ).
thf(3072,plain,
! [SV929: $i,SV546: $i,SV117: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV117 @ SV546 @ ( tc_fun @ SV929 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV117 @ SV546 @ ( tc_fun @ SV929 @ tc_bool ) ) )
= $true )
| ( ( SV117 = SV546 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2759]) ).
thf(3073,plain,
! [SV930: $i,SV547: $i,SV118: $i] :
( ( ( class_Orderings_Oorder @ SV118 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV547 @ SV930 @ SV118 )
| ( SV547 = SV930 )
| ~ ( c_lessequals @ SV547 @ SV930 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2760]) ).
thf(3074,plain,
! [SV931: $i,SV548: $i,SV119: $i] :
( ( ( class_Orderings_Oorder @ SV119 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV548 @ SV931 @ SV119 )
| ~ ( c_lessequals @ SV548 @ SV931 @ SV119 )
| ( SV548 = SV931 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2761]) ).
thf(3075,plain,
! [SV932: $i,SV549: $i,SV120: $i] :
( ( ( class_Orderings_Olinorder @ SV120 )
= $false )
| ( ( ( SV549 = SV932 )
| ~ ( c_lessequals @ SV549 @ SV932 @ SV120 )
| ( c_HOL_Oord__class_Oless @ SV549 @ SV932 @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2762]) ).
thf(3076,plain,
! [SV933: $i,SV550: $i,SV121: $i] :
( ( ( class_Orderings_Olinorder @ SV121 )
= $false )
| ( ( ( SV550 = SV933 )
| ( c_HOL_Oord__class_Oless @ SV550 @ SV933 @ SV121 )
| ~ ( c_lessequals @ SV550 @ SV933 @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2763]) ).
thf(3077,plain,
! [SV934: $i,SV551: $i,SV122: $i] :
( ( ( class_Orderings_Olinorder @ SV122 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV551 @ SV934 @ SV122 ) @ SV122 )
| ~ ( c_List_Olinorder__class_Osorted @ SV934 @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2764]) ).
thf(3078,plain,
! [SV1359: $i,SV1211: $i,SV935: $i,SV552: $i,SV123: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV123 @ SV552 @ SV935 @ SV1211 ) @ SV552 @ SV1359 @ SV1211 )
= ( c_List_Olist__update @ SV123 @ SV552 @ SV1359 @ SV1211 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2765]) ).
thf(3079,plain,
! [SV936: $i,SV554: $i,SV125: $i] :
( ( ( class_Orderings_Olinorder @ SV125 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV554 @ SV936 @ SV125 ) @ SV125 )
| ~ ( c_List_Olinorder__class_Osorted @ SV936 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2766]) ).
thf(3080,plain,
! [SV937: $i,SV555: $i,SV126: $i] :
( ( ( class_Orderings_Oorder @ SV126 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV555 @ SV937 @ SV126 )
| ~ ( c_HOL_Oord__class_Oless @ SV937 @ SV555 @ SV126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2767]) ).
thf(3081,plain,
! [SV938: $i,SV556: $i,SV127: $i] :
( ( ( class_Orderings_Olinorder @ SV127 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV556 @ SV938 @ SV127 )
| ~ ( c_HOL_Oord__class_Oless @ SV938 @ SV556 @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2768]) ).
thf(3082,plain,
! [SV939: $i,SV557: $i,SV128: $i] :
( ( ( class_Orderings_Opreorder @ SV128 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV557 @ SV939 @ SV128 )
| ~ ( c_HOL_Oord__class_Oless @ SV939 @ SV557 @ SV128 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2769]) ).
thf(3083,plain,
! [SV940: $i,SV558: $i,SV129: $i] :
( ( ( class_Orderings_Opreorder @ SV129 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV558 @ SV940 @ SV129 )
| ~ ( c_HOL_Oord__class_Oless @ SV940 @ SV558 @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2770]) ).
thf(3084,plain,
! [SV941: $i,SV559: $i,SV130: $i] :
( ( ( class_Orderings_Olinorder @ SV130 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV559 @ SV941 @ SV130 ) @ SV130 )
| ~ ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV559 @ SV941 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV559 @ SV941 @ SV130 ) @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV559 @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2771]) ).
thf(3085,plain,
! [SV1212: $i,SV942: $i,SV560: $i,SV131: $i] :
( ( ( c_in @ SV131 @ ( c_Event_Oknows @ SV560 @ SV942 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV560 @ SV1212 @ SV131 ) @ ( c_List_Oset @ SV942 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2772]) ).
thf(3086,plain,
! [SV943: $i,SV132: $i,SV561: $i] :
( ( ( c_in @ ( c_Event_Oevent_ONotes @ SV561 @ SV132 ) @ ( c_List_Oset @ SV943 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV132 @ ( c_Event_Oknows @ SV561 @ SV943 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2773]) ).
thf(3087,plain,
! [SV1213: $i,SV944: $i,SV562: $i,SV133: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV133 @ SV562 @ ( tc_fun @ SV944 @ tc_bool ) )
= $true )
| ( ( ~ ( c_in @ SV1213 @ SV562 @ SV944 )
| ~ ( c_HOL_Oord__class_Oless @ SV133 @ ( c_Set_Oinsert @ SV1213 @ SV562 @ SV944 ) @ ( tc_fun @ SV944 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2774]) ).
thf(3088,plain,
! [SV1214: $i,SV945: $i,SV563: $i,SV134: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV134 @ ( c_Set_Oinsert @ SV563 @ SV945 @ SV1214 ) @ ( tc_fun @ SV1214 @ tc_bool ) )
= $true )
| ( ( ~ ( c_in @ SV563 @ SV945 @ SV1214 )
| ~ ( c_HOL_Oord__class_Oless @ SV134 @ SV945 @ ( tc_fun @ SV1214 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2775]) ).
thf(3089,plain,
! [SV1215: $i,SV946: $i,SV564: $i,SV135: $i] :
( ( ( ~ ( c_in @ SV135 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV564 @ SV946 @ SV1215 ) @ SV1215 ) @ SV1215 ) )
= $true )
| ( ( c_in @ SV135 @ ( c_List_Oset @ SV946 @ SV1215 ) @ SV1215 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2776]) ).
thf(3090,plain,
! [SV1216: $i,SV947: $i,SV565: $i,SV136: $i] :
( ( ( c_in @ SV136 @ ( c_List_Oset @ SV565 @ SV947 ) @ SV947 )
= $true )
| ( ( ~ ( c_in @ SV136 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV1216 @ SV565 @ SV947 ) @ SV947 ) @ SV947 )
| ( SV136 = SV1216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2777]) ).
thf(3091,plain,
! [SV1217: $i,SV948: $i,SV566: $i,SV137: $i] :
( ( ( c_in @ SV137 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV566 @ SV948 @ SV1217 ) @ SV1217 ) @ SV1217 )
= $true )
| ( ( ~ ( c_in @ SV137 @ ( c_List_Oset @ SV948 @ SV1217 ) @ SV1217 )
| ( SV137 = SV566 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2778]) ).
thf(3092,plain,
! [SV140: $i,SV569: $i,SV951: $i] :
( ( ( ~ ( c_in @ SV951 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_in @ SV140 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV951 @ SV569 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV140 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2779]) ).
thf(3093,plain,
! [SV1218: $i,SV952: $i,SV570: $i,SV141: $i] :
( ( ( c_in @ SV141 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV570 ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV952 @ SV1218 @ SV141 ) @ ( c_List_Oset @ SV570 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2780]) ).
thf(3094,plain,
! [SV142: $i,SV571: $i,SV953: $i] :
( ( ( ~ ( c_lessequals @ SV953 @ ( c_Message_Osynth @ SV571 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_in @ SV142 @ ( c_Message_Osynth @ SV953 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV142 @ ( c_Message_Osynth @ SV571 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2781]) ).
thf(3095,plain,
! [SV1219: $i,SV954: $i,SV572: $i,SV143: $i] :
( ( ( ( c_List_Ofilter @ SV143 @ ( c_List_Oreplicate @ SV572 @ SV954 @ SV1219 ) @ SV1219 )
= ( c_List_Olist_ONil @ SV1219 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV143 @ SV954 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2782]) ).
thf(3096,plain,
! [SV1220: $i,SV956: $i,SV574: $i,SV145: $i] :
( ( ( ( c_List_OtakeWhile @ SV145 @ ( c_List_Oappend @ SV574 @ SV956 @ SV1220 ) @ SV1220 )
= ( c_List_Oappend @ SV574 @ ( c_List_OtakeWhile @ SV145 @ SV956 @ SV1220 ) @ SV1220 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV145 @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV145 @ SV574 @ SV1220 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2783]) ).
thf(3097,plain,
! [SV957: $i,SV146: $i,SV575: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV575 @ SV146 ) @ ( c_List_Oset @ SV957 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( SV575 = c_Message_Oagent_OSpy )
= $true )
| ( ( c_in @ SV146 @ ( c_Event_Oknows @ SV575 @ SV957 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2784]) ).
thf(3098,plain,
! [SV959: $i,SV579: $i,SV150: $i] :
( ( ( hBOOL @ ( hAPP @ SV150 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV150 @ SV579 @ SV959 ) @ SV959 ) ) )
= $false )
| ( ( ( c_List_OdropWhile @ SV150 @ SV579 @ SV959 )
= ( c_List_Olist_ONil @ SV959 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2787]) ).
thf(3099,plain,
! [SV962: $i,SV582: $i,SV153: $i] :
( ( ( c_in @ SV153 @ SV582 @ SV962 )
= $false )
| ( ( ( c_Set_Oinsert @ SV153 @ SV582 @ SV962 )
= SV582 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2788]) ).
thf(3100,plain,
! [SV587: $i,SV964: $i,SV161: $i] :
( ( ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV161 @ SV964 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Olist_ONil @ SV964 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV161 @ SV587 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2789]) ).
thf(3101,plain,
! [SV1221: $i,SV965: $i,SV589: $i,SV166: $i] :
( ( ( c_in @ SV166 @ ( c_List_Oset @ ( c_List_Oappend @ SV589 @ ( c_List_Olist_OCons @ SV166 @ SV965 @ SV1221 ) @ SV1221 ) @ SV1221 ) @ SV1221 )
= $true )
| ( ( c_in @ SV166 @ ( c_List_Oset @ SV589 @ SV1221 ) @ SV1221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2790]) ).
thf(3102,plain,
! [SV1222: $i,SV966: $i,SV590: $i,SV167: $i] :
( ( ( c_in @ SV167 @ ( c_List_Oset @ ( c_List_Oappend @ SV590 @ ( c_List_Olist_OCons @ SV167 @ SV966 @ SV1222 ) @ SV1222 ) @ SV1222 ) @ SV1222 )
= $true )
| ( ( c_in @ SV167 @ ( c_List_Oset @ SV966 @ SV1222 ) @ SV1222 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2791]) ).
thf(3103,plain,
! [SV968: $i,SV592: $i,SV169: $i] :
( ( ( class_Orderings_Olinorder @ SV169 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ SV592 @ SV169 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV968 @ SV592 @ SV169 ) @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2793]) ).
thf(3104,plain,
! [SV969: $i,SV593: $i,SV170: $i] :
( ( ( class_Orderings_Olinorder @ SV170 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ SV593 @ SV170 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV593 @ SV969 @ SV170 ) @ SV170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2794]) ).
thf(3105,plain,
! [SV1225: $i,SV972: $i,SV596: $i,SV173: $i] :
( ( ( ~ ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV596 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV972 @ SV1225 ) @ SV596 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2796]) ).
thf(3106,plain,
! [SV1226: $i,SV973: $i,SV597: $i,SV174: $i] :
( ( ( ~ ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV597 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV973 @ SV1226 ) @ SV597 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2797]) ).
thf(3107,plain,
! [SV177: $i,SV976: $i,SV600: $i] :
( ( ( ~ ( c_in @ SV600 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV976 ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV976 ) )
= $true )
| ( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV177 @ SV600 ) @ SV976 @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2800]) ).
thf(3108,plain,
! [SV1360: $i,SV1229: $i,SV977: $i,SV601: $i,SV178: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV178 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV601 @ SV977 @ SV1229 @ SV1360 @ SV178 )
= ( c_List_Olist_OCons @ SV977 @ SV1229 @ SV1360 ) )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV977 @ SV601 @ SV1229 @ SV1360 @ SV178 ) @ ( c_List_Oset @ SV1229 @ SV1360 ) @ SV1360 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2801]) ).
thf(3109,plain,
! [SV1230: $i,SV978: $i,SV602: $i,SV179: $i] :
( ( ( ( c_List_OtakeWhile @ SV179 @ ( c_List_Oappend @ SV602 @ SV978 @ SV1230 ) @ SV1230 )
= ( c_List_Oappend @ SV602 @ ( c_List_OtakeWhile @ SV179 @ SV978 @ SV1230 ) @ SV1230 ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV179 @ SV602 @ SV1230 ) @ ( c_List_Oset @ SV602 @ SV1230 ) @ SV1230 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2802]) ).
thf(3110,plain,
! [SV979: $i,SV603: $i,SV180: $i] :
( ( ( class_Orderings_Olinorder @ SV180 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV603 @ SV979 @ SV180 ) @ SV180 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV603 @ SV979 @ SV180 ) @ ( c_List_Oset @ SV979 @ SV180 ) @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SV979 @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SV603 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2803]) ).
thf(3111,plain,
! [SV980: $i,SV604: $i,SV181: $i] :
( ( ( class_Orderings_Olinorder @ SV181 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV604 @ SV980 @ SV181 ) @ SV181 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV604 @ SV980 @ SV181 ) @ ( c_List_Oset @ SV604 @ SV181 ) @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SV980 @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SV604 @ SV181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2804]) ).
thf(3112,plain,
! [SV981: $i,SV605: $i,SV182: $i] :
( ( ( class_Orderings_Olinorder @ SV182 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV605 @ SV981 @ SV182 ) @ SV182 )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV605 @ SV981 @ SV182 ) @ ( c_List_Oset @ SV981 @ SV182 ) @ SV182 )
| ~ ( c_List_Olinorder__class_Osorted @ SV981 @ SV182 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2805]) ).
thf(3113,plain,
! [SV1361: $i,SV1231: $i,SV982: $i,SV606: $i,SV183: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV183 )
| ~ ( c_in @ SV606 @ ( c_List_Oset @ SV982 @ SV1231 ) @ SV1231 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1361 @ SV606 @ SV982 @ SV1231 @ SV183 ) @ SV1231 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2806]) ).
thf(3114,plain,
! [SV1362: $i,SV1232: $i,SV983: $i,SV607: $i,SV184: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV184 )
| ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV607 @ SV983 @ SV1232 @ SV1362 @ SV184 ) @ SV1362 )
| ~ ( c_List_Odistinct @ SV1232 @ SV1362 )
| ( c_in @ SV983 @ ( c_List_Oset @ SV1232 @ SV1362 ) @ SV1362 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2807]) ).
thf(3115,plain,
! [SV1363: $i,SV1233: $i,SV985: $i,SV609: $i,SV186: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV186 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV609 @ SV985 @ SV1233 @ SV1363 @ SV186 )
= ( c_List_Olist_OCons @ SV985 @ SV1233 @ SV1363 ) )
| ~ ( c_lessequals @ ( hAPP @ SV609 @ SV985 ) @ ( hAPP @ SV609 @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV985 @ SV609 @ SV1233 @ SV1363 @ SV186 ) ) @ SV186 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2808]) ).
thf(3116,plain,
! [SV1234: $i,SV987: $i,SV614: $i,SV191: $i] :
( ( ( ( c_List_OtakeWhile @ SV191 @ SV614 @ SV987 )
= ( c_List_OtakeWhile @ SV1234 @ SV614 @ SV987 ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV191 @ SV1234 @ SV614 @ SV987 ) @ ( c_List_Oset @ SV614 @ SV987 ) @ SV987 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2812]) ).
thf(3117,plain,
! [SV988: $i,SV615: $i,SV192: $i] :
( ( ( class_Orderings_Olinorder @ SV192 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV615 @ SV988 @ SV192 ) @ SV192 )
| ~ ( c_lessequals @ SV615 @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV615 @ SV988 @ SV192 ) @ SV192 )
| ~ ( c_List_Olinorder__class_Osorted @ SV988 @ SV192 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2813]) ).
thf(3118,plain,
! [SV1236: $i,SV990: $i,SV617: $i,SV194: $i] :
( ( ( ( c_List_Oremove1 @ SV194 @ ( c_List_Oappend @ SV617 @ SV990 @ SV1236 ) @ SV1236 )
= ( c_List_Oappend @ ( c_List_Oremove1 @ SV194 @ SV617 @ SV1236 ) @ SV990 @ SV1236 ) )
= $true )
| ( ( ~ ( c_in @ SV194 @ ( c_List_Oset @ SV617 @ SV1236 ) @ SV1236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2815]) ).
thf(3119,plain,
! [SV1364: $i,SV1237: $i,SV991: $i,SV618: $i,SV195: $i] :
( ( ( ( c_List_OdropWhile @ SV195 @ ( c_List_Oappend @ SV618 @ SV991 @ SV1237 ) @ SV1237 )
= ( c_List_Oappend @ ( c_List_OdropWhile @ SV195 @ SV618 @ SV1237 ) @ SV991 @ SV1237 ) )
| ( hBOOL @ ( hAPP @ SV195 @ SV1364 ) )
| ~ ( c_in @ SV1364 @ ( c_List_Oset @ SV618 @ SV1237 ) @ SV1237 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2816]) ).
thf(3120,plain,
! [SV1238: $i,SV992: $i,SV619: $i,SV196: $i] :
( ( ( ( c_List_Oremove1 @ SV196 @ ( c_List_Oappend @ SV619 @ SV992 @ SV1238 ) @ SV1238 )
= ( c_List_Oappend @ SV619 @ ( c_List_Oremove1 @ SV196 @ SV992 @ SV1238 ) @ SV1238 ) )
= $true )
| ( ( c_in @ SV196 @ ( c_List_Oset @ SV619 @ SV1238 ) @ SV1238 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2817]) ).
thf(3121,plain,
! [SV1365: $i,SV1239: $i,SV993: $i,SV620: $i,SV197: $i] :
( ( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV197 @ SV620 @ SV993 @ SV1239 ) @ SV1239 ) @ SV1365 @ ( tc_fun @ SV1239 @ tc_bool ) )
| ~ ( c_in @ SV993 @ SV1365 @ SV1239 )
| ~ ( c_lessequals @ ( c_List_Oset @ SV197 @ SV1239 ) @ SV1365 @ ( tc_fun @ SV1239 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2818]) ).
thf(3122,plain,
! [SV994: $i,SV621: $i,SV198: $i] :
( ( ( c_in @ SV198 @ ( c_List_Oset @ SV621 @ SV994 ) @ SV994 )
= $false )
| ( ( ( c_List_Oremdups @ ( c_List_Olist_OCons @ SV198 @ SV621 @ SV994 ) @ SV994 )
= ( c_List_Oremdups @ SV621 @ SV994 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2819]) ).
thf(3123,plain,
! [SV1240: $i,SV995: $i,SV622: $i,SV199: $i] :
( ( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV199 @ SV622 @ SV995 ) @ SV1240 @ SV995 )
= ( c_List_Olist_OCons @ SV199 @ ( c_List_Olist__inter @ SV622 @ SV1240 @ SV995 ) @ SV995 ) )
= $true )
| ( ( ~ ( c_in @ SV199 @ ( c_List_Oset @ SV1240 @ SV995 ) @ SV995 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2820]) ).
thf(3124,plain,
! [SV1241: $i,SV996: $i,SV623: $i,SV200: $i] :
( ( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV200 @ SV623 @ SV996 ) @ SV1241 @ SV996 )
= ( c_List_Olist__inter @ SV623 @ SV1241 @ SV996 ) )
= $true )
| ( ( c_in @ SV200 @ ( c_List_Oset @ SV1241 @ SV996 ) @ SV996 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2821]) ).
thf(3125,plain,
! [SV997: $i,SV624: $i,SV201: $i] :
( ( ( c_in @ SV201 @ ( c_List_Oset @ SV624 @ SV997 ) @ SV997 )
= $false )
| ( ( ( c_List_Olength__unique @ ( c_List_Olist_OCons @ SV201 @ SV624 @ SV997 ) @ SV997 )
= ( c_List_Olength__unique @ SV624 @ SV997 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2822]) ).
thf(3126,plain,
! [SV998: $i,SV625: $i,SV202: $i] :
( ( ( c_in @ SV202 @ ( c_List_Oset @ SV625 @ SV998 ) @ SV998 )
= $false )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV202 @ SV625 @ SV998 ) @ SV998 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2823]) ).
thf(3127,plain,
! [SV204: $i,SV1000: $i,SV627: $i] :
( ( ( ~ ( c_List_Odistinct @ SV627 @ SV1000 ) )
= $true )
| ( ( c_in @ SV204 @ ( c_List_Oset @ SV627 @ SV1000 ) @ SV1000 )
= $true )
| ( ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV204 @ SV627 @ SV1000 ) @ SV1000 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(3128,plain,
! [SV1242: $i,SV1001: $i,SV628: $i,SV205: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV205 @ ( c_Set_Oinsert @ SV628 @ SV1001 @ SV1242 ) @ ( tc_fun @ SV1242 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) )
| ( c_in @ SV628 @ SV205 @ SV1242 )
| ~ ( c_HOL_Oord__class_Oless @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(3129,plain,
! [SV1243: $i,SV1002: $i,SV629: $i,SV206: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV206 @ ( c_Set_Oinsert @ SV629 @ SV1002 @ SV1243 ) @ ( tc_fun @ SV1243 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV206 @ SV1002 @ ( tc_fun @ SV1243 @ tc_bool ) )
| ( c_in @ SV629 @ SV206 @ SV1243 )
| ( c_in @ SV629 @ SV1002 @ SV1243 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2827]) ).
thf(3130,plain,
! [SV1244: $i,SV1003: $i,SV630: $i,SV207: $i] :
( ( ( c_lessequals @ SV207 @ SV630 @ ( tc_fun @ SV1003 @ tc_bool ) )
= $true )
| ( ( ( c_in @ SV1244 @ SV207 @ SV1003 )
| ( c_in @ SV1244 @ SV630 @ SV1003 )
| ~ ( c_HOL_Oord__class_Oless @ SV207 @ ( c_Set_Oinsert @ SV1244 @ SV630 @ SV1003 ) @ ( tc_fun @ SV1003 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2828]) ).
thf(3131,plain,
! [SV1004: $i,SV631: $i,SV208: $i] :
( ( ( c_in @ SV208 @ c_Event_Obad @ tc_Message_Oagent )
= $false )
| ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV208 @ SV631 ) @ SV1004 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV631 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1004 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2829]) ).
thf(3132,plain,
! [SV1245: $i,SV1005: $i,SV632: $i,SV209: $i] :
( ( ( c_in @ SV209 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV632 ) ) @ tc_Message_Omsg )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1005 @ SV1245 @ SV209 ) @ ( c_List_Oset @ SV632 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2830]) ).
thf(3133,plain,
! [SV1006: $i,SV210: $i,SV633: $i] :
( ( ( c_in @ ( c_Event_Oevent_ONotes @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( ( c_in @ ( c_Event_Oevent_OGets @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV633 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV633 @ SV210 @ SV1006 ) @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV633 = c_Message_Oagent_OSpy )
| ~ ( c_in @ SV210 @ ( c_Event_Oknows @ SV633 @ SV1006 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV210 @ ( c_Event_OinitState @ SV633 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2831]) ).
thf(3134,plain,
! [SV1246: $i,SV1009: $i,SV636: $i,SV214: $i] :
( ( ( c_lessequals @ SV214 @ SV636 @ ( tc_fun @ SV1009 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Set_Oinsert @ SV1246 @ SV214 @ SV1009 ) @ SV636 @ ( tc_fun @ SV1009 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2832]) ).
thf(3135,plain,
! [SV1247: $i,SV1010: $i,SV637: $i,SV215: $i] :
( ( ( c_lessequals @ SV215 @ ( c_Set_Oinsert @ SV637 @ SV1010 @ SV1247 ) @ ( tc_fun @ SV1247 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV215 @ SV1010 @ ( tc_fun @ SV1247 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2833]) ).
thf(3136,plain,
! [SV1248: $i,SV1012: $i,SV639: $i,SV217: $i] :
( ( ( c_in @ SV217 @ SV639 @ SV1012 )
= $true )
| ( ( ( SV217 = SV1248 )
| ~ ( c_in @ SV217 @ ( c_Set_Oinsert @ SV1248 @ SV639 @ SV1012 ) @ SV1012 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2834]) ).
thf(3137,plain,
! [SV1249: $i,SV1013: $i,SV640: $i,SV218: $i] :
( ( ( c_in @ SV218 @ ( c_Set_Oinsert @ SV640 @ SV1013 @ SV1249 ) @ SV1249 )
= $true )
| ( ( ~ ( c_in @ SV218 @ SV1013 @ SV1249 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2835]) ).
thf(3138,plain,
! [SV1250: $i,SV1014: $i,SV641: $i,SV219: $i] :
( ( ( c_in @ SV219 @ ( c_Set_Oinsert @ SV641 @ SV1014 @ SV1250 ) @ SV1250 )
= $true )
| ( ( ~ ( c_in @ SV219 @ SV1014 @ SV1250 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2836]) ).
thf(3139,plain,
! [SV1251: $i,SV1015: $i,SV642: $i,SV220: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV220 @ SV642 @ SV1015 ) @ ( c_Set_Oinsert @ SV220 @ SV1251 @ SV1015 ) @ ( tc_fun @ SV1015 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV642 @ SV1251 @ ( tc_fun @ SV1015 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2837]) ).
thf(3140,plain,
! [SV1252: $i,SV1016: $i,SV643: $i,SV221: $i] :
( ( ( ( c_List_OtakeWhile @ SV221 @ ( c_List_Olist_OCons @ SV643 @ SV1016 @ SV1252 ) @ SV1252 )
= ( c_List_Olist_OCons @ SV643 @ ( c_List_OtakeWhile @ SV221 @ SV1016 @ SV1252 ) @ SV1252 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV221 @ SV643 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2838]) ).
thf(3141,plain,
! [SV1017: $i,SV644: $i,SV222: $i] :
( ( ( class_Orderings_Olinorder @ SV222 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ SV644 @ SV222 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1017 @ SV644 @ SV222 ) @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(3142,plain,
! [SV1253: $i,SV1018: $i,SV645: $i,SV223: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV223 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1253 @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 ) @ SV223 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2840]) ).
thf(3143,plain,
! [SV1366: $i,SV1254: $i,SV1019: $i,SV646: $i,SV224: $i] :
( ( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV224 @ SV646 @ SV1019 ) @ ( c_List_Olist_OCons @ SV1254 @ SV1366 @ SV1019 ) @ SV1019 )
= ( c_List_Olist_OCons @ SV224 @ ( c_List_Olist_OCons @ SV1254 @ ( c_List_Osplice @ SV646 @ SV1366 @ SV1019 ) @ SV1019 ) @ SV1019 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2841]) ).
thf(3144,plain,
! [SV1367: $i,SV1255: $i,SV1022: $i,SV649: $i,SV227: $i] :
( ( ~ ( class_HOL_Oord @ SV227 )
| ( c_lessequals @ ( hAPP @ SV649 @ SV1022 ) @ ( hAPP @ SV1255 @ SV1022 ) @ SV227 )
| ~ ( c_lessequals @ SV649 @ SV1255 @ ( tc_fun @ SV1367 @ SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2842]) ).
thf(3145,plain,
! [SV1256: $i,SV1023: $i,SV650: $i,SV228: $i] :
( ( ( hBOOL @ ( hAPP @ SV228 @ SV650 ) )
= $true )
| ( ( ~ ( c_in @ SV650 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SV228 @ SV1023 @ SV1256 ) @ SV1256 ) @ SV1256 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2843]) ).
thf(3146,plain,
! [SV1257: $i,SV1024: $i,SV652: $i,SV230: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV230 ) )
= $true )
| ( ( ( c_lessequals @ SV652 @ SV1024 @ SV230 )
| ~ ( c_in @ SV1024 @ ( c_List_Oset @ SV1257 @ SV230 ) @ SV230 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV652 @ SV1257 @ SV230 ) @ SV230 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2844]) ).
thf(3147,plain,
! [SV1258: $i,SV1025: $i,SV653: $i,SV231: $i] :
( ( ( c_in @ SV231 @ ( c_List_Oset @ SV653 @ SV1025 ) @ SV1025 )
= $true )
| ( ( ~ ( c_in @ SV231 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SV1258 @ SV653 @ SV1025 ) @ SV1025 ) @ SV1025 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2845]) ).
thf(3148,plain,
! [SV654: $i,SV1026: $i,SV232: $i] :
( ( ( c_in @ SV232 @ ( c_Message_Oanalz @ SV1026 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV232 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV654 @ SV1026 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2846]) ).
thf(3149,plain,
! [SV1259: $i,SV1027: $i,SV655: $i,SV233: $i] :
( ( ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SV655 @ SV1027 @ SV1259 ) @ SV1259 ) @ SV1259 ) @ SV1259 )
= $true )
| ( ( ~ ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ SV655 @ SV1259 ) @ SV1259 ) @ SV1259 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2847]) ).
thf(3150,plain,
! [SV1260: $i,SV1028: $i,SV656: $i,SV234: $i] :
( ( ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SV656 @ SV1028 @ SV1260 ) @ SV1260 ) @ SV1260 ) @ SV1260 )
= $true )
| ( ( ~ ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ SV1028 @ SV1260 ) @ SV1260 ) @ SV1260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2848]) ).
thf(3151,plain,
! [SV1029: $i,SV657: $i,SV235: $i] :
( ( ( class_Orderings_Olinorder @ SV235 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OtakeWhile @ SV657 @ SV1029 @ SV235 ) @ SV235 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1029 @ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2849]) ).
thf(3152,plain,
! [SV1368: $i,SV1261: $i,SV1030: $i,SV658: $i,SV236: $i] :
( ( ! [SY3240: $i] :
( ~ ( class_Orderings_Olinorder @ SV236 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV658 @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SY3240 ) @ SY3240 @ SV236 )
= ( c_List_Olist_OCons @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SY3240 ) @ SY3240 ) )
| ~ ( c_lessequals @ ( hAPP @ SV658 @ SV1030 ) @ ( hAPP @ SV658 @ SV1261 ) @ SV236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2850]) ).
thf(3153,plain,
! [SV1262: $i,SV1031: $i,SV659: $i,SV237: $i] :
( ( ( c_lessequals @ SV237 @ SV659 @ ( tc_fun @ SV1031 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV237 @ ( c_Set_Oinsert @ SV1262 @ SV659 @ SV1031 ) @ ( tc_fun @ SV1031 @ tc_bool ) )
| ( c_in @ SV1262 @ SV237 @ SV1031 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2851]) ).
thf(3154,plain,
! [SV1263: $i,SV1032: $i,SV660: $i,SV238: $i] :
( ( ( c_lessequals @ SV238 @ ( c_Set_Oinsert @ SV660 @ SV1032 @ SV1263 ) @ ( tc_fun @ SV1263 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV238 @ SV1032 @ ( tc_fun @ SV1263 @ tc_bool ) )
| ( c_in @ SV660 @ SV238 @ SV1263 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2852]) ).
thf(3155,plain,
! [SV1264: $i,SV1033: $i,SV661: $i,SV239: $i] :
( ( ( c_lessequals @ SV239 @ SV661 @ ( tc_fun @ SV1033 @ tc_bool ) )
= $true )
| ( ( ( c_in @ SV1264 @ SV239 @ SV1033 )
| ~ ( c_lessequals @ SV239 @ ( c_Set_Oinsert @ SV1264 @ SV661 @ SV1033 ) @ ( tc_fun @ SV1033 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2853]) ).
thf(3156,plain,
! [SV1265: $i,SV1034: $i,SV662: $i,SV240: $i] :
( ( ( c_lessequals @ SV240 @ ( c_Set_Oinsert @ SV662 @ SV1034 @ SV1265 ) @ ( tc_fun @ SV1265 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV240 @ SV1034 @ ( tc_fun @ SV1265 @ tc_bool ) )
| ( c_in @ SV662 @ SV240 @ SV1265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2854]) ).
thf(3157,plain,
! [SV1266: $i,SV1035: $i,SV664: $i,SV242: $i] :
( ( ( c_in @ SV242 @ SV664 @ SV1035 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Set_Oinsert @ SV242 @ SV1266 @ SV1035 ) @ SV664 @ ( tc_fun @ SV1035 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2856]) ).
thf(3158,plain,
! [SV1369: $i,SV1267: $i,SV1036: $i,SV665: $i,SV243: $i] :
( ( ( hBOOL @ ( hAPP @ SV243 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ ( c_List_Oappend @ SV665 @ ( c_List_Olist_OCons @ SV1036 @ SV1267 @ SV1369 ) @ SV1369 ) @ SV1369 ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ SV665 @ SV1369 ) @ ( c_List_Oset @ SV665 @ SV1369 ) @ SV1369 )
| ~ ( hBOOL @ ( hAPP @ SV243 @ SV1036 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2857]) ).
thf(3159,plain,
! [SV1370: $i,SV1268: $i,SV1037: $i,SV666: $i,SV244: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV244 )
| ( c_lessequals @ SV666 @ SV1037 @ SV244 )
| ~ ( c_in @ SV1037 @ ( c_List_Oset @ SV1268 @ SV244 ) @ SV244 )
| ~ ( c_in @ SV666 @ ( c_List_Oset @ SV1370 @ SV244 ) @ SV244 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1370 @ SV1268 @ SV244 ) @ SV244 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2858]) ).
thf(3160,plain,
! [SV1269: $i,SV1038: $i,SV667: $i,SV245: $i] :
( ( ( c_in @ SV245 @ ( c_List_Oset @ SV667 @ SV1038 ) @ SV1038 )
= $true )
| ( ( ( SV245 = SV1269 )
| ~ ( c_in @ SV245 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1269 @ SV667 @ SV1038 ) @ SV1038 ) @ SV1038 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2859]) ).
thf(3161,plain,
! [SV1371: $i,SV1270: $i,SV1039: $i,SV668: $i,SV246: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SV1270 @ SV1371 ) @ SV1371 ) @ SV1371 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SV1270 @ SV1371 ) @ SV1371 ) @ SV1371 ) @ SV1371 )
| ( hBOOL @ ( hAPP @ SV246 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ SV1270 @ SV1371 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV246 @ SV1039 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2860]) ).
thf(3162,plain,
! [SV1040: $i,SV247: $i,SV669: $i] :
( ( ( c_in @ SV669 @ SV247 @ SV1040 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV247 @ SV669 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2861]) ).
thf(3163,plain,
! [SV1041: $i,SV248: $i,SV670: $i] :
( ( ( hBOOL @ ( hAPP @ SV670 @ SV248 ) )
= $false )
| ( ( c_in @ SV248 @ SV670 @ SV1041 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2862]) ).
thf(3164,plain,
! [SV252: $i,SV674: $i,SV1042: $i] :
( ( ( ~ ( c_in @ SV1042 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_in @ SV252 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1042 @ SV674 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV252 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2864]) ).
thf(3165,plain,
! [SV1372: $i,SV1271: $i,SV1043: $i,SV679: $i,SV257: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SV1271 @ SV1372 ) @ SV1372 ) @ SV1372 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SV1271 @ SV1372 ) @ SV1372 ) @ SV1372 ) @ SV1372 )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ SV679 @ SV1372 ) @ ( c_List_Oset @ SV679 @ SV1372 ) @ SV1372 )
| ~ ( hBOOL @ ( hAPP @ SV257 @ SV1043 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2865]) ).
thf(3166,plain,
! [SV1373: $i,SV1272: $i,SV1045: $i,SV682: $i,SV260: $i] :
( ( ( ( c_List_OtakeWhile @ SV260 @ ( c_List_Oappend @ SV682 @ SV1045 @ SV1272 ) @ SV1272 )
= ( c_List_OtakeWhile @ SV260 @ SV682 @ SV1272 ) )
| ( hBOOL @ ( hAPP @ SV260 @ SV1373 ) )
| ~ ( c_in @ SV1373 @ ( c_List_Oset @ SV682 @ SV1272 ) @ SV1272 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2866]) ).
thf(3167,plain,
! [SV261: $i,SV683: $i,SV1046: $i] :
( ( ( ~ ( c_lessequals @ SV1046 @ ( c_Message_Oanalz @ SV683 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_in @ SV261 @ ( c_Message_Oanalz @ SV1046 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV261 @ ( c_Message_Oanalz @ SV683 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2867]) ).
thf(3168,plain,
! [SV1374: $i,SV1273: $i,SV1047: $i,SV686: $i,SV265: $i] :
( ( ! [SY3241: $i] :
( ~ ( class_Orderings_Olinorder @ SV265 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ ( c_List_Olist_OCons @ SV1273 @ SV1374 @ SY3241 ) @ SY3241 @ SV265 )
= ( c_List_Olist_OCons @ SV1273 @ ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ SV1374 @ SY3241 @ SV265 ) @ SY3241 ) )
| ( c_lessequals @ ( hAPP @ SV686 @ SV1047 ) @ ( hAPP @ SV686 @ SV1273 ) @ SV265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2870]) ).
thf(3169,plain,
! [SV1274: $i,SV1048: $i,SV687: $i,SV266: $i] :
( ( ( ( c_List_Osplice @ ( c_List_Olist_OCons @ SV266 @ SV687 @ SV1048 ) @ SV1274 @ SV1048 )
= ( c_List_Olist_OCons @ SV266 @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV1274 @ SV1048 ) @ ( c_List_Osplice @ SV687 @ ( c_List_Otl @ SV1274 @ SV1048 ) @ SV1048 ) @ SV1048 ) @ SV1048 ) )
= $true )
| ( ( SV1274
= ( c_List_Olist_ONil @ SV1048 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2871]) ).
thf(3170,plain,
! [SV1049: $i,SV268: $i,SV689: $i] :
( ( ( ~ ( c_lessequals @ SV689 @ SV268 @ ( tc_fun @ SV1049 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV268 @ SV689 @ ( tc_fun @ SV1049 @ tc_bool ) ) )
= $true )
| ( ( SV268 = SV689 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2872]) ).
thf(3171,plain,
! [SV1050: $i,SV269: $i,SV690: $i] :
( ( ( ~ ( c_lessequals @ SV690 @ SV269 @ ( tc_fun @ SV1050 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV269 @ SV690 @ ( tc_fun @ SV1050 @ tc_bool ) ) )
= $true )
| ( ( SV269 = SV690 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2873]) ).
thf(3172,plain,
! [SV1051: $i,SV691: $i,SV270: $i] :
( ( ( class_Orderings_Oorder @ SV270 )
= $false )
| ( ( ( SV691 = SV1051 )
| ~ ( c_lessequals @ SV1051 @ SV691 @ SV270 )
| ~ ( c_lessequals @ SV691 @ SV1051 @ SV270 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2874]) ).
thf(3173,plain,
! [SV1052: $i,SV692: $i,SV271: $i] :
( ( ( class_Orderings_Oorder @ SV271 )
= $false )
| ( ( ( SV692 = SV1052 )
| ~ ( c_lessequals @ SV1052 @ SV692 @ SV271 )
| ~ ( c_lessequals @ SV692 @ SV1052 @ SV271 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2875]) ).
thf(3174,plain,
! [SV1053: $i,SV693: $i,SV272: $i] :
( ( ( class_Orderings_Oorder @ SV272 )
= $false )
| ( ( ( SV693 = SV1053 )
| ~ ( c_lessequals @ SV693 @ SV1053 @ SV272 )
| ~ ( c_lessequals @ SV1053 @ SV693 @ SV272 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2876]) ).
thf(3175,plain,
! [SV1275: $i,SV1054: $i,SV694: $i,SV273: $i] :
( ( ( SV273 = SV694 )
= $true )
| ( ( ~ ( c_in @ SV273 @ ( c_List_Oset @ ( c_List_Oreplicate @ SV1054 @ SV694 @ SV1275 ) @ SV1275 ) @ SV1275 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2877]) ).
thf(3176,plain,
! [SV1375: $i,SV1276: $i,SV1055: $i,SV696: $i,SV275: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV275 )
| ( ( c_List_Oset @ ( c_List_Olinorder__class_Oinsort__key @ SV696 @ SV1055 @ SV1276 @ SV1375 @ SV275 ) @ SV1375 )
= ( c_Set_Oinsert @ SV1055 @ ( c_List_Oset @ SV1276 @ SV1375 ) @ SV1375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2878]) ).
thf(3177,plain,
! [SV1277: $i,SV1056: $i,SV697: $i,SV276: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV276 ) )
= $true )
| ( ( ( c_lessequals @ SV697 @ SV1056 @ SV276 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV697 @ ( c_List_Olist_OCons @ SV1056 @ SV1277 @ SV276 ) @ SV276 ) @ SV276 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2879]) ).
thf(3178,plain,
! [SV278: $i,SV699: $i,SV1058: $i] :
( ( ( ~ ( c_lessequals @ SV1058 @ SV699 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_in @ SV278 @ ( c_Message_Oanalz @ SV1058 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV278 @ SV699 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV699 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2880]) ).
thf(3179,plain,
! [SV1278: $i,SV1059: $i,SV700: $i,SV279: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV279 @ SV700 @ SV1059 ) @ SV1278 @ ( tc_fun @ SV1059 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV700 @ SV1278 @ ( tc_fun @ SV1059 @ tc_bool ) )
| ~ ( c_in @ SV279 @ SV1278 @ SV1059 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2881]) ).
thf(3180,plain,
! [SV1376: $i,SV1279: $i,SV1060: $i,SV702: $i,SV281: $i] :
( ( ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ ( c_List_Oappend @ SV702 @ ( c_List_Olist_OCons @ SV1060 @ SV1279 @ SV1376 ) @ SV1376 ) @ SV1376 ) ) )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ SV1279 @ SV1376 ) @ ( c_List_Oset @ SV1279 @ SV1376 ) @ SV1376 )
| ~ ( hBOOL @ ( hAPP @ SV281 @ SV1060 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2883]) ).
thf(3181,plain,
! [SV1280: $i,SV1061: $i,SV703: $i,SV282: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV282 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV703 @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 ) @ SV282 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 )
| ~ ( c_lessequals @ SV703 @ SV1061 @ SV282 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2884]) ).
thf(3182,plain,
! [SV1377: $i,SV1281: $i,SV1062: $i,SV704: $i,SV283: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SV1281 @ SV1377 ) @ SV1377 ) @ SV1377 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SV1281 @ SV1377 ) @ SV1377 ) @ SV1377 ) @ SV1377 )
| ( hBOOL @ ( hAPP @ SV283 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ SV704 @ SV1377 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV283 @ SV1062 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2885]) ).
thf(3183,plain,
! [SV1282: $i,SV1063: $i,SV705: $i,SV284: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV284 ) )
= $true )
| ( ( ( c_lessequals @ SV705 @ SV1063 @ SV284 )
| ~ ( c_lessequals @ SV705 @ SV1282 @ SV284 )
| ~ ( c_lessequals @ SV1282 @ SV1063 @ SV284 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2886]) ).
thf(3184,plain,
! [SV1283: $i,SV1064: $i,SV706: $i,SV285: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV285 ) )
= $true )
| ( ( ( c_lessequals @ SV706 @ SV1064 @ SV285 )
| ~ ( c_lessequals @ SV1283 @ SV1064 @ SV285 )
| ~ ( c_lessequals @ SV706 @ SV1283 @ SV285 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2887]) ).
thf(3185,plain,
! [SV1284: $i,SV1065: $i,SV707: $i,SV286: $i] :
( ( ( c_in @ SV286 @ SV707 @ SV1065 )
= $true )
| ( ( ~ ( c_in @ SV286 @ SV1284 @ SV1065 )
| ~ ( c_lessequals @ SV1284 @ SV707 @ ( tc_fun @ SV1065 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2888]) ).
thf(3186,plain,
! [SV1285: $i,SV1066: $i,SV708: $i,SV287: $i] :
( ( ( c_in @ SV287 @ SV708 @ SV1066 )
= $true )
| ( ( ~ ( c_in @ SV287 @ SV1285 @ SV1066 )
| ~ ( c_lessequals @ SV1285 @ SV708 @ ( tc_fun @ SV1066 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2889]) ).
thf(3187,plain,
! [SV1286: $i,SV1067: $i,SV710: $i,SV289: $i] :
( ( ( c_in @ SV289 @ SV710 @ SV1067 )
= $true )
| ( ( ~ ( c_lessequals @ SV1286 @ SV710 @ ( tc_fun @ SV1067 @ tc_bool ) )
| ~ ( c_in @ SV289 @ SV1286 @ SV1067 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2890]) ).
thf(3188,plain,
! [SV1287: $i,SV1068: $i,SV711: $i,SV290: $i] :
( ( ( c_in @ SV290 @ SV711 @ SV1068 )
= $true )
| ( ( ~ ( c_in @ SV290 @ SV1287 @ SV1068 )
| ~ ( c_lessequals @ SV1287 @ SV711 @ ( tc_fun @ SV1068 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2891]) ).
thf(3189,plain,
! [SV1288: $i,SV1069: $i,SV713: $i,SV292: $i] :
( ( ( c_lessequals @ SV292 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1288 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
| ~ ( c_lessequals @ SV292 @ SV1288 @ ( tc_fun @ SV1069 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2892]) ).
thf(3190,plain,
! [SV1289: $i,SV1070: $i,SV714: $i,SV293: $i] :
( ( ( hBOOL @ ( hAPP @ SV293 @ SV714 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1070 @ SV714 ) )
| ~ ( c_lessequals @ SV1070 @ SV293 @ ( tc_fun @ SV1289 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2893]) ).
thf(3191,plain,
! [SV1290: $i,SV1071: $i,SV717: $i,SV296: $i] :
( ( ( hBOOL @ ( hAPP @ SV296 @ SV717 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1071 @ SV296 @ ( tc_fun @ SV1290 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV1071 @ SV717 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2896]) ).
thf(3192,plain,
! [SV1072: $i,SV719: $i,SV298: $i] :
( ( ( c_in @ SV298 @ ( c_List_Oset @ ( c_List_Obutlast @ SV719 @ SV1072 ) @ SV1072 ) @ SV1072 )
= $false )
| ( ( c_in @ SV298 @ ( c_List_Oset @ SV719 @ SV1072 ) @ SV1072 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2898]) ).
thf(3193,plain,
! [SV1378: $i,SV1291: $i,SV1073: $i,SV720: $i,SV299: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SV1291 @ SV1378 ) @ SV1378 ) @ SV1378 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SV1291 @ SV1378 ) @ SV1378 ) @ SV1378 ) @ SV1378 )
| ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ SV1291 @ SV1378 ) @ ( c_List_Oset @ SV1291 @ SV1378 ) @ SV1378 )
| ~ ( hBOOL @ ( hAPP @ SV299 @ SV1073 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2899]) ).
thf(3194,plain,
! [SV1074: $i,SV722: $i,SV302: $i] :
( ( ( class_Orderings_Olinorder @ SV302 )
= $false )
| ( ( ( c_lessequals @ SV722 @ SV1074 @ SV302 )
| ( c_lessequals @ SV1074 @ SV722 @ SV302 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2900]) ).
thf(3195,plain,
! [SV723: $i,SV1075: $i,SV303: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Oappend @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV303 @ SV1075 ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__induct__1__1 @ SV303 @ SV1075 ) @ ( c_List_Olist_ONil @ SV1075 ) @ SV1075 ) @ SV1075 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ SV1075 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV303 @ SV723 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2901]) ).
thf(3196,plain,
! [SV1292: $i,SV1079: $i,SV729: $i,SV309: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV309 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Oinsort__key @ SV729 @ SV1079 @ ( c_List_Olist_ONil @ SV1292 ) @ SV1292 @ SV309 )
= ( c_List_Olist_OCons @ SV1079 @ ( c_List_Olist_ONil @ SV1292 ) @ SV1292 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2902]) ).
thf(3197,plain,
! [SV1293: $i,SV1082: $i,SV734: $i,SV314: $i] :
( ( ( ( c_List_OtakeWhile @ SV314 @ ( c_List_Olist_OCons @ SV734 @ SV1082 @ SV1293 ) @ SV1293 )
= ( c_List_Olist_ONil @ SV1293 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV314 @ SV734 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2904]) ).
thf(3198,plain,
! [SV1379: $i,SV1295: $i,SV1085: $i,SV740: $i,SV320: $i] :
( ( ( ( c_List_OtakeWhile @ SV320 @ ( c_List_Oappend @ SV740 @ ( c_List_Olist_OCons @ SV1085 @ SV1295 @ SV1379 ) @ SV1379 ) @ SV1379 )
= ( c_List_OtakeWhile @ SV320 @ SV740 @ SV1379 ) )
| ( hBOOL @ ( hAPP @ SV320 @ SV1085 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2908]) ).
thf(3199,plain,
! [SV1380: $i,SV1296: $i,SV1086: $i,SV741: $i,SV321: $i] :
( ( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ ( c_List_Oappend @ SV741 @ ( c_List_Olist_OCons @ SV1086 @ SV1296 @ SV1380 ) @ SV1380 ) @ SV1380 ) ) )
| ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ SV741 @ SV1380 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV321 @ SV1086 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2909]) ).
thf(3200,plain,
! [SV1381: $i,SV1297: $i,SV1087: $i,SV742: $i,SV322: $i] :
( ( ( c_List_Oconcat__map @ SV322 @ ( c_List_Olist_OCons @ SV742 @ SV1087 @ SV1297 ) @ SV1297 @ SV1381 )
= ( c_List_Oappend @ ( hAPP @ SV322 @ SV742 ) @ ( c_List_Oconcat__map @ SV322 @ SV1087 @ SV1297 @ SV1381 ) @ SV1381 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2910]) ).
thf(3201,plain,
! [SV1382: $i,SV1298: $i,SV1088: $i,SV743: $i,SV323: $i] :
( ( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ ( c_List_Oappend @ SV743 @ ( c_List_Olist_OCons @ SV1088 @ SV1298 @ SV1382 ) @ SV1382 ) @ SV1382 ) ) )
| ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ SV1298 @ SV1382 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV323 @ SV1088 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2911]) ).
thf(3202,plain,
! [SV1383: $i,SV1299: $i,SV1093: $i,SV751: $i,SV331: $i] :
( ( ~ ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV751 ) ) @ tc_Message_Omsg )
| ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1093 @ SV1299 @ SV1383 ) @ SV751 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2916]) ).
thf(3203,plain,
! [SV1384: $i,SV1300: $i,SV1103: $i,SV761: $i,SV342: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV342 @ SV761 ) @ ( c_Event_Oknows @ SV342 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1103 @ SV1300 @ SV1384 ) @ SV761 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2917]) ).
thf(3204,plain,
! [SV1308: $i,SV1114: $i,SV772: $i,SV354: $i] :
( ( ( hBOOL @ ( hAPP @ SV354 @ SV772 ) )
= $true )
| ( ( ( SV1114 = SV772 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1114 @ SV354 @ SV1308 ) @ SV772 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2926]) ).
thf(3205,plain,
! [SV1312: $i,SV1119: $i,SV782: $i,SV364: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV364 @ SV782 @ SV1119 ) @ SV1312 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV782 @ SV1312 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2930]) ).
thf(3206,plain,
! [SV1123: $i,SV790: $i,SV373: $i] :
( ( ( c_fequal @ SV373 @ SV790 @ SV1123 )
= $false )
| ( ( SV373 = SV790 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2936]) ).
thf(3207,plain,
! [SV1315: $i,SV1124: $i,SV791: $i,SV374: $i] :
( ( ( ( c_List_Oappend @ SV374 @ SV791 @ SV1124 )
!= ( c_List_Oappend @ SV374 @ SV1315 @ SV1124 ) )
= $true )
| ( ( SV791 = SV1315 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2937]) ).
thf(3208,plain,
! [SV1316: $i,SV1125: $i,SV792: $i,SV375: $i] :
( ( ( c_Event_Oevent_ONotes @ SV375 @ SV792 )
= ( c_Event_Oevent_OGets @ SV1125 @ SV1316 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2938]) ).
thf(3209,plain,
! [SV1126: $i,SV793: $i,SV376: $i] :
( ( ( ( c_List_Olist_ONil @ SV376 )
= ( c_List_Oappend @ SV793 @ SV1126 @ SV376 ) )
= $false )
| ( ( SV793
= ( c_List_Olist_ONil @ SV376 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2939]) ).
thf(3210,plain,
! [SV1127: $i,SV794: $i,SV377: $i] :
( ( ( ( c_List_Orev @ SV377 @ SV794 )
= ( c_List_Orev @ SV1127 @ SV794 ) )
= $false )
| ( ( SV377 = SV1127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2940]) ).
thf(3211,plain,
! [SV1385: $i,SV1317: $i,SV1128: $i,SV795: $i,SV378: $i] :
( ( ( ( c_List_Olist_OCons @ SV378 @ SV795 @ SV1128 )
!= ( c_List_Olist_OCons @ SV1317 @ SV1385 @ SV1128 ) )
| ( SV795 = SV1385 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2941]) ).
thf(3212,plain,
! [SV1386: $i,SV1318: $i,SV1129: $i,SV796: $i,SV379: $i] :
( ( ( c_Event_Oevent_OSays @ SV379 @ SV796 @ SV1129 )
!= ( c_Event_Oevent_OGets @ SV1318 @ SV1386 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2942]) ).
thf(3213,plain,
! [SV1387: $i,SV1319: $i,SV1130: $i,SV797: $i,SV380: $i] :
( ( ( ( c_List_Ofilter @ SV380 @ SV797 @ SV1130 )
!= ( c_List_Olist_OCons @ SV1319 @ SV1387 @ SV1130 ) )
| ( hBOOL @ ( hAPP @ SV380 @ SV1319 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2943]) ).
thf(3214,plain,
! [SV1320: $i,SV1131: $i,SV798: $i,SV381: $i] :
( ( ( ( c_List_Ofilter @ SV381 @ SV798 @ SV1131 )
!= SV798 )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV381 @ SV1320 ) )
| ~ ( c_in @ SV1320 @ ( c_List_Oset @ SV798 @ SV1131 ) @ SV1131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2944]) ).
thf(3215,plain,
! [SV1132: $i,SV799: $i,SV382: $i] :
( ( ( ( c_List_Oappend @ SV382 @ SV799 @ SV1132 )
= ( c_List_Olist_ONil @ SV1132 ) )
= $false )
| ( ( SV799
= ( c_List_Olist_ONil @ SV1132 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2945]) ).
thf(3216,plain,
! [SV1388: $i,SV1321: $i,SV1133: $i,SV801: $i,SV384: $i] :
( ( ( ( c_List_Olist_OCons @ SV384 @ SV801 @ SV1133 )
!= ( c_List_Ofilter @ SV1321 @ SV1388 @ SV1133 ) )
| ( hBOOL @ ( hAPP @ SV1321 @ SV384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2947]) ).
thf(3217,plain,
! [SV1322: $i,SV1134: $i,SV802: $i,SV385: $i] :
( ( ( c_Event_Oevent_OGets @ SV385 @ SV802 )
= ( c_Event_Oevent_ONotes @ SV1134 @ SV1322 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2948]) ).
thf(3218,plain,
! [SV1135: $i,SV803: $i,SV386: $i] :
( ( ( class_Orderings_Olinorder @ SV386 )
= $false )
| ( ( ( ( c_List_Oset @ SV803 @ SV386 )
!= ( c_List_Oset @ SV1135 @ SV386 ) )
| ~ ( c_List_Odistinct @ SV1135 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
| ~ ( c_List_Odistinct @ SV803 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2949]) ).
thf(3219,plain,
! [SV1389: $i,SV1323: $i,SV1136: $i,SV804: $i,SV387: $i] :
( ( ( c_Event_Oevent_ONotes @ SV387 @ SV804 )
!= ( c_Event_Oevent_OSays @ SV1136 @ SV1323 @ SV1389 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2950]) ).
thf(3220,plain,
! [SV1324: $i,SV1137: $i,SV805: $i,SV388: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV388 @ SV805 )
!= ( c_Message_Omsg_OCrypt @ SV1137 @ SV1324 ) )
= $true )
| ( ( SV388 = SV1137 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2951]) ).
thf(3221,plain,
! [SV1390: $i,SV1325: $i,SV1138: $i,SV806: $i,SV389: $i] :
( ( ( c_Event_Oevent_OGets @ SV389 @ SV806 )
!= ( c_Event_Oevent_OSays @ SV1138 @ SV1325 @ SV1390 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2952]) ).
thf(3222,plain,
! [SV1391: $i,SV1326: $i,SV1139: $i,SV808: $i,SV391: $i] :
( ( ( ( c_List_Olist_OCons @ SV391 @ SV808 @ SV1139 )
!= ( c_List_Oappend @ SV1326 @ SV1391 @ SV1139 ) )
| ( SV808
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV391 @ SV808 @ SV1326 @ SV1391 @ SV1139 ) @ SV1391 @ SV1139 ) )
| ( SV1326
= ( c_List_Olist_ONil @ SV1139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2954]) ).
thf(3223,plain,
! [SV1392: $i,SV1327: $i,SV1140: $i,SV809: $i,SV392: $i] :
( ( ( ( c_List_Oappend @ SV392 @ ( c_List_Olist_OCons @ SV809 @ ( c_List_Olist_ONil @ SV1140 ) @ SV1140 ) @ SV1140 )
!= ( c_List_Oappend @ SV1327 @ ( c_List_Olist_OCons @ SV1392 @ ( c_List_Olist_ONil @ SV1140 ) @ SV1140 ) @ SV1140 ) )
| ( SV809 = SV1392 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2955]) ).
thf(3224,plain,
! [SV1393: $i,SV1328: $i,SV1141: $i,SV810: $i,SV393: $i] :
( ( ! [SY3242: $i] :
( ( ( c_Event_Oevent_OSays @ SV393 @ SV810 @ SV1141 )
!= ( c_Event_Oevent_OSays @ SV1328 @ SV1393 @ SY3242 ) )
| ( SV1141 = SY3242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2956]) ).
thf(3225,plain,
! [SV1394: $i,SV1329: $i,SV1142: $i,SV811: $i,SV394: $i] :
( ( ( ( c_List_Oappend @ SV394 @ SV811 @ SV1142 )
!= ( c_List_Olist_OCons @ SV1329 @ SV1394 @ SV1142 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1329 @ SV1394 @ SV394 @ SV811 @ SV1142 ) @ SV811 @ SV1142 )
= SV1394 )
| ( SV811
= ( c_List_Olist_OCons @ SV1329 @ SV1394 @ SV1142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2957]) ).
thf(3226,plain,
! [SV1330: $i,SV1143: $i,SV812: $i,SV395: $i] :
( ( ( ( c_List_Olist__update @ SV395 @ SV812 @ SV1143 @ SV1330 )
!= ( c_List_Olist_ONil @ SV1330 ) )
= $true )
| ( ( SV395
= ( c_List_Olist_ONil @ SV1330 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2958]) ).
thf(3227,plain,
! [SV1395: $i,SV1331: $i,SV1144: $i,SV813: $i,SV396: $i] :
( ( ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
!= ( c_List_Oappend @ SV1331 @ SV1395 @ SV1144 ) )
| ( ( c_List_Olist_OCons @ SV396 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV396 @ SV813 @ SV1331 @ SV1395 @ SV1144 ) @ SV1144 )
= SV1331 )
| ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
= SV1395 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2959]) ).
thf(3228,plain,
! [SV1145: $i,SV814: $i,SV397: $i] :
( ( ( SV397
= ( c_List_Oappend @ SV397 @ SV814 @ SV1145 ) )
= $false )
| ( ( SV814
= ( c_List_Olist_ONil @ SV1145 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(3229,plain,
! [SV1332: $i,SV1146: $i,SV815: $i,SV398: $i] :
( ( ( ( c_List_Ofilter @ SV398 @ SV815 @ SV1146 )
!= ( c_List_Olist_ONil @ SV1146 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV398 @ SV1332 ) )
| ~ ( c_in @ SV1332 @ ( c_List_Oset @ SV815 @ SV1146 ) @ SV1146 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2961]) ).
thf(3230,plain,
! [SV1396: $i,SV1333: $i,SV1147: $i,SV816: $i,SV399: $i] :
( ( ( ( c_List_Oreplicate @ SV399 @ SV816 @ SV1147 )
!= ( c_List_Oreplicate @ SV1333 @ SV1396 @ SV1147 ) )
| ( SV399 = SV1333 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2962]) ).
thf(3231,plain,
! [SV1397: $i,SV1334: $i,SV1148: $i,SV817: $i,SV400: $i] :
( ( ( ( c_List_Olist_OCons @ SV400 @ SV817 @ SV1148 )
!= ( c_List_Oappend @ SV1334 @ SV1397 @ SV1148 ) )
| ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV400 @ SV817 @ SV1334 @ SV1397 @ SV1148 ) @ SV1148 )
= SV1334 )
| ( SV1334
= ( c_List_Olist_ONil @ SV1148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2963]) ).
thf(3232,plain,
! [SV1398: $i,SV1335: $i,SV1149: $i,SV818: $i,SV401: $i] :
( ( ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
!= ( c_List_Oappend @ SV1335 @ SV1398 @ SV1149 ) )
| ( SV818
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV401 @ SV818 @ SV1335 @ SV1398 @ SV1149 ) @ SV1398 @ SV1149 ) )
| ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
= SV1398 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2964]) ).
thf(3233,plain,
! [SV1399: $i,SV1336: $i,SV1150: $i,SV819: $i,SV402: $i] :
( ( ( c_Event_Oevent_OSays @ SV402 @ SV819 @ SV1150 )
!= ( c_Event_Oevent_ONotes @ SV1336 @ SV1399 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2965]) ).
thf(3234,plain,
! [SV1151: $i,SV820: $i,SV403: $i] :
( ( ( ( c_List_Olist_OCons @ SV403 @ ( c_List_Olist_ONil @ SV820 ) @ SV820 )
= ( c_List_Orev @ SV1151 @ SV820 ) )
= $false )
| ( ( SV1151
= ( c_List_Olist_OCons @ SV403 @ ( c_List_Olist_ONil @ SV820 ) @ SV820 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2966]) ).
thf(3235,plain,
! [SV1337: $i,SV1152: $i,SV821: $i,SV404: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV404 @ SV821 )
!= ( c_Event_Oevent_ONotes @ SV1152 @ SV1337 ) )
= $true )
| ( ( SV404 = SV1152 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2967]) ).
thf(3236,plain,
! [SV1338: $i,SV1153: $i,SV822: $i,SV405: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV405 @ SV822 )
!= ( c_Event_Oevent_OGets @ SV1153 @ SV1338 ) )
= $true )
| ( ( SV405 = SV1153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2968]) ).
thf(3237,plain,
! [SV1400: $i,SV1339: $i,SV1154: $i,SV823: $i,SV406: $i] :
( ( ! [SY3243: $i] :
( ( ( c_Event_Oevent_OSays @ SV406 @ SV823 @ SV1154 )
!= ( c_Event_Oevent_OSays @ SV1339 @ SV1400 @ SY3243 ) )
| ( SV823 = SV1400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2969]) ).
thf(3238,plain,
! [SV1401: $i,SV1340: $i,SV1155: $i,SV826: $i,SV409: $i] :
( ( ! [SY3244: $i] :
( ( ( c_Event_Oevent_OSays @ SV409 @ SV826 @ SV1155 )
!= ( c_Event_Oevent_OSays @ SV1340 @ SV1401 @ SY3244 ) )
| ( SV409 = SV1340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2972]) ).
thf(3239,plain,
! [SV1402: $i,SV1341: $i,SV1156: $i,SV827: $i,SV410: $i] :
( ( ( ( c_List_OdropWhile @ SV410 @ SV827 @ SV1156 )
!= ( c_List_Olist_OCons @ SV1341 @ SV1402 @ SV1156 ) )
| ~ ( hBOOL @ ( hAPP @ SV410 @ SV1341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2973]) ).
thf(3240,plain,
! [SV1342: $i,SV1157: $i,SV828: $i,SV411: $i] :
( ( ( ( c_List_Oappend @ SV411 @ SV828 @ SV1157 )
!= ( c_List_Oappend @ SV1342 @ SV828 @ SV1157 ) )
= $true )
| ( ( SV411 = SV1342 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2974]) ).
thf(3241,plain,
! [SV1160: $i,SV831: $i,SV414: $i] :
( ( ( ( c_List_Oappend @ SV414 @ SV831 @ SV1160 )
= SV831 )
= $false )
| ( ( SV414
= ( c_List_Olist_ONil @ SV1160 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2977]) ).
thf(3242,plain,
! [SV1343: $i,SV1161: $i,SV832: $i,SV415: $i] :
( ( ( ( c_List_OtakeWhile @ SV415 @ SV832 @ SV1161 )
!= SV832 )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV415 @ SV1343 ) )
| ~ ( c_in @ SV1343 @ ( c_List_Oset @ SV832 @ SV1161 ) @ SV1161 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2978]) ).
thf(3243,plain,
! [SV1344: $i,SV1162: $i,SV833: $i,SV416: $i] :
( ( ( ( c_List_Orev @ SV416 @ SV833 )
!= ( c_List_Olist_OCons @ SV1162 @ SV1344 @ SV833 ) )
= $true )
| ( ( SV416
= ( c_List_Oappend @ ( c_List_Orev @ SV1344 @ SV833 ) @ ( c_List_Olist_OCons @ SV1162 @ ( c_List_Olist_ONil @ SV833 ) @ SV833 ) @ SV833 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2979]) ).
thf(3244,plain,
! [SV1164: $i,SV836: $i,SV419: $i] :
( ( ( ( c_Message_Oanalz @ SV419 )
= ( c_Message_Oanalz @ SV836 ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1164 @ SV419 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1164 @ SV836 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2982]) ).
thf(3245,plain,
! [SV1345: $i,SV1165: $i,SV837: $i,SV420: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV420 @ SV837 )
!= ( c_Event_Oevent_ONotes @ SV1165 @ SV1345 ) )
= $true )
| ( ( SV837 = SV1345 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2983]) ).
thf(3246,plain,
! [SV1166: $i,SV838: $i,SV421: $i] :
( ( ( SV421
= ( c_List_Oappend @ SV838 @ SV421 @ SV1166 ) )
= $false )
| ( ( SV838
= ( c_List_Olist_ONil @ SV1166 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2984]) ).
thf(3247,plain,
! [SV1346: $i,SV1167: $i,SV839: $i,SV422: $i] :
( ( ( ( c_Set_Oinsert @ SV422 @ SV839 @ SV1167 )
!= ( c_Set_Oinsert @ SV422 @ SV1346 @ SV1167 ) )
= $true )
| ( ( ( c_in @ SV422 @ SV1346 @ SV1167 )
| ( c_in @ SV422 @ SV839 @ SV1167 )
| ( SV839 = SV1346 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2985]) ).
thf(3248,plain,
! [SV1403: $i,SV1347: $i,SV1168: $i,SV840: $i,SV423: $i] :
( ( ( SV423
!= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV840 @ SV423 @ SV1168 ) @ ( c_List_Olist_OCons @ SV1347 @ SV1403 @ SV1168 ) @ SV1168 ) )
| ( ( c_List_OdropWhile @ SV840 @ SV423 @ SV1168 )
= ( c_List_Olist_OCons @ SV1347 @ SV1403 @ SV1168 ) )
| ( hBOOL @ ( hAPP @ SV840 @ SV1347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2986]) ).
thf(3249,plain,
! [SV1169: $i,SV841: $i,SV424: $i] :
( ( ( ( c_List_Oappend @ SV424 @ SV841 @ SV1169 )
= ( c_List_Olist_ONil @ SV1169 ) )
= $false )
| ( ( SV424
= ( c_List_Olist_ONil @ SV1169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2987]) ).
thf(3250,plain,
! [SV1404: $i,SV1348: $i,SV1170: $i,SV843: $i,SV426: $i] :
( ( ( ( c_List_Oappend @ SV426 @ ( c_List_Olist_OCons @ SV843 @ ( c_List_Olist_ONil @ SV1170 ) @ SV1170 ) @ SV1170 )
!= ( c_List_Oappend @ SV1348 @ ( c_List_Olist_OCons @ SV1404 @ ( c_List_Olist_ONil @ SV1170 ) @ SV1170 ) @ SV1170 ) )
| ( SV426 = SV1348 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2989]) ).
thf(3251,plain,
! [SV1405: $i,SV1349: $i,SV1171: $i,SV844: $i,SV427: $i] :
( ( ( ( c_List_Olist_OCons @ SV427 @ SV844 @ SV1171 )
!= ( c_List_Olist_OCons @ SV1349 @ SV1405 @ SV1171 ) )
| ( SV427 = SV1349 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2990]) ).
thf(3252,plain,
! [SV1172: $i,SV845: $i,SV428: $i] :
( ( ( ( c_List_Olist_ONil @ SV428 )
= ( c_List_Oappend @ SV845 @ SV1172 @ SV428 ) )
= $false )
| ( ( SV1172
= ( c_List_Olist_ONil @ SV428 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2991]) ).
thf(3253,plain,
! [SV1350: $i,SV1173: $i,SV846: $i,SV429: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV429 @ SV846 )
!= ( c_Message_Omsg_OCrypt @ SV1173 @ SV1350 ) )
= $true )
| ( ( SV846 = SV1350 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2992]) ).
thf(3254,plain,
! [SV1406: $i,SV1351: $i,SV1174: $i,SV847: $i,SV430: $i] :
( ( ( ( c_List_Oappend @ SV430 @ SV847 @ SV1174 )
!= ( c_List_Olist_OCons @ SV1351 @ SV1406 @ SV1174 ) )
| ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1351 @ SV1406 @ SV430 @ SV847 @ SV1174 ) @ SV847 @ SV1174 )
= SV1406 )
| ( SV430
= ( c_List_Olist_ONil @ SV1174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2993]) ).
thf(3255,plain,
! [SV1407: $i,SV1352: $i,SV1175: $i,SV848: $i,SV431: $i] :
( ( ( ( c_List_OdropWhile @ SV431 @ SV848 @ SV1175 )
!= ( c_List_Olist_OCons @ SV1352 @ SV1407 @ SV1175 ) )
| ( SV848
= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV431 @ SV848 @ SV1175 ) @ ( c_List_Olist_OCons @ SV1352 @ SV1407 @ SV1175 ) @ SV1175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2994]) ).
thf(3256,plain,
! [SV1176: $i,SV849: $i,SV432: $i] :
( ( ( ( c_List_Orev @ SV432 @ SV849 )
= ( c_List_Olist_OCons @ SV1176 @ ( c_List_Olist_ONil @ SV849 ) @ SV849 ) )
= $false )
| ( ( SV432
= ( c_List_Olist_OCons @ SV1176 @ ( c_List_Olist_ONil @ SV849 ) @ SV849 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2995]) ).
thf(3257,plain,
! [SV1353: $i,SV1178: $i,SV851: $i,SV434: $i] :
( ( ( ( c_List_OdropWhile @ SV434 @ SV851 @ SV1178 )
!= ( c_List_Olist_ONil @ SV1178 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV434 @ SV1353 ) )
| ~ ( c_in @ SV1353 @ ( c_List_Oset @ SV851 @ SV1178 ) @ SV1178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2997]) ).
thf(3258,plain,
! [SV1408: $i,SV1354: $i,SV1179: $i,SV853: $i,SV436: $i] :
( ( ( ( c_List_Oappend @ SV436 @ SV853 @ SV1179 )
!= ( c_List_Olist_OCons @ SV1354 @ SV1408 @ SV1179 ) )
| ( SV436
= ( c_List_Olist_OCons @ SV1354 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1354 @ SV1408 @ SV436 @ SV853 @ SV1179 ) @ SV1179 ) )
| ( SV853
= ( c_List_Olist_OCons @ SV1354 @ SV1408 @ SV1179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2999]) ).
thf(3259,plain,
! [SV1180: $i,SV854: $i,SV437: $i] :
( ( ( ( c_List_Oappend @ SV437 @ SV854 @ SV1180 )
= SV437 )
= $false )
| ( ( SV854
= ( c_List_Olist_ONil @ SV1180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3000]) ).
thf(3260,plain,
! [SV1409: $i,SV1355: $i,SV1182: $i,SV856: $i,SV439: $i] :
( ( ( ( c_List_Oappend @ SV439 @ SV856 @ SV1182 )
!= ( c_List_Olist_OCons @ SV1355 @ SV1409 @ SV1182 ) )
| ( SV439
= ( c_List_Olist_OCons @ SV1355 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1355 @ SV1409 @ SV439 @ SV856 @ SV1182 ) @ SV1182 ) )
| ( SV439
= ( c_List_Olist_ONil @ SV1182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3002]) ).
thf(3261,plain,
! [SV1356: $i,SV1183: $i,SV857: $i,SV440: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV440 @ SV857 )
!= ( c_Event_Oevent_OGets @ SV1183 @ SV1356 ) )
= $true )
| ( ( SV857 = SV1356 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3003]) ).
thf(3262,plain,
! [SV19: $i,SV455: $i,SV863: $i] :
( ( ( c_lessequals @ SV863 @ ( c_Message_Oparts @ SV455 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( c_in @ SV19 @ ( c_Message_Oparts @ SV863 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV19 @ ( c_Message_Oparts @ SV455 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3007]) ).
thf(3263,plain,
! [SV463: $i,SV30: $i,SV864: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV864 @ SV30 ) @ ( c_Message_Osynth @ SV463 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV864 @ SV30 ) @ SV463 @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV30 @ ( c_Message_Osynth @ SV463 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3264,plain,
! [SV865: $i,SV464: $i,SV31: $i,SV1184: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV1184 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SV1184 @ SV464 @ SV865 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV31 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SV1184 @ SV464 @ SV865 ) ) ) )
= $true )
| ( ( ( c_List_OtakeWhile @ SV31 @ SV464 @ SV865 )
= ( c_List_OtakeWhile @ SV1184 @ SV464 @ SV865 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3009]) ).
thf(3265,plain,
! [SV866: $i,SV465: $i,SV32: $i,SV1185: $i] :
( ( ( hBOOL @ ( hAPP @ SV1185 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SV1185 @ SV465 @ SV866 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV32 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV32 @ SV1185 @ SV465 @ SV866 ) ) )
= $true )
| ( ( ( c_List_OtakeWhile @ SV32 @ SV465 @ SV866 )
= ( c_List_OtakeWhile @ SV1185 @ SV465 @ SV866 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3010]) ).
thf(3266,plain,
! [SV1357: $i,SV1186: $i,SV867: $i,SV466: $i,SV33: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV33 ) )
= $true )
| ( ( ( c_List_Odistinct @ SV466 @ SV867 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1186 @ SV1357 @ SV466 @ SV867 @ SV33 ) @ SV867 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3011]) ).
thf(3267,plain,
! [SV1189: $i,SV871: $i,SV470: $i,SV37: $i] :
( ( ( hBOOL @ ( hAPP @ SV37 @ SV470 ) )
= $false )
| ( ( ( c_List_OdropWhile @ SV37 @ ( c_List_Olist_OCons @ SV470 @ SV871 @ SV1189 ) @ SV1189 )
= ( c_List_OdropWhile @ SV37 @ SV871 @ SV1189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3015]) ).
thf(3268,plain,
! [SV1191: $i,SV873: $i,SV472: $i,SV39: $i] :
( ( ( hBOOL @ ( hAPP @ SV39 @ SV472 ) )
= $false )
| ( ( ( c_List_Ofilter @ SV39 @ ( c_List_Olist_OCons @ SV472 @ SV873 @ SV1191 ) @ SV1191 )
= ( c_List_Olist_OCons @ SV472 @ ( c_List_Ofilter @ SV39 @ SV873 @ SV1191 ) @ SV1191 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3017]) ).
thf(3269,plain,
! [SV485: $i,SV55: $i,SV882: $i] :
( ( ( c_in @ SV882 @ c_Event_Obad @ tc_Message_Oagent )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV882 ) @ SV55 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV55 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3021]) ).
thf(3270,plain,
! [SV486: $i,SV56: $i,SV1193: $i,SV883: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV883 @ SV1193 @ SV56 ) @ ( c_List_Oset @ SV486 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV56 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV486 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3022]) ).
thf(3271,plain,
! [SV63: $i,SV885: $i,SV493: $i] :
( ( ( ~ ( c_lessequals @ SV493 @ SV885 @ SV63 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV885 @ SV493 @ SV63 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3024]) ).
thf(3272,plain,
! [SV1194: $i,SV886: $i,SV494: $i,SV64: $i] :
( ( ( class_HOL_Oord @ SV64 )
= $false )
| ( ( ~ ( c_lessequals @ SV494 @ SV886 @ ( tc_fun @ SV1194 @ SV64 ) )
| ~ ( c_HOL_Oord__class_Oless @ SV886 @ SV494 @ ( tc_fun @ SV1194 @ SV64 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3025]) ).
thf(3273,plain,
! [SV65: $i,SV887: $i,SV495: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV495 @ SV887 @ SV65 )
= $true )
| ( ( c_lessequals @ SV887 @ SV495 @ SV65 )
= $true )
| ( ( class_Orderings_Olinorder @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3026]) ).
thf(3274,plain,
! [SV66: $i,SV888: $i,SV496: $i] :
( ( ( ~ ( c_lessequals @ SV496 @ SV888 @ SV66 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV888 @ SV496 @ SV66 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3027]) ).
thf(3275,plain,
! [SV67: $i,SV889: $i,SV497: $i] :
( ( ( c_lessequals @ SV497 @ SV889 @ SV67 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV889 @ SV497 @ SV67 )
= $true )
| ( ( class_Orderings_Olinorder @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3028]) ).
thf(3276,plain,
! [SV68: $i,SV890: $i,SV498: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV498 @ SV890 @ SV68 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV890 @ SV498 @ SV68 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3029]) ).
thf(3277,plain,
! [SV70: $i,SV500: $i] :
( ( ( c_lessequals @ SV500 @ SV500 @ SV70 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV500 @ SV500 @ SV70 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3031]) ).
thf(3278,plain,
! [SV71: $i,SV891: $i,SV501: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV501 @ SV891 @ SV71 )
= $true )
| ( ( c_lessequals @ SV891 @ SV501 @ SV71 )
= $true )
| ( ( class_Orderings_Olinorder @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3032]) ).
thf(3279,plain,
! [SV1195: $i,SV893: $i,SV503: $i,SV73: $i] :
( ( ( class_Orderings_Oorder @ SV73 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV503 @ SV893 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SV503 @ SV1195 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SV1195 @ SV893 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3033]) ).
thf(3280,plain,
! [SV504: $i,SV894: $i,SV1196: $i,SV74: $i] :
( ( ( ~ ( c_in @ SV74 @ SV1196 @ SV894 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV1196 @ SV504 @ ( tc_fun @ SV894 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV74 @ SV504 @ SV894 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3034]) ).
thf(3281,plain,
! [SV75: $i,SV895: $i,SV505: $i,SV1197: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV1197 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV75 @ SV1197 @ ( tc_fun @ SV895 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV75 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3035]) ).
thf(3282,plain,
! [SV1198: $i,SV896: $i,SV506: $i,SV76: $i] :
( ( ( class_Orderings_Opreorder @ SV76 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV506 @ SV896 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SV1198 @ SV896 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SV506 @ SV1198 @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3036]) ).
thf(3283,plain,
! [SV507: $i,SV77: $i,SV1199: $i,SV897: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV897 @ SV1199 @ SV77 ) @ ( c_List_Oset @ SV507 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV77 @ ( c_Event_Oused @ SV507 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3284,plain,
! [SV1200: $i,SV510: $i,SV899: $i,SV80: $i] :
( ( ( hBOOL @ ( hAPP @ SV80 @ SV899 ) )
= $false )
| ( ( ( c_List_Ofilter @ SV80 @ ( c_List_Oreplicate @ SV510 @ SV899 @ SV1200 ) @ SV1200 )
= ( c_List_Oreplicate @ SV510 @ SV899 @ SV1200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3039]) ).
thf(3285,plain,
! [SV512: $i,SV82: $i,SV901: $i] :
( ( ( c_in @ SV901 @ c_Event_Obad @ tc_Message_Oagent )
= $false )
| ( ( ~ ( c_in @ ( c_Event_Oevent_ONotes @ SV901 @ SV82 ) @ ( c_List_Oset @ SV512 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV82 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV512 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3041]) ).
thf(3286,plain,
! [SV83: $i,SV902: $i,SV513: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV513 @ SV902 @ SV83 )
= $true )
| ( ( ( c_lessequals @ SV902 @ SV513 @ SV83 )
| ~ ( c_lessequals @ SV513 @ SV902 @ SV83 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3042]) ).
thf(3287,plain,
! [SV1201: $i,SV903: $i,SV515: $i,SV85: $i] :
( ( ( class_HOL_Oord @ SV85 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) )
| ( c_lessequals @ SV903 @ SV515 @ ( tc_fun @ SV1201 @ SV85 ) )
| ~ ( c_lessequals @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3043]) ).
thf(3288,plain,
! [SV89: $i,SV904: $i,SV519: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV519 @ SV904 @ SV89 )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV904 @ SV519 @ SV89 )
| ( SV904 = SV519 ) )
= $true )
| ( ( class_Ring__and__Field_Oordered__idom @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3047]) ).
thf(3289,plain,
! [SV90: $i,SV905: $i,SV520: $i] :
( ( ( SV520 = SV905 )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV905 @ SV520 @ SV90 )
| ( c_HOL_Oord__class_Oless @ SV520 @ SV905 @ SV90 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3048]) ).
thf(3290,plain,
! [SV91: $i,SV906: $i,SV521: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV521 @ SV906 @ SV91 )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV906 @ SV521 @ SV91 )
| ( SV906 = SV521 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3049]) ).
thf(3291,plain,
! [SV92: $i,SV907: $i,SV522: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV522 @ SV907 @ SV92 )
= $true )
| ( ( ( SV907 = SV522 )
| ( c_HOL_Oord__class_Oless @ SV907 @ SV522 @ SV92 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3050]) ).
thf(3292,plain,
! [SV93: $i,SV908: $i,SV523: $i] :
( ( ( SV523 = SV908 )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV523 @ SV908 @ SV93 )
| ( c_HOL_Oord__class_Oless @ SV908 @ SV523 @ SV93 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3051]) ).
thf(3293,plain,
! [SV1202: $i,SV910: $i,SV525: $i,SV95: $i] :
( ( ( class_HOL_Oord @ SV95 )
= $false )
| ( ( ( c_lessequals @ SV525 @ SV910 @ ( tc_fun @ SV1202 @ SV95 ) )
| ~ ( c_HOL_Oord__class_Oless @ SV525 @ SV910 @ ( tc_fun @ SV1202 @ SV95 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3053]) ).
thf(3294,plain,
! [SV96: $i,SV911: $i,SV526: $i] :
( ( ( c_lessequals @ SV526 @ SV911 @ SV96 )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV526 @ SV911 @ SV96 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3054]) ).
thf(3295,plain,
! [SV97: $i,SV912: $i,SV527: $i] :
( ( ( c_lessequals @ SV527 @ SV912 @ SV97 )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV527 @ SV912 @ SV97 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3055]) ).
thf(3296,plain,
! [SV1204: $i,SV916: $i,SV532: $i,SV103: $i] :
( ( ( class_Orderings_Oorder @ SV103 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV532 @ SV916 @ SV103 )
| ~ ( c_lessequals @ SV532 @ SV1204 @ SV103 )
| ~ ( c_HOL_Oord__class_Oless @ SV1204 @ SV916 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3059]) ).
thf(3297,plain,
! [SV1205: $i,SV917: $i,SV533: $i,SV104: $i] :
( ( ( class_Orderings_Oorder @ SV104 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV533 @ SV917 @ SV104 )
| ~ ( c_HOL_Oord__class_Oless @ SV533 @ SV1205 @ SV104 )
| ~ ( c_lessequals @ SV1205 @ SV917 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3298,plain,
! [SV105: $i,SV918: $i,SV534: $i,SV1206: $i] :
( ( ( ~ ( c_lessequals @ SV1206 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV105 @ SV1206 @ ( tc_fun @ SV918 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV105 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3061]) ).
thf(3299,plain,
! [SV106: $i,SV919: $i,SV535: $i,SV1207: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV1207 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV106 @ SV1207 @ ( tc_fun @ SV919 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV106 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3062]) ).
thf(3300,plain,
! [SV1208: $i,SV920: $i,SV536: $i,SV107: $i] :
( ( ( class_Orderings_Opreorder @ SV107 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV536 @ SV920 @ SV107 )
| ~ ( c_HOL_Oord__class_Oless @ SV1208 @ SV920 @ SV107 )
| ~ ( c_lessequals @ SV536 @ SV1208 @ SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3063]) ).
thf(3301,plain,
! [SV1209: $i,SV921: $i,SV537: $i,SV108: $i] :
( ( ( class_Orderings_Opreorder @ SV108 )
= $false )
| ( ( ( c_HOL_Oord__class_Oless @ SV537 @ SV921 @ SV108 )
| ~ ( c_lessequals @ SV1209 @ SV921 @ SV108 )
| ~ ( c_HOL_Oord__class_Oless @ SV537 @ SV1209 @ SV108 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3302,plain,
! [SV1410: $i,SV1358: $i,SV1210: $i,SV922: $i,SV538: $i,SV109: $i] :
( ( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SV538 @ SV922 @ SV1210 ) @ SV1358 @ SV1410 @ SV1210 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SV1358 @ SV1410 @ SV1210 ) @ SV538 @ SV922 @ SV1210 ) )
| ( SV538 = SV1358 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3065]) ).
thf(3303,plain,
! [SV110: $i,SV539: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV539 @ SV110 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV539 @ SV110 ) @ SV110 )
= $true )
| ( ( class_Orderings_Olinorder @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3066]) ).
thf(3304,plain,
! [SV112: $i,SV924: $i,SV541: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV541 @ SV924 @ SV112 )
= $true )
| ( ( ( SV924 = SV541 )
| ~ ( c_lessequals @ SV541 @ SV924 @ SV112 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3067]) ).
thf(3305,plain,
! [SV113: $i,SV925: $i,SV542: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV542 @ SV925 @ SV113 )
= $true )
| ( ( ~ ( c_lessequals @ SV542 @ SV925 @ SV113 )
| ( SV925 = SV542 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3068]) ).
thf(3306,plain,
! [SV926: $i,SV543: $i,SV114: $i] :
( ( ( c_lessequals @ SV114 @ SV543 @ ( tc_fun @ SV926 @ tc_bool ) )
= $false )
| ( ( SV114 = SV543 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV114 @ SV543 @ ( tc_fun @ SV926 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3069]) ).
thf(3307,plain,
! [SV115: $i,SV927: $i,SV544: $i] :
( ( ( SV544 = SV927 )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV544 @ SV927 @ SV115 )
| ~ ( c_lessequals @ SV544 @ SV927 @ SV115 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3070]) ).
thf(3308,plain,
! [SV116: $i,SV928: $i,SV545: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV545 @ SV928 @ SV116 )
= $true )
| ( ( ( SV545 = SV928 )
| ~ ( c_lessequals @ SV545 @ SV928 @ SV116 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3071]) ).
thf(3309,plain,
! [SV929: $i,SV546: $i,SV117: $i] :
( ( ( c_lessequals @ SV117 @ SV546 @ ( tc_fun @ SV929 @ tc_bool ) )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV117 @ SV546 @ ( tc_fun @ SV929 @ tc_bool ) )
= $true )
| ( ( SV117 = SV546 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3072]) ).
thf(3310,plain,
! [SV118: $i,SV930: $i,SV547: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV547 @ SV930 @ SV118 )
= $true )
| ( ( ( SV547 = SV930 )
| ~ ( c_lessequals @ SV547 @ SV930 @ SV118 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3073]) ).
thf(3311,plain,
! [SV119: $i,SV931: $i,SV548: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV548 @ SV931 @ SV119 )
= $true )
| ( ( ~ ( c_lessequals @ SV548 @ SV931 @ SV119 )
| ( SV548 = SV931 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3074]) ).
thf(3312,plain,
! [SV120: $i,SV932: $i,SV549: $i] :
( ( ( SV549 = SV932 )
= $true )
| ( ( ~ ( c_lessequals @ SV549 @ SV932 @ SV120 )
| ( c_HOL_Oord__class_Oless @ SV549 @ SV932 @ SV120 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3075]) ).
thf(3313,plain,
! [SV121: $i,SV933: $i,SV550: $i] :
( ( ( SV550 = SV933 )
= $true )
| ( ( ( c_HOL_Oord__class_Oless @ SV550 @ SV933 @ SV121 )
| ~ ( c_lessequals @ SV550 @ SV933 @ SV121 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3076]) ).
thf(3314,plain,
! [SV122: $i,SV934: $i,SV551: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV551 @ SV934 @ SV122 ) @ SV122 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV934 @ SV122 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3077]) ).
thf(3315,plain,
! [SV125: $i,SV936: $i,SV554: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV554 @ SV936 @ SV125 ) @ SV125 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV936 @ SV125 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3079]) ).
thf(3316,plain,
! [SV126: $i,SV937: $i,SV555: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV555 @ SV937 @ SV126 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV937 @ SV555 @ SV126 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3080]) ).
thf(3317,plain,
! [SV127: $i,SV938: $i,SV556: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV556 @ SV938 @ SV127 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV938 @ SV556 @ SV127 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3081]) ).
thf(3318,plain,
! [SV128: $i,SV939: $i,SV557: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV557 @ SV939 @ SV128 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV939 @ SV557 @ SV128 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3082]) ).
thf(3319,plain,
! [SV129: $i,SV940: $i,SV558: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV558 @ SV940 @ SV129 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV940 @ SV558 @ SV129 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3083]) ).
thf(3320,plain,
! [SV130: $i,SV941: $i,SV559: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV559 @ SV941 @ SV130 ) @ SV130 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV559 @ SV941 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV559 @ SV941 @ SV130 ) @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV559 @ SV130 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3084]) ).
thf(3321,plain,
! [SV942: $i,SV131: $i,SV1212: $i,SV560: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV560 @ SV1212 @ SV131 ) @ ( c_List_Oset @ SV942 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV131 @ ( c_Event_Oknows @ SV560 @ SV942 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3085]) ).
thf(3322,plain,
! [SV133: $i,SV944: $i,SV562: $i,SV1213: $i] :
( ( ( ~ ( c_in @ SV1213 @ SV562 @ SV944 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV133 @ ( c_Set_Oinsert @ SV1213 @ SV562 @ SV944 ) @ ( tc_fun @ SV944 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV133 @ SV562 @ ( tc_fun @ SV944 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3087]) ).
thf(3323,plain,
! [SV134: $i,SV1214: $i,SV945: $i,SV563: $i] :
( ( ( ~ ( c_in @ SV563 @ SV945 @ SV1214 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV134 @ SV945 @ ( tc_fun @ SV1214 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV134 @ ( c_Set_Oinsert @ SV563 @ SV945 @ SV1214 ) @ ( tc_fun @ SV1214 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3088]) ).
thf(3324,plain,
! [SV1215: $i,SV946: $i,SV564: $i,SV135: $i] :
( ( ( c_in @ SV135 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV564 @ SV946 @ SV1215 ) @ SV1215 ) @ SV1215 )
= $false )
| ( ( c_in @ SV135 @ ( c_List_Oset @ SV946 @ SV1215 ) @ SV1215 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3325,plain,
! [SV947: $i,SV565: $i,SV1216: $i,SV136: $i] :
( ( ( ~ ( c_in @ SV136 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV1216 @ SV565 @ SV947 ) @ SV947 ) @ SV947 ) )
= $true )
| ( ( SV136 = SV1216 )
= $true )
| ( ( c_in @ SV136 @ ( c_List_Oset @ SV565 @ SV947 ) @ SV947 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3090]) ).
thf(3326,plain,
! [SV566: $i,SV1217: $i,SV948: $i,SV137: $i] :
( ( ( ~ ( c_in @ SV137 @ ( c_List_Oset @ SV948 @ SV1217 ) @ SV1217 ) )
= $true )
| ( ( SV137 = SV566 )
= $true )
| ( ( c_in @ SV137 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV566 @ SV948 @ SV1217 ) @ SV1217 ) @ SV1217 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3091]) ).
thf(3327,plain,
! [SV140: $i,SV569: $i,SV951: $i] :
( ( ( c_in @ SV951 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
= $false )
| ( ( ~ ( c_in @ SV140 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV951 @ SV569 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV140 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3092]) ).
thf(3328,plain,
! [SV570: $i,SV141: $i,SV1218: $i,SV952: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV952 @ SV1218 @ SV141 ) @ ( c_List_Oset @ SV570 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV141 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV570 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3093]) ).
thf(3329,plain,
! [SV142: $i,SV571: $i,SV953: $i] :
( ( ( c_lessequals @ SV953 @ ( c_Message_Osynth @ SV571 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( c_in @ SV142 @ ( c_Message_Osynth @ SV953 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV142 @ ( c_Message_Osynth @ SV571 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3094]) ).
thf(3330,plain,
! [SV956: $i,SV1220: $i,SV574: $i,SV145: $i] :
( ( ( hBOOL @ ( hAPP @ SV145 @ ( c_List_Osko__List__XtakeWhile__append2__1__1 @ SV145 @ SV574 @ SV1220 ) ) )
= $false )
| ( ( ( c_List_OtakeWhile @ SV145 @ ( c_List_Oappend @ SV574 @ SV956 @ SV1220 ) @ SV1220 )
= ( c_List_Oappend @ SV574 @ ( c_List_OtakeWhile @ SV145 @ SV956 @ SV1220 ) @ SV1220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3096]) ).
thf(3331,plain,
! [SV957: $i,SV146: $i,SV575: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV575 @ SV146 ) @ ( c_List_Oset @ SV957 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( SV575 = c_Message_Oagent_OSpy )
= $true )
| ( ( c_in @ SV146 @ ( c_Event_Oknows @ SV575 @ SV957 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3097]) ).
thf(3332,plain,
! [SV587: $i,SV964: $i,SV161: $i] :
( ( ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Olist_ONil @ SV964 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV161 @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV161 @ SV964 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV161 @ SV587 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3100]) ).
thf(3333,plain,
! [SV968: $i,SV169: $i,SV592: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV592 @ SV169 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV968 @ SV592 @ SV169 ) @ SV169 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3103]) ).
thf(3334,plain,
! [SV969: $i,SV170: $i,SV593: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV593 @ SV170 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV593 @ SV969 @ SV170 ) @ SV170 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV170 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3104]) ).
thf(3335,plain,
! [SV1225: $i,SV972: $i,SV596: $i,SV173: $i] :
( ( ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV596 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV173 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV972 @ SV1225 ) @ SV596 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3105]) ).
thf(3336,plain,
! [SV1226: $i,SV973: $i,SV597: $i,SV174: $i] :
( ( ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV597 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV174 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV973 @ SV1226 ) @ SV597 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3106]) ).
thf(3337,plain,
! [SV177: $i,SV976: $i,SV600: $i] :
( ( ( c_in @ SV600 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV976 ) ) ) @ tc_Message_Omsg )
= $false )
| ( ( ~ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV976 ) )
= $true )
| ( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV177 @ SV600 ) @ SV976 @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3338,plain,
! [SV1360: $i,SV1229: $i,SV977: $i,SV601: $i,SV178: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV178 ) )
= $true )
| ( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV601 @ SV977 @ SV1229 @ SV1360 @ SV178 )
= ( c_List_Olist_OCons @ SV977 @ SV1229 @ SV1360 ) )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV977 @ SV601 @ SV1229 @ SV1360 @ SV178 ) @ ( c_List_Oset @ SV1229 @ SV1360 ) @ SV1360 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3108]) ).
thf(3339,plain,
! [SV180: $i,SV979: $i,SV603: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV603 @ SV979 @ SV180 ) @ SV180 )
= $true )
| ( ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV603 @ SV979 @ SV180 ) @ ( c_List_Oset @ SV979 @ SV180 ) @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SV979 @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SV603 @ SV180 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV180 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3110]) ).
thf(3340,plain,
! [SV181: $i,SV980: $i,SV604: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV604 @ SV980 @ SV181 ) @ SV181 )
= $true )
| ( ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV604 @ SV980 @ SV181 ) @ ( c_List_Oset @ SV604 @ SV181 ) @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SV980 @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SV604 @ SV181 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3111]) ).
thf(3341,plain,
! [SV182: $i,SV981: $i,SV605: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV605 @ SV981 @ SV182 ) @ SV182 )
= $true )
| ( ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV605 @ SV981 @ SV182 ) @ ( c_List_Oset @ SV981 @ SV182 ) @ SV182 )
| ~ ( c_List_Olinorder__class_Osorted @ SV981 @ SV182 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3112]) ).
thf(3342,plain,
! [SV1361: $i,SV1231: $i,SV982: $i,SV606: $i,SV183: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV183 ) )
= $true )
| ( ( ~ ( c_in @ SV606 @ ( c_List_Oset @ SV982 @ SV1231 ) @ SV1231 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1361 @ SV606 @ SV982 @ SV1231 @ SV183 ) @ SV1231 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3113]) ).
thf(3343,plain,
! [SV1362: $i,SV1232: $i,SV983: $i,SV607: $i,SV184: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV184 ) )
= $true )
| ( ( ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV607 @ SV983 @ SV1232 @ SV1362 @ SV184 ) @ SV1362 )
| ~ ( c_List_Odistinct @ SV1232 @ SV1362 )
| ( c_in @ SV983 @ ( c_List_Oset @ SV1232 @ SV1362 ) @ SV1362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3114]) ).
thf(3344,plain,
! [SV1363: $i,SV1233: $i,SV985: $i,SV609: $i,SV186: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV186 ) )
= $true )
| ( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV609 @ SV985 @ SV1233 @ SV1363 @ SV186 )
= ( c_List_Olist_OCons @ SV985 @ SV1233 @ SV1363 ) )
| ~ ( c_lessequals @ ( hAPP @ SV609 @ SV985 ) @ ( hAPP @ SV609 @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV985 @ SV609 @ SV1233 @ SV1363 @ SV186 ) ) @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3115]) ).
thf(3345,plain,
! [SV192: $i,SV988: $i,SV615: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV615 @ SV988 @ SV192 ) @ SV192 )
= $true )
| ( ( ~ ( c_lessequals @ SV615 @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV615 @ SV988 @ SV192 ) @ SV192 )
| ~ ( c_List_Olinorder__class_Osorted @ SV988 @ SV192 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3117]) ).
thf(3346,plain,
! [SV990: $i,SV1236: $i,SV617: $i,SV194: $i] :
( ( ( c_in @ SV194 @ ( c_List_Oset @ SV617 @ SV1236 ) @ SV1236 )
= $false )
| ( ( ( c_List_Oremove1 @ SV194 @ ( c_List_Oappend @ SV617 @ SV990 @ SV1236 ) @ SV1236 )
= ( c_List_Oappend @ ( c_List_Oremove1 @ SV194 @ SV617 @ SV1236 ) @ SV990 @ SV1236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3118]) ).
thf(3347,plain,
! [SV1364: $i,SV1237: $i,SV991: $i,SV618: $i,SV195: $i] :
( ( ( ( c_List_OdropWhile @ SV195 @ ( c_List_Oappend @ SV618 @ SV991 @ SV1237 ) @ SV1237 )
= ( c_List_Oappend @ ( c_List_OdropWhile @ SV195 @ SV618 @ SV1237 ) @ SV991 @ SV1237 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV195 @ SV1364 ) )
| ~ ( c_in @ SV1364 @ ( c_List_Oset @ SV618 @ SV1237 ) @ SV1237 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3119]) ).
thf(3348,plain,
! [SV1365: $i,SV1239: $i,SV993: $i,SV620: $i,SV197: $i] :
( ( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV197 @ SV620 @ SV993 @ SV1239 ) @ SV1239 ) @ SV1365 @ ( tc_fun @ SV1239 @ tc_bool ) )
= $true )
| ( ( ~ ( c_in @ SV993 @ SV1365 @ SV1239 )
| ~ ( c_lessequals @ ( c_List_Oset @ SV197 @ SV1239 ) @ SV1365 @ ( tc_fun @ SV1239 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3121]) ).
thf(3349,plain,
! [SV622: $i,SV995: $i,SV1240: $i,SV199: $i] :
( ( ( c_in @ SV199 @ ( c_List_Oset @ SV1240 @ SV995 ) @ SV995 )
= $false )
| ( ( ( c_List_Olist__inter @ ( c_List_Olist_OCons @ SV199 @ SV622 @ SV995 ) @ SV1240 @ SV995 )
= ( c_List_Olist_OCons @ SV199 @ ( c_List_Olist__inter @ SV622 @ SV1240 @ SV995 ) @ SV995 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3123]) ).
thf(3350,plain,
! [SV998: $i,SV625: $i,SV202: $i] :
( ( ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV202 @ SV625 @ SV998 ) @ SV998 )
= $false )
| ( ( c_in @ SV202 @ ( c_List_Oset @ SV625 @ SV998 ) @ SV998 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3126]) ).
thf(3351,plain,
! [SV204: $i,SV1000: $i,SV627: $i] :
( ( ( c_List_Odistinct @ SV627 @ SV1000 )
= $false )
| ( ( c_in @ SV204 @ ( c_List_Oset @ SV627 @ SV1000 ) @ SV1000 )
= $true )
| ( ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV204 @ SV627 @ SV1000 ) @ SV1000 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3127]) ).
thf(3352,plain,
! [SV628: $i,SV1242: $i,SV1001: $i,SV205: $i] :
( ( ( ~ ( c_lessequals @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) ) )
= $true )
| ( ( ( c_in @ SV628 @ SV205 @ SV1242 )
| ~ ( c_HOL_Oord__class_Oless @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV205 @ ( c_Set_Oinsert @ SV628 @ SV1001 @ SV1242 ) @ ( tc_fun @ SV1242 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3128]) ).
thf(3353,plain,
! [SV629: $i,SV1243: $i,SV1002: $i,SV206: $i] :
( ( ( ~ ( c_lessequals @ SV206 @ SV1002 @ ( tc_fun @ SV1243 @ tc_bool ) ) )
= $true )
| ( ( ( c_in @ SV629 @ SV206 @ SV1243 )
| ( c_in @ SV629 @ SV1002 @ SV1243 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV206 @ ( c_Set_Oinsert @ SV629 @ SV1002 @ SV1243 ) @ ( tc_fun @ SV1243 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3129]) ).
thf(3354,plain,
! [SV630: $i,SV1003: $i,SV207: $i,SV1244: $i] :
( ( ( c_in @ SV1244 @ SV207 @ SV1003 )
= $true )
| ( ( ( c_in @ SV1244 @ SV630 @ SV1003 )
| ~ ( c_HOL_Oord__class_Oless @ SV207 @ ( c_Set_Oinsert @ SV1244 @ SV630 @ SV1003 ) @ ( tc_fun @ SV1003 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV207 @ SV630 @ ( tc_fun @ SV1003 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3130]) ).
thf(3355,plain,
! [SV632: $i,SV209: $i,SV1245: $i,SV1005: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV1005 @ SV1245 @ SV209 ) @ ( c_List_Oset @ SV632 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV209 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV632 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3132]) ).
thf(3356,plain,
! [SV1006: $i,SV210: $i,SV633: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( ( c_in @ ( c_Event_Oevent_OSays @ SV633 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV633 @ SV210 @ SV1006 ) @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV633 = c_Message_Oagent_OSpy )
| ~ ( c_in @ SV210 @ ( c_Event_Oknows @ SV633 @ SV1006 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_ONotes @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV210 @ ( c_Event_OinitState @ SV633 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3133]) ).
thf(3357,plain,
! [SV636: $i,SV1009: $i,SV214: $i,SV1246: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV1246 @ SV214 @ SV1009 ) @ SV636 @ ( tc_fun @ SV1009 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV214 @ SV636 @ ( tc_fun @ SV1009 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3134]) ).
thf(3358,plain,
! [SV637: $i,SV1247: $i,SV1010: $i,SV215: $i] :
( ( ( c_lessequals @ SV215 @ SV1010 @ ( tc_fun @ SV1247 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV215 @ ( c_Set_Oinsert @ SV637 @ SV1010 @ SV1247 ) @ ( tc_fun @ SV1247 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3135]) ).
thf(3359,plain,
! [SV1012: $i,SV639: $i,SV1248: $i,SV217: $i] :
( ( ( SV217 = SV1248 )
= $true )
| ( ( ~ ( c_in @ SV217 @ ( c_Set_Oinsert @ SV1248 @ SV639 @ SV1012 ) @ SV1012 ) )
= $true )
| ( ( c_in @ SV217 @ SV639 @ SV1012 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3136]) ).
thf(3360,plain,
! [SV640: $i,SV1249: $i,SV1013: $i,SV218: $i] :
( ( ( c_in @ SV218 @ SV1013 @ SV1249 )
= $false )
| ( ( c_in @ SV218 @ ( c_Set_Oinsert @ SV640 @ SV1013 @ SV1249 ) @ SV1249 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3137]) ).
thf(3361,plain,
! [SV641: $i,SV1250: $i,SV1014: $i,SV219: $i] :
( ( ( c_in @ SV219 @ SV1014 @ SV1250 )
= $false )
| ( ( c_in @ SV219 @ ( c_Set_Oinsert @ SV641 @ SV1014 @ SV1250 ) @ SV1250 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3138]) ).
thf(3362,plain,
! [SV220: $i,SV1015: $i,SV1251: $i,SV642: $i] :
( ( ( c_lessequals @ SV642 @ SV1251 @ ( tc_fun @ SV1015 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV220 @ SV642 @ SV1015 ) @ ( c_Set_Oinsert @ SV220 @ SV1251 @ SV1015 ) @ ( tc_fun @ SV1015 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3139]) ).
thf(3363,plain,
! [SV1252: $i,SV1016: $i,SV643: $i,SV221: $i] :
( ( ( hBOOL @ ( hAPP @ SV221 @ SV643 ) )
= $false )
| ( ( ( c_List_OtakeWhile @ SV221 @ ( c_List_Olist_OCons @ SV643 @ SV1016 @ SV1252 ) @ SV1252 )
= ( c_List_Olist_OCons @ SV643 @ ( c_List_OtakeWhile @ SV221 @ SV1016 @ SV1252 ) @ SV1252 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3140]) ).
thf(3364,plain,
! [SV1017: $i,SV222: $i,SV644: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV644 @ SV222 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1017 @ SV644 @ SV222 ) @ SV222 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3141]) ).
thf(3365,plain,
! [SV1253: $i,SV1018: $i,SV645: $i,SV223: $i] :
( ( ( class_Orderings_Olinorder @ SV223 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1253 @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 ) @ SV223 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3142]) ).
thf(3366,plain,
! [SV1367: $i,SV1255: $i,SV1022: $i,SV649: $i,SV227: $i] :
( ( ( ~ ( class_HOL_Oord @ SV227 ) )
= $true )
| ( ( ( c_lessequals @ ( hAPP @ SV649 @ SV1022 ) @ ( hAPP @ SV1255 @ SV1022 ) @ SV227 )
| ~ ( c_lessequals @ SV649 @ SV1255 @ ( tc_fun @ SV1367 @ SV227 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3144]) ).
thf(3367,plain,
! [SV1256: $i,SV1023: $i,SV228: $i,SV650: $i] :
( ( ( c_in @ SV650 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SV228 @ SV1023 @ SV1256 ) @ SV1256 ) @ SV1256 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV228 @ SV650 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3145]) ).
thf(3368,plain,
! [SV1257: $i,SV1024: $i,SV652: $i,SV230: $i] :
( ( ( class_Orderings_Olinorder @ SV230 )
= $false )
| ( ( ( c_lessequals @ SV652 @ SV1024 @ SV230 )
| ~ ( c_in @ SV1024 @ ( c_List_Oset @ SV1257 @ SV230 ) @ SV230 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV652 @ SV1257 @ SV230 ) @ SV230 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3146]) ).
thf(3369,plain,
! [SV1025: $i,SV653: $i,SV1258: $i,SV231: $i] :
( ( ( c_in @ SV231 @ ( c_List_Oset @ ( c_List_OtakeWhile @ SV1258 @ SV653 @ SV1025 ) @ SV1025 ) @ SV1025 )
= $false )
| ( ( c_in @ SV231 @ ( c_List_Oset @ SV653 @ SV1025 ) @ SV1025 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3147]) ).
thf(3370,plain,
! [SV1027: $i,SV1259: $i,SV655: $i,SV233: $i] :
( ( ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ SV655 @ SV1259 ) @ SV1259 ) @ SV1259 )
= $false )
| ( ( c_in @ SV233 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SV655 @ SV1027 @ SV1259 ) @ SV1259 ) @ SV1259 ) @ SV1259 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3149]) ).
thf(3371,plain,
! [SV656: $i,SV1260: $i,SV1028: $i,SV234: $i] :
( ( ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ SV1028 @ SV1260 ) @ SV1260 ) @ SV1260 )
= $false )
| ( ( c_in @ SV234 @ ( c_List_Oset @ ( c_List_Obutlast @ ( c_List_Oappend @ SV656 @ SV1028 @ SV1260 ) @ SV1260 ) @ SV1260 ) @ SV1260 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3150]) ).
thf(3372,plain,
! [SV235: $i,SV1029: $i,SV657: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OtakeWhile @ SV657 @ SV1029 @ SV235 ) @ SV235 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1029 @ SV235 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3151]) ).
thf(3373,plain,
! [SV1411: $i,SV1368: $i,SV1261: $i,SV1030: $i,SV658: $i,SV236: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV236 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV658 @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SV1411 ) @ SV1411 @ SV236 )
= ( c_List_Olist_OCons @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SV1411 ) @ SV1411 ) )
| ~ ( c_lessequals @ ( hAPP @ SV658 @ SV1030 ) @ ( hAPP @ SV658 @ SV1261 ) @ SV236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3152]) ).
thf(3374,plain,
! [SV1031: $i,SV659: $i,SV1262: $i,SV237: $i] :
( ( ( ~ ( c_lessequals @ SV237 @ ( c_Set_Oinsert @ SV1262 @ SV659 @ SV1031 ) @ ( tc_fun @ SV1031 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV1262 @ SV237 @ SV1031 )
= $true )
| ( ( c_lessequals @ SV237 @ SV659 @ ( tc_fun @ SV1031 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3153]) ).
thf(3375,plain,
! [SV660: $i,SV1263: $i,SV1032: $i,SV238: $i] :
( ( ( ~ ( c_lessequals @ SV238 @ SV1032 @ ( tc_fun @ SV1263 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV660 @ SV238 @ SV1263 )
= $true )
| ( ( c_lessequals @ SV238 @ ( c_Set_Oinsert @ SV660 @ SV1032 @ SV1263 ) @ ( tc_fun @ SV1263 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3154]) ).
thf(3376,plain,
! [SV661: $i,SV1033: $i,SV239: $i,SV1264: $i] :
( ( ( c_in @ SV1264 @ SV239 @ SV1033 )
= $true )
| ( ( ~ ( c_lessequals @ SV239 @ ( c_Set_Oinsert @ SV1264 @ SV661 @ SV1033 ) @ ( tc_fun @ SV1033 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV239 @ SV661 @ ( tc_fun @ SV1033 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3155]) ).
thf(3377,plain,
! [SV662: $i,SV1265: $i,SV1034: $i,SV240: $i] :
( ( ( ~ ( c_lessequals @ SV240 @ SV1034 @ ( tc_fun @ SV1265 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV662 @ SV240 @ SV1265 )
= $true )
| ( ( c_lessequals @ SV240 @ ( c_Set_Oinsert @ SV662 @ SV1034 @ SV1265 ) @ ( tc_fun @ SV1265 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3156]) ).
thf(3378,plain,
! [SV664: $i,SV1035: $i,SV1266: $i,SV242: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV242 @ SV1266 @ SV1035 ) @ SV664 @ ( tc_fun @ SV1035 @ tc_bool ) )
= $false )
| ( ( c_in @ SV242 @ SV664 @ SV1035 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3157]) ).
thf(3379,plain,
! [SV1369: $i,SV1267: $i,SV1036: $i,SV665: $i,SV243: $i] :
( ( ( hBOOL @ ( hAPP @ SV243 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ ( c_List_Oappend @ SV665 @ ( c_List_Olist_OCons @ SV1036 @ SV1267 @ SV1369 ) @ SV1369 ) @ SV1369 ) ) )
= $true )
| ( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ SV665 @ SV1369 ) @ ( c_List_Oset @ SV665 @ SV1369 ) @ SV1369 )
| ~ ( hBOOL @ ( hAPP @ SV243 @ SV1036 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3158]) ).
thf(3380,plain,
! [SV1370: $i,SV1268: $i,SV1037: $i,SV666: $i,SV244: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV244 ) )
= $true )
| ( ( ( c_lessequals @ SV666 @ SV1037 @ SV244 )
| ~ ( c_in @ SV1037 @ ( c_List_Oset @ SV1268 @ SV244 ) @ SV244 )
| ~ ( c_in @ SV666 @ ( c_List_Oset @ SV1370 @ SV244 ) @ SV244 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1370 @ SV1268 @ SV244 ) @ SV244 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3159]) ).
thf(3381,plain,
! [SV1038: $i,SV667: $i,SV1269: $i,SV245: $i] :
( ( ( SV245 = SV1269 )
= $true )
| ( ( ~ ( c_in @ SV245 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1269 @ SV667 @ SV1038 ) @ SV1038 ) @ SV1038 ) )
= $true )
| ( ( c_in @ SV245 @ ( c_List_Oset @ SV667 @ SV1038 ) @ SV1038 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3160]) ).
thf(3382,plain,
! [SV1371: $i,SV1270: $i,SV1039: $i,SV668: $i,SV246: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SV1270 @ SV1371 ) @ SV1371 ) @ SV1371 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SV1270 @ SV1371 ) @ SV1371 ) @ SV1371 ) @ SV1371 )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV246 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ SV1270 @ SV1371 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV246 @ SV1039 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3161]) ).
thf(3383,plain,
! [SV252: $i,SV674: $i,SV1042: $i] :
( ( ( c_in @ SV1042 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
= $false )
| ( ( ~ ( c_in @ SV252 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1042 @ SV674 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV252 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3164]) ).
thf(3384,plain,
! [SV1372: $i,SV1271: $i,SV1043: $i,SV679: $i,SV257: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SV1271 @ SV1372 ) @ SV1372 ) @ SV1372 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SV1271 @ SV1372 ) @ SV1372 ) @ SV1372 ) @ SV1372 )
= $true )
| ( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ SV679 @ SV1372 ) @ ( c_List_Oset @ SV679 @ SV1372 ) @ SV1372 )
| ~ ( hBOOL @ ( hAPP @ SV257 @ SV1043 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3165]) ).
thf(3385,plain,
! [SV1373: $i,SV1272: $i,SV1045: $i,SV682: $i,SV260: $i] :
( ( ( ( c_List_OtakeWhile @ SV260 @ ( c_List_Oappend @ SV682 @ SV1045 @ SV1272 ) @ SV1272 )
= ( c_List_OtakeWhile @ SV260 @ SV682 @ SV1272 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV260 @ SV1373 ) )
| ~ ( c_in @ SV1373 @ ( c_List_Oset @ SV682 @ SV1272 ) @ SV1272 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3166]) ).
thf(3386,plain,
! [SV261: $i,SV683: $i,SV1046: $i] :
( ( ( c_lessequals @ SV1046 @ ( c_Message_Oanalz @ SV683 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( c_in @ SV261 @ ( c_Message_Oanalz @ SV1046 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV261 @ ( c_Message_Oanalz @ SV683 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3167]) ).
thf(3387,plain,
! [SV1412: $i,SV1374: $i,SV1273: $i,SV1047: $i,SV686: $i,SV265: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV265 )
| ( ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ ( c_List_Olist_OCons @ SV1273 @ SV1374 @ SV1412 ) @ SV1412 @ SV265 )
= ( c_List_Olist_OCons @ SV1273 @ ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ SV1374 @ SV1412 @ SV265 ) @ SV1412 ) )
| ( c_lessequals @ ( hAPP @ SV686 @ SV1047 ) @ ( hAPP @ SV686 @ SV1273 ) @ SV265 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3168]) ).
thf(3388,plain,
! [SV1049: $i,SV268: $i,SV689: $i] :
( ( ( c_lessequals @ SV689 @ SV268 @ ( tc_fun @ SV1049 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV268 @ SV689 @ ( tc_fun @ SV1049 @ tc_bool ) ) )
= $true )
| ( ( SV268 = SV689 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3170]) ).
thf(3389,plain,
! [SV1050: $i,SV269: $i,SV690: $i] :
( ( ( c_lessequals @ SV690 @ SV269 @ ( tc_fun @ SV1050 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV269 @ SV690 @ ( tc_fun @ SV1050 @ tc_bool ) ) )
= $true )
| ( ( SV269 = SV690 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3390,plain,
! [SV270: $i,SV1051: $i,SV691: $i] :
( ( ( SV691 = SV1051 )
= $true )
| ( ( ~ ( c_lessequals @ SV1051 @ SV691 @ SV270 )
| ~ ( c_lessequals @ SV691 @ SV1051 @ SV270 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3172]) ).
thf(3391,plain,
! [SV271: $i,SV1052: $i,SV692: $i] :
( ( ( SV692 = SV1052 )
= $true )
| ( ( ~ ( c_lessequals @ SV1052 @ SV692 @ SV271 )
| ~ ( c_lessequals @ SV692 @ SV1052 @ SV271 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3173]) ).
thf(3392,plain,
! [SV272: $i,SV1053: $i,SV693: $i] :
( ( ( SV693 = SV1053 )
= $true )
| ( ( ~ ( c_lessequals @ SV693 @ SV1053 @ SV272 )
| ~ ( c_lessequals @ SV1053 @ SV693 @ SV272 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3174]) ).
thf(3393,plain,
! [SV1275: $i,SV694: $i,SV1054: $i,SV273: $i] :
( ( ( c_in @ SV273 @ ( c_List_Oset @ ( c_List_Oreplicate @ SV1054 @ SV694 @ SV1275 ) @ SV1275 ) @ SV1275 )
= $false )
| ( ( SV273 = SV694 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3175]) ).
thf(3394,plain,
! [SV1375: $i,SV1276: $i,SV1055: $i,SV696: $i,SV275: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV275 ) )
= $true )
| ( ( ( c_List_Oset @ ( c_List_Olinorder__class_Oinsort__key @ SV696 @ SV1055 @ SV1276 @ SV1375 @ SV275 ) @ SV1375 )
= ( c_Set_Oinsert @ SV1055 @ ( c_List_Oset @ SV1276 @ SV1375 ) @ SV1375 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3176]) ).
thf(3395,plain,
! [SV1277: $i,SV1056: $i,SV697: $i,SV276: $i] :
( ( ( class_Orderings_Olinorder @ SV276 )
= $false )
| ( ( ( c_lessequals @ SV697 @ SV1056 @ SV276 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV697 @ ( c_List_Olist_OCons @ SV1056 @ SV1277 @ SV276 ) @ SV276 ) @ SV276 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3177]) ).
thf(3396,plain,
! [SV278: $i,SV699: $i,SV1058: $i] :
( ( ( c_lessequals @ SV1058 @ SV699 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( c_in @ SV278 @ ( c_Message_Oanalz @ SV1058 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV278 @ SV699 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV699 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3178]) ).
thf(3397,plain,
! [SV279: $i,SV1059: $i,SV1278: $i,SV700: $i] :
( ( ( ~ ( c_lessequals @ SV700 @ SV1278 @ ( tc_fun @ SV1059 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_in @ SV279 @ SV1278 @ SV1059 ) )
= $true )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV279 @ SV700 @ SV1059 ) @ SV1278 @ ( tc_fun @ SV1059 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3179]) ).
thf(3398,plain,
! [SV1376: $i,SV1279: $i,SV1060: $i,SV702: $i,SV281: $i] :
( ( ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ ( c_List_Oappend @ SV702 @ ( c_List_Olist_OCons @ SV1060 @ SV1279 @ SV1376 ) @ SV1376 ) @ SV1376 ) ) )
= $true )
| ( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ SV1279 @ SV1376 ) @ ( c_List_Oset @ SV1279 @ SV1376 ) @ SV1376 )
| ~ ( hBOOL @ ( hAPP @ SV281 @ SV1060 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3180]) ).
thf(3399,plain,
! [SV1280: $i,SV1061: $i,SV703: $i,SV282: $i] :
( ( ( class_Orderings_Olinorder @ SV282 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV703 @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 ) @ SV282 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 )
| ~ ( c_lessequals @ SV703 @ SV1061 @ SV282 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3181]) ).
thf(3400,plain,
! [SV1377: $i,SV1281: $i,SV1062: $i,SV704: $i,SV283: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SV1281 @ SV1377 ) @ SV1377 ) @ SV1377 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SV1281 @ SV1377 ) @ SV1377 ) @ SV1377 ) @ SV1377 )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV283 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ SV704 @ SV1377 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV283 @ SV1062 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3182]) ).
thf(3401,plain,
! [SV1282: $i,SV1063: $i,SV705: $i,SV284: $i] :
( ( ( class_Orderings_Oorder @ SV284 )
= $false )
| ( ( ( c_lessequals @ SV705 @ SV1063 @ SV284 )
| ~ ( c_lessequals @ SV705 @ SV1282 @ SV284 )
| ~ ( c_lessequals @ SV1282 @ SV1063 @ SV284 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3183]) ).
thf(3402,plain,
! [SV1283: $i,SV1064: $i,SV706: $i,SV285: $i] :
( ( ( class_Orderings_Opreorder @ SV285 )
= $false )
| ( ( ( c_lessequals @ SV706 @ SV1064 @ SV285 )
| ~ ( c_lessequals @ SV1283 @ SV1064 @ SV285 )
| ~ ( c_lessequals @ SV706 @ SV1283 @ SV285 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3184]) ).
thf(3403,plain,
! [SV707: $i,SV1065: $i,SV1284: $i,SV286: $i] :
( ( ( ~ ( c_in @ SV286 @ SV1284 @ SV1065 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1284 @ SV707 @ ( tc_fun @ SV1065 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV286 @ SV707 @ SV1065 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3185]) ).
thf(3404,plain,
! [SV708: $i,SV1066: $i,SV1285: $i,SV287: $i] :
( ( ( ~ ( c_in @ SV287 @ SV1285 @ SV1066 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1285 @ SV708 @ ( tc_fun @ SV1066 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV287 @ SV708 @ SV1066 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3186]) ).
thf(3405,plain,
! [SV289: $i,SV1067: $i,SV710: $i,SV1286: $i] :
( ( ( ~ ( c_lessequals @ SV1286 @ SV710 @ ( tc_fun @ SV1067 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_in @ SV289 @ SV1286 @ SV1067 ) )
= $true )
| ( ( c_in @ SV289 @ SV710 @ SV1067 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3187]) ).
thf(3406,plain,
! [SV711: $i,SV1068: $i,SV1287: $i,SV290: $i] :
( ( ( ~ ( c_in @ SV290 @ SV1287 @ SV1068 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1287 @ SV711 @ ( tc_fun @ SV1068 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV290 @ SV711 @ SV1068 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3188]) ).
thf(3407,plain,
! [SV292: $i,SV1069: $i,SV713: $i,SV1288: $i] :
( ( ( ~ ( c_lessequals @ SV1288 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV292 @ SV1288 @ ( tc_fun @ SV1069 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV292 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3189]) ).
thf(3408,plain,
! [SV1289: $i,SV293: $i,SV714: $i,SV1070: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV1070 @ SV714 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1070 @ SV293 @ ( tc_fun @ SV1289 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV293 @ SV714 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3190]) ).
thf(3409,plain,
! [SV717: $i,SV1290: $i,SV296: $i,SV1071: $i] :
( ( ( ~ ( c_lessequals @ SV1071 @ SV296 @ ( tc_fun @ SV1290 @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1071 @ SV717 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV296 @ SV717 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3191]) ).
thf(3410,plain,
! [SV1378: $i,SV1291: $i,SV1073: $i,SV720: $i,SV299: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SV1291 @ SV1378 ) @ SV1378 ) @ SV1378 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SV1291 @ SV1378 ) @ SV1378 ) @ SV1378 ) @ SV1378 )
= $true )
| ( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ SV1291 @ SV1378 ) @ ( c_List_Oset @ SV1291 @ SV1378 ) @ SV1378 )
| ~ ( hBOOL @ ( hAPP @ SV299 @ SV1073 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3193]) ).
thf(3411,plain,
! [SV302: $i,SV1074: $i,SV722: $i] :
( ( ( c_lessequals @ SV722 @ SV1074 @ SV302 )
= $true )
| ( ( c_lessequals @ SV1074 @ SV722 @ SV302 )
= $true )
| ( ( class_Orderings_Olinorder @ SV302 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3194]) ).
thf(3412,plain,
! [SV723: $i,SV1075: $i,SV303: $i] :
( ( ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Oappend @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV303 @ SV1075 ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__induct__1__1 @ SV303 @ SV1075 ) @ ( c_List_Olist_ONil @ SV1075 ) @ SV1075 ) @ SV1075 ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ SV1075 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV303 @ SV723 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3195]) ).
thf(3413,plain,
! [SV1292: $i,SV1079: $i,SV729: $i,SV309: $i] :
( ( ( class_Orderings_Olinorder @ SV309 )
= $false )
| ( ( ( c_List_Olinorder__class_Oinsort__key @ SV729 @ SV1079 @ ( c_List_Olist_ONil @ SV1292 ) @ SV1292 @ SV309 )
= ( c_List_Olist_OCons @ SV1079 @ ( c_List_Olist_ONil @ SV1292 ) @ SV1292 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3196]) ).
thf(3414,plain,
! [SV1379: $i,SV1295: $i,SV1085: $i,SV740: $i,SV320: $i] :
( ( ( ( c_List_OtakeWhile @ SV320 @ ( c_List_Oappend @ SV740 @ ( c_List_Olist_OCons @ SV1085 @ SV1295 @ SV1379 ) @ SV1379 ) @ SV1379 )
= ( c_List_OtakeWhile @ SV320 @ SV740 @ SV1379 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV320 @ SV1085 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3198]) ).
thf(3415,plain,
! [SV1380: $i,SV1296: $i,SV1086: $i,SV741: $i,SV321: $i] :
( ( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ ( c_List_Oappend @ SV741 @ ( c_List_Olist_OCons @ SV1086 @ SV1296 @ SV1380 ) @ SV1380 ) @ SV1380 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ SV741 @ SV1380 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV321 @ SV1086 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3199]) ).
thf(3416,plain,
! [SV1382: $i,SV1298: $i,SV1088: $i,SV743: $i,SV323: $i] :
( ( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ ( c_List_Oappend @ SV743 @ ( c_List_Olist_OCons @ SV1088 @ SV1298 @ SV1382 ) @ SV1382 ) @ SV1382 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ SV1298 @ SV1382 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV323 @ SV1088 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3201]) ).
thf(3417,plain,
! [SV1383: $i,SV1299: $i,SV1093: $i,SV751: $i,SV331: $i] :
( ( ( ~ ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV751 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1093 @ SV1299 @ SV1383 ) @ SV751 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3202]) ).
thf(3418,plain,
! [SV1308: $i,SV354: $i,SV772: $i,SV1114: $i] :
( ( ( SV1114 = SV772 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1114 @ SV354 @ SV1308 ) @ SV772 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV354 @ SV772 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3204]) ).
thf(3419,plain,
! [SV1119: $i,SV364: $i,SV1312: $i,SV782: $i] :
( ( ( hBOOL @ ( hAPP @ SV782 @ SV1312 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV364 @ SV782 @ SV1119 ) @ SV1312 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3205]) ).
thf(3420,plain,
! [SV1315: $i,SV1124: $i,SV791: $i,SV374: $i] :
( ( ( ( c_List_Oappend @ SV374 @ SV791 @ SV1124 )
= ( c_List_Oappend @ SV374 @ SV1315 @ SV1124 ) )
= $false )
| ( ( SV791 = SV1315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3207]) ).
thf(3421,plain,
! [SV1385: $i,SV1317: $i,SV1128: $i,SV795: $i,SV378: $i] :
( ( ( ( c_List_Olist_OCons @ SV378 @ SV795 @ SV1128 )
!= ( c_List_Olist_OCons @ SV1317 @ SV1385 @ SV1128 ) )
= $true )
| ( ( SV795 = SV1385 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3211]) ).
thf(3422,plain,
! [SV1386: $i,SV1318: $i,SV1129: $i,SV796: $i,SV379: $i] :
( ( ( c_Event_Oevent_OSays @ SV379 @ SV796 @ SV1129 )
= ( c_Event_Oevent_OGets @ SV1318 @ SV1386 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3212]) ).
thf(3423,plain,
! [SV1387: $i,SV1319: $i,SV1130: $i,SV797: $i,SV380: $i] :
( ( ( ( c_List_Ofilter @ SV380 @ SV797 @ SV1130 )
!= ( c_List_Olist_OCons @ SV1319 @ SV1387 @ SV1130 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV380 @ SV1319 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3213]) ).
thf(3424,plain,
! [SV1320: $i,SV1131: $i,SV798: $i,SV381: $i] :
( ( ( ( c_List_Ofilter @ SV381 @ SV798 @ SV1131 )
= SV798 )
= $false )
| ( ( ( hBOOL @ ( hAPP @ SV381 @ SV1320 ) )
| ~ ( c_in @ SV1320 @ ( c_List_Oset @ SV798 @ SV1131 ) @ SV1131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3425,plain,
! [SV1388: $i,SV1321: $i,SV1133: $i,SV801: $i,SV384: $i] :
( ( ( ( c_List_Olist_OCons @ SV384 @ SV801 @ SV1133 )
!= ( c_List_Ofilter @ SV1321 @ SV1388 @ SV1133 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV1321 @ SV384 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3216]) ).
thf(3426,plain,
! [SV1135: $i,SV386: $i,SV803: $i] :
( ( ( ( c_List_Oset @ SV803 @ SV386 )
!= ( c_List_Oset @ SV1135 @ SV386 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV1135 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
| ~ ( c_List_Odistinct @ SV803 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV386 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3218]) ).
thf(3427,plain,
! [SV1389: $i,SV1323: $i,SV1136: $i,SV804: $i,SV387: $i] :
( ( ( c_Event_Oevent_ONotes @ SV387 @ SV804 )
= ( c_Event_Oevent_OSays @ SV1136 @ SV1323 @ SV1389 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3219]) ).
thf(3428,plain,
! [SV1324: $i,SV1137: $i,SV805: $i,SV388: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV388 @ SV805 )
= ( c_Message_Omsg_OCrypt @ SV1137 @ SV1324 ) )
= $false )
| ( ( SV388 = SV1137 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3220]) ).
thf(3429,plain,
! [SV1390: $i,SV1325: $i,SV1138: $i,SV806: $i,SV389: $i] :
( ( ( c_Event_Oevent_OGets @ SV389 @ SV806 )
= ( c_Event_Oevent_OSays @ SV1138 @ SV1325 @ SV1390 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3221]) ).
thf(3430,plain,
! [SV1391: $i,SV1326: $i,SV1139: $i,SV808: $i,SV391: $i] :
( ( ( ( c_List_Olist_OCons @ SV391 @ SV808 @ SV1139 )
!= ( c_List_Oappend @ SV1326 @ SV1391 @ SV1139 ) )
= $true )
| ( ( ( SV808
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV391 @ SV808 @ SV1326 @ SV1391 @ SV1139 ) @ SV1391 @ SV1139 ) )
| ( SV1326
= ( c_List_Olist_ONil @ SV1139 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3222]) ).
thf(3431,plain,
! [SV1392: $i,SV1327: $i,SV1140: $i,SV809: $i,SV392: $i] :
( ( ( ( c_List_Oappend @ SV392 @ ( c_List_Olist_OCons @ SV809 @ ( c_List_Olist_ONil @ SV1140 ) @ SV1140 ) @ SV1140 )
!= ( c_List_Oappend @ SV1327 @ ( c_List_Olist_OCons @ SV1392 @ ( c_List_Olist_ONil @ SV1140 ) @ SV1140 ) @ SV1140 ) )
= $true )
| ( ( SV809 = SV1392 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3223]) ).
thf(3432,plain,
! [SV1413: $i,SV1393: $i,SV1328: $i,SV1141: $i,SV810: $i,SV393: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV393 @ SV810 @ SV1141 )
!= ( c_Event_Oevent_OSays @ SV1328 @ SV1393 @ SV1413 ) )
| ( SV1141 = SV1413 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3224]) ).
thf(3433,plain,
! [SV1394: $i,SV1329: $i,SV1142: $i,SV811: $i,SV394: $i] :
( ( ( ( c_List_Oappend @ SV394 @ SV811 @ SV1142 )
!= ( c_List_Olist_OCons @ SV1329 @ SV1394 @ SV1142 ) )
= $true )
| ( ( ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1329 @ SV1394 @ SV394 @ SV811 @ SV1142 ) @ SV811 @ SV1142 )
= SV1394 )
| ( SV811
= ( c_List_Olist_OCons @ SV1329 @ SV1394 @ SV1142 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3225]) ).
thf(3434,plain,
! [SV1330: $i,SV1143: $i,SV812: $i,SV395: $i] :
( ( ( ( c_List_Olist__update @ SV395 @ SV812 @ SV1143 @ SV1330 )
= ( c_List_Olist_ONil @ SV1330 ) )
= $false )
| ( ( SV395
= ( c_List_Olist_ONil @ SV1330 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3435,plain,
! [SV1395: $i,SV1331: $i,SV1144: $i,SV813: $i,SV396: $i] :
( ( ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
!= ( c_List_Oappend @ SV1331 @ SV1395 @ SV1144 ) )
= $true )
| ( ( ( ( c_List_Olist_OCons @ SV396 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV396 @ SV813 @ SV1331 @ SV1395 @ SV1144 ) @ SV1144 )
= SV1331 )
| ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
= SV1395 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3227]) ).
thf(3436,plain,
! [SV1332: $i,SV1146: $i,SV815: $i,SV398: $i] :
( ( ( ( c_List_Ofilter @ SV398 @ SV815 @ SV1146 )
= ( c_List_Olist_ONil @ SV1146 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV398 @ SV1332 ) )
| ~ ( c_in @ SV1332 @ ( c_List_Oset @ SV815 @ SV1146 ) @ SV1146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3229]) ).
thf(3437,plain,
! [SV1396: $i,SV1333: $i,SV1147: $i,SV816: $i,SV399: $i] :
( ( ( ( c_List_Oreplicate @ SV399 @ SV816 @ SV1147 )
!= ( c_List_Oreplicate @ SV1333 @ SV1396 @ SV1147 ) )
= $true )
| ( ( SV399 = SV1333 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3230]) ).
thf(3438,plain,
! [SV1397: $i,SV1334: $i,SV1148: $i,SV817: $i,SV400: $i] :
( ( ( ( c_List_Olist_OCons @ SV400 @ SV817 @ SV1148 )
!= ( c_List_Oappend @ SV1334 @ SV1397 @ SV1148 ) )
= $true )
| ( ( ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV400 @ SV817 @ SV1334 @ SV1397 @ SV1148 ) @ SV1148 )
= SV1334 )
| ( SV1334
= ( c_List_Olist_ONil @ SV1148 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3231]) ).
thf(3439,plain,
! [SV1398: $i,SV1335: $i,SV1149: $i,SV818: $i,SV401: $i] :
( ( ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
!= ( c_List_Oappend @ SV1335 @ SV1398 @ SV1149 ) )
= $true )
| ( ( ( SV818
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV401 @ SV818 @ SV1335 @ SV1398 @ SV1149 ) @ SV1398 @ SV1149 ) )
| ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
= SV1398 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3232]) ).
thf(3440,plain,
! [SV1399: $i,SV1336: $i,SV1150: $i,SV819: $i,SV402: $i] :
( ( ( c_Event_Oevent_OSays @ SV402 @ SV819 @ SV1150 )
= ( c_Event_Oevent_ONotes @ SV1336 @ SV1399 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3233]) ).
thf(3441,plain,
! [SV1337: $i,SV1152: $i,SV821: $i,SV404: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV404 @ SV821 )
= ( c_Event_Oevent_ONotes @ SV1152 @ SV1337 ) )
= $false )
| ( ( SV404 = SV1152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3235]) ).
thf(3442,plain,
! [SV1338: $i,SV1153: $i,SV822: $i,SV405: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV405 @ SV822 )
= ( c_Event_Oevent_OGets @ SV1153 @ SV1338 ) )
= $false )
| ( ( SV405 = SV1153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3236]) ).
thf(3443,plain,
! [SV1414: $i,SV1400: $i,SV1339: $i,SV1154: $i,SV823: $i,SV406: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV406 @ SV823 @ SV1154 )
!= ( c_Event_Oevent_OSays @ SV1339 @ SV1400 @ SV1414 ) )
| ( SV823 = SV1400 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3237]) ).
thf(3444,plain,
! [SV1415: $i,SV1401: $i,SV1340: $i,SV1155: $i,SV826: $i,SV409: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV409 @ SV826 @ SV1155 )
!= ( c_Event_Oevent_OSays @ SV1340 @ SV1401 @ SV1415 ) )
| ( SV409 = SV1340 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3238]) ).
thf(3445,plain,
! [SV1402: $i,SV1341: $i,SV1156: $i,SV827: $i,SV410: $i] :
( ( ( ( c_List_OdropWhile @ SV410 @ SV827 @ SV1156 )
!= ( c_List_Olist_OCons @ SV1341 @ SV1402 @ SV1156 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV410 @ SV1341 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3239]) ).
thf(3446,plain,
! [SV1342: $i,SV1157: $i,SV828: $i,SV411: $i] :
( ( ( ( c_List_Oappend @ SV411 @ SV828 @ SV1157 )
= ( c_List_Oappend @ SV1342 @ SV828 @ SV1157 ) )
= $false )
| ( ( SV411 = SV1342 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3240]) ).
thf(3447,plain,
! [SV1343: $i,SV1161: $i,SV832: $i,SV415: $i] :
( ( ( ( c_List_OtakeWhile @ SV415 @ SV832 @ SV1161 )
= SV832 )
= $false )
| ( ( ( hBOOL @ ( hAPP @ SV415 @ SV1343 ) )
| ~ ( c_in @ SV1343 @ ( c_List_Oset @ SV832 @ SV1161 ) @ SV1161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3242]) ).
thf(3448,plain,
! [SV1344: $i,SV1162: $i,SV833: $i,SV416: $i] :
( ( ( ( c_List_Orev @ SV416 @ SV833 )
= ( c_List_Olist_OCons @ SV1162 @ SV1344 @ SV833 ) )
= $false )
| ( ( SV416
= ( c_List_Oappend @ ( c_List_Orev @ SV1344 @ SV833 ) @ ( c_List_Olist_OCons @ SV1162 @ ( c_List_Olist_ONil @ SV833 ) @ SV833 ) @ SV833 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3449,plain,
! [SV1345: $i,SV1165: $i,SV837: $i,SV420: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV420 @ SV837 )
= ( c_Event_Oevent_ONotes @ SV1165 @ SV1345 ) )
= $false )
| ( ( SV837 = SV1345 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3245]) ).
thf(3450,plain,
! [SV1346: $i,SV1167: $i,SV839: $i,SV422: $i] :
( ( ( ( c_Set_Oinsert @ SV422 @ SV839 @ SV1167 )
= ( c_Set_Oinsert @ SV422 @ SV1346 @ SV1167 ) )
= $false )
| ( ( ( c_in @ SV422 @ SV1346 @ SV1167 )
| ( c_in @ SV422 @ SV839 @ SV1167 )
| ( SV839 = SV1346 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3247]) ).
thf(3451,plain,
! [SV1403: $i,SV1347: $i,SV1168: $i,SV840: $i,SV423: $i] :
( ( ( SV423
!= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV840 @ SV423 @ SV1168 ) @ ( c_List_Olist_OCons @ SV1347 @ SV1403 @ SV1168 ) @ SV1168 ) )
= $true )
| ( ( ( ( c_List_OdropWhile @ SV840 @ SV423 @ SV1168 )
= ( c_List_Olist_OCons @ SV1347 @ SV1403 @ SV1168 ) )
| ( hBOOL @ ( hAPP @ SV840 @ SV1347 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3248]) ).
thf(3452,plain,
! [SV1404: $i,SV1348: $i,SV1170: $i,SV843: $i,SV426: $i] :
( ( ( ( c_List_Oappend @ SV426 @ ( c_List_Olist_OCons @ SV843 @ ( c_List_Olist_ONil @ SV1170 ) @ SV1170 ) @ SV1170 )
!= ( c_List_Oappend @ SV1348 @ ( c_List_Olist_OCons @ SV1404 @ ( c_List_Olist_ONil @ SV1170 ) @ SV1170 ) @ SV1170 ) )
= $true )
| ( ( SV426 = SV1348 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3250]) ).
thf(3453,plain,
! [SV1405: $i,SV1349: $i,SV1171: $i,SV844: $i,SV427: $i] :
( ( ( ( c_List_Olist_OCons @ SV427 @ SV844 @ SV1171 )
!= ( c_List_Olist_OCons @ SV1349 @ SV1405 @ SV1171 ) )
= $true )
| ( ( SV427 = SV1349 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3251]) ).
thf(3454,plain,
! [SV1350: $i,SV1173: $i,SV846: $i,SV429: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV429 @ SV846 )
= ( c_Message_Omsg_OCrypt @ SV1173 @ SV1350 ) )
= $false )
| ( ( SV846 = SV1350 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3253]) ).
thf(3455,plain,
! [SV1406: $i,SV1351: $i,SV1174: $i,SV847: $i,SV430: $i] :
( ( ( ( c_List_Oappend @ SV430 @ SV847 @ SV1174 )
!= ( c_List_Olist_OCons @ SV1351 @ SV1406 @ SV1174 ) )
= $true )
| ( ( ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1351 @ SV1406 @ SV430 @ SV847 @ SV1174 ) @ SV847 @ SV1174 )
= SV1406 )
| ( SV430
= ( c_List_Olist_ONil @ SV1174 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3254]) ).
thf(3456,plain,
! [SV1407: $i,SV1352: $i,SV1175: $i,SV848: $i,SV431: $i] :
( ( ( ( c_List_OdropWhile @ SV431 @ SV848 @ SV1175 )
!= ( c_List_Olist_OCons @ SV1352 @ SV1407 @ SV1175 ) )
= $true )
| ( ( SV848
= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV431 @ SV848 @ SV1175 ) @ ( c_List_Olist_OCons @ SV1352 @ SV1407 @ SV1175 ) @ SV1175 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3255]) ).
thf(3457,plain,
! [SV1353: $i,SV1178: $i,SV851: $i,SV434: $i] :
( ( ( ( c_List_OdropWhile @ SV434 @ SV851 @ SV1178 )
= ( c_List_Olist_ONil @ SV1178 ) )
= $false )
| ( ( ( hBOOL @ ( hAPP @ SV434 @ SV1353 ) )
| ~ ( c_in @ SV1353 @ ( c_List_Oset @ SV851 @ SV1178 ) @ SV1178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3257]) ).
thf(3458,plain,
! [SV1408: $i,SV1354: $i,SV1179: $i,SV853: $i,SV436: $i] :
( ( ( ( c_List_Oappend @ SV436 @ SV853 @ SV1179 )
!= ( c_List_Olist_OCons @ SV1354 @ SV1408 @ SV1179 ) )
= $true )
| ( ( ( SV436
= ( c_List_Olist_OCons @ SV1354 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1354 @ SV1408 @ SV436 @ SV853 @ SV1179 ) @ SV1179 ) )
| ( SV853
= ( c_List_Olist_OCons @ SV1354 @ SV1408 @ SV1179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3258]) ).
thf(3459,plain,
! [SV1409: $i,SV1355: $i,SV1182: $i,SV856: $i,SV439: $i] :
( ( ( ( c_List_Oappend @ SV439 @ SV856 @ SV1182 )
!= ( c_List_Olist_OCons @ SV1355 @ SV1409 @ SV1182 ) )
= $true )
| ( ( ( SV439
= ( c_List_Olist_OCons @ SV1355 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1355 @ SV1409 @ SV439 @ SV856 @ SV1182 ) @ SV1182 ) )
| ( SV439
= ( c_List_Olist_ONil @ SV1182 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3260]) ).
thf(3460,plain,
! [SV1356: $i,SV1183: $i,SV857: $i,SV440: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV440 @ SV857 )
= ( c_Event_Oevent_OGets @ SV1183 @ SV1356 ) )
= $false )
| ( ( SV857 = SV1356 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3261]) ).
thf(3461,plain,
! [SV455: $i,SV863: $i,SV19: $i] :
( ( ( c_in @ SV19 @ ( c_Message_Oparts @ SV863 ) @ tc_Message_Omsg )
= $false )
| ( ( c_lessequals @ SV863 @ ( c_Message_Oparts @ SV455 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_in @ SV19 @ ( c_Message_Oparts @ SV455 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3262]) ).
thf(3462,plain,
! [SV865: $i,SV464: $i,SV31: $i,SV1184: $i] :
( ( ( hBOOL @ ( hAPP @ SV1184 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SV1184 @ SV464 @ SV865 ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV31 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SV1184 @ SV464 @ SV865 ) ) ) )
= $true )
| ( ( ( c_List_OtakeWhile @ SV31 @ SV464 @ SV865 )
= ( c_List_OtakeWhile @ SV1184 @ SV464 @ SV865 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3264]) ).
thf(3463,plain,
! [SV1357: $i,SV1186: $i,SV867: $i,SV466: $i,SV33: $i] :
( ( ( class_Orderings_Olinorder @ SV33 )
= $false )
| ( ( ( c_List_Odistinct @ SV466 @ SV867 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1186 @ SV1357 @ SV466 @ SV867 @ SV33 ) @ SV867 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3266]) ).
thf(3464,plain,
! [SV485: $i,SV55: $i,SV882: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV882 ) @ SV55 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV882 @ c_Event_Obad @ tc_Message_Oagent )
= $false )
| ( ( c_in @ SV55 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV485 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3269]) ).
thf(3465,plain,
! [SV63: $i,SV885: $i,SV493: $i] :
( ( ( c_lessequals @ SV493 @ SV885 @ SV63 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV885 @ SV493 @ SV63 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3271]) ).
thf(3466,plain,
! [SV64: $i,SV1194: $i,SV886: $i,SV494: $i] :
( ( ( ~ ( c_lessequals @ SV494 @ SV886 @ ( tc_fun @ SV1194 @ SV64 ) ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV886 @ SV494 @ ( tc_fun @ SV1194 @ SV64 ) ) )
= $true )
| ( ( class_HOL_Oord @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3272]) ).
thf(3467,plain,
! [SV66: $i,SV888: $i,SV496: $i] :
( ( ( c_lessequals @ SV496 @ SV888 @ SV66 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV888 @ SV496 @ SV66 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3274]) ).
thf(3468,plain,
! [SV68: $i,SV890: $i,SV498: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV498 @ SV890 @ SV68 )
= $false )
| ( ( ~ ( c_lessequals @ SV890 @ SV498 @ SV68 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3276]) ).
thf(3469,plain,
! [SV70: $i,SV500: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV500 @ SV500 @ SV70 )
= $false )
| ( ( c_lessequals @ SV500 @ SV500 @ SV70 )
= $false )
| ( ( class_Orderings_Olinorder @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3277]) ).
thf(3470,plain,
! [SV1195: $i,SV73: $i,SV893: $i,SV503: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV503 @ SV893 @ SV73 )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV503 @ SV1195 @ SV73 )
| ~ ( c_HOL_Oord__class_Oless @ SV1195 @ SV893 @ SV73 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3279]) ).
thf(3471,plain,
! [SV504: $i,SV894: $i,SV1196: $i,SV74: $i] :
( ( ( c_in @ SV74 @ SV1196 @ SV894 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV1196 @ SV504 @ ( tc_fun @ SV894 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV74 @ SV504 @ SV894 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3280]) ).
thf(3472,plain,
! [SV75: $i,SV895: $i,SV505: $i,SV1197: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV1197 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV75 @ SV1197 @ ( tc_fun @ SV895 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV75 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3281]) ).
thf(3473,plain,
! [SV1198: $i,SV76: $i,SV896: $i,SV506: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV506 @ SV896 @ SV76 )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV1198 @ SV896 @ SV76 )
| ~ ( c_HOL_Oord__class_Oless @ SV506 @ SV1198 @ SV76 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3282]) ).
thf(3474,plain,
! [SV512: $i,SV82: $i,SV901: $i] :
( ( ( c_in @ ( c_Event_Oevent_ONotes @ SV901 @ SV82 ) @ ( c_List_Oset @ SV512 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV901 @ c_Event_Obad @ tc_Message_Oagent )
= $false )
| ( ( c_in @ SV82 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV512 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3285]) ).
thf(3475,plain,
! [SV83: $i,SV513: $i,SV902: $i] :
( ( ( c_lessequals @ SV902 @ SV513 @ SV83 )
= $true )
| ( ( ~ ( c_lessequals @ SV513 @ SV902 @ SV83 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV513 @ SV902 @ SV83 )
= $true )
| ( ( class_Orderings_Opreorder @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3286]) ).
thf(3476,plain,
! [SV85: $i,SV1201: $i,SV903: $i,SV515: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) )
= $true )
| ( ( ( c_lessequals @ SV903 @ SV515 @ ( tc_fun @ SV1201 @ SV85 ) )
| ~ ( c_lessequals @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) ) )
= $true )
| ( ( class_HOL_Oord @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3287]) ).
thf(3477,plain,
! [SV89: $i,SV519: $i,SV904: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV904 @ SV519 @ SV89 )
= $true )
| ( ( SV904 = SV519 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV519 @ SV904 @ SV89 )
= $true )
| ( ( class_Ring__and__Field_Oordered__idom @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3288]) ).
thf(3478,plain,
! [SV90: $i,SV520: $i,SV905: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV905 @ SV520 @ SV90 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV520 @ SV905 @ SV90 )
= $true )
| ( ( SV520 = SV905 )
= $true )
| ( ( class_Orderings_Olinorder @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3289]) ).
thf(3479,plain,
! [SV91: $i,SV521: $i,SV906: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV906 @ SV521 @ SV91 )
= $true )
| ( ( SV906 = SV521 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV521 @ SV906 @ SV91 )
= $true )
| ( ( class_Orderings_Olinorder @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3290]) ).
thf(3480,plain,
! [SV92: $i,SV522: $i,SV907: $i] :
( ( ( SV907 = SV522 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV907 @ SV522 @ SV92 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV522 @ SV907 @ SV92 )
= $true )
| ( ( class_Orderings_Olinorder @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3291]) ).
thf(3481,plain,
! [SV93: $i,SV908: $i,SV523: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV523 @ SV908 @ SV93 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV908 @ SV523 @ SV93 )
= $true )
| ( ( SV523 = SV908 )
= $true )
| ( ( class_Orderings_Olinorder @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3292]) ).
thf(3482,plain,
! [SV95: $i,SV1202: $i,SV910: $i,SV525: $i] :
( ( ( c_lessequals @ SV525 @ SV910 @ ( tc_fun @ SV1202 @ SV95 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV525 @ SV910 @ ( tc_fun @ SV1202 @ SV95 ) ) )
= $true )
| ( ( class_HOL_Oord @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3293]) ).
thf(3483,plain,
! [SV96: $i,SV911: $i,SV526: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV526 @ SV911 @ SV96 )
= $false )
| ( ( c_lessequals @ SV526 @ SV911 @ SV96 )
= $true )
| ( ( class_Orderings_Oorder @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3294]) ).
thf(3484,plain,
! [SV97: $i,SV912: $i,SV527: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV527 @ SV912 @ SV97 )
= $false )
| ( ( c_lessequals @ SV527 @ SV912 @ SV97 )
= $true )
| ( ( class_Orderings_Opreorder @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3295]) ).
thf(3485,plain,
! [SV1204: $i,SV103: $i,SV916: $i,SV532: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV532 @ SV916 @ SV103 )
= $true )
| ( ( ~ ( c_lessequals @ SV532 @ SV1204 @ SV103 )
| ~ ( c_HOL_Oord__class_Oless @ SV1204 @ SV916 @ SV103 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3296]) ).
thf(3486,plain,
! [SV1205: $i,SV104: $i,SV917: $i,SV533: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV533 @ SV917 @ SV104 )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV533 @ SV1205 @ SV104 )
| ~ ( c_lessequals @ SV1205 @ SV917 @ SV104 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3297]) ).
thf(3487,plain,
! [SV105: $i,SV918: $i,SV534: $i,SV1206: $i] :
( ( ( c_lessequals @ SV1206 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV105 @ SV1206 @ ( tc_fun @ SV918 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV105 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3298]) ).
thf(3488,plain,
! [SV106: $i,SV919: $i,SV535: $i,SV1207: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV1207 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV106 @ SV1207 @ ( tc_fun @ SV919 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV106 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3299]) ).
thf(3489,plain,
! [SV1208: $i,SV107: $i,SV920: $i,SV536: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV536 @ SV920 @ SV107 )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV1208 @ SV920 @ SV107 )
| ~ ( c_lessequals @ SV536 @ SV1208 @ SV107 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3300]) ).
thf(3490,plain,
! [SV1209: $i,SV108: $i,SV921: $i,SV537: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV537 @ SV921 @ SV108 )
= $true )
| ( ( ~ ( c_lessequals @ SV1209 @ SV921 @ SV108 )
| ~ ( c_HOL_Oord__class_Oless @ SV537 @ SV1209 @ SV108 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3301]) ).
thf(3491,plain,
! [SV1410: $i,SV1358: $i,SV1210: $i,SV922: $i,SV538: $i,SV109: $i] :
( ( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SV538 @ SV922 @ SV1210 ) @ SV1358 @ SV1410 @ SV1210 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV109 @ SV1358 @ SV1410 @ SV1210 ) @ SV538 @ SV922 @ SV1210 ) )
= $true )
| ( ( SV538 = SV1358 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3302]) ).
thf(3492,plain,
! [SV112: $i,SV541: $i,SV924: $i] :
( ( ( SV924 = SV541 )
= $true )
| ( ( ~ ( c_lessequals @ SV541 @ SV924 @ SV112 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV541 @ SV924 @ SV112 )
= $true )
| ( ( class_Orderings_Oorder @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3304]) ).
thf(3493,plain,
! [SV113: $i,SV925: $i,SV542: $i] :
( ( ( ~ ( c_lessequals @ SV542 @ SV925 @ SV113 ) )
= $true )
| ( ( SV925 = SV542 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV542 @ SV925 @ SV113 )
= $true )
| ( ( class_Orderings_Oorder @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3305]) ).
thf(3494,plain,
! [SV115: $i,SV927: $i,SV544: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV544 @ SV927 @ SV115 )
= $true )
| ( ( ~ ( c_lessequals @ SV544 @ SV927 @ SV115 ) )
= $true )
| ( ( SV544 = SV927 )
= $true )
| ( ( class_Orderings_Oorder @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3307]) ).
thf(3495,plain,
! [SV116: $i,SV928: $i,SV545: $i] :
( ( ( SV545 = SV928 )
= $true )
| ( ( ~ ( c_lessequals @ SV545 @ SV928 @ SV116 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV545 @ SV928 @ SV116 )
= $true )
| ( ( class_Orderings_Oorder @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3308]) ).
thf(3496,plain,
! [SV118: $i,SV930: $i,SV547: $i] :
( ( ( SV547 = SV930 )
= $true )
| ( ( ~ ( c_lessequals @ SV547 @ SV930 @ SV118 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV547 @ SV930 @ SV118 )
= $true )
| ( ( class_Orderings_Oorder @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3310]) ).
thf(3497,plain,
! [SV119: $i,SV931: $i,SV548: $i] :
( ( ( ~ ( c_lessequals @ SV548 @ SV931 @ SV119 ) )
= $true )
| ( ( SV548 = SV931 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV548 @ SV931 @ SV119 )
= $true )
| ( ( class_Orderings_Oorder @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3311]) ).
thf(3498,plain,
! [SV120: $i,SV932: $i,SV549: $i] :
( ( ( ~ ( c_lessequals @ SV549 @ SV932 @ SV120 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV549 @ SV932 @ SV120 )
= $true )
| ( ( SV549 = SV932 )
= $true )
| ( ( class_Orderings_Olinorder @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3312]) ).
thf(3499,plain,
! [SV121: $i,SV933: $i,SV550: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV550 @ SV933 @ SV121 )
= $true )
| ( ( ~ ( c_lessequals @ SV550 @ SV933 @ SV121 ) )
= $true )
| ( ( SV550 = SV933 )
= $true )
| ( ( class_Orderings_Olinorder @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3313]) ).
thf(3500,plain,
! [SV551: $i,SV122: $i,SV934: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV934 @ SV122 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV551 @ SV934 @ SV122 ) @ SV122 )
= $true )
| ( ( class_Orderings_Olinorder @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3314]) ).
thf(3501,plain,
! [SV554: $i,SV125: $i,SV936: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV936 @ SV125 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV554 @ SV936 @ SV125 ) @ SV125 )
= $true )
| ( ( class_Orderings_Olinorder @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3315]) ).
thf(3502,plain,
! [SV126: $i,SV937: $i,SV555: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV555 @ SV937 @ SV126 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV937 @ SV555 @ SV126 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3316]) ).
thf(3503,plain,
! [SV127: $i,SV938: $i,SV556: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV556 @ SV938 @ SV127 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV938 @ SV556 @ SV127 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3317]) ).
thf(3504,plain,
! [SV128: $i,SV939: $i,SV557: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV557 @ SV939 @ SV128 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV939 @ SV557 @ SV128 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3318]) ).
thf(3505,plain,
! [SV129: $i,SV940: $i,SV558: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV558 @ SV940 @ SV129 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV940 @ SV558 @ SV129 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3319]) ).
thf(3506,plain,
! [SV130: $i,SV941: $i,SV559: $i] :
( ( ( ~ ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV559 @ SV941 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV559 @ SV941 @ SV130 ) @ SV130 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV559 @ SV130 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV559 @ SV941 @ SV130 ) @ SV130 )
= $true )
| ( ( class_Orderings_Olinorder @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3320]) ).
thf(3507,plain,
! [SV133: $i,SV944: $i,SV562: $i,SV1213: $i] :
( ( ( c_in @ SV1213 @ SV562 @ SV944 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV133 @ ( c_Set_Oinsert @ SV1213 @ SV562 @ SV944 ) @ ( tc_fun @ SV944 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV133 @ SV562 @ ( tc_fun @ SV944 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3322]) ).
thf(3508,plain,
! [SV134: $i,SV1214: $i,SV945: $i,SV563: $i] :
( ( ( c_in @ SV563 @ SV945 @ SV1214 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV134 @ SV945 @ ( tc_fun @ SV1214 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV134 @ ( c_Set_Oinsert @ SV563 @ SV945 @ SV1214 ) @ ( tc_fun @ SV1214 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3323]) ).
thf(3509,plain,
! [SV947: $i,SV565: $i,SV1216: $i,SV136: $i] :
( ( ( c_in @ SV136 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV1216 @ SV565 @ SV947 ) @ SV947 ) @ SV947 )
= $false )
| ( ( SV136 = SV1216 )
= $true )
| ( ( c_in @ SV136 @ ( c_List_Oset @ SV565 @ SV947 ) @ SV947 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3325]) ).
thf(3510,plain,
! [SV566: $i,SV1217: $i,SV948: $i,SV137: $i] :
( ( ( c_in @ SV137 @ ( c_List_Oset @ SV948 @ SV1217 ) @ SV1217 )
= $false )
| ( ( SV137 = SV566 )
= $true )
| ( ( c_in @ SV137 @ ( c_List_Oset @ ( c_List_Oremove1 @ SV566 @ SV948 @ SV1217 ) @ SV1217 ) @ SV1217 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3326]) ).
thf(3511,plain,
! [SV569: $i,SV951: $i,SV140: $i] :
( ( ( c_in @ SV140 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV951 @ SV569 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV951 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV140 @ ( c_Message_Osynth @ SV569 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3327]) ).
thf(3512,plain,
! [SV571: $i,SV953: $i,SV142: $i] :
( ( ( c_in @ SV142 @ ( c_Message_Osynth @ SV953 ) @ tc_Message_Omsg )
= $false )
| ( ( c_lessequals @ SV953 @ ( c_Message_Osynth @ SV571 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_in @ SV142 @ ( c_Message_Osynth @ SV571 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3329]) ).
thf(3513,plain,
! [SV169: $i,SV592: $i,SV968: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV968 @ SV592 @ SV169 ) @ SV169 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV592 @ SV169 )
= $true )
| ( ( class_Orderings_Olinorder @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3333]) ).
thf(3514,plain,
! [SV170: $i,SV969: $i,SV593: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV593 @ SV969 @ SV170 ) @ SV170 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV593 @ SV170 )
= $true )
| ( ( class_Orderings_Olinorder @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3334]) ).
thf(3515,plain,
! [SV177: $i,SV600: $i,SV976: $i] :
( ( ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV976 )
= $false )
| ( ( c_in @ SV600 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV976 ) ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV177 @ SV600 ) @ SV976 @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3337]) ).
thf(3516,plain,
! [SV1360: $i,SV1229: $i,SV977: $i,SV601: $i,SV178: $i] :
( ( ( class_Orderings_Olinorder @ SV178 )
= $false )
| ( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV601 @ SV977 @ SV1229 @ SV1360 @ SV178 )
= ( c_List_Olist_OCons @ SV977 @ SV1229 @ SV1360 ) )
| ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV977 @ SV601 @ SV1229 @ SV1360 @ SV178 ) @ ( c_List_Oset @ SV1229 @ SV1360 ) @ SV1360 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3338]) ).
thf(3517,plain,
! [SV180: $i,SV979: $i,SV603: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV603 @ SV979 @ SV180 ) @ ( c_List_Oset @ SV979 @ SV180 ) @ SV180 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV979 @ SV180 )
| ~ ( c_List_Olinorder__class_Osorted @ SV603 @ SV180 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV603 @ SV979 @ SV180 ) @ SV180 )
= $true )
| ( ( class_Orderings_Olinorder @ SV180 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3339]) ).
thf(3518,plain,
! [SV181: $i,SV980: $i,SV604: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV604 @ SV980 @ SV181 ) @ ( c_List_Oset @ SV604 @ SV181 ) @ SV181 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV980 @ SV181 )
| ~ ( c_List_Olinorder__class_Osorted @ SV604 @ SV181 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV604 @ SV980 @ SV181 ) @ SV181 )
= $true )
| ( ( class_Orderings_Olinorder @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3340]) ).
thf(3519,plain,
! [SV182: $i,SV981: $i,SV605: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV605 @ SV981 @ SV182 ) @ ( c_List_Oset @ SV981 @ SV182 ) @ SV182 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV981 @ SV182 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV605 @ SV981 @ SV182 ) @ SV182 )
= $true )
| ( ( class_Orderings_Olinorder @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3341]) ).
thf(3520,plain,
! [SV1361: $i,SV1231: $i,SV982: $i,SV606: $i,SV183: $i] :
( ( ( class_Orderings_Olinorder @ SV183 )
= $false )
| ( ( ~ ( c_in @ SV606 @ ( c_List_Oset @ SV982 @ SV1231 ) @ SV1231 )
| ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1361 @ SV606 @ SV982 @ SV1231 @ SV183 ) @ SV1231 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3342]) ).
thf(3521,plain,
! [SV1362: $i,SV1232: $i,SV983: $i,SV607: $i,SV184: $i] :
( ( ( class_Orderings_Olinorder @ SV184 )
= $false )
| ( ( ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV607 @ SV983 @ SV1232 @ SV1362 @ SV184 ) @ SV1362 )
| ~ ( c_List_Odistinct @ SV1232 @ SV1362 )
| ( c_in @ SV983 @ ( c_List_Oset @ SV1232 @ SV1362 ) @ SV1362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3343]) ).
thf(3522,plain,
! [SV1363: $i,SV1233: $i,SV985: $i,SV609: $i,SV186: $i] :
( ( ( class_Orderings_Olinorder @ SV186 )
= $false )
| ( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV609 @ SV985 @ SV1233 @ SV1363 @ SV186 )
= ( c_List_Olist_OCons @ SV985 @ SV1233 @ SV1363 ) )
| ~ ( c_lessequals @ ( hAPP @ SV609 @ SV985 ) @ ( hAPP @ SV609 @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV985 @ SV609 @ SV1233 @ SV1363 @ SV186 ) ) @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3344]) ).
thf(3523,plain,
! [SV192: $i,SV988: $i,SV615: $i] :
( ( ( ~ ( c_lessequals @ SV615 @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV615 @ SV988 @ SV192 ) @ SV192 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV988 @ SV192 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV615 @ SV988 @ SV192 ) @ SV192 )
= $true )
| ( ( class_Orderings_Olinorder @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3345]) ).
thf(3524,plain,
! [SV991: $i,SV1237: $i,SV618: $i,SV1364: $i,SV195: $i] :
( ( ( hBOOL @ ( hAPP @ SV195 @ SV1364 ) )
= $true )
| ( ( ~ ( c_in @ SV1364 @ ( c_List_Oset @ SV618 @ SV1237 ) @ SV1237 ) )
= $true )
| ( ( ( c_List_OdropWhile @ SV195 @ ( c_List_Oappend @ SV618 @ SV991 @ SV1237 ) @ SV1237 )
= ( c_List_Oappend @ ( c_List_OdropWhile @ SV195 @ SV618 @ SV1237 ) @ SV991 @ SV1237 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3347]) ).
thf(3525,plain,
! [SV620: $i,SV197: $i,SV1239: $i,SV1365: $i,SV993: $i] :
( ( ( ~ ( c_in @ SV993 @ SV1365 @ SV1239 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_List_Oset @ SV197 @ SV1239 ) @ SV1365 @ ( tc_fun @ SV1239 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV197 @ SV620 @ SV993 @ SV1239 ) @ SV1239 ) @ SV1365 @ ( tc_fun @ SV1239 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3348]) ).
thf(3526,plain,
! [SV628: $i,SV1242: $i,SV1001: $i,SV205: $i] :
( ( ( c_lessequals @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) )
= $false )
| ( ( ( c_in @ SV628 @ SV205 @ SV1242 )
| ~ ( c_HOL_Oord__class_Oless @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV205 @ ( c_Set_Oinsert @ SV628 @ SV1001 @ SV1242 ) @ ( tc_fun @ SV1242 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3352]) ).
thf(3527,plain,
! [SV629: $i,SV1243: $i,SV1002: $i,SV206: $i] :
( ( ( c_lessequals @ SV206 @ SV1002 @ ( tc_fun @ SV1243 @ tc_bool ) )
= $false )
| ( ( ( c_in @ SV629 @ SV206 @ SV1243 )
| ( c_in @ SV629 @ SV1002 @ SV1243 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV206 @ ( c_Set_Oinsert @ SV629 @ SV1002 @ SV1243 ) @ ( tc_fun @ SV1243 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3353]) ).
thf(3528,plain,
! [SV207: $i,SV1003: $i,SV630: $i,SV1244: $i] :
( ( ( c_in @ SV1244 @ SV630 @ SV1003 )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV207 @ ( c_Set_Oinsert @ SV1244 @ SV630 @ SV1003 ) @ ( tc_fun @ SV1003 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV1244 @ SV207 @ SV1003 )
= $true )
| ( ( c_lessequals @ SV207 @ SV630 @ ( tc_fun @ SV1003 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3354]) ).
thf(3529,plain,
! [SV1006: $i,SV210: $i,SV633: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV633 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV633 @ SV210 @ SV1006 ) @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( ( SV633 = c_Message_Oagent_OSpy )
| ~ ( c_in @ SV210 @ ( c_Event_Oknows @ SV633 @ SV1006 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_ONotes @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV210 @ ( c_Event_OinitState @ SV633 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3356]) ).
thf(3530,plain,
! [SV1012: $i,SV639: $i,SV1248: $i,SV217: $i] :
( ( ( c_in @ SV217 @ ( c_Set_Oinsert @ SV1248 @ SV639 @ SV1012 ) @ SV1012 )
= $false )
| ( ( SV217 = SV1248 )
= $true )
| ( ( c_in @ SV217 @ SV639 @ SV1012 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3359]) ).
thf(3531,plain,
! [SV222: $i,SV644: $i,SV1017: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1017 @ SV644 @ SV222 ) @ SV222 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV644 @ SV222 )
= $true )
| ( ( class_Orderings_Olinorder @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3364]) ).
thf(3532,plain,
! [SV1253: $i,SV223: $i,SV1018: $i,SV645: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1253 @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 ) @ SV223 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV223 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3365]) ).
thf(3533,plain,
! [SV1367: $i,SV1255: $i,SV1022: $i,SV649: $i,SV227: $i] :
( ( ( class_HOL_Oord @ SV227 )
= $false )
| ( ( ( c_lessequals @ ( hAPP @ SV649 @ SV1022 ) @ ( hAPP @ SV1255 @ SV1022 ) @ SV227 )
| ~ ( c_lessequals @ SV649 @ SV1255 @ ( tc_fun @ SV1367 @ SV227 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3366]) ).
thf(3534,plain,
! [SV1257: $i,SV230: $i,SV1024: $i,SV652: $i] :
( ( ( c_lessequals @ SV652 @ SV1024 @ SV230 )
= $true )
| ( ( ~ ( c_in @ SV1024 @ ( c_List_Oset @ SV1257 @ SV230 ) @ SV230 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV652 @ SV1257 @ SV230 ) @ SV230 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV230 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3368]) ).
thf(3535,plain,
! [SV657: $i,SV235: $i,SV1029: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1029 @ SV235 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_OtakeWhile @ SV657 @ SV1029 @ SV235 ) @ SV235 )
= $true )
| ( ( class_Orderings_Olinorder @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3372]) ).
thf(3536,plain,
! [SV1411: $i,SV1368: $i,SV1261: $i,SV1030: $i,SV658: $i,SV236: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV236 ) )
= $true )
| ( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV658 @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SV1411 ) @ SV1411 @ SV236 )
= ( c_List_Olist_OCons @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SV1411 ) @ SV1411 ) )
| ~ ( c_lessequals @ ( hAPP @ SV658 @ SV1030 ) @ ( hAPP @ SV658 @ SV1261 ) @ SV236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3373]) ).
thf(3537,plain,
! [SV1031: $i,SV659: $i,SV1262: $i,SV237: $i] :
( ( ( c_lessequals @ SV237 @ ( c_Set_Oinsert @ SV1262 @ SV659 @ SV1031 ) @ ( tc_fun @ SV1031 @ tc_bool ) )
= $false )
| ( ( c_in @ SV1262 @ SV237 @ SV1031 )
= $true )
| ( ( c_lessequals @ SV237 @ SV659 @ ( tc_fun @ SV1031 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3374]) ).
thf(3538,plain,
! [SV660: $i,SV1263: $i,SV1032: $i,SV238: $i] :
( ( ( c_lessequals @ SV238 @ SV1032 @ ( tc_fun @ SV1263 @ tc_bool ) )
= $false )
| ( ( c_in @ SV660 @ SV238 @ SV1263 )
= $true )
| ( ( c_lessequals @ SV238 @ ( c_Set_Oinsert @ SV660 @ SV1032 @ SV1263 ) @ ( tc_fun @ SV1263 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3375]) ).
thf(3539,plain,
! [SV1033: $i,SV661: $i,SV1264: $i,SV239: $i] :
( ( ( c_lessequals @ SV239 @ ( c_Set_Oinsert @ SV1264 @ SV661 @ SV1033 ) @ ( tc_fun @ SV1033 @ tc_bool ) )
= $false )
| ( ( c_in @ SV1264 @ SV239 @ SV1033 )
= $true )
| ( ( c_lessequals @ SV239 @ SV661 @ ( tc_fun @ SV1033 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3376]) ).
thf(3540,plain,
! [SV662: $i,SV1265: $i,SV1034: $i,SV240: $i] :
( ( ( c_lessequals @ SV240 @ SV1034 @ ( tc_fun @ SV1265 @ tc_bool ) )
= $false )
| ( ( c_in @ SV662 @ SV240 @ SV1265 )
= $true )
| ( ( c_lessequals @ SV240 @ ( c_Set_Oinsert @ SV662 @ SV1034 @ SV1265 ) @ ( tc_fun @ SV1265 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3377]) ).
thf(3541,plain,
! [SV1267: $i,SV1036: $i,SV1369: $i,SV665: $i,SV243: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ SV665 @ SV1369 ) @ ( c_List_Oset @ SV665 @ SV1369 ) @ SV1369 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV243 @ SV1036 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV243 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ ( c_List_Oappend @ SV665 @ ( c_List_Olist_OCons @ SV1036 @ SV1267 @ SV1369 ) @ SV1369 ) @ SV1369 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3379]) ).
thf(3542,plain,
! [SV1370: $i,SV1268: $i,SV1037: $i,SV666: $i,SV244: $i] :
( ( ( class_Orderings_Olinorder @ SV244 )
= $false )
| ( ( ( c_lessequals @ SV666 @ SV1037 @ SV244 )
| ~ ( c_in @ SV1037 @ ( c_List_Oset @ SV1268 @ SV244 ) @ SV244 )
| ~ ( c_in @ SV666 @ ( c_List_Oset @ SV1370 @ SV244 ) @ SV244 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1370 @ SV1268 @ SV244 ) @ SV244 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3380]) ).
thf(3543,plain,
! [SV1038: $i,SV667: $i,SV1269: $i,SV245: $i] :
( ( ( c_in @ SV245 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1269 @ SV667 @ SV1038 ) @ SV1038 ) @ SV1038 )
= $false )
| ( ( SV245 = SV1269 )
= $true )
| ( ( c_in @ SV245 @ ( c_List_Oset @ SV667 @ SV1038 ) @ SV1038 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3381]) ).
thf(3544,plain,
! [SV668: $i,SV1039: $i,SV1371: $i,SV1270: $i,SV246: $i] :
( ( ( hBOOL @ ( hAPP @ SV246 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ SV1270 @ SV1371 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV246 @ SV1039 ) ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SV1270 @ SV1371 ) @ SV1371 ) @ SV1371 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SV1270 @ SV1371 ) @ SV1371 ) @ SV1371 ) @ SV1371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3382]) ).
thf(3545,plain,
! [SV674: $i,SV1042: $i,SV252: $i] :
( ( ( c_in @ SV252 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1042 @ SV674 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV1042 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV252 @ ( c_Message_Oanalz @ SV674 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3383]) ).
thf(3546,plain,
! [SV1271: $i,SV1043: $i,SV1372: $i,SV679: $i,SV257: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ SV679 @ SV1372 ) @ ( c_List_Oset @ SV679 @ SV1372 ) @ SV1372 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV257 @ SV1043 ) ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SV1271 @ SV1372 ) @ SV1372 ) @ SV1372 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SV1271 @ SV1372 ) @ SV1372 ) @ SV1372 ) @ SV1372 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3384]) ).
thf(3547,plain,
! [SV1045: $i,SV1272: $i,SV682: $i,SV1373: $i,SV260: $i] :
( ( ( hBOOL @ ( hAPP @ SV260 @ SV1373 ) )
= $true )
| ( ( ~ ( c_in @ SV1373 @ ( c_List_Oset @ SV682 @ SV1272 ) @ SV1272 ) )
= $true )
| ( ( ( c_List_OtakeWhile @ SV260 @ ( c_List_Oappend @ SV682 @ SV1045 @ SV1272 ) @ SV1272 )
= ( c_List_OtakeWhile @ SV260 @ SV682 @ SV1272 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3385]) ).
thf(3548,plain,
! [SV683: $i,SV1046: $i,SV261: $i] :
( ( ( c_in @ SV261 @ ( c_Message_Oanalz @ SV1046 ) @ tc_Message_Omsg )
= $false )
| ( ( c_lessequals @ SV1046 @ ( c_Message_Oanalz @ SV683 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_in @ SV261 @ ( c_Message_Oanalz @ SV683 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3386]) ).
thf(3549,plain,
! [SV1412: $i,SV1374: $i,SV1273: $i,SV1047: $i,SV686: $i,SV265: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV265 ) )
= $true )
| ( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ ( c_List_Olist_OCons @ SV1273 @ SV1374 @ SV1412 ) @ SV1412 @ SV265 )
= ( c_List_Olist_OCons @ SV1273 @ ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ SV1374 @ SV1412 @ SV265 ) @ SV1412 ) )
| ( c_lessequals @ ( hAPP @ SV686 @ SV1047 ) @ ( hAPP @ SV686 @ SV1273 ) @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3387]) ).
thf(3550,plain,
! [SV1049: $i,SV689: $i,SV268: $i] :
( ( ( c_lessequals @ SV268 @ SV689 @ ( tc_fun @ SV1049 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV689 @ SV268 @ ( tc_fun @ SV1049 @ tc_bool ) )
= $false )
| ( ( SV268 = SV689 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3388]) ).
thf(3551,plain,
! [SV1050: $i,SV690: $i,SV269: $i] :
( ( ( c_lessequals @ SV269 @ SV690 @ ( tc_fun @ SV1050 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV690 @ SV269 @ ( tc_fun @ SV1050 @ tc_bool ) )
= $false )
| ( ( SV269 = SV690 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3389]) ).
thf(3552,plain,
! [SV270: $i,SV691: $i,SV1051: $i] :
( ( ( ~ ( c_lessequals @ SV1051 @ SV691 @ SV270 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV691 @ SV1051 @ SV270 ) )
= $true )
| ( ( SV691 = SV1051 )
= $true )
| ( ( class_Orderings_Oorder @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3390]) ).
thf(3553,plain,
! [SV271: $i,SV692: $i,SV1052: $i] :
( ( ( ~ ( c_lessequals @ SV1052 @ SV692 @ SV271 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV692 @ SV1052 @ SV271 ) )
= $true )
| ( ( SV692 = SV1052 )
= $true )
| ( ( class_Orderings_Oorder @ SV271 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3391]) ).
thf(3554,plain,
! [SV272: $i,SV1053: $i,SV693: $i] :
( ( ( ~ ( c_lessequals @ SV693 @ SV1053 @ SV272 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1053 @ SV693 @ SV272 ) )
= $true )
| ( ( SV693 = SV1053 )
= $true )
| ( ( class_Orderings_Oorder @ SV272 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3392]) ).
thf(3555,plain,
! [SV1375: $i,SV1276: $i,SV1055: $i,SV696: $i,SV275: $i] :
( ( ( class_Orderings_Olinorder @ SV275 )
= $false )
| ( ( ( c_List_Oset @ ( c_List_Olinorder__class_Oinsort__key @ SV696 @ SV1055 @ SV1276 @ SV1375 @ SV275 ) @ SV1375 )
= ( c_Set_Oinsert @ SV1055 @ ( c_List_Oset @ SV1276 @ SV1375 ) @ SV1375 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3394]) ).
thf(3556,plain,
! [SV1277: $i,SV276: $i,SV1056: $i,SV697: $i] :
( ( ( c_lessequals @ SV697 @ SV1056 @ SV276 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV697 @ ( c_List_Olist_OCons @ SV1056 @ SV1277 @ SV276 ) @ SV276 ) @ SV276 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV276 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3395]) ).
thf(3557,plain,
! [SV699: $i,SV1058: $i,SV278: $i] :
( ( ( c_in @ SV278 @ ( c_Message_Oanalz @ SV1058 ) @ tc_Message_Omsg )
= $false )
| ( ( c_lessequals @ SV1058 @ SV699 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV278 @ SV699 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV699 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3396]) ).
thf(3558,plain,
! [SV279: $i,SV1059: $i,SV1278: $i,SV700: $i] :
( ( ( c_lessequals @ SV700 @ SV1278 @ ( tc_fun @ SV1059 @ tc_bool ) )
= $false )
| ( ( ~ ( c_in @ SV279 @ SV1278 @ SV1059 ) )
= $true )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV279 @ SV700 @ SV1059 ) @ SV1278 @ ( tc_fun @ SV1059 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3397]) ).
thf(3559,plain,
! [SV702: $i,SV1060: $i,SV1376: $i,SV1279: $i,SV281: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ SV1279 @ SV1376 ) @ ( c_List_Oset @ SV1279 @ SV1376 ) @ SV1376 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV281 @ SV1060 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ ( c_List_Oappend @ SV702 @ ( c_List_Olist_OCons @ SV1060 @ SV1279 @ SV1376 ) @ SV1376 ) @ SV1376 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3398]) ).
thf(3560,plain,
! [SV282: $i,SV1280: $i,SV1061: $i,SV703: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV703 @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 ) @ SV282 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 )
| ~ ( c_lessequals @ SV703 @ SV1061 @ SV282 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3399]) ).
thf(3561,plain,
! [SV1281: $i,SV1062: $i,SV1377: $i,SV704: $i,SV283: $i] :
( ( ( hBOOL @ ( hAPP @ SV283 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ SV704 @ SV1377 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV283 @ SV1062 ) ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SV1281 @ SV1377 ) @ SV1377 ) @ SV1377 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SV1281 @ SV1377 ) @ SV1377 ) @ SV1377 ) @ SV1377 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3400]) ).
thf(3562,plain,
! [SV1282: $i,SV284: $i,SV1063: $i,SV705: $i] :
( ( ( c_lessequals @ SV705 @ SV1063 @ SV284 )
= $true )
| ( ( ~ ( c_lessequals @ SV705 @ SV1282 @ SV284 )
| ~ ( c_lessequals @ SV1282 @ SV1063 @ SV284 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3401]) ).
thf(3563,plain,
! [SV1283: $i,SV285: $i,SV1064: $i,SV706: $i] :
( ( ( c_lessequals @ SV706 @ SV1064 @ SV285 )
= $true )
| ( ( ~ ( c_lessequals @ SV1283 @ SV1064 @ SV285 )
| ~ ( c_lessequals @ SV706 @ SV1283 @ SV285 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3402]) ).
thf(3564,plain,
! [SV707: $i,SV1065: $i,SV1284: $i,SV286: $i] :
( ( ( c_in @ SV286 @ SV1284 @ SV1065 )
= $false )
| ( ( ~ ( c_lessequals @ SV1284 @ SV707 @ ( tc_fun @ SV1065 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV286 @ SV707 @ SV1065 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3403]) ).
thf(3565,plain,
! [SV708: $i,SV1066: $i,SV1285: $i,SV287: $i] :
( ( ( c_in @ SV287 @ SV1285 @ SV1066 )
= $false )
| ( ( ~ ( c_lessequals @ SV1285 @ SV708 @ ( tc_fun @ SV1066 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV287 @ SV708 @ SV1066 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3404]) ).
thf(3566,plain,
! [SV289: $i,SV1067: $i,SV710: $i,SV1286: $i] :
( ( ( c_lessequals @ SV1286 @ SV710 @ ( tc_fun @ SV1067 @ tc_bool ) )
= $false )
| ( ( ~ ( c_in @ SV289 @ SV1286 @ SV1067 ) )
= $true )
| ( ( c_in @ SV289 @ SV710 @ SV1067 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3405]) ).
thf(3567,plain,
! [SV711: $i,SV1068: $i,SV1287: $i,SV290: $i] :
( ( ( c_in @ SV290 @ SV1287 @ SV1068 )
= $false )
| ( ( ~ ( c_lessequals @ SV1287 @ SV711 @ ( tc_fun @ SV1068 @ tc_bool ) ) )
= $true )
| ( ( c_in @ SV290 @ SV711 @ SV1068 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3406]) ).
thf(3568,plain,
! [SV292: $i,SV1069: $i,SV713: $i,SV1288: $i] :
( ( ( c_lessequals @ SV1288 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV292 @ SV1288 @ ( tc_fun @ SV1069 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV292 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3407]) ).
thf(3569,plain,
! [SV1289: $i,SV293: $i,SV714: $i,SV1070: $i] :
( ( ( hBOOL @ ( hAPP @ SV1070 @ SV714 ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1070 @ SV293 @ ( tc_fun @ SV1289 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV293 @ SV714 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3408]) ).
thf(3570,plain,
! [SV717: $i,SV1290: $i,SV296: $i,SV1071: $i] :
( ( ( c_lessequals @ SV1071 @ SV296 @ ( tc_fun @ SV1290 @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1071 @ SV717 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV296 @ SV717 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3409]) ).
thf(3571,plain,
! [SV720: $i,SV1073: $i,SV1378: $i,SV1291: $i,SV299: $i] :
( ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ SV1291 @ SV1378 ) @ ( c_List_Oset @ SV1291 @ SV1378 ) @ SV1378 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV299 @ SV1073 ) ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SV1291 @ SV1378 ) @ SV1378 ) @ SV1378 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SV1291 @ SV1378 ) @ SV1378 ) @ SV1378 ) @ SV1378 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3410]) ).
thf(3572,plain,
! [SV723: $i,SV1075: $i,SV303: $i] :
( ( ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ SV1075 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Oappend @ ( c_List_Osko__List__Xrev__induct__1__2 @ SV303 @ SV1075 ) @ ( c_List_Olist_OCons @ ( c_List_Osko__List__Xrev__induct__1__1 @ SV303 @ SV1075 ) @ ( c_List_Olist_ONil @ SV1075 ) @ SV1075 ) @ SV1075 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV303 @ SV723 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3412]) ).
thf(3573,plain,
! [SV1296: $i,SV1086: $i,SV1380: $i,SV741: $i,SV321: $i] :
( ( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ SV741 @ SV1380 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV321 @ SV1086 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ ( c_List_Oappend @ SV741 @ ( c_List_Olist_OCons @ SV1086 @ SV1296 @ SV1380 ) @ SV1380 ) @ SV1380 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3415]) ).
thf(3574,plain,
! [SV743: $i,SV1088: $i,SV1382: $i,SV1298: $i,SV323: $i] :
( ( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ SV1298 @ SV1382 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV323 @ SV1088 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ ( c_List_Oappend @ SV743 @ ( c_List_Olist_OCons @ SV1088 @ SV1298 @ SV1382 ) @ SV1382 ) @ SV1382 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3416]) ).
thf(3575,plain,
! [SV1383: $i,SV1299: $i,SV1093: $i,SV751: $i,SV331: $i] :
( ( ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV751 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV331 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1093 @ SV1299 @ SV1383 ) @ SV751 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3417]) ).
thf(3576,plain,
! [SV772: $i,SV1308: $i,SV354: $i,SV1114: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1114 @ SV354 @ SV1308 ) @ SV772 ) )
= $false )
| ( ( SV1114 = SV772 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV354 @ SV772 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3418]) ).
thf(3577,plain,
! [SV1385: $i,SV1317: $i,SV1128: $i,SV795: $i,SV378: $i] :
( ( ( ( c_List_Olist_OCons @ SV378 @ SV795 @ SV1128 )
= ( c_List_Olist_OCons @ SV1317 @ SV1385 @ SV1128 ) )
= $false )
| ( ( SV795 = SV1385 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3421]) ).
thf(3578,plain,
! [SV1387: $i,SV1319: $i,SV1130: $i,SV797: $i,SV380: $i] :
( ( ( ( c_List_Ofilter @ SV380 @ SV797 @ SV1130 )
= ( c_List_Olist_OCons @ SV1319 @ SV1387 @ SV1130 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV380 @ SV1319 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3423]) ).
thf(3579,plain,
! [SV1131: $i,SV798: $i,SV1320: $i,SV381: $i] :
( ( ( hBOOL @ ( hAPP @ SV381 @ SV1320 ) )
= $true )
| ( ( ~ ( c_in @ SV1320 @ ( c_List_Oset @ SV798 @ SV1131 ) @ SV1131 ) )
= $true )
| ( ( ( c_List_Ofilter @ SV381 @ SV798 @ SV1131 )
= SV798 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3424]) ).
thf(3580,plain,
! [SV1388: $i,SV1321: $i,SV1133: $i,SV801: $i,SV384: $i] :
( ( ( ( c_List_Olist_OCons @ SV384 @ SV801 @ SV1133 )
= ( c_List_Ofilter @ SV1321 @ SV1388 @ SV1133 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV1321 @ SV384 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3425]) ).
thf(3581,plain,
! [SV1135: $i,SV386: $i,SV803: $i] :
( ( ( ( c_List_Oset @ SV803 @ SV386 )
= ( c_List_Oset @ SV1135 @ SV386 ) )
= $false )
| ( ( ~ ( c_List_Odistinct @ SV1135 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
| ~ ( c_List_Odistinct @ SV803 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV386 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3426]) ).
thf(3582,plain,
! [SV1391: $i,SV1326: $i,SV1139: $i,SV808: $i,SV391: $i] :
( ( ( ( c_List_Olist_OCons @ SV391 @ SV808 @ SV1139 )
= ( c_List_Oappend @ SV1326 @ SV1391 @ SV1139 ) )
= $false )
| ( ( ( SV808
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV391 @ SV808 @ SV1326 @ SV1391 @ SV1139 ) @ SV1391 @ SV1139 ) )
| ( SV1326
= ( c_List_Olist_ONil @ SV1139 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3430]) ).
thf(3583,plain,
! [SV1392: $i,SV1327: $i,SV1140: $i,SV809: $i,SV392: $i] :
( ( ( ( c_List_Oappend @ SV392 @ ( c_List_Olist_OCons @ SV809 @ ( c_List_Olist_ONil @ SV1140 ) @ SV1140 ) @ SV1140 )
= ( c_List_Oappend @ SV1327 @ ( c_List_Olist_OCons @ SV1392 @ ( c_List_Olist_ONil @ SV1140 ) @ SV1140 ) @ SV1140 ) )
= $false )
| ( ( SV809 = SV1392 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3431]) ).
thf(3584,plain,
! [SV1413: $i,SV1393: $i,SV1328: $i,SV1141: $i,SV810: $i,SV393: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV393 @ SV810 @ SV1141 )
!= ( c_Event_Oevent_OSays @ SV1328 @ SV1393 @ SV1413 ) )
= $true )
| ( ( SV1141 = SV1413 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3432]) ).
thf(3585,plain,
! [SV1394: $i,SV1329: $i,SV1142: $i,SV811: $i,SV394: $i] :
( ( ( ( c_List_Oappend @ SV394 @ SV811 @ SV1142 )
= ( c_List_Olist_OCons @ SV1329 @ SV1394 @ SV1142 ) )
= $false )
| ( ( ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1329 @ SV1394 @ SV394 @ SV811 @ SV1142 ) @ SV811 @ SV1142 )
= SV1394 )
| ( SV811
= ( c_List_Olist_OCons @ SV1329 @ SV1394 @ SV1142 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3433]) ).
thf(3586,plain,
! [SV1395: $i,SV1331: $i,SV1144: $i,SV813: $i,SV396: $i] :
( ( ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
= ( c_List_Oappend @ SV1331 @ SV1395 @ SV1144 ) )
= $false )
| ( ( ( ( c_List_Olist_OCons @ SV396 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV396 @ SV813 @ SV1331 @ SV1395 @ SV1144 ) @ SV1144 )
= SV1331 )
| ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
= SV1395 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3435]) ).
thf(3587,plain,
! [SV1146: $i,SV815: $i,SV1332: $i,SV398: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV398 @ SV1332 ) ) )
= $true )
| ( ( ~ ( c_in @ SV1332 @ ( c_List_Oset @ SV815 @ SV1146 ) @ SV1146 ) )
= $true )
| ( ( ( c_List_Ofilter @ SV398 @ SV815 @ SV1146 )
= ( c_List_Olist_ONil @ SV1146 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3436]) ).
thf(3588,plain,
! [SV1396: $i,SV1333: $i,SV1147: $i,SV816: $i,SV399: $i] :
( ( ( ( c_List_Oreplicate @ SV399 @ SV816 @ SV1147 )
= ( c_List_Oreplicate @ SV1333 @ SV1396 @ SV1147 ) )
= $false )
| ( ( SV399 = SV1333 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3437]) ).
thf(3589,plain,
! [SV1397: $i,SV1334: $i,SV1148: $i,SV817: $i,SV400: $i] :
( ( ( ( c_List_Olist_OCons @ SV400 @ SV817 @ SV1148 )
= ( c_List_Oappend @ SV1334 @ SV1397 @ SV1148 ) )
= $false )
| ( ( ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV400 @ SV817 @ SV1334 @ SV1397 @ SV1148 ) @ SV1148 )
= SV1334 )
| ( SV1334
= ( c_List_Olist_ONil @ SV1148 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3438]) ).
thf(3590,plain,
! [SV1398: $i,SV1335: $i,SV1149: $i,SV818: $i,SV401: $i] :
( ( ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
= ( c_List_Oappend @ SV1335 @ SV1398 @ SV1149 ) )
= $false )
| ( ( ( SV818
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV401 @ SV818 @ SV1335 @ SV1398 @ SV1149 ) @ SV1398 @ SV1149 ) )
| ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
= SV1398 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3439]) ).
thf(3591,plain,
! [SV1414: $i,SV1400: $i,SV1339: $i,SV1154: $i,SV823: $i,SV406: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV406 @ SV823 @ SV1154 )
!= ( c_Event_Oevent_OSays @ SV1339 @ SV1400 @ SV1414 ) )
= $true )
| ( ( SV823 = SV1400 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3443]) ).
thf(3592,plain,
! [SV1415: $i,SV1401: $i,SV1340: $i,SV1155: $i,SV826: $i,SV409: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV409 @ SV826 @ SV1155 )
!= ( c_Event_Oevent_OSays @ SV1340 @ SV1401 @ SV1415 ) )
= $true )
| ( ( SV409 = SV1340 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3444]) ).
thf(3593,plain,
! [SV1402: $i,SV1341: $i,SV1156: $i,SV827: $i,SV410: $i] :
( ( ( ( c_List_OdropWhile @ SV410 @ SV827 @ SV1156 )
= ( c_List_Olist_OCons @ SV1341 @ SV1402 @ SV1156 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV410 @ SV1341 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3445]) ).
thf(3594,plain,
! [SV1161: $i,SV832: $i,SV1343: $i,SV415: $i] :
( ( ( hBOOL @ ( hAPP @ SV415 @ SV1343 ) )
= $true )
| ( ( ~ ( c_in @ SV1343 @ ( c_List_Oset @ SV832 @ SV1161 ) @ SV1161 ) )
= $true )
| ( ( ( c_List_OtakeWhile @ SV415 @ SV832 @ SV1161 )
= SV832 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3447]) ).
thf(3595,plain,
! [SV839: $i,SV1167: $i,SV1346: $i,SV422: $i] :
( ( ( c_in @ SV422 @ SV1346 @ SV1167 )
= $true )
| ( ( ( c_in @ SV422 @ SV839 @ SV1167 )
| ( SV839 = SV1346 ) )
= $true )
| ( ( ( c_Set_Oinsert @ SV422 @ SV839 @ SV1167 )
= ( c_Set_Oinsert @ SV422 @ SV1346 @ SV1167 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3450]) ).
thf(3596,plain,
! [SV1403: $i,SV1347: $i,SV1168: $i,SV840: $i,SV423: $i] :
( ( ( SV423
= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV840 @ SV423 @ SV1168 ) @ ( c_List_Olist_OCons @ SV1347 @ SV1403 @ SV1168 ) @ SV1168 ) )
= $false )
| ( ( ( ( c_List_OdropWhile @ SV840 @ SV423 @ SV1168 )
= ( c_List_Olist_OCons @ SV1347 @ SV1403 @ SV1168 ) )
| ( hBOOL @ ( hAPP @ SV840 @ SV1347 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3451]) ).
thf(3597,plain,
! [SV1404: $i,SV1348: $i,SV1170: $i,SV843: $i,SV426: $i] :
( ( ( ( c_List_Oappend @ SV426 @ ( c_List_Olist_OCons @ SV843 @ ( c_List_Olist_ONil @ SV1170 ) @ SV1170 ) @ SV1170 )
= ( c_List_Oappend @ SV1348 @ ( c_List_Olist_OCons @ SV1404 @ ( c_List_Olist_ONil @ SV1170 ) @ SV1170 ) @ SV1170 ) )
= $false )
| ( ( SV426 = SV1348 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3452]) ).
thf(3598,plain,
! [SV1405: $i,SV1349: $i,SV1171: $i,SV844: $i,SV427: $i] :
( ( ( ( c_List_Olist_OCons @ SV427 @ SV844 @ SV1171 )
= ( c_List_Olist_OCons @ SV1349 @ SV1405 @ SV1171 ) )
= $false )
| ( ( SV427 = SV1349 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3453]) ).
thf(3599,plain,
! [SV1406: $i,SV1351: $i,SV1174: $i,SV847: $i,SV430: $i] :
( ( ( ( c_List_Oappend @ SV430 @ SV847 @ SV1174 )
= ( c_List_Olist_OCons @ SV1351 @ SV1406 @ SV1174 ) )
= $false )
| ( ( ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1351 @ SV1406 @ SV430 @ SV847 @ SV1174 ) @ SV847 @ SV1174 )
= SV1406 )
| ( SV430
= ( c_List_Olist_ONil @ SV1174 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3455]) ).
thf(3600,plain,
! [SV1407: $i,SV1352: $i,SV1175: $i,SV848: $i,SV431: $i] :
( ( ( ( c_List_OdropWhile @ SV431 @ SV848 @ SV1175 )
= ( c_List_Olist_OCons @ SV1352 @ SV1407 @ SV1175 ) )
= $false )
| ( ( SV848
= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV431 @ SV848 @ SV1175 ) @ ( c_List_Olist_OCons @ SV1352 @ SV1407 @ SV1175 ) @ SV1175 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3456]) ).
thf(3601,plain,
! [SV1178: $i,SV851: $i,SV1353: $i,SV434: $i] :
( ( ( hBOOL @ ( hAPP @ SV434 @ SV1353 ) )
= $true )
| ( ( ~ ( c_in @ SV1353 @ ( c_List_Oset @ SV851 @ SV1178 ) @ SV1178 ) )
= $true )
| ( ( ( c_List_OdropWhile @ SV434 @ SV851 @ SV1178 )
= ( c_List_Olist_ONil @ SV1178 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3457]) ).
thf(3602,plain,
! [SV1408: $i,SV1354: $i,SV1179: $i,SV853: $i,SV436: $i] :
( ( ( ( c_List_Oappend @ SV436 @ SV853 @ SV1179 )
= ( c_List_Olist_OCons @ SV1354 @ SV1408 @ SV1179 ) )
= $false )
| ( ( ( SV436
= ( c_List_Olist_OCons @ SV1354 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1354 @ SV1408 @ SV436 @ SV853 @ SV1179 ) @ SV1179 ) )
| ( SV853
= ( c_List_Olist_OCons @ SV1354 @ SV1408 @ SV1179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3458]) ).
thf(3603,plain,
! [SV1409: $i,SV1355: $i,SV1182: $i,SV856: $i,SV439: $i] :
( ( ( ( c_List_Oappend @ SV439 @ SV856 @ SV1182 )
= ( c_List_Olist_OCons @ SV1355 @ SV1409 @ SV1182 ) )
= $false )
| ( ( ( SV439
= ( c_List_Olist_OCons @ SV1355 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1355 @ SV1409 @ SV439 @ SV856 @ SV1182 ) @ SV1182 ) )
| ( SV439
= ( c_List_Olist_ONil @ SV1182 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3459]) ).
thf(3604,plain,
! [SV865: $i,SV464: $i,SV1184: $i,SV31: $i] :
( ( ( hBOOL @ ( hAPP @ SV31 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SV1184 @ SV464 @ SV865 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV1184 @ ( c_List_Osko__List__XtakeWhile__cong__1__1 @ SV31 @ SV1184 @ SV464 @ SV865 ) ) )
= $false )
| ( ( ( c_List_OtakeWhile @ SV31 @ SV464 @ SV865 )
= ( c_List_OtakeWhile @ SV1184 @ SV464 @ SV865 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3462]) ).
thf(3605,plain,
! [SV33: $i,SV1357: $i,SV1186: $i,SV867: $i,SV466: $i] :
( ( ( c_List_Odistinct @ SV466 @ SV867 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1186 @ SV1357 @ SV466 @ SV867 @ SV33 ) @ SV867 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3463]) ).
thf(3606,plain,
! [SV63: $i,SV493: $i,SV885: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV885 @ SV493 @ SV63 )
= $false )
| ( ( c_lessequals @ SV493 @ SV885 @ SV63 )
= $false )
| ( ( class_Orderings_Opreorder @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3465]) ).
thf(3607,plain,
! [SV64: $i,SV1194: $i,SV886: $i,SV494: $i] :
( ( ( c_lessequals @ SV494 @ SV886 @ ( tc_fun @ SV1194 @ SV64 ) )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV886 @ SV494 @ ( tc_fun @ SV1194 @ SV64 ) ) )
= $true )
| ( ( class_HOL_Oord @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3466]) ).
thf(3608,plain,
! [SV66: $i,SV496: $i,SV888: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV888 @ SV496 @ SV66 )
= $false )
| ( ( c_lessequals @ SV496 @ SV888 @ SV66 )
= $false )
| ( ( class_Orderings_Olinorder @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3467]) ).
thf(3609,plain,
! [SV68: $i,SV498: $i,SV890: $i] :
( ( ( c_lessequals @ SV890 @ SV498 @ SV68 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV498 @ SV890 @ SV68 )
= $false )
| ( ( class_Orderings_Olinorder @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3468]) ).
thf(3610,plain,
! [SV893: $i,SV73: $i,SV1195: $i,SV503: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV503 @ SV1195 @ SV73 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV1195 @ SV893 @ SV73 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV503 @ SV893 @ SV73 )
= $true )
| ( ( class_Orderings_Oorder @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3470]) ).
thf(3611,plain,
! [SV74: $i,SV894: $i,SV504: $i,SV1196: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV1196 @ SV504 @ ( tc_fun @ SV894 @ tc_bool ) )
= $false )
| ( ( c_in @ SV74 @ SV1196 @ SV894 )
= $false )
| ( ( c_in @ SV74 @ SV504 @ SV894 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3471]) ).
thf(3612,plain,
! [SV505: $i,SV895: $i,SV1197: $i,SV75: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV75 @ SV1197 @ ( tc_fun @ SV895 @ tc_bool ) )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV1197 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV75 @ SV505 @ ( tc_fun @ SV895 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3472]) ).
thf(3613,plain,
! [SV506: $i,SV76: $i,SV896: $i,SV1198: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV1198 @ SV896 @ SV76 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV506 @ SV1198 @ SV76 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV506 @ SV896 @ SV76 )
= $true )
| ( ( class_Orderings_Opreorder @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3473]) ).
thf(3614,plain,
! [SV83: $i,SV902: $i,SV513: $i] :
( ( ( c_lessequals @ SV513 @ SV902 @ SV83 )
= $false )
| ( ( c_lessequals @ SV902 @ SV513 @ SV83 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV513 @ SV902 @ SV83 )
= $true )
| ( ( class_Orderings_Opreorder @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3475]) ).
thf(3615,plain,
! [SV85: $i,SV1201: $i,SV515: $i,SV903: $i] :
( ( ( c_lessequals @ SV903 @ SV515 @ ( tc_fun @ SV1201 @ SV85 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) )
= $true )
| ( ( class_HOL_Oord @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3476]) ).
thf(3616,plain,
! [SV95: $i,SV1202: $i,SV910: $i,SV525: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV525 @ SV910 @ ( tc_fun @ SV1202 @ SV95 ) )
= $false )
| ( ( c_lessequals @ SV525 @ SV910 @ ( tc_fun @ SV1202 @ SV95 ) )
= $true )
| ( ( class_HOL_Oord @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3482]) ).
thf(3617,plain,
! [SV916: $i,SV103: $i,SV1204: $i,SV532: $i] :
( ( ( ~ ( c_lessequals @ SV532 @ SV1204 @ SV103 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV1204 @ SV916 @ SV103 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV532 @ SV916 @ SV103 )
= $true )
| ( ( class_Orderings_Oorder @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3485]) ).
thf(3618,plain,
! [SV917: $i,SV104: $i,SV1205: $i,SV533: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV533 @ SV1205 @ SV104 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1205 @ SV917 @ SV104 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV533 @ SV917 @ SV104 )
= $true )
| ( ( class_Orderings_Oorder @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3486]) ).
thf(3619,plain,
! [SV534: $i,SV918: $i,SV1206: $i,SV105: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV105 @ SV1206 @ ( tc_fun @ SV918 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV1206 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV105 @ SV534 @ ( tc_fun @ SV918 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3487]) ).
thf(3620,plain,
! [SV535: $i,SV919: $i,SV1207: $i,SV106: $i] :
( ( ( c_lessequals @ SV106 @ SV1207 @ ( tc_fun @ SV919 @ tc_bool ) )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV1207 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV106 @ SV535 @ ( tc_fun @ SV919 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3488]) ).
thf(3621,plain,
! [SV536: $i,SV107: $i,SV920: $i,SV1208: $i] :
( ( ( ~ ( c_HOL_Oord__class_Oless @ SV1208 @ SV920 @ SV107 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV536 @ SV1208 @ SV107 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV536 @ SV920 @ SV107 )
= $true )
| ( ( class_Orderings_Opreorder @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3489]) ).
thf(3622,plain,
! [SV537: $i,SV108: $i,SV921: $i,SV1209: $i] :
( ( ( ~ ( c_lessequals @ SV1209 @ SV921 @ SV108 ) )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV537 @ SV1209 @ SV108 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV537 @ SV921 @ SV108 )
= $true )
| ( ( class_Orderings_Opreorder @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3490]) ).
thf(3623,plain,
! [SV112: $i,SV924: $i,SV541: $i] :
( ( ( c_lessequals @ SV541 @ SV924 @ SV112 )
= $false )
| ( ( SV924 = SV541 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV541 @ SV924 @ SV112 )
= $true )
| ( ( class_Orderings_Oorder @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3492]) ).
thf(3624,plain,
! [SV113: $i,SV925: $i,SV542: $i] :
( ( ( c_lessequals @ SV542 @ SV925 @ SV113 )
= $false )
| ( ( SV925 = SV542 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV542 @ SV925 @ SV113 )
= $true )
| ( ( class_Orderings_Oorder @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3493]) ).
thf(3625,plain,
! [SV115: $i,SV927: $i,SV544: $i] :
( ( ( c_lessequals @ SV544 @ SV927 @ SV115 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV544 @ SV927 @ SV115 )
= $true )
| ( ( SV544 = SV927 )
= $true )
| ( ( class_Orderings_Oorder @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3494]) ).
thf(3626,plain,
! [SV116: $i,SV928: $i,SV545: $i] :
( ( ( c_lessequals @ SV545 @ SV928 @ SV116 )
= $false )
| ( ( SV545 = SV928 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV545 @ SV928 @ SV116 )
= $true )
| ( ( class_Orderings_Oorder @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3495]) ).
thf(3627,plain,
! [SV118: $i,SV930: $i,SV547: $i] :
( ( ( c_lessequals @ SV547 @ SV930 @ SV118 )
= $false )
| ( ( SV547 = SV930 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV547 @ SV930 @ SV118 )
= $true )
| ( ( class_Orderings_Oorder @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3496]) ).
thf(3628,plain,
! [SV119: $i,SV931: $i,SV548: $i] :
( ( ( c_lessequals @ SV548 @ SV931 @ SV119 )
= $false )
| ( ( SV548 = SV931 )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV548 @ SV931 @ SV119 )
= $true )
| ( ( class_Orderings_Oorder @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3497]) ).
thf(3629,plain,
! [SV120: $i,SV932: $i,SV549: $i] :
( ( ( c_lessequals @ SV549 @ SV932 @ SV120 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV549 @ SV932 @ SV120 )
= $true )
| ( ( SV549 = SV932 )
= $true )
| ( ( class_Orderings_Olinorder @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3498]) ).
thf(3630,plain,
! [SV121: $i,SV933: $i,SV550: $i] :
( ( ( c_lessequals @ SV550 @ SV933 @ SV121 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV550 @ SV933 @ SV121 )
= $true )
| ( ( SV550 = SV933 )
= $true )
| ( ( class_Orderings_Olinorder @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3499]) ).
thf(3631,plain,
! [SV126: $i,SV555: $i,SV937: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV937 @ SV555 @ SV126 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV555 @ SV937 @ SV126 )
= $false )
| ( ( class_Orderings_Oorder @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3502]) ).
thf(3632,plain,
! [SV127: $i,SV556: $i,SV938: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV938 @ SV556 @ SV127 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV556 @ SV938 @ SV127 )
= $false )
| ( ( class_Orderings_Olinorder @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3503]) ).
thf(3633,plain,
! [SV128: $i,SV557: $i,SV939: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV939 @ SV557 @ SV128 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV557 @ SV939 @ SV128 )
= $false )
| ( ( class_Orderings_Opreorder @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3504]) ).
thf(3634,plain,
! [SV129: $i,SV558: $i,SV940: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV940 @ SV558 @ SV129 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV558 @ SV940 @ SV129 )
= $false )
| ( ( class_Orderings_Opreorder @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3505]) ).
thf(3635,plain,
! [SV130: $i,SV941: $i,SV559: $i] :
( ( ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV559 @ SV941 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV559 @ SV941 @ SV130 ) @ SV130 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV130 )
| ~ ( c_List_Olinorder__class_Osorted @ SV559 @ SV130 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV559 @ SV941 @ SV130 ) @ SV130 )
= $true )
| ( ( class_Orderings_Olinorder @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3506]) ).
thf(3636,plain,
! [SV944: $i,SV562: $i,SV1213: $i,SV133: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV133 @ ( c_Set_Oinsert @ SV1213 @ SV562 @ SV944 ) @ ( tc_fun @ SV944 @ tc_bool ) )
= $false )
| ( ( c_in @ SV1213 @ SV562 @ SV944 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV133 @ SV562 @ ( tc_fun @ SV944 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3507]) ).
thf(3637,plain,
! [SV563: $i,SV1214: $i,SV945: $i,SV134: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV134 @ SV945 @ ( tc_fun @ SV1214 @ tc_bool ) )
= $false )
| ( ( c_in @ SV563 @ SV945 @ SV1214 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV134 @ ( c_Set_Oinsert @ SV563 @ SV945 @ SV1214 ) @ ( tc_fun @ SV1214 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3508]) ).
thf(3638,plain,
! [SV178: $i,SV1360: $i,SV1229: $i,SV977: $i,SV601: $i] :
( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV601 @ SV977 @ SV1229 @ SV1360 @ SV178 )
= ( c_List_Olist_OCons @ SV977 @ SV1229 @ SV1360 ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV977 @ SV601 @ SV1229 @ SV1360 @ SV178 ) @ ( c_List_Oset @ SV1229 @ SV1360 ) @ SV1360 )
= $true )
| ( ( class_Orderings_Olinorder @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3516]) ).
thf(3639,plain,
! [SV603: $i,SV180: $i,SV979: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ SV979 @ SV180 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV603 @ SV180 ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV603 @ SV979 @ SV180 ) @ ( c_List_Oset @ SV979 @ SV180 ) @ SV180 )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV603 @ SV979 @ SV180 ) @ SV180 )
= $true )
| ( ( class_Orderings_Olinorder @ SV180 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3517]) ).
thf(3640,plain,
! [SV604: $i,SV181: $i,SV980: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ SV980 @ SV181 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV604 @ SV181 ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV604 @ SV980 @ SV181 ) @ ( c_List_Oset @ SV604 @ SV181 ) @ SV181 )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV604 @ SV980 @ SV181 ) @ SV181 )
= $true )
| ( ( class_Orderings_Olinorder @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3518]) ).
thf(3641,plain,
! [SV605: $i,SV182: $i,SV981: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV981 @ SV182 )
= $false )
| ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV605 @ SV981 @ SV182 ) @ ( c_List_Oset @ SV981 @ SV182 ) @ SV182 )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV605 @ SV981 @ SV182 ) @ SV182 )
= $true )
| ( ( class_Orderings_Olinorder @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3519]) ).
thf(3642,plain,
! [SV183: $i,SV1361: $i,SV1231: $i,SV982: $i,SV606: $i] :
( ( ( ~ ( c_in @ SV606 @ ( c_List_Oset @ SV982 @ SV1231 ) @ SV1231 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1361 @ SV606 @ SV982 @ SV1231 @ SV183 ) @ SV1231 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV183 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3520]) ).
thf(3643,plain,
! [SV184: $i,SV1362: $i,SV1232: $i,SV983: $i,SV607: $i] :
( ( ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV607 @ SV983 @ SV1232 @ SV1362 @ SV184 ) @ SV1362 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV1232 @ SV1362 )
| ( c_in @ SV983 @ ( c_List_Oset @ SV1232 @ SV1362 ) @ SV1362 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3521]) ).
thf(3644,plain,
! [SV186: $i,SV1363: $i,SV1233: $i,SV985: $i,SV609: $i] :
( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV609 @ SV985 @ SV1233 @ SV1363 @ SV186 )
= ( c_List_Olist_OCons @ SV985 @ SV1233 @ SV1363 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( hAPP @ SV609 @ SV985 ) @ ( hAPP @ SV609 @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV985 @ SV609 @ SV1233 @ SV1363 @ SV186 ) ) @ SV186 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV186 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3522]) ).
thf(3645,plain,
! [SV192: $i,SV988: $i,SV615: $i] :
( ( ( c_lessequals @ SV615 @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV615 @ SV988 @ SV192 ) @ SV192 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV988 @ SV192 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV615 @ SV988 @ SV192 ) @ SV192 )
= $true )
| ( ( class_Orderings_Olinorder @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3523]) ).
thf(3646,plain,
! [SV991: $i,SV195: $i,SV1237: $i,SV618: $i,SV1364: $i] :
( ( ( c_in @ SV1364 @ ( c_List_Oset @ SV618 @ SV1237 ) @ SV1237 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV195 @ SV1364 ) )
= $true )
| ( ( ( c_List_OdropWhile @ SV195 @ ( c_List_Oappend @ SV618 @ SV991 @ SV1237 ) @ SV1237 )
= ( c_List_Oappend @ ( c_List_OdropWhile @ SV195 @ SV618 @ SV1237 ) @ SV991 @ SV1237 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3524]) ).
thf(3647,plain,
! [SV620: $i,SV197: $i,SV1239: $i,SV1365: $i,SV993: $i] :
( ( ( c_in @ SV993 @ SV1365 @ SV1239 )
= $false )
| ( ( ~ ( c_lessequals @ ( c_List_Oset @ SV197 @ SV1239 ) @ SV1365 @ ( tc_fun @ SV1239 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV197 @ SV620 @ SV993 @ SV1239 ) @ SV1239 ) @ SV1365 @ ( tc_fun @ SV1239 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3525]) ).
thf(3648,plain,
! [SV1001: $i,SV1242: $i,SV205: $i,SV628: $i] :
( ( ( c_in @ SV628 @ SV205 @ SV1242 )
= $true )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV205 @ ( c_Set_Oinsert @ SV628 @ SV1001 @ SV1242 ) @ ( tc_fun @ SV1242 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3526]) ).
thf(3649,plain,
! [SV1002: $i,SV1243: $i,SV206: $i,SV629: $i] :
( ( ( c_in @ SV629 @ SV206 @ SV1243 )
= $true )
| ( ( c_in @ SV629 @ SV1002 @ SV1243 )
= $true )
| ( ( c_lessequals @ SV206 @ SV1002 @ ( tc_fun @ SV1243 @ tc_bool ) )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV206 @ ( c_Set_Oinsert @ SV629 @ SV1002 @ SV1243 ) @ ( tc_fun @ SV1243 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3527]) ).
thf(3650,plain,
! [SV1003: $i,SV630: $i,SV1244: $i,SV207: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV207 @ ( c_Set_Oinsert @ SV1244 @ SV630 @ SV1003 ) @ ( tc_fun @ SV1003 @ tc_bool ) )
= $false )
| ( ( c_in @ SV1244 @ SV630 @ SV1003 )
= $true )
| ( ( c_in @ SV1244 @ SV207 @ SV1003 )
= $true )
| ( ( c_lessequals @ SV207 @ SV630 @ ( tc_fun @ SV1003 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3528]) ).
thf(3651,plain,
! [SV1006: $i,SV210: $i,SV633: $i] :
( ( ( SV633 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( c_in @ SV210 @ ( c_Event_Oknows @ SV633 @ SV1006 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ SV633 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV633 @ SV210 @ SV1006 ) @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_ONotes @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV210 @ ( c_Event_OinitState @ SV633 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3529]) ).
thf(3652,plain,
! [SV223: $i,SV1018: $i,SV645: $i,SV1253: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1253 @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 ) @ SV223 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV645 @ SV1018 @ SV223 ) @ SV223 )
= $true )
| ( ( class_Orderings_Olinorder @ SV223 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3532]) ).
thf(3653,plain,
! [SV1367: $i,SV227: $i,SV1255: $i,SV1022: $i,SV649: $i] :
( ( ( c_lessequals @ ( hAPP @ SV649 @ SV1022 ) @ ( hAPP @ SV1255 @ SV1022 ) @ SV227 )
= $true )
| ( ( ~ ( c_lessequals @ SV649 @ SV1255 @ ( tc_fun @ SV1367 @ SV227 ) ) )
= $true )
| ( ( class_HOL_Oord @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3533]) ).
thf(3654,plain,
! [SV652: $i,SV230: $i,SV1257: $i,SV1024: $i] :
( ( ( ~ ( c_in @ SV1024 @ ( c_List_Oset @ SV1257 @ SV230 ) @ SV230 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV652 @ SV1257 @ SV230 ) @ SV230 ) )
= $true )
| ( ( c_lessequals @ SV652 @ SV1024 @ SV230 )
= $true )
| ( ( class_Orderings_Olinorder @ SV230 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3534]) ).
thf(3655,plain,
! [SV1411: $i,SV1368: $i,SV1261: $i,SV1030: $i,SV658: $i,SV236: $i] :
( ( ( class_Orderings_Olinorder @ SV236 )
= $false )
| ( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV658 @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SV1411 ) @ SV1411 @ SV236 )
= ( c_List_Olist_OCons @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SV1411 ) @ SV1411 ) )
| ~ ( c_lessequals @ ( hAPP @ SV658 @ SV1030 ) @ ( hAPP @ SV658 @ SV1261 ) @ SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3536]) ).
thf(3656,plain,
! [SV1267: $i,SV1369: $i,SV665: $i,SV1036: $i,SV243: $i] :
( ( ( hBOOL @ ( hAPP @ SV243 @ SV1036 ) )
= $false )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ SV665 @ SV1369 ) @ ( c_List_Oset @ SV665 @ SV1369 ) @ SV1369 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV243 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV243 @ ( c_List_Oappend @ SV665 @ ( c_List_Olist_OCons @ SV1036 @ SV1267 @ SV1369 ) @ SV1369 ) @ SV1369 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3541]) ).
thf(3657,plain,
! [SV1370: $i,SV1268: $i,SV244: $i,SV1037: $i,SV666: $i] :
( ( ( c_lessequals @ SV666 @ SV1037 @ SV244 )
= $true )
| ( ( ~ ( c_in @ SV1037 @ ( c_List_Oset @ SV1268 @ SV244 ) @ SV244 )
| ~ ( c_in @ SV666 @ ( c_List_Oset @ SV1370 @ SV244 ) @ SV244 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1370 @ SV1268 @ SV244 ) @ SV244 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3542]) ).
thf(3658,plain,
! [SV668: $i,SV1371: $i,SV1270: $i,SV1039: $i,SV246: $i] :
( ( ( hBOOL @ ( hAPP @ SV246 @ SV1039 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV246 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ SV1270 @ SV1371 ) ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV246 @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SV1270 @ SV1371 ) @ SV1371 ) @ SV1371 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV668 @ ( c_List_Olist_OCons @ SV1039 @ SV1270 @ SV1371 ) @ SV1371 ) @ SV1371 ) @ SV1371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3544]) ).
thf(3659,plain,
! [SV1271: $i,SV1372: $i,SV679: $i,SV1043: $i,SV257: $i] :
( ( ( hBOOL @ ( hAPP @ SV257 @ SV1043 ) )
= $false )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ SV679 @ SV1372 ) @ ( c_List_Oset @ SV679 @ SV1372 ) @ SV1372 )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV257 @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SV1271 @ SV1372 ) @ SV1372 ) @ SV1372 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV679 @ ( c_List_Olist_OCons @ SV1043 @ SV1271 @ SV1372 ) @ SV1372 ) @ SV1372 ) @ SV1372 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3546]) ).
thf(3660,plain,
! [SV1045: $i,SV260: $i,SV1272: $i,SV682: $i,SV1373: $i] :
( ( ( c_in @ SV1373 @ ( c_List_Oset @ SV682 @ SV1272 ) @ SV1272 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV260 @ SV1373 ) )
= $true )
| ( ( ( c_List_OtakeWhile @ SV260 @ ( c_List_Oappend @ SV682 @ SV1045 @ SV1272 ) @ SV1272 )
= ( c_List_OtakeWhile @ SV260 @ SV682 @ SV1272 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3547]) ).
thf(3661,plain,
! [SV1412: $i,SV1374: $i,SV1273: $i,SV1047: $i,SV686: $i,SV265: $i] :
( ( ( class_Orderings_Olinorder @ SV265 )
= $false )
| ( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ ( c_List_Olist_OCons @ SV1273 @ SV1374 @ SV1412 ) @ SV1412 @ SV265 )
= ( c_List_Olist_OCons @ SV1273 @ ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ SV1374 @ SV1412 @ SV265 ) @ SV1412 ) )
| ( c_lessequals @ ( hAPP @ SV686 @ SV1047 ) @ ( hAPP @ SV686 @ SV1273 ) @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3549]) ).
thf(3662,plain,
! [SV270: $i,SV691: $i,SV1051: $i] :
( ( ( c_lessequals @ SV1051 @ SV691 @ SV270 )
= $false )
| ( ( ~ ( c_lessequals @ SV691 @ SV1051 @ SV270 ) )
= $true )
| ( ( SV691 = SV1051 )
= $true )
| ( ( class_Orderings_Oorder @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3552]) ).
thf(3663,plain,
! [SV271: $i,SV692: $i,SV1052: $i] :
( ( ( c_lessequals @ SV1052 @ SV692 @ SV271 )
= $false )
| ( ( ~ ( c_lessequals @ SV692 @ SV1052 @ SV271 ) )
= $true )
| ( ( SV692 = SV1052 )
= $true )
| ( ( class_Orderings_Oorder @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3553]) ).
thf(3664,plain,
! [SV272: $i,SV1053: $i,SV693: $i] :
( ( ( c_lessequals @ SV693 @ SV1053 @ SV272 )
= $false )
| ( ( ~ ( c_lessequals @ SV1053 @ SV693 @ SV272 ) )
= $true )
| ( ( SV693 = SV1053 )
= $true )
| ( ( class_Orderings_Oorder @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3554]) ).
thf(3665,plain,
! [SV276: $i,SV1277: $i,SV1056: $i,SV697: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV697 @ ( c_List_Olist_OCons @ SV1056 @ SV1277 @ SV276 ) @ SV276 ) @ SV276 )
= $false )
| ( ( c_lessequals @ SV697 @ SV1056 @ SV276 )
= $true )
| ( ( class_Orderings_Olinorder @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3556]) ).
thf(3666,plain,
! [SV700: $i,SV1059: $i,SV1278: $i,SV279: $i] :
( ( ( c_in @ SV279 @ SV1278 @ SV1059 )
= $false )
| ( ( c_lessequals @ SV700 @ SV1278 @ ( tc_fun @ SV1059 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV279 @ SV700 @ SV1059 ) @ SV1278 @ ( tc_fun @ SV1059 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3558]) ).
thf(3667,plain,
! [SV702: $i,SV1376: $i,SV1279: $i,SV1060: $i,SV281: $i] :
( ( ( hBOOL @ ( hAPP @ SV281 @ SV1060 ) )
= $false )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ SV1279 @ SV1376 ) @ ( c_List_Oset @ SV1279 @ SV1376 ) @ SV1376 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV281 @ ( c_List_Oappend @ SV702 @ ( c_List_Olist_OCons @ SV1060 @ SV1279 @ SV1376 ) @ SV1376 ) @ SV1376 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3559]) ).
thf(3668,plain,
! [SV703: $i,SV282: $i,SV1280: $i,SV1061: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV703 @ SV1061 @ SV282 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV703 @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 ) @ SV282 )
= $true )
| ( ( class_Orderings_Olinorder @ SV282 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3560]) ).
thf(3669,plain,
! [SV1281: $i,SV1377: $i,SV704: $i,SV1062: $i,SV283: $i] :
( ( ( hBOOL @ ( hAPP @ SV283 @ SV1062 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV283 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ SV704 @ SV1377 ) ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV283 @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SV1281 @ SV1377 ) @ SV1377 ) @ SV1377 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV704 @ ( c_List_Olist_OCons @ SV1062 @ SV1281 @ SV1377 ) @ SV1377 ) @ SV1377 ) @ SV1377 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3561]) ).
thf(3670,plain,
! [SV1063: $i,SV284: $i,SV1282: $i,SV705: $i] :
( ( ( ~ ( c_lessequals @ SV705 @ SV1282 @ SV284 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1282 @ SV1063 @ SV284 ) )
= $true )
| ( ( c_lessequals @ SV705 @ SV1063 @ SV284 )
= $true )
| ( ( class_Orderings_Oorder @ SV284 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3562]) ).
thf(3671,plain,
! [SV706: $i,SV285: $i,SV1064: $i,SV1283: $i] :
( ( ( ~ ( c_lessequals @ SV1283 @ SV1064 @ SV285 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV706 @ SV1283 @ SV285 ) )
= $true )
| ( ( c_lessequals @ SV706 @ SV1064 @ SV285 )
= $true )
| ( ( class_Orderings_Opreorder @ SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3563]) ).
thf(3672,plain,
! [SV286: $i,SV1065: $i,SV707: $i,SV1284: $i] :
( ( ( c_lessequals @ SV1284 @ SV707 @ ( tc_fun @ SV1065 @ tc_bool ) )
= $false )
| ( ( c_in @ SV286 @ SV1284 @ SV1065 )
= $false )
| ( ( c_in @ SV286 @ SV707 @ SV1065 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3564]) ).
thf(3673,plain,
! [SV287: $i,SV1066: $i,SV708: $i,SV1285: $i] :
( ( ( c_lessequals @ SV1285 @ SV708 @ ( tc_fun @ SV1066 @ tc_bool ) )
= $false )
| ( ( c_in @ SV287 @ SV1285 @ SV1066 )
= $false )
| ( ( c_in @ SV287 @ SV708 @ SV1066 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3565]) ).
thf(3674,plain,
! [SV710: $i,SV1067: $i,SV1286: $i,SV289: $i] :
( ( ( c_in @ SV289 @ SV1286 @ SV1067 )
= $false )
| ( ( c_lessequals @ SV1286 @ SV710 @ ( tc_fun @ SV1067 @ tc_bool ) )
= $false )
| ( ( c_in @ SV289 @ SV710 @ SV1067 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3566]) ).
thf(3675,plain,
! [SV290: $i,SV1068: $i,SV711: $i,SV1287: $i] :
( ( ( c_lessequals @ SV1287 @ SV711 @ ( tc_fun @ SV1068 @ tc_bool ) )
= $false )
| ( ( c_in @ SV290 @ SV1287 @ SV1068 )
= $false )
| ( ( c_in @ SV290 @ SV711 @ SV1068 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3567]) ).
thf(3676,plain,
! [SV713: $i,SV1069: $i,SV1288: $i,SV292: $i] :
( ( ( c_lessequals @ SV292 @ SV1288 @ ( tc_fun @ SV1069 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV1288 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV292 @ SV713 @ ( tc_fun @ SV1069 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3568]) ).
thf(3677,plain,
! [SV714: $i,SV1289: $i,SV293: $i,SV1070: $i] :
( ( ( c_lessequals @ SV1070 @ SV293 @ ( tc_fun @ SV1289 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV1070 @ SV714 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV293 @ SV714 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3569]) ).
thf(3678,plain,
! [SV1290: $i,SV296: $i,SV717: $i,SV1071: $i] :
( ( ( hBOOL @ ( hAPP @ SV1071 @ SV717 ) )
= $false )
| ( ( c_lessequals @ SV1071 @ SV296 @ ( tc_fun @ SV1290 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV296 @ SV717 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3570]) ).
thf(3679,plain,
! [SV720: $i,SV1378: $i,SV1291: $i,SV1073: $i,SV299: $i] :
( ( ( hBOOL @ ( hAPP @ SV299 @ SV1073 ) )
= $false )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ SV1291 @ SV1378 ) @ ( c_List_Oset @ SV1291 @ SV1378 ) @ SV1378 )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV299 @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SV1291 @ SV1378 ) @ SV1378 ) @ SV1378 ) @ ( c_List_Oset @ ( c_List_Oappend @ SV720 @ ( c_List_Olist_OCons @ SV1073 @ SV1291 @ SV1378 ) @ SV1378 ) @ SV1378 ) @ SV1378 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3571]) ).
thf(3680,plain,
! [SV1296: $i,SV1380: $i,SV741: $i,SV1086: $i,SV321: $i] :
( ( ( hBOOL @ ( hAPP @ SV321 @ SV1086 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ SV741 @ SV1380 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV321 @ ( c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 @ SV321 @ ( c_List_Oappend @ SV741 @ ( c_List_Olist_OCons @ SV1086 @ SV1296 @ SV1380 ) @ SV1380 ) @ SV1380 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3573]) ).
thf(3681,plain,
! [SV743: $i,SV1382: $i,SV1298: $i,SV1088: $i,SV323: $i] :
( ( ( hBOOL @ ( hAPP @ SV323 @ SV1088 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ SV1298 @ SV1382 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV323 @ ( c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 @ SV323 @ ( c_List_Oappend @ SV743 @ ( c_List_Olist_OCons @ SV1088 @ SV1298 @ SV1382 ) @ SV1382 ) @ SV1382 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3574]) ).
thf(3682,plain,
! [SV381: $i,SV1131: $i,SV798: $i,SV1320: $i] :
( ( ( c_in @ SV1320 @ ( c_List_Oset @ SV798 @ SV1131 ) @ SV1131 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV381 @ SV1320 ) )
= $true )
| ( ( ( c_List_Ofilter @ SV381 @ SV798 @ SV1131 )
= SV798 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3579]) ).
thf(3683,plain,
! [SV803: $i,SV386: $i,SV1135: $i] :
( ( ( ~ ( c_List_Odistinct @ SV1135 @ SV386 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
| ~ ( c_List_Odistinct @ SV803 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true )
| ( ( ( c_List_Oset @ SV803 @ SV386 )
= ( c_List_Oset @ SV1135 @ SV386 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV386 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3581]) ).
thf(3684,plain,
! [SV1139: $i,SV1391: $i,SV1326: $i,SV391: $i,SV808: $i] :
( ( ( SV808
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV391 @ SV808 @ SV1326 @ SV1391 @ SV1139 ) @ SV1391 @ SV1139 ) )
= $true )
| ( ( SV1326
= ( c_List_Olist_ONil @ SV1139 ) )
= $true )
| ( ( ( c_List_Olist_OCons @ SV391 @ SV808 @ SV1139 )
= ( c_List_Oappend @ SV1326 @ SV1391 @ SV1139 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3582]) ).
thf(3685,plain,
! [SV1413: $i,SV1393: $i,SV1328: $i,SV1141: $i,SV810: $i,SV393: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV393 @ SV810 @ SV1141 )
= ( c_Event_Oevent_OSays @ SV1328 @ SV1393 @ SV1413 ) )
= $false )
| ( ( SV1141 = SV1413 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3584]) ).
thf(3686,plain,
! [SV1142: $i,SV811: $i,SV394: $i,SV1394: $i,SV1329: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1329 @ SV1394 @ SV394 @ SV811 @ SV1142 ) @ SV811 @ SV1142 )
= SV1394 )
= $true )
| ( ( SV811
= ( c_List_Olist_OCons @ SV1329 @ SV1394 @ SV1142 ) )
= $true )
| ( ( ( c_List_Oappend @ SV394 @ SV811 @ SV1142 )
= ( c_List_Olist_OCons @ SV1329 @ SV1394 @ SV1142 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3585]) ).
thf(3687,plain,
! [SV1144: $i,SV1395: $i,SV1331: $i,SV813: $i,SV396: $i] :
( ( ( ( c_List_Olist_OCons @ SV396 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV396 @ SV813 @ SV1331 @ SV1395 @ SV1144 ) @ SV1144 )
= SV1331 )
= $true )
| ( ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
= SV1395 )
= $true )
| ( ( ( c_List_Olist_OCons @ SV396 @ SV813 @ SV1144 )
= ( c_List_Oappend @ SV1331 @ SV1395 @ SV1144 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3586]) ).
thf(3688,plain,
! [SV1146: $i,SV815: $i,SV1332: $i,SV398: $i] :
( ( ( hBOOL @ ( hAPP @ SV398 @ SV1332 ) )
= $false )
| ( ( ~ ( c_in @ SV1332 @ ( c_List_Oset @ SV815 @ SV1146 ) @ SV1146 ) )
= $true )
| ( ( ( c_List_Ofilter @ SV398 @ SV815 @ SV1146 )
= ( c_List_Olist_ONil @ SV1146 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3587]) ).
thf(3689,plain,
! [SV1148: $i,SV1397: $i,SV1334: $i,SV817: $i,SV400: $i] :
( ( ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV400 @ SV817 @ SV1334 @ SV1397 @ SV1148 ) @ SV1148 )
= SV1334 )
= $true )
| ( ( SV1334
= ( c_List_Olist_ONil @ SV1148 ) )
= $true )
| ( ( ( c_List_Olist_OCons @ SV400 @ SV817 @ SV1148 )
= ( c_List_Oappend @ SV1334 @ SV1397 @ SV1148 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3589]) ).
thf(3690,plain,
! [SV1149: $i,SV1398: $i,SV1335: $i,SV401: $i,SV818: $i] :
( ( ( SV818
= ( c_List_Oappend @ ( c_List_Osko__List__XCons__eq__append__conv__1__1 @ SV401 @ SV818 @ SV1335 @ SV1398 @ SV1149 ) @ SV1398 @ SV1149 ) )
= $true )
| ( ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
= SV1398 )
= $true )
| ( ( ( c_List_Olist_OCons @ SV401 @ SV818 @ SV1149 )
= ( c_List_Oappend @ SV1335 @ SV1398 @ SV1149 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3590]) ).
thf(3691,plain,
! [SV1414: $i,SV1400: $i,SV1339: $i,SV1154: $i,SV823: $i,SV406: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV406 @ SV823 @ SV1154 )
= ( c_Event_Oevent_OSays @ SV1339 @ SV1400 @ SV1414 ) )
= $false )
| ( ( SV823 = SV1400 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3591]) ).
thf(3692,plain,
! [SV1415: $i,SV1401: $i,SV1340: $i,SV1155: $i,SV826: $i,SV409: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV409 @ SV826 @ SV1155 )
= ( c_Event_Oevent_OSays @ SV1340 @ SV1401 @ SV1415 ) )
= $false )
| ( ( SV409 = SV1340 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3592]) ).
thf(3693,plain,
! [SV1402: $i,SV1156: $i,SV827: $i,SV1341: $i,SV410: $i] :
( ( ( hBOOL @ ( hAPP @ SV410 @ SV1341 ) )
= $false )
| ( ( ( c_List_OdropWhile @ SV410 @ SV827 @ SV1156 )
= ( c_List_Olist_OCons @ SV1341 @ SV1402 @ SV1156 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3593]) ).
thf(3694,plain,
! [SV415: $i,SV1161: $i,SV832: $i,SV1343: $i] :
( ( ( c_in @ SV1343 @ ( c_List_Oset @ SV832 @ SV1161 ) @ SV1161 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV415 @ SV1343 ) )
= $true )
| ( ( ( c_List_OtakeWhile @ SV415 @ SV832 @ SV1161 )
= SV832 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3594]) ).
thf(3695,plain,
! [SV1346: $i,SV1167: $i,SV839: $i,SV422: $i] :
( ( ( c_in @ SV422 @ SV839 @ SV1167 )
= $true )
| ( ( SV839 = SV1346 )
= $true )
| ( ( c_in @ SV422 @ SV1346 @ SV1167 )
= $true )
| ( ( ( c_Set_Oinsert @ SV422 @ SV839 @ SV1167 )
= ( c_Set_Oinsert @ SV422 @ SV1346 @ SV1167 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3595]) ).
thf(3696,plain,
! [SV1403: $i,SV1347: $i,SV1168: $i,SV423: $i,SV840: $i] :
( ( ( ( c_List_OdropWhile @ SV840 @ SV423 @ SV1168 )
= ( c_List_Olist_OCons @ SV1347 @ SV1403 @ SV1168 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV840 @ SV1347 ) )
= $true )
| ( ( SV423
= ( c_List_Oappend @ ( c_List_OtakeWhile @ SV840 @ SV423 @ SV1168 ) @ ( c_List_Olist_OCons @ SV1347 @ SV1403 @ SV1168 ) @ SV1168 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3596]) ).
thf(3697,plain,
! [SV1174: $i,SV847: $i,SV430: $i,SV1406: $i,SV1351: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1351 @ SV1406 @ SV430 @ SV847 @ SV1174 ) @ SV847 @ SV1174 )
= SV1406 )
= $true )
| ( ( SV430
= ( c_List_Olist_ONil @ SV1174 ) )
= $true )
| ( ( ( c_List_Oappend @ SV430 @ SV847 @ SV1174 )
= ( c_List_Olist_OCons @ SV1351 @ SV1406 @ SV1174 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3599]) ).
thf(3698,plain,
! [SV434: $i,SV1178: $i,SV851: $i,SV1353: $i] :
( ( ( c_in @ SV1353 @ ( c_List_Oset @ SV851 @ SV1178 ) @ SV1178 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV434 @ SV1353 ) )
= $true )
| ( ( ( c_List_OdropWhile @ SV434 @ SV851 @ SV1178 )
= ( c_List_Olist_ONil @ SV1178 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3601]) ).
thf(3699,plain,
! [SV1179: $i,SV853: $i,SV1408: $i,SV1354: $i,SV436: $i] :
( ( ( SV436
= ( c_List_Olist_OCons @ SV1354 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1354 @ SV1408 @ SV436 @ SV853 @ SV1179 ) @ SV1179 ) )
= $true )
| ( ( SV853
= ( c_List_Olist_OCons @ SV1354 @ SV1408 @ SV1179 ) )
= $true )
| ( ( ( c_List_Oappend @ SV436 @ SV853 @ SV1179 )
= ( c_List_Olist_OCons @ SV1354 @ SV1408 @ SV1179 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3602]) ).
thf(3700,plain,
! [SV1182: $i,SV856: $i,SV1409: $i,SV1355: $i,SV439: $i] :
( ( ( SV439
= ( c_List_Olist_OCons @ SV1355 @ ( c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @ SV1355 @ SV1409 @ SV439 @ SV856 @ SV1182 ) @ SV1182 ) )
= $true )
| ( ( SV439
= ( c_List_Olist_ONil @ SV1182 ) )
= $true )
| ( ( ( c_List_Oappend @ SV439 @ SV856 @ SV1182 )
= ( c_List_Olist_OCons @ SV1355 @ SV1409 @ SV1182 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3603]) ).
thf(3701,plain,
! [SV33: $i,SV867: $i,SV466: $i,SV1357: $i,SV1186: $i] :
( ( ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1186 @ SV1357 @ SV466 @ SV867 @ SV33 ) @ SV867 )
= $false )
| ( ( c_List_Odistinct @ SV466 @ SV867 )
= $true )
| ( ( class_Orderings_Olinorder @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3605]) ).
thf(3702,plain,
! [SV64: $i,SV1194: $i,SV494: $i,SV886: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV886 @ SV494 @ ( tc_fun @ SV1194 @ SV64 ) )
= $false )
| ( ( c_lessequals @ SV494 @ SV886 @ ( tc_fun @ SV1194 @ SV64 ) )
= $false )
| ( ( class_HOL_Oord @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3607]) ).
thf(3703,plain,
! [SV893: $i,SV73: $i,SV1195: $i,SV503: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV503 @ SV1195 @ SV73 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV1195 @ SV893 @ SV73 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV503 @ SV893 @ SV73 )
= $true )
| ( ( class_Orderings_Oorder @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3610]) ).
thf(3704,plain,
! [SV506: $i,SV76: $i,SV896: $i,SV1198: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV1198 @ SV896 @ SV76 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV506 @ SV1198 @ SV76 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV506 @ SV896 @ SV76 )
= $true )
| ( ( class_Orderings_Opreorder @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3613]) ).
thf(3705,plain,
! [SV85: $i,SV1201: $i,SV903: $i,SV515: $i] :
( ( ( c_lessequals @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) )
= $false )
| ( ( c_lessequals @ SV903 @ SV515 @ ( tc_fun @ SV1201 @ SV85 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV515 @ SV903 @ ( tc_fun @ SV1201 @ SV85 ) )
= $true )
| ( ( class_HOL_Oord @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3615]) ).
thf(3706,plain,
! [SV916: $i,SV103: $i,SV1204: $i,SV532: $i] :
( ( ( c_lessequals @ SV532 @ SV1204 @ SV103 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV1204 @ SV916 @ SV103 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV532 @ SV916 @ SV103 )
= $true )
| ( ( class_Orderings_Oorder @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3617]) ).
thf(3707,plain,
! [SV917: $i,SV104: $i,SV1205: $i,SV533: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV533 @ SV1205 @ SV104 )
= $false )
| ( ( ~ ( c_lessequals @ SV1205 @ SV917 @ SV104 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV533 @ SV917 @ SV104 )
= $true )
| ( ( class_Orderings_Oorder @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3618]) ).
thf(3708,plain,
! [SV536: $i,SV107: $i,SV920: $i,SV1208: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV1208 @ SV920 @ SV107 )
= $false )
| ( ( ~ ( c_lessequals @ SV536 @ SV1208 @ SV107 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV536 @ SV920 @ SV107 )
= $true )
| ( ( class_Orderings_Opreorder @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3621]) ).
thf(3709,plain,
! [SV537: $i,SV108: $i,SV921: $i,SV1209: $i] :
( ( ( c_lessequals @ SV1209 @ SV921 @ SV108 )
= $false )
| ( ( ~ ( c_HOL_Oord__class_Oless @ SV537 @ SV1209 @ SV108 ) )
= $true )
| ( ( c_HOL_Oord__class_Oless @ SV537 @ SV921 @ SV108 )
= $true )
| ( ( class_Orderings_Opreorder @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3622]) ).
thf(3710,plain,
! [SV559: $i,SV130: $i,SV941: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV130 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV559 @ SV130 ) )
= $true )
| ( ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV559 @ SV941 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV559 @ SV941 @ SV130 ) @ SV130 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV559 @ SV941 @ SV130 ) @ SV130 )
= $true )
| ( ( class_Orderings_Olinorder @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3635]) ).
thf(3711,plain,
! [SV603: $i,SV180: $i,SV979: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV979 @ SV180 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV603 @ SV180 ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV603 @ SV979 @ SV180 ) @ ( c_List_Oset @ SV979 @ SV180 ) @ SV180 )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV603 @ SV979 @ SV180 ) @ SV180 )
= $true )
| ( ( class_Orderings_Olinorder @ SV180 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3639]) ).
thf(3712,plain,
! [SV604: $i,SV181: $i,SV980: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV980 @ SV181 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV604 @ SV181 ) )
= $true )
| ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV604 @ SV980 @ SV181 ) @ ( c_List_Oset @ SV604 @ SV181 ) @ SV181 )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV604 @ SV980 @ SV181 ) @ SV181 )
= $true )
| ( ( class_Orderings_Olinorder @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3640]) ).
thf(3713,plain,
! [SV183: $i,SV1361: $i,SV1231: $i,SV982: $i,SV606: $i] :
( ( ( c_in @ SV606 @ ( c_List_Oset @ SV982 @ SV1231 ) @ SV1231 )
= $false )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1361 @ SV606 @ SV982 @ SV1231 @ SV183 ) @ SV1231 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3642]) ).
thf(3714,plain,
! [SV184: $i,SV607: $i,SV983: $i,SV1362: $i,SV1232: $i] :
( ( ( ~ ( c_List_Odistinct @ SV1232 @ SV1362 ) )
= $true )
| ( ( c_in @ SV983 @ ( c_List_Oset @ SV1232 @ SV1362 ) @ SV1362 )
= $true )
| ( ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV607 @ SV983 @ SV1232 @ SV1362 @ SV184 ) @ SV1362 )
= $true )
| ( ( class_Orderings_Olinorder @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3643]) ).
thf(3715,plain,
! [SV186: $i,SV1363: $i,SV1233: $i,SV985: $i,SV609: $i] :
( ( ( c_lessequals @ ( hAPP @ SV609 @ SV985 ) @ ( hAPP @ SV609 @ ( c_List_Osko__List__Xlinorder__class__Xinsort__is__Cons__1__1 @ SV985 @ SV609 @ SV1233 @ SV1363 @ SV186 ) ) @ SV186 )
= $false )
| ( ( ( c_List_Olinorder__class_Oinsort__key @ SV609 @ SV985 @ SV1233 @ SV1363 @ SV186 )
= ( c_List_Olist_OCons @ SV985 @ SV1233 @ SV1363 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3644]) ).
thf(3716,plain,
! [SV615: $i,SV192: $i,SV988: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV988 @ SV192 )
= $false )
| ( ( c_lessequals @ SV615 @ ( c_List_Osko__List__Xlinorder__class__Xsorted__Cons__1__1 @ SV615 @ SV988 @ SV192 ) @ SV192 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV615 @ SV988 @ SV192 ) @ SV192 )
= $true )
| ( ( class_Orderings_Olinorder @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3645]) ).
thf(3717,plain,
! [SV620: $i,SV993: $i,SV1365: $i,SV1239: $i,SV197: $i] :
( ( ( c_lessequals @ ( c_List_Oset @ SV197 @ SV1239 ) @ SV1365 @ ( tc_fun @ SV1239 @ tc_bool ) )
= $false )
| ( ( c_in @ SV993 @ SV1365 @ SV1239 )
= $false )
| ( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV197 @ SV620 @ SV993 @ SV1239 ) @ SV1239 ) @ SV1365 @ ( tc_fun @ SV1239 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3647]) ).
thf(3718,plain,
! [SV628: $i,SV1242: $i,SV1001: $i,SV205: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) )
= $false )
| ( ( c_in @ SV628 @ SV205 @ SV1242 )
= $true )
| ( ( c_lessequals @ SV205 @ SV1001 @ ( tc_fun @ SV1242 @ tc_bool ) )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV205 @ ( c_Set_Oinsert @ SV628 @ SV1001 @ SV1242 ) @ ( tc_fun @ SV1242 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3648]) ).
thf(3719,plain,
! [SV1006: $i,SV633: $i,SV210: $i] :
( ( ( c_in @ SV210 @ ( c_Event_Oknows @ SV633 @ SV1006 ) @ tc_Message_Omsg )
= $false )
| ( ( SV633 = c_Message_Oagent_OSpy )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ SV633 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV633 @ SV210 @ SV1006 ) @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_ONotes @ SV633 @ SV210 ) @ ( c_List_Oset @ SV1006 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV210 @ ( c_Event_OinitState @ SV633 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3651]) ).
thf(3720,plain,
! [SV1022: $i,SV227: $i,SV1367: $i,SV1255: $i,SV649: $i] :
( ( ( c_lessequals @ SV649 @ SV1255 @ ( tc_fun @ SV1367 @ SV227 ) )
= $false )
| ( ( c_lessequals @ ( hAPP @ SV649 @ SV1022 ) @ ( hAPP @ SV1255 @ SV1022 ) @ SV227 )
= $true )
| ( ( class_HOL_Oord @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3653]) ).
thf(3721,plain,
! [SV652: $i,SV230: $i,SV1257: $i,SV1024: $i] :
( ( ( c_in @ SV1024 @ ( c_List_Oset @ SV1257 @ SV230 ) @ SV230 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV652 @ SV1257 @ SV230 ) @ SV230 ) )
= $true )
| ( ( c_lessequals @ SV652 @ SV1024 @ SV230 )
= $true )
| ( ( class_Orderings_Olinorder @ SV230 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3654]) ).
thf(3722,plain,
! [SV236: $i,SV1411: $i,SV1368: $i,SV1261: $i,SV1030: $i,SV658: $i] :
( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV658 @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SV1411 ) @ SV1411 @ SV236 )
= ( c_List_Olist_OCons @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SV1411 ) @ SV1411 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( hAPP @ SV658 @ SV1030 ) @ ( hAPP @ SV658 @ SV1261 ) @ SV236 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3655]) ).
thf(3723,plain,
! [SV1370: $i,SV666: $i,SV244: $i,SV1268: $i,SV1037: $i] :
( ( ( ~ ( c_in @ SV1037 @ ( c_List_Oset @ SV1268 @ SV244 ) @ SV244 ) )
= $true )
| ( ( ~ ( c_in @ SV666 @ ( c_List_Oset @ SV1370 @ SV244 ) @ SV244 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1370 @ SV1268 @ SV244 ) @ SV244 ) )
= $true )
| ( ( c_lessequals @ SV666 @ SV1037 @ SV244 )
= $true )
| ( ( class_Orderings_Olinorder @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3657]) ).
thf(3724,plain,
! [SV265: $i,SV1412: $i,SV1374: $i,SV1273: $i,SV1047: $i,SV686: $i] :
( ( ( ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ ( c_List_Olist_OCons @ SV1273 @ SV1374 @ SV1412 ) @ SV1412 @ SV265 )
= ( c_List_Olist_OCons @ SV1273 @ ( c_List_Olinorder__class_Oinsort__key @ SV686 @ SV1047 @ SV1374 @ SV1412 @ SV265 ) @ SV1412 ) )
= $true )
| ( ( c_lessequals @ ( hAPP @ SV686 @ SV1047 ) @ ( hAPP @ SV686 @ SV1273 ) @ SV265 )
= $true )
| ( ( class_Orderings_Olinorder @ SV265 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3661]) ).
thf(3725,plain,
! [SV270: $i,SV1051: $i,SV691: $i] :
( ( ( c_lessequals @ SV691 @ SV1051 @ SV270 )
= $false )
| ( ( c_lessequals @ SV1051 @ SV691 @ SV270 )
= $false )
| ( ( SV691 = SV1051 )
= $true )
| ( ( class_Orderings_Oorder @ SV270 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3662]) ).
thf(3726,plain,
! [SV271: $i,SV1052: $i,SV692: $i] :
( ( ( c_lessequals @ SV692 @ SV1052 @ SV271 )
= $false )
| ( ( c_lessequals @ SV1052 @ SV692 @ SV271 )
= $false )
| ( ( SV692 = SV1052 )
= $true )
| ( ( class_Orderings_Oorder @ SV271 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3663]) ).
thf(3727,plain,
! [SV272: $i,SV693: $i,SV1053: $i] :
( ( ( c_lessequals @ SV1053 @ SV693 @ SV272 )
= $false )
| ( ( c_lessequals @ SV693 @ SV1053 @ SV272 )
= $false )
| ( ( SV693 = SV1053 )
= $true )
| ( ( class_Orderings_Oorder @ SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3664]) ).
thf(3728,plain,
! [SV703: $i,SV282: $i,SV1280: $i,SV1061: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 )
= $false )
| ( ( ~ ( c_lessequals @ SV703 @ SV1061 @ SV282 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV703 @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 ) @ SV282 )
= $true )
| ( ( class_Orderings_Olinorder @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3668]) ).
thf(3729,plain,
! [SV1063: $i,SV284: $i,SV1282: $i,SV705: $i] :
( ( ( c_lessequals @ SV705 @ SV1282 @ SV284 )
= $false )
| ( ( ~ ( c_lessequals @ SV1282 @ SV1063 @ SV284 ) )
= $true )
| ( ( c_lessequals @ SV705 @ SV1063 @ SV284 )
= $true )
| ( ( class_Orderings_Oorder @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3670]) ).
thf(3730,plain,
! [SV706: $i,SV285: $i,SV1064: $i,SV1283: $i] :
( ( ( c_lessequals @ SV1283 @ SV1064 @ SV285 )
= $false )
| ( ( ~ ( c_lessequals @ SV706 @ SV1283 @ SV285 ) )
= $true )
| ( ( c_lessequals @ SV706 @ SV1064 @ SV285 )
= $true )
| ( ( class_Orderings_Opreorder @ SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3671]) ).
thf(3731,plain,
! [SV803: $i,SV386: $i,SV1135: $i] :
( ( ( c_List_Odistinct @ SV1135 @ SV386 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
| ~ ( c_List_Odistinct @ SV803 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true )
| ( ( ( c_List_Oset @ SV803 @ SV386 )
= ( c_List_Oset @ SV1135 @ SV386 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV386 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3683]) ).
thf(3732,plain,
! [SV398: $i,SV1146: $i,SV815: $i,SV1332: $i] :
( ( ( c_in @ SV1332 @ ( c_List_Oset @ SV815 @ SV1146 ) @ SV1146 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV398 @ SV1332 ) )
= $false )
| ( ( ( c_List_Ofilter @ SV398 @ SV815 @ SV1146 )
= ( c_List_Olist_ONil @ SV1146 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3688]) ).
thf(3733,plain,
! [SV503: $i,SV73: $i,SV893: $i,SV1195: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV1195 @ SV893 @ SV73 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV503 @ SV1195 @ SV73 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV503 @ SV893 @ SV73 )
= $true )
| ( ( class_Orderings_Oorder @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3703]) ).
thf(3734,plain,
! [SV896: $i,SV76: $i,SV1198: $i,SV506: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV506 @ SV1198 @ SV76 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV1198 @ SV896 @ SV76 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV506 @ SV896 @ SV76 )
= $true )
| ( ( class_Orderings_Opreorder @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3704]) ).
thf(3735,plain,
! [SV532: $i,SV103: $i,SV916: $i,SV1204: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV1204 @ SV916 @ SV103 )
= $false )
| ( ( c_lessequals @ SV532 @ SV1204 @ SV103 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV532 @ SV916 @ SV103 )
= $true )
| ( ( class_Orderings_Oorder @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3706]) ).
thf(3736,plain,
! [SV533: $i,SV104: $i,SV917: $i,SV1205: $i] :
( ( ( c_lessequals @ SV1205 @ SV917 @ SV104 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV533 @ SV1205 @ SV104 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV533 @ SV917 @ SV104 )
= $true )
| ( ( class_Orderings_Oorder @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3707]) ).
thf(3737,plain,
! [SV920: $i,SV107: $i,SV1208: $i,SV536: $i] :
( ( ( c_lessequals @ SV536 @ SV1208 @ SV107 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV1208 @ SV920 @ SV107 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV536 @ SV920 @ SV107 )
= $true )
| ( ( class_Orderings_Opreorder @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3708]) ).
thf(3738,plain,
! [SV921: $i,SV108: $i,SV1209: $i,SV537: $i] :
( ( ( c_HOL_Oord__class_Oless @ SV537 @ SV1209 @ SV108 )
= $false )
| ( ( c_lessequals @ SV1209 @ SV921 @ SV108 )
= $false )
| ( ( c_HOL_Oord__class_Oless @ SV537 @ SV921 @ SV108 )
= $true )
| ( ( class_Orderings_Opreorder @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3709]) ).
thf(3739,plain,
! [SV559: $i,SV130: $i,SV941: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV941 @ SV130 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV559 @ SV130 ) )
= $true )
| ( ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV559 @ SV941 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV559 @ SV941 @ SV130 ) @ SV130 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV559 @ SV941 @ SV130 ) @ SV130 )
= $true )
| ( ( class_Orderings_Olinorder @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3710]) ).
thf(3740,plain,
! [SV979: $i,SV180: $i,SV603: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV603 @ SV180 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV979 @ SV180 )
= $false )
| ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV603 @ SV979 @ SV180 ) @ ( c_List_Oset @ SV979 @ SV180 ) @ SV180 )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV603 @ SV979 @ SV180 ) @ SV180 )
= $true )
| ( ( class_Orderings_Olinorder @ SV180 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3711]) ).
thf(3741,plain,
! [SV980: $i,SV181: $i,SV604: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV604 @ SV181 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV980 @ SV181 )
= $false )
| ( ( c_in @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV604 @ SV980 @ SV181 ) @ ( c_List_Oset @ SV604 @ SV181 ) @ SV181 )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV604 @ SV980 @ SV181 ) @ SV181 )
= $true )
| ( ( class_Orderings_Olinorder @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3712]) ).
thf(3742,plain,
! [SV183: $i,SV1231: $i,SV982: $i,SV606: $i,SV1361: $i] :
( ( ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV1361 @ SV606 @ SV982 @ SV1231 @ SV183 ) @ SV1231 )
= $false )
| ( ( c_in @ SV606 @ ( c_List_Oset @ SV982 @ SV1231 ) @ SV1231 )
= $false )
| ( ( class_Orderings_Olinorder @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3713]) ).
thf(3743,plain,
! [SV184: $i,SV607: $i,SV983: $i,SV1362: $i,SV1232: $i] :
( ( ( c_List_Odistinct @ SV1232 @ SV1362 )
= $false )
| ( ( c_in @ SV983 @ ( c_List_Oset @ SV1232 @ SV1362 ) @ SV1362 )
= $true )
| ( ( c_List_Odistinct @ ( c_List_Olinorder__class_Oinsort__key @ SV607 @ SV983 @ SV1232 @ SV1362 @ SV184 ) @ SV1362 )
= $true )
| ( ( class_Orderings_Olinorder @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3714]) ).
thf(3744,plain,
! [SV1024: $i,SV230: $i,SV1257: $i,SV652: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV652 @ SV1257 @ SV230 ) @ SV230 )
= $false )
| ( ( c_in @ SV1024 @ ( c_List_Oset @ SV1257 @ SV230 ) @ SV230 )
= $false )
| ( ( c_lessequals @ SV652 @ SV1024 @ SV230 )
= $true )
| ( ( class_Orderings_Olinorder @ SV230 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3721]) ).
thf(3745,plain,
! [SV1411: $i,SV1368: $i,SV236: $i,SV1261: $i,SV1030: $i,SV658: $i] :
( ( ( c_lessequals @ ( hAPP @ SV658 @ SV1030 ) @ ( hAPP @ SV658 @ SV1261 ) @ SV236 )
= $false )
| ( ( ( c_List_Olinorder__class_Oinsort__key @ SV658 @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SV1411 ) @ SV1411 @ SV236 )
= ( c_List_Olist_OCons @ SV1030 @ ( c_List_Olist_OCons @ SV1261 @ SV1368 @ SV1411 ) @ SV1411 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3722]) ).
thf(3746,plain,
! [SV1370: $i,SV666: $i,SV244: $i,SV1268: $i,SV1037: $i] :
( ( ( c_in @ SV1037 @ ( c_List_Oset @ SV1268 @ SV244 ) @ SV244 )
= $false )
| ( ( ~ ( c_in @ SV666 @ ( c_List_Oset @ SV1370 @ SV244 ) @ SV244 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1370 @ SV1268 @ SV244 ) @ SV244 ) )
= $true )
| ( ( c_lessequals @ SV666 @ SV1037 @ SV244 )
= $true )
| ( ( class_Orderings_Olinorder @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3723]) ).
thf(3747,plain,
! [SV1280: $i,SV282: $i,SV1061: $i,SV703: $i] :
( ( ( c_lessequals @ SV703 @ SV1061 @ SV282 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV703 @ ( c_List_Olist_OCons @ SV1061 @ SV1280 @ SV282 ) @ SV282 ) @ SV282 )
= $true )
| ( ( class_Orderings_Olinorder @ SV282 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3728]) ).
thf(3748,plain,
! [SV705: $i,SV284: $i,SV1063: $i,SV1282: $i] :
( ( ( c_lessequals @ SV1282 @ SV1063 @ SV284 )
= $false )
| ( ( c_lessequals @ SV705 @ SV1282 @ SV284 )
= $false )
| ( ( c_lessequals @ SV705 @ SV1063 @ SV284 )
= $true )
| ( ( class_Orderings_Oorder @ SV284 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3729]) ).
thf(3749,plain,
! [SV1064: $i,SV285: $i,SV1283: $i,SV706: $i] :
( ( ( c_lessequals @ SV706 @ SV1283 @ SV285 )
= $false )
| ( ( c_lessequals @ SV1283 @ SV1064 @ SV285 )
= $false )
| ( ( c_lessequals @ SV706 @ SV1064 @ SV285 )
= $true )
| ( ( class_Orderings_Opreorder @ SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3730]) ).
thf(3750,plain,
! [SV803: $i,SV386: $i,SV1135: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV803 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true )
| ( ( c_List_Odistinct @ SV1135 @ SV386 )
= $false )
| ( ( ( c_List_Oset @ SV803 @ SV386 )
= ( c_List_Oset @ SV1135 @ SV386 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV386 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3731]) ).
thf(3751,plain,
! [SV941: $i,SV130: $i,SV559: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV559 @ SV130 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV941 @ SV130 )
= $false )
| ( ( c_lessequals @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__1 @ SV559 @ SV941 @ SV130 ) @ ( c_List_Osko__List__Xlinorder__class__Xsorted__append__1__2 @ SV559 @ SV941 @ SV130 ) @ SV130 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV559 @ SV941 @ SV130 ) @ SV130 )
= $true )
| ( ( class_Orderings_Olinorder @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3739]) ).
thf(3752,plain,
! [SV1037: $i,SV1268: $i,SV244: $i,SV1370: $i,SV666: $i] :
( ( ( ~ ( c_in @ SV666 @ ( c_List_Oset @ SV1370 @ SV244 ) @ SV244 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1370 @ SV1268 @ SV244 ) @ SV244 ) )
= $true )
| ( ( c_in @ SV1037 @ ( c_List_Oset @ SV1268 @ SV244 ) @ SV244 )
= $false )
| ( ( c_lessequals @ SV666 @ SV1037 @ SV244 )
= $true )
| ( ( class_Orderings_Olinorder @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3746]) ).
thf(3753,plain,
! [SV803: $i,SV386: $i,SV1135: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
= $false )
| ( ( ~ ( c_List_Odistinct @ SV803 @ SV386 )
| ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true )
| ( ( c_List_Odistinct @ SV1135 @ SV386 )
= $false )
| ( ( ( c_List_Oset @ SV803 @ SV386 )
= ( c_List_Oset @ SV1135 @ SV386 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV386 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3750]) ).
thf(3754,plain,
! [SV1037: $i,SV1268: $i,SV244: $i,SV1370: $i,SV666: $i] :
( ( ( c_in @ SV666 @ ( c_List_Oset @ SV1370 @ SV244 ) @ SV244 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1370 @ SV1268 @ SV244 ) @ SV244 ) )
= $true )
| ( ( c_in @ SV1037 @ ( c_List_Oset @ SV1268 @ SV244 ) @ SV244 )
= $false )
| ( ( c_lessequals @ SV666 @ SV1037 @ SV244 )
= $true )
| ( ( class_Orderings_Olinorder @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3752]) ).
thf(3755,plain,
! [SV1135: $i,SV386: $i,SV803: $i] :
( ( ( ~ ( c_List_Odistinct @ SV803 @ SV386 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
= $false )
| ( ( c_List_Odistinct @ SV1135 @ SV386 )
= $false )
| ( ( ( c_List_Oset @ SV803 @ SV386 )
= ( c_List_Oset @ SV1135 @ SV386 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV386 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3753]) ).
thf(3756,plain,
! [SV1037: $i,SV666: $i,SV244: $i,SV1268: $i,SV1370: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1370 @ SV1268 @ SV244 ) @ SV244 )
= $false )
| ( ( c_in @ SV666 @ ( c_List_Oset @ SV1370 @ SV244 ) @ SV244 )
= $false )
| ( ( c_in @ SV1037 @ ( c_List_Oset @ SV1268 @ SV244 ) @ SV244 )
= $false )
| ( ( c_lessequals @ SV666 @ SV1037 @ SV244 )
= $true )
| ( ( class_Orderings_Olinorder @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3754]) ).
thf(3757,plain,
! [SV1135: $i,SV386: $i,SV803: $i] :
( ( ( c_List_Odistinct @ SV803 @ SV386 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
| ( SV803 = SV1135 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
= $false )
| ( ( c_List_Odistinct @ SV1135 @ SV386 )
= $false )
| ( ( ( c_List_Oset @ SV803 @ SV386 )
= ( c_List_Oset @ SV1135 @ SV386 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV386 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3755]) ).
thf(3758,plain,
! [SV1135: $i,SV386: $i,SV803: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 ) )
= $true )
| ( ( SV803 = SV1135 )
= $true )
| ( ( c_List_Odistinct @ SV803 @ SV386 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
= $false )
| ( ( c_List_Odistinct @ SV1135 @ SV386 )
= $false )
| ( ( ( c_List_Oset @ SV803 @ SV386 )
= ( c_List_Oset @ SV1135 @ SV386 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV386 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3757]) ).
thf(3759,plain,
! [SV1135: $i,SV386: $i,SV803: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV803 @ SV386 )
= $false )
| ( ( SV803 = SV1135 )
= $true )
| ( ( c_List_Odistinct @ SV803 @ SV386 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV1135 @ SV386 )
= $false )
| ( ( c_List_Odistinct @ SV1135 @ SV386 )
= $false )
| ( ( ( c_List_Oset @ SV803 @ SV386 )
= ( c_List_Oset @ SV1135 @ SV386 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV386 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3758]) ).
thf(3760,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1015,3759,3756,3751,3749,3748,3747,3745,3744,3743,3742,3741,3740,3738,3737,3736,3735,3734,3733,3732,3727,3726,3725,3724,3720,3719,3718,3717,3716,3715,3705,3702,3701,3700,3699,3698,3697,3696,3695,3694,3693,3692,3691,3690,3689,3687,3686,3685,3684,3682,3681,3680,3679,3678,3677,3676,3675,3674,3673,3672,3669,3667,3666,3665,3660,3659,3658,3656,3652,3650,3649,3646,3641,3638,3637,3636,3634,3633,3632,3631,3630,3629,3628,3627,3626,3625,3624,3623,3620,3619,3616,3614,3612,3611,3609,3608,3606,3604,3600,3598,3597,3588,3583,3580,3578,3577,3576,3575,3572,3557,3555,3551,3550,3548,3545,3543,3540,3539,3538,3537,3535,3531,3530,3515,3514,3513,3512,3511,3510,3509,3501,3500,3491,3484,3483,3481,3480,3479,3478,3477,3474,3469,3464,3461,3460,3454,3449,3448,3446,3442,3441,3440,3434,3429,3428,3427,3422,3420,3419,3414,3413,3411,3393,3378,3371,3370,3369,3367,3363,3362,3361,3360,3358,3357,3355,3351,3350,3349,3346,3336,3335,3332,3331,3330,3328,3324,3321,3309,3306,3303,3284,3283,3278,3275,3273,3270,3268,3267,3265,3263,3259,3256,3252,3249,3246,3244,3241,3234,3228,3217,3215,3210,3209,3208,3206,3203,3200,3197,3192,3169,3163,3162,3148,3143,3131,3125,3124,3122,3120,3116,3109,3102,3101,3099,3098,3095,3086,3078,3058,3057,3056,3052,3046,3045,3044,3040,3038,3030,3023,3020,3019,3018,3016,3014,3013,3012,3006,3005,3004,3001,2998,2996,2988,2981,2980,2976,2975,2971,2970,2953,2946,2935,2934,2933,2932,2931,2929,2928,2927,2925,2924,2923,2922,2921,2920,2919,2918,2915,2914,2913,2912,2907,2906,2905,2903,2897,2895,2894,2882,2869,2868,2863,2855,2824,2814,2811,2810,2809,2799,2798,2795,2792,2786,2785,2724,2709,2708,2707,2706,2702,2688,2687,2686,2685,2684,2683,2680,2679,2678,2677,2676,2674,2673,2672,2671,2670,2597,2590,2587,2586,2577,2576,2575,2574,2573,2572,2571,2570,2569,2555,2552,2551,2550,2549,2548,2525,2510,2509,2506,2505,2484,2481,2480,2471,2468,2467,2443,2441,2428,2421,2420,2418,2416,2415,2409,2404,2403,2377,2352,2340,2328,2319,2318,2317,2315,2287,2215,2204,2203,2202,2201,2200,2175,2172,2171,2163,2161,2158,2157,2147,2138,2135,2121,2114,2104,2103,2102,2101,2010,2009,2008,2002,1978,1956,1906,1902,1901,1900,1881,1845,1797,1791,1772,1756,1723,1685,1634,1587,1585,1582,1578,1577,1525,1467,1466,1465,1451,1446,1443,1436,1434,1433,1432,1352,1351,1350,1349,1348,1347,1346,1243]) ).
thf(3761,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3760]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV772-1 : 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
% 0.11/0.18 % Computer : n014.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Oct 6 16:43:41 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 157.19/26.45 ...
% 157.19/26.45
% 157.19/26.45 No.of.Axioms: 450
% 157.19/26.45
% 157.19/26.45 Length.of.Defs: 0
% 157.19/26.45
% 157.19/26.45 Contains.Choice.Funs: false
% 157.19/26.45 ..............................................................................................................................
% 157.19/26.45
% 157.19/26.45 ********************************
% 157.19/26.45 * All subproblems solved! *
% 157.19/26.45 ********************************
% 157.19/26.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:450,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:298,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3760,loop_count:0,foatp_calls:1,translation:fof_full)
% 157.19/26.45
% 157.19/26.45 %**** Beginning of derivation protocol ****
% 157.19/26.45 % SZS output start CNFRefutation
% See solution above
% 157.19/26.48
% 157.19/26.48 %**** End of derivation protocol ****
% 157.19/26.48 %**** no. of clauses in derivation: 3761 ****
% 157.19/26.48 %**** clause counter: 3760 ****
% 157.19/26.48
% 157.19/26.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:450,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:298,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3760,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------