%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV779-1 : 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 : n015.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 10:58:56 AM UTC 2026
% Result : Unsatisfiable 43.11s 7.44s
% Output : CNFRefutation 43.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 444
% Syntax : Number of formulae : 3647 (2675 unt; 0 typ; 0 def)
% Number of atoms : 16605 (7688 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 50094 (3096 ~;4286 |; 0 &;42712 @)
% ( 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 : 106 ( 103 usr; 10 con; 0-5 aty)
% Number of variables : 13667 ( 0 ^;13667 !; 0 ?;13667 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Divides_Odiv__class_Omod,type,
c_Divides_Odiv__class_Omod: $i > $i > $i > $i ).
thf(tp_c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: $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_Finite__Set_Osetsum,type,
c_Finite__Set_Osetsum: $i > $i > $i > $i > $i ).
thf(tp_c_Fun_Oinj__on,type,
c_Fun_Oinj__on: $i > $i > $i > $i > $o ).
thf(tp_c_HOL_Ominus__class_Ominus,type,
c_HOL_Ominus__class_Ominus: $i > $i > $i > $i ).
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_Odistinct,type,
c_List_Odistinct: $i > $i > $o ).
thf(tp_c_List_Odrop,type,
c_List_Odrop: $i > $i > $i > $i ).
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_Ofiltermap,type,
c_List_Ofiltermap: $i > $i > $i > $i > $i ).
thf(tp_c_List_Ofoldl,type,
c_List_Ofoldl: $i > $i > $i > $i > $i > $i ).
thf(tp_c_List_Ofoldr,type,
c_List_Ofoldr: $i > $i > $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_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_Olist__case,type,
c_List_Olist_Olist__case: $i > $i > $i > $i > $i > $i ).
thf(tp_c_List_Olist_Olist__rec,type,
c_List_Olist_Olist__rec: $i > $i > $i > $i > $i > $i ).
thf(tp_c_List_Olist__all,type,
c_List_Olist__all: $i > $i > $i > $o ).
thf(tp_c_List_Olist__all2,type,
c_List_Olist__all2: $i > $i > $i > $i > $i > $o ).
thf(tp_c_List_Olist__ex,type,
c_List_Olist__ex: $i > $i > $i > $o ).
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_Olistrelp,type,
c_List_Olistrelp: $i > $i > $i > $i > $o ).
thf(tp_c_List_Olistsp,type,
c_List_Olistsp: $i > $i > $i > $o ).
thf(tp_c_List_Olistsum,type,
c_List_Olistsum: $i > $i > $i ).
thf(tp_c_List_Omap,type,
c_List_Omap: $i > $i > $i > $i > $i ).
thf(tp_c_List_Onull,type,
c_List_Onull: $i > $i > $o ).
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 ).
thf(tp_c_List_Orotate,type,
c_List_Orotate: $i > $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_Osublist,type,
c_List_Osublist: $i > $i > $i > $i ).
thf(tp_c_List_Otake,type,
c_List_Otake: $i > $i > $i > $i ).
thf(tp_c_List_Otl,type,
c_List_Otl: $i > $i > $i ).
thf(tp_c_Map_Omap__upds,type,
c_Map_Omap__upds: $i > $i > $i > $i > $i > $i ).
thf(tp_c_Message_Oagent_OFriend,type,
c_Message_Oagent_OFriend: $i > $i ).
thf(tp_c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
thf(tp_c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
thf(tp_c_Message_Oagent_Oagent__case,type,
c_Message_Oagent_Oagent__case: $i > $i > $i > $i > $i > $i ).
thf(tp_c_Message_Oagent_Oagent__rec,type,
c_Message_Oagent_Oagent__rec: $i > $i > $i > $i > $i > $i ).
thf(tp_c_Message_Osko__Message__Xagent__Xcase__cong__1__1,type,
c_Message_Osko__Message__Xagent__Xcase__cong__1__1: $i > $i > $i > $i > $i ).
thf(tp_c_NS__Shared__Mirabelle_Ons__sharedp,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).
thf(tp_c_Nat_Osize__class_Osize,type,
c_Nat_Osize__class_Osize: $i > $i > $i ).
thf(tp_c_Set_Oinsert,type,
c_Set_Oinsert: $i > $i > $i > $i ).
thf(tp_c_fequal,type,
c_fequal: $i > $i ).
thf(tp_c_lessequals,type,
c_lessequals: $i > $i > $i > $o ).
thf(tp_class_Divides_Oring__div,type,
class_Divides_Oring__div: $i > $o ).
thf(tp_class_Divides_Osemiring__div,type,
class_Divides_Osemiring__div: $i > $o ).
thf(tp_class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
thf(tp_class_OrderedGroup_Oab__group__add,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
thf(tp_class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
thf(tp_class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $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_hAPP,type,
hAPP: $i > $i > $i ).
thf(tp_hBOOL,type,
hBOOL: $i > $o ).
thf(tp_t_a,type,
t_a: $i ).
thf(tp_t_b,type,
t_b: $i ).
thf(tp_tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
thf(tp_tc_List_Olist,type,
tc_List_Olist: $i > $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_sko__List__Xconcat__Xinduct__2,type,
v_sko__List__Xconcat__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xdistinct__Xinduct__1,type,
v_sko__List__Xdistinct__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__Xdistinct__Xinduct__2,type,
v_sko__List__Xdistinct__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__XdropWhile__Xinduct__1,type,
v_sko__List__XdropWhile__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__XdropWhile__Xinduct__2,type,
v_sko__List__XdropWhile__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xfoldl__Xinduct__2,type,
v_sko__List__Xfoldl__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xlast__Xinduct__1,type,
v_sko__List__Xlast__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__Xlast__Xinduct__2,type,
v_sko__List__Xlast__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xlist__Xinduct__1,type,
v_sko__List__Xlist__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__Xlist__Xinduct__2,type,
v_sko__List__Xlist__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xlist__update__Xinduct__1,type,
v_sko__List__Xlist__update__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__Xlist__update__Xinduct__2,type,
v_sko__List__Xlist__update__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xlistset__Xinduct__1,type,
v_sko__List__Xlistset__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__Xlistset__Xinduct__2,type,
v_sko__List__Xlistset__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xlistsum__Xinduct__1,type,
v_sko__List__Xlistsum__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__Xlistsum__Xinduct__2,type,
v_sko__List__Xlistsum__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xmap__Xinduct__2,type,
v_sko__List__Xmap__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xremove1__Xinduct__1,type,
v_sko__List__Xremove1__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__Xremove1__Xinduct__2,type,
v_sko__List__Xremove1__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__XremoveAll__Xinduct__1,type,
v_sko__List__XremoveAll__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__XremoveAll__Xinduct__2,type,
v_sko__List__XremoveAll__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__XtakeWhile__Xinduct__1,type,
v_sko__List__XtakeWhile__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__XtakeWhile__Xinduct__2,type,
v_sko__List__XtakeWhile__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xtake__Xinduct__2,type,
v_sko__List__Xtake__Xinduct__2: $i > $i ).
thf(tp_v_sko__List__Xzip__Xinduct__1,type,
v_sko__List__Xzip__Xinduct__1: $i > $i ).
thf(tp_v_sko__List__Xzip__Xinduct__2,type,
v_sko__List__Xzip__Xinduct__2: $i > $i ).
thf(tp_v_sko__Message__Xagent__Xsplit__1,type,
v_sko__Message__Xagent__Xsplit__1: $i > $i > $i > $i ).
thf(tp_v_sko__Message__Xagent__Xsplit__asm__1,type,
v_sko__Message__Xagent__Xsplit__asm__1: $i > $i > $i > $i ).
thf(1,axiom,
! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_X ) @ V_Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
thf(2,axiom,
! [T_a: $i,V_x: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_x ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
thf(3,axiom,
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,
class_Divides_Osemiring__div @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).
thf(11,axiom,
class_OrderedGroup_Ocomm__monoid__add @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
thf(12,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(13,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(14,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(15,axiom,
! [T_a: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_ONil @ T_a ) )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_1) ).
thf(16,axiom,
! [T_a: $i,V_xs: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( 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(17,axiom,
! [V_xs: $i,T_a: $i] :
( V_xs
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__swap_0) ).
thf(18,axiom,
! [T_a: $i,V_ys: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) )
= V_ys ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__swap_1) ).
thf(19,axiom,
! [T_a: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) )
= V_xs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__rev__ident_0) ).
thf(20,axiom,
! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) )
| ( V_xs = V_ys ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__rev__conv_0) ).
thf(21,axiom,
! [T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_0) ).
thf(22,axiom,
! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).
thf(23,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(24,axiom,
! [V_x: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( 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_1) ).
thf(25,axiom,
! [T_a: $i,V_x: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ 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(26,axiom,
! [V_x: $i,T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
!= ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) )
| ( 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(27,axiom,
! [T_a: $i,V_xs: $i,V_x: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( 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(28,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(29,axiom,
! [V_evs: $i,V_A: $i,V_X: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ V_evs @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__Gets__rev_0) ).
thf(30,axiom,
! [V_P: $i,V_xs: $i,T_b: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ V_ys @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__rev1_0) ).
thf(31,axiom,
! [V_P: $i,T_a: $i,V_xs: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__rev1_1) ).
thf(32,axiom,
! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__append_0) ).
thf(33,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__rev_0) ).
thf(34,axiom,
! [T_a: $i,V_xs: $i] :
( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__rev_1) ).
thf(35,axiom,
! [T_a: $i,V_A: $i] : ( c_Fun_Oinj__on @ ( c_List_Orev @ T_a ) @ V_A @ ( tc_List_Olist @ T_a ) @ ( tc_List_Olist @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__rev_0) ).
thf(36,axiom,
! [T_a: $i,V_f: $i,V_xs: $i,T_b: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) )
= ( c_List_Omap @ V_f @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_xs ) @ T_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__map_0) ).
thf(37,axiom,
! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__rev_0) ).
thf(38,axiom,
! [V_P: $i,T_a: $i,V_xs: $i,T_b: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__rev_1) ).
thf(39,axiom,
! [T_a: $i,V_n: $i,V_x: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) )
= ( c_List_Oreplicate @ V_n @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__replicate_0) ).
thf(40,axiom,
! [T_a: $i,V_xs: $i] :
( ( c_List_Oset @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev_0) ).
thf(41,axiom,
! [T_a: $i,V_xs: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ T_a )
| ( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Olistsum @ V_xs @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_listsum__rev_0) ).
thf(42,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all__rev_0) ).
thf(43,axiom,
! [V_P: $i,T_a: $i,V_xs: $i] :
( ( c_List_Olist__all @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all__rev_1) ).
thf(44,axiom,
! [T_a: $i,V_xs: $i] :
( ( c_Nat_Osize__class_Osize @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__rev_0) ).
thf(45,axiom,
! [T_a: $i,V_P: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) )
= ( c_List_Ofilter @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__filter_0) ).
thf(46,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(47,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
thf(48,axiom,
! [V_nat: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ V_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).
thf(49,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ V_f3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_2) ).
thf(50,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
thf(51,axiom,
! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__rec @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OSpy @ T_a )
= V_f3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Orecs_I3_J_0) ).
thf(52,axiom,
! [V_nat: $i] :
( ( c_Message_Oagent_OFriend @ V_nat )
!= c_Message_Oagent_OSpy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I6_J_0) ).
thf(53,axiom,
! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OSpy @ T_a )
= V_f3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I10_J_0) ).
thf(54,axiom,
! [T_a: $i,V_ys: $i,V_y: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ 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(55,axiom,
! [T_a: $i,V_xs: $i,V_y: $i,V_ys: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) @ ( 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(56,axiom,
! [T_a: $i,V_x: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( 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(57,axiom,
! [T_a: $i,V_xs: $i] :
( ( ( c_List_Olast @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ 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(58,axiom,
! [T_a: $i,V_xs: $i] :
( ( ( c_List_Ohd @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ 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(59,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(60,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xmap__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map_Oinduct_0) ).
thf(61,axiom,
! [V_r: $i,T_a: $i] : ( c_List_Olistrelp @ V_r @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_listrelp_ONil_0) ).
thf(62,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(63,axiom,
! [T_a: $i,V_f: $i,T_b: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Olist_ONil @ T_b ) @ T_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__map__conv_1) ).
thf(64,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlist__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinduct_0) ).
thf(65,axiom,
! [V_n: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__is__Nil__conv_1) ).
thf(66,axiom,
! [V_f1: $i,V_f2: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_f1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I4_J_0) ).
thf(67,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xremove1__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1_Oinduct_0) ).
thf(68,axiom,
! [V_m: $i,T_a: $i,V_bs: $i,T_b: $i] :
( ( c_Map_Omap__upds @ V_m @ ( c_List_Olist_ONil @ T_a ) @ V_bs @ T_a @ T_b )
= V_m ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upds__Nil1_0) ).
thf(69,axiom,
! [V_m: $i,V_as: $i,T_b: $i,T_a: $i] :
( ( c_Map_Omap__upds @ V_m @ V_as @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_m ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upds__Nil2_0) ).
thf(70,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xdistinct__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Oinduct_0) ).
thf(71,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(72,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(73,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(74,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xconcat__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_concat_Oinduct_0) ).
thf(75,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(76,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(77,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(78,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(79,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(80,axiom,
! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofiltermap @ 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_filtermap_Osimps_I1_J_0) ).
thf(81,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(82,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xtake__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take_Oinduct_0) ).
thf(83,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__XdropWhile__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dropWhile_Oinduct_0) ).
thf(84,axiom,
! [V_f1: $i,V_f2: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__rec @ V_f1 @ V_f2 @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_f1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Orecs_I1_J_0) ).
thf(85,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlistset__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_listset_Oinduct_0) ).
thf(86,axiom,
! [T_a: $i,V_A: $i] :
( ( c_List_Osublist @ ( c_List_Olist_ONil @ T_a ) @ V_A @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sublist__nil_0) ).
thf(87,axiom,
! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ 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_map__is__Nil__conv_1) ).
thf(88,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xzip__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zip_Oinduct_0) ).
thf(89,axiom,
! [V_f: $i,T_b: $i,V_a: $i,T_a: $i] :
( ( c_List_Ofoldr @ V_f @ ( c_List_Olist_ONil @ T_b ) @ V_a @ T_b @ T_a )
= V_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldr_Osimps_I1_J_0) ).
thf(90,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osplit_0) ).
thf(91,axiom,
! [T_a: $i] : ( c_List_Onull @ ( c_List_Olist_ONil @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__null_0) ).
thf(92,axiom,
! [V_P: $i,T_a: $i] :
~ ( c_List_Olist__ex @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__ex_Osimps_I1_J_0) ).
thf(93,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(94,axiom,
! [V_P: $i,T_a: $i] : ( c_List_Olist__all @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all_Osimps_I1_J_0) ).
thf(95,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xfoldl__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl_Oinduct_0) ).
thf(96,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlist__update__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update_Oinduct_0) ).
thf(97,axiom,
! [V_A: $i,T_a: $i] : ( c_List_Olistsp @ V_A @ ( c_List_Olist_ONil @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_listsp_ONil_0) ).
thf(98,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__XtakeWhile__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile_Oinduct_0) ).
thf(99,axiom,
! [V_n: $i,T_a: $i] :
( ( c_List_Otake @ V_n @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__eq__Nil_2) ).
thf(100,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlast__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last_Oinduct_0) ).
thf(101,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(102,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(103,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(104,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(105,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(106,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(107,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(108,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(109,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__XremoveAll__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_removeAll_Oinduct_0) ).
thf(110,axiom,
! [T_a: $i,V_f: $i,V_xs: $i,T_b: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__map__conv_0) ).
thf(111,axiom,
! [V_n: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Nil_0) ).
thf(112,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(113,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlistsum__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_listsum_Oinduct_0) ).
thf(114,axiom,
! [V_f: $i,V_a: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofoldl @ V_f @ V_a @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).
thf(115,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(116,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(117,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(118,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(119,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(120,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(121,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(122,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(123,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_xa: $i,V_xb: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_xa @ V_xb @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ ( hAPP @ V_f2 @ V_xa ) @ V_xb ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osplit__asm_1) ).
thf(124,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_a: $i,V_list: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_a @ V_list @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ ( hAPP @ V_f2 @ V_a ) @ V_list ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osplit_1) ).
thf(125,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orotate1 @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Orotate @ V_n @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate1__rotate__swap_0) ).
thf(126,axiom,
! [V_P: $i,V_ys: $i,T_a: $i,V_xs: $i] :
( ( c_List_Olist__all @ V_P @ V_ys @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all__append_1) ).
thf(127,axiom,
! [V_P: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all__append_0) ).
thf(128,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(129,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(130,axiom,
! [T_a: $i,V_x: $i] : ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_x @ V_x @ T_a @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__eq_0) ).
thf(131,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(132,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(133,axiom,
! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__rec @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OServer @ T_a )
= V_f1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Orecs_I1_J_0) ).
thf(134,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(135,axiom,
! [V_n: $i,V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Odrop @ V_n @ V_xs @ T_b ) @ T_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__map_0) ).
thf(136,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(137,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(138,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(139,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all_Osimps_I2_J_2) ).
thf(140,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(141,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(142,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(143,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(144,axiom,
! [V_ys_092_060_094isub_0621: $i,T_a: $i,V_xs_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) @ T_a )
!= V_ys_092_060_094isub_0622 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a )
!= V_ys_092_060_094isub_0621 )
| ( V_xs_092_060_094isub_0621
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) )
| ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) @ T_a )
= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_6) ).
thf(145,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(146,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(147,axiom,
! [V_xs: $i,V_x: $i,V_ys: $i,T_a: $i,V_y: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ V_ys @ T_a ) @ T_a ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_y @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__length_0) ).
thf(148,axiom,
! [V_f1: $i,V_f2: $i,V_f3: $i,V_nat: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__rec @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_nat ) @ T_a )
= ( hAPP @ V_f2 @ V_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Orecs_I2_J_0) ).
thf(149,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(150,axiom,
! [V_f: $i,V_x: $i,V_xs: $i,T_b: $i,V_a: $i,T_a: $i] :
( ( c_List_Ofoldr @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ V_a @ T_b @ T_a )
= ( hAPP @ ( hAPP @ V_f @ V_x ) @ ( c_List_Ofoldr @ V_f @ V_xs @ V_a @ T_b @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldr_Osimps_I2_J_0) ).
thf(151,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
~ ( c_List_Onull @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Onull_Osimps_I2_J_0) ).
thf(152,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_xa: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_xa ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ V_xa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit__asm_1) ).
thf(153,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_nat: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_nat ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ V_nat ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_1) ).
thf(154,axiom,
! [V_n: $i,V_x: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ ( tc_List_Olist @ T_a ) )
= V_n ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__replicate_0) ).
thf(155,axiom,
! [V_A: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olistsp @ V_A @ V_ys @ T_a )
| ~ ( c_List_Olistsp @ V_A @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__in__listsp__conv_2) ).
thf(156,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__rotate_1) ).
thf(157,axiom,
! [V_xs: $i,T_a: $i,V_n: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__rotate_0) ).
thf(158,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(159,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(160,axiom,
! [V_xs: $i,T_b: $i,V_f: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_b )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__map_0) ).
thf(161,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rotate_0) ).
thf(162,axiom,
! [V_f1: $i,V_f2: $i,V_a: $i,V_list: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__rec @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_a @ V_list @ T_b ) @ T_a @ T_b )
= ( hAPP @ ( hAPP @ ( hAPP @ V_f2 @ V_a ) @ V_list ) @ ( c_List_Olist_Olist__rec @ V_f1 @ V_f2 @ V_list @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Orecs_I2_J_0) ).
thf(163,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(164,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(165,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(166,axiom,
! [V_P: $i,V_n: $i,V_as: $i,T_a: $i,V_bs: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Odrop @ V_n @ V_as @ T_a ) @ ( c_List_Odrop @ V_n @ V_bs @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_as @ V_bs @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__dropI_0) ).
thf(167,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(168,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OServer @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_0) ).
thf(169,axiom,
! [V_f: $i,V_xs: $i,V_ys: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Oappend @ V_xs @ V_ys @ T_b ) @ T_b @ T_a )
= ( c_List_Oappend @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ ( c_List_Omap @ V_f @ V_ys @ T_b @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__append_0) ).
thf(170,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(171,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(172,axiom,
! [V_xs: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate1 @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__rotate1_0) ).
thf(173,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__rotate_0) ).
thf(174,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(175,axiom,
! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i,V_us: $i,V_vs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ V_us @ V_vs @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_us @ T_a ) @ ( c_List_Oappend @ V_ys @ V_vs @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append_1) ).
thf(176,axiom,
! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i,V_us: $i,V_vs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_us @ T_a ) @ ( c_List_Oappend @ V_ys @ V_vs @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append_0) ).
thf(177,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(178,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(179,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(180,axiom,
! [V_xs: $i,T_a: $i,V_zs: $i] :
( ( V_xs
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_zs @ T_a ) )
| ( ( c_List_Oappend @ V_xs @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_zs @ T_a ) @ T_a )
= V_zs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__conv__conj_2) ).
thf(181,axiom,
! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_m: $i,V_zs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( ( c_Map_Omap__upds @ V_m @ V_xs @ ( c_List_Oappend @ V_ys @ V_zs @ T_b ) @ T_a @ T_b )
= ( c_Map_Omap__upds @ V_m @ V_xs @ V_ys @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upds__append2__drop_0) ).
thf(182,axiom,
! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_m: $i,V_zs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( ( c_Map_Omap__upds @ V_m @ ( c_List_Oappend @ V_xs @ V_zs @ T_a ) @ V_ys @ T_a @ T_b )
= ( c_Map_Omap__upds @ V_m @ V_xs @ V_ys @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upds__append__drop_0) ).
thf(183,axiom,
! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i,V_ys: $i] :
( ( ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a )
!= ( c_List_Omap @ V_f @ V_ys @ T_b @ T_a ) )
| ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_b ) )
= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__eq__imp__length__eq_0) ).
thf(184,axiom,
! [V_xs: $i,V_I: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Osublist @ V_xs @ V_I @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__sublistI_0) ).
thf(185,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(186,axiom,
! [V_r: $i,V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( c_List_Olistrelp @ V_r @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olistrelp @ V_r @ V_xs @ V_ys @ T_a )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_r @ V_x ) @ V_y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_listrelp_OCons_0) ).
thf(187,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(188,axiom,
! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__def_0) ).
thf(189,axiom,
! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( c_List_Olist__ex @ V_P @ V_xs @ T_a )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_List_Olist__ex @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__ex_Osimps_I2_J_0) ).
thf(190,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__ex @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olist__ex @ V_P @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__ex_Osimps_I2_J_2) ).
thf(191,axiom,
! [V_P: $i,V_x: $i,V_xa: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xa @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons2_3) ).
thf(192,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_xa: $i,V_xb: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_xb @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_xa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons1_3) ).
thf(193,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons_2) ).
thf(194,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(195,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__ex @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__ex_Osimps_I2_J_1) ).
thf(196,axiom,
! [V_f: $i,V_xs: $i,V_ys: $i,T_b: $i,V_a: $i,T_a: $i] :
( ( c_List_Ofoldr @ V_f @ ( c_List_Oappend @ V_xs @ V_ys @ T_b ) @ V_a @ T_b @ T_a )
= ( c_List_Ofoldr @ V_f @ V_xs @ ( c_List_Ofoldr @ V_f @ V_ys @ V_a @ T_b @ T_a ) @ T_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldr__append_0) ).
thf(197,axiom,
! [V_f: $i,V_n: $i,V_x: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Oreplicate @ V_n @ V_x @ T_b ) @ T_b @ T_a )
= ( c_List_Oreplicate @ V_n @ ( hAPP @ V_f @ V_x ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__replicate_0) ).
thf(198,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(199,axiom,
! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__map_0) ).
thf(200,axiom,
! [V_xs: $i,T_a: $i,V_ys: $i] :
( V_xs
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__conv__conj_0) ).
thf(201,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_xs @ T_a )
!= V_xs )
| ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__remdups__eq_1) ).
thf(202,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) )
| ( ( c_List_Oremdups @ V_xs @ T_a )
= V_xs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__remdups__eq_0) ).
thf(203,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(204,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(205,axiom,
! [V_n: $i,V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Orotate @ V_n @ V_xs @ T_b ) @ T_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__map_0) ).
thf(206,axiom,
! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i,V_x: $i,V_y: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons_1) ).
thf(207,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(208,axiom,
! [T_a: $i,V_n: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__take_0) ).
thf(209,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(210,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(211,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(212,axiom,
! [V_A: $i,V_ys: $i,T_a: $i,V_xs: $i] :
( ( c_List_Olistsp @ V_A @ V_ys @ T_a )
| ~ ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__in__listsp__conv_1) ).
thf(213,axiom,
! [V_A: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Olistsp @ V_A @ V_xs @ T_a )
| ~ ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__in__listsp__conv_0) ).
thf(214,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(215,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(216,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(217,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(218,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(219,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(220,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(221,axiom,
! [V_ys: $i,T_b: $i,V_P: $i,T_a: $i] :
( ( V_ys
= ( c_List_Olist_ONil @ T_b ) )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Nil_0) ).
thf(222,axiom,
! [V_xs: $i,T_a: $i,V_P: $i,T_b: $i] :
( ( V_xs
= ( c_List_Olist_ONil @ T_a ) )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Nil2_0) ).
thf(223,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Orotate @ V_n @ 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_rotate__is__Nil__conv_0) ).
thf(224,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(225,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(226,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(227,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(228,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(229,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(230,axiom,
! [V_xs: $i,T_a: $i] :
( ( V_xs
= ( c_List_Olist_ONil @ T_a ) )
| ~ ( c_List_Onull @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__null_1) ).
thf(231,axiom,
! [V_P: $i,T_a: $i,T_b: $i] : ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Nil_1) ).
thf(232,axiom,
! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__is__Nil__conv_0) ).
thf(233,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(234,axiom,
! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Message_Oagent_OFriend @ V_nat )
!= ( c_Message_Oagent_OFriend @ V_nat_H ) )
| ( V_nat = V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Oinject_0) ).
thf(235,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(236,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(237,axiom,
! [V_f: $i,V_a: $i,V_xs: $i,V_ys: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofoldl @ V_f @ V_a @ ( c_List_Oappend @ V_xs @ V_ys @ T_b ) @ T_a @ T_b )
= ( c_List_Ofoldl @ V_f @ ( c_List_Ofoldl @ V_f @ V_a @ V_xs @ T_a @ T_b ) @ V_ys @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__append_0) ).
thf(238,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(239,axiom,
! [V_i: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Otake @ V_i @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__take_0) ).
thf(240,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(241,axiom,
! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_ys @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all__append_2) ).
thf(242,axiom,
! [V_f1: $i,V_f2: $i,V_f3: $i,V_nat: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_nat ) @ T_a )
= ( hAPP @ V_f2 @ V_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I9_J_0) ).
thf(243,axiom,
! [V_f: $i,V_xs: $i,V_k: $i,V_y: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist__update @ V_xs @ V_k @ V_y @ T_b ) @ T_b @ T_a )
= ( c_List_Olist__update @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ V_k @ ( hAPP @ V_f @ V_y ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__update_0) ).
thf(244,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(245,axiom,
! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__list__update_0) ).
thf(246,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(247,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(248,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(249,axiom,
! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i,V_us: $i,V_vs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_us @ T_a ) @ ( c_List_Oappend @ V_ys @ V_vs @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_us @ V_vs @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append_2) ).
thf(250,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(251,axiom,
! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all_Osimps_I2_J_0) ).
thf(252,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(253,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(254,axiom,
! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all_Osimps_I2_J_1) ).
thf(255,axiom,
! [V_i: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Odrop @ V_i @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__drop_0) ).
thf(256,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(257,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oappend @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
= V_xs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__take__drop__id_0) ).
thf(258,axiom,
! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
| ~ ( c_Fun_Oinj__on @ V_f @ ( c_List_Oset @ V_xs @ T_b ) @ T_b @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__map_2) ).
thf(259,axiom,
! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OServer @ T_a )
= V_f1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I8_J_0) ).
thf(260,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(261,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(262,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(263,axiom,
! [V_P: $i,V_x: $i,V_y: $i,V_xs: $i,T_a: $i,V_ys: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons_0) ).
thf(264,axiom,
! [V_nat_H: $i] :
( ( c_Message_Oagent_OFriend @ V_nat_H )
!= c_Message_Oagent_OServer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I3_J_0) ).
thf(265,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(266,axiom,
! [V_f1: $i,V_f2: $i,V_a: $i,V_list: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_a @ V_list @ T_b ) @ T_a @ T_b )
= ( hAPP @ ( hAPP @ V_f2 @ V_a ) @ V_list ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I5_J_0) ).
thf(267,axiom,
! [V_f: $i,V_x: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_OCons @ ( hAPP @ V_f @ V_x ) @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map_Osimps_I2_J_0) ).
thf(268,axiom,
! [V_f: $i,V_xa: $i,V_xb: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ V_f @ V_xa ) @ ( c_List_Omap @ V_f @ V_xb @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__map__conv_3) ).
thf(269,axiom,
! [V_f: $i,V_x: $i,V_xa: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_OCons @ ( hAPP @ V_f @ V_x ) @ ( c_List_Omap @ V_f @ V_xa @ T_b @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__eq__Cons__conv_3) ).
thf(270,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(271,axiom,
! [V_ys: $i,V_xs: $i,T_a: $i] :
( V_ys
= ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__conv__conj_1) ).
thf(272,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(273,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(274,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(275,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(276,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(277,axiom,
! [V_xa: $i,T_b: $i,V_ys: $i,T_a: $i,V_x: $i,V_xs: $i,V_P: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xa @ ( tc_List_Olist @ T_b ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_a ) ) )
| ( ( c_Nat_Osize__class_Osize @ V_x @ ( tc_List_Olist @ T_b ) )
!= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) )
| ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ ( c_List_Oappend @ V_x @ V_xa @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_ys @ V_xa @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_x @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append1_5) ).
thf(278,axiom,
! [V_xa: $i,T_a: $i,V_zs: $i,T_b: $i,V_x: $i,V_ys: $i,V_P: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xa @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_zs @ ( tc_List_Olist @ T_b ) ) )
| ( ( c_Nat_Osize__class_Osize @ V_x @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_x @ V_xa @ T_a ) @ ( c_List_Oappend @ V_ys @ V_zs @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xa @ V_zs @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_x @ V_ys @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append2_5) ).
thf(279,axiom,
! [V_P: $i,V_a: $i,V_c: $i,T_a: $i,V_b: $i,V_d: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_a @ V_c @ T_a ) @ ( c_List_Oappend @ V_b @ V_d @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_c @ V_d @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_a @ V_b @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__appendI_0) ).
thf(280,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(281,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(282,axiom,
! [V_f: $i,V_a: $i,V_x: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofoldl @ V_f @ V_a @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_a @ T_b )
= ( c_List_Ofoldl @ V_f @ ( hAPP @ ( hAPP @ V_f @ V_a ) @ V_x ) @ V_xs @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_foldl__Cons_0) ).
thf(283,axiom,
! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( V_xs = V_ys )
| ~ ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_xs @ V_ys @ T_a @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__eq_1) ).
thf(284,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(285,axiom,
! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_Fun_Oinj__on @ V_f @ ( c_List_Oset @ V_xs @ T_b ) @ T_b @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__map_1) ).
thf(286,axiom,
! [V_P: $i,V_n: $i,V_xs: $i,T_a: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ ( c_List_Otake @ V_n @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__takeI_0) ).
thf(287,axiom,
! [V_nat_H: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).
thf(288,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(289,axiom,
! [V_n: $i,V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Otake @ V_n @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Otake @ V_n @ V_xs @ T_b ) @ T_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__map_0) ).
thf(290,axiom,
! [T_a: $i,V_n: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__drop_0) ).
thf(291,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(292,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ V_xs @ T_a )
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_xs @ T_a ) @ ( c_List_Otake @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__drop__take_0) ).
thf(293,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_3) ).
thf(294,axiom,
! [V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g3: $i] :
( ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ T_a ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_x @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_x = c_Message_Oagent_OServer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Ocase__cong_0) ).
thf(295,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit__asm_3) ).
thf(296,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(297,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(298,axiom,
! [T_a: $i,V_i: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Odrop @ V_i @ V_xs @ T_a ) )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_i @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__drop_0) ).
thf(299,axiom,
! [T_a: $i,V_i: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Otake @ V_i @ V_xs @ T_a ) )
= ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_i @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__take_0) ).
thf(300,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(301,axiom,
! [T_b: $i,V_f: $i,V_xs: $i,T_a: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ T_b )
| ( ( c_Finite__Set_Osetsum @ V_f @ ( c_List_Oset @ V_xs @ T_a ) @ T_a @ T_b )
= ( c_List_Olistsum @ ( c_List_Omap @ V_f @ V_xs @ T_a @ T_b ) @ T_b ) )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setsum__set__distinct__conv__listsum_0) ).
thf(302,axiom,
! [V_xs_092_060_094isub_0621: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( V_xs_092_060_094isub_0621
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) )
| ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) @ T_a )
= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_5) ).
thf(303,axiom,
! [V_ys_092_060_094isub_0621: $i,T_a: $i,V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i] :
( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a )
!= V_ys_092_060_094isub_0621 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat )
| ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a ) @ V_xs_092_060_094isub_0622 @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_4) ).
thf(304,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlast__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_last_Oinduct_1) ).
thf(305,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_listsum_Oinduct_1) ).
thf(306,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ V_P ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Oinduct_1) ).
thf(307,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ V_P ) @ ( v_sko__List__Xremove1__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remove1_Oinduct_1) ).
thf(308,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlistset__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_listset_Oinduct_1) ).
thf(309,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ V_P ) @ ( v_sko__List__Xzip__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zip_Oinduct_1) ).
thf(310,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ V_P ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dropWhile_Oinduct_1) ).
thf(311,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ V_P ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile_Oinduct_1) ).
thf(312,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ V_P ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_removeAll_Oinduct_1) ).
thf(313,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update_Oinduct_1) ).
thf(314,axiom,
! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlist__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinduct_1) ).
thf(315,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(316,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_8) ).
thf(317,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit__asm_8) ).
thf(318,axiom,
! [V_xb: $i,V_f2: $i,V_g2: $i,T_a: $i,V_xa: $i,V_x: $i] :
( ( V_xb
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) ) )
| ( ( c_Message_Oagent_Oagent__case @ V_xa @ V_f2 @ V_x @ V_xb @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_xa @ V_g2 @ V_x @ V_xb @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Ocase__cong_5) ).
thf(319,axiom,
! [V_f2: $i,V_xa: $i,V_g2: $i,T_a: $i,V_f1: $i,V_x: $i,V_g1: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_xa = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_x @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_x @ V_xa @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Ocase__cong_3) ).
thf(320,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit__asm_6) ).
thf(321,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_6) ).
thf(322,axiom,
! [V_xs: $i,V_I: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Osublist @ V_xs @ V_I @ 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__sublist__subset_0) ).
thf(323,axiom,
! [V_i: $i,V_k: $i,V_x: $i,T_a: $i] :
( ( c_List_Odrop @ V_i @ ( c_List_Oreplicate @ V_k @ V_x @ T_a ) @ T_a )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ V_k @ V_i @ tc_nat ) @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__replicate_0) ).
thf(324,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(325,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_9) ).
thf(326,axiom,
! [V_f2: $i,V_xa: $i,V_g2: $i,T_a: $i,V_x: $i,V_f3: $i,V_g3: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) )
| ( ( c_Message_Oagent_Oagent__case @ V_x @ V_f2 @ V_f3 @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_x @ V_g2 @ V_g3 @ V_xa @ T_a ) )
| ( V_xa = c_Message_Oagent_OSpy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Ocase__cong_6) ).
thf(327,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit__asm_9) ).
thf(328,axiom,
! [V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__remdups__leq_0) ).
thf(329,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(330,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ V_xs @ T_a )
= ( c_List_Orotate @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__conv__mod_0) ).
thf(331,axiom,
! [V_n: $i,V_m: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Otake @ V_m @ V_xs @ T_a ) @ T_a )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__take_0) ).
thf(332,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__dropWhile__le_0) ).
thf(333,axiom,
! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a )
= V_xs )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_i @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__beyond_0) ).
thf(334,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__drop_0) ).
thf(335,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Odrop @ V_n @ 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__drop__subset_0) ).
thf(336,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(337,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(338,axiom,
! [V_P: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__filter__le_0) ).
thf(339,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Otake @ V_n @ V_xs @ T_a )
= V_xs )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__all_0) ).
thf(340,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(341,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Otake @ V_n @ 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__take__subset_0) ).
thf(342,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(343,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(344,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(345,axiom,
! [V_x: $i,V_ys: $i,T_a: $i] :
~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ V_x @ V_ys @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_a ) ) @ tc_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_impossible__Cons_0) ).
thf(346,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(347,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(348,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(349,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(350,axiom,
! [V_n: $i,T_a: $i,V_xs: $i] :
( ( c_List_Orotate @ V_n @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Orotate @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ tc_nat ) @ V_xs @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__rev_0) ).
thf(351,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(352,axiom,
! [V_n: $i,V_m: $i] :
( ( c_lessequals @ V_n @ V_m @ tc_nat )
| ( c_lessequals @ V_m @ V_n @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).
thf(353,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(354,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_x_H: $i,V_y_H: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_y @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_y_H @ V_x_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_1) ).
thf(355,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_x_H: $i,V_y_H: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_y @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) )
| ( c_lessequals @ V_y_H @ V_x_H @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_0) ).
thf(356,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit__asm_10) ).
thf(357,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(358,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(359,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(360,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(361,axiom,
! [V_f: $i,V_A: $i,T_a: $i,T_b: $i,V_B: $i] :
( ( c_Fun_Oinj__on @ V_f @ V_A @ T_a @ T_b )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ V_f @ V_B @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).
thf(362,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(363,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(364,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(365,axiom,
! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ tc_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__imp__le_0) ).
thf(366,axiom,
! [V_i: $i,V_k: $i,V_j: $i] :
( ( c_lessequals @ V_i @ V_k @ tc_nat )
| ~ ( c_lessequals @ V_j @ V_k @ tc_nat )
| ~ ( c_lessequals @ V_i @ V_j @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__trans_0) ).
thf(367,axiom,
! [V_n: $i] : ( c_lessequals @ V_n @ V_n @ tc_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__refl_0) ).
thf(368,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(369,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(370,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(371,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(372,axiom,
! [T_a: $i,V_b: $i,V_c: $i,V_b_H: $i,V_a: $i,V_a_H: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ V_b @ V_c @ T_a )
!= ( c_Divides_Odiv__class_Omod @ V_b_H @ V_c @ T_a ) )
| ( ( c_Divides_Odiv__class_Omod @ V_a @ V_c @ T_a )
!= ( c_Divides_Odiv__class_Omod @ V_a_H @ V_c @ T_a ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a_H @ V_b_H @ T_a ) @ V_c @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__cong_0) ).
thf(373,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(374,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(375,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(376,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(377,axiom,
! [V_m: $i,V_n: $i] :
( ( V_m = V_n )
| ~ ( c_lessequals @ V_n @ V_m @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__antisym_0) ).
thf(378,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(379,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(380,axiom,
! [V_m: $i,V_n: $i] :
( ( ( c_Divides_Odiv__class_Omod @ V_m @ V_n @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) @ V_n @ tc_nat ) )
| ~ ( c_lessequals @ V_n @ V_m @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__mod__geq_0) ).
thf(381,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(382,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(383,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(384,axiom,
! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Divides_Osemiring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ V_a @ V_b @ T_a ) @ V_b @ T_a )
= ( c_Divides_Odiv__class_Omod @ V_a @ V_b @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mod__trivial_0) ).
thf(385,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(386,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(387,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Otl @ V_xs @ T_a ) @ T_a )
= ( c_List_Otl @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__tl_0) ).
thf(388,axiom,
! [V_f: $i,V_A: $i,T_a: $i,T_b: $i,V_a: $i] :
( ( c_Fun_Oinj__on @ V_f @ V_A @ T_a @ T_b )
| ~ ( c_Fun_Oinj__on @ V_f @ ( c_Set_Oinsert @ V_a @ V_A @ T_a ) @ T_a @ T_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).
thf(389,axiom,
! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ V_a @ V_c @ T_a ) @ V_b @ T_a ) @ V_c @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__left__eq_0) ).
thf(390,axiom,
! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ ( c_Divides_Odiv__class_Omod @ V_b @ V_c @ T_a ) @ T_a ) @ V_c @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__right__eq_0) ).
thf(391,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(392,axiom,
! [V_l: $i,V_n: $i,V_m: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_l @ V_n @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_l @ V_m @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__le__mono2_0) ).
thf(393,axiom,
! [V_m: $i,V_l: $i,V_n: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_l @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_l @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__le__mono_0) ).
thf(394,axiom,
! [V_m: $i,V_k: $i,V_n: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__diff__iff_1) ).
thf(395,axiom,
! [V_m: $i,V_n: $i,V_k: $i] :
( ( c_lessequals @ V_m @ V_n @ tc_nat )
| ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__diff__iff_0) ).
thf(396,axiom,
! [T_a: $i,V_xa: $i,V_y: $i,V_x: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_xa @ V_y @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a ) )
| ( V_xa = V_y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_1) ).
thf(397,axiom,
! [T_a: $i,V_x: $i,V_x_H: $i,V_y_H: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) )
| ( V_x_H = V_y_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_0) ).
thf(398,axiom,
! [V_m: $i,V_k: $i,V_n: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat )
| ( V_m = V_n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__diff__iff_0) ).
thf(399,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a )
= ( c_List_Obutlast @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__butlast_0) ).
thf(400,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Otl @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Odrop @ V_n @ ( c_List_Otl @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl__drop_0) ).
thf(401,axiom,
! [V_m: $i,V_n: $i] : ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) @ V_m @ tc_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__le__self_0) ).
thf(402,axiom,
! [V_m: $i,V_k: $i,V_n: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__diff__eq_0) ).
thf(403,axiom,
! [V_i: $i,V_j: $i,V_k: $i] :
( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ V_i @ V_j @ tc_nat ) @ V_k @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ V_i @ V_k @ tc_nat ) @ V_j @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__commute_0) ).
thf(404,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(405,axiom,
! [V_m: $i,V_n: $i] : ( c_lessequals @ ( c_Divides_Odiv__class_Omod @ V_m @ V_n @ tc_nat ) @ V_m @ tc_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__less__eq__dividend_0) ).
thf(406,axiom,
! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ V_a @ V_c @ T_a ) @ ( c_Divides_Odiv__class_Omod @ V_b @ V_c @ T_a ) @ T_a ) @ V_c @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__eq_0) ).
thf(407,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Odrop @ V_n @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__drop_0) ).
thf(408,axiom,
! [V_n: $i,V_i: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ V_n @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_i @ tc_nat ) @ tc_nat )
= V_i )
| ~ ( c_lessequals @ V_i @ V_n @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__diff__cancel_0) ).
thf(409,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_10) ).
thf(410,axiom,
! [V_f2: $i,V_xb: $i,V_g2: $i,T_a: $i,V_xa: $i,V_x: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) ) )
| ( ( c_Message_Oagent_Oagent__case @ V_xa @ V_f2 @ V_x @ V_xb @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_xa @ V_g2 @ V_x @ V_xb @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Ocase__cong_7) ).
thf(411,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(412,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(413,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(414,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(415,axiom,
! [V_evs: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ V_evs @ ( 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 @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__Says__rev_0) ).
thf(416,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit__asm_4) ).
thf(417,axiom,
! [V_xa: $i,V_f2: $i,V_g2: $i,T_a: $i,V_f1: $i,V_x: $i,V_g1: $i] :
( ( V_xa
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_xa = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_x @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_x @ V_xa @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Ocase__cong_1) ).
thf(418,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_4) ).
thf(419,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_7) ).
thf(420,axiom,
! [V_x: $i,V_f2: $i,V_f3: $i,V_xa: $i,T_a: $i,V_g2: $i,V_g3: $i] :
( ( ( c_Message_Oagent_Oagent__case @ V_x @ V_f2 @ V_f3 @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_x @ V_g2 @ V_g3 @ V_xa @ T_a ) )
| ( V_xa = c_Message_Oagent_OSpy )
| ( V_xa
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Ocase__cong_4) ).
thf(421,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit__asm_7) ).
thf(422,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(423,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit__asm_5) ).
thf(424,axiom,
! [V_f2: $i,V_x: $i,V_g2: $i,T_a: $i,V_f1: $i,V_f3: $i,V_g1: $i,V_g3: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_x @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_x @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_x = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ T_a ) )
| ( V_x = c_Message_Oagent_OSpy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Ocase__cong_2) ).
thf(425,axiom,
! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osplit_5) ).
thf(426,axiom,
! [V_n: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__append_0) ).
thf(427,axiom,
! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a ) @ V_xs_092_060_094isub_0622 @ T_a )
= V_ys_092_060_094isub_0622 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_3) ).
thf(428,axiom,
! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( V_xs_092_060_094isub_0622
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_1) ).
thf(429,axiom,
! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( V_xs_092_060_094isub_0621
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_0) ).
thf(430,axiom,
! [V_n: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Otake @ V_n @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_ys @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__append_0) ).
thf(431,axiom,
! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a )
= V_ys_092_060_094isub_0621 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_2) ).
thf(432,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Odrop @ V_n @ V_xs @ T_a )
= ( c_List_Olist_ONil @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__all_0) ).
thf(433,axiom,
! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Odrop @ V_n @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__eq__Nil_0) ).
thf(434,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(435,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(436,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(437,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(438,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(439,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(440,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(441,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(442,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(443,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(444,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[443]) ).
thf(445,negated_conjecture,
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
!= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(446,plain,
$false = $false,
inference(unfold_def,[status(thm)],[444]) ).
thf(447,plain,
( ( ! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_X ) @ V_Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(448,plain,
( ( ! [T_a: $i,V_x: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_x ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(449,plain,
( ( class_HOL_Oord @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(450,plain,
( ( class_Orderings_Oorder @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(451,plain,
( ( class_Orderings_Opreorder @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(452,plain,
( ( class_HOL_Oord @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(453,plain,
( ( class_Orderings_Oorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(454,plain,
( ( class_Orderings_Olinorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(455,plain,
( ( class_Orderings_Opreorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(456,plain,
( ( class_Divides_Osemiring__div @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(457,plain,
( ( class_OrderedGroup_Ocomm__monoid__add @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(458,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)],[12]) ).
thf(459,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)],[13]) ).
thf(460,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)],[14]) ).
thf(461,plain,
( ( ! [T_a: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_ONil @ T_a ) )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(462,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(463,plain,
( ( ! [V_xs: $i,T_a: $i] :
( V_xs
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(464,plain,
( ( ! [T_a: $i,V_ys: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) )
= V_ys ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(465,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) )
= V_xs ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(466,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) )
| ( V_xs = V_ys ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(467,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(468,plain,
( ( ! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(469,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)],[23]) ).
thf(470,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(471,plain,
( ( ! [T_a: $i,V_x: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(472,plain,
( ( ! [V_x: $i,T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
!= ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) )
| ( V_xs
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(473,plain,
( ( ! [T_a: $i,V_xs: $i,V_x: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( 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)],[27]) ).
thf(474,plain,
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(475,plain,
( ( ! [V_evs: $i,V_A: $i,V_X: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ V_evs @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(476,plain,
( ( ! [V_P: $i,V_xs: $i,T_b: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(477,plain,
( ( ! [V_P: $i,T_a: $i,V_xs: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(478,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(479,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(480,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(481,plain,
( ( ! [T_a: $i,V_A: $i] : ( c_Fun_Oinj__on @ ( c_List_Orev @ T_a ) @ V_A @ ( tc_List_Olist @ T_a ) @ ( tc_List_Olist @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(482,plain,
( ( ! [T_a: $i,V_f: $i,V_xs: $i,T_b: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) )
= ( c_List_Omap @ V_f @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_xs ) @ T_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(483,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(484,plain,
( ( ! [V_P: $i,T_a: $i,V_xs: $i,T_b: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(485,plain,
( ( ! [T_a: $i,V_n: $i,V_x: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) )
= ( c_List_Oreplicate @ V_n @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(486,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( c_List_Oset @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(487,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ T_a )
| ( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Olistsum @ V_xs @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(488,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(489,plain,
( ( ! [V_P: $i,T_a: $i,V_xs: $i] :
( ( c_List_Olist__all @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(490,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( c_Nat_Osize__class_Osize @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(491,plain,
( ( ! [T_a: $i,V_P: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) )
= ( c_List_Ofilter @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(492,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)],[46]) ).
thf(493,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(494,plain,
( ( ! [V_nat: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ V_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(495,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ V_f3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(496,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(497,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__rec @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OSpy @ T_a )
= V_f3 ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(498,plain,
( ( ! [V_nat: $i] :
( ( c_Message_Oagent_OFriend @ V_nat )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(499,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OSpy @ T_a )
= V_f3 ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(500,plain,
( ( ! [T_a: $i,V_ys: $i,V_y: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(501,plain,
( ( ! [T_a: $i,V_xs: $i,V_y: $i,V_ys: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(502,plain,
( ( ! [T_a: $i,V_x: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(503,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( c_List_Olast @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Ohd @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(504,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( c_List_Ohd @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(505,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)],[59]) ).
thf(506,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xmap__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(507,plain,
( ( ! [V_r: $i,T_a: $i] : ( c_List_Olistrelp @ V_r @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(508,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)],[62]) ).
thf(509,plain,
( ( ! [T_a: $i,V_f: $i,T_b: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Olist_ONil @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(510,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlist__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(511,plain,
( ( ! [V_n: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(512,plain,
( ( ! [V_f1: $i,V_f2: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_f1 ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(513,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xremove1__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(514,plain,
( ( ! [V_m: $i,T_a: $i,V_bs: $i,T_b: $i] :
( ( c_Map_Omap__upds @ V_m @ ( c_List_Olist_ONil @ T_a ) @ V_bs @ T_a @ T_b )
= V_m ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(515,plain,
( ( ! [V_m: $i,V_as: $i,T_b: $i,T_a: $i] :
( ( c_Map_Omap__upds @ V_m @ V_as @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_m ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(516,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xdistinct__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(517,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)],[71]) ).
thf(518,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)],[72]) ).
thf(519,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)],[73]) ).
thf(520,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xconcat__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(521,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)],[75]) ).
thf(522,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)],[76]) ).
thf(523,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)],[77]) ).
thf(524,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)],[78]) ).
thf(525,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)],[79]) ).
thf(526,plain,
( ( ! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofiltermap @ V_f @ ( c_List_Olist_ONil @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(527,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)],[81]) ).
thf(528,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xtake__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(529,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__XdropWhile__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(530,plain,
( ( ! [V_f1: $i,V_f2: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__rec @ V_f1 @ V_f2 @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_f1 ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(531,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlistset__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(532,plain,
( ( ! [T_a: $i,V_A: $i] :
( ( c_List_Osublist @ ( c_List_Olist_ONil @ T_a ) @ V_A @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(533,plain,
( ( ! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist_ONil @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(534,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xzip__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(535,plain,
( ( ! [V_f: $i,T_b: $i,V_a: $i,T_a: $i] :
( ( c_List_Ofoldr @ V_f @ ( c_List_Olist_ONil @ T_b ) @ V_a @ T_b @ T_a )
= V_a ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(536,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(537,plain,
( ( ! [T_a: $i] : ( c_List_Onull @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(538,plain,
( ( ! [V_P: $i,T_a: $i] :
~ ( c_List_Olist__ex @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(539,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)],[93]) ).
thf(540,plain,
( ( ! [V_P: $i,T_a: $i] : ( c_List_Olist__all @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(541,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xfoldl__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(542,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlist__update__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(543,plain,
( ( ! [V_A: $i,T_a: $i] : ( c_List_Olistsp @ V_A @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(544,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__XtakeWhile__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(545,plain,
( ( ! [V_n: $i,T_a: $i] :
( ( c_List_Otake @ V_n @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(546,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlast__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(547,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)],[101]) ).
thf(548,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)],[102]) ).
thf(549,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)],[103]) ).
thf(550,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)],[104]) ).
thf(551,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)],[105]) ).
thf(552,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)],[106]) ).
thf(553,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)],[107]) ).
thf(554,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)],[108]) ).
thf(555,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__XremoveAll__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(556,plain,
( ( ! [T_a: $i,V_f: $i,V_xs: $i,T_b: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(557,plain,
( ( ! [V_n: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(558,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)],[112]) ).
thf(559,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlistsum__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(560,plain,
( ( ! [V_f: $i,V_a: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofoldl @ V_f @ V_a @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_a ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(561,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)],[115]) ).
thf(562,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)],[116]) ).
thf(563,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)],[117]) ).
thf(564,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)],[118]) ).
thf(565,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)],[119]) ).
thf(566,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)],[120]) ).
thf(567,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)],[121]) ).
thf(568,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)],[122]) ).
thf(569,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_xa: $i,V_xb: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_xa @ V_xb @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ ( hAPP @ V_f2 @ V_xa ) @ V_xb ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(570,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_a: $i,V_list: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_a @ V_list @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ ( hAPP @ V_f2 @ V_a ) @ V_list ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(571,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orotate1 @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Orotate @ V_n @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(572,plain,
( ( ! [V_P: $i,V_ys: $i,T_a: $i,V_xs: $i] :
( ( c_List_Olist__all @ V_P @ V_ys @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(573,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(574,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)],[128]) ).
thf(575,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)],[129]) ).
thf(576,plain,
( ( ! [T_a: $i,V_x: $i] : ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_x @ V_x @ T_a @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(577,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)],[131]) ).
thf(578,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)],[132]) ).
thf(579,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__rec @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OServer @ T_a )
= V_f1 ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(580,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)],[134]) ).
thf(581,plain,
( ( ! [V_n: $i,V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Odrop @ V_n @ V_xs @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(582,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)],[136]) ).
thf(583,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)],[137]) ).
thf(584,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)],[138]) ).
thf(585,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(586,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)],[140]) ).
thf(587,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)],[141]) ).
thf(588,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)],[142]) ).
thf(589,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)],[143]) ).
thf(590,plain,
( ( ! [V_ys_092_060_094isub_0621: $i,T_a: $i,V_xs_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) @ T_a )
!= V_ys_092_060_094isub_0622 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a )
!= V_ys_092_060_094isub_0621 )
| ( V_xs_092_060_094isub_0621
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) )
| ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) @ T_a )
= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(591,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)],[145]) ).
thf(592,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)],[146]) ).
thf(593,plain,
( ( ! [V_xs: $i,V_x: $i,V_ys: $i,T_a: $i,V_y: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ V_ys @ T_a ) @ T_a ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_y @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(594,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_nat: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__rec @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_nat ) @ T_a )
= ( hAPP @ V_f2 @ V_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(595,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)],[149]) ).
thf(596,plain,
( ( ! [V_f: $i,V_x: $i,V_xs: $i,T_b: $i,V_a: $i,T_a: $i] :
( ( c_List_Ofoldr @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ V_a @ T_b @ T_a )
= ( hAPP @ ( hAPP @ V_f @ V_x ) @ ( c_List_Ofoldr @ V_f @ V_xs @ V_a @ T_b @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(597,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
~ ( c_List_Onull @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(598,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_xa: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_xa ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ V_xa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(599,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_nat: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_nat ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ V_nat ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(600,plain,
( ( ! [V_n: $i,V_x: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ ( tc_List_Olist @ T_a ) )
= V_n ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(601,plain,
( ( ! [V_A: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olistsp @ V_A @ V_ys @ T_a )
| ~ ( c_List_Olistsp @ V_A @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(602,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(603,plain,
( ( ! [V_xs: $i,T_a: $i,V_n: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(604,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)],[158]) ).
thf(605,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)],[159]) ).
thf(606,plain,
( ( ! [V_xs: $i,T_b: $i,V_f: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_b )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(607,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(608,plain,
( ( ! [V_f1: $i,V_f2: $i,V_a: $i,V_list: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__rec @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_a @ V_list @ T_b ) @ T_a @ T_b )
= ( hAPP @ ( hAPP @ ( hAPP @ V_f2 @ V_a ) @ V_list ) @ ( c_List_Olist_Olist__rec @ V_f1 @ V_f2 @ V_list @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(609,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)],[163]) ).
thf(610,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)],[164]) ).
thf(611,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)],[165]) ).
thf(612,plain,
( ( ! [V_P: $i,V_n: $i,V_as: $i,T_a: $i,V_bs: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Odrop @ V_n @ V_as @ T_a ) @ ( c_List_Odrop @ V_n @ V_bs @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_as @ V_bs @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(613,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)],[167]) ).
thf(614,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OServer @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(615,plain,
( ( ! [V_f: $i,V_xs: $i,V_ys: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Oappend @ V_xs @ V_ys @ T_b ) @ T_b @ T_a )
= ( c_List_Oappend @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ ( c_List_Omap @ V_f @ V_ys @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(616,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)],[170]) ).
thf(617,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)],[171]) ).
thf(618,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate1 @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(619,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(620,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)],[174]) ).
thf(621,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i,V_us: $i,V_vs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ V_us @ V_vs @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_us @ T_a ) @ ( c_List_Oappend @ V_ys @ V_vs @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(622,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i,V_us: $i,V_vs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_us @ T_a ) @ ( c_List_Oappend @ V_ys @ V_vs @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(623,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)],[177]) ).
thf(624,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)],[178]) ).
thf(625,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)],[179]) ).
thf(626,plain,
( ( ! [V_xs: $i,T_a: $i,V_zs: $i] :
( ( V_xs
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_zs @ T_a ) )
| ( ( c_List_Oappend @ V_xs @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_zs @ T_a ) @ T_a )
= V_zs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(627,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_m: $i,V_zs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( ( c_Map_Omap__upds @ V_m @ V_xs @ ( c_List_Oappend @ V_ys @ V_zs @ T_b ) @ T_a @ T_b )
= ( c_Map_Omap__upds @ V_m @ V_xs @ V_ys @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(628,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_m: $i,V_zs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( ( c_Map_Omap__upds @ V_m @ ( c_List_Oappend @ V_xs @ V_zs @ T_a ) @ V_ys @ T_a @ T_b )
= ( c_Map_Omap__upds @ V_m @ V_xs @ V_ys @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(629,plain,
( ( ! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i,V_ys: $i] :
( ( ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a )
!= ( c_List_Omap @ V_f @ V_ys @ T_b @ T_a ) )
| ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_b ) )
= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(630,plain,
( ( ! [V_xs: $i,V_I: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Osublist @ V_xs @ V_I @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(631,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)],[185]) ).
thf(632,plain,
( ( ! [V_r: $i,V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( c_List_Olistrelp @ V_r @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olistrelp @ V_r @ V_xs @ V_ys @ T_a )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_r @ V_x ) @ V_y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(633,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)],[187]) ).
thf(634,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(635,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( c_List_Olist__ex @ V_P @ V_xs @ T_a )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_List_Olist__ex @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(636,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__ex @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olist__ex @ V_P @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(637,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xa @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(638,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_xa: $i,V_xb: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_xb @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_xa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(639,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(640,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)],[194]) ).
thf(641,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__ex @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(642,plain,
( ( ! [V_f: $i,V_xs: $i,V_ys: $i,T_b: $i,V_a: $i,T_a: $i] :
( ( c_List_Ofoldr @ V_f @ ( c_List_Oappend @ V_xs @ V_ys @ T_b ) @ V_a @ T_b @ T_a )
= ( c_List_Ofoldr @ V_f @ V_xs @ ( c_List_Ofoldr @ V_f @ V_ys @ V_a @ T_b @ T_a ) @ T_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(643,plain,
( ( ! [V_f: $i,V_n: $i,V_x: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Oreplicate @ V_n @ V_x @ T_b ) @ T_b @ T_a )
= ( c_List_Oreplicate @ V_n @ ( hAPP @ V_f @ V_x ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(644,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)],[198]) ).
thf(645,plain,
( ( ! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(646,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i] :
( V_xs
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(647,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_xs @ T_a )
!= V_xs )
| ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(648,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) )
| ( ( c_List_Oremdups @ V_xs @ T_a )
= V_xs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(649,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)],[203]) ).
thf(650,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)],[204]) ).
thf(651,plain,
( ( ! [V_n: $i,V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Orotate @ V_n @ V_xs @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(652,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i,V_x: $i,V_y: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(653,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)],[207]) ).
thf(654,plain,
( ( ! [T_a: $i,V_n: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(655,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)],[209]) ).
thf(656,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)],[210]) ).
thf(657,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)],[211]) ).
thf(658,plain,
( ( ! [V_A: $i,V_ys: $i,T_a: $i,V_xs: $i] :
( ( c_List_Olistsp @ V_A @ V_ys @ T_a )
| ~ ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(659,plain,
( ( ! [V_A: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Olistsp @ V_A @ V_xs @ T_a )
| ~ ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(660,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)],[214]) ).
thf(661,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)],[215]) ).
thf(662,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)],[216]) ).
thf(663,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)],[217]) ).
thf(664,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)],[218]) ).
thf(665,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)],[219]) ).
thf(666,plain,
( ( ! [T_a: $i] : ( c_List_Odistinct @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(667,plain,
( ( ! [V_ys: $i,T_b: $i,V_P: $i,T_a: $i] :
( ( V_ys
= ( c_List_Olist_ONil @ T_b ) )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(668,plain,
( ( ! [V_xs: $i,T_a: $i,V_P: $i,T_b: $i] :
( ( V_xs
= ( c_List_Olist_ONil @ T_a ) )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[222]) ).
thf(669,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Orotate @ V_n @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(670,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)],[224]) ).
thf(671,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)],[225]) ).
thf(672,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)],[226]) ).
thf(673,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)],[227]) ).
thf(674,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)],[228]) ).
thf(675,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)],[229]) ).
thf(676,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( V_xs
= ( c_List_Olist_ONil @ T_a ) )
| ~ ( c_List_Onull @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(677,plain,
( ( ! [V_P: $i,T_a: $i,T_b: $i] : ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(678,plain,
( ( ! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(679,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)],[233]) ).
thf(680,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Message_Oagent_OFriend @ V_nat )
!= ( c_Message_Oagent_OFriend @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(681,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)],[235]) ).
thf(682,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)],[236]) ).
thf(683,plain,
( ( ! [V_f: $i,V_a: $i,V_xs: $i,V_ys: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofoldl @ V_f @ V_a @ ( c_List_Oappend @ V_xs @ V_ys @ T_b ) @ T_a @ T_b )
= ( c_List_Ofoldl @ V_f @ ( c_List_Ofoldl @ V_f @ V_a @ V_xs @ T_a @ T_b ) @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(684,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)],[238]) ).
thf(685,plain,
( ( ! [V_i: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Otake @ V_i @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(686,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)],[240]) ).
thf(687,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_ys @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(688,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_nat: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_nat ) @ T_a )
= ( hAPP @ V_f2 @ V_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(689,plain,
( ( ! [V_f: $i,V_xs: $i,V_k: $i,V_y: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist__update @ V_xs @ V_k @ V_y @ T_b ) @ T_b @ T_a )
= ( c_List_Olist__update @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ V_k @ ( hAPP @ V_f @ V_y ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(690,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)],[244]) ).
thf(691,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(692,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)],[246]) ).
thf(693,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)],[247]) ).
thf(694,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)],[248]) ).
thf(695,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i,V_us: $i,V_vs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_us @ T_a ) @ ( c_List_Oappend @ V_ys @ V_vs @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_us @ V_vs @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(696,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)],[250]) ).
thf(697,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(698,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)],[252]) ).
thf(699,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)],[253]) ).
thf(700,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(701,plain,
( ( ! [V_i: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Odrop @ V_i @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(702,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)],[256]) ).
thf(703,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oappend @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(704,plain,
( ( ! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
| ~ ( c_Fun_Oinj__on @ V_f @ ( c_List_Oset @ V_xs @ T_b ) @ T_b @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(705,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OServer @ T_a )
= V_f1 ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(706,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)],[260]) ).
thf(707,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)],[261]) ).
thf(708,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)],[262]) ).
thf(709,plain,
( ( ! [V_P: $i,V_x: $i,V_y: $i,V_xs: $i,T_a: $i,V_ys: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(710,plain,
( ( ! [V_nat_H: $i] :
( ( c_Message_Oagent_OFriend @ V_nat_H )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(711,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)],[265]) ).
thf(712,plain,
( ( ! [V_f1: $i,V_f2: $i,V_a: $i,V_list: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_a @ V_list @ T_b ) @ T_a @ T_b )
= ( hAPP @ ( hAPP @ V_f2 @ V_a ) @ V_list ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(713,plain,
( ( ! [V_f: $i,V_x: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_OCons @ ( hAPP @ V_f @ V_x ) @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(714,plain,
( ( ! [V_f: $i,V_xa: $i,V_xb: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ V_f @ V_xa ) @ ( c_List_Omap @ V_f @ V_xb @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(715,plain,
( ( ! [V_f: $i,V_x: $i,V_xa: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_OCons @ ( hAPP @ V_f @ V_x ) @ ( c_List_Omap @ V_f @ V_xa @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(716,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)],[270]) ).
thf(717,plain,
( ( ! [V_ys: $i,V_xs: $i,T_a: $i] :
( V_ys
= ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(718,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)],[272]) ).
thf(719,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)],[273]) ).
thf(720,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)],[274]) ).
thf(721,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)],[275]) ).
thf(722,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)],[276]) ).
thf(723,plain,
( ( ! [V_xa: $i,T_b: $i,V_ys: $i,T_a: $i,V_x: $i,V_xs: $i,V_P: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xa @ ( tc_List_Olist @ T_b ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_a ) ) )
| ( ( c_Nat_Osize__class_Osize @ V_x @ ( tc_List_Olist @ T_b ) )
!= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) )
| ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ ( c_List_Oappend @ V_x @ V_xa @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_ys @ V_xa @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_x @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(724,plain,
( ( ! [V_xa: $i,T_a: $i,V_zs: $i,T_b: $i,V_x: $i,V_ys: $i,V_P: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xa @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_zs @ ( tc_List_Olist @ T_b ) ) )
| ( ( c_Nat_Osize__class_Osize @ V_x @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_x @ V_xa @ T_a ) @ ( c_List_Oappend @ V_ys @ V_zs @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xa @ V_zs @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_x @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(725,plain,
( ( ! [V_P: $i,V_a: $i,V_c: $i,T_a: $i,V_b: $i,V_d: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_a @ V_c @ T_a ) @ ( c_List_Oappend @ V_b @ V_d @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_c @ V_d @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_a @ V_b @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(726,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)],[280]) ).
thf(727,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)],[281]) ).
thf(728,plain,
( ( ! [V_f: $i,V_a: $i,V_x: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofoldl @ V_f @ V_a @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_a @ T_b )
= ( c_List_Ofoldl @ V_f @ ( hAPP @ ( hAPP @ V_f @ V_a ) @ V_x ) @ V_xs @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(729,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( V_xs = V_ys )
| ~ ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_xs @ V_ys @ T_a @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(730,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)],[284]) ).
thf(731,plain,
( ( ! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_Fun_Oinj__on @ V_f @ ( c_List_Oset @ V_xs @ T_b ) @ T_b @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(732,plain,
( ( ! [V_P: $i,V_n: $i,V_xs: $i,T_a: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ ( c_List_Otake @ V_n @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(733,plain,
( ( ! [V_nat_H: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(734,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)],[288]) ).
thf(735,plain,
( ( ! [V_n: $i,V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Otake @ V_n @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Otake @ V_n @ V_xs @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(736,plain,
( ( ! [T_a: $i,V_n: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(737,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)],[291]) ).
thf(738,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ V_xs @ T_a )
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_xs @ T_a ) @ ( c_List_Otake @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(739,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(740,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g3: $i] :
( ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ T_a ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_x @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(741,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(742,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)],[296]) ).
thf(743,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)],[297]) ).
thf(744,plain,
( ( ! [T_a: $i,V_i: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Odrop @ V_i @ V_xs @ T_a ) )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_i @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(745,plain,
( ( ! [T_a: $i,V_i: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Otake @ V_i @ V_xs @ T_a ) )
= ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_i @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(746,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)],[300]) ).
thf(747,plain,
( ( ! [T_b: $i,V_f: $i,V_xs: $i,T_a: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ T_b )
| ( ( c_Finite__Set_Osetsum @ V_f @ ( c_List_Oset @ V_xs @ T_a ) @ T_a @ T_b )
= ( c_List_Olistsum @ ( c_List_Omap @ V_f @ V_xs @ T_a @ T_b ) @ T_b ) )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(748,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( V_xs_092_060_094isub_0621
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) )
| ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) @ T_a )
= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(749,plain,
( ( ! [V_ys_092_060_094isub_0621: $i,T_a: $i,V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i] :
( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a )
!= V_ys_092_060_094isub_0621 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat )
| ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a ) @ V_xs_092_060_094isub_0622 @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(750,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlast__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(751,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(752,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ V_P ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(753,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ V_P ) @ ( v_sko__List__Xremove1__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(754,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlistset__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(755,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ V_P ) @ ( v_sko__List__Xzip__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(756,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ V_P ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(757,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ V_P ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(758,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ V_P ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(759,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(760,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlist__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(761,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)],[315]) ).
thf(762,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(763,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(764,plain,
( ( ! [V_xb: $i,V_f2: $i,V_g2: $i,T_a: $i,V_xa: $i,V_x: $i] :
( ( V_xb
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) ) )
| ( ( c_Message_Oagent_Oagent__case @ V_xa @ V_f2 @ V_x @ V_xb @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_xa @ V_g2 @ V_x @ V_xb @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(765,plain,
( ( ! [V_f2: $i,V_xa: $i,V_g2: $i,T_a: $i,V_f1: $i,V_x: $i,V_g1: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_xa = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_x @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_x @ V_xa @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(766,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(767,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(768,plain,
( ( ! [V_xs: $i,V_I: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Osublist @ V_xs @ V_I @ T_a ) @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(769,plain,
( ( ! [V_i: $i,V_k: $i,V_x: $i,T_a: $i] :
( ( c_List_Odrop @ V_i @ ( c_List_Oreplicate @ V_k @ V_x @ T_a ) @ T_a )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ V_k @ V_i @ tc_nat ) @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(770,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)],[324]) ).
thf(771,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(772,plain,
( ( ! [V_f2: $i,V_xa: $i,V_g2: $i,T_a: $i,V_x: $i,V_f3: $i,V_g3: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) )
| ( ( c_Message_Oagent_Oagent__case @ V_x @ V_f2 @ V_f3 @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_x @ V_g2 @ V_g3 @ V_xa @ T_a ) )
| ( V_xa = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(773,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(774,plain,
( ( ! [V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(775,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)],[329]) ).
thf(776,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ V_xs @ T_a )
= ( c_List_Orotate @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(777,plain,
( ( ! [V_n: $i,V_m: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Otake @ V_m @ V_xs @ T_a ) @ T_a )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(778,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(779,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a )
= V_xs )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_i @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(780,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(781,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Odrop @ V_n @ 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)],[335]) ).
thf(782,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)],[336]) ).
thf(783,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)],[337]) ).
thf(784,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(785,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Otake @ V_n @ V_xs @ T_a )
= V_xs )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(786,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)],[340]) ).
thf(787,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Otake @ V_n @ 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)],[341]) ).
thf(788,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)],[342]) ).
thf(789,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)],[343]) ).
thf(790,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)],[344]) ).
thf(791,plain,
( ( ! [V_x: $i,V_ys: $i,T_a: $i] :
~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ V_x @ V_ys @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(792,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)],[346]) ).
thf(793,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)],[347]) ).
thf(794,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)],[348]) ).
thf(795,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)],[349]) ).
thf(796,plain,
( ( ! [V_n: $i,T_a: $i,V_xs: $i] :
( ( c_List_Orotate @ V_n @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Orotate @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ tc_nat ) @ V_xs @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(797,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)],[351]) ).
thf(798,plain,
( ( ! [V_n: $i,V_m: $i] :
( ( c_lessequals @ V_n @ V_m @ tc_nat )
| ( c_lessequals @ V_m @ V_n @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(799,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)],[353]) ).
thf(800,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_x_H: $i,V_y_H: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_y @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_y_H @ V_x_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(801,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_x_H: $i,V_y_H: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_y @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) )
| ( c_lessequals @ V_y_H @ V_x_H @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(802,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(803,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)],[357]) ).
thf(804,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)],[358]) ).
thf(805,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)],[359]) ).
thf(806,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)],[360]) ).
thf(807,plain,
( ( ! [V_f: $i,V_A: $i,T_a: $i,T_b: $i,V_B: $i] :
( ( c_Fun_Oinj__on @ V_f @ V_A @ T_a @ T_b )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ V_f @ V_B @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(808,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)],[362]) ).
thf(809,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)],[363]) ).
thf(810,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)],[364]) ).
thf(811,plain,
( ( ! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ tc_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(812,plain,
( ( ! [V_i: $i,V_k: $i,V_j: $i] :
( ( c_lessequals @ V_i @ V_k @ tc_nat )
| ~ ( c_lessequals @ V_j @ V_k @ tc_nat )
| ~ ( c_lessequals @ V_i @ V_j @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(813,plain,
( ( ! [V_n: $i] : ( c_lessequals @ V_n @ V_n @ tc_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[367]) ).
thf(814,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)],[368]) ).
thf(815,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)],[369]) ).
thf(816,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)],[370]) ).
thf(817,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)],[371]) ).
thf(818,plain,
( ( ! [T_a: $i,V_b: $i,V_c: $i,V_b_H: $i,V_a: $i,V_a_H: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ V_b @ V_c @ T_a )
!= ( c_Divides_Odiv__class_Omod @ V_b_H @ V_c @ T_a ) )
| ( ( c_Divides_Odiv__class_Omod @ V_a @ V_c @ T_a )
!= ( c_Divides_Odiv__class_Omod @ V_a_H @ V_c @ T_a ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a_H @ V_b_H @ T_a ) @ V_c @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[372]) ).
thf(819,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)],[373]) ).
thf(820,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)],[374]) ).
thf(821,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)],[375]) ).
thf(822,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)],[376]) ).
thf(823,plain,
( ( ! [V_m: $i,V_n: $i] :
( ( V_m = V_n )
| ~ ( c_lessequals @ V_n @ V_m @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(824,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)],[378]) ).
thf(825,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)],[379]) ).
thf(826,plain,
( ( ! [V_m: $i,V_n: $i] :
( ( ( c_Divides_Odiv__class_Omod @ V_m @ V_n @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) @ V_n @ tc_nat ) )
| ~ ( c_lessequals @ V_n @ V_m @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(827,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)],[381]) ).
thf(828,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)],[382]) ).
thf(829,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)],[383]) ).
thf(830,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Divides_Osemiring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ V_a @ V_b @ T_a ) @ V_b @ T_a )
= ( c_Divides_Odiv__class_Omod @ V_a @ V_b @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(831,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)],[385]) ).
thf(832,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)],[386]) ).
thf(833,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Otl @ V_xs @ T_a ) @ T_a )
= ( c_List_Otl @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(834,plain,
( ( ! [V_f: $i,V_A: $i,T_a: $i,T_b: $i,V_a: $i] :
( ( c_Fun_Oinj__on @ V_f @ V_A @ T_a @ T_b )
| ~ ( c_Fun_Oinj__on @ V_f @ ( c_Set_Oinsert @ V_a @ V_A @ T_a ) @ T_a @ T_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(835,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ V_a @ V_c @ T_a ) @ V_b @ T_a ) @ V_c @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(836,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ ( c_Divides_Odiv__class_Omod @ V_b @ V_c @ T_a ) @ T_a ) @ V_c @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(837,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)],[391]) ).
thf(838,plain,
( ( ! [V_l: $i,V_n: $i,V_m: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_l @ V_n @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_l @ V_m @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(839,plain,
( ( ! [V_m: $i,V_l: $i,V_n: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_l @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_l @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(840,plain,
( ( ! [V_m: $i,V_k: $i,V_n: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(841,plain,
( ( ! [V_m: $i,V_n: $i,V_k: $i] :
( ( c_lessequals @ V_m @ V_n @ tc_nat )
| ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(842,plain,
( ( ! [T_a: $i,V_xa: $i,V_y: $i,V_x: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_xa @ V_y @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a ) )
| ( V_xa = V_y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(843,plain,
( ( ! [T_a: $i,V_x: $i,V_x_H: $i,V_y_H: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) )
| ( V_x_H = V_y_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(844,plain,
( ( ! [V_m: $i,V_k: $i,V_n: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat )
| ( V_m = V_n ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(845,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a )
= ( c_List_Obutlast @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(846,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Otl @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Odrop @ V_n @ ( c_List_Otl @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(847,plain,
( ( ! [V_m: $i,V_n: $i] : ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) @ V_m @ tc_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(848,plain,
( ( ! [V_m: $i,V_k: $i,V_n: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[402]) ).
thf(849,plain,
( ( ! [V_i: $i,V_j: $i,V_k: $i] :
( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ V_i @ V_j @ tc_nat ) @ V_k @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ V_i @ V_k @ tc_nat ) @ V_j @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[403]) ).
thf(850,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)],[404]) ).
thf(851,plain,
( ( ! [V_m: $i,V_n: $i] : ( c_lessequals @ ( c_Divides_Odiv__class_Omod @ V_m @ V_n @ tc_nat ) @ V_m @ tc_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(852,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ V_a @ V_c @ T_a ) @ ( c_Divides_Odiv__class_Omod @ V_b @ V_c @ T_a ) @ T_a ) @ V_c @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(853,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Odrop @ V_n @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[407]) ).
thf(854,plain,
( ( ! [V_n: $i,V_i: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ V_n @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_i @ tc_nat ) @ tc_nat )
= V_i )
| ~ ( c_lessequals @ V_i @ V_n @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[408]) ).
thf(855,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[409]) ).
thf(856,plain,
( ( ! [V_f2: $i,V_xb: $i,V_g2: $i,T_a: $i,V_xa: $i,V_x: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) ) )
| ( ( c_Message_Oagent_Oagent__case @ V_xa @ V_f2 @ V_x @ V_xb @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_xa @ V_g2 @ V_x @ V_xb @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[410]) ).
thf(857,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)],[411]) ).
thf(858,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)],[412]) ).
thf(859,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)],[413]) ).
thf(860,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)],[414]) ).
thf(861,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ V_evs @ ( 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 @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(862,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(863,plain,
( ( ! [V_xa: $i,V_f2: $i,V_g2: $i,T_a: $i,V_f1: $i,V_x: $i,V_g1: $i] :
( ( V_xa
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_xa = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_x @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_x @ V_xa @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(864,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(865,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(866,plain,
( ( ! [V_x: $i,V_f2: $i,V_f3: $i,V_xa: $i,T_a: $i,V_g2: $i,V_g3: $i] :
( ( ( c_Message_Oagent_Oagent__case @ V_x @ V_f2 @ V_f3 @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_x @ V_g2 @ V_g3 @ V_xa @ T_a ) )
| ( V_xa = c_Message_Oagent_OSpy )
| ( V_xa
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(867,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(868,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)],[422]) ).
thf(869,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(870,plain,
( ( ! [V_f2: $i,V_x: $i,V_g2: $i,T_a: $i,V_f1: $i,V_f3: $i,V_g1: $i,V_g3: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_x @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_x @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_x = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ T_a ) )
| ( V_x = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(871,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(872,plain,
( ( ! [V_n: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(873,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a ) @ V_xs_092_060_094isub_0622 @ T_a )
= V_ys_092_060_094isub_0622 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(874,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( V_xs_092_060_094isub_0622
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(875,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( V_xs_092_060_094isub_0621
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(876,plain,
( ( ! [V_n: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Otake @ V_n @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430]) ).
thf(877,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a )
= V_ys_092_060_094isub_0621 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(878,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Odrop @ V_n @ V_xs @ T_a )
= ( c_List_Olist_ONil @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(879,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Odrop @ V_n @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(880,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)],[434]) ).
thf(881,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)],[435]) ).
thf(882,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)],[436]) ).
thf(883,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)],[437]) ).
thf(884,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)],[438]) ).
thf(885,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)],[439]) ).
thf(886,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)],[440]) ).
thf(887,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)],[441]) ).
thf(888,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)],[442]) ).
thf(889,plain,
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
!= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(890,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[446]) ).
thf(891,plain,
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
!= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[889]) ).
thf(892,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)],[888]) ).
thf(893,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)],[887]) ).
thf(894,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)],[886]) ).
thf(895,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)],[885]) ).
thf(896,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)],[884]) ).
thf(897,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)],[883]) ).
thf(898,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)],[882]) ).
thf(899,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)],[881]) ).
thf(900,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)],[880]) ).
thf(901,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Odrop @ V_n @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[879]) ).
thf(902,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Odrop @ V_n @ V_xs @ T_a )
= ( c_List_Olist_ONil @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[878]) ).
thf(903,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a )
= V_ys_092_060_094isub_0621 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[877]) ).
thf(904,plain,
( ( ! [V_n: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Otake @ V_n @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[876]) ).
thf(905,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( V_xs_092_060_094isub_0621
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[875]) ).
thf(906,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( V_xs_092_060_094isub_0622
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[874]) ).
thf(907,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
!= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a ) @ V_xs_092_060_094isub_0622 @ T_a )
= V_ys_092_060_094isub_0622 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[873]) ).
thf(908,plain,
( ( ! [V_n: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
= ( c_List_Oappend @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[872]) ).
thf(909,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(copy,[status(thm)],[871]) ).
thf(910,plain,
( ( ! [V_f2: $i,V_x: $i,V_g2: $i,T_a: $i,V_f1: $i,V_f3: $i,V_g1: $i,V_g3: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_x @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_x @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_x = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ T_a ) )
| ( V_x = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(copy,[status(thm)],[870]) ).
thf(911,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(copy,[status(thm)],[869]) ).
thf(912,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)],[868]) ).
thf(913,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[867]) ).
thf(914,plain,
( ( ! [V_x: $i,V_f2: $i,V_f3: $i,V_xa: $i,T_a: $i,V_g2: $i,V_g3: $i] :
( ( ( c_Message_Oagent_Oagent__case @ V_x @ V_f2 @ V_f3 @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_x @ V_g2 @ V_g3 @ V_xa @ T_a ) )
| ( V_xa = c_Message_Oagent_OSpy )
| ( V_xa
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[866]) ).
thf(915,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[865]) ).
thf(916,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(copy,[status(thm)],[864]) ).
thf(917,plain,
( ( ! [V_xa: $i,V_f2: $i,V_g2: $i,T_a: $i,V_f1: $i,V_x: $i,V_g1: $i] :
( ( V_xa
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_xa = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_x @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_x @ V_xa @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[863]) ).
thf(918,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(copy,[status(thm)],[862]) ).
thf(919,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ V_evs @ ( 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 @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[861]) ).
thf(920,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)],[860]) ).
thf(921,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)],[859]) ).
thf(922,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)],[858]) ).
thf(923,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)],[857]) ).
thf(924,plain,
( ( ! [V_f2: $i,V_xb: $i,V_g2: $i,T_a: $i,V_xa: $i,V_x: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) ) )
| ( ( c_Message_Oagent_Oagent__case @ V_xa @ V_f2 @ V_x @ V_xb @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_xa @ V_g2 @ V_x @ V_xb @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[856]) ).
thf(925,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[855]) ).
thf(926,plain,
( ( ! [V_n: $i,V_i: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ V_n @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_i @ tc_nat ) @ tc_nat )
= V_i )
| ~ ( c_lessequals @ V_i @ V_n @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[854]) ).
thf(927,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Obutlast @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Odrop @ V_n @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[853]) ).
thf(928,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ V_a @ V_c @ T_a ) @ ( c_Divides_Odiv__class_Omod @ V_b @ V_c @ T_a ) @ T_a ) @ V_c @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[852]) ).
thf(929,plain,
( ( ! [V_m: $i,V_n: $i] : ( c_lessequals @ ( c_Divides_Odiv__class_Omod @ V_m @ V_n @ tc_nat ) @ V_m @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[851]) ).
thf(930,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)],[850]) ).
thf(931,plain,
( ( ! [V_i: $i,V_j: $i,V_k: $i] :
( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ V_i @ V_j @ tc_nat ) @ V_k @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ V_i @ V_k @ tc_nat ) @ V_j @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[849]) ).
thf(932,plain,
( ( ! [V_m: $i,V_k: $i,V_n: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[848]) ).
thf(933,plain,
( ( ! [V_m: $i,V_n: $i] : ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) @ V_m @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[847]) ).
thf(934,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Otl @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Odrop @ V_n @ ( c_List_Otl @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[846]) ).
thf(935,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Obutlast @ V_xs @ T_a ) @ T_a )
= ( c_List_Obutlast @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[845]) ).
thf(936,plain,
( ( ! [V_m: $i,V_k: $i,V_n: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat )
| ( V_m = V_n ) ) )
= $true ),
inference(copy,[status(thm)],[844]) ).
thf(937,plain,
( ( ! [T_a: $i,V_x: $i,V_x_H: $i,V_y_H: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) )
| ( V_x_H = V_y_H ) ) )
= $true ),
inference(copy,[status(thm)],[843]) ).
thf(938,plain,
( ( ! [T_a: $i,V_xa: $i,V_y: $i,V_x: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_xa @ V_y @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x @ V_x @ T_a ) )
| ( V_xa = V_y ) ) )
= $true ),
inference(copy,[status(thm)],[842]) ).
thf(939,plain,
( ( ! [V_m: $i,V_n: $i,V_k: $i] :
( ( c_lessequals @ V_m @ V_n @ tc_nat )
| ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[841]) ).
thf(940,plain,
( ( ! [V_m: $i,V_k: $i,V_n: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_k @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_k @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[840]) ).
thf(941,plain,
( ( ! [V_m: $i,V_l: $i,V_n: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_l @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_n @ V_l @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[839]) ).
thf(942,plain,
( ( ! [V_l: $i,V_n: $i,V_m: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ V_l @ V_n @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ V_l @ V_m @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[838]) ).
thf(943,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)],[837]) ).
thf(944,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ ( c_Divides_Odiv__class_Omod @ V_b @ V_c @ T_a ) @ T_a ) @ V_c @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[836]) ).
thf(945,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ V_a @ V_c @ T_a ) @ V_b @ T_a ) @ V_c @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[835]) ).
thf(946,plain,
( ( ! [V_f: $i,V_A: $i,T_a: $i,T_b: $i,V_a: $i] :
( ( c_Fun_Oinj__on @ V_f @ V_A @ T_a @ T_b )
| ~ ( c_Fun_Oinj__on @ V_f @ ( c_Set_Oinsert @ V_a @ V_A @ T_a ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[834]) ).
thf(947,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Otl @ V_xs @ T_a ) @ T_a )
= ( c_List_Otl @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[833]) ).
thf(948,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)],[832]) ).
thf(949,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)],[831]) ).
thf(950,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_Divides_Osemiring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ V_a @ V_b @ T_a ) @ V_b @ T_a )
= ( c_Divides_Odiv__class_Omod @ V_a @ V_b @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[830]) ).
thf(951,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)],[829]) ).
thf(952,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)],[828]) ).
thf(953,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)],[827]) ).
thf(954,plain,
( ( ! [V_m: $i,V_n: $i] :
( ( ( c_Divides_Odiv__class_Omod @ V_m @ V_n @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) @ V_n @ tc_nat ) )
| ~ ( c_lessequals @ V_n @ V_m @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[826]) ).
thf(955,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)],[825]) ).
thf(956,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)],[824]) ).
thf(957,plain,
( ( ! [V_m: $i,V_n: $i] :
( ( V_m = V_n )
| ~ ( c_lessequals @ V_n @ V_m @ tc_nat )
| ~ ( c_lessequals @ V_m @ V_n @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[823]) ).
thf(958,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)],[822]) ).
thf(959,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)],[821]) ).
thf(960,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)],[820]) ).
thf(961,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)],[819]) ).
thf(962,plain,
( ( ! [T_a: $i,V_b: $i,V_c: $i,V_b_H: $i,V_a: $i,V_a_H: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ( ( c_Divides_Odiv__class_Omod @ V_b @ V_c @ T_a )
!= ( c_Divides_Odiv__class_Omod @ V_b_H @ V_c @ T_a ) )
| ( ( c_Divides_Odiv__class_Omod @ V_a @ V_c @ T_a )
!= ( c_Divides_Odiv__class_Omod @ V_a_H @ V_c @ T_a ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a @ V_b @ T_a ) @ V_c @ T_a )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ V_a_H @ V_b_H @ T_a ) @ V_c @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[818]) ).
thf(963,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)],[817]) ).
thf(964,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)],[816]) ).
thf(965,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)],[815]) ).
thf(966,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)],[814]) ).
thf(967,plain,
( ( ! [V_n: $i] : ( c_lessequals @ V_n @ V_n @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[813]) ).
thf(968,plain,
( ( ! [V_i: $i,V_k: $i,V_j: $i] :
( ( c_lessequals @ V_i @ V_k @ tc_nat )
| ~ ( c_lessequals @ V_j @ V_k @ tc_nat )
| ~ ( c_lessequals @ V_i @ V_j @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[812]) ).
thf(969,plain,
( ( ! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[811]) ).
thf(970,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_lessequals @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[810]) ).
thf(971,plain,
( ( ! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[809]) ).
thf(972,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)],[808]) ).
thf(973,plain,
( ( ! [V_f: $i,V_A: $i,T_a: $i,T_b: $i,V_B: $i] :
( ( c_Fun_Oinj__on @ V_f @ V_A @ T_a @ T_b )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ V_f @ V_B @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[807]) ).
thf(974,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)],[806]) ).
thf(975,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)],[805]) ).
thf(976,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)],[804]) ).
thf(977,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)],[803]) ).
thf(978,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[802]) ).
thf(979,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_x_H: $i,V_y_H: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_y @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) )
| ( c_lessequals @ V_y_H @ V_x_H @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[801]) ).
thf(980,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_x_H: $i,V_y_H: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( ( c_HOL_Ominus__class_Ominus @ V_x @ V_y @ T_a )
!= ( c_HOL_Ominus__class_Ominus @ V_x_H @ V_y_H @ T_a ) )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_y_H @ V_x_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[800]) ).
thf(981,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)],[799]) ).
thf(982,plain,
( ( ! [V_n: $i,V_m: $i] :
( ( c_lessequals @ V_n @ V_m @ tc_nat )
| ( c_lessequals @ V_m @ V_n @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[798]) ).
thf(983,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)],[797]) ).
thf(984,plain,
( ( ! [V_n: $i,T_a: $i,V_xs: $i] :
( ( c_List_Orotate @ V_n @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Orotate @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ tc_nat ) @ V_xs @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[796]) ).
thf(985,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)],[795]) ).
thf(986,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)],[794]) ).
thf(987,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)],[793]) ).
thf(988,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)],[792]) ).
thf(989,plain,
( ( ! [V_x: $i,V_ys: $i,T_a: $i] :
~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ V_x @ V_ys @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[791]) ).
thf(990,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)],[790]) ).
thf(991,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)],[789]) ).
thf(992,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)],[788]) ).
thf(993,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[787]) ).
thf(994,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)],[786]) ).
thf(995,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Otake @ V_n @ V_xs @ T_a )
= V_xs )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[785]) ).
thf(996,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[784]) ).
thf(997,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)],[783]) ).
thf(998,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)],[782]) ).
thf(999,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[781]) ).
thf(1000,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_n @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[780]) ).
thf(1001,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i] :
( ( ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a )
= V_xs )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_i @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[779]) ).
thf(1002,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_OdropWhile @ V_P @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[778]) ).
thf(1003,plain,
( ( ! [V_n: $i,V_m: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Otake @ V_m @ V_xs @ T_a ) @ T_a )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ V_m @ V_n @ tc_nat ) @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[777]) ).
thf(1004,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ V_xs @ T_a )
= ( c_List_Orotate @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[776]) ).
thf(1005,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)],[775]) ).
thf(1006,plain,
( ( ! [V_xs: $i,T_a: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[774]) ).
thf(1007,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[773]) ).
thf(1008,plain,
( ( ! [V_f2: $i,V_xa: $i,V_g2: $i,T_a: $i,V_x: $i,V_f3: $i,V_g3: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) )
| ( ( c_Message_Oagent_Oagent__case @ V_x @ V_f2 @ V_f3 @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_x @ V_g2 @ V_g3 @ V_xa @ T_a ) )
| ( V_xa = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(copy,[status(thm)],[772]) ).
thf(1009,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[771]) ).
thf(1010,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)],[770]) ).
thf(1011,plain,
( ( ! [V_i: $i,V_k: $i,V_x: $i,T_a: $i] :
( ( c_List_Odrop @ V_i @ ( c_List_Oreplicate @ V_k @ V_x @ T_a ) @ T_a )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ V_k @ V_i @ tc_nat ) @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[769]) ).
thf(1012,plain,
( ( ! [V_xs: $i,V_I: $i,T_a: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Osublist @ V_xs @ V_I @ T_a ) @ T_a ) @ ( c_List_Oset @ V_xs @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[768]) ).
thf(1013,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(copy,[status(thm)],[767]) ).
thf(1014,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(copy,[status(thm)],[766]) ).
thf(1015,plain,
( ( ! [V_f2: $i,V_xa: $i,V_g2: $i,T_a: $i,V_f1: $i,V_x: $i,V_g1: $i] :
( ( ( hAPP @ V_f2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) )
!= ( hAPP @ V_g2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xa @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_xa = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_x @ V_xa @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_x @ V_xa @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[765]) ).
thf(1016,plain,
( ( ! [V_xb: $i,V_f2: $i,V_g2: $i,T_a: $i,V_xa: $i,V_x: $i] :
( ( V_xb
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) ) )
| ( ( c_Message_Oagent_Oagent__case @ V_xa @ V_f2 @ V_x @ V_xb @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_xa @ V_g2 @ V_x @ V_xb @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[764]) ).
thf(1017,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[763]) ).
thf(1018,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f3 ) )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[762]) ).
thf(1019,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)],[761]) ).
thf(1020,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlist__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[760]) ).
thf(1021,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[759]) ).
thf(1022,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ V_P ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[758]) ).
thf(1023,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ V_P ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[757]) ).
thf(1024,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ V_P ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[756]) ).
thf(1025,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ V_P ) @ ( v_sko__List__Xzip__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[755]) ).
thf(1026,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlistset__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[754]) ).
thf(1027,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ V_P ) @ ( v_sko__List__Xremove1__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[753]) ).
thf(1028,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ V_P ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[752]) ).
thf(1029,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[751]) ).
thf(1030,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ V_P ) @ ( v_sko__List__Xlast__Xinduct__2 @ V_P ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[750]) ).
thf(1031,plain,
( ( ! [V_ys_092_060_094isub_0621: $i,T_a: $i,V_xs_092_060_094isub_0621: $i,V_xs_092_060_094isub_0622: $i] :
( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a )
!= V_ys_092_060_094isub_0621 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat )
| ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ V_xs_092_060_094isub_0622 @ T_a )
= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a ) @ V_xs_092_060_094isub_0622 @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[749]) ).
thf(1032,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,T_a: $i,V_ys_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( V_xs_092_060_094isub_0621
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) )
| ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) @ T_a )
= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[748]) ).
thf(1033,plain,
( ( ! [T_b: $i,V_f: $i,V_xs: $i,T_a: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ T_b )
| ( ( c_Finite__Set_Osetsum @ V_f @ ( c_List_Oset @ V_xs @ T_a ) @ T_a @ T_b )
= ( c_List_Olistsum @ ( c_List_Omap @ V_f @ V_xs @ T_a @ T_b ) @ T_b ) )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[747]) ).
thf(1034,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)],[746]) ).
thf(1035,plain,
( ( ! [T_a: $i,V_i: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Otake @ V_i @ V_xs @ T_a ) )
= ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_i @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[745]) ).
thf(1036,plain,
( ( ! [T_a: $i,V_i: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Odrop @ V_i @ V_xs @ T_a ) )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_i @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[744]) ).
thf(1037,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)],[743]) ).
thf(1038,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)],[742]) ).
thf(1039,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(copy,[status(thm)],[741]) ).
thf(1040,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i,T_a: $i,V_g1: $i,V_g2: $i,V_g3: $i] :
( ( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ T_a )
= ( c_Message_Oagent_Oagent__case @ V_g1 @ V_g2 @ V_g3 @ V_x @ T_a ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_x @ V_f2 @ V_g2 @ T_a ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(copy,[status(thm)],[740]) ).
thf(1041,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ V_x @ t_a ) ) )
| ( V_x = c_Message_Oagent_OSpy )
| ( V_x
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ V_P @ V_f2 @ V_x ) ) )
| ( V_x = c_Message_Oagent_OServer ) ) )
= $true ),
inference(copy,[status(thm)],[739]) ).
thf(1042,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ V_xs @ T_a )
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_xs @ T_a ) @ ( c_List_Otake @ ( c_Divides_Odiv__class_Omod @ V_n @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ tc_nat ) @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[738]) ).
thf(1043,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)],[737]) ).
thf(1044,plain,
( ( ! [T_a: $i,V_n: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[736]) ).
thf(1045,plain,
( ( ! [V_n: $i,V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Otake @ V_n @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Otake @ V_n @ V_xs @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[735]) ).
thf(1046,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)],[734]) ).
thf(1047,plain,
( ( ! [V_nat_H: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[733]) ).
thf(1048,plain,
( ( ! [V_P: $i,V_n: $i,V_xs: $i,T_a: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ ( c_List_Otake @ V_n @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[732]) ).
thf(1049,plain,
( ( ! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_Fun_Oinj__on @ V_f @ ( c_List_Oset @ V_xs @ T_b ) @ T_b @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[731]) ).
thf(1050,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)],[730]) ).
thf(1051,plain,
( ( ! [V_xs: $i,V_ys: $i,T_a: $i] :
( ( V_xs = V_ys )
| ~ ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_xs @ V_ys @ T_a @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[729]) ).
thf(1052,plain,
( ( ! [V_f: $i,V_a: $i,V_x: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofoldl @ V_f @ V_a @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_a @ T_b )
= ( c_List_Ofoldl @ V_f @ ( hAPP @ ( hAPP @ V_f @ V_a ) @ V_x ) @ V_xs @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[728]) ).
thf(1053,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)],[727]) ).
thf(1054,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)],[726]) ).
thf(1055,plain,
( ( ! [V_P: $i,V_a: $i,V_c: $i,T_a: $i,V_b: $i,V_d: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_a @ V_c @ T_a ) @ ( c_List_Oappend @ V_b @ V_d @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_c @ V_d @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_a @ V_b @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[725]) ).
thf(1056,plain,
( ( ! [V_xa: $i,T_a: $i,V_zs: $i,T_b: $i,V_x: $i,V_ys: $i,V_P: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xa @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_zs @ ( tc_List_Olist @ T_b ) ) )
| ( ( c_Nat_Osize__class_Osize @ V_x @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_x @ V_xa @ T_a ) @ ( c_List_Oappend @ V_ys @ V_zs @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xa @ V_zs @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_x @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[724]) ).
thf(1057,plain,
( ( ! [V_xa: $i,T_b: $i,V_ys: $i,T_a: $i,V_x: $i,V_xs: $i,V_P: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xa @ ( tc_List_Olist @ T_b ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_a ) ) )
| ( ( c_Nat_Osize__class_Osize @ V_x @ ( tc_List_Olist @ T_b ) )
!= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) )
| ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ ( c_List_Oappend @ V_x @ V_xa @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_ys @ V_xa @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_x @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[723]) ).
thf(1058,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)],[722]) ).
thf(1059,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)],[721]) ).
thf(1060,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)],[720]) ).
thf(1061,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)],[719]) ).
thf(1062,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)],[718]) ).
thf(1063,plain,
( ( ! [V_ys: $i,V_xs: $i,T_a: $i] :
( V_ys
= ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[717]) ).
thf(1064,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)],[716]) ).
thf(1065,plain,
( ( ! [V_f: $i,V_x: $i,V_xa: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_OCons @ ( hAPP @ V_f @ V_x ) @ ( c_List_Omap @ V_f @ V_xa @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[715]) ).
thf(1066,plain,
( ( ! [V_f: $i,V_xa: $i,V_xb: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ V_f @ V_xa ) @ ( c_List_Omap @ V_f @ V_xb @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[714]) ).
thf(1067,plain,
( ( ! [V_f: $i,V_x: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_OCons @ ( hAPP @ V_f @ V_x ) @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[713]) ).
thf(1068,plain,
( ( ! [V_f1: $i,V_f2: $i,V_a: $i,V_list: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_a @ V_list @ T_b ) @ T_a @ T_b )
= ( hAPP @ ( hAPP @ V_f2 @ V_a ) @ V_list ) ) )
= $true ),
inference(copy,[status(thm)],[712]) ).
thf(1069,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)],[711]) ).
thf(1070,plain,
( ( ! [V_nat_H: $i] :
( ( c_Message_Oagent_OFriend @ V_nat_H )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(copy,[status(thm)],[710]) ).
thf(1071,plain,
( ( ! [V_P: $i,V_x: $i,V_y: $i,V_xs: $i,T_a: $i,V_ys: $i,T_b: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[709]) ).
thf(1072,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)],[708]) ).
thf(1073,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)],[707]) ).
thf(1074,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)],[706]) ).
thf(1075,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OServer @ T_a )
= V_f1 ) )
= $true ),
inference(copy,[status(thm)],[705]) ).
thf(1076,plain,
( ( ! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
| ~ ( c_Fun_Oinj__on @ V_f @ ( c_List_Oset @ V_xs @ T_b ) @ T_b @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[704]) ).
thf(1077,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oappend @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ ( c_List_Odrop @ V_n @ V_xs @ T_a ) @ T_a )
= V_xs ) )
= $true ),
inference(copy,[status(thm)],[703]) ).
thf(1078,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)],[702]) ).
thf(1079,plain,
( ( ! [V_i: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Odrop @ V_i @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[701]) ).
thf(1080,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[700]) ).
thf(1081,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)],[699]) ).
thf(1082,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)],[698]) ).
thf(1083,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[697]) ).
thf(1084,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)],[696]) ).
thf(1085,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i,V_us: $i,V_vs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_us @ T_a ) @ ( c_List_Oappend @ V_ys @ V_vs @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_us @ V_vs @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[695]) ).
thf(1086,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)],[694]) ).
thf(1087,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)],[693]) ).
thf(1088,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)],[692]) ).
thf(1089,plain,
( ( ! [V_xs: $i,V_i: $i,V_x: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ V_xs @ V_i @ V_x @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[691]) ).
thf(1090,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)],[690]) ).
thf(1091,plain,
( ( ! [V_f: $i,V_xs: $i,V_k: $i,V_y: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist__update @ V_xs @ V_k @ V_y @ T_b ) @ T_b @ T_a )
= ( c_List_Olist__update @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ V_k @ ( hAPP @ V_f @ V_y ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[689]) ).
thf(1092,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_nat: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_nat ) @ T_a )
= ( hAPP @ V_f2 @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[688]) ).
thf(1093,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_ys @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[687]) ).
thf(1094,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)],[686]) ).
thf(1095,plain,
( ( ! [V_i: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Otake @ V_i @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[685]) ).
thf(1096,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)],[684]) ).
thf(1097,plain,
( ( ! [V_f: $i,V_a: $i,V_xs: $i,V_ys: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofoldl @ V_f @ V_a @ ( c_List_Oappend @ V_xs @ V_ys @ T_b ) @ T_a @ T_b )
= ( c_List_Ofoldl @ V_f @ ( c_List_Ofoldl @ V_f @ V_a @ V_xs @ T_a @ T_b ) @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[683]) ).
thf(1098,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)],[682]) ).
thf(1099,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)],[681]) ).
thf(1100,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Message_Oagent_OFriend @ V_nat )
!= ( c_Message_Oagent_OFriend @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[680]) ).
thf(1101,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)],[679]) ).
thf(1102,plain,
( ( ! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[678]) ).
thf(1103,plain,
( ( ! [V_P: $i,T_a: $i,T_b: $i] : ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b ) )
= $true ),
inference(copy,[status(thm)],[677]) ).
thf(1104,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( V_xs
= ( c_List_Olist_ONil @ T_a ) )
| ~ ( c_List_Onull @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[676]) ).
thf(1105,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)],[675]) ).
thf(1106,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)],[674]) ).
thf(1107,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)],[673]) ).
thf(1108,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)],[672]) ).
thf(1109,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)],[671]) ).
thf(1110,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)],[670]) ).
thf(1111,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( ( c_List_Orotate @ V_n @ V_xs @ T_a )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[669]) ).
thf(1112,plain,
( ( ! [V_xs: $i,T_a: $i,V_P: $i,T_b: $i] :
( ( V_xs
= ( c_List_Olist_ONil @ T_a ) )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[668]) ).
thf(1113,plain,
( ( ! [V_ys: $i,T_b: $i,V_P: $i,T_a: $i] :
( ( V_ys
= ( c_List_Olist_ONil @ T_b ) )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[667]) ).
thf(1114,plain,
( ( ! [T_a: $i] : ( c_List_Odistinct @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[666]) ).
thf(1115,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)],[665]) ).
thf(1116,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)],[664]) ).
thf(1117,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)],[663]) ).
thf(1118,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)],[662]) ).
thf(1119,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)],[661]) ).
thf(1120,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)],[660]) ).
thf(1121,plain,
( ( ! [V_A: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Olistsp @ V_A @ V_xs @ T_a )
| ~ ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[659]) ).
thf(1122,plain,
( ( ! [V_A: $i,V_ys: $i,T_a: $i,V_xs: $i] :
( ( c_List_Olistsp @ V_A @ V_ys @ T_a )
| ~ ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[658]) ).
thf(1123,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)],[657]) ).
thf(1124,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)],[656]) ).
thf(1125,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)],[655]) ).
thf(1126,plain,
( ( ! [T_a: $i,V_n: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ V_n @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[654]) ).
thf(1127,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)],[653]) ).
thf(1128,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i,V_x: $i,V_y: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[652]) ).
thf(1129,plain,
( ( ! [V_n: $i,V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Orotate @ V_n @ V_xs @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[651]) ).
thf(1130,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)],[650]) ).
thf(1131,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)],[649]) ).
thf(1132,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) )
| ( ( c_List_Oremdups @ V_xs @ T_a )
= V_xs ) ) )
= $true ),
inference(copy,[status(thm)],[648]) ).
thf(1133,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oremdups @ V_xs @ T_a )
!= V_xs )
| ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[647]) ).
thf(1134,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i] :
( V_xs
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[646]) ).
thf(1135,plain,
( ( ! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[645]) ).
thf(1136,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)],[644]) ).
thf(1137,plain,
( ( ! [V_f: $i,V_n: $i,V_x: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Oreplicate @ V_n @ V_x @ T_b ) @ T_b @ T_a )
= ( c_List_Oreplicate @ V_n @ ( hAPP @ V_f @ V_x ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[643]) ).
thf(1138,plain,
( ( ! [V_f: $i,V_xs: $i,V_ys: $i,T_b: $i,V_a: $i,T_a: $i] :
( ( c_List_Ofoldr @ V_f @ ( c_List_Oappend @ V_xs @ V_ys @ T_b ) @ V_a @ T_b @ T_a )
= ( c_List_Ofoldr @ V_f @ V_xs @ ( c_List_Ofoldr @ V_f @ V_ys @ V_a @ T_b @ T_a ) @ T_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[642]) ).
thf(1139,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__ex @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[641]) ).
thf(1140,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)],[640]) ).
thf(1141,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ) )
= $true ),
inference(copy,[status(thm)],[639]) ).
thf(1142,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i,V_xa: $i,V_xb: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_xa @ V_xb @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_xb @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_xa ) ) ) )
= $true ),
inference(copy,[status(thm)],[638]) ).
thf(1143,plain,
( ( ! [V_P: $i,V_x: $i,V_xa: $i,T_a: $i,V_y: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xa @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xa @ V_ys @ T_a @ T_b )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) ) ) )
= $true ),
inference(copy,[status(thm)],[637]) ).
thf(1144,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__ex @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olist__ex @ V_P @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[636]) ).
thf(1145,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( c_List_Olist__ex @ V_P @ V_xs @ T_a )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_List_Olist__ex @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[635]) ).
thf(1146,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[634]) ).
thf(1147,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)],[633]) ).
thf(1148,plain,
( ( ! [V_r: $i,V_x: $i,V_xs: $i,T_a: $i,V_y: $i,V_ys: $i] :
( ( c_List_Olistrelp @ V_r @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olistrelp @ V_r @ V_xs @ V_ys @ T_a )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ V_r @ V_x ) @ V_y ) ) ) )
= $true ),
inference(copy,[status(thm)],[632]) ).
thf(1149,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)],[631]) ).
thf(1150,plain,
( ( ! [V_xs: $i,V_I: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Osublist @ V_xs @ V_I @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[630]) ).
thf(1151,plain,
( ( ! [V_f: $i,V_xs: $i,T_b: $i,T_a: $i,V_ys: $i] :
( ( ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a )
!= ( c_List_Omap @ V_f @ V_ys @ T_b @ T_a ) )
| ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_b ) )
= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[629]) ).
thf(1152,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_m: $i,V_zs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( ( c_Map_Omap__upds @ V_m @ ( c_List_Oappend @ V_xs @ V_zs @ T_a ) @ V_ys @ T_a @ T_b )
= ( c_Map_Omap__upds @ V_m @ V_xs @ V_ys @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[628]) ).
thf(1153,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_m: $i,V_zs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( ( c_Map_Omap__upds @ V_m @ V_xs @ ( c_List_Oappend @ V_ys @ V_zs @ T_b ) @ T_a @ T_b )
= ( c_Map_Omap__upds @ V_m @ V_xs @ V_ys @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[627]) ).
thf(1154,plain,
( ( ! [V_xs: $i,T_a: $i,V_zs: $i] :
( ( V_xs
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_zs @ T_a ) )
| ( ( c_List_Oappend @ V_xs @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_zs @ T_a ) @ T_a )
= V_zs ) ) )
= $true ),
inference(copy,[status(thm)],[626]) ).
thf(1155,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)],[625]) ).
thf(1156,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)],[624]) ).
thf(1157,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)],[623]) ).
thf(1158,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i,V_us: $i,V_vs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_us @ T_a ) @ ( c_List_Oappend @ V_ys @ V_vs @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[622]) ).
thf(1159,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $i,V_P: $i,V_us: $i,V_vs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ( c_List_Olist__all2 @ V_P @ V_us @ V_vs @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( c_List_Oappend @ V_xs @ V_us @ T_a ) @ ( c_List_Oappend @ V_ys @ V_vs @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[621]) ).
thf(1160,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)],[620]) ).
thf(1161,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[619]) ).
thf(1162,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate1 @ V_xs @ T_a ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[618]) ).
thf(1163,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)],[617]) ).
thf(1164,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)],[616]) ).
thf(1165,plain,
( ( ! [V_f: $i,V_xs: $i,V_ys: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Oappend @ V_xs @ V_ys @ T_b ) @ T_b @ T_a )
= ( c_List_Oappend @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ ( c_List_Omap @ V_f @ V_ys @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[615]) ).
thf(1166,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OServer @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[614]) ).
thf(1167,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)],[613]) ).
thf(1168,plain,
( ( ! [V_P: $i,V_n: $i,V_as: $i,T_a: $i,V_bs: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( c_List_Odrop @ V_n @ V_as @ T_a ) @ ( c_List_Odrop @ V_n @ V_bs @ T_b ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_as @ V_bs @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[612]) ).
thf(1169,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)],[611]) ).
thf(1170,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)],[610]) ).
thf(1171,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)],[609]) ).
thf(1172,plain,
( ( ! [V_f1: $i,V_f2: $i,V_a: $i,V_list: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__rec @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_a @ V_list @ T_b ) @ T_a @ T_b )
= ( hAPP @ ( hAPP @ ( hAPP @ V_f2 @ V_a ) @ V_list ) @ ( c_List_Olist_Olist__rec @ V_f1 @ V_f2 @ V_list @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[608]) ).
thf(1173,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[607]) ).
thf(1174,plain,
( ( ! [V_xs: $i,T_b: $i,V_f: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_b )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[606]) ).
thf(1175,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)],[605]) ).
thf(1176,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)],[604]) ).
thf(1177,plain,
( ( ! [V_xs: $i,T_a: $i,V_n: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[603]) ).
thf(1178,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[602]) ).
thf(1179,plain,
( ( ! [V_A: $i,V_xs: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a )
| ~ ( c_List_Olistsp @ V_A @ V_ys @ T_a )
| ~ ( c_List_Olistsp @ V_A @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[601]) ).
thf(1180,plain,
( ( ! [V_n: $i,V_x: $i,T_a: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) @ ( tc_List_Olist @ T_a ) )
= V_n ) )
= $true ),
inference(copy,[status(thm)],[600]) ).
thf(1181,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_nat: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_nat ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ V_nat ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[599]) ).
thf(1182,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i,V_xa: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_xa ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ V_f2 @ V_xa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[598]) ).
thf(1183,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
~ ( c_List_Onull @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[597]) ).
thf(1184,plain,
( ( ! [V_f: $i,V_x: $i,V_xs: $i,T_b: $i,V_a: $i,T_a: $i] :
( ( c_List_Ofoldr @ V_f @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_b ) @ V_a @ T_b @ T_a )
= ( hAPP @ ( hAPP @ V_f @ V_x ) @ ( c_List_Ofoldr @ V_f @ V_xs @ V_a @ T_b @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[596]) ).
thf(1185,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)],[595]) ).
thf(1186,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,V_nat: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__rec @ V_f1 @ V_f2 @ V_f3 @ ( c_Message_Oagent_OFriend @ V_nat ) @ T_a )
= ( hAPP @ V_f2 @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[594]) ).
thf(1187,plain,
( ( ! [V_xs: $i,V_x: $i,V_ys: $i,T_a: $i,V_y: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_x @ V_ys @ T_a ) @ T_a ) @ ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) @ V_y @ T_a )
= ( c_List_Oappend @ V_xs @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[593]) ).
thf(1188,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)],[592]) ).
thf(1189,plain,
( ( ! [V_xs: $i,T_a: $i] : ( c_List_Odistinct @ ( c_List_Oremdups @ V_xs @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[591]) ).
thf(1190,plain,
( ( ! [V_ys_092_060_094isub_0621: $i,T_a: $i,V_xs_092_060_094isub_0621: $i,V_ys_092_060_094isub_0622: $i] :
( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) @ T_a )
!= V_ys_092_060_094isub_0622 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_ys_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_xs_092_060_094isub_0621 @ T_a )
!= V_ys_092_060_094isub_0621 )
| ( V_xs_092_060_094isub_0621
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) )
| ( ( c_List_Oappend @ V_xs_092_060_094isub_0621 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ V_xs_092_060_094isub_0621 @ ( tc_List_Olist @ T_a ) ) @ V_ys_092_060_094isub_0621 @ T_a ) @ V_ys_092_060_094isub_0622 @ T_a ) @ T_a )
= ( c_List_Oappend @ V_ys_092_060_094isub_0621 @ V_ys_092_060_094isub_0622 @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[590]) ).
thf(1191,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)],[589]) ).
thf(1192,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)],[588]) ).
thf(1193,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)],[587]) ).
thf(1194,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)],[586]) ).
thf(1195,plain,
( ( ! [V_P: $i,V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[585]) ).
thf(1196,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)],[584]) ).
thf(1197,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)],[583]) ).
thf(1198,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)],[582]) ).
thf(1199,plain,
( ( ! [V_n: $i,V_f: $i,V_xs: $i,T_b: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Odrop @ V_n @ V_xs @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[581]) ).
thf(1200,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)],[580]) ).
thf(1201,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__rec @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OServer @ T_a )
= V_f1 ) )
= $true ),
inference(copy,[status(thm)],[579]) ).
thf(1202,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)],[578]) ).
thf(1203,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)],[577]) ).
thf(1204,plain,
( ( ! [T_a: $i,V_x: $i] : ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_x @ V_x @ T_a @ T_a ) )
= $true ),
inference(copy,[status(thm)],[576]) ).
thf(1205,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)],[575]) ).
thf(1206,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)],[574]) ).
thf(1207,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i,V_ys: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[573]) ).
thf(1208,plain,
( ( ! [V_P: $i,V_ys: $i,T_a: $i,V_xs: $i] :
( ( c_List_Olist__all @ V_P @ V_ys @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[572]) ).
thf(1209,plain,
( ( ! [V_n: $i,V_xs: $i,T_a: $i] :
( ( c_List_Orotate1 @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a )
= ( c_List_Orotate @ V_n @ ( c_List_Orotate1 @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[571]) ).
thf(1210,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_a: $i,V_list: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_a @ V_list @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ ( hAPP @ V_f2 @ V_a ) @ V_list ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[570]) ).
thf(1211,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_xa: $i,V_xb: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_OCons @ V_xa @ V_xb @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ V_P @ ( hAPP @ ( hAPP @ V_f2 @ V_xa ) @ V_xb ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[569]) ).
thf(1212,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)],[568]) ).
thf(1213,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)],[567]) ).
thf(1214,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)],[566]) ).
thf(1215,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)],[565]) ).
thf(1216,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)],[564]) ).
thf(1217,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)],[563]) ).
thf(1218,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)],[562]) ).
thf(1219,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)],[561]) ).
thf(1220,plain,
( ( ! [V_f: $i,V_a: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofoldl @ V_f @ V_a @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_a ) )
= $true ),
inference(copy,[status(thm)],[560]) ).
thf(1221,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlistsum__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[559]) ).
thf(1222,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)],[558]) ).
thf(1223,plain,
( ( ! [V_n: $i,T_a: $i] :
( ( c_List_Odrop @ V_n @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[557]) ).
thf(1224,plain,
( ( ! [T_a: $i,V_f: $i,V_xs: $i,T_b: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[556]) ).
thf(1225,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__XremoveAll__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[555]) ).
thf(1226,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)],[554]) ).
thf(1227,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)],[553]) ).
thf(1228,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)],[552]) ).
thf(1229,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)],[551]) ).
thf(1230,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)],[550]) ).
thf(1231,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)],[549]) ).
thf(1232,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)],[548]) ).
thf(1233,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)],[547]) ).
thf(1234,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlast__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[546]) ).
thf(1235,plain,
( ( ! [V_n: $i,T_a: $i] :
( ( c_List_Otake @ V_n @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[545]) ).
thf(1236,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__XtakeWhile__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[544]) ).
thf(1237,plain,
( ( ! [V_A: $i,T_a: $i] : ( c_List_Olistsp @ V_A @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[543]) ).
thf(1238,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlist__update__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[542]) ).
thf(1239,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xfoldl__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[541]) ).
thf(1240,plain,
( ( ! [V_P: $i,T_a: $i] : ( c_List_Olist__all @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[540]) ).
thf(1241,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)],[539]) ).
thf(1242,plain,
( ( ! [V_P: $i,T_a: $i] :
~ ( c_List_Olist__ex @ V_P @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[538]) ).
thf(1243,plain,
( ( ! [T_a: $i] : ( c_List_Onull @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[537]) ).
thf(1244,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ V_P @ V_f1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[536]) ).
thf(1245,plain,
( ( ! [V_f: $i,T_b: $i,V_a: $i,T_a: $i] :
( ( c_List_Ofoldr @ V_f @ ( c_List_Olist_ONil @ T_b ) @ V_a @ T_b @ T_a )
= V_a ) )
= $true ),
inference(copy,[status(thm)],[535]) ).
thf(1246,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xzip__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[534]) ).
thf(1247,plain,
( ( ! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_List_Omap @ V_f @ ( c_List_Olist_ONil @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[533]) ).
thf(1248,plain,
( ( ! [T_a: $i,V_A: $i] :
( ( c_List_Osublist @ ( c_List_Olist_ONil @ T_a ) @ V_A @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[532]) ).
thf(1249,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlistset__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[531]) ).
thf(1250,plain,
( ( ! [V_f1: $i,V_f2: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__rec @ V_f1 @ V_f2 @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_f1 ) )
= $true ),
inference(copy,[status(thm)],[530]) ).
thf(1251,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__XdropWhile__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[529]) ).
thf(1252,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xtake__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[528]) ).
thf(1253,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)],[527]) ).
thf(1254,plain,
( ( ! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_List_Ofiltermap @ V_f @ ( c_List_Olist_ONil @ T_b ) @ T_b @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[526]) ).
thf(1255,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)],[525]) ).
thf(1256,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)],[524]) ).
thf(1257,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)],[523]) ).
thf(1258,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)],[522]) ).
thf(1259,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)],[521]) ).
thf(1260,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xconcat__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[520]) ).
thf(1261,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)],[519]) ).
thf(1262,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)],[518]) ).
thf(1263,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)],[517]) ).
thf(1264,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xdistinct__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[516]) ).
thf(1265,plain,
( ( ! [V_m: $i,V_as: $i,T_b: $i,T_a: $i] :
( ( c_Map_Omap__upds @ V_m @ V_as @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_m ) )
= $true ),
inference(copy,[status(thm)],[515]) ).
thf(1266,plain,
( ( ! [V_m: $i,T_a: $i,V_bs: $i,T_b: $i] :
( ( c_Map_Omap__upds @ V_m @ ( c_List_Olist_ONil @ T_a ) @ V_bs @ T_a @ T_b )
= V_m ) )
= $true ),
inference(copy,[status(thm)],[514]) ).
thf(1267,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xremove1__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[513]) ).
thf(1268,plain,
( ( ! [V_f1: $i,V_f2: $i,T_b: $i,T_a: $i] :
( ( c_List_Olist_Olist__case @ V_f1 @ V_f2 @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b )
= V_f1 ) )
= $true ),
inference(copy,[status(thm)],[512]) ).
thf(1269,plain,
( ( ! [V_n: $i,T_a: $i] :
( ( c_List_Orotate @ V_n @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[511]) ).
thf(1270,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xlist__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[510]) ).
thf(1271,plain,
( ( ! [T_a: $i,V_f: $i,T_b: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( c_List_Omap @ V_f @ ( c_List_Olist_ONil @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[509]) ).
thf(1272,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)],[508]) ).
thf(1273,plain,
( ( ! [V_r: $i,T_a: $i] : ( c_List_Olistrelp @ V_r @ ( c_List_Olist_ONil @ T_a ) @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[507]) ).
thf(1274,plain,
( ( ! [V_P: $i,V_list: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_list ) )
| ( hBOOL @ ( hAPP @ V_P @ ( v_sko__List__Xmap__Xinduct__2 @ V_P ) ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[506]) ).
thf(1275,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)],[505]) ).
thf(1276,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( c_List_Ohd @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Olast @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[504]) ).
thf(1277,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( c_List_Olast @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Ohd @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[503]) ).
thf(1278,plain,
( ( ! [T_a: $i,V_x: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[502]) ).
thf(1279,plain,
( ( ! [T_a: $i,V_xs: $i,V_y: $i,V_ys: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) )
| ( V_xs
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[501]) ).
thf(1280,plain,
( ( ! [T_a: $i,V_ys: $i,V_y: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) @ ( c_List_Olist_OCons @ V_y @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) )
= ( c_List_Olist_OCons @ V_y @ V_ys @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[500]) ).
thf(1281,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OSpy @ T_a )
= V_f3 ) )
= $true ),
inference(copy,[status(thm)],[499]) ).
thf(1282,plain,
( ( ! [V_nat: $i] :
( ( c_Message_Oagent_OFriend @ V_nat )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(copy,[status(thm)],[498]) ).
thf(1283,plain,
( ( ! [V_f1: $i,V_f2: $i,V_f3: $i,T_a: $i] :
( ( c_Message_Oagent_Oagent__rec @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OSpy @ T_a )
= V_f3 ) )
= $true ),
inference(copy,[status(thm)],[497]) ).
thf(1284,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(copy,[status(thm)],[496]) ).
thf(1285,plain,
( ( ! [V_P: $i,V_f1: $i,V_f2: $i,V_f3: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ ( c_Message_Oagent_Oagent__case @ V_f1 @ V_f2 @ V_f3 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ V_P @ V_f3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[495]) ).
thf(1286,plain,
( ( ! [V_nat: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[494]) ).
thf(1287,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(1288,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)],[492]) ).
thf(1289,plain,
( ( ! [T_a: $i,V_P: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Ofilter @ V_P @ V_xs @ T_a ) )
= ( c_List_Ofilter @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(1290,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( c_Nat_Osize__class_Osize @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( tc_List_Olist @ T_a ) )
= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(1291,plain,
( ( ! [V_P: $i,T_a: $i,V_xs: $i] :
( ( c_List_Olist__all @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
| ~ ( c_List_Olist__all @ V_P @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(1292,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ~ ( c_List_Olist__all @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(1293,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ T_a )
| ( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Olistsum @ V_xs @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(1294,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( c_List_Oset @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Oset @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(1295,plain,
( ( ! [T_a: $i,V_n: $i,V_x: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Oreplicate @ V_n @ V_x @ T_a ) )
= ( c_List_Oreplicate @ V_n @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(1296,plain,
( ( ! [V_P: $i,T_a: $i,V_xs: $i,T_b: $i,V_ys: $i] :
( ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(1297,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(1298,plain,
( ( ! [T_a: $i,V_f: $i,V_xs: $i,T_b: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) )
= ( c_List_Omap @ V_f @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_xs ) @ T_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(1299,plain,
( ( ! [T_a: $i,V_A: $i] : ( c_Fun_Oinj__on @ ( c_List_Orev @ T_a ) @ V_A @ ( tc_List_Olist @ T_a ) @ ( tc_List_Olist @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(1300,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
| ~ ( c_List_Odistinct @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(1301,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ~ ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(1302,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(1303,plain,
( ( ! [V_P: $i,T_a: $i,V_xs: $i,V_ys: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ V_ys @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ V_xs @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(1304,plain,
( ( ! [V_P: $i,V_xs: $i,T_b: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ ( hAPP @ ( c_List_Orev @ T_b ) @ V_ys ) @ T_a @ T_b )
| ~ ( c_List_Olist__all2 @ V_P @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(1305,plain,
( ( ! [V_evs: $i,V_A: $i,V_X: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ V_evs @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(1306,plain,
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(1307,plain,
( ( ! [T_a: $i,V_xs: $i,V_x: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( 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)],[473]) ).
thf(1308,plain,
( ( ! [V_x: $i,T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
!= ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) )
| ( V_xs
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(1309,plain,
( ( ! [T_a: $i,V_x: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(1310,plain,
( ( ! [V_x: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(1311,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)],[469]) ).
thf(1312,plain,
( ( ! [T_a: $i] :
( ( c_List_Olist_ONil @ T_a )
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(1313,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( c_List_Olist_ONil @ T_a )
!= ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(1314,plain,
( ( ! [T_a: $i,V_xs: $i,V_ys: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) )
| ( V_xs = V_ys ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(1315,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) )
= V_xs ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(1316,plain,
( ( ! [T_a: $i,V_ys: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_ys ) )
= V_ys ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(1317,plain,
( ( ! [V_xs: $i,T_a: $i] :
( V_xs
= ( hAPP @ ( c_List_Orev @ T_a ) @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(1318,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs )
!= ( c_List_Olist_ONil @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(1319,plain,
( ( ! [T_a: $i] :
( ( hAPP @ ( c_List_Orev @ T_a ) @ ( c_List_Olist_ONil @ T_a ) )
= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(1320,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)],[460]) ).
thf(1321,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)],[459]) ).
thf(1322,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)],[458]) ).
thf(1323,plain,
( ( class_OrderedGroup_Ocomm__monoid__add @ tc_nat )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(1324,plain,
( ( class_Divides_Osemiring__div @ tc_nat )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(1325,plain,
( ( class_Orderings_Opreorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(1326,plain,
( ( class_Orderings_Olinorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(1327,plain,
( ( class_Orderings_Oorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(1328,plain,
( ( class_HOL_Oord @ tc_nat )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(1329,plain,
( ( class_Orderings_Opreorder @ tc_bool )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(1330,plain,
( ( class_Orderings_Oorder @ tc_bool )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(1331,plain,
( ( class_HOL_Oord @ tc_bool )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(1332,plain,
( ( ! [T_a: $i,V_x: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_x ) @ V_x ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(1333,plain,
( ( ! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_X ) @ V_Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(1334,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[890]) ).
thf(1335,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_Omap @ SX0 @ SX1 @ SX2 @ SX3 )
!= ( c_List_Olist_ONil @ SX3 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1102]) ).
thf(1336,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ( ( hAPP @ SX0 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
!= ( hAPP @ SX2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SX4 @ SX0 @ SX5 @ SX1 @ SX3 )
= ( c_Message_Oagent_Oagent__case @ SX4 @ SX2 @ SX6 @ SX1 @ SX3 ) )
| ( SX1 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1008]) ).
thf(1337,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
( ( ( hAPP @ SX0 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
!= ( hAPP @ SX2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
| ( SX1 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SX4 @ SX0 @ SX5 @ SX1 @ SX3 )
= ( c_Message_Oagent_Oagent__case @ SX6 @ SX2 @ SX7 @ SX1 @ SX3 ) )
| ( SX1 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(unfold_def,[status(thm)],[910]) ).
thf(1338,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( ( hAPP @ SX0 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
!= ( hAPP @ SX2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SX4 @ SX0 @ SX5 @ SX1 @ SX3 )
= ( c_Message_Oagent_Oagent__case @ SX4 @ SX2 @ SX5 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[924]) ).
thf(1339,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)],[1109]) ).
thf(1340,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( hAPP @ ( c_List_Orev @ SX0 ) @ SX1 )
!= ( c_List_Olist_ONil @ SX0 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1318]) ).
thf(1341,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) @ SX2 @ SX1 )
!= SX0 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX1 ) ) @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) @ tc_nat )
| ( ( c_List_Oappend @ SX2 @ SX3 @ SX1 )
= ( c_List_Oappend @ SX0 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) @ SX2 @ SX1 ) @ SX3 @ SX1 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1031]) ).
thf(1342,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( hAPP @ ( c_List_Orev @ SX0 ) @ SX1 )
!= ( c_List_Olist_OCons @ SX2 @ ( c_List_Olist_ONil @ SX0 ) @ SX0 ) )
| ( SX1
= ( c_List_Olist_OCons @ SX2 @ ( c_List_Olist_ONil @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1307]) ).
thf(1343,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( SX0
!= ( c_List_Olist_OCons @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1087]) ).
thf(1344,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)],[1118]) ).
thf(1345,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oappend @ SX3 @ SX4 @ SX2 ) )
| ( SX1
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX2 ) ) @ SX3 @ SX2 ) @ SX4 @ SX2 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX2 ) ) @ ( c_Nat_Osize__class_Osize @ SX3 @ ( tc_List_Olist @ SX2 ) ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[906]) ).
thf(1346,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( hAPP @ ( c_List_Orev @ SX0 ) @ SX1 )
!= ( hAPP @ ( c_List_Orev @ SX0 ) @ SX2 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1314]) ).
thf(1347,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)],[1107]) ).
thf(1348,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Orotate @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_ONil @ SX2 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1111]) ).
thf(1349,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_List_Oremdups @ SX0 @ SX1 )
!= SX0 )
| ( c_List_Odistinct @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1081]) ).
thf(1350,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)],[1262]) ).
thf(1351,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)],[1116]) ).
thf(1352,plain,
( ( ! [SX0: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1047]) ).
thf(1353,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)],[1108]) ).
thf(1354,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oappend @ SX3 @ SX4 @ SX2 ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SX3 @ ( tc_List_Olist @ SX2 ) ) @ SX0 @ SX2 )
= SX3 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX2 ) ) @ ( c_Nat_Osize__class_Osize @ SX3 @ ( tc_List_Olist @ SX2 ) ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[903]) ).
thf(1355,plain,
( ( ! [SX0: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1286]) ).
thf(1356,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)],[1261]) ).
thf(1357,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)],[1125]) ).
thf(1358,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Omap @ SX0 @ SX1 @ SX2 @ SX3 )
!= ( c_List_Omap @ SX0 @ SX4 @ SX2 @ SX3 ) )
| ( ( c_Nat_Osize__class_Osize @ SX1 @ ( tc_List_Olist @ SX2 ) )
= ( c_Nat_Osize__class_Osize @ SX4 @ ( tc_List_Olist @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1151]) ).
thf(1359,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)],[1053]) ).
thf(1360,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oappend @ SX3 @ SX4 @ SX2 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SX3 @ ( tc_List_Olist @ SX2 ) ) @ SX0 @ SX2 ) @ SX1 @ SX2 )
= SX4 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX2 ) ) @ ( c_Nat_Osize__class_Osize @ SX3 @ ( tc_List_Olist @ SX2 ) ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[907]) ).
thf(1361,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)],[1192]) ).
thf(1362,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)],[1106]) ).
thf(1363,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)],[1123]) ).
thf(1364,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)],[894]) ).
thf(1365,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_Olist_ONil @ SX0 )
!= ( c_List_Omap @ SX1 @ SX2 @ SX3 @ SX0 ) )
| ( SX2
= ( c_List_Olist_ONil @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1224]) ).
thf(1366,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_List_Olist_ONil @ SX0 )
!= ( hAPP @ ( c_List_Orev @ SX0 ) @ SX1 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1313]) ).
thf(1367,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ( ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) )
!= ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX3 ) ) )
| ( c_List_Olist__all2 @ SX4 @ ( c_List_Oappend @ SX0 @ SX5 @ SX1 ) @ ( c_List_Oappend @ SX2 @ SX6 @ SX3 ) @ SX1 @ SX3 )
| ~ ( c_List_Olist__all2 @ SX4 @ SX5 @ SX6 @ SX1 @ SX3 )
| ~ ( c_List_Olist__all2 @ SX4 @ SX0 @ SX2 @ SX1 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1085]) ).
thf(1368,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)],[1110]) ).
thf(1369,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)],[1119]) ).
thf(1370,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)],[1206]) ).
thf(1371,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Odrop @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_ONil @ SX2 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SX1 @ ( tc_List_Olist @ SX2 ) ) @ SX0 @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[901]) ).
thf(1372,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) @ SX2 @ SX1 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX1 ) ) @ SX0 @ SX1 ) @ SX3 @ SX1 ) @ SX1 )
!= SX3 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) @ SX2 @ SX1 )
!= SX0 )
| ( SX2
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX1 ) ) @ SX0 @ SX1 ) )
| ( ( c_List_Oappend @ SX2 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX1 ) ) @ SX0 @ SX1 ) @ SX3 @ SX1 ) @ SX1 )
= ( c_List_Oappend @ SX0 @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1190]) ).
thf(1373,plain,
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
!= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[891]) ).
thf(1374,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SX0 @ SX1 @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ SX2 @ SX1 @ tc_nat ) )
| ~ ( c_lessequals @ SX1 @ SX2 @ tc_nat )
| ~ ( c_lessequals @ SX1 @ SX0 @ tc_nat )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[936]) ).
thf(1375,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(unfold_def,[status(thm)],[1287]) ).
thf(1376,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( hAPP @ ( c_List_Orev @ SX0 ) @ SX1 )
!= ( c_List_Olist_OCons @ SX2 @ SX3 @ SX0 ) )
| ( SX1
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SX0 ) @ SX3 ) @ ( c_List_Olist_OCons @ SX2 @ ( c_List_Olist_ONil @ SX0 ) @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1279]) ).
thf(1377,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)],[1050]) ).
thf(1378,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[1086]) ).
thf(1379,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)],[1156]) ).
thf(1380,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)],[1191]) ).
thf(1381,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_List_Oremdups @ SX0 @ SX1 )
!= SX0 )
| ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SX0 @ SX1 ) @ ( tc_List_Olist @ SX1 ) )
= ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1133]) ).
thf(1382,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( SX0
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) @ SX2 @ SX1 ) )
| ( ( c_List_Oappend @ SX0 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) @ SX2 @ SX1 ) @ SX3 @ SX1 ) @ SX1 )
= ( c_List_Oappend @ SX2 @ SX3 @ SX1 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) @ ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX1 ) ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1032]) ).
thf(1383,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)],[897]) ).
thf(1384,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Oappend @ SX0 @ SX1 @ SX2 )
!= ( c_List_Oappend @ SX3 @ SX4 @ SX2 ) )
| ( SX0
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX2 ) ) @ SX3 @ SX2 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX2 ) ) @ ( c_Nat_Osize__class_Osize @ SX3 @ ( tc_List_Olist @ SX2 ) ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[905]) ).
thf(1385,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ ( c_List_Olist_ONil @ SX1 ) @ SX1 )
!= ( hAPP @ ( c_List_Orev @ SX1 ) @ SX2 ) )
| ( SX2
= ( c_List_Olist_OCons @ SX0 @ ( c_List_Olist_ONil @ SX1 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1308]) ).
thf(1386,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ( ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) )
!= ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX3 ) ) )
| ( c_List_Olist__all2 @ SX4 @ SX0 @ SX2 @ SX1 @ SX3 )
| ~ ( c_List_Olist__all2 @ SX4 @ ( c_List_Oappend @ SX0 @ SX5 @ SX1 ) @ ( c_List_Oappend @ SX2 @ SX6 @ SX3 ) @ SX1 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1158]) ).
thf(1387,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ( ( hAPP @ SX0 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) )
!= ( hAPP @ SX2 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SX1 @ SX0 @ SX2 @ SX3 ) ) )
| ( SX1 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SX4 @ SX0 @ SX5 @ SX1 @ SX3 )
= ( c_Message_Oagent_Oagent__case @ SX6 @ SX2 @ SX5 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1015]) ).
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 ) )
| ( SX0 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[898]) ).
thf(1389,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(unfold_def,[status(thm)],[1284]) ).
thf(1390,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ SX0 )
| ( ( c_HOL_Ominus__class_Ominus @ SX1 @ SX1 @ SX0 )
!= ( c_HOL_Ominus__class_Ominus @ SX2 @ SX3 @ SX0 ) )
| ( SX2 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[937]) ).
thf(1391,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)],[1140]) ).
thf(1392,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( class_Divides_Oring__div @ SX0 )
| ( ( c_Divides_Odiv__class_Omod @ SX1 @ SX2 @ SX0 )
!= ( c_Divides_Odiv__class_Omod @ SX3 @ SX2 @ SX0 ) )
| ( ( c_Divides_Odiv__class_Omod @ SX4 @ SX2 @ SX0 )
!= ( c_Divides_Odiv__class_Omod @ SX5 @ SX2 @ SX0 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SX4 @ SX1 @ SX0 ) @ SX2 @ SX0 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SX5 @ SX3 @ SX0 ) @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[962]) ).
thf(1393,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ( ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) )
!= ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX3 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SX4 @ ( tc_List_Olist @ SX1 ) )
!= ( c_Nat_Osize__class_Osize @ SX5 @ ( tc_List_Olist @ SX3 ) ) )
| ( c_List_Olist__all2 @ SX6 @ ( c_List_Oappend @ SX5 @ SX2 @ SX3 ) @ ( c_List_Oappend @ SX4 @ SX0 @ SX1 ) @ SX3 @ SX1 )
| ~ ( c_List_Olist__all2 @ SX6 @ SX2 @ SX0 @ SX3 @ SX1 )
| ~ ( c_List_Olist__all2 @ SX6 @ SX5 @ SX4 @ SX3 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1057]) ).
thf(1394,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)],[1117]) ).
thf(1395,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)],[1124]) ).
thf(1396,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) )
!= ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX3 ) ) )
| ( ( c_Map_Omap__upds @ SX4 @ ( c_List_Oappend @ SX0 @ SX5 @ SX1 ) @ SX2 @ SX1 @ SX3 )
= ( c_Map_Omap__upds @ SX4 @ SX0 @ SX2 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1152]) ).
thf(1397,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SX0 )
| ( ( c_HOL_Ominus__class_Ominus @ SX1 @ SX2 @ SX0 )
!= ( c_HOL_Ominus__class_Ominus @ SX3 @ SX4 @ SX0 ) )
| ( c_lessequals @ SX4 @ SX3 @ SX0 )
| ~ ( c_lessequals @ SX2 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[979]) ).
thf(1398,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_Message_Oagent_OFriend @ SX0 )
!= ( c_Message_Oagent_OFriend @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1100]) ).
thf(1399,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ SX0 )
| ( ( c_HOL_Ominus__class_Ominus @ SX1 @ SX2 @ SX0 )
!= ( c_HOL_Ominus__class_Ominus @ SX3 @ SX3 @ SX0 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[938]) ).
thf(1400,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ( ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) )
!= ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX3 ) ) )
| ( c_List_Olist__all2 @ SX4 @ SX5 @ SX6 @ SX1 @ SX3 )
| ~ ( c_List_Olist__all2 @ SX4 @ ( c_List_Oappend @ SX0 @ SX5 @ SX1 ) @ ( c_List_Oappend @ SX2 @ SX6 @ SX3 ) @ SX1 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1159]) ).
thf(1401,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)],[1115]) ).
thf(1402,plain,
( ( ! [SX0: $i] :
( ( c_Message_Oagent_OFriend @ SX0 )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(unfold_def,[status(thm)],[1070]) ).
thf(1403,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SX0 )
| ( ( c_HOL_Ominus__class_Ominus @ SX1 @ SX2 @ SX0 )
!= ( c_HOL_Ominus__class_Ominus @ SX3 @ SX4 @ SX0 ) )
| ( c_lessequals @ SX2 @ SX1 @ SX0 )
| ~ ( c_lessequals @ SX4 @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[980]) ).
thf(1404,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) @ SX2 @ SX1 ) )
| ( ( c_List_Oappend @ SX0 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) @ SX2 @ SX1 ) @ SX1 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1154]) ).
thf(1405,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)],[1233]) ).
thf(1406,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)],[1205]) ).
thf(1407,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)],[1255]) ).
thf(1408,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)],[896]) ).
thf(1409,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)],[1127]) ).
thf(1410,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ( ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) )
!= ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX3 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SX4 @ ( tc_List_Olist @ SX1 ) )
!= ( c_Nat_Osize__class_Osize @ SX5 @ ( tc_List_Olist @ SX3 ) ) )
| ( c_List_Olist__all2 @ SX6 @ ( c_List_Oappend @ SX4 @ SX0 @ SX1 ) @ ( c_List_Oappend @ SX5 @ SX2 @ SX3 ) @ SX1 @ SX3 )
| ~ ( c_List_Olist__all2 @ SX6 @ SX0 @ SX2 @ SX1 @ SX3 )
| ~ ( c_List_Olist__all2 @ SX6 @ SX4 @ SX5 @ SX1 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1056]) ).
thf(1411,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) )
!= ( c_Nat_Osize__class_Osize @ SX2 @ ( tc_List_Olist @ SX3 ) ) )
| ( ( c_Map_Omap__upds @ SX4 @ SX0 @ ( c_List_Oappend @ SX2 @ SX5 @ SX3 ) @ SX1 @ SX3 )
= ( c_Map_Omap__upds @ SX4 @ SX0 @ SX2 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1153]) ).
thf(1412,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)],[1275]) ).
thf(1413,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)],[893]) ).
thf(1414,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)],[1157]) ).
thf(1415,plain,
( ( ! [SX0: $i] :
( ( c_Message_Oagent_OFriend @ SX0 )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(unfold_def,[status(thm)],[1282]) ).
thf(1416,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SX0 @ SX1 ) @ ( tc_List_Olist @ SX1 ) )
!= ( c_Nat_Osize__class_Osize @ SX0 @ ( tc_List_Olist @ SX1 ) ) )
| ( ( c_List_Oremdups @ SX0 @ SX1 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1132]) ).
thf(1417,plain,
! [SV1: $i] :
( ( ! [SY1489: $i,SY1490: $i,SY1491: $i,SY1492: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV1 @ SY1489 ) @ ( c_Event_Oknows @ SV1 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY1490 @ SY1491 @ SY1492 ) @ SY1489 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(1418,plain,
! [SV2: $i] :
( ( ! [SY1493: $i,SY1494: $i,SY1495: $i] :
( ( c_Event_Oknows @ SV2 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV2 @ SY1493 @ SY1494 ) @ SY1495 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY1494 @ ( c_Event_Oknows @ SV2 @ SY1495 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(1419,plain,
! [SV3: $i] :
( ( ! [SY1496: $i,SY1497: $i,SY1498: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV3 @ SY1496 @ SY1497 ) @ SY1498 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY1497 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1498 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(1420,plain,
! [SV4: $i] :
( ( ! [SY1499: $i,SY1500: $i,SY1501: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV4 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY1499 @ SY1500 @ SY1501 ) @ SV4 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[900]) ).
thf(1421,plain,
! [SV5: $i] :
( ( ! [SY1502: $i,SY1503: $i] :
( ( ( c_List_Odrop @ SV5 @ SY1502 @ SY1503 )
= ( c_List_Olist_ONil @ SY1503 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SY1502 @ ( tc_List_Olist @ SY1503 ) ) @ SV5 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(1422,plain,
! [SV6: $i] :
( ( ! [SY1504: $i,SY1505: $i,SY1506: $i] :
( ( c_List_Otake @ SV6 @ ( c_List_Oappend @ SY1504 @ SY1505 @ SY1506 ) @ SY1506 )
= ( c_List_Oappend @ ( c_List_Otake @ SV6 @ SY1504 @ SY1506 ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV6 @ ( c_Nat_Osize__class_Osize @ SY1504 @ ( tc_List_Olist @ SY1506 ) ) @ tc_nat ) @ SY1505 @ SY1506 ) @ SY1506 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(1423,plain,
! [SV7: $i] :
( ( ! [SY1507: $i,SY1508: $i,SY1509: $i] :
( ( c_List_Odrop @ SV7 @ ( c_List_Oappend @ SY1507 @ SY1508 @ SY1509 ) @ SY1509 )
= ( c_List_Oappend @ ( c_List_Odrop @ SV7 @ SY1507 @ SY1509 ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ SV7 @ ( c_Nat_Osize__class_Osize @ SY1507 @ ( tc_List_Olist @ SY1509 ) ) @ tc_nat ) @ SY1508 @ SY1509 ) @ SY1509 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(1424,plain,
! [SV8: $i] :
( ( ! [SY1510: $i,SY1511: $i,SY1512: $i,SY1513: $i] :
( ( hBOOL @ ( hAPP @ SV8 @ ( c_Message_Oagent_Oagent__case @ SY1510 @ SY1511 @ SY1512 @ SY1513 @ t_a ) ) )
| ( SY1513 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV8 @ ( hAPP @ SY1511 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV8 @ SY1511 @ SY1513 ) ) ) )
| ( SY1513 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(1425,plain,
! [SV9: $i] :
( ( ! [SY1514: $i,SY1515: $i,SY1516: $i,SY1517: $i] :
( ( hBOOL @ ( hAPP @ SV9 @ ( c_Message_Oagent_Oagent__case @ SY1514 @ SY1515 @ SY1516 @ SY1517 @ t_a ) ) )
| ( SY1517 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV9 @ ( hAPP @ SY1515 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV9 @ SY1515 @ SY1517 ) ) ) )
| ( SY1517 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(1426,plain,
! [SV10: $i] :
( ( ! [SY1518: $i,SY1519: $i,SY1520: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV10 @ SY1518 ) @ ( c_Event_Oknows @ SV10 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY1519 @ SY1520 ) @ SY1518 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(1427,plain,
! [SV11: $i] :
( ( ! [SY1521: $i,SY1522: $i,SY1523: $i,SY1524: $i] :
( ( hBOOL @ ( hAPP @ SV11 @ ( c_Message_Oagent_Oagent__case @ SY1521 @ SY1522 @ SY1523 @ SY1524 @ t_a ) ) )
| ( SY1524 = c_Message_Oagent_OSpy )
| ( SY1524
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV11 @ SY1522 @ SY1524 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV11 @ SY1521 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(1428,plain,
! [SV12: $i] :
( ( ! [SY1525: $i,SY1526: $i,SY1527: $i,SY1528: $i,SY1529: $i,SY1530: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV12 @ SY1525 @ SY1526 @ SY1527 @ SY1528 )
= ( c_Message_Oagent_Oagent__case @ SV12 @ SY1529 @ SY1530 @ SY1527 @ SY1528 ) )
| ( SY1527 = c_Message_Oagent_OSpy )
| ( SY1527
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1527 @ SY1525 @ SY1529 @ SY1528 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1429,plain,
! [SV13: $i] :
( ( ! [SY1531: $i,SY1532: $i,SY1533: $i,SY1534: $i] :
( ( hBOOL @ ( hAPP @ SV13 @ ( c_Message_Oagent_Oagent__case @ SY1531 @ SY1532 @ SY1533 @ SY1534 @ t_a ) ) )
| ( SY1534 = c_Message_Oagent_OSpy )
| ( SY1534
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV13 @ SY1532 @ SY1534 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV13 @ SY1531 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(1430,plain,
! [SV14: $i] :
( ( ! [SY1535: $i,SY1536: $i,SY1537: $i,SY1538: $i] :
( ( hBOOL @ ( hAPP @ SV14 @ ( c_Message_Oagent_Oagent__case @ SY1535 @ SY1536 @ SY1537 @ SY1538 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV14 @ SY1537 ) )
| ( SY1538
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV14 @ SY1536 @ SY1538 ) ) )
| ( SY1538 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(1431,plain,
! [SV15: $i] :
( ( ! [SY1539: $i,SY1540: $i,SY1541: $i,SY1542: $i,SY1543: $i,SY1544: $i] :
( ( SV15
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV15 @ SY1539 @ SY1540 @ SY1541 ) ) )
| ( SV15 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY1542 @ SY1539 @ SY1543 @ SV15 @ SY1541 )
= ( c_Message_Oagent_Oagent__case @ SY1544 @ SY1540 @ SY1543 @ SV15 @ SY1541 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(1432,plain,
! [SV16: $i] :
( ( ! [SY1545: $i,SY1546: $i,SY1547: $i,SY1548: $i] :
( ( hBOOL @ ( hAPP @ SV16 @ ( c_Message_Oagent_Oagent__case @ SY1545 @ SY1546 @ SY1547 @ SY1548 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV16 @ SY1547 ) )
| ( SY1548
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV16 @ SY1546 @ SY1548 ) ) )
| ( SY1548 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1433,plain,
! [SV17: $i] :
( ( ! [SY1549: $i,SY1550: $i,SY1551: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV17 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY1549 @ SY1550 @ SY1551 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY1551 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV17 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1434,plain,
! [SV18: $i] :
( ( ! [SY1552: $i,SY1553: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ SV18 @ ( c_List_Olist_OCons @ SY1552 @ ( c_List_Olist_ONil @ SY1553 ) @ SY1553 ) @ SY1553 ) @ SY1553 )
= SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1435,plain,
! [SV19: $i] :
( ( ( c_List_Otl @ ( c_List_Olist_ONil @ SV19 ) @ SV19 )
= ( c_List_Olist_ONil @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(1436,plain,
! [SV20: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_ONil @ SV20 ) @ SV20 )
= ( c_List_Olist_ONil @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(1437,plain,
! [SV21: $i] :
( ( ! [SY1554: $i,SY1555: $i,SY1556: $i,SY1557: $i] :
( ~ ( class_HOL_Oord @ SV21 )
| ( c_lessequals @ ( hAPP @ SY1554 @ SY1555 ) @ ( hAPP @ SY1556 @ SY1555 ) @ SV21 )
| ~ ( c_lessequals @ SY1554 @ SY1556 @ ( tc_fun @ SY1557 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1438,plain,
! [SV22: $i] :
( ( ! [SY1558: $i,SY1559: $i,SY1560: $i,SY1561: $i] :
( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SY1558 @ SY1559 @ SY1560 @ SY1561 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SY1560 ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SY1559 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SY1559 @ SY1561 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SY1558 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1439,plain,
! [SV23: $i] :
( ( ! [SY1562: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV23 @ ( c_HOL_Ominus__class_Ominus @ SV23 @ SY1562 @ tc_nat ) @ tc_nat )
= SY1562 )
| ~ ( c_lessequals @ SY1562 @ SV23 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(1440,plain,
! [SV24: $i] :
( ( ! [SY1563: $i,SY1564: $i] :
( ( c_List_Obutlast @ ( c_List_Odrop @ SV24 @ SY1563 @ SY1564 ) @ SY1564 )
= ( c_List_Odrop @ SV24 @ ( c_List_Obutlast @ SY1563 @ SY1564 ) @ SY1564 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1441,plain,
! [SV25: $i] :
( ( ! [SY1565: $i,SY1566: $i,SY1567: $i] :
( ~ ( class_Divides_Oring__div @ SV25 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY1565 @ SY1566 @ SV25 ) @ SY1567 @ SV25 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SY1565 @ SY1567 @ SV25 ) @ ( c_Divides_Odiv__class_Omod @ SY1566 @ SY1567 @ SV25 ) @ SV25 ) @ SY1567 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(1442,plain,
! [SV26: $i] :
( ( ! [SY1568: $i] : ( c_lessequals @ ( c_Divides_Odiv__class_Omod @ SV26 @ SY1568 @ tc_nat ) @ SV26 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1443,plain,
! [SV27: $i] :
( ( ! [SY1569: $i,SY1570: $i,SY1571: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV27 @ SY1569 @ SY1570 ) @ SY1571 ) )
| ~ ( hBOOL @ ( hAPP @ SY1569 @ SY1571 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(1444,plain,
! [SV28: $i] :
( ( ! [SY1572: $i,SY1573: $i] :
( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV28 @ SY1572 @ tc_nat ) @ SY1573 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV28 @ SY1573 @ tc_nat ) @ SY1572 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1445,plain,
! [SV29: $i] :
( ( ! [SY1574: $i,SY1575: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV29 @ SY1574 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY1575 @ SY1574 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV29 @ SY1575 @ tc_nat ) )
| ~ ( c_lessequals @ SY1574 @ SY1575 @ tc_nat )
| ~ ( c_lessequals @ SY1574 @ SV29 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(1446,plain,
! [SV30: $i] :
( ( ! [SY1576: $i] : ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV30 @ SY1576 @ tc_nat ) @ SV30 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1447,plain,
! [SV31: $i] :
( ( ! [SY1577: $i,SY1578: $i] :
( ( c_List_Otl @ ( c_List_Odrop @ SV31 @ SY1577 @ SY1578 ) @ SY1578 )
= ( c_List_Odrop @ SV31 @ ( c_List_Otl @ SY1577 @ SY1578 ) @ SY1578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1448,plain,
! [SV32: $i] :
( ( ! [SY1579: $i,SY1580: $i] :
( ( c_List_Odrop @ SV32 @ ( c_List_Obutlast @ SY1579 @ SY1580 ) @ SY1580 )
= ( c_List_Obutlast @ ( c_List_Odrop @ SV32 @ SY1579 @ SY1580 ) @ SY1580 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1449,plain,
! [SV33: $i] :
( ( ! [SY1581: $i,SY1582: $i] :
( ( c_lessequals @ SV33 @ SY1581 @ tc_nat )
| ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV33 @ SY1582 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY1581 @ SY1582 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SY1582 @ SY1581 @ tc_nat )
| ~ ( c_lessequals @ SY1582 @ SV33 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1450,plain,
! [SV34: $i] :
( ( ! [SY1583: $i,SY1584: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV34 @ SY1583 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY1584 @ SY1583 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV34 @ SY1584 @ tc_nat )
| ~ ( c_lessequals @ SY1583 @ SY1584 @ tc_nat )
| ~ ( c_lessequals @ SY1583 @ SV34 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1451,plain,
! [SV35: $i] :
( ( ! [SY1585: $i,SY1586: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV35 @ SY1585 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY1586 @ SY1585 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV35 @ SY1586 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1452,plain,
! [SV36: $i] :
( ( ! [SY1587: $i,SY1588: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV36 @ SY1587 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV36 @ SY1588 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SY1588 @ SY1587 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1453,plain,
! [SV37: $i] :
( ( ! [SY1589: $i,SY1590: $i,SY1591: $i] :
( ( c_Set_Oinsert @ SV37 @ ( c_Set_Oinsert @ SY1589 @ SY1590 @ SY1591 ) @ SY1591 )
= ( c_Set_Oinsert @ SY1589 @ ( c_Set_Oinsert @ SV37 @ SY1590 @ SY1591 ) @ SY1591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1454,plain,
! [SV38: $i] :
( ( ! [SY1592: $i,SY1593: $i,SY1594: $i] :
( ~ ( class_Divides_Oring__div @ SV38 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY1592 @ SY1593 @ SV38 ) @ SY1594 @ SV38 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY1592 @ ( c_Divides_Odiv__class_Omod @ SY1593 @ SY1594 @ SV38 ) @ SV38 ) @ SY1594 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1455,plain,
! [SV39: $i] :
( ( ! [SY1595: $i,SY1596: $i,SY1597: $i] :
( ~ ( class_Divides_Oring__div @ SV39 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY1595 @ SY1596 @ SV39 ) @ SY1597 @ SV39 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SY1595 @ SY1597 @ SV39 ) @ SY1596 @ SV39 ) @ SY1597 @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1456,plain,
! [SV40: $i] :
( ( ! [SY1598: $i,SY1599: $i,SY1600: $i,SY1601: $i] :
( ( c_Fun_Oinj__on @ SV40 @ SY1598 @ SY1599 @ SY1600 )
| ~ ( c_Fun_Oinj__on @ SV40 @ ( c_Set_Oinsert @ SY1601 @ SY1598 @ SY1599 ) @ SY1599 @ SY1600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(1457,plain,
! [SV41: $i] :
( ( ! [SY1602: $i,SY1603: $i] :
( ( c_List_Odrop @ SV41 @ ( c_List_Otl @ SY1602 @ SY1603 ) @ SY1603 )
= ( c_List_Otl @ ( c_List_Odrop @ SV41 @ SY1602 @ SY1603 ) @ SY1603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1458,plain,
! [SV42: $i] :
( ( ! [SY1604: $i,SY1605: $i,SY1606: $i] :
( ( c_lessequals @ SV42 @ SY1604 @ ( tc_fun @ SY1605 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY1606 @ SV42 @ SY1605 ) @ SY1604 @ ( tc_fun @ SY1605 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1459,plain,
! [SV43: $i] :
( ( ! [SY1607: $i,SY1608: $i,SY1609: $i] :
( ( c_lessequals @ SV43 @ ( c_Set_Oinsert @ SY1607 @ SY1608 @ SY1609 ) @ ( tc_fun @ SY1609 @ tc_bool ) )
| ~ ( c_lessequals @ SV43 @ SY1608 @ ( tc_fun @ SY1609 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1460,plain,
! [SV44: $i] :
( ( ! [SY1610: $i,SY1611: $i] :
( ~ ( class_Divides_Osemiring__div @ SV44 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ SY1610 @ SY1611 @ SV44 ) @ SY1611 @ SV44 )
= ( c_Divides_Odiv__class_Omod @ SY1610 @ SY1611 @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1461,plain,
! [SV45: $i] :
( ( ! [SY1612: $i,SY1613: $i] :
( ( c_Set_Oinsert @ SV45 @ ( c_Set_Oinsert @ SV45 @ SY1612 @ SY1613 ) @ SY1613 )
= ( c_Set_Oinsert @ SV45 @ SY1612 @ SY1613 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1462,plain,
! [SV46: $i] :
( ( ! [SY1614: $i,SY1615: $i,SY1616: $i] :
( ( hBOOL @ ( hAPP @ SV46 @ SY1614 ) )
| ( SY1615 = SY1614 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY1615 @ SV46 @ SY1616 ) @ SY1614 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1463,plain,
! [SV47: $i] :
( ( ! [SY1617: $i,SY1618: $i] : ( c_lessequals @ SV47 @ ( c_Set_Oinsert @ SY1617 @ SV47 @ SY1618 ) @ ( tc_fun @ SY1618 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(1464,plain,
! [SV48: $i] :
( ( ! [SY1619: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SV48 @ SY1619 @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SY1619 @ tc_nat ) @ SY1619 @ tc_nat ) )
| ~ ( c_lessequals @ SY1619 @ SV48 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1465,plain,
! [SV49: $i] :
( ( ! [SY1620: $i,SY1621: $i] :
( ( c_List_Otl @ ( c_List_Olist_OCons @ SV49 @ SY1620 @ SY1621 ) @ SY1621 )
= SY1620 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1466,plain,
! [SV50: $i] :
( ( ! [SY1622: $i,SY1623: $i] :
( ( SV50 = SY1622 )
| ~ ( c_lessequals @ SY1622 @ SV50 @ ( tc_fun @ SY1623 @ tc_bool ) )
| ~ ( c_lessequals @ SV50 @ SY1622 @ ( tc_fun @ SY1623 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1467,plain,
! [SV51: $i] :
( ( ! [SY1624: $i] :
( ( SV51 = SY1624 )
| ~ ( c_lessequals @ SY1624 @ SV51 @ tc_nat )
| ~ ( c_lessequals @ SV51 @ SY1624 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1468,plain,
! [SV52: $i] :
( ( ! [SY1625: $i,SY1626: $i] :
( ( SV52 = SY1625 )
| ~ ( c_lessequals @ SY1625 @ SV52 @ ( tc_fun @ SY1626 @ tc_bool ) )
| ~ ( c_lessequals @ SV52 @ SY1625 @ ( tc_fun @ SY1626 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1469,plain,
! [SV53: $i] :
( ( ! [SY1627: $i,SY1628: $i] :
( ~ ( class_Orderings_Oorder @ SV53 )
| ( SY1627 = SY1628 )
| ~ ( c_lessequals @ SY1628 @ SY1627 @ SV53 )
| ~ ( c_lessequals @ SY1627 @ SY1628 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1470,plain,
! [SV54: $i] :
( ( ! [SY1629: $i,SY1630: $i] :
( ~ ( class_Orderings_Oorder @ SV54 )
| ( SY1629 = SY1630 )
| ~ ( c_lessequals @ SY1630 @ SY1629 @ SV54 )
| ~ ( c_lessequals @ SY1629 @ SY1630 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1471,plain,
! [SV55: $i] :
( ( ! [SY1631: $i,SY1632: $i] :
( ~ ( class_Orderings_Oorder @ SV55 )
| ( SY1631 = SY1632 )
| ~ ( c_lessequals @ SY1631 @ SY1632 @ SV55 )
| ~ ( c_lessequals @ SY1632 @ SY1631 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1472,plain,
! [SV56: $i] :
( ( ! [SY1633: $i,SY1634: $i,SY1635: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV56 @ SY1633 @ SY1634 @ SY1635 ) @ SY1635 ) @ ( c_Set_Oinsert @ SY1634 @ ( c_List_Oset @ SV56 @ SY1635 ) @ SY1635 ) @ ( tc_fun @ SY1635 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1473,plain,
! [SV57: $i] :
( ( ! [SY1636: $i,SY1637: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV57 @ SY1636 @ SY1637 ) @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1474,plain,
! [SV58: $i] :
( ( ! [SY1638: $i,SY1639: $i,SY1640: $i] :
( ~ ( class_Orderings_Oorder @ SV58 )
| ( c_lessequals @ SY1638 @ SY1639 @ SV58 )
| ~ ( c_lessequals @ SY1638 @ SY1640 @ SV58 )
| ~ ( c_lessequals @ SY1640 @ SY1639 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(1475,plain,
! [SV59: $i] :
( ( ! [SY1641: $i,SY1642: $i,SY1643: $i] :
( ~ ( class_Orderings_Opreorder @ SV59 )
| ( c_lessequals @ SY1641 @ SY1642 @ SV59 )
| ~ ( c_lessequals @ SY1643 @ SY1642 @ SV59 )
| ~ ( c_lessequals @ SY1641 @ SY1643 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[966]) ).
thf(1476,plain,
! [SV60: $i] :
( ( c_lessequals @ SV60 @ SV60 @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1477,plain,
! [SV61: $i] :
( ( ! [SY1644: $i,SY1645: $i] :
( ( c_lessequals @ SV61 @ SY1644 @ tc_nat )
| ~ ( c_lessequals @ SY1645 @ SY1644 @ tc_nat )
| ~ ( c_lessequals @ SV61 @ SY1645 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1478,plain,
! [SV62: $i] :
( ( c_lessequals @ SV62 @ SV62 @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1479,plain,
! [SV63: $i] :
( ( ! [SY1646: $i] : ( c_lessequals @ SV63 @ SV63 @ ( tc_fun @ SY1646 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1480,plain,
! [SV64: $i] :
( ( ! [SY1647: $i] : ( c_lessequals @ SV64 @ SV64 @ ( tc_fun @ SY1647 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1481,plain,
! [SV65: $i] :
( ( ! [SY1648: $i,SY1649: $i,SY1650: $i] :
( ( c_lessequals @ SV65 @ SY1648 @ ( tc_fun @ SY1649 @ tc_bool ) )
| ~ ( c_lessequals @ SY1650 @ SY1648 @ ( tc_fun @ SY1649 @ tc_bool ) )
| ~ ( c_lessequals @ SV65 @ SY1650 @ ( tc_fun @ SY1649 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1482,plain,
! [SV66: $i] :
( ( ! [SY1651: $i,SY1652: $i,SY1653: $i,SY1654: $i] :
( ( c_Fun_Oinj__on @ SV66 @ SY1651 @ SY1652 @ SY1653 )
| ~ ( c_lessequals @ SY1651 @ SY1654 @ ( tc_fun @ SY1652 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV66 @ SY1654 @ SY1652 @ SY1653 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1483,plain,
! [SV67: $i] :
( ( ! [SY1655: $i,SY1656: $i,SY1657: $i] :
( ( hBOOL @ ( hAPP @ SV67 @ SY1655 ) )
| ~ ( hBOOL @ ( hAPP @ SY1656 @ SY1655 ) )
| ~ ( c_lessequals @ SY1656 @ SV67 @ ( tc_fun @ SY1657 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[974]) ).
thf(1484,plain,
! [SV68: $i] :
( ( ! [SY1658: $i] :
( ~ ( class_Orderings_Oorder @ SV68 )
| ( c_lessequals @ SY1658 @ SY1658 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(1485,plain,
! [SV69: $i] :
( ( ! [SY1659: $i] :
( ~ ( class_Orderings_Opreorder @ SV69 )
| ( c_lessequals @ SY1659 @ SY1659 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[976]) ).
thf(1486,plain,
! [SV70: $i] :
( ( ! [SY1660: $i,SY1661: $i,SY1662: $i] :
( ( hBOOL @ ( hAPP @ SV70 @ SY1660 ) )
| ~ ( c_lessequals @ SY1661 @ SV70 @ ( tc_fun @ SY1662 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY1661 @ SY1660 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1487,plain,
! [SV71: $i] :
( ( ! [SY1663: $i,SY1664: $i,SY1665: $i,SY1666: $i] :
( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SY1663 @ SY1664 @ SY1665 @ SY1666 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SY1665 ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SY1664 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SY1664 @ SY1666 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SY1663 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(1488,plain,
! [SV72: $i] :
( ( ! [SY1667: $i,SY1668: $i,SY1669: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV72 @ SY1667 @ SY1668 ) @ ( c_Set_Oinsert @ SV72 @ SY1669 @ SY1668 ) @ ( tc_fun @ SY1668 @ tc_bool ) )
| ~ ( c_lessequals @ SY1667 @ SY1669 @ ( tc_fun @ SY1668 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1489,plain,
! [SV73: $i] :
( ( ! [SY1670: $i] :
( ( c_lessequals @ SV73 @ SY1670 @ tc_nat )
| ( c_lessequals @ SY1670 @ SV73 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[982]) ).
thf(1490,plain,
! [SV74: $i] :
( ( ! [SY1671: $i,SY1672: $i] :
( ~ ( class_Orderings_Olinorder @ SV74 )
| ( c_lessequals @ SY1671 @ SY1672 @ SV74 )
| ( c_lessequals @ SY1672 @ SY1671 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1491,plain,
! [SV75: $i] :
( ( ! [SY1673: $i,SY1674: $i] :
( ( c_List_Orotate @ SV75 @ ( hAPP @ ( c_List_Orev @ SY1673 ) @ SY1674 ) @ SY1673 )
= ( hAPP @ ( c_List_Orev @ SY1673 ) @ ( c_List_Orotate @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY1674 @ ( tc_List_Olist @ SY1673 ) ) @ ( c_Divides_Odiv__class_Omod @ SV75 @ ( c_Nat_Osize__class_Osize @ SY1674 @ ( tc_List_Olist @ SY1673 ) ) @ tc_nat ) @ tc_nat ) @ SY1674 @ SY1673 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1492,plain,
! [SV76: $i] :
( ( ! [SY1675: $i] :
( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV76 @ ( c_List_Olist_ONil @ SY1675 ) @ SY1675 ) @ SY1675 )
= ( c_List_Olist_ONil @ SY1675 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1493,plain,
! [SV77: $i] :
( ( ! [SY1676: $i,SY1677: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV77 @ SY1676 @ SY1677 ) @ SY1677 )
= ( c_List_Olist_OCons @ SV77 @ ( c_List_Obutlast @ SY1676 @ SY1677 ) @ SY1677 ) )
| ( SY1676
= ( c_List_Olist_ONil @ SY1677 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1494,plain,
! [SV78: $i] :
( ( ! [SY1678: $i,SY1679: $i] : ( c_lessequals @ ( c_List_Oset @ SV78 @ SY1678 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY1679 @ SV78 @ SY1678 ) @ SY1678 ) @ ( tc_fun @ SY1678 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[987]) ).
thf(1495,plain,
! [SV79: $i] :
( ( ! [SY1680: $i,SY1681: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ SV79 @ SY1680 @ SY1681 ) @ SY1681 )
= ( c_Set_Oinsert @ SV79 @ ( c_List_Oset @ SY1680 @ SY1681 ) @ SY1681 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1496,plain,
! [SV80: $i] :
( ( ! [SY1682: $i,SY1683: $i] :
~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ SV80 @ SY1682 @ SY1683 ) @ ( tc_List_Olist @ SY1683 ) ) @ ( c_Nat_Osize__class_Osize @ SY1682 @ ( tc_List_Olist @ SY1683 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[989]) ).
thf(1497,plain,
! [SV81: $i] :
( ( ! [SY1684: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ SV81 @ ( c_List_Olist_ONil @ SY1684 ) @ SY1684 ) @ SY1684 )
= ( c_List_Obutlast @ SV81 @ SY1684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[990]) ).
thf(1498,plain,
! [SV82: $i] :
( ( ! [SY1685: $i,SY1686: $i] :
( ( ( c_List_Otl @ ( c_List_Oappend @ SV82 @ SY1685 @ SY1686 ) @ SY1686 )
= ( c_List_Oappend @ ( c_List_Otl @ SV82 @ SY1686 ) @ SY1685 @ SY1686 ) )
| ( SV82
= ( c_List_Olist_ONil @ SY1686 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1499,plain,
! [SV83: $i] :
( ( ! [SY1687: $i,SY1688: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV83 @ SY1687 @ SY1688 ) @ SY1688 )
= ( c_List_Oappend @ SV83 @ ( c_List_Obutlast @ SY1687 @ SY1688 ) @ SY1688 ) )
| ( SY1687
= ( c_List_Olist_ONil @ SY1688 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1500,plain,
! [SV84: $i] :
( ( ! [SY1689: $i,SY1690: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Otake @ SV84 @ SY1689 @ SY1690 ) @ SY1690 ) @ ( c_List_Oset @ SY1689 @ SY1690 ) @ ( tc_fun @ SY1690 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1501,plain,
! [SV85: $i] :
( ( ! [SY1691: $i,SY1692: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ SV85 @ SY1691 @ SY1692 ) @ SY1692 ) @ ( c_List_Oset @ SY1691 @ SY1692 ) @ ( tc_fun @ SY1692 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1502,plain,
! [SV86: $i] :
( ( ! [SY1693: $i,SY1694: $i] :
( ( ( c_List_Otake @ SV86 @ SY1693 @ SY1694 )
= SY1693 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SY1693 @ ( tc_List_Olist @ SY1694 ) ) @ SV86 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1503,plain,
! [SV87: $i] :
( ( ! [SY1695: $i,SY1696: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Ofilter @ SV87 @ SY1695 @ SY1696 ) @ ( tc_List_Olist @ SY1696 ) ) @ ( c_Nat_Osize__class_Osize @ SY1695 @ ( tc_List_Olist @ SY1696 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1504,plain,
! [SV88: $i] :
( ( ! [SY1697: $i,SY1698: $i,SY1699: $i] :
( ~ ( class_Orderings_Olinorder @ SV88 )
| ( c_lessequals @ SY1697 @ SY1698 @ SV88 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1697 @ ( c_List_Olist_OCons @ SY1698 @ SY1699 @ SV88 ) @ SV88 ) @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1505,plain,
! [SV89: $i] :
( ( ! [SY1700: $i,SY1701: $i,SY1702: $i] :
( ~ ( class_Orderings_Olinorder @ SV89 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1700 @ ( c_List_Olist_OCons @ SY1701 @ SY1702 @ SV89 ) @ SV89 ) @ SV89 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1701 @ SY1702 @ SV89 ) @ SV89 )
| ~ ( c_lessequals @ SY1700 @ SY1701 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1506,plain,
! [SV90: $i] :
( ( ! [SY1703: $i,SY1704: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Odrop @ SV90 @ SY1703 @ SY1704 ) @ SY1704 ) @ ( c_List_Oset @ SY1703 @ SY1704 ) @ ( tc_fun @ SY1704 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1507,plain,
! [SV91: $i] :
( ( ! [SY1705: $i,SY1706: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Odrop @ SV91 @ SY1705 @ SY1706 ) @ ( tc_List_Olist @ SY1706 ) )
= ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY1705 @ ( tc_List_Olist @ SY1706 ) ) @ SV91 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1508,plain,
! [SV92: $i] :
( ( ! [SY1707: $i,SY1708: $i,SY1709: $i] :
( ( ( c_List_Olist__update @ SV92 @ SY1707 @ SY1708 @ SY1709 )
= SV92 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV92 @ ( tc_List_Olist @ SY1709 ) ) @ SY1707 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1001]) ).
thf(1509,plain,
! [SV93: $i] :
( ( ! [SY1710: $i,SY1711: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_OdropWhile @ SV93 @ SY1710 @ SY1711 ) @ ( tc_List_Olist @ SY1711 ) ) @ ( c_Nat_Osize__class_Osize @ SY1710 @ ( tc_List_Olist @ SY1711 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1002]) ).
thf(1510,plain,
! [SV94: $i] :
( ( ! [SY1712: $i,SY1713: $i,SY1714: $i] :
( ( c_List_Odrop @ SV94 @ ( c_List_Otake @ SY1712 @ SY1713 @ SY1714 ) @ SY1714 )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SY1712 @ SV94 @ tc_nat ) @ ( c_List_Odrop @ SV94 @ SY1713 @ SY1714 ) @ SY1714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1511,plain,
! [SV95: $i] :
( ( ! [SY1715: $i,SY1716: $i] :
( ( c_List_Orotate @ SV95 @ SY1715 @ SY1716 )
= ( c_List_Orotate @ ( c_Divides_Odiv__class_Omod @ SV95 @ ( c_Nat_Osize__class_Osize @ SY1715 @ ( tc_List_Olist @ SY1716 ) ) @ tc_nat ) @ SY1715 @ SY1716 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1512,plain,
! [SV96: $i] :
( ( ! [SY1717: $i,SY1718: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ SV96 @ SY1717 @ SY1718 ) @ SY1718 ) @ ( c_List_Oset @ SY1717 @ SY1718 ) @ ( tc_fun @ SY1718 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1513,plain,
! [SV97: $i] :
( ( ! [SY1719: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV97 @ SY1719 ) @ ( tc_List_Olist @ SY1719 ) ) @ ( c_Nat_Osize__class_Osize @ SV97 @ ( tc_List_Olist @ SY1719 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1514,plain,
! [SV98: $i] :
( ( ! [SY1720: $i,SY1721: $i,SY1722: $i,SY1723: $i] :
( ( hBOOL @ ( hAPP @ SV98 @ ( c_Message_Oagent_Oagent__case @ SY1720 @ SY1721 @ SY1722 @ SY1723 @ t_a ) ) )
| ( SY1723 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV98 @ ( hAPP @ SY1721 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV98 @ SY1721 @ SY1723 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ SY1720 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1515,plain,
! [SV99: $i] :
( ( ! [SY1724: $i,SY1725: $i,SY1726: $i,SY1727: $i] :
( ( hBOOL @ ( hAPP @ SV99 @ ( c_Message_Oagent_Oagent__case @ SY1724 @ SY1725 @ SY1726 @ SY1727 @ t_a ) ) )
| ( SY1727 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV99 @ ( hAPP @ SY1725 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV99 @ SY1725 @ SY1727 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV99 @ SY1724 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1009]) ).
thf(1516,plain,
! [SV100: $i] :
( ( ! [SY1728: $i,SY1729: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV100 @ SY1728 ) @ ( c_Event_Oknows @ SV100 @ ( c_List_Olist_OCons @ SY1729 @ SY1728 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1517,plain,
! [SV101: $i] :
( ( ! [SY1730: $i,SY1731: $i,SY1732: $i] :
( ( c_List_Odrop @ SV101 @ ( c_List_Oreplicate @ SY1730 @ SY1731 @ SY1732 ) @ SY1732 )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ SY1730 @ SV101 @ tc_nat ) @ SY1731 @ SY1732 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1518,plain,
! [SV102: $i] :
( ( ! [SY1733: $i,SY1734: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Osublist @ SV102 @ SY1733 @ SY1734 ) @ SY1734 ) @ ( c_List_Oset @ SV102 @ SY1734 ) @ ( tc_fun @ SY1734 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1012]) ).
thf(1519,plain,
! [SV103: $i] :
( ( ! [SY1735: $i,SY1736: $i,SY1737: $i,SY1738: $i] :
( ( hBOOL @ ( hAPP @ SV103 @ ( c_Message_Oagent_Oagent__case @ SY1735 @ SY1736 @ SY1737 @ SY1738 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ SY1737 ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ ( hAPP @ SY1736 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV103 @ SY1736 @ SY1738 ) ) ) )
| ( SY1738 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1013]) ).
thf(1520,plain,
! [SV104: $i] :
( ( ! [SY1739: $i,SY1740: $i,SY1741: $i,SY1742: $i] :
( ( hBOOL @ ( hAPP @ SV104 @ ( c_Message_Oagent_Oagent__case @ SY1739 @ SY1740 @ SY1741 @ SY1742 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ SY1741 ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ ( hAPP @ SY1740 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV104 @ SY1740 @ SY1742 ) ) ) )
| ( SY1742 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1521,plain,
! [SV105: $i] :
( ( ! [SY1743: $i,SY1744: $i,SY1745: $i,SY1746: $i,SY1747: $i] :
( ( SV105
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV105 @ SY1743 @ SY1744 @ SY1745 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY1746 @ SY1743 @ SY1747 @ SV105 @ SY1745 )
= ( c_Message_Oagent_Oagent__case @ SY1746 @ SY1744 @ SY1747 @ SV105 @ SY1745 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1522,plain,
! [SV106: $i] :
( ( ! [SY1748: $i,SY1749: $i,SY1750: $i,SY1751: $i] :
( ( hBOOL @ ( hAPP @ SV106 @ ( c_Message_Oagent_Oagent__case @ SY1748 @ SY1749 @ SY1750 @ SY1751 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SY1750 ) )
| ( SY1751
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV106 @ SY1749 @ SY1751 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SY1748 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1523,plain,
! [SV107: $i] :
( ( ! [SY1752: $i,SY1753: $i,SY1754: $i,SY1755: $i] :
( ( hBOOL @ ( hAPP @ SV107 @ ( c_Message_Oagent_Oagent__case @ SY1752 @ SY1753 @ SY1754 @ SY1755 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SY1754 ) )
| ( SY1755
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV107 @ SY1753 @ SY1755 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SY1752 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1524,plain,
! [SV108: $i] :
( ( ! [SY1756: $i] : ( c_lessequals @ ( c_Event_OinitState @ SV108 ) @ ( c_Event_Oknows @ SV108 @ SY1756 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1525,plain,
! [SV109: $i] :
( ( ! [SY1757: $i] :
( ( hBOOL @ ( hAPP @ SV109 @ SY1757 ) )
| ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV109 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV109 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1526,plain,
! [SV110: $i] :
( ( ! [SY1758: $i] :
( ( hBOOL @ ( hAPP @ SV110 @ SY1758 ) )
| ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV110 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV110 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1527,plain,
! [SV111: $i] :
( ( ! [SY1759: $i] :
( ( hBOOL @ ( hAPP @ SV111 @ SY1759 ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV111 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV111 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1528,plain,
! [SV112: $i] :
( ( ! [SY1760: $i] :
( ( hBOOL @ ( hAPP @ SV112 @ SY1760 ) )
| ~ ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV112 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV112 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1529,plain,
! [SV113: $i] :
( ( ! [SY1761: $i] :
( ( hBOOL @ ( hAPP @ SV113 @ SY1761 ) )
| ~ ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV113 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV113 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1530,plain,
! [SV114: $i] :
( ( ! [SY1762: $i] :
( ( hBOOL @ ( hAPP @ SV114 @ SY1762 ) )
| ~ ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV114 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV114 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1025]) ).
thf(1531,plain,
! [SV115: $i] :
( ( ! [SY1763: $i] :
( ( hBOOL @ ( hAPP @ SV115 @ SY1763 ) )
| ~ ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV115 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV115 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1026]) ).
thf(1532,plain,
! [SV116: $i] :
( ( ! [SY1764: $i] :
( ( hBOOL @ ( hAPP @ SV116 @ SY1764 ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV116 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV116 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1533,plain,
! [SV117: $i] :
( ( ! [SY1765: $i] :
( ( hBOOL @ ( hAPP @ SV117 @ SY1765 ) )
| ~ ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV117 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV117 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1534,plain,
! [SV118: $i] :
( ( ! [SY1766: $i] :
( ( hBOOL @ ( hAPP @ SV118 @ SY1766 ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV118 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV118 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1029]) ).
thf(1535,plain,
! [SV119: $i] :
( ( ! [SY1767: $i] :
( ( hBOOL @ ( hAPP @ SV119 @ SY1767 ) )
| ~ ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV119 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV119 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1536,plain,
! [SV120: $i] :
( ( ! [SY1768: $i,SY1769: $i,SY1770: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV120 )
| ( ( c_Finite__Set_Osetsum @ SY1768 @ ( c_List_Oset @ SY1769 @ SY1770 ) @ SY1770 @ SV120 )
= ( c_List_Olistsum @ ( c_List_Omap @ SY1768 @ SY1769 @ SY1770 @ SV120 ) @ SV120 ) )
| ~ ( c_List_Odistinct @ SY1769 @ SY1770 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1537,plain,
! [SV121: $i] :
( ( ! [SY1771: $i] :
( ( ( c_List_Oappend @ ( c_List_Obutlast @ SV121 @ SY1771 ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ SV121 @ SY1771 ) @ ( c_List_Olist_ONil @ SY1771 ) @ SY1771 ) @ SY1771 )
= SV121 )
| ( SV121
= ( c_List_Olist_ONil @ SY1771 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1034]) ).
thf(1538,plain,
! [SV122: $i] :
( ( ! [SY1772: $i,SY1773: $i] :
( ( hAPP @ ( c_List_Orev @ SV122 ) @ ( c_List_Otake @ SY1772 @ SY1773 @ SV122 ) )
= ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY1773 @ ( tc_List_Olist @ SV122 ) ) @ SY1772 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV122 ) @ SY1773 ) @ SV122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1539,plain,
! [SV123: $i] :
( ( ! [SY1774: $i,SY1775: $i] :
( ( hAPP @ ( c_List_Orev @ SV123 ) @ ( c_List_Odrop @ SY1774 @ SY1775 @ SV123 ) )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY1775 @ ( tc_List_Olist @ SV123 ) ) @ SY1774 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV123 ) @ SY1775 ) @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1540,plain,
! [SV124: $i] :
( ( ! [SY1776: $i,SY1777: $i] :
( ( ( c_Event_Oknows @ SV124 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV124 @ SY1776 ) @ SY1777 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY1776 @ ( c_Event_Oknows @ SV124 @ SY1777 ) @ tc_Message_Omsg ) )
| ( SV124 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1037]) ).
thf(1541,plain,
! [SV125: $i] :
( ( ! [SY1778: $i,SY1779: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV125 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY1778 @ SY1779 ) @ SV125 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1542,plain,
! [SV126: $i] :
( ( ! [SY1780: $i,SY1781: $i,SY1782: $i,SY1783: $i] :
( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SY1780 @ SY1781 @ SY1782 @ SY1783 @ t_a ) ) )
| ( SY1783 = c_Message_Oagent_OSpy )
| ( SY1783
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SY1781 @ SY1783 ) ) )
| ( SY1783 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1039]) ).
thf(1543,plain,
! [SV127: $i] :
( ( ! [SY1784: $i,SY1785: $i,SY1786: $i,SY1787: $i,SY1788: $i,SY1789: $i,SY1790: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SY1784 @ SY1785 @ SY1786 @ SY1787 )
= ( c_Message_Oagent_Oagent__case @ SY1788 @ SY1789 @ SY1790 @ SY1786 @ SY1787 ) )
| ( SY1786 = c_Message_Oagent_OSpy )
| ( SY1786
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1786 @ SY1784 @ SY1789 @ SY1787 ) ) )
| ( SY1786 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1544,plain,
! [SV128: $i] :
( ( ! [SY1791: $i,SY1792: $i,SY1793: $i,SY1794: $i] :
( ( hBOOL @ ( hAPP @ SV128 @ ( c_Message_Oagent_Oagent__case @ SY1791 @ SY1792 @ SY1793 @ SY1794 @ t_a ) ) )
| ( SY1794 = c_Message_Oagent_OSpy )
| ( SY1794
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV128 @ SY1792 @ SY1794 ) ) )
| ( SY1794 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1041]) ).
thf(1545,plain,
! [SV129: $i] :
( ( ! [SY1795: $i,SY1796: $i] :
( ( c_List_Orotate @ SV129 @ SY1795 @ SY1796 )
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Divides_Odiv__class_Omod @ SV129 @ ( c_Nat_Osize__class_Osize @ SY1795 @ ( tc_List_Olist @ SY1796 ) ) @ tc_nat ) @ SY1795 @ SY1796 ) @ ( c_List_Otake @ ( c_Divides_Odiv__class_Omod @ SV129 @ ( c_Nat_Osize__class_Osize @ SY1795 @ ( tc_List_Olist @ SY1796 ) ) @ tc_nat ) @ SY1795 @ SY1796 ) @ SY1796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1042]) ).
thf(1546,plain,
! [SV130: $i] :
( ( ! [SY1797: $i] :
( ( ( c_List_Orotate1 @ SV130 @ SY1797 )
= ( c_List_Oappend @ ( c_List_Otl @ SV130 @ SY1797 ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV130 @ SY1797 ) @ ( c_List_Olist_ONil @ SY1797 ) @ SY1797 ) @ SY1797 ) )
| ( SV130
= ( c_List_Olist_ONil @ SY1797 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1043]) ).
thf(1547,plain,
! [SV131: $i] :
( ( ! [SY1798: $i,SY1799: $i] :
( ~ ( class_Orderings_Olinorder @ SV131 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SY1798 @ SY1799 @ SV131 ) @ SV131 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1799 @ SV131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1548,plain,
! [SV132: $i] :
( ( ! [SY1800: $i,SY1801: $i,SY1802: $i,SY1803: $i] :
( ( c_List_Otake @ SV132 @ ( c_List_Omap @ SY1800 @ SY1801 @ SY1802 @ SY1803 ) @ SY1803 )
= ( c_List_Omap @ SY1800 @ ( c_List_Otake @ SV132 @ SY1801 @ SY1802 ) @ SY1802 @ SY1803 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1549,plain,
! [SV133: $i] :
( ( ! [SY1804: $i,SY1805: $i] :
( ( c_List_Oremdups @ ( c_List_Ofilter @ SV133 @ SY1804 @ SY1805 ) @ SY1805 )
= ( c_List_Ofilter @ SV133 @ ( c_List_Oremdups @ SY1804 @ SY1805 ) @ SY1805 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1046]) ).
thf(1550,plain,
! [SV134: $i] :
( ( ! [SY1806: $i,SY1807: $i,SY1808: $i,SY1809: $i,SY1810: $i] :
( ( c_List_Olist__all2 @ SV134 @ ( c_List_Otake @ SY1806 @ SY1807 @ SY1808 ) @ ( c_List_Otake @ SY1806 @ SY1809 @ SY1810 ) @ SY1808 @ SY1810 )
| ~ ( c_List_Olist__all2 @ SV134 @ SY1807 @ SY1809 @ SY1808 @ SY1810 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1551,plain,
! [SV135: $i] :
( ( ! [SY1811: $i,SY1812: $i,SY1813: $i] :
( ( c_Fun_Oinj__on @ SV135 @ ( c_List_Oset @ SY1811 @ SY1812 ) @ SY1812 @ SY1813 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SV135 @ SY1811 @ SY1812 @ SY1813 ) @ SY1813 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1552,plain,
! [SV136: $i] :
( ( ! [SY1814: $i,SY1815: $i] :
( ( SV136 = SY1814 )
| ~ ( c_List_Olist__all2 @ ( c_fequal @ SY1815 ) @ SV136 @ SY1814 @ SY1815 @ SY1815 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1051]) ).
thf(1553,plain,
! [SV137: $i] :
( ( ! [SY1816: $i,SY1817: $i,SY1818: $i,SY1819: $i,SY1820: $i] :
( ( c_List_Ofoldl @ SV137 @ SY1816 @ ( c_List_Olist_OCons @ SY1817 @ SY1818 @ SY1819 ) @ SY1820 @ SY1819 )
= ( c_List_Ofoldl @ SV137 @ ( hAPP @ ( hAPP @ SV137 @ SY1816 ) @ SY1817 ) @ SY1818 @ SY1820 @ SY1819 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1052]) ).
thf(1554,plain,
! [SV138: $i] :
( ( ! [SY1821: $i,SY1822: $i,SY1823: $i] :
( ~ ( class_Orderings_Olinorder @ SV138 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1821 @ SY1822 @ SV138 ) @ SV138 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1823 @ ( c_List_Olist_OCons @ SY1821 @ SY1822 @ SV138 ) @ SV138 ) @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1054]) ).
thf(1555,plain,
! [SV139: $i] :
( ( ! [SY1824: $i,SY1825: $i,SY1826: $i,SY1827: $i,SY1828: $i,SY1829: $i] :
( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SY1824 @ SY1825 @ SY1826 ) @ ( c_List_Oappend @ SY1827 @ SY1828 @ SY1829 ) @ SY1826 @ SY1829 )
| ~ ( c_List_Olist__all2 @ SV139 @ SY1825 @ SY1828 @ SY1826 @ SY1829 )
| ~ ( c_List_Olist__all2 @ SV139 @ SY1824 @ SY1827 @ SY1826 @ SY1829 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1055]) ).
thf(1556,plain,
! [SV140: $i] :
( ( ! [SY1830: $i,SY1831: $i,SY1832: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV140 @ SY1830 @ SY1831 ) @ SY1832 @ SY1831 )
= ( c_List_Olist_OCons @ SV140 @ ( c_List_Oappend @ SY1830 @ SY1832 @ SY1831 ) @ SY1831 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1058]) ).
thf(1557,plain,
! [SV141: $i] :
( ( ! [SY1833: $i,SY1834: $i,SY1835: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV141 @ SY1833 @ SY1834 ) @ SY1835 @ SY1834 )
= ( c_List_Olist_OCons @ SV141 @ ( c_List_Oappend @ SY1833 @ SY1835 @ SY1834 ) @ SY1834 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1059]) ).
thf(1558,plain,
! [SV142: $i] :
( ( ! [SY1836: $i,SY1837: $i] :
( ~ ( hBOOL @ ( hAPP @ SV142 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV142 @ SY1836 @ SY1837 ) @ SY1837 ) ) )
| ( ( c_List_OdropWhile @ SV142 @ SY1836 @ SY1837 )
= ( c_List_Olist_ONil @ SY1837 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1060]) ).
thf(1559,plain,
! [SV143: $i] :
( ( ! [SY1838: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV143 @ SY1838 ) @ SY1838 )
| ~ ( c_List_Odistinct @ SV143 @ SY1838 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1061]) ).
thf(1560,plain,
! [SV144: $i] :
( ( ! [SY1839: $i] :
( ( c_List_Odistinct @ SV144 @ SY1839 )
| ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ SV144 @ SY1839 ) @ SY1839 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1062]) ).
thf(1561,plain,
! [SV145: $i] :
( ( ! [SY1840: $i,SY1841: $i] :
( SV145
= ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY1840 @ ( tc_List_Olist @ SY1841 ) ) @ ( c_List_Oappend @ SY1840 @ SV145 @ SY1841 ) @ SY1841 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1063]) ).
thf(1562,plain,
! [SV146: $i] :
( ( ! [SY1842: $i,SY1843: $i] :
( ( c_List_Odistinct @ ( c_List_Ofilter @ SV146 @ SY1842 @ SY1843 ) @ SY1843 )
| ~ ( c_List_Odistinct @ SY1842 @ SY1843 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1064]) ).
thf(1563,plain,
! [SV147: $i] :
( ( ! [SY1844: $i,SY1845: $i,SY1846: $i,SY1847: $i] :
( ( c_List_Omap @ SV147 @ ( c_List_Olist_OCons @ SY1844 @ SY1845 @ SY1846 ) @ SY1846 @ SY1847 )
= ( c_List_Olist_OCons @ ( hAPP @ SV147 @ SY1844 ) @ ( c_List_Omap @ SV147 @ SY1845 @ SY1846 @ SY1847 ) @ SY1847 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1065]) ).
thf(1564,plain,
! [SV148: $i] :
( ( ! [SY1848: $i,SY1849: $i,SY1850: $i,SY1851: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ SV148 @ SY1848 ) @ ( c_List_Omap @ SV148 @ SY1849 @ SY1850 @ SY1851 ) @ SY1851 )
= ( c_List_Omap @ SV148 @ ( c_List_Olist_OCons @ SY1848 @ SY1849 @ SY1850 ) @ SY1850 @ SY1851 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1066]) ).
thf(1565,plain,
! [SV149: $i] :
( ( ! [SY1852: $i,SY1853: $i,SY1854: $i,SY1855: $i] :
( ( c_List_Omap @ SV149 @ ( c_List_Olist_OCons @ SY1852 @ SY1853 @ SY1854 ) @ SY1854 @ SY1855 )
= ( c_List_Olist_OCons @ ( hAPP @ SV149 @ SY1852 ) @ ( c_List_Omap @ SV149 @ SY1853 @ SY1854 @ SY1855 ) @ SY1855 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1566,plain,
! [SV150: $i] :
( ( ! [SY1856: $i,SY1857: $i,SY1858: $i,SY1859: $i,SY1860: $i] :
( ( c_List_Olist_Olist__case @ SV150 @ SY1856 @ ( c_List_Olist_OCons @ SY1857 @ SY1858 @ SY1859 ) @ SY1860 @ SY1859 )
= ( hAPP @ ( hAPP @ SY1856 @ SY1857 ) @ SY1858 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1567,plain,
! [SV151: $i] :
( ( ! [SY1861: $i,SY1862: $i] :
( ( c_List_Oremove1 @ SV151 @ ( c_List_Olist_OCons @ SV151 @ SY1861 @ SY1862 ) @ SY1862 )
= SY1861 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1568,plain,
! [SV152: $i] :
( ( ! [SY1863: $i,SY1864: $i,SY1865: $i,SY1866: $i,SY1867: $i,SY1868: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV152 @ SY1863 ) @ SY1864 ) )
| ~ ( c_List_Olist__all2 @ SV152 @ ( c_List_Olist_OCons @ SY1863 @ SY1865 @ SY1866 ) @ ( c_List_Olist_OCons @ SY1864 @ SY1867 @ SY1868 ) @ SY1866 @ SY1868 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1071]) ).
thf(1569,plain,
! [SV153: $i] :
( ( ! [SY1869: $i,SY1870: $i,SY1871: $i] :
( ( c_List_Olist_OCons @ SV153 @ ( c_List_Oappend @ SY1869 @ SY1870 @ SY1871 ) @ SY1871 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV153 @ SY1869 @ SY1871 ) @ SY1870 @ SY1871 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1570,plain,
! [SV154: $i] :
( ( ! [SY1872: $i,SY1873: $i,SY1874: $i] :
( ( c_List_Olist_OCons @ SV154 @ ( c_List_Oappend @ SY1872 @ SY1873 @ SY1874 ) @ SY1874 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV154 @ SY1872 @ SY1874 ) @ SY1873 @ SY1874 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1571,plain,
! [SV155: $i] :
( ( ! [SY1875: $i,SY1876: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV155 @ SY1875 @ SY1876 ) @ SY1876 )
= ( c_List_Olast @ SY1875 @ SY1876 ) )
| ( SY1875
= ( c_List_Olist_ONil @ SY1876 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1572,plain,
! [SV156: $i] :
( ( ! [SY1877: $i,SY1878: $i,SY1879: $i] :
( ( c_Message_Oagent_Oagent__case @ SV156 @ SY1877 @ SY1878 @ c_Message_Oagent_OServer @ SY1879 )
= SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1573,plain,
! [SV157: $i] :
( ( ! [SY1880: $i,SY1881: $i,SY1882: $i] :
( ( c_List_Odistinct @ ( c_List_Omap @ SV157 @ SY1880 @ SY1881 @ SY1882 ) @ SY1882 )
| ~ ( c_Fun_Oinj__on @ SV157 @ ( c_List_Oset @ SY1880 @ SY1881 ) @ SY1881 @ SY1882 )
| ~ ( c_List_Odistinct @ SY1880 @ SY1881 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1574,plain,
! [SV158: $i] :
( ( ! [SY1883: $i,SY1884: $i] :
( ( c_List_Oappend @ ( c_List_Otake @ SV158 @ SY1883 @ SY1884 ) @ ( c_List_Odrop @ SV158 @ SY1883 @ SY1884 ) @ SY1884 )
= SY1883 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1077]) ).
thf(1575,plain,
! [SV159: $i] :
( ( ! [SY1885: $i,SY1886: $i] :
( ~ ( class_Orderings_Olinorder @ SV159 )
| ( c_List_Olinorder__class_Osorted @ SY1885 @ SV159 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1886 @ SY1885 @ SV159 ) @ SV159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1576,plain,
! [SV160: $i] :
( ( ! [SY1887: $i,SY1888: $i] :
( ( c_List_Odistinct @ ( c_List_Odrop @ SV160 @ SY1887 @ SY1888 ) @ SY1888 )
| ~ ( c_List_Odistinct @ SY1887 @ SY1888 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1577,plain,
! [SV161: $i] :
( ( ! [SY1889: $i,SY1890: $i,SY1891: $i] :
( ( c_List_Olist__all @ SV161 @ SY1889 @ SY1890 )
| ~ ( c_List_Olist__all @ SV161 @ ( c_List_Olist_OCons @ SY1891 @ SY1889 @ SY1890 ) @ SY1890 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1578,plain,
! [SV162: $i] :
( ( ! [SY1892: $i] :
( ( ( c_List_Oremdups @ SV162 @ SY1892 )
= SV162 )
| ~ ( c_List_Odistinct @ SV162 @ SY1892 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1082]) ).
thf(1579,plain,
! [SV163: $i] :
( ( ! [SY1893: $i,SY1894: $i,SY1895: $i] :
( ( hBOOL @ ( hAPP @ SV163 @ SY1893 ) )
| ~ ( c_List_Olist__all @ SV163 @ ( c_List_Olist_OCons @ SY1893 @ SY1894 @ SY1895 ) @ SY1895 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1580,plain,
! [SV164: $i] :
( ( ! [SY1896: $i,SY1897: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ SV164 @ SY1896 @ SY1897 ) @ SY1897 )
= ( c_List_Ohd @ SV164 @ SY1897 ) )
| ( SV164
= ( c_List_Olist_ONil @ SY1897 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1581,plain,
! [SV165: $i] :
( ( ! [SY1898: $i,SY1899: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ SV165 @ SY1898 @ SY1899 ) @ SY1899 )
= ( c_List_Oappend @ SY1898 @ ( c_List_Olist_OCons @ SV165 @ ( c_List_Olist_ONil @ SY1899 ) @ SY1899 ) @ SY1899 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1582,plain,
! [SV166: $i] :
( ( ! [SY1900: $i,SY1901: $i,SY1902: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ SV166 @ SY1900 @ SY1901 @ SY1902 ) @ ( tc_List_Olist @ SY1902 ) )
= ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SY1902 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1089]) ).
thf(1583,plain,
! [SV167: $i] :
( ( ! [SY1903: $i,SY1904: $i] :
( ( c_List_Olist_OCons @ SV167 @ SY1903 @ SY1904 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY1904 ) @ ( c_List_Olist_OCons @ SV167 @ SY1903 @ SY1904 ) @ SY1904 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1584,plain,
! [SV168: $i] :
( ( ! [SY1905: $i,SY1906: $i,SY1907: $i,SY1908: $i,SY1909: $i] :
( ( c_List_Omap @ SV168 @ ( c_List_Olist__update @ SY1905 @ SY1906 @ SY1907 @ SY1908 ) @ SY1908 @ SY1909 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV168 @ SY1905 @ SY1908 @ SY1909 ) @ SY1906 @ ( hAPP @ SV168 @ SY1907 ) @ SY1909 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1585,plain,
! [SV169: $i] :
( ( ! [SY1910: $i,SY1911: $i,SY1912: $i,SY1913: $i] :
( ( c_Message_Oagent_Oagent__case @ SV169 @ SY1910 @ SY1911 @ ( c_Message_Oagent_OFriend @ SY1912 ) @ SY1913 )
= ( hAPP @ SY1910 @ SY1912 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1092]) ).
thf(1586,plain,
! [SV170: $i] :
( ( ! [SY1914: $i,SY1915: $i,SY1916: $i] :
( ( c_List_Olist__all @ SV170 @ ( c_List_Oappend @ SY1914 @ SY1915 @ SY1916 ) @ SY1916 )
| ~ ( c_List_Olist__all @ SV170 @ SY1915 @ SY1916 )
| ~ ( c_List_Olist__all @ SV170 @ SY1914 @ SY1916 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1587,plain,
! [SV171: $i] :
( ( ! [SY1917: $i] :
( ~ ( class_Orderings_Olinorder @ SV171 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1917 @ ( c_List_Olist_ONil @ SV171 ) @ SV171 ) @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1588,plain,
! [SV172: $i] :
( ( ! [SY1918: $i,SY1919: $i] :
( ( c_List_Odistinct @ ( c_List_Otake @ SV172 @ SY1918 @ SY1919 ) @ SY1919 )
| ~ ( c_List_Odistinct @ SY1918 @ SY1919 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1589,plain,
! [SV173: $i] :
( ( ! [SY1920: $i,SY1921: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV173 @ SY1920 @ SY1921 ) @ ( c_List_Olist_OCons @ SY1920 @ ( c_List_Olist_ONil @ SY1921 ) @ SY1921 ) @ SY1921 )
= ( c_List_Olist_OCons @ SY1920 @ ( c_List_Oreplicate @ SV173 @ SY1920 @ SY1921 ) @ SY1921 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1590,plain,
! [SV174: $i] :
( ( ! [SY1922: $i,SY1923: $i,SY1924: $i,SY1925: $i,SY1926: $i] :
( ( c_List_Ofoldl @ SV174 @ SY1922 @ ( c_List_Oappend @ SY1923 @ SY1924 @ SY1925 ) @ SY1926 @ SY1925 )
= ( c_List_Ofoldl @ SV174 @ ( c_List_Ofoldl @ SV174 @ SY1922 @ SY1923 @ SY1926 @ SY1925 ) @ SY1924 @ SY1926 @ SY1925 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1591,plain,
! [SV175: $i] :
( ( ! [SY1927: $i,SY1928: $i] :
( ( c_List_Odistinct @ SV175 @ SY1927 )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SY1928 @ SV175 @ SY1927 ) @ SY1927 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1592,plain,
! [SV176: $i] :
( ( ! [SY1929: $i,SY1930: $i,SY1931: $i] :
( ( c_List_Ofilter @ SV176 @ ( c_List_Oappend @ SY1929 @ SY1930 @ SY1931 ) @ SY1931 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV176 @ SY1929 @ SY1931 ) @ ( c_List_Ofilter @ SV176 @ SY1930 @ SY1931 ) @ SY1931 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1099]) ).
thf(1593,plain,
! [SV177: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV177 ) @ ( c_List_Olist_ONil @ SV177 ) @ SV177 )
= ( c_List_Olist_ONil @ SV177 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1101]) ).
thf(1594,plain,
! [SV178: $i] :
( ( ! [SY1932: $i,SY1933: $i] : ( c_List_Olist__all2 @ SV178 @ ( c_List_Olist_ONil @ SY1932 ) @ ( c_List_Olist_ONil @ SY1933 ) @ SY1932 @ SY1933 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1595,plain,
! [SV179: $i] :
( ( ! [SY1934: $i] :
( ( SV179
= ( c_List_Olist_ONil @ SY1934 ) )
| ~ ( c_List_Onull @ SV179 @ SY1934 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1596,plain,
! [SV180: $i] :
( ( ( c_List_Olist_ONil @ SV180 )
= ( c_List_Oremdups @ ( c_List_Olist_ONil @ SV180 ) @ SV180 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1597,plain,
! [SV181: $i] :
( ( ! [SY1935: $i,SY1936: $i,SY1937: $i] :
( ( SV181
= ( c_List_Olist_ONil @ SY1935 ) )
| ~ ( c_List_Olist__all2 @ SY1936 @ SV181 @ ( c_List_Olist_ONil @ SY1937 ) @ SY1935 @ SY1937 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1598,plain,
! [SV182: $i] :
( ( ! [SY1938: $i,SY1939: $i,SY1940: $i] :
( ( SV182
= ( c_List_Olist_ONil @ SY1938 ) )
| ~ ( c_List_Olist__all2 @ SY1939 @ ( c_List_Olist_ONil @ SY1940 ) @ SV182 @ SY1940 @ SY1938 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1599,plain,
! [SV183: $i] :
( ( c_List_Odistinct @ ( c_List_Olist_ONil @ SV183 ) @ SV183 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1600,plain,
! [SV184: $i] :
( ( ! [SY1941: $i,SY1942: $i,SY1943: $i] :
( ( ( c_List_Ofilter @ SV184 @ ( c_List_Olist_OCons @ SY1941 @ SY1942 @ SY1943 ) @ SY1943 )
= ( c_List_Olist_OCons @ SY1941 @ ( c_List_Ofilter @ SV184 @ SY1942 @ SY1943 ) @ SY1943 ) )
| ~ ( hBOOL @ ( hAPP @ SV184 @ SY1941 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1601,plain,
! [SV185: $i] :
( ( ! [SY1944: $i,SY1945: $i,SY1946: $i] :
( ( c_List_Olistsp @ SV185 @ SY1944 @ SY1945 )
| ~ ( c_List_Olistsp @ SV185 @ ( c_List_Oappend @ SY1944 @ SY1946 @ SY1945 ) @ SY1945 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1602,plain,
! [SV186: $i] :
( ( ! [SY1947: $i,SY1948: $i,SY1949: $i] :
( ( c_List_Olistsp @ SV186 @ SY1947 @ SY1948 )
| ~ ( c_List_Olistsp @ SV186 @ ( c_List_Oappend @ SY1949 @ SY1947 @ SY1948 ) @ SY1948 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1603,plain,
! [SV187: $i] :
( ( ! [SY1950: $i,SY1951: $i] :
( ~ ( class_Orderings_Olinorder @ SV187 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SY1950 @ SY1951 @ SV187 ) @ SV187 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1951 @ SV187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1604,plain,
! [SV188: $i] :
( ( ! [SY1952: $i,SY1953: $i,SY1954: $i,SY1955: $i,SY1956: $i,SY1957: $i] :
( ( c_List_Olist__all2 @ SV188 @ SY1952 @ SY1953 @ SY1954 @ SY1955 )
| ~ ( c_List_Olist__all2 @ SV188 @ ( c_List_Olist_OCons @ SY1956 @ SY1952 @ SY1954 ) @ ( c_List_Olist_OCons @ SY1957 @ SY1953 @ SY1955 ) @ SY1954 @ SY1955 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1605,plain,
! [SV189: $i] :
( ( ! [SY1958: $i,SY1959: $i,SY1960: $i,SY1961: $i] :
( ( c_List_Orotate @ SV189 @ ( c_List_Omap @ SY1958 @ SY1959 @ SY1960 @ SY1961 ) @ SY1961 )
= ( c_List_Omap @ SY1958 @ ( c_List_Orotate @ SV189 @ SY1959 @ SY1960 ) @ SY1960 @ SY1961 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1129]) ).
thf(1606,plain,
! [SV190: $i] :
( ( ! [SY1962: $i,SY1963: $i] :
( ( c_List_Odistinct @ SV190 @ SY1962 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV190 @ SY1963 @ SY1962 ) @ SY1962 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1130]) ).
thf(1607,plain,
! [SV191: $i] :
( ( ! [SY1964: $i,SY1965: $i] :
( ( c_List_Odistinct @ SV191 @ SY1964 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SY1965 @ SV191 @ SY1964 ) @ SY1964 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1608,plain,
! [SV192: $i] :
( ( ! [SY1966: $i,SY1967: $i] :
( SV192
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV192 @ ( tc_List_Olist @ SY1966 ) ) @ ( c_List_Oappend @ SV192 @ SY1967 @ SY1966 ) @ SY1966 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1609,plain,
! [SV193: $i] :
( ( ! [SY1968: $i,SY1969: $i,SY1970: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ SV193 @ SY1968 @ SY1969 @ SY1970 ) @ ( tc_List_Olist @ SY1970 ) )
= ( c_Nat_Osize__class_Osize @ SY1968 @ ( tc_List_Olist @ SY1969 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1135]) ).
thf(1610,plain,
! [SV194: $i] :
( ( ! [SY1971: $i,SY1972: $i] :
( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV194 @ SY1971 @ SY1972 ) @ SY1972 )
| ~ ( c_List_Odistinct @ SY1971 @ SY1972 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1611,plain,
! [SV195: $i] :
( ( ! [SY1973: $i,SY1974: $i,SY1975: $i,SY1976: $i] :
( ( c_List_Omap @ SV195 @ ( c_List_Oreplicate @ SY1973 @ SY1974 @ SY1975 ) @ SY1975 @ SY1976 )
= ( c_List_Oreplicate @ SY1973 @ ( hAPP @ SV195 @ SY1974 ) @ SY1976 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1137]) ).
thf(1612,plain,
! [SV196: $i] :
( ( ! [SY1977: $i,SY1978: $i,SY1979: $i,SY1980: $i,SY1981: $i] :
( ( c_List_Ofoldr @ SV196 @ ( c_List_Oappend @ SY1977 @ SY1978 @ SY1979 ) @ SY1980 @ SY1979 @ SY1981 )
= ( c_List_Ofoldr @ SV196 @ SY1977 @ ( c_List_Ofoldr @ SV196 @ SY1978 @ SY1980 @ SY1979 @ SY1981 ) @ SY1979 @ SY1981 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1613,plain,
! [SV197: $i] :
( ( ! [SY1982: $i,SY1983: $i,SY1984: $i] :
( ( c_List_Olist__ex @ SV197 @ ( c_List_Olist_OCons @ SY1982 @ SY1983 @ SY1984 ) @ SY1984 )
| ~ ( hBOOL @ ( hAPP @ SV197 @ SY1982 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1614,plain,
! [SV198: $i] :
( ( ! [SY1985: $i,SY1986: $i,SY1987: $i,SY1988: $i,SY1989: $i,SY1990: $i] :
( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SY1985 @ SY1986 @ SY1987 ) @ ( c_List_Olist_OCons @ SY1988 @ SY1989 @ SY1990 ) @ SY1987 @ SY1990 )
| ~ ( c_List_Olist__all2 @ SV198 @ SY1986 @ SY1989 @ SY1987 @ SY1990 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SY1985 ) @ SY1988 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1615,plain,
! [SV199: $i] :
( ( ! [SY1991: $i,SY1992: $i,SY1993: $i,SY1994: $i,SY1995: $i,SY1996: $i] :
( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SY1991 @ SY1992 @ SY1993 ) @ ( c_List_Olist_OCons @ SY1994 @ SY1995 @ SY1996 ) @ SY1993 @ SY1996 )
| ~ ( c_List_Olist__all2 @ SV199 @ SY1992 @ SY1995 @ SY1993 @ SY1996 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SY1991 ) @ SY1994 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1616,plain,
! [SV200: $i] :
( ( ! [SY1997: $i,SY1998: $i,SY1999: $i,SY2000: $i,SY2001: $i,SY2002: $i] :
( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SY1997 @ SY1998 @ SY1999 ) @ ( c_List_Olist_OCons @ SY2000 @ SY2001 @ SY2002 ) @ SY1999 @ SY2002 )
| ~ ( c_List_Olist__all2 @ SV200 @ SY1998 @ SY2001 @ SY1999 @ SY2002 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SY1997 ) @ SY2000 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1617,plain,
! [SV201: $i] :
( ( ! [SY2003: $i,SY2004: $i,SY2005: $i] :
( ( c_List_Olist__ex @ SV201 @ ( c_List_Olist_OCons @ SY2003 @ SY2004 @ SY2005 ) @ SY2005 )
| ~ ( c_List_Olist__ex @ SV201 @ SY2004 @ SY2005 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1618,plain,
! [SV202: $i] :
( ( ! [SY2006: $i,SY2007: $i,SY2008: $i] :
( ( c_List_Olist__ex @ SV202 @ SY2006 @ SY2007 )
| ( hBOOL @ ( hAPP @ SV202 @ SY2008 ) )
| ~ ( c_List_Olist__ex @ SV202 @ ( c_List_Olist_OCons @ SY2008 @ SY2006 @ SY2007 ) @ SY2007 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1619,plain,
! [SV203: $i] :
( ( ! [SY2009: $i,SY2010: $i,SY2011: $i,SY2012: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV203 @ ( tc_List_Olist @ SY2009 ) )
= ( c_Nat_Osize__class_Osize @ SY2010 @ ( tc_List_Olist @ SY2011 ) ) )
| ~ ( c_List_Olist__all2 @ SY2012 @ SV203 @ SY2010 @ SY2009 @ SY2011 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1620,plain,
! [SV204: $i] :
( ( ! [SY2013: $i,SY2014: $i,SY2015: $i] :
( ( ( c_List_Ofilter @ SV204 @ ( c_List_Oreplicate @ SY2013 @ SY2014 @ SY2015 ) @ SY2015 )
= ( c_List_Oreplicate @ SY2013 @ SY2014 @ SY2015 ) )
| ~ ( hBOOL @ ( hAPP @ SV204 @ SY2014 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1621,plain,
! [SV205: $i] :
( ( ! [SY2016: $i,SY2017: $i,SY2018: $i,SY2019: $i,SY2020: $i] :
( ( c_List_Olistrelp @ SV205 @ ( c_List_Olist_OCons @ SY2016 @ SY2017 @ SY2018 ) @ ( c_List_Olist_OCons @ SY2019 @ SY2020 @ SY2018 ) @ SY2018 )
| ~ ( c_List_Olistrelp @ SV205 @ SY2017 @ SY2020 @ SY2018 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV205 @ SY2016 ) @ SY2019 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1622,plain,
! [SV206: $i] :
( ( ! [SY2021: $i,SY2022: $i,SY2023: $i] :
( ( ( c_List_Oremove1 @ SV206 @ ( c_List_Olist_OCons @ SY2021 @ SY2022 @ SY2023 ) @ SY2023 )
= ( c_List_Olist_OCons @ SY2021 @ ( c_List_Oremove1 @ SV206 @ SY2022 @ SY2023 ) @ SY2023 ) )
| ( SV206 = SY2021 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1623,plain,
! [SV207: $i] :
( ( ! [SY2024: $i,SY2025: $i] :
( ( c_List_Odistinct @ ( c_List_Osublist @ SV207 @ SY2024 @ SY2025 ) @ SY2025 )
| ~ ( c_List_Odistinct @ SV207 @ SY2025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1624,plain,
! [SV208: $i] :
( ( ! [SY2026: $i,SY2027: $i] :
( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV208 @ SY2026 @ SY2027 ) @ SY2027 )
| ~ ( c_List_Odistinct @ SY2026 @ SY2027 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1625,plain,
! [SV209: $i] :
( ( ! [SY2028: $i,SY2029: $i,SY2030: $i] :
( ( ( c_List_OdropWhile @ SV209 @ ( c_List_Olist_OCons @ SY2028 @ SY2029 @ SY2030 ) @ SY2030 )
= ( c_List_OdropWhile @ SV209 @ SY2029 @ SY2030 ) )
| ~ ( hBOOL @ ( hAPP @ SV209 @ SY2028 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1626,plain,
! [SV210: $i] :
( ( ! [SY2031: $i,SY2032: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate @ SV210 @ SY2031 @ SY2032 ) @ ( tc_List_Olist @ SY2032 ) )
= ( c_Nat_Osize__class_Osize @ SY2031 @ ( tc_List_Olist @ SY2032 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1161]) ).
thf(1627,plain,
! [SV211: $i] :
( ( ! [SY2033: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate1 @ SV211 @ SY2033 ) @ ( tc_List_Olist @ SY2033 ) )
= ( c_Nat_Osize__class_Osize @ SV211 @ ( tc_List_Olist @ SY2033 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1162]) ).
thf(1628,plain,
! [SV212: $i] :
( ( ! [SY2034: $i,SY2035: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV212 @ SY2034 @ SY2035 ) @ SY2035 )
= ( c_List_Olast @ SY2034 @ SY2035 ) )
| ( SY2034
= ( c_List_Olist_ONil @ SY2035 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1629,plain,
! [SV213: $i] :
( ( ! [SY2036: $i,SY2037: $i,SY2038: $i] :
( ( ( c_List_OdropWhile @ SV213 @ ( c_List_Olist_OCons @ SY2036 @ SY2037 @ SY2038 ) @ SY2038 )
= ( c_List_Olist_OCons @ SY2036 @ SY2037 @ SY2038 ) )
| ( hBOOL @ ( hAPP @ SV213 @ SY2036 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1630,plain,
! [SV214: $i] :
( ( ! [SY2039: $i,SY2040: $i,SY2041: $i,SY2042: $i] :
( ( c_List_Omap @ SV214 @ ( c_List_Oappend @ SY2039 @ SY2040 @ SY2041 ) @ SY2041 @ SY2042 )
= ( c_List_Oappend @ ( c_List_Omap @ SV214 @ SY2039 @ SY2041 @ SY2042 ) @ ( c_List_Omap @ SV214 @ SY2040 @ SY2041 @ SY2042 ) @ SY2042 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1165]) ).
thf(1631,plain,
! [SV215: $i] :
( ( ! [SY2043: $i,SY2044: $i,SY2045: $i] :
( ~ ( hBOOL @ ( hAPP @ SV215 @ ( c_Message_Oagent_Oagent__case @ SY2043 @ SY2044 @ SY2045 @ c_Message_Oagent_OServer @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV215 @ SY2043 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1166]) ).
thf(1632,plain,
! [SV216: $i] :
( ( ! [SY2046: $i,SY2047: $i,SY2048: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV216 @ SY2046 @ SY2047 ) @ ( c_List_Oreplicate @ SY2048 @ SY2046 @ SY2047 ) @ SY2047 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SY2048 @ SY2046 @ SY2047 ) @ ( c_List_Oreplicate @ SV216 @ SY2046 @ SY2047 ) @ SY2047 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1633,plain,
! [SV217: $i] :
( ( ! [SY2049: $i,SY2050: $i,SY2051: $i,SY2052: $i,SY2053: $i] :
( ( c_List_Olist__all2 @ SV217 @ ( c_List_Odrop @ SY2049 @ SY2050 @ SY2051 ) @ ( c_List_Odrop @ SY2049 @ SY2052 @ SY2053 ) @ SY2051 @ SY2053 )
| ~ ( c_List_Olist__all2 @ SV217 @ SY2050 @ SY2052 @ SY2051 @ SY2053 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1634,plain,
! [SV218: $i] :
( ( ! [SY2054: $i] :
( ( c_List_Oset @ ( c_List_Orotate1 @ SV218 @ SY2054 ) @ SY2054 )
= ( c_List_Oset @ SV218 @ SY2054 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1635,plain,
! [SV219: $i] :
( ( ! [SY2055: $i,SY2056: $i,SY2057: $i] :
( ( ( c_List_Oremove1 @ SV219 @ ( c_List_Ofilter @ SY2055 @ SY2056 @ SY2057 ) @ SY2057 )
= ( c_List_Ofilter @ SY2055 @ SY2056 @ SY2057 ) )
| ( hBOOL @ ( hAPP @ SY2055 @ SV219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1636,plain,
! [SV220: $i] :
( ( ! [SY2058: $i,SY2059: $i,SY2060: $i] :
( ( ( c_List_Ofilter @ SV220 @ ( c_List_Oreplicate @ SY2058 @ SY2059 @ SY2060 ) @ SY2060 )
= ( c_List_Olist_ONil @ SY2060 ) )
| ( hBOOL @ ( hAPP @ SV220 @ SY2059 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1637,plain,
! [SV221: $i] :
( ( ! [SY2061: $i,SY2062: $i,SY2063: $i,SY2064: $i,SY2065: $i] :
( ( c_List_Olist_Olist__rec @ SV221 @ SY2061 @ ( c_List_Olist_OCons @ SY2062 @ SY2063 @ SY2064 ) @ SY2065 @ SY2064 )
= ( hAPP @ ( hAPP @ ( hAPP @ SY2061 @ SY2062 ) @ SY2063 ) @ ( c_List_Olist_Olist__rec @ SV221 @ SY2061 @ SY2063 @ SY2065 @ SY2064 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1638,plain,
! [SV222: $i] :
( ( ! [SY2066: $i,SY2067: $i] :
( ( c_List_Oset @ ( c_List_Orotate @ SV222 @ SY2066 @ SY2067 ) @ SY2067 )
= ( c_List_Oset @ SY2066 @ SY2067 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1639,plain,
! [SV223: $i] :
( ( ! [SY2068: $i,SY2069: $i,SY2070: $i] :
( ( c_List_Odistinct @ SV223 @ SY2068 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SY2069 @ SV223 @ SY2068 @ SY2070 ) @ SY2070 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1640,plain,
! [SV224: $i] :
( ( ! [SY2071: $i] :
( ( c_List_Olast @ ( c_List_Olist_OCons @ SV224 @ ( c_List_Olist_ONil @ SY2071 ) @ SY2071 ) @ SY2071 )
= SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1641,plain,
! [SV225: $i] :
( ( ! [SY2072: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ SV225 @ ( c_List_Olist_ONil @ SY2072 ) @ SY2072 ) @ SY2072 )
= ( c_List_Olast @ SV225 @ SY2072 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1642,plain,
! [SV226: $i] :
( ( ! [SY2073: $i,SY2074: $i] :
( ( c_List_Odistinct @ SV226 @ SY2073 )
| ~ ( c_List_Odistinct @ ( c_List_Orotate @ SY2074 @ SV226 @ SY2073 ) @ SY2073 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1643,plain,
! [SV227: $i] :
( ( ! [SY2075: $i,SY2076: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate @ SV227 @ SY2075 @ SY2076 ) @ SY2076 )
| ~ ( c_List_Odistinct @ SY2075 @ SY2076 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1644,plain,
! [SV228: $i] :
( ( ! [SY2077: $i,SY2078: $i,SY2079: $i] :
( ( c_List_Olistsp @ SV228 @ ( c_List_Oappend @ SY2077 @ SY2078 @ SY2079 ) @ SY2079 )
| ~ ( c_List_Olistsp @ SV228 @ SY2078 @ SY2079 )
| ~ ( c_List_Olistsp @ SV228 @ SY2077 @ SY2079 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1645,plain,
! [SV229: $i] :
( ( ! [SY2080: $i,SY2081: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Oreplicate @ SV229 @ SY2080 @ SY2081 ) @ ( tc_List_Olist @ SY2081 ) )
= SV229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1180]) ).
thf(1646,plain,
! [SV230: $i] :
( ( ! [SY2082: $i,SY2083: $i,SY2084: $i,SY2085: $i] :
( ~ ( hBOOL @ ( hAPP @ SV230 @ ( c_Message_Oagent_Oagent__case @ SY2082 @ SY2083 @ SY2084 @ ( c_Message_Oagent_OFriend @ SY2085 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV230 @ ( hAPP @ SY2083 @ SY2085 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1647,plain,
! [SV231: $i] :
( ( ! [SY2086: $i,SY2087: $i,SY2088: $i,SY2089: $i] :
( ~ ( hBOOL @ ( hAPP @ SV231 @ ( c_Message_Oagent_Oagent__case @ SY2086 @ SY2087 @ SY2088 @ ( c_Message_Oagent_OFriend @ SY2089 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV231 @ ( hAPP @ SY2087 @ SY2089 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1648,plain,
! [SV232: $i] :
( ( ! [SY2090: $i,SY2091: $i] :
~ ( c_List_Onull @ ( c_List_Olist_OCons @ SV232 @ SY2090 @ SY2091 ) @ SY2091 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1183]) ).
thf(1649,plain,
! [SV233: $i] :
( ( ! [SY2092: $i,SY2093: $i,SY2094: $i,SY2095: $i,SY2096: $i] :
( ( c_List_Ofoldr @ SV233 @ ( c_List_Olist_OCons @ SY2092 @ SY2093 @ SY2094 ) @ SY2095 @ SY2094 @ SY2096 )
= ( hAPP @ ( hAPP @ SV233 @ SY2092 ) @ ( c_List_Ofoldr @ SV233 @ SY2093 @ SY2095 @ SY2094 @ SY2096 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1650,plain,
! [SV234: $i] :
( ( ! [SY2097: $i,SY2098: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ SV234 @ ( c_List_Olist_OCons @ SY2097 @ ( c_List_Olist_ONil @ SY2098 ) @ SY2098 ) @ SY2098 ) @ SY2098 )
= SY2097 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1185]) ).
thf(1651,plain,
! [SV235: $i] :
( ( ! [SY2099: $i,SY2100: $i,SY2101: $i,SY2102: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV235 @ SY2099 @ SY2100 @ ( c_Message_Oagent_OFriend @ SY2101 ) @ SY2102 )
= ( hAPP @ SY2099 @ SY2101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1186]) ).
thf(1652,plain,
! [SV236: $i] :
( ( ! [SY2103: $i,SY2104: $i,SY2105: $i,SY2106: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ SV236 @ ( c_List_Olist_OCons @ SY2103 @ SY2104 @ SY2105 ) @ SY2105 ) @ ( c_Nat_Osize__class_Osize @ SV236 @ ( tc_List_Olist @ SY2105 ) ) @ SY2106 @ SY2105 )
= ( c_List_Oappend @ SV236 @ ( c_List_Olist_OCons @ SY2106 @ SY2104 @ SY2105 ) @ SY2105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1653,plain,
! [SV237: $i] :
( ( ! [SY2107: $i,SY2108: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV237 ) @ ( c_List_Olist_OCons @ SY2107 @ SY2108 @ SV237 ) @ SV237 )
= ( c_List_Olist_OCons @ SY2107 @ SY2108 @ SV237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1188]) ).
thf(1654,plain,
! [SV238: $i] :
( ( ! [SY2109: $i] : ( c_List_Odistinct @ ( c_List_Oremdups @ SV238 @ SY2109 ) @ SY2109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1189]) ).
thf(1655,plain,
! [SV239: $i] :
( ( ! [SY2110: $i,SY2111: $i] :
( ~ ( class_Orderings_Olinorder @ SV239 )
| ( c_List_Olinorder__class_Osorted @ SY2110 @ SV239 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2110 @ SY2111 @ SV239 ) @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1656,plain,
! [SV240: $i] :
( ( ! [SY2112: $i,SY2113: $i] :
( ~ ( class_Orderings_Olinorder @ SV240 )
| ( c_List_Olinorder__class_Osorted @ SY2112 @ SV240 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2113 @ SY2112 @ SV240 ) @ SV240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1657,plain,
! [SV241: $i] :
( ( ! [SY2114: $i,SY2115: $i,SY2116: $i] :
( ( c_List_Olist__all @ SV241 @ ( c_List_Olist_OCons @ SY2114 @ SY2115 @ SY2116 ) @ SY2116 )
| ~ ( c_List_Olist__all @ SV241 @ SY2115 @ SY2116 )
| ~ ( hBOOL @ ( hAPP @ SV241 @ SY2114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1195]) ).
thf(1658,plain,
! [SV242: $i] :
( ( ! [SY2117: $i,SY2118: $i,SY2119: $i,SY2120: $i,SY2121: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SY2117 @ SY2118 @ SY2119 ) @ SY2120 @ SY2121 @ SY2119 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SY2120 @ SY2121 @ SY2119 ) @ SY2117 @ SY2118 @ SY2119 ) )
| ( SY2117 = SY2120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1659,plain,
! [SV243: $i] :
( ( ! [SY2122: $i] :
( ~ ( class_Orderings_Olinorder @ SV243 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SY2122 @ SV243 ) @ SV243 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2122 @ SV243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1197]) ).
thf(1660,plain,
! [SV244: $i] :
( ( ! [SY2123: $i,SY2124: $i,SY2125: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV244 @ SY2123 @ SY2124 ) @ ( c_List_Olist_OCons @ SY2123 @ SY2125 @ SY2124 ) @ SY2124 )
= ( c_List_Olist_OCons @ SY2123 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV244 @ SY2123 @ SY2124 ) @ SY2125 @ SY2124 ) @ SY2124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1198]) ).
thf(1661,plain,
! [SV245: $i] :
( ( ! [SY2126: $i,SY2127: $i,SY2128: $i,SY2129: $i] :
( ( c_List_Odrop @ SV245 @ ( c_List_Omap @ SY2126 @ SY2127 @ SY2128 @ SY2129 ) @ SY2129 )
= ( c_List_Omap @ SY2126 @ ( c_List_Odrop @ SV245 @ SY2127 @ SY2128 ) @ SY2128 @ SY2129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1199]) ).
thf(1662,plain,
! [SV246: $i] :
( ( ! [SY2130: $i] :
( ( c_List_Ohd @ ( c_List_Oappend @ ( c_List_Olist_ONil @ SV246 ) @ SY2130 @ SV246 ) @ SV246 )
= ( c_List_Ohd @ SY2130 @ SV246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1200]) ).
thf(1663,plain,
! [SV247: $i] :
( ( ! [SY2131: $i,SY2132: $i,SY2133: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV247 @ SY2131 @ SY2132 @ c_Message_Oagent_OServer @ SY2133 )
= SV247 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1664,plain,
! [SV248: $i] :
( ( ! [SY2134: $i,SY2135: $i,SY2136: $i] :
( ( ( c_List_Ofilter @ SV248 @ ( c_List_Olist_OCons @ SY2134 @ SY2135 @ SY2136 ) @ SY2136 )
= ( c_List_Ofilter @ SV248 @ SY2135 @ SY2136 ) )
| ( hBOOL @ ( hAPP @ SV248 @ SY2134 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1665,plain,
! [SV249: $i] :
( ( ! [SY2137: $i,SY2138: $i] :
( ( c_List_Ohd @ ( c_List_Olist_OCons @ SV249 @ SY2137 @ SY2138 ) @ SY2138 )
= SV249 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1666,plain,
! [SV250: $i] :
( ( ! [SY2139: $i] : ( c_List_Olist__all2 @ ( c_fequal @ SV250 ) @ SY2139 @ SY2139 @ SV250 @ SV250 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1667,plain,
! [SV251: $i] :
( ( ! [SY2140: $i,SY2141: $i,SY2142: $i] :
( ( c_List_Olist__all @ SV251 @ SY2140 @ SY2141 )
| ~ ( c_List_Olist__all @ SV251 @ ( c_List_Oappend @ SY2140 @ SY2142 @ SY2141 ) @ SY2141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1207]) ).
thf(1668,plain,
! [SV252: $i] :
( ( ! [SY2143: $i,SY2144: $i,SY2145: $i] :
( ( c_List_Olist__all @ SV252 @ SY2143 @ SY2144 )
| ~ ( c_List_Olist__all @ SV252 @ ( c_List_Oappend @ SY2145 @ SY2143 @ SY2144 ) @ SY2144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1208]) ).
thf(1669,plain,
! [SV253: $i] :
( ( ! [SY2146: $i,SY2147: $i] :
( ( c_List_Orotate1 @ ( c_List_Orotate @ SV253 @ SY2146 @ SY2147 ) @ SY2147 )
= ( c_List_Orotate @ SV253 @ ( c_List_Orotate1 @ SY2146 @ SY2147 ) @ SY2147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1209]) ).
thf(1670,plain,
! [SV254: $i] :
( ( ! [SY2148: $i,SY2149: $i,SY2150: $i,SY2151: $i] :
( ~ ( hBOOL @ ( hAPP @ SV254 @ ( c_List_Olist_Olist__case @ SY2148 @ SY2149 @ ( c_List_Olist_OCons @ SY2150 @ SY2151 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV254 @ ( hAPP @ ( hAPP @ SY2149 @ SY2150 ) @ SY2151 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1210]) ).
thf(1671,plain,
! [SV255: $i] :
( ( ! [SY2152: $i,SY2153: $i,SY2154: $i,SY2155: $i] :
( ~ ( hBOOL @ ( hAPP @ SV255 @ ( c_List_Olist_Olist__case @ SY2152 @ SY2153 @ ( c_List_Olist_OCons @ SY2154 @ SY2155 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV255 @ ( hAPP @ ( hAPP @ SY2153 @ SY2154 ) @ SY2155 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1211]) ).
thf(1672,plain,
! [SV256: $i] :
( ( ! [SY2156: $i,SY2157: $i] :
( ~ ( class_Orderings_Olinorder @ SV256 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SY2156 @ SY2157 @ SV256 ) @ SV256 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2157 @ SV256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1212]) ).
thf(1673,plain,
! [SV257: $i] :
( ( ! [SY2158: $i,SY2159: $i,SY2160: $i,SY2161: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV257 @ SY2158 @ SY2159 @ SY2160 ) @ SY2158 @ SY2161 @ SY2160 )
= ( c_List_Olist__update @ SV257 @ SY2158 @ SY2161 @ SY2160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1674,plain,
! [SV258: $i] :
( ( ! [SY2162: $i,SY2163: $i,SY2164: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV258 @ SY2162 @ SY2163 ) @ SY2164 @ SY2163 )
= ( c_List_Oappend @ SV258 @ ( c_List_Oappend @ SY2162 @ SY2164 @ SY2163 ) @ SY2163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1675,plain,
! [SV259: $i] :
( ( ! [SY2165: $i,SY2166: $i,SY2167: $i] :
( ( c_List_Oappend @ SV259 @ ( c_List_Oappend @ SY2165 @ SY2166 @ SY2167 ) @ SY2167 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV259 @ SY2165 @ SY2167 ) @ SY2166 @ SY2167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1215]) ).
thf(1676,plain,
! [SV260: $i] :
( ( ! [SY2168: $i,SY2169: $i,SY2170: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV260 @ SY2168 @ SY2169 ) @ SY2170 @ SY2169 )
= ( c_List_Oappend @ SV260 @ ( c_List_Oappend @ SY2168 @ SY2170 @ SY2169 ) @ SY2169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1216]) ).
thf(1677,plain,
! [SV261: $i] :
( ( ! [SY2171: $i,SY2172: $i,SY2173: $i] :
( ( c_List_Oappend @ SV261 @ ( c_List_Oappend @ SY2171 @ SY2172 @ SY2173 ) @ SY2173 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV261 @ SY2171 @ SY2173 ) @ SY2172 @ SY2173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1217]) ).
thf(1678,plain,
! [SV262: $i] :
( ( ! [SY2174: $i] :
( ( c_List_Oset @ ( c_List_Oremdups @ SV262 @ SY2174 ) @ SY2174 )
= ( c_List_Oset @ SV262 @ SY2174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1679,plain,
! [SV263: $i] :
( ( ! [SY2175: $i,SY2176: $i] :
( ~ ( class_Orderings_Olinorder @ SV263 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SY2175 @ SY2176 @ SV263 ) @ SV263 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2176 @ SV263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1680,plain,
! [SV264: $i] :
( ( ! [SY2177: $i,SY2178: $i,SY2179: $i] :
( ( c_List_Ofoldl @ SV264 @ SY2177 @ ( c_List_Olist_ONil @ SY2178 ) @ SY2179 @ SY2178 )
= SY2177 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1681,plain,
! [SV265: $i] :
( ( ! [SY2180: $i] :
( ( hBOOL @ ( hAPP @ SV265 @ SY2180 ) )
| ( hBOOL @ ( hAPP @ SV265 @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV265 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV265 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1682,plain,
! [SV266: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_ONil @ SV266 ) @ SV266 )
= ( c_List_Olist_ONil @ SV266 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1683,plain,
! [SV267: $i] :
( ( ! [SY2181: $i] :
( ( c_List_Odrop @ SV267 @ ( c_List_Olist_ONil @ SY2181 ) @ SY2181 )
= ( c_List_Olist_ONil @ SY2181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1684,plain,
! [SV268: $i] :
( ( ! [SY2182: $i] :
( ( hBOOL @ ( hAPP @ SV268 @ SY2182 ) )
| ( hBOOL @ ( hAPP @ SV268 @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV268 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV268 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1685,plain,
! [SV269: $i] :
( ( ! [SY2183: $i] :
( ( c_List_Olist__inter @ ( c_List_Olist_ONil @ SV269 ) @ SY2183 @ SV269 )
= ( c_List_Olist_ONil @ SV269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1686,plain,
! [SV270: $i] :
( ( ! [SY2184: $i] :
( ( c_List_OdropWhile @ SV270 @ ( c_List_Olist_ONil @ SY2184 ) @ SY2184 )
= ( c_List_Olist_ONil @ SY2184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1227]) ).
thf(1687,plain,
! [SV271: $i] :
( ( ! [SY2185: $i] :
( SV271
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2185 ) @ SV271 @ SY2185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1228]) ).
thf(1688,plain,
! [SV272: $i] :
( ( ! [SY2186: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV272 ) @ SY2186 @ SV272 )
= SY2186 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1229]) ).
thf(1689,plain,
! [SV273: $i] :
( ( ! [SY2187: $i] :
( SV273
= ( c_List_Oappend @ SV273 @ ( c_List_Olist_ONil @ SY2187 ) @ SY2187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1230]) ).
thf(1690,plain,
! [SV274: $i] :
( ( ! [SY2188: $i] :
( SV274
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2188 ) @ SV274 @ SY2188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1231]) ).
thf(1691,plain,
! [SV275: $i] :
( ( ! [SY2189: $i] :
( ( c_List_Oappend @ SV275 @ ( c_List_Olist_ONil @ SY2189 ) @ SY2189 )
= SV275 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1232]) ).
thf(1692,plain,
! [SV276: $i] :
( ( ! [SY2190: $i] :
( ( hBOOL @ ( hAPP @ SV276 @ SY2190 ) )
| ( hBOOL @ ( hAPP @ SV276 @ ( v_sko__List__Xlast__Xinduct__2 @ SV276 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV276 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1234]) ).
thf(1693,plain,
! [SV277: $i] :
( ( ! [SY2191: $i] :
( ( c_List_Otake @ SV277 @ ( c_List_Olist_ONil @ SY2191 ) @ SY2191 )
= ( c_List_Olist_ONil @ SY2191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1235]) ).
thf(1694,plain,
! [SV278: $i] :
( ( ! [SY2192: $i] :
( ( hBOOL @ ( hAPP @ SV278 @ SY2192 ) )
| ( hBOOL @ ( hAPP @ SV278 @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV278 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV278 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1236]) ).
thf(1695,plain,
! [SV279: $i] :
( ( ! [SY2193: $i] : ( c_List_Olistsp @ SV279 @ ( c_List_Olist_ONil @ SY2193 ) @ SY2193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1696,plain,
! [SV280: $i] :
( ( ! [SY2194: $i] :
( ( hBOOL @ ( hAPP @ SV280 @ SY2194 ) )
| ( hBOOL @ ( hAPP @ SV280 @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV280 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV280 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1238]) ).
thf(1697,plain,
! [SV281: $i] :
( ( ! [SY2195: $i] :
( ( hBOOL @ ( hAPP @ SV281 @ SY2195 ) )
| ( hBOOL @ ( hAPP @ SV281 @ ( v_sko__List__Xfoldl__Xinduct__2 @ SV281 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1698,plain,
! [SV282: $i] :
( ( ! [SY2196: $i] : ( c_List_Olist__all @ SV282 @ ( c_List_Olist_ONil @ SY2196 ) @ SY2196 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1699,plain,
! [SV283: $i] :
( ( ( c_List_Orotate1 @ ( c_List_Olist_ONil @ SV283 ) @ SV283 )
= ( c_List_Olist_ONil @ SV283 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1700,plain,
! [SV284: $i] :
( ( ! [SY2197: $i] :
~ ( c_List_Olist__ex @ SV284 @ ( c_List_Olist_ONil @ SY2197 ) @ SY2197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1701,plain,
! [SV285: $i] :
( ( c_List_Onull @ ( c_List_Olist_ONil @ SV285 ) @ SV285 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1702,plain,
! [SV286: $i] :
( ( ! [SY2198: $i,SY2199: $i] :
( ~ ( hBOOL @ ( hAPP @ SV286 @ ( c_List_Olist_Olist__case @ SY2198 @ SY2199 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV286 @ SY2198 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1703,plain,
! [SV287: $i] :
( ( ! [SY2200: $i,SY2201: $i,SY2202: $i] :
( ( c_List_Ofoldr @ SV287 @ ( c_List_Olist_ONil @ SY2200 ) @ SY2201 @ SY2200 @ SY2202 )
= SY2201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1704,plain,
! [SV288: $i] :
( ( ! [SY2203: $i] :
( ( hBOOL @ ( hAPP @ SV288 @ SY2203 ) )
| ( hBOOL @ ( hAPP @ SV288 @ ( v_sko__List__Xzip__Xinduct__2 @ SV288 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV288 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1705,plain,
! [SV289: $i] :
( ( ! [SY2204: $i,SY2205: $i] :
( ( c_List_Omap @ SV289 @ ( c_List_Olist_ONil @ SY2204 ) @ SY2204 @ SY2205 )
= ( c_List_Olist_ONil @ SY2205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1706,plain,
! [SV290: $i] :
( ( ! [SY2206: $i] :
( ( c_List_Osublist @ ( c_List_Olist_ONil @ SV290 ) @ SY2206 @ SV290 )
= ( c_List_Olist_ONil @ SV290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1707,plain,
! [SV291: $i] :
( ( ! [SY2207: $i] :
( ( hBOOL @ ( hAPP @ SV291 @ SY2207 ) )
| ( hBOOL @ ( hAPP @ SV291 @ ( v_sko__List__Xlistset__Xinduct__2 @ SV291 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV291 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1708,plain,
! [SV292: $i] :
( ( ! [SY2208: $i,SY2209: $i,SY2210: $i] :
( ( c_List_Olist_Olist__rec @ SV292 @ SY2208 @ ( c_List_Olist_ONil @ SY2209 ) @ SY2210 @ SY2209 )
= SV292 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1709,plain,
! [SV293: $i] :
( ( ! [SY2211: $i] :
( ( hBOOL @ ( hAPP @ SV293 @ SY2211 ) )
| ( hBOOL @ ( hAPP @ SV293 @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV293 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV293 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1251]) ).
thf(1710,plain,
! [SV294: $i] :
( ( ! [SY2212: $i] :
( ( hBOOL @ ( hAPP @ SV294 @ SY2212 ) )
| ( hBOOL @ ( hAPP @ SV294 @ ( v_sko__List__Xtake__Xinduct__2 @ SV294 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV294 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1252]) ).
thf(1711,plain,
! [SV295: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV295 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV295 ) @ SV295 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1712,plain,
! [SV296: $i] :
( ( ! [SY2213: $i,SY2214: $i] :
( ( c_List_Ofiltermap @ SV296 @ ( c_List_Olist_ONil @ SY2213 ) @ SY2213 @ SY2214 )
= ( c_List_Olist_ONil @ SY2214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1713,plain,
! [SV297: $i] :
( ( ! [SY2215: $i] :
( ( c_List_Ofilter @ SV297 @ ( c_List_Olist_ONil @ SY2215 ) @ SY2215 )
= ( c_List_Olist_ONil @ SY2215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1714,plain,
! [SV298: $i] :
( ( ! [SY2216: $i,SY2217: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV298 ) @ SY2216 @ SY2217 @ SV298 )
= ( c_List_Olist_ONil @ SV298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1257]) ).
thf(1715,plain,
! [SV299: $i] :
( ( ! [SY2218: $i,SY2219: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV299 ) @ SY2218 @ SY2219 @ SV299 )
= ( c_List_Olist_ONil @ SV299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1716,plain,
! [SV300: $i] :
( ( ! [SY2220: $i,SY2221: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV300 ) @ SY2220 @ SY2221 @ SV300 )
= ( c_List_Olist_ONil @ SV300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1717,plain,
! [SV301: $i] :
( ( ! [SY2222: $i] :
( ( hBOOL @ ( hAPP @ SV301 @ SY2222 ) )
| ( hBOOL @ ( hAPP @ SV301 @ ( v_sko__List__Xconcat__Xinduct__2 @ SV301 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV301 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1718,plain,
! [SV302: $i] :
( ( ! [SY2223: $i] :
( ( c_List_Oremove1 @ SV302 @ ( c_List_Olist_ONil @ SY2223 ) @ SY2223 )
= ( c_List_Olist_ONil @ SY2223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1719,plain,
! [SV303: $i] :
( ( ! [SY2224: $i] :
( ( hBOOL @ ( hAPP @ SV303 @ SY2224 ) )
| ( hBOOL @ ( hAPP @ SV303 @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV303 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1264]) ).
thf(1720,plain,
! [SV304: $i] :
( ( ! [SY2225: $i,SY2226: $i,SY2227: $i] :
( ( c_Map_Omap__upds @ SV304 @ SY2225 @ ( c_List_Olist_ONil @ SY2226 ) @ SY2227 @ SY2226 )
= SV304 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1721,plain,
! [SV305: $i] :
( ( ! [SY2228: $i,SY2229: $i,SY2230: $i] :
( ( c_Map_Omap__upds @ SV305 @ ( c_List_Olist_ONil @ SY2228 ) @ SY2229 @ SY2228 @ SY2230 )
= SV305 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1722,plain,
! [SV306: $i] :
( ( ! [SY2231: $i] :
( ( hBOOL @ ( hAPP @ SV306 @ SY2231 ) )
| ( hBOOL @ ( hAPP @ SV306 @ ( v_sko__List__Xremove1__Xinduct__2 @ SV306 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV306 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1723,plain,
! [SV307: $i] :
( ( ! [SY2232: $i,SY2233: $i,SY2234: $i] :
( ( c_List_Olist_Olist__case @ SV307 @ SY2232 @ ( c_List_Olist_ONil @ SY2233 ) @ SY2234 @ SY2233 )
= SV307 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1724,plain,
! [SV308: $i] :
( ( ! [SY2235: $i] :
( ( c_List_Orotate @ SV308 @ ( c_List_Olist_ONil @ SY2235 ) @ SY2235 )
= ( c_List_Olist_ONil @ SY2235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1725,plain,
! [SV309: $i] :
( ( ! [SY2236: $i] :
( ( hBOOL @ ( hAPP @ SV309 @ SY2236 ) )
| ( hBOOL @ ( hAPP @ SV309 @ ( v_sko__List__Xlist__Xinduct__2 @ SV309 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV309 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1726,plain,
! [SV310: $i] :
( ( ! [SY2237: $i,SY2238: $i] :
( ( c_List_Olist_ONil @ SV310 )
= ( c_List_Omap @ SY2237 @ ( c_List_Olist_ONil @ SY2238 ) @ SY2238 @ SV310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1727,plain,
! [SV311: $i] :
( ( ( c_List_Olist_ONil @ SV311 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV311 ) @ ( c_List_Olist_ONil @ SV311 ) @ SV311 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1728,plain,
! [SV312: $i] :
( ( ! [SY2239: $i] : ( c_List_Olistrelp @ SV312 @ ( c_List_Olist_ONil @ SY2239 ) @ ( c_List_Olist_ONil @ SY2239 ) @ SY2239 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1273]) ).
thf(1729,plain,
! [SV313: $i] :
( ( ! [SY2240: $i] :
( ( hBOOL @ ( hAPP @ SV313 @ SY2240 ) )
| ( hBOOL @ ( hAPP @ SV313 @ ( v_sko__List__Xmap__Xinduct__2 @ SV313 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV313 @ ( c_List_Olist_ONil @ t_a ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1730,plain,
! [SV314: $i] :
( ( ! [SY2241: $i] :
( ( ( c_List_Ohd @ ( hAPP @ ( c_List_Orev @ SV314 ) @ SY2241 ) @ SV314 )
= ( c_List_Olast @ SY2241 @ SV314 ) )
| ( SY2241
= ( c_List_Olist_ONil @ SV314 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1731,plain,
! [SV315: $i] :
( ( ! [SY2242: $i] :
( ( ( c_List_Olast @ ( hAPP @ ( c_List_Orev @ SV315 ) @ SY2242 ) @ SV315 )
= ( c_List_Ohd @ SY2242 @ SV315 ) )
| ( SY2242
= ( c_List_Olist_ONil @ SV315 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1732,plain,
! [SV316: $i] :
( ( ! [SY2243: $i,SY2244: $i] :
( ( hAPP @ ( c_List_Orev @ SV316 ) @ ( c_List_Olist_OCons @ SY2243 @ SY2244 @ SV316 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV316 ) @ SY2244 ) @ ( c_List_Olist_OCons @ SY2243 @ ( c_List_Olist_ONil @ SV316 ) @ SV316 ) @ SV316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1278]) ).
thf(1733,plain,
! [SV317: $i] :
( ( ! [SY2245: $i,SY2246: $i] :
( ( hAPP @ ( c_List_Orev @ SV317 ) @ ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV317 ) @ SY2245 ) @ ( c_List_Olist_OCons @ SY2246 @ ( c_List_Olist_ONil @ SV317 ) @ SV317 ) @ SV317 ) )
= ( c_List_Olist_OCons @ SY2246 @ SY2245 @ SV317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1280]) ).
thf(1734,plain,
! [SV318: $i] :
( ( ! [SY2247: $i,SY2248: $i,SY2249: $i] :
( ( c_Message_Oagent_Oagent__case @ SV318 @ SY2247 @ SY2248 @ c_Message_Oagent_OSpy @ SY2249 )
= SY2248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1281]) ).
thf(1735,plain,
! [SV319: $i] :
( ( ! [SY2250: $i,SY2251: $i,SY2252: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV319 @ SY2250 @ SY2251 @ c_Message_Oagent_OSpy @ SY2252 )
= SY2251 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1736,plain,
! [SV320: $i] :
( ( ! [SY2253: $i,SY2254: $i,SY2255: $i] :
( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_Message_Oagent_Oagent__case @ SY2253 @ SY2254 @ SY2255 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV320 @ SY2255 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1737,plain,
! [SV321: $i] :
( ( ! [SY2256: $i,SY2257: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV321 @ SY2256 ) @ SY2257 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1738,plain,
! [SV322: $i] :
( ( ! [SY2258: $i,SY2259: $i] :
( ( hAPP @ ( c_List_Orev @ SV322 ) @ ( c_List_Ofilter @ SY2258 @ SY2259 @ SV322 ) )
= ( c_List_Ofilter @ SY2258 @ ( hAPP @ ( c_List_Orev @ SV322 ) @ SY2259 ) @ SV322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1289]) ).
thf(1739,plain,
! [SV323: $i] :
( ( ! [SY2260: $i] :
( ( c_Nat_Osize__class_Osize @ ( hAPP @ ( c_List_Orev @ SV323 ) @ SY2260 ) @ ( tc_List_Olist @ SV323 ) )
= ( c_Nat_Osize__class_Osize @ SY2260 @ ( tc_List_Olist @ SV323 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1740,plain,
! [SV324: $i] :
( ( ! [SY2261: $i,SY2262: $i] :
( ( c_List_Olist__all @ SV324 @ ( hAPP @ ( c_List_Orev @ SY2261 ) @ SY2262 ) @ SY2261 )
| ~ ( c_List_Olist__all @ SV324 @ SY2262 @ SY2261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1741,plain,
! [SV325: $i] :
( ( ! [SY2263: $i,SY2264: $i] :
( ( c_List_Olist__all @ SV325 @ SY2263 @ SY2264 )
| ~ ( c_List_Olist__all @ SV325 @ ( hAPP @ ( c_List_Orev @ SY2264 ) @ SY2263 ) @ SY2264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1292]) ).
thf(1742,plain,
! [SV326: $i] :
( ( ! [SY2265: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV326 )
| ( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ SV326 ) @ SY2265 ) @ SV326 )
= ( c_List_Olistsum @ SY2265 @ SV326 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1743,plain,
! [SV327: $i] :
( ( ! [SY2266: $i] :
( ( c_List_Oset @ ( hAPP @ ( c_List_Orev @ SV327 ) @ SY2266 ) @ SV327 )
= ( c_List_Oset @ SY2266 @ SV327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1744,plain,
! [SV328: $i] :
( ( ! [SY2267: $i,SY2268: $i] :
( ( hAPP @ ( c_List_Orev @ SV328 ) @ ( c_List_Oreplicate @ SY2267 @ SY2268 @ SV328 ) )
= ( c_List_Oreplicate @ SY2267 @ SY2268 @ SV328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1295]) ).
thf(1745,plain,
! [SV329: $i] :
( ( ! [SY2269: $i,SY2270: $i,SY2271: $i,SY2272: $i] :
( ( c_List_Olist__all2 @ SV329 @ ( hAPP @ ( c_List_Orev @ SY2269 ) @ SY2270 ) @ ( hAPP @ ( c_List_Orev @ SY2271 ) @ SY2272 ) @ SY2269 @ SY2271 )
| ~ ( c_List_Olist__all2 @ SV329 @ SY2270 @ SY2272 @ SY2269 @ SY2271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1746,plain,
! [SV330: $i] :
( ( ! [SY2273: $i,SY2274: $i,SY2275: $i,SY2276: $i] :
( ( c_List_Olist__all2 @ SV330 @ SY2273 @ SY2274 @ SY2275 @ SY2276 )
| ~ ( c_List_Olist__all2 @ SV330 @ ( hAPP @ ( c_List_Orev @ SY2275 ) @ SY2273 ) @ ( hAPP @ ( c_List_Orev @ SY2276 ) @ SY2274 ) @ SY2275 @ SY2276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1747,plain,
! [SV331: $i] :
( ( ! [SY2277: $i,SY2278: $i,SY2279: $i] :
( ( hAPP @ ( c_List_Orev @ SV331 ) @ ( c_List_Omap @ SY2277 @ SY2278 @ SY2279 @ SV331 ) )
= ( c_List_Omap @ SY2277 @ ( hAPP @ ( c_List_Orev @ SY2279 ) @ SY2278 ) @ SY2279 @ SV331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1748,plain,
! [SV332: $i] :
( ( ! [SY2280: $i] : ( c_Fun_Oinj__on @ ( c_List_Orev @ SV332 ) @ SY2280 @ ( tc_List_Olist @ SV332 ) @ ( tc_List_Olist @ SV332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1299]) ).
thf(1749,plain,
! [SV333: $i] :
( ( ! [SY2281: $i] :
( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV333 ) @ SY2281 ) @ SV333 )
| ~ ( c_List_Odistinct @ SY2281 @ SV333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1300]) ).
thf(1750,plain,
! [SV334: $i] :
( ( ! [SY2282: $i] :
( ( c_List_Odistinct @ SV334 @ SY2282 )
| ~ ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SY2282 ) @ SV334 ) @ SY2282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1301]) ).
thf(1751,plain,
! [SV335: $i] :
( ( ! [SY2283: $i,SY2284: $i] :
( ( hAPP @ ( c_List_Orev @ SV335 ) @ ( c_List_Oappend @ SY2283 @ SY2284 @ SV335 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV335 ) @ SY2284 ) @ ( hAPP @ ( c_List_Orev @ SV335 ) @ SY2283 ) @ SV335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1752,plain,
! [SV336: $i] :
( ( ! [SY2285: $i,SY2286: $i,SY2287: $i,SY2288: $i] :
( ( c_List_Olist__all2 @ SV336 @ ( hAPP @ ( c_List_Orev @ SY2285 ) @ SY2286 ) @ SY2287 @ SY2285 @ SY2288 )
| ~ ( c_List_Olist__all2 @ SV336 @ SY2286 @ ( hAPP @ ( c_List_Orev @ SY2288 ) @ SY2287 ) @ SY2285 @ SY2288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1753,plain,
! [SV337: $i] :
( ( ! [SY2289: $i,SY2290: $i,SY2291: $i,SY2292: $i] :
( ( c_List_Olist__all2 @ SV337 @ SY2289 @ ( hAPP @ ( c_List_Orev @ SY2290 ) @ SY2291 ) @ SY2292 @ SY2290 )
| ~ ( c_List_Olist__all2 @ SV337 @ ( hAPP @ ( c_List_Orev @ SY2292 ) @ SY2289 ) @ SY2291 @ SY2292 @ SY2290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1304]) ).
thf(1754,plain,
! [SV338: $i] :
( ( ! [SY2293: $i,SY2294: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV338 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2293 @ SY2294 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1305]) ).
thf(1755,plain,
! [SV339: $i] :
( ( ! [SY2295: $i] :
( ( hAPP @ ( c_List_Orev @ SV339 ) @ ( c_List_Olist_OCons @ SY2295 @ ( c_List_Olist_ONil @ SV339 ) @ SV339 ) )
= ( c_List_Olist_OCons @ SY2295 @ ( c_List_Olist_ONil @ SV339 ) @ SV339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1309]) ).
thf(1756,plain,
! [SV340: $i] :
( ( ! [SY2296: $i] :
( ( c_List_Olist_OCons @ SV340 @ ( c_List_Olist_ONil @ SY2296 ) @ SY2296 )
= ( hAPP @ ( c_List_Orev @ SY2296 ) @ ( c_List_Olist_OCons @ SV340 @ ( c_List_Olist_ONil @ SY2296 ) @ SY2296 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1757,plain,
! [SV341: $i] :
( ( ( c_Event_Oknows @ SV341 @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ SV341 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1311]) ).
thf(1758,plain,
! [SV342: $i] :
( ( ( c_List_Olist_ONil @ SV342 )
= ( hAPP @ ( c_List_Orev @ SV342 ) @ ( c_List_Olist_ONil @ SV342 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1312]) ).
thf(1759,plain,
! [SV343: $i] :
( ( ! [SY2297: $i] :
( ( hAPP @ ( c_List_Orev @ SV343 ) @ ( hAPP @ ( c_List_Orev @ SV343 ) @ SY2297 ) )
= SY2297 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1760,plain,
! [SV344: $i] :
( ( ! [SY2298: $i] :
( ( hAPP @ ( c_List_Orev @ SV344 ) @ ( hAPP @ ( c_List_Orev @ SV344 ) @ SY2298 ) )
= SY2298 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1761,plain,
! [SV345: $i] :
( ( ! [SY2299: $i] :
( SV345
= ( hAPP @ ( c_List_Orev @ SY2299 ) @ ( hAPP @ ( c_List_Orev @ SY2299 ) @ SV345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1762,plain,
! [SV346: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV346 ) @ ( c_List_Olist_ONil @ SV346 ) )
= ( c_List_Olist_ONil @ SV346 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1319]) ).
thf(1763,plain,
! [SV347: $i] :
( ( ! [SY2300: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ SV347 @ SY2300 ) )
| ~ ( class_Orderings_Opreorder @ SY2300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1764,plain,
! [SV348: $i] :
( ( ! [SY2301: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ SV348 @ SY2301 ) )
| ~ ( class_Orderings_Oorder @ SY2301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1765,plain,
! [SV349: $i] :
( ( ! [SY2302: $i] :
( ( class_HOL_Oord @ ( tc_fun @ SV349 @ SY2302 ) )
| ~ ( class_HOL_Oord @ SY2302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1766,plain,
! [SV350: $i] :
( ( ! [SY2303: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV350 ) @ SY2303 ) @ SY2303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1767,plain,
! [SV351: $i] :
( ( ! [SY2304: $i,SY2305: $i] :
( ( SV351 = SY2304 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SY2305 ) @ SV351 ) @ SY2304 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1768,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1769,plain,
! [SV352: $i] :
( ( ! [SY2306: $i,SY2307: $i,SY2308: $i] :
( ( ( c_List_Omap @ SV352 @ SY2306 @ SY2307 @ SY2308 )
!= ( c_List_Olist_ONil @ SY2308 ) )
| ( SY2306
= ( c_List_Olist_ONil @ SY2307 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1335]) ).
thf(1770,plain,
! [SV353: $i] :
( ( ! [SY2309: $i,SY2310: $i,SY2311: $i,SY2312: $i,SY2313: $i,SY2314: $i] :
( ( ( hAPP @ SV353 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2309 @ SV353 @ SY2310 @ SY2311 ) )
!= ( hAPP @ SY2310 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2309 @ SV353 @ SY2310 @ SY2311 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY2312 @ SV353 @ SY2313 @ SY2309 @ SY2311 )
= ( c_Message_Oagent_Oagent__case @ SY2312 @ SY2310 @ SY2314 @ SY2309 @ SY2311 ) )
| ( SY2309 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1771,plain,
! [SV354: $i] :
( ( ! [SY2315: $i,SY2316: $i,SY2317: $i,SY2318: $i,SY2319: $i,SY2320: $i,SY2321: $i] :
( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2315 @ SV354 @ SY2316 @ SY2317 ) )
!= ( hAPP @ SY2316 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2315 @ SV354 @ SY2316 @ SY2317 ) ) )
| ( SY2315 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY2318 @ SV354 @ SY2319 @ SY2315 @ SY2317 )
= ( c_Message_Oagent_Oagent__case @ SY2320 @ SY2316 @ SY2321 @ SY2315 @ SY2317 ) )
| ( SY2315 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1772,plain,
! [SV355: $i] :
( ( ! [SY2322: $i,SY2323: $i,SY2324: $i,SY2325: $i,SY2326: $i] :
( ( ( hAPP @ SV355 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2322 @ SV355 @ SY2323 @ SY2324 ) )
!= ( hAPP @ SY2323 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2322 @ SV355 @ SY2323 @ SY2324 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY2325 @ SV355 @ SY2326 @ SY2322 @ SY2324 )
= ( c_Message_Oagent_Oagent__case @ SY2325 @ SY2323 @ SY2326 @ SY2322 @ SY2324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1773,plain,
! [SV356: $i] :
( ( ! [SY2327: $i,SY2328: $i] :
( ( ( c_List_Oappend @ SV356 @ SY2327 @ SY2328 )
!= SV356 )
| ( SY2327
= ( c_List_Olist_ONil @ SY2328 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1774,plain,
! [SV357: $i] :
( ( ! [SY2329: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV357 ) @ SY2329 )
!= ( c_List_Olist_ONil @ SV357 ) )
| ( SY2329
= ( c_List_Olist_ONil @ SV357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1340]) ).
thf(1775,plain,
! [SV358: $i] :
( ( ! [SY2330: $i,SY2331: $i,SY2332: $i] :
( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SY2330 ) ) @ SY2331 @ SY2330 )
!= SV358 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SY2331 @ ( tc_List_Olist @ SY2330 ) ) @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SY2330 ) ) @ tc_nat )
| ( ( c_List_Oappend @ SY2331 @ SY2332 @ SY2330 )
= ( c_List_Oappend @ SV358 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SY2330 ) ) @ SY2331 @ SY2330 ) @ SY2332 @ SY2330 ) @ SY2330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1776,plain,
! [SV359: $i] :
( ( ! [SY2333: $i,SY2334: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV359 ) @ SY2333 )
!= ( c_List_Olist_OCons @ SY2334 @ ( c_List_Olist_ONil @ SV359 ) @ SV359 ) )
| ( SY2333
= ( c_List_Olist_OCons @ SY2334 @ ( c_List_Olist_ONil @ SV359 ) @ SV359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1777,plain,
! [SV360: $i] :
( ( ! [SY2335: $i,SY2336: $i] :
( SV360
!= ( c_List_Olist_OCons @ SY2335 @ SV360 @ SY2336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1778,plain,
! [SV361: $i] :
( ( ! [SY2337: $i,SY2338: $i] :
( ( ( c_List_Olist_ONil @ SV361 )
!= ( c_List_Oappend @ SY2337 @ SY2338 @ SV361 ) )
| ( SY2338
= ( c_List_Olist_ONil @ SV361 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1779,plain,
! [SV362: $i] :
( ( ! [SY2339: $i,SY2340: $i,SY2341: $i,SY2342: $i] :
( ( ( c_List_Oappend @ SV362 @ SY2339 @ SY2340 )
!= ( c_List_Oappend @ SY2341 @ SY2342 @ SY2340 ) )
| ( SY2339
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SY2340 ) ) @ SY2341 @ SY2340 ) @ SY2342 @ SY2340 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SY2340 ) ) @ ( c_Nat_Osize__class_Osize @ SY2341 @ ( tc_List_Olist @ SY2340 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1780,plain,
! [SV363: $i] :
( ( ! [SY2343: $i,SY2344: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV363 ) @ SY2343 )
!= ( hAPP @ ( c_List_Orev @ SV363 ) @ SY2344 ) )
| ( SY2343 = SY2344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1781,plain,
! [SV364: $i] :
( ( ! [SY2345: $i,SY2346: $i] :
( ( ( c_List_Oappend @ SV364 @ SY2345 @ SY2346 )
!= SY2345 )
| ( SV364
= ( c_List_Olist_ONil @ SY2346 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1782,plain,
! [SV365: $i] :
( ( ! [SY2347: $i,SY2348: $i] :
( ( ( c_List_Orotate @ SV365 @ SY2347 @ SY2348 )
!= ( c_List_Olist_ONil @ SY2348 ) )
| ( SY2347
= ( c_List_Olist_ONil @ SY2348 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1783,plain,
! [SV366: $i] :
( ( ! [SY2349: $i] :
( ( ( c_List_Oremdups @ SV366 @ SY2349 )
!= SV366 )
| ( c_List_Odistinct @ SV366 @ SY2349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1784,plain,
! [SV367: $i] :
( ( ! [SY2350: $i,SY2351: $i] :
( ( c_List_Olist_OCons @ SV367 @ SY2350 @ SY2351 )
!= ( c_List_Olist_ONil @ SY2351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1785,plain,
! [SV368: $i] :
( ( ! [SY2352: $i,SY2353: $i] :
( ( ( c_List_Oappend @ SV368 @ SY2352 @ SY2353 )
!= ( c_List_Olist_ONil @ SY2353 ) )
| ( SY2352
= ( c_List_Olist_ONil @ SY2353 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1786,plain,
! [SV369: $i] :
( ( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ SV369 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1787,plain,
! [SV370: $i] :
( ( ! [SY2354: $i,SY2355: $i] :
( ( SV370
!= ( c_List_Oappend @ SV370 @ SY2354 @ SY2355 ) )
| ( SY2354
= ( c_List_Olist_ONil @ SY2355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1788,plain,
! [SV371: $i] :
( ( ! [SY2356: $i,SY2357: $i,SY2358: $i,SY2359: $i] :
( ( ( c_List_Oappend @ SV371 @ SY2356 @ SY2357 )
!= ( c_List_Oappend @ SY2358 @ SY2359 @ SY2357 ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SY2358 @ ( tc_List_Olist @ SY2357 ) ) @ SV371 @ SY2357 )
= SY2358 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV371 @ ( tc_List_Olist @ SY2357 ) ) @ ( c_Nat_Osize__class_Osize @ SY2358 @ ( tc_List_Olist @ SY2357 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1354]) ).
thf(1789,plain,
! [SV372: $i] :
( ( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ SV372 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1790,plain,
! [SV373: $i] :
( ( ! [SY2360: $i,SY2361: $i] :
( ( c_List_Olist_OCons @ SV373 @ SY2360 @ SY2361 )
!= ( c_List_Olist_ONil @ SY2361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1791,plain,
! [SV374: $i] :
( ( ! [SY2362: $i,SY2363: $i,SY2364: $i] :
( ( ( c_List_Oappend @ SV374 @ SY2362 @ SY2363 )
!= ( c_List_Oappend @ SV374 @ SY2364 @ SY2363 ) )
| ( SY2362 = SY2364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1357]) ).
thf(1792,plain,
! [SV375: $i] :
( ( ! [SY2365: $i,SY2366: $i,SY2367: $i,SY2368: $i] :
( ( ( c_List_Omap @ SV375 @ SY2365 @ SY2366 @ SY2367 )
!= ( c_List_Omap @ SV375 @ SY2368 @ SY2366 @ SY2367 ) )
| ( ( c_Nat_Osize__class_Osize @ SY2365 @ ( tc_List_Olist @ SY2366 ) )
= ( c_Nat_Osize__class_Osize @ SY2368 @ ( tc_List_Olist @ SY2366 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1793,plain,
! [SV376: $i] :
( ( ! [SY2369: $i,SY2370: $i] :
( ~ ( class_Orderings_Olinorder @ SV376 )
| ( ( c_List_Oset @ SY2369 @ SV376 )
!= ( c_List_Oset @ SY2370 @ SV376 ) )
| ~ ( c_List_Odistinct @ SY2370 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2370 @ SV376 )
| ~ ( c_List_Odistinct @ SY2369 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2369 @ SV376 )
| ( SY2369 = SY2370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1794,plain,
! [SV377: $i] :
( ( ! [SY2371: $i,SY2372: $i,SY2373: $i,SY2374: $i] :
( ( ( c_List_Oappend @ SV377 @ SY2371 @ SY2372 )
!= ( c_List_Oappend @ SY2373 @ SY2374 @ SY2372 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY2373 @ ( tc_List_Olist @ SY2372 ) ) @ SV377 @ SY2372 ) @ SY2371 @ SY2372 )
= SY2374 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV377 @ ( tc_List_Olist @ SY2372 ) ) @ ( c_Nat_Osize__class_Osize @ SY2373 @ ( tc_List_Olist @ SY2372 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1795,plain,
! [SV378: $i] :
( ( ! [SY2375: $i,SY2376: $i,SY2377: $i,SY2378: $i] :
( ( ( c_List_Olist_OCons @ SV378 @ SY2375 @ SY2376 )
!= ( c_List_Olist_OCons @ SY2377 @ SY2378 @ SY2376 ) )
| ( SY2375 = SY2378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1361]) ).
thf(1796,plain,
! [SV379: $i] :
( ( ! [SY2379: $i,SY2380: $i] :
( ( SV379
!= ( c_List_Oappend @ SY2379 @ SV379 @ SY2380 ) )
| ( SY2379
= ( c_List_Olist_ONil @ SY2380 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1797,plain,
! [SV380: $i] :
( ( ! [SY2381: $i,SY2382: $i,SY2383: $i,SY2384: $i] :
( ( ( c_List_Oreplicate @ SV380 @ SY2381 @ SY2382 )
!= ( c_List_Oreplicate @ SY2383 @ SY2384 @ SY2382 ) )
| ( SV380 = SY2383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1363]) ).
thf(1798,plain,
! [SV381: $i] :
( ( ! [SY2385: $i,SY2386: $i,SY2387: $i,SY2388: $i] :
( ( c_Event_Oevent_OSays @ SV381 @ SY2385 @ SY2386 )
!= ( c_Event_Oevent_OGets @ SY2387 @ SY2388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1799,plain,
! [SV382: $i] :
( ( ! [SY2389: $i,SY2390: $i,SY2391: $i] :
( ( ( c_List_Olist_ONil @ SV382 )
!= ( c_List_Omap @ SY2389 @ SY2390 @ SY2391 @ SV382 ) )
| ( SY2390
= ( c_List_Olist_ONil @ SY2391 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1365]) ).
thf(1800,plain,
! [SV383: $i] :
( ( ! [SY2392: $i] :
( ( ( c_List_Olist_ONil @ SV383 )
!= ( hAPP @ ( c_List_Orev @ SV383 ) @ SY2392 ) )
| ( SY2392
= ( c_List_Olist_ONil @ SV383 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1801,plain,
! [SV384: $i] :
( ( ! [SY2393: $i,SY2394: $i,SY2395: $i,SY2396: $i,SY2397: $i,SY2398: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SY2393 ) )
!= ( c_Nat_Osize__class_Osize @ SY2394 @ ( tc_List_Olist @ SY2395 ) ) )
| ( c_List_Olist__all2 @ SY2396 @ ( c_List_Oappend @ SV384 @ SY2397 @ SY2393 ) @ ( c_List_Oappend @ SY2394 @ SY2398 @ SY2395 ) @ SY2393 @ SY2395 )
| ~ ( c_List_Olist__all2 @ SY2396 @ SY2397 @ SY2398 @ SY2393 @ SY2395 )
| ~ ( c_List_Olist__all2 @ SY2396 @ SV384 @ SY2394 @ SY2393 @ SY2395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1802,plain,
! [SV385: $i] :
( ( ! [SY2399: $i] :
( ( ( c_List_Oremdups @ SV385 @ SY2399 )
!= ( c_List_Olist_ONil @ SY2399 ) )
| ( SV385
= ( c_List_Olist_ONil @ SY2399 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1803,plain,
! [SV386: $i] :
( ( ! [SY2400: $i,SY2401: $i] :
( ( ( c_List_Olist_ONil @ SV386 )
!= ( c_List_Oappend @ SY2400 @ SY2401 @ SV386 ) )
| ( SY2400
= ( c_List_Olist_ONil @ SV386 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1804,plain,
! [SV387: $i] :
( ( ! [SY2402: $i,SY2403: $i,SY2404: $i,SY2405: $i] :
( ( ( c_List_Oappend @ SV387 @ ( c_List_Olist_OCons @ SY2402 @ ( c_List_Olist_ONil @ SY2403 ) @ SY2403 ) @ SY2403 )
!= ( c_List_Oappend @ SY2404 @ ( c_List_Olist_OCons @ SY2405 @ ( c_List_Olist_ONil @ SY2403 ) @ SY2403 ) @ SY2403 ) )
| ( SY2402 = SY2405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1805,plain,
! [SV388: $i] :
( ( ! [SY2406: $i,SY2407: $i] :
( ( ( c_List_Odrop @ SV388 @ SY2406 @ SY2407 )
!= ( c_List_Olist_ONil @ SY2407 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SY2406 @ ( tc_List_Olist @ SY2407 ) ) @ SV388 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(1806,plain,
! [SV389: $i] :
( ( ! [SY2408: $i,SY2409: $i,SY2410: $i] :
( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SY2408 ) ) @ SY2409 @ SY2408 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY2409 @ ( tc_List_Olist @ SY2408 ) ) @ SV389 @ SY2408 ) @ SY2410 @ SY2408 ) @ SY2408 )
!= SY2410 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SY2408 ) ) @ SY2409 @ SY2408 )
!= SV389 )
| ( SY2409
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SY2409 @ ( tc_List_Olist @ SY2408 ) ) @ SV389 @ SY2408 ) )
| ( ( c_List_Oappend @ SY2409 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY2409 @ ( tc_List_Olist @ SY2408 ) ) @ SV389 @ SY2408 ) @ SY2410 @ SY2408 ) @ SY2408 )
= ( c_List_Oappend @ SV389 @ SY2410 @ SY2408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1807,plain,
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( hAPP @ ( c_List_Orev @ tc_Event_Oevent ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1808,plain,
! [SV390: $i] :
( ( ! [SY2411: $i,SY2412: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV390 @ SY2411 @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ SY2412 @ SY2411 @ tc_nat ) )
| ~ ( c_lessequals @ SY2411 @ SY2412 @ tc_nat )
| ~ ( c_lessequals @ SY2411 @ SV390 @ tc_nat )
| ( SV390 = SY2412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1809,plain,
( ( c_Message_Oagent_OSpy = c_Message_Oagent_OServer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1810,plain,
! [SV391: $i] :
( ( ! [SY2413: $i,SY2414: $i,SY2415: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV391 ) @ SY2413 )
!= ( c_List_Olist_OCons @ SY2414 @ SY2415 @ SV391 ) )
| ( SY2413
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV391 ) @ SY2415 ) @ ( c_List_Olist_OCons @ SY2414 @ ( c_List_Olist_ONil @ SV391 ) @ SV391 ) @ SV391 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1811,plain,
! [SV392: $i] :
( ( ! [SY2416: $i,SY2417: $i,SY2418: $i,SY2419: $i] :
( ( ( c_List_Olist_OCons @ SV392 @ SY2416 @ SY2417 )
!= ( c_List_Ofilter @ SY2418 @ SY2419 @ SY2417 ) )
| ( hBOOL @ ( hAPP @ SY2418 @ SV392 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1377]) ).
thf(1812,plain,
! [SV393: $i] :
( ( ! [SY2420: $i,SY2421: $i] :
( ( c_List_Olist_OCons @ SV393 @ SY2420 @ SY2421 )
!= SY2420 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1813,plain,
! [SV394: $i] :
( ( ! [SY2422: $i,SY2423: $i,SY2424: $i] :
( ( ( c_Event_Oevent_OGets @ SV394 @ SY2422 )
!= ( c_Event_Oevent_OGets @ SY2423 @ SY2424 ) )
| ( SY2422 = SY2424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1814,plain,
! [SV395: $i] :
( ( ! [SY2425: $i,SY2426: $i,SY2427: $i,SY2428: $i] :
( ( ( c_List_Olist_OCons @ SV395 @ SY2425 @ SY2426 )
!= ( c_List_Olist_OCons @ SY2427 @ SY2428 @ SY2426 ) )
| ( SV395 = SY2427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1815,plain,
! [SV396: $i] :
( ( ! [SY2429: $i] :
( ( ( c_List_Oremdups @ SV396 @ SY2429 )
!= SV396 )
| ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV396 @ SY2429 ) @ ( tc_List_Olist @ SY2429 ) )
= ( c_Nat_Osize__class_Osize @ SV396 @ ( tc_List_Olist @ SY2429 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1816,plain,
! [SV397: $i] :
( ( ! [SY2430: $i,SY2431: $i,SY2432: $i] :
( ( SV397
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SY2430 ) ) @ SY2431 @ SY2430 ) )
| ( ( c_List_Oappend @ SV397 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SY2430 ) ) @ SY2431 @ SY2430 ) @ SY2432 @ SY2430 ) @ SY2430 )
= ( c_List_Oappend @ SY2431 @ SY2432 @ SY2430 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SY2430 ) ) @ ( c_Nat_Osize__class_Osize @ SY2431 @ ( tc_List_Olist @ SY2430 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(1817,plain,
! [SV398: $i] :
( ( ! [SY2433: $i,SY2434: $i,SY2435: $i,SY2436: $i,SY2437: $i] :
( ( ( c_Event_Oevent_OSays @ SV398 @ SY2433 @ SY2434 )
!= ( c_Event_Oevent_OSays @ SY2435 @ SY2436 @ SY2437 ) )
| ( SY2433 = SY2436 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1818,plain,
! [SV399: $i] :
( ( ! [SY2438: $i,SY2439: $i,SY2440: $i,SY2441: $i] :
( ( ( c_List_Oappend @ SV399 @ SY2438 @ SY2439 )
!= ( c_List_Oappend @ SY2440 @ SY2441 @ SY2439 ) )
| ( SV399
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SY2439 ) ) @ SY2440 @ SY2439 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SY2439 ) ) @ ( c_Nat_Osize__class_Osize @ SY2440 @ ( tc_List_Olist @ SY2439 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(1819,plain,
! [SV400: $i] :
( ( ! [SY2442: $i,SY2443: $i] :
( ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Olist_ONil @ SY2442 ) @ SY2442 )
!= ( hAPP @ ( c_List_Orev @ SY2442 ) @ SY2443 ) )
| ( SY2443
= ( c_List_Olist_OCons @ SV400 @ ( c_List_Olist_ONil @ SY2442 ) @ SY2442 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(1820,plain,
! [SV401: $i] :
( ( ! [SY2444: $i,SY2445: $i,SY2446: $i,SY2447: $i,SY2448: $i,SY2449: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SY2444 ) )
!= ( c_Nat_Osize__class_Osize @ SY2445 @ ( tc_List_Olist @ SY2446 ) ) )
| ( c_List_Olist__all2 @ SY2447 @ SV401 @ SY2445 @ SY2444 @ SY2446 )
| ~ ( c_List_Olist__all2 @ SY2447 @ ( c_List_Oappend @ SV401 @ SY2448 @ SY2444 ) @ ( c_List_Oappend @ SY2445 @ SY2449 @ SY2446 ) @ SY2444 @ SY2446 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1386]) ).
thf(1821,plain,
! [SV402: $i] :
( ( ! [SY2450: $i,SY2451: $i,SY2452: $i,SY2453: $i,SY2454: $i,SY2455: $i] :
( ( ( hAPP @ SV402 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2450 @ SV402 @ SY2451 @ SY2452 ) )
!= ( hAPP @ SY2451 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2450 @ SV402 @ SY2451 @ SY2452 ) ) )
| ( SY2450 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY2453 @ SV402 @ SY2454 @ SY2450 @ SY2452 )
= ( c_Message_Oagent_Oagent__case @ SY2455 @ SY2451 @ SY2454 @ SY2450 @ SY2452 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1822,plain,
! [SV403: $i] :
( ( ! [SY2456: $i,SY2457: $i,SY2458: $i,SY2459: $i,SY2460: $i] :
( ( ( c_Event_Oevent_OSays @ SV403 @ SY2456 @ SY2457 )
!= ( c_Event_Oevent_OSays @ SY2458 @ SY2459 @ SY2460 ) )
| ( SV403 = SY2458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1823,plain,
( ( c_Message_Oagent_OServer = c_Message_Oagent_OSpy )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1824,plain,
! [SV404: $i] :
( ( ! [SY2461: $i,SY2462: $i,SY2463: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ SV404 )
| ( ( c_HOL_Ominus__class_Ominus @ SY2461 @ SY2461 @ SV404 )
!= ( c_HOL_Ominus__class_Ominus @ SY2462 @ SY2463 @ SV404 ) )
| ( SY2462 = SY2463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1825,plain,
! [SV405: $i] :
( ( ! [SY2464: $i,SY2465: $i,SY2466: $i,SY2467: $i] :
( ( ( c_List_OdropWhile @ SV405 @ SY2464 @ SY2465 )
!= ( c_List_Olist_OCons @ SY2466 @ SY2467 @ SY2465 ) )
| ~ ( hBOOL @ ( hAPP @ SV405 @ SY2466 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1826,plain,
! [SV406: $i] :
( ( ! [SY2468: $i,SY2469: $i,SY2470: $i,SY2471: $i,SY2472: $i] :
( ~ ( class_Divides_Oring__div @ SV406 )
| ( ( c_Divides_Odiv__class_Omod @ SY2468 @ SY2469 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SY2470 @ SY2469 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ SY2471 @ SY2469 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SY2472 @ SY2469 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY2471 @ SY2468 @ SV406 ) @ SY2469 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY2472 @ SY2470 @ SV406 ) @ SY2469 @ SV406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(1827,plain,
! [SV407: $i] :
( ( ! [SY2473: $i,SY2474: $i,SY2475: $i,SY2476: $i,SY2477: $i,SY2478: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SY2473 ) )
!= ( c_Nat_Osize__class_Osize @ SY2474 @ ( tc_List_Olist @ SY2475 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SY2476 @ ( tc_List_Olist @ SY2473 ) )
!= ( c_Nat_Osize__class_Osize @ SY2477 @ ( tc_List_Olist @ SY2475 ) ) )
| ( c_List_Olist__all2 @ SY2478 @ ( c_List_Oappend @ SY2477 @ SY2474 @ SY2475 ) @ ( c_List_Oappend @ SY2476 @ SV407 @ SY2473 ) @ SY2475 @ SY2473 )
| ~ ( c_List_Olist__all2 @ SY2478 @ SY2474 @ SV407 @ SY2475 @ SY2473 )
| ~ ( c_List_Olist__all2 @ SY2478 @ SY2477 @ SY2476 @ SY2475 @ SY2473 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(1828,plain,
! [SV408: $i] :
( ( ! [SY2479: $i,SY2480: $i] :
( ( ( c_List_Oappend @ SV408 @ SY2479 @ SY2480 )
!= ( c_List_Olist_ONil @ SY2480 ) )
| ( SV408
= ( c_List_Olist_ONil @ SY2480 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(1829,plain,
! [SV409: $i] :
( ( ! [SY2481: $i,SY2482: $i,SY2483: $i] :
( ( ( c_List_Oappend @ SV409 @ SY2481 @ SY2482 )
!= ( c_List_Oappend @ SY2483 @ SY2481 @ SY2482 ) )
| ( SV409 = SY2483 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(1830,plain,
! [SV410: $i] :
( ( ! [SY2484: $i,SY2485: $i,SY2486: $i,SY2487: $i,SY2488: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV410 @ ( tc_List_Olist @ SY2484 ) )
!= ( c_Nat_Osize__class_Osize @ SY2485 @ ( tc_List_Olist @ SY2486 ) ) )
| ( ( c_Map_Omap__upds @ SY2487 @ ( c_List_Oappend @ SV410 @ SY2488 @ SY2484 ) @ SY2485 @ SY2484 @ SY2486 )
= ( c_Map_Omap__upds @ SY2487 @ SV410 @ SY2485 @ SY2484 @ SY2486 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1396]) ).
thf(1831,plain,
! [SV411: $i] :
( ( ! [SY2489: $i,SY2490: $i,SY2491: $i,SY2492: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV411 )
| ( ( c_HOL_Ominus__class_Ominus @ SY2489 @ SY2490 @ SV411 )
!= ( c_HOL_Ominus__class_Ominus @ SY2491 @ SY2492 @ SV411 ) )
| ( c_lessequals @ SY2492 @ SY2491 @ SV411 )
| ~ ( c_lessequals @ SY2490 @ SY2489 @ SV411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1832,plain,
! [SV412: $i] :
( ( ! [SY2493: $i] :
( ( ( c_Message_Oagent_OFriend @ SV412 )
!= ( c_Message_Oagent_OFriend @ SY2493 ) )
| ( SV412 = SY2493 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1833,plain,
! [SV413: $i] :
( ( ! [SY2494: $i,SY2495: $i,SY2496: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ SV413 )
| ( ( c_HOL_Ominus__class_Ominus @ SY2494 @ SY2495 @ SV413 )
!= ( c_HOL_Ominus__class_Ominus @ SY2496 @ SY2496 @ SV413 ) )
| ( SY2494 = SY2495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1834,plain,
! [SV414: $i] :
( ( ! [SY2497: $i,SY2498: $i,SY2499: $i,SY2500: $i,SY2501: $i,SY2502: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SY2497 ) )
!= ( c_Nat_Osize__class_Osize @ SY2498 @ ( tc_List_Olist @ SY2499 ) ) )
| ( c_List_Olist__all2 @ SY2500 @ SY2501 @ SY2502 @ SY2497 @ SY2499 )
| ~ ( c_List_Olist__all2 @ SY2500 @ ( c_List_Oappend @ SV414 @ SY2501 @ SY2497 ) @ ( c_List_Oappend @ SY2498 @ SY2502 @ SY2499 ) @ SY2497 @ SY2499 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1400]) ).
thf(1835,plain,
! [SV415: $i] :
( ( ! [SY2503: $i,SY2504: $i] :
( ( c_List_Olist_ONil @ SV415 )
!= ( c_List_Olist_OCons @ SY2503 @ SY2504 @ SV415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1836,plain,
! [SV416: $i] :
( ( ( c_Message_Oagent_OFriend @ SV416 )
!= c_Message_Oagent_OServer )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(1837,plain,
! [SV417: $i] :
( ( ! [SY2505: $i,SY2506: $i,SY2507: $i,SY2508: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV417 )
| ( ( c_HOL_Ominus__class_Ominus @ SY2505 @ SY2506 @ SV417 )
!= ( c_HOL_Ominus__class_Ominus @ SY2507 @ SY2508 @ SV417 ) )
| ( c_lessequals @ SY2506 @ SY2505 @ SV417 )
| ~ ( c_lessequals @ SY2508 @ SY2507 @ SV417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1403]) ).
thf(1838,plain,
! [SV418: $i] :
( ( ! [SY2509: $i,SY2510: $i] :
( ( SV418
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV418 @ ( tc_List_Olist @ SY2509 ) ) @ SY2510 @ SY2509 ) )
| ( ( c_List_Oappend @ SV418 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV418 @ ( tc_List_Olist @ SY2509 ) ) @ SY2510 @ SY2509 ) @ SY2509 )
= SY2510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1839,plain,
! [SV419: $i] :
( ( ! [SY2511: $i] :
( ( ( c_List_Orotate1 @ SV419 @ SY2511 )
!= ( c_List_Olist_ONil @ SY2511 ) )
| ( SV419
= ( c_List_Olist_ONil @ SY2511 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1405]) ).
thf(1840,plain,
! [SV420: $i] :
( ( ! [SY2512: $i,SY2513: $i,SY2514: $i,SY2515: $i] :
( ( ( c_List_Oappend @ SV420 @ ( c_List_Olist_OCons @ SY2512 @ ( c_List_Olist_ONil @ SY2513 ) @ SY2513 ) @ SY2513 )
!= ( c_List_Oappend @ SY2514 @ ( c_List_Olist_OCons @ SY2515 @ ( c_List_Olist_ONil @ SY2513 ) @ SY2513 ) @ SY2513 ) )
| ( SV420 = SY2514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1841,plain,
! [SV421: $i] :
( ( ! [SY2516: $i] :
( ( ( c_List_Olist_ONil @ SV421 )
!= ( c_List_Oremdups @ SY2516 @ SV421 ) )
| ( SY2516
= ( c_List_Olist_ONil @ SV421 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1842,plain,
! [SV422: $i] :
( ( ! [SY2517: $i,SY2518: $i,SY2519: $i,SY2520: $i,SY2521: $i] :
( ( ( c_Event_Oevent_OSays @ SV422 @ SY2517 @ SY2518 )
!= ( c_Event_Oevent_OSays @ SY2519 @ SY2520 @ SY2521 ) )
| ( SY2518 = SY2521 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(1843,plain,
! [SV423: $i] :
( ( ! [SY2522: $i,SY2523: $i,SY2524: $i,SY2525: $i] :
( ( ( c_List_Ofilter @ SV423 @ SY2522 @ SY2523 )
!= ( c_List_Olist_OCons @ SY2524 @ SY2525 @ SY2523 ) )
| ( hBOOL @ ( hAPP @ SV423 @ SY2524 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1844,plain,
! [SV424: $i] :
( ( ! [SY2526: $i,SY2527: $i,SY2528: $i,SY2529: $i,SY2530: $i,SY2531: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SY2526 ) )
!= ( c_Nat_Osize__class_Osize @ SY2527 @ ( tc_List_Olist @ SY2528 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SY2529 @ ( tc_List_Olist @ SY2526 ) )
!= ( c_Nat_Osize__class_Osize @ SY2530 @ ( tc_List_Olist @ SY2528 ) ) )
| ( c_List_Olist__all2 @ SY2531 @ ( c_List_Oappend @ SY2529 @ SV424 @ SY2526 ) @ ( c_List_Oappend @ SY2530 @ SY2527 @ SY2528 ) @ SY2526 @ SY2528 )
| ~ ( c_List_Olist__all2 @ SY2531 @ SV424 @ SY2527 @ SY2526 @ SY2528 )
| ~ ( c_List_Olist__all2 @ SY2531 @ SY2529 @ SY2530 @ SY2526 @ SY2528 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1410]) ).
thf(1845,plain,
! [SV425: $i] :
( ( ! [SY2532: $i,SY2533: $i,SY2534: $i,SY2535: $i,SY2536: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV425 @ ( tc_List_Olist @ SY2532 ) )
!= ( c_Nat_Osize__class_Osize @ SY2533 @ ( tc_List_Olist @ SY2534 ) ) )
| ( ( c_Map_Omap__upds @ SY2535 @ SV425 @ ( c_List_Oappend @ SY2533 @ SY2536 @ SY2534 ) @ SY2532 @ SY2534 )
= ( c_Map_Omap__upds @ SY2535 @ SV425 @ SY2533 @ SY2532 @ SY2534 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(1846,plain,
! [SV426: $i] :
( ( ! [SY2537: $i,SY2538: $i,SY2539: $i] :
( ( ( c_List_Olist__update @ SV426 @ SY2537 @ SY2538 @ SY2539 )
!= ( c_List_Olist_ONil @ SY2539 ) )
| ( SV426
= ( c_List_Olist_ONil @ SY2539 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1847,plain,
! [SV427: $i] :
( ( ! [SY2540: $i,SY2541: $i,SY2542: $i,SY2543: $i] :
( ( c_Event_Oevent_OGets @ SV427 @ SY2540 )
!= ( c_Event_Oevent_OSays @ SY2541 @ SY2542 @ SY2543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1848,plain,
! [SV428: $i] :
( ( ! [SY2544: $i,SY2545: $i,SY2546: $i] :
( ( ( c_Event_Oevent_OGets @ SV428 @ SY2544 )
!= ( c_Event_Oevent_OGets @ SY2545 @ SY2546 ) )
| ( SV428 = SY2545 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(1849,plain,
! [SV429: $i] :
( ( ( c_Message_Oagent_OFriend @ SV429 )
!= c_Message_Oagent_OSpy )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1415]) ).
thf(1850,plain,
! [SV430: $i] :
( ( ! [SY2547: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV430 @ SY2547 ) @ ( tc_List_Olist @ SY2547 ) )
!= ( c_Nat_Osize__class_Osize @ SV430 @ ( tc_List_Olist @ SY2547 ) ) )
| ( ( c_List_Oremdups @ SV430 @ SY2547 )
= SV430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(1851,plain,
! [SV431: $i,SV1: $i] :
( ( ! [SY2548: $i,SY2549: $i,SY2550: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV1 @ SV431 ) @ ( c_Event_Oknows @ SV1 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2548 @ SY2549 @ SY2550 ) @ SV431 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1417]) ).
thf(1852,plain,
! [SV432: $i,SV2: $i] :
( ( ! [SY2551: $i,SY2552: $i] :
( ( c_Event_Oknows @ SV2 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV2 @ SV432 @ SY2551 ) @ SY2552 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2551 @ ( c_Event_Oknows @ SV2 @ SY2552 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1418]) ).
thf(1853,plain,
! [SV433: $i,SV3: $i] :
( ( ! [SY2553: $i,SY2554: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV3 @ SV433 @ SY2553 ) @ SY2554 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2553 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2554 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1419]) ).
thf(1854,plain,
! [SV434: $i,SV4: $i] :
( ( ! [SY2555: $i,SY2556: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV4 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV434 @ SY2555 @ SY2556 ) @ SV4 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(1855,plain,
! [SV435: $i,SV5: $i] :
( ( ! [SY2557: $i] :
( ( ( c_List_Odrop @ SV5 @ SV435 @ SY2557 )
= ( c_List_Olist_ONil @ SY2557 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV435 @ ( tc_List_Olist @ SY2557 ) ) @ SV5 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1421]) ).
thf(1856,plain,
! [SV436: $i,SV6: $i] :
( ( ! [SY2558: $i,SY2559: $i] :
( ( c_List_Otake @ SV6 @ ( c_List_Oappend @ SV436 @ SY2558 @ SY2559 ) @ SY2559 )
= ( c_List_Oappend @ ( c_List_Otake @ SV6 @ SV436 @ SY2559 ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV6 @ ( c_Nat_Osize__class_Osize @ SV436 @ ( tc_List_Olist @ SY2559 ) ) @ tc_nat ) @ SY2558 @ SY2559 ) @ SY2559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(1857,plain,
! [SV437: $i,SV7: $i] :
( ( ! [SY2560: $i,SY2561: $i] :
( ( c_List_Odrop @ SV7 @ ( c_List_Oappend @ SV437 @ SY2560 @ SY2561 ) @ SY2561 )
= ( c_List_Oappend @ ( c_List_Odrop @ SV7 @ SV437 @ SY2561 ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ SV7 @ ( c_Nat_Osize__class_Osize @ SV437 @ ( tc_List_Olist @ SY2561 ) ) @ tc_nat ) @ SY2560 @ SY2561 ) @ SY2561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1423]) ).
thf(1858,plain,
! [SV438: $i,SV8: $i] :
( ( ! [SY2562: $i,SY2563: $i,SY2564: $i] :
( ( hBOOL @ ( hAPP @ SV8 @ ( c_Message_Oagent_Oagent__case @ SV438 @ SY2562 @ SY2563 @ SY2564 @ t_a ) ) )
| ( SY2564 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV8 @ ( hAPP @ SY2562 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV8 @ SY2562 @ SY2564 ) ) ) )
| ( SY2564 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1424]) ).
thf(1859,plain,
! [SV439: $i,SV9: $i] :
( ( ! [SY2565: $i,SY2566: $i,SY2567: $i] :
( ( hBOOL @ ( hAPP @ SV9 @ ( c_Message_Oagent_Oagent__case @ SV439 @ SY2565 @ SY2566 @ SY2567 @ t_a ) ) )
| ( SY2567 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV9 @ ( hAPP @ SY2565 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV9 @ SY2565 @ SY2567 ) ) ) )
| ( SY2567 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1425]) ).
thf(1860,plain,
! [SV440: $i,SV10: $i] :
( ( ! [SY2568: $i,SY2569: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV10 @ SV440 ) @ ( c_Event_Oknows @ SV10 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2568 @ SY2569 ) @ SV440 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(1861,plain,
! [SV441: $i,SV11: $i] :
( ( ! [SY2570: $i,SY2571: $i,SY2572: $i] :
( ( hBOOL @ ( hAPP @ SV11 @ ( c_Message_Oagent_Oagent__case @ SV441 @ SY2570 @ SY2571 @ SY2572 @ t_a ) ) )
| ( SY2572 = c_Message_Oagent_OSpy )
| ( SY2572
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV11 @ SY2570 @ SY2572 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV11 @ SV441 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1862,plain,
! [SV442: $i,SV12: $i] :
( ( ! [SY2573: $i,SY2574: $i,SY2575: $i,SY2576: $i,SY2577: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV12 @ SV442 @ SY2573 @ SY2574 @ SY2575 )
= ( c_Message_Oagent_Oagent__case @ SV12 @ SY2576 @ SY2577 @ SY2574 @ SY2575 ) )
| ( SY2574 = c_Message_Oagent_OSpy )
| ( SY2574
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2574 @ SV442 @ SY2576 @ SY2575 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(1863,plain,
! [SV443: $i,SV13: $i] :
( ( ! [SY2578: $i,SY2579: $i,SY2580: $i] :
( ( hBOOL @ ( hAPP @ SV13 @ ( c_Message_Oagent_Oagent__case @ SV443 @ SY2578 @ SY2579 @ SY2580 @ t_a ) ) )
| ( SY2580 = c_Message_Oagent_OSpy )
| ( SY2580
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV13 @ SY2578 @ SY2580 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV13 @ SV443 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1429]) ).
thf(1864,plain,
! [SV444: $i,SV14: $i] :
( ( ! [SY2581: $i,SY2582: $i,SY2583: $i] :
( ( hBOOL @ ( hAPP @ SV14 @ ( c_Message_Oagent_Oagent__case @ SV444 @ SY2581 @ SY2582 @ SY2583 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV14 @ SY2582 ) )
| ( SY2583
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV14 @ SY2581 @ SY2583 ) ) )
| ( SY2583 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1430]) ).
thf(1865,plain,
! [SV445: $i,SV15: $i] :
( ( ! [SY2584: $i,SY2585: $i,SY2586: $i,SY2587: $i,SY2588: $i] :
( ( SV15
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV15 @ SV445 @ SY2584 @ SY2585 ) ) )
| ( SV15 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY2586 @ SV445 @ SY2587 @ SV15 @ SY2585 )
= ( c_Message_Oagent_Oagent__case @ SY2588 @ SY2584 @ SY2587 @ SV15 @ SY2585 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1431]) ).
thf(1866,plain,
! [SV446: $i,SV16: $i] :
( ( ! [SY2589: $i,SY2590: $i,SY2591: $i] :
( ( hBOOL @ ( hAPP @ SV16 @ ( c_Message_Oagent_Oagent__case @ SV446 @ SY2589 @ SY2590 @ SY2591 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV16 @ SY2590 ) )
| ( SY2591
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV16 @ SY2589 @ SY2591 ) ) )
| ( SY2591 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1432]) ).
thf(1867,plain,
! [SV447: $i,SV17: $i] :
( ( ! [SY2592: $i,SY2593: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV17 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV447 @ SY2592 @ SY2593 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2593 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV17 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1433]) ).
thf(1868,plain,
! [SV448: $i,SV18: $i] :
( ( ! [SY2594: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ SV18 @ ( c_List_Olist_OCons @ SV448 @ ( c_List_Olist_ONil @ SY2594 ) @ SY2594 ) @ SY2594 ) @ SY2594 )
= SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1434]) ).
thf(1869,plain,
! [SV449: $i,SV21: $i] :
( ( ! [SY2595: $i,SY2596: $i,SY2597: $i] :
( ~ ( class_HOL_Oord @ SV21 )
| ( c_lessequals @ ( hAPP @ SV449 @ SY2595 ) @ ( hAPP @ SY2596 @ SY2595 ) @ SV21 )
| ~ ( c_lessequals @ SV449 @ SY2596 @ ( tc_fun @ SY2597 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1437]) ).
thf(1870,plain,
! [SV450: $i,SV22: $i] :
( ( ! [SY2598: $i,SY2599: $i,SY2600: $i] :
( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SY2598 @ SY2599 @ SY2600 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SY2599 ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SY2598 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SY2598 @ SY2600 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV450 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1438]) ).
thf(1871,plain,
! [SV451: $i,SV23: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV23 @ ( c_HOL_Ominus__class_Ominus @ SV23 @ SV451 @ tc_nat ) @ tc_nat )
= SV451 )
| ~ ( c_lessequals @ SV451 @ SV23 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1872,plain,
! [SV452: $i,SV24: $i] :
( ( ! [SY2601: $i] :
( ( c_List_Obutlast @ ( c_List_Odrop @ SV24 @ SV452 @ SY2601 ) @ SY2601 )
= ( c_List_Odrop @ SV24 @ ( c_List_Obutlast @ SV452 @ SY2601 ) @ SY2601 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1873,plain,
! [SV453: $i,SV25: $i] :
( ( ! [SY2602: $i,SY2603: $i] :
( ~ ( class_Divides_Oring__div @ SV25 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV453 @ SY2602 @ SV25 ) @ SY2603 @ SV25 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV453 @ SY2603 @ SV25 ) @ ( c_Divides_Odiv__class_Omod @ SY2602 @ SY2603 @ SV25 ) @ SV25 ) @ SY2603 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(1874,plain,
! [SV454: $i,SV26: $i] :
( ( c_lessequals @ ( c_Divides_Odiv__class_Omod @ SV26 @ SV454 @ tc_nat ) @ SV26 @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(1875,plain,
! [SV455: $i,SV27: $i] :
( ( ! [SY2604: $i,SY2605: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV27 @ SV455 @ SY2604 ) @ SY2605 ) )
| ~ ( hBOOL @ ( hAPP @ SV455 @ SY2605 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1443]) ).
thf(1876,plain,
! [SV456: $i,SV28: $i] :
( ( ! [SY2606: $i] :
( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV28 @ SV456 @ tc_nat ) @ SY2606 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV28 @ SY2606 @ tc_nat ) @ SV456 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(1877,plain,
! [SV457: $i,SV29: $i] :
( ( ! [SY2607: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV29 @ SV457 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY2607 @ SV457 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV29 @ SY2607 @ tc_nat ) )
| ~ ( c_lessequals @ SV457 @ SY2607 @ tc_nat )
| ~ ( c_lessequals @ SV457 @ SV29 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1445]) ).
thf(1878,plain,
! [SV458: $i,SV30: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV30 @ SV458 @ tc_nat ) @ SV30 @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1446]) ).
thf(1879,plain,
! [SV459: $i,SV31: $i] :
( ( ! [SY2608: $i] :
( ( c_List_Otl @ ( c_List_Odrop @ SV31 @ SV459 @ SY2608 ) @ SY2608 )
= ( c_List_Odrop @ SV31 @ ( c_List_Otl @ SV459 @ SY2608 ) @ SY2608 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(1880,plain,
! [SV460: $i,SV32: $i] :
( ( ! [SY2609: $i] :
( ( c_List_Odrop @ SV32 @ ( c_List_Obutlast @ SV460 @ SY2609 ) @ SY2609 )
= ( c_List_Obutlast @ ( c_List_Odrop @ SV32 @ SV460 @ SY2609 ) @ SY2609 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1448]) ).
thf(1881,plain,
! [SV461: $i,SV33: $i] :
( ( ! [SY2610: $i] :
( ( c_lessequals @ SV33 @ SV461 @ tc_nat )
| ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV33 @ SY2610 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV461 @ SY2610 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SY2610 @ SV461 @ tc_nat )
| ~ ( c_lessequals @ SY2610 @ SV33 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1882,plain,
! [SV462: $i,SV34: $i] :
( ( ! [SY2611: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV34 @ SV462 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY2611 @ SV462 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV34 @ SY2611 @ tc_nat )
| ~ ( c_lessequals @ SV462 @ SY2611 @ tc_nat )
| ~ ( c_lessequals @ SV462 @ SV34 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(1883,plain,
! [SV463: $i,SV35: $i] :
( ( ! [SY2612: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV35 @ SV463 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY2612 @ SV463 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV35 @ SY2612 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1884,plain,
! [SV464: $i,SV36: $i] :
( ( ! [SY2613: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV36 @ SV464 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV36 @ SY2613 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SY2613 @ SV464 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1885,plain,
! [SV465: $i,SV37: $i] :
( ( ! [SY2614: $i,SY2615: $i] :
( ( c_Set_Oinsert @ SV37 @ ( c_Set_Oinsert @ SV465 @ SY2614 @ SY2615 ) @ SY2615 )
= ( c_Set_Oinsert @ SV465 @ ( c_Set_Oinsert @ SV37 @ SY2614 @ SY2615 ) @ SY2615 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(1886,plain,
! [SV466: $i,SV38: $i] :
( ( ! [SY2616: $i,SY2617: $i] :
( ~ ( class_Divides_Oring__div @ SV38 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV466 @ SY2616 @ SV38 ) @ SY2617 @ SV38 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV466 @ ( c_Divides_Odiv__class_Omod @ SY2616 @ SY2617 @ SV38 ) @ SV38 ) @ SY2617 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1887,plain,
! [SV467: $i,SV39: $i] :
( ( ! [SY2618: $i,SY2619: $i] :
( ~ ( class_Divides_Oring__div @ SV39 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV467 @ SY2618 @ SV39 ) @ SY2619 @ SV39 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV467 @ SY2619 @ SV39 ) @ SY2618 @ SV39 ) @ SY2619 @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(1888,plain,
! [SV468: $i,SV40: $i] :
( ( ! [SY2620: $i,SY2621: $i,SY2622: $i] :
( ( c_Fun_Oinj__on @ SV40 @ SV468 @ SY2620 @ SY2621 )
| ~ ( c_Fun_Oinj__on @ SV40 @ ( c_Set_Oinsert @ SY2622 @ SV468 @ SY2620 ) @ SY2620 @ SY2621 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(1889,plain,
! [SV469: $i,SV41: $i] :
( ( ! [SY2623: $i] :
( ( c_List_Odrop @ SV41 @ ( c_List_Otl @ SV469 @ SY2623 ) @ SY2623 )
= ( c_List_Otl @ ( c_List_Odrop @ SV41 @ SV469 @ SY2623 ) @ SY2623 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(1890,plain,
! [SV470: $i,SV42: $i] :
( ( ! [SY2624: $i,SY2625: $i] :
( ( c_lessequals @ SV42 @ SV470 @ ( tc_fun @ SY2624 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY2625 @ SV42 @ SY2624 ) @ SV470 @ ( tc_fun @ SY2624 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(1891,plain,
! [SV471: $i,SV43: $i] :
( ( ! [SY2626: $i,SY2627: $i] :
( ( c_lessequals @ SV43 @ ( c_Set_Oinsert @ SV471 @ SY2626 @ SY2627 ) @ ( tc_fun @ SY2627 @ tc_bool ) )
| ~ ( c_lessequals @ SV43 @ SY2626 @ ( tc_fun @ SY2627 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(1892,plain,
! [SV472: $i,SV44: $i] :
( ( ! [SY2628: $i] :
( ~ ( class_Divides_Osemiring__div @ SV44 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ SV472 @ SY2628 @ SV44 ) @ SY2628 @ SV44 )
= ( c_Divides_Odiv__class_Omod @ SV472 @ SY2628 @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1460]) ).
thf(1893,plain,
! [SV473: $i,SV45: $i] :
( ( ! [SY2629: $i] :
( ( c_Set_Oinsert @ SV45 @ ( c_Set_Oinsert @ SV45 @ SV473 @ SY2629 ) @ SY2629 )
= ( c_Set_Oinsert @ SV45 @ SV473 @ SY2629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1894,plain,
! [SV474: $i,SV46: $i] :
( ( ! [SY2630: $i,SY2631: $i] :
( ( hBOOL @ ( hAPP @ SV46 @ SV474 ) )
| ( SY2630 = SV474 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY2630 @ SV46 @ SY2631 ) @ SV474 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(1895,plain,
! [SV475: $i,SV47: $i] :
( ( ! [SY2632: $i] : ( c_lessequals @ SV47 @ ( c_Set_Oinsert @ SV475 @ SV47 @ SY2632 ) @ ( tc_fun @ SY2632 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1463]) ).
thf(1896,plain,
! [SV476: $i,SV48: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV48 @ SV476 @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SV476 @ tc_nat ) @ SV476 @ tc_nat ) )
| ~ ( c_lessequals @ SV476 @ SV48 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1464]) ).
thf(1897,plain,
! [SV477: $i,SV49: $i] :
( ( ! [SY2633: $i] :
( ( c_List_Otl @ ( c_List_Olist_OCons @ SV49 @ SV477 @ SY2633 ) @ SY2633 )
= SV477 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1465]) ).
thf(1898,plain,
! [SV478: $i,SV50: $i] :
( ( ! [SY2634: $i] :
( ( SV50 = SV478 )
| ~ ( c_lessequals @ SV478 @ SV50 @ ( tc_fun @ SY2634 @ tc_bool ) )
| ~ ( c_lessequals @ SV50 @ SV478 @ ( tc_fun @ SY2634 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1466]) ).
thf(1899,plain,
! [SV479: $i,SV51: $i] :
( ( ( SV51 = SV479 )
| ~ ( c_lessequals @ SV479 @ SV51 @ tc_nat )
| ~ ( c_lessequals @ SV51 @ SV479 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(1900,plain,
! [SV480: $i,SV52: $i] :
( ( ! [SY2635: $i] :
( ( SV52 = SV480 )
| ~ ( c_lessequals @ SV480 @ SV52 @ ( tc_fun @ SY2635 @ tc_bool ) )
| ~ ( c_lessequals @ SV52 @ SV480 @ ( tc_fun @ SY2635 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(1901,plain,
! [SV481: $i,SV53: $i] :
( ( ! [SY2636: $i] :
( ~ ( class_Orderings_Oorder @ SV53 )
| ( SV481 = SY2636 )
| ~ ( c_lessequals @ SY2636 @ SV481 @ SV53 )
| ~ ( c_lessequals @ SV481 @ SY2636 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(1902,plain,
! [SV482: $i,SV54: $i] :
( ( ! [SY2637: $i] :
( ~ ( class_Orderings_Oorder @ SV54 )
| ( SV482 = SY2637 )
| ~ ( c_lessequals @ SY2637 @ SV482 @ SV54 )
| ~ ( c_lessequals @ SV482 @ SY2637 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1470]) ).
thf(1903,plain,
! [SV483: $i,SV55: $i] :
( ( ! [SY2638: $i] :
( ~ ( class_Orderings_Oorder @ SV55 )
| ( SV483 = SY2638 )
| ~ ( c_lessequals @ SV483 @ SY2638 @ SV55 )
| ~ ( c_lessequals @ SY2638 @ SV483 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1471]) ).
thf(1904,plain,
! [SV484: $i,SV56: $i] :
( ( ! [SY2639: $i,SY2640: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV56 @ SV484 @ SY2639 @ SY2640 ) @ SY2640 ) @ ( c_Set_Oinsert @ SY2639 @ ( c_List_Oset @ SV56 @ SY2640 ) @ SY2640 ) @ ( tc_fun @ SY2640 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1905,plain,
! [SV485: $i,SV57: $i] :
( ( ! [SY2641: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV57 @ SV485 @ SY2641 ) @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1473]) ).
thf(1906,plain,
! [SV486: $i,SV58: $i] :
( ( ! [SY2642: $i,SY2643: $i] :
( ~ ( class_Orderings_Oorder @ SV58 )
| ( c_lessequals @ SV486 @ SY2642 @ SV58 )
| ~ ( c_lessequals @ SV486 @ SY2643 @ SV58 )
| ~ ( c_lessequals @ SY2643 @ SY2642 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(1907,plain,
! [SV487: $i,SV59: $i] :
( ( ! [SY2644: $i,SY2645: $i] :
( ~ ( class_Orderings_Opreorder @ SV59 )
| ( c_lessequals @ SV487 @ SY2644 @ SV59 )
| ~ ( c_lessequals @ SY2645 @ SY2644 @ SV59 )
| ~ ( c_lessequals @ SV487 @ SY2645 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(1908,plain,
! [SV488: $i,SV61: $i] :
( ( ! [SY2646: $i] :
( ( c_lessequals @ SV61 @ SV488 @ tc_nat )
| ~ ( c_lessequals @ SY2646 @ SV488 @ tc_nat )
| ~ ( c_lessequals @ SV61 @ SY2646 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(1909,plain,
! [SV489: $i,SV63: $i] :
( ( c_lessequals @ SV63 @ SV63 @ ( tc_fun @ SV489 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1910,plain,
! [SV490: $i,SV64: $i] :
( ( c_lessequals @ SV64 @ SV64 @ ( tc_fun @ SV490 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(1911,plain,
! [SV491: $i,SV65: $i] :
( ( ! [SY2647: $i,SY2648: $i] :
( ( c_lessequals @ SV65 @ SV491 @ ( tc_fun @ SY2647 @ tc_bool ) )
| ~ ( c_lessequals @ SY2648 @ SV491 @ ( tc_fun @ SY2647 @ tc_bool ) )
| ~ ( c_lessequals @ SV65 @ SY2648 @ ( tc_fun @ SY2647 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(1912,plain,
! [SV492: $i,SV66: $i] :
( ( ! [SY2649: $i,SY2650: $i,SY2651: $i] :
( ( c_Fun_Oinj__on @ SV66 @ SV492 @ SY2649 @ SY2650 )
| ~ ( c_lessequals @ SV492 @ SY2651 @ ( tc_fun @ SY2649 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV66 @ SY2651 @ SY2649 @ SY2650 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1913,plain,
! [SV493: $i,SV67: $i] :
( ( ! [SY2652: $i,SY2653: $i] :
( ( hBOOL @ ( hAPP @ SV67 @ SV493 ) )
| ~ ( hBOOL @ ( hAPP @ SY2652 @ SV493 ) )
| ~ ( c_lessequals @ SY2652 @ SV67 @ ( tc_fun @ SY2653 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(1914,plain,
! [SV494: $i,SV68: $i] :
( ( ~ ( class_Orderings_Oorder @ SV68 )
| ( c_lessequals @ SV494 @ SV494 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1915,plain,
! [SV495: $i,SV69: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV69 )
| ( c_lessequals @ SV495 @ SV495 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1485]) ).
thf(1916,plain,
! [SV496: $i,SV70: $i] :
( ( ! [SY2654: $i,SY2655: $i] :
( ( hBOOL @ ( hAPP @ SV70 @ SV496 ) )
| ~ ( c_lessequals @ SY2654 @ SV70 @ ( tc_fun @ SY2655 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY2654 @ SV496 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1917,plain,
! [SV497: $i,SV71: $i] :
( ( ! [SY2656: $i,SY2657: $i,SY2658: $i] :
( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SV497 @ SY2656 @ SY2657 @ SY2658 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SY2657 ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SY2656 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SY2656 @ SY2658 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SV497 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(1918,plain,
! [SV498: $i,SV72: $i] :
( ( ! [SY2659: $i,SY2660: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV72 @ SV498 @ SY2659 ) @ ( c_Set_Oinsert @ SV72 @ SY2660 @ SY2659 ) @ ( tc_fun @ SY2659 @ tc_bool ) )
| ~ ( c_lessequals @ SV498 @ SY2660 @ ( tc_fun @ SY2659 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1488]) ).
thf(1919,plain,
! [SV499: $i,SV73: $i] :
( ( ( c_lessequals @ SV73 @ SV499 @ tc_nat )
| ( c_lessequals @ SV499 @ SV73 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1489]) ).
thf(1920,plain,
! [SV500: $i,SV74: $i] :
( ( ! [SY2661: $i] :
( ~ ( class_Orderings_Olinorder @ SV74 )
| ( c_lessequals @ SV500 @ SY2661 @ SV74 )
| ( c_lessequals @ SY2661 @ SV500 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1490]) ).
thf(1921,plain,
! [SV501: $i,SV75: $i] :
( ( ! [SY2662: $i] :
( ( c_List_Orotate @ SV75 @ ( hAPP @ ( c_List_Orev @ SV501 ) @ SY2662 ) @ SV501 )
= ( hAPP @ ( c_List_Orev @ SV501 ) @ ( c_List_Orotate @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY2662 @ ( tc_List_Olist @ SV501 ) ) @ ( c_Divides_Odiv__class_Omod @ SV75 @ ( c_Nat_Osize__class_Osize @ SY2662 @ ( tc_List_Olist @ SV501 ) ) @ tc_nat ) @ tc_nat ) @ SY2662 @ SV501 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1922,plain,
! [SV502: $i,SV76: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV76 @ ( c_List_Olist_ONil @ SV502 ) @ SV502 ) @ SV502 )
= ( c_List_Olist_ONil @ SV502 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1492]) ).
thf(1923,plain,
! [SV503: $i,SV77: $i] :
( ( ! [SY2663: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV77 @ SV503 @ SY2663 ) @ SY2663 )
= ( c_List_Olist_OCons @ SV77 @ ( c_List_Obutlast @ SV503 @ SY2663 ) @ SY2663 ) )
| ( SV503
= ( c_List_Olist_ONil @ SY2663 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1924,plain,
! [SV504: $i,SV78: $i] :
( ( ! [SY2664: $i] : ( c_lessequals @ ( c_List_Oset @ SV78 @ SV504 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY2664 @ SV78 @ SV504 ) @ SV504 ) @ ( tc_fun @ SV504 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1925,plain,
! [SV505: $i,SV79: $i] :
( ( ! [SY2665: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ SV79 @ SV505 @ SY2665 ) @ SY2665 )
= ( c_Set_Oinsert @ SV79 @ ( c_List_Oset @ SV505 @ SY2665 ) @ SY2665 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1495]) ).
thf(1926,plain,
! [SV506: $i,SV80: $i] :
( ( ! [SY2666: $i] :
~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ SV80 @ SV506 @ SY2666 ) @ ( tc_List_Olist @ SY2666 ) ) @ ( c_Nat_Osize__class_Osize @ SV506 @ ( tc_List_Olist @ SY2666 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1927,plain,
! [SV507: $i,SV81: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV81 @ ( c_List_Olist_ONil @ SV507 ) @ SV507 ) @ SV507 )
= ( c_List_Obutlast @ SV81 @ SV507 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1497]) ).
thf(1928,plain,
! [SV508: $i,SV82: $i] :
( ( ! [SY2667: $i] :
( ( ( c_List_Otl @ ( c_List_Oappend @ SV82 @ SV508 @ SY2667 ) @ SY2667 )
= ( c_List_Oappend @ ( c_List_Otl @ SV82 @ SY2667 ) @ SV508 @ SY2667 ) )
| ( SV82
= ( c_List_Olist_ONil @ SY2667 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1498]) ).
thf(1929,plain,
! [SV509: $i,SV83: $i] :
( ( ! [SY2668: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV83 @ SV509 @ SY2668 ) @ SY2668 )
= ( c_List_Oappend @ SV83 @ ( c_List_Obutlast @ SV509 @ SY2668 ) @ SY2668 ) )
| ( SV509
= ( c_List_Olist_ONil @ SY2668 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1499]) ).
thf(1930,plain,
! [SV510: $i,SV84: $i] :
( ( ! [SY2669: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Otake @ SV84 @ SV510 @ SY2669 ) @ SY2669 ) @ ( c_List_Oset @ SV510 @ SY2669 ) @ ( tc_fun @ SY2669 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(1931,plain,
! [SV511: $i,SV85: $i] :
( ( ! [SY2670: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ SV85 @ SV511 @ SY2670 ) @ SY2670 ) @ ( c_List_Oset @ SV511 @ SY2670 ) @ ( tc_fun @ SY2670 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1932,plain,
! [SV512: $i,SV86: $i] :
( ( ! [SY2671: $i] :
( ( ( c_List_Otake @ SV86 @ SV512 @ SY2671 )
= SV512 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV512 @ ( tc_List_Olist @ SY2671 ) ) @ SV86 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1933,plain,
! [SV513: $i,SV87: $i] :
( ( ! [SY2672: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Ofilter @ SV87 @ SV513 @ SY2672 ) @ ( tc_List_Olist @ SY2672 ) ) @ ( c_Nat_Osize__class_Osize @ SV513 @ ( tc_List_Olist @ SY2672 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(1934,plain,
! [SV514: $i,SV88: $i] :
( ( ! [SY2673: $i,SY2674: $i] :
( ~ ( class_Orderings_Olinorder @ SV88 )
| ( c_lessequals @ SV514 @ SY2673 @ SV88 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV514 @ ( c_List_Olist_OCons @ SY2673 @ SY2674 @ SV88 ) @ SV88 ) @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1504]) ).
thf(1935,plain,
! [SV515: $i,SV89: $i] :
( ( ! [SY2675: $i,SY2676: $i] :
( ~ ( class_Orderings_Olinorder @ SV89 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV515 @ ( c_List_Olist_OCons @ SY2675 @ SY2676 @ SV89 ) @ SV89 ) @ SV89 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2675 @ SY2676 @ SV89 ) @ SV89 )
| ~ ( c_lessequals @ SV515 @ SY2675 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(1936,plain,
! [SV516: $i,SV90: $i] :
( ( ! [SY2677: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Odrop @ SV90 @ SV516 @ SY2677 ) @ SY2677 ) @ ( c_List_Oset @ SV516 @ SY2677 ) @ ( tc_fun @ SY2677 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1937,plain,
! [SV517: $i,SV91: $i] :
( ( ! [SY2678: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Odrop @ SV91 @ SV517 @ SY2678 ) @ ( tc_List_Olist @ SY2678 ) )
= ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SV517 @ ( tc_List_Olist @ SY2678 ) ) @ SV91 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1507]) ).
thf(1938,plain,
! [SV518: $i,SV92: $i] :
( ( ! [SY2679: $i,SY2680: $i] :
( ( ( c_List_Olist__update @ SV92 @ SV518 @ SY2679 @ SY2680 )
= SV92 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV92 @ ( tc_List_Olist @ SY2680 ) ) @ SV518 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1939,plain,
! [SV519: $i,SV93: $i] :
( ( ! [SY2681: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_OdropWhile @ SV93 @ SV519 @ SY2681 ) @ ( tc_List_Olist @ SY2681 ) ) @ ( c_Nat_Osize__class_Osize @ SV519 @ ( tc_List_Olist @ SY2681 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1940,plain,
! [SV520: $i,SV94: $i] :
( ( ! [SY2682: $i,SY2683: $i] :
( ( c_List_Odrop @ SV94 @ ( c_List_Otake @ SV520 @ SY2682 @ SY2683 ) @ SY2683 )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV520 @ SV94 @ tc_nat ) @ ( c_List_Odrop @ SV94 @ SY2682 @ SY2683 ) @ SY2683 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1941,plain,
! [SV521: $i,SV95: $i] :
( ( ! [SY2684: $i] :
( ( c_List_Orotate @ SV95 @ SV521 @ SY2684 )
= ( c_List_Orotate @ ( c_Divides_Odiv__class_Omod @ SV95 @ ( c_Nat_Osize__class_Osize @ SV521 @ ( tc_List_Olist @ SY2684 ) ) @ tc_nat ) @ SV521 @ SY2684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(1942,plain,
! [SV522: $i,SV96: $i] :
( ( ! [SY2685: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ SV96 @ SV522 @ SY2685 ) @ SY2685 ) @ ( c_List_Oset @ SV522 @ SY2685 ) @ ( tc_fun @ SY2685 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(1943,plain,
! [SV523: $i,SV97: $i] :
( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV97 @ SV523 ) @ ( tc_List_Olist @ SV523 ) ) @ ( c_Nat_Osize__class_Osize @ SV97 @ ( tc_List_Olist @ SV523 ) ) @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1513]) ).
thf(1944,plain,
! [SV524: $i,SV98: $i] :
( ( ! [SY2686: $i,SY2687: $i,SY2688: $i] :
( ( hBOOL @ ( hAPP @ SV98 @ ( c_Message_Oagent_Oagent__case @ SV524 @ SY2686 @ SY2687 @ SY2688 @ t_a ) ) )
| ( SY2688 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV98 @ ( hAPP @ SY2686 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV98 @ SY2686 @ SY2688 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ SV524 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1945,plain,
! [SV525: $i,SV99: $i] :
( ( ! [SY2689: $i,SY2690: $i,SY2691: $i] :
( ( hBOOL @ ( hAPP @ SV99 @ ( c_Message_Oagent_Oagent__case @ SV525 @ SY2689 @ SY2690 @ SY2691 @ t_a ) ) )
| ( SY2691 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV99 @ ( hAPP @ SY2689 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV99 @ SY2689 @ SY2691 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV99 @ SV525 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1515]) ).
thf(1946,plain,
! [SV526: $i,SV100: $i] :
( ( ! [SY2692: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV100 @ SV526 ) @ ( c_Event_Oknows @ SV100 @ ( c_List_Olist_OCons @ SY2692 @ SV526 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(1947,plain,
! [SV527: $i,SV101: $i] :
( ( ! [SY2693: $i,SY2694: $i] :
( ( c_List_Odrop @ SV101 @ ( c_List_Oreplicate @ SV527 @ SY2693 @ SY2694 ) @ SY2694 )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ SV527 @ SV101 @ tc_nat ) @ SY2693 @ SY2694 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(1948,plain,
! [SV528: $i,SV102: $i] :
( ( ! [SY2695: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Osublist @ SV102 @ SV528 @ SY2695 ) @ SY2695 ) @ ( c_List_Oset @ SV102 @ SY2695 ) @ ( tc_fun @ SY2695 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1518]) ).
thf(1949,plain,
! [SV529: $i,SV103: $i] :
( ( ! [SY2696: $i,SY2697: $i,SY2698: $i] :
( ( hBOOL @ ( hAPP @ SV103 @ ( c_Message_Oagent_Oagent__case @ SV529 @ SY2696 @ SY2697 @ SY2698 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ SY2697 ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ ( hAPP @ SY2696 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV103 @ SY2696 @ SY2698 ) ) ) )
| ( SY2698 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(1950,plain,
! [SV530: $i,SV104: $i] :
( ( ! [SY2699: $i,SY2700: $i,SY2701: $i] :
( ( hBOOL @ ( hAPP @ SV104 @ ( c_Message_Oagent_Oagent__case @ SV530 @ SY2699 @ SY2700 @ SY2701 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ SY2700 ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ ( hAPP @ SY2699 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV104 @ SY2699 @ SY2701 ) ) ) )
| ( SY2701 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1951,plain,
! [SV531: $i,SV105: $i] :
( ( ! [SY2702: $i,SY2703: $i,SY2704: $i,SY2705: $i] :
( ( SV105
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV105 @ SV531 @ SY2702 @ SY2703 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY2704 @ SV531 @ SY2705 @ SV105 @ SY2703 )
= ( c_Message_Oagent_Oagent__case @ SY2704 @ SY2702 @ SY2705 @ SV105 @ SY2703 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(1952,plain,
! [SV532: $i,SV106: $i] :
( ( ! [SY2706: $i,SY2707: $i,SY2708: $i] :
( ( hBOOL @ ( hAPP @ SV106 @ ( c_Message_Oagent_Oagent__case @ SV532 @ SY2706 @ SY2707 @ SY2708 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SY2707 ) )
| ( SY2708
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV106 @ SY2706 @ SY2708 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SV532 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(1953,plain,
! [SV533: $i,SV107: $i] :
( ( ! [SY2709: $i,SY2710: $i,SY2711: $i] :
( ( hBOOL @ ( hAPP @ SV107 @ ( c_Message_Oagent_Oagent__case @ SV533 @ SY2709 @ SY2710 @ SY2711 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SY2710 ) )
| ( SY2711
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV107 @ SY2709 @ SY2711 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SV533 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1954,plain,
! [SV534: $i,SV108: $i] :
( ( c_lessequals @ ( c_Event_OinitState @ SV108 ) @ ( c_Event_Oknows @ SV108 @ SV534 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1524]) ).
thf(1955,plain,
! [SV535: $i,SV109: $i] :
( ( ( hBOOL @ ( hAPP @ SV109 @ SV535 ) )
| ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV109 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV109 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1525]) ).
thf(1956,plain,
! [SV536: $i,SV110: $i] :
( ( ( hBOOL @ ( hAPP @ SV110 @ SV536 ) )
| ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV110 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV110 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1957,plain,
! [SV537: $i,SV111: $i] :
( ( ( hBOOL @ ( hAPP @ SV111 @ SV537 ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV111 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV111 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1527]) ).
thf(1958,plain,
! [SV538: $i,SV112: $i] :
( ( ( hBOOL @ ( hAPP @ SV112 @ SV538 ) )
| ~ ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV112 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV112 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1528]) ).
thf(1959,plain,
! [SV539: $i,SV113: $i] :
( ( ( hBOOL @ ( hAPP @ SV113 @ SV539 ) )
| ~ ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV113 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV113 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1529]) ).
thf(1960,plain,
! [SV540: $i,SV114: $i] :
( ( ( hBOOL @ ( hAPP @ SV114 @ SV540 ) )
| ~ ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV114 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV114 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(1961,plain,
! [SV541: $i,SV115: $i] :
( ( ( hBOOL @ ( hAPP @ SV115 @ SV541 ) )
| ~ ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV115 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV115 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1531]) ).
thf(1962,plain,
! [SV542: $i,SV116: $i] :
( ( ( hBOOL @ ( hAPP @ SV116 @ SV542 ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV116 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV116 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1532]) ).
thf(1963,plain,
! [SV543: $i,SV117: $i] :
( ( ( hBOOL @ ( hAPP @ SV117 @ SV543 ) )
| ~ ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV117 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV117 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(1964,plain,
! [SV544: $i,SV118: $i] :
( ( ( hBOOL @ ( hAPP @ SV118 @ SV544 ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV118 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV118 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1534]) ).
thf(1965,plain,
! [SV545: $i,SV119: $i] :
( ( ( hBOOL @ ( hAPP @ SV119 @ SV545 ) )
| ~ ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV119 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV119 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1535]) ).
thf(1966,plain,
! [SV546: $i,SV120: $i] :
( ( ! [SY2712: $i,SY2713: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV120 )
| ( ( c_Finite__Set_Osetsum @ SV546 @ ( c_List_Oset @ SY2712 @ SY2713 ) @ SY2713 @ SV120 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV546 @ SY2712 @ SY2713 @ SV120 ) @ SV120 ) )
| ~ ( c_List_Odistinct @ SY2712 @ SY2713 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1967,plain,
! [SV547: $i,SV121: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Obutlast @ SV121 @ SV547 ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ SV121 @ SV547 ) @ ( c_List_Olist_ONil @ SV547 ) @ SV547 ) @ SV547 )
= SV121 )
| ( SV121
= ( c_List_Olist_ONil @ SV547 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(1968,plain,
! [SV548: $i,SV122: $i] :
( ( ! [SY2714: $i] :
( ( hAPP @ ( c_List_Orev @ SV122 ) @ ( c_List_Otake @ SV548 @ SY2714 @ SV122 ) )
= ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY2714 @ ( tc_List_Olist @ SV122 ) ) @ SV548 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV122 ) @ SY2714 ) @ SV122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1538]) ).
thf(1969,plain,
! [SV549: $i,SV123: $i] :
( ( ! [SY2715: $i] :
( ( hAPP @ ( c_List_Orev @ SV123 ) @ ( c_List_Odrop @ SV549 @ SY2715 @ SV123 ) )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY2715 @ ( tc_List_Olist @ SV123 ) ) @ SV549 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV123 ) @ SY2715 ) @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(1970,plain,
! [SV550: $i,SV124: $i] :
( ( ! [SY2716: $i] :
( ( ( c_Event_Oknows @ SV124 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV124 @ SV550 ) @ SY2716 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV550 @ ( c_Event_Oknows @ SV124 @ SY2716 ) @ tc_Message_Omsg ) )
| ( SV124 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1540]) ).
thf(1971,plain,
! [SV551: $i,SV125: $i] :
( ( ! [SY2717: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV125 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV551 @ SY2717 ) @ SV125 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(1972,plain,
! [SV552: $i,SV126: $i] :
( ( ! [SY2718: $i,SY2719: $i,SY2720: $i] :
( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV552 @ SY2718 @ SY2719 @ SY2720 @ t_a ) ) )
| ( SY2720 = c_Message_Oagent_OSpy )
| ( SY2720
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SY2718 @ SY2720 ) ) )
| ( SY2720 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1542]) ).
thf(1973,plain,
! [SV553: $i,SV127: $i] :
( ( ! [SY2721: $i,SY2722: $i,SY2723: $i,SY2724: $i,SY2725: $i,SY2726: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SV553 @ SY2721 @ SY2722 @ SY2723 )
= ( c_Message_Oagent_Oagent__case @ SY2724 @ SY2725 @ SY2726 @ SY2722 @ SY2723 ) )
| ( SY2722 = c_Message_Oagent_OSpy )
| ( SY2722
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2722 @ SV553 @ SY2725 @ SY2723 ) ) )
| ( SY2722 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1543]) ).
thf(1974,plain,
! [SV554: $i,SV128: $i] :
( ( ! [SY2727: $i,SY2728: $i,SY2729: $i] :
( ( hBOOL @ ( hAPP @ SV128 @ ( c_Message_Oagent_Oagent__case @ SV554 @ SY2727 @ SY2728 @ SY2729 @ t_a ) ) )
| ( SY2729 = c_Message_Oagent_OSpy )
| ( SY2729
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV128 @ SY2727 @ SY2729 ) ) )
| ( SY2729 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(1975,plain,
! [SV555: $i,SV129: $i] :
( ( ! [SY2730: $i] :
( ( c_List_Orotate @ SV129 @ SV555 @ SY2730 )
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Divides_Odiv__class_Omod @ SV129 @ ( c_Nat_Osize__class_Osize @ SV555 @ ( tc_List_Olist @ SY2730 ) ) @ tc_nat ) @ SV555 @ SY2730 ) @ ( c_List_Otake @ ( c_Divides_Odiv__class_Omod @ SV129 @ ( c_Nat_Osize__class_Osize @ SV555 @ ( tc_List_Olist @ SY2730 ) ) @ tc_nat ) @ SV555 @ SY2730 ) @ SY2730 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1545]) ).
thf(1976,plain,
! [SV556: $i,SV130: $i] :
( ( ( ( c_List_Orotate1 @ SV130 @ SV556 )
= ( c_List_Oappend @ ( c_List_Otl @ SV130 @ SV556 ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV130 @ SV556 ) @ ( c_List_Olist_ONil @ SV556 ) @ SV556 ) @ SV556 ) )
| ( SV130
= ( c_List_Olist_ONil @ SV556 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1546]) ).
thf(1977,plain,
! [SV557: $i,SV131: $i] :
( ( ! [SY2731: $i] :
( ~ ( class_Orderings_Olinorder @ SV131 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SV557 @ SY2731 @ SV131 ) @ SV131 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2731 @ SV131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1547]) ).
thf(1978,plain,
! [SV558: $i,SV132: $i] :
( ( ! [SY2732: $i,SY2733: $i,SY2734: $i] :
( ( c_List_Otake @ SV132 @ ( c_List_Omap @ SV558 @ SY2732 @ SY2733 @ SY2734 ) @ SY2734 )
= ( c_List_Omap @ SV558 @ ( c_List_Otake @ SV132 @ SY2732 @ SY2733 ) @ SY2733 @ SY2734 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1548]) ).
thf(1979,plain,
! [SV559: $i,SV133: $i] :
( ( ! [SY2735: $i] :
( ( c_List_Oremdups @ ( c_List_Ofilter @ SV133 @ SV559 @ SY2735 ) @ SY2735 )
= ( c_List_Ofilter @ SV133 @ ( c_List_Oremdups @ SV559 @ SY2735 ) @ SY2735 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1549]) ).
thf(1980,plain,
! [SV560: $i,SV134: $i] :
( ( ! [SY2736: $i,SY2737: $i,SY2738: $i,SY2739: $i] :
( ( c_List_Olist__all2 @ SV134 @ ( c_List_Otake @ SV560 @ SY2736 @ SY2737 ) @ ( c_List_Otake @ SV560 @ SY2738 @ SY2739 ) @ SY2737 @ SY2739 )
| ~ ( c_List_Olist__all2 @ SV134 @ SY2736 @ SY2738 @ SY2737 @ SY2739 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1550]) ).
thf(1981,plain,
! [SV561: $i,SV135: $i] :
( ( ! [SY2740: $i,SY2741: $i] :
( ( c_Fun_Oinj__on @ SV135 @ ( c_List_Oset @ SV561 @ SY2740 ) @ SY2740 @ SY2741 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SV135 @ SV561 @ SY2740 @ SY2741 ) @ SY2741 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1982,plain,
! [SV562: $i,SV136: $i] :
( ( ! [SY2742: $i] :
( ( SV136 = SV562 )
| ~ ( c_List_Olist__all2 @ ( c_fequal @ SY2742 ) @ SV136 @ SV562 @ SY2742 @ SY2742 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1552]) ).
thf(1983,plain,
! [SV563: $i,SV137: $i] :
( ( ! [SY2743: $i,SY2744: $i,SY2745: $i,SY2746: $i] :
( ( c_List_Ofoldl @ SV137 @ SV563 @ ( c_List_Olist_OCons @ SY2743 @ SY2744 @ SY2745 ) @ SY2746 @ SY2745 )
= ( c_List_Ofoldl @ SV137 @ ( hAPP @ ( hAPP @ SV137 @ SV563 ) @ SY2743 ) @ SY2744 @ SY2746 @ SY2745 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(1984,plain,
! [SV564: $i,SV138: $i] :
( ( ! [SY2747: $i,SY2748: $i] :
( ~ ( class_Orderings_Olinorder @ SV138 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV564 @ SY2747 @ SV138 ) @ SV138 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2748 @ ( c_List_Olist_OCons @ SV564 @ SY2747 @ SV138 ) @ SV138 ) @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(1985,plain,
! [SV565: $i,SV139: $i] :
( ( ! [SY2749: $i,SY2750: $i,SY2751: $i,SY2752: $i,SY2753: $i] :
( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SV565 @ SY2749 @ SY2750 ) @ ( c_List_Oappend @ SY2751 @ SY2752 @ SY2753 ) @ SY2750 @ SY2753 )
| ~ ( c_List_Olist__all2 @ SV139 @ SY2749 @ SY2752 @ SY2750 @ SY2753 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV565 @ SY2751 @ SY2750 @ SY2753 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(1986,plain,
! [SV566: $i,SV140: $i] :
( ( ! [SY2754: $i,SY2755: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV140 @ SV566 @ SY2754 ) @ SY2755 @ SY2754 )
= ( c_List_Olist_OCons @ SV140 @ ( c_List_Oappend @ SV566 @ SY2755 @ SY2754 ) @ SY2754 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(1987,plain,
! [SV567: $i,SV141: $i] :
( ( ! [SY2756: $i,SY2757: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV141 @ SV567 @ SY2756 ) @ SY2757 @ SY2756 )
= ( c_List_Olist_OCons @ SV141 @ ( c_List_Oappend @ SV567 @ SY2757 @ SY2756 ) @ SY2756 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(1988,plain,
! [SV568: $i,SV142: $i] :
( ( ! [SY2758: $i] :
( ~ ( hBOOL @ ( hAPP @ SV142 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV142 @ SV568 @ SY2758 ) @ SY2758 ) ) )
| ( ( c_List_OdropWhile @ SV142 @ SV568 @ SY2758 )
= ( c_List_Olist_ONil @ SY2758 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(1989,plain,
! [SV569: $i,SV143: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV143 @ SV569 ) @ SV569 )
| ~ ( c_List_Odistinct @ SV143 @ SV569 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(1990,plain,
! [SV570: $i,SV144: $i] :
( ( ( c_List_Odistinct @ SV144 @ SV570 )
| ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ SV144 @ SV570 ) @ SV570 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(1991,plain,
! [SV571: $i,SV145: $i] :
( ( ! [SY2759: $i] :
( SV145
= ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV571 @ ( tc_List_Olist @ SY2759 ) ) @ ( c_List_Oappend @ SV571 @ SV145 @ SY2759 ) @ SY2759 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(1992,plain,
! [SV572: $i,SV146: $i] :
( ( ! [SY2760: $i] :
( ( c_List_Odistinct @ ( c_List_Ofilter @ SV146 @ SV572 @ SY2760 ) @ SY2760 )
| ~ ( c_List_Odistinct @ SV572 @ SY2760 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1562]) ).
thf(1993,plain,
! [SV573: $i,SV147: $i] :
( ( ! [SY2761: $i,SY2762: $i,SY2763: $i] :
( ( c_List_Omap @ SV147 @ ( c_List_Olist_OCons @ SV573 @ SY2761 @ SY2762 ) @ SY2762 @ SY2763 )
= ( c_List_Olist_OCons @ ( hAPP @ SV147 @ SV573 ) @ ( c_List_Omap @ SV147 @ SY2761 @ SY2762 @ SY2763 ) @ SY2763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1563]) ).
thf(1994,plain,
! [SV574: $i,SV148: $i] :
( ( ! [SY2764: $i,SY2765: $i,SY2766: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ SV148 @ SV574 ) @ ( c_List_Omap @ SV148 @ SY2764 @ SY2765 @ SY2766 ) @ SY2766 )
= ( c_List_Omap @ SV148 @ ( c_List_Olist_OCons @ SV574 @ SY2764 @ SY2765 ) @ SY2765 @ SY2766 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1564]) ).
thf(1995,plain,
! [SV575: $i,SV149: $i] :
( ( ! [SY2767: $i,SY2768: $i,SY2769: $i] :
( ( c_List_Omap @ SV149 @ ( c_List_Olist_OCons @ SV575 @ SY2767 @ SY2768 ) @ SY2768 @ SY2769 )
= ( c_List_Olist_OCons @ ( hAPP @ SV149 @ SV575 ) @ ( c_List_Omap @ SV149 @ SY2767 @ SY2768 @ SY2769 ) @ SY2769 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1565]) ).
thf(1996,plain,
! [SV576: $i,SV150: $i] :
( ( ! [SY2770: $i,SY2771: $i,SY2772: $i,SY2773: $i] :
( ( c_List_Olist_Olist__case @ SV150 @ SV576 @ ( c_List_Olist_OCons @ SY2770 @ SY2771 @ SY2772 ) @ SY2773 @ SY2772 )
= ( hAPP @ ( hAPP @ SV576 @ SY2770 ) @ SY2771 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1566]) ).
thf(1997,plain,
! [SV577: $i,SV151: $i] :
( ( ! [SY2774: $i] :
( ( c_List_Oremove1 @ SV151 @ ( c_List_Olist_OCons @ SV151 @ SV577 @ SY2774 ) @ SY2774 )
= SV577 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(1998,plain,
! [SV578: $i,SV152: $i] :
( ( ! [SY2775: $i,SY2776: $i,SY2777: $i,SY2778: $i,SY2779: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV152 @ SV578 ) @ SY2775 ) )
| ~ ( c_List_Olist__all2 @ SV152 @ ( c_List_Olist_OCons @ SV578 @ SY2776 @ SY2777 ) @ ( c_List_Olist_OCons @ SY2775 @ SY2778 @ SY2779 ) @ SY2777 @ SY2779 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1568]) ).
thf(1999,plain,
! [SV579: $i,SV153: $i] :
( ( ! [SY2780: $i,SY2781: $i] :
( ( c_List_Olist_OCons @ SV153 @ ( c_List_Oappend @ SV579 @ SY2780 @ SY2781 ) @ SY2781 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV153 @ SV579 @ SY2781 ) @ SY2780 @ SY2781 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1569]) ).
thf(2000,plain,
! [SV580: $i,SV154: $i] :
( ( ! [SY2782: $i,SY2783: $i] :
( ( c_List_Olist_OCons @ SV154 @ ( c_List_Oappend @ SV580 @ SY2782 @ SY2783 ) @ SY2783 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV154 @ SV580 @ SY2783 ) @ SY2782 @ SY2783 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1570]) ).
thf(2001,plain,
! [SV581: $i,SV155: $i] :
( ( ! [SY2784: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV155 @ SV581 @ SY2784 ) @ SY2784 )
= ( c_List_Olast @ SV581 @ SY2784 ) )
| ( SV581
= ( c_List_Olist_ONil @ SY2784 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1571]) ).
thf(2002,plain,
! [SV582: $i,SV156: $i] :
( ( ! [SY2785: $i,SY2786: $i] :
( ( c_Message_Oagent_Oagent__case @ SV156 @ SV582 @ SY2785 @ c_Message_Oagent_OServer @ SY2786 )
= SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(2003,plain,
! [SV583: $i,SV157: $i] :
( ( ! [SY2787: $i,SY2788: $i] :
( ( c_List_Odistinct @ ( c_List_Omap @ SV157 @ SV583 @ SY2787 @ SY2788 ) @ SY2788 )
| ~ ( c_Fun_Oinj__on @ SV157 @ ( c_List_Oset @ SV583 @ SY2787 ) @ SY2787 @ SY2788 )
| ~ ( c_List_Odistinct @ SV583 @ SY2787 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1573]) ).
thf(2004,plain,
! [SV584: $i,SV158: $i] :
( ( ! [SY2789: $i] :
( ( c_List_Oappend @ ( c_List_Otake @ SV158 @ SV584 @ SY2789 ) @ ( c_List_Odrop @ SV158 @ SV584 @ SY2789 ) @ SY2789 )
= SV584 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(2005,plain,
! [SV585: $i,SV159: $i] :
( ( ! [SY2790: $i] :
( ~ ( class_Orderings_Olinorder @ SV159 )
| ( c_List_Olinorder__class_Osorted @ SV585 @ SV159 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2790 @ SV585 @ SV159 ) @ SV159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1575]) ).
thf(2006,plain,
! [SV586: $i,SV160: $i] :
( ( ! [SY2791: $i] :
( ( c_List_Odistinct @ ( c_List_Odrop @ SV160 @ SV586 @ SY2791 ) @ SY2791 )
| ~ ( c_List_Odistinct @ SV586 @ SY2791 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1576]) ).
thf(2007,plain,
! [SV587: $i,SV161: $i] :
( ( ! [SY2792: $i,SY2793: $i] :
( ( c_List_Olist__all @ SV161 @ SV587 @ SY2792 )
| ~ ( c_List_Olist__all @ SV161 @ ( c_List_Olist_OCons @ SY2793 @ SV587 @ SY2792 ) @ SY2792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1577]) ).
thf(2008,plain,
! [SV588: $i,SV162: $i] :
( ( ( ( c_List_Oremdups @ SV162 @ SV588 )
= SV162 )
| ~ ( c_List_Odistinct @ SV162 @ SV588 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1578]) ).
thf(2009,plain,
! [SV589: $i,SV163: $i] :
( ( ! [SY2794: $i,SY2795: $i] :
( ( hBOOL @ ( hAPP @ SV163 @ SV589 ) )
| ~ ( c_List_Olist__all @ SV163 @ ( c_List_Olist_OCons @ SV589 @ SY2794 @ SY2795 ) @ SY2795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(2010,plain,
! [SV590: $i,SV164: $i] :
( ( ! [SY2796: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ SV164 @ SV590 @ SY2796 ) @ SY2796 )
= ( c_List_Ohd @ SV164 @ SY2796 ) )
| ( SV164
= ( c_List_Olist_ONil @ SY2796 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(2011,plain,
! [SV591: $i,SV165: $i] :
( ( ! [SY2797: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ SV165 @ SV591 @ SY2797 ) @ SY2797 )
= ( c_List_Oappend @ SV591 @ ( c_List_Olist_OCons @ SV165 @ ( c_List_Olist_ONil @ SY2797 ) @ SY2797 ) @ SY2797 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(2012,plain,
! [SV592: $i,SV166: $i] :
( ( ! [SY2798: $i,SY2799: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ SV166 @ SV592 @ SY2798 @ SY2799 ) @ ( tc_List_Olist @ SY2799 ) )
= ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SY2799 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1582]) ).
thf(2013,plain,
! [SV593: $i,SV167: $i] :
( ( ! [SY2800: $i] :
( ( c_List_Olist_OCons @ SV167 @ SV593 @ SY2800 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2800 ) @ ( c_List_Olist_OCons @ SV167 @ SV593 @ SY2800 ) @ SY2800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(2014,plain,
! [SV594: $i,SV168: $i] :
( ( ! [SY2801: $i,SY2802: $i,SY2803: $i,SY2804: $i] :
( ( c_List_Omap @ SV168 @ ( c_List_Olist__update @ SV594 @ SY2801 @ SY2802 @ SY2803 ) @ SY2803 @ SY2804 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV168 @ SV594 @ SY2803 @ SY2804 ) @ SY2801 @ ( hAPP @ SV168 @ SY2802 ) @ SY2804 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1584]) ).
thf(2015,plain,
! [SV595: $i,SV169: $i] :
( ( ! [SY2805: $i,SY2806: $i,SY2807: $i] :
( ( c_Message_Oagent_Oagent__case @ SV169 @ SV595 @ SY2805 @ ( c_Message_Oagent_OFriend @ SY2806 ) @ SY2807 )
= ( hAPP @ SV595 @ SY2806 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1585]) ).
thf(2016,plain,
! [SV596: $i,SV170: $i] :
( ( ! [SY2808: $i,SY2809: $i] :
( ( c_List_Olist__all @ SV170 @ ( c_List_Oappend @ SV596 @ SY2808 @ SY2809 ) @ SY2809 )
| ~ ( c_List_Olist__all @ SV170 @ SY2808 @ SY2809 )
| ~ ( c_List_Olist__all @ SV170 @ SV596 @ SY2809 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1586]) ).
thf(2017,plain,
! [SV597: $i,SV171: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV171 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV597 @ ( c_List_Olist_ONil @ SV171 ) @ SV171 ) @ SV171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1587]) ).
thf(2018,plain,
! [SV598: $i,SV172: $i] :
( ( ! [SY2810: $i] :
( ( c_List_Odistinct @ ( c_List_Otake @ SV172 @ SV598 @ SY2810 ) @ SY2810 )
| ~ ( c_List_Odistinct @ SV598 @ SY2810 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1588]) ).
thf(2019,plain,
! [SV599: $i,SV173: $i] :
( ( ! [SY2811: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV173 @ SV599 @ SY2811 ) @ ( c_List_Olist_OCons @ SV599 @ ( c_List_Olist_ONil @ SY2811 ) @ SY2811 ) @ SY2811 )
= ( c_List_Olist_OCons @ SV599 @ ( c_List_Oreplicate @ SV173 @ SV599 @ SY2811 ) @ SY2811 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(2020,plain,
! [SV600: $i,SV174: $i] :
( ( ! [SY2812: $i,SY2813: $i,SY2814: $i,SY2815: $i] :
( ( c_List_Ofoldl @ SV174 @ SV600 @ ( c_List_Oappend @ SY2812 @ SY2813 @ SY2814 ) @ SY2815 @ SY2814 )
= ( c_List_Ofoldl @ SV174 @ ( c_List_Ofoldl @ SV174 @ SV600 @ SY2812 @ SY2815 @ SY2814 ) @ SY2813 @ SY2815 @ SY2814 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(2021,plain,
! [SV601: $i,SV175: $i] :
( ( ! [SY2816: $i] :
( ( c_List_Odistinct @ SV175 @ SV601 )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SY2816 @ SV175 @ SV601 ) @ SV601 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(2022,plain,
! [SV602: $i,SV176: $i] :
( ( ! [SY2817: $i,SY2818: $i] :
( ( c_List_Ofilter @ SV176 @ ( c_List_Oappend @ SV602 @ SY2817 @ SY2818 ) @ SY2818 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV176 @ SV602 @ SY2818 ) @ ( c_List_Ofilter @ SV176 @ SY2817 @ SY2818 ) @ SY2818 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(2023,plain,
! [SV603: $i,SV178: $i] :
( ( ! [SY2819: $i] : ( c_List_Olist__all2 @ SV178 @ ( c_List_Olist_ONil @ SV603 ) @ ( c_List_Olist_ONil @ SY2819 ) @ SV603 @ SY2819 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1594]) ).
thf(2024,plain,
! [SV604: $i,SV179: $i] :
( ( ( SV179
= ( c_List_Olist_ONil @ SV604 ) )
| ~ ( c_List_Onull @ SV179 @ SV604 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(2025,plain,
! [SV605: $i,SV181: $i] :
( ( ! [SY2820: $i,SY2821: $i] :
( ( SV181
= ( c_List_Olist_ONil @ SV605 ) )
| ~ ( c_List_Olist__all2 @ SY2820 @ SV181 @ ( c_List_Olist_ONil @ SY2821 ) @ SV605 @ SY2821 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(2026,plain,
! [SV606: $i,SV182: $i] :
( ( ! [SY2822: $i,SY2823: $i] :
( ( SV182
= ( c_List_Olist_ONil @ SV606 ) )
| ~ ( c_List_Olist__all2 @ SY2822 @ ( c_List_Olist_ONil @ SY2823 ) @ SV182 @ SY2823 @ SV606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1598]) ).
thf(2027,plain,
! [SV607: $i,SV184: $i] :
( ( ! [SY2824: $i,SY2825: $i] :
( ( ( c_List_Ofilter @ SV184 @ ( c_List_Olist_OCons @ SV607 @ SY2824 @ SY2825 ) @ SY2825 )
= ( c_List_Olist_OCons @ SV607 @ ( c_List_Ofilter @ SV184 @ SY2824 @ SY2825 ) @ SY2825 ) )
| ~ ( hBOOL @ ( hAPP @ SV184 @ SV607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1600]) ).
thf(2028,plain,
! [SV608: $i,SV185: $i] :
( ( ! [SY2826: $i,SY2827: $i] :
( ( c_List_Olistsp @ SV185 @ SV608 @ SY2826 )
| ~ ( c_List_Olistsp @ SV185 @ ( c_List_Oappend @ SV608 @ SY2827 @ SY2826 ) @ SY2826 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1601]) ).
thf(2029,plain,
! [SV609: $i,SV186: $i] :
( ( ! [SY2828: $i,SY2829: $i] :
( ( c_List_Olistsp @ SV186 @ SV609 @ SY2828 )
| ~ ( c_List_Olistsp @ SV186 @ ( c_List_Oappend @ SY2829 @ SV609 @ SY2828 ) @ SY2828 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1602]) ).
thf(2030,plain,
! [SV610: $i,SV187: $i] :
( ( ! [SY2830: $i] :
( ~ ( class_Orderings_Olinorder @ SV187 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SV610 @ SY2830 @ SV187 ) @ SV187 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2830 @ SV187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1603]) ).
thf(2031,plain,
! [SV611: $i,SV188: $i] :
( ( ! [SY2831: $i,SY2832: $i,SY2833: $i,SY2834: $i,SY2835: $i] :
( ( c_List_Olist__all2 @ SV188 @ SV611 @ SY2831 @ SY2832 @ SY2833 )
| ~ ( c_List_Olist__all2 @ SV188 @ ( c_List_Olist_OCons @ SY2834 @ SV611 @ SY2832 ) @ ( c_List_Olist_OCons @ SY2835 @ SY2831 @ SY2833 ) @ SY2832 @ SY2833 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(2032,plain,
! [SV612: $i,SV189: $i] :
( ( ! [SY2836: $i,SY2837: $i,SY2838: $i] :
( ( c_List_Orotate @ SV189 @ ( c_List_Omap @ SV612 @ SY2836 @ SY2837 @ SY2838 ) @ SY2838 )
= ( c_List_Omap @ SV612 @ ( c_List_Orotate @ SV189 @ SY2836 @ SY2837 ) @ SY2837 @ SY2838 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(2033,plain,
! [SV613: $i,SV190: $i] :
( ( ! [SY2839: $i] :
( ( c_List_Odistinct @ SV190 @ SV613 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV190 @ SY2839 @ SV613 ) @ SV613 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1606]) ).
thf(2034,plain,
! [SV614: $i,SV191: $i] :
( ( ! [SY2840: $i] :
( ( c_List_Odistinct @ SV191 @ SV614 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SY2840 @ SV191 @ SV614 ) @ SV614 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1607]) ).
thf(2035,plain,
! [SV615: $i,SV192: $i] :
( ( ! [SY2841: $i] :
( SV192
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV192 @ ( tc_List_Olist @ SV615 ) ) @ ( c_List_Oappend @ SV192 @ SY2841 @ SV615 ) @ SV615 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(2036,plain,
! [SV616: $i,SV193: $i] :
( ( ! [SY2842: $i,SY2843: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ SV193 @ SV616 @ SY2842 @ SY2843 ) @ ( tc_List_Olist @ SY2843 ) )
= ( c_Nat_Osize__class_Osize @ SV616 @ ( tc_List_Olist @ SY2842 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1609]) ).
thf(2037,plain,
! [SV617: $i,SV194: $i] :
( ( ! [SY2844: $i] :
( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV194 @ SV617 @ SY2844 ) @ SY2844 )
| ~ ( c_List_Odistinct @ SV617 @ SY2844 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(2038,plain,
! [SV618: $i,SV195: $i] :
( ( ! [SY2845: $i,SY2846: $i,SY2847: $i] :
( ( c_List_Omap @ SV195 @ ( c_List_Oreplicate @ SV618 @ SY2845 @ SY2846 ) @ SY2846 @ SY2847 )
= ( c_List_Oreplicate @ SV618 @ ( hAPP @ SV195 @ SY2845 ) @ SY2847 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1611]) ).
thf(2039,plain,
! [SV619: $i,SV196: $i] :
( ( ! [SY2848: $i,SY2849: $i,SY2850: $i,SY2851: $i] :
( ( c_List_Ofoldr @ SV196 @ ( c_List_Oappend @ SV619 @ SY2848 @ SY2849 ) @ SY2850 @ SY2849 @ SY2851 )
= ( c_List_Ofoldr @ SV196 @ SV619 @ ( c_List_Ofoldr @ SV196 @ SY2848 @ SY2850 @ SY2849 @ SY2851 ) @ SY2849 @ SY2851 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1612]) ).
thf(2040,plain,
! [SV620: $i,SV197: $i] :
( ( ! [SY2852: $i,SY2853: $i] :
( ( c_List_Olist__ex @ SV197 @ ( c_List_Olist_OCons @ SV620 @ SY2852 @ SY2853 ) @ SY2853 )
| ~ ( hBOOL @ ( hAPP @ SV197 @ SV620 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1613]) ).
thf(2041,plain,
! [SV621: $i,SV198: $i] :
( ( ! [SY2854: $i,SY2855: $i,SY2856: $i,SY2857: $i,SY2858: $i] :
( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SV621 @ SY2854 @ SY2855 ) @ ( c_List_Olist_OCons @ SY2856 @ SY2857 @ SY2858 ) @ SY2855 @ SY2858 )
| ~ ( c_List_Olist__all2 @ SV198 @ SY2854 @ SY2857 @ SY2855 @ SY2858 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SV621 ) @ SY2856 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(2042,plain,
! [SV622: $i,SV199: $i] :
( ( ! [SY2859: $i,SY2860: $i,SY2861: $i,SY2862: $i,SY2863: $i] :
( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SV622 @ SY2859 @ SY2860 ) @ ( c_List_Olist_OCons @ SY2861 @ SY2862 @ SY2863 ) @ SY2860 @ SY2863 )
| ~ ( c_List_Olist__all2 @ SV199 @ SY2859 @ SY2862 @ SY2860 @ SY2863 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SV622 ) @ SY2861 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1615]) ).
thf(2043,plain,
! [SV623: $i,SV200: $i] :
( ( ! [SY2864: $i,SY2865: $i,SY2866: $i,SY2867: $i,SY2868: $i] :
( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SV623 @ SY2864 @ SY2865 ) @ ( c_List_Olist_OCons @ SY2866 @ SY2867 @ SY2868 ) @ SY2865 @ SY2868 )
| ~ ( c_List_Olist__all2 @ SV200 @ SY2864 @ SY2867 @ SY2865 @ SY2868 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SV623 ) @ SY2866 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(2044,plain,
! [SV624: $i,SV201: $i] :
( ( ! [SY2869: $i,SY2870: $i] :
( ( c_List_Olist__ex @ SV201 @ ( c_List_Olist_OCons @ SV624 @ SY2869 @ SY2870 ) @ SY2870 )
| ~ ( c_List_Olist__ex @ SV201 @ SY2869 @ SY2870 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1617]) ).
thf(2045,plain,
! [SV625: $i,SV202: $i] :
( ( ! [SY2871: $i,SY2872: $i] :
( ( c_List_Olist__ex @ SV202 @ SV625 @ SY2871 )
| ( hBOOL @ ( hAPP @ SV202 @ SY2872 ) )
| ~ ( c_List_Olist__ex @ SV202 @ ( c_List_Olist_OCons @ SY2872 @ SV625 @ SY2871 ) @ SY2871 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1618]) ).
thf(2046,plain,
! [SV626: $i,SV203: $i] :
( ( ! [SY2873: $i,SY2874: $i,SY2875: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV203 @ ( tc_List_Olist @ SV626 ) )
= ( c_Nat_Osize__class_Osize @ SY2873 @ ( tc_List_Olist @ SY2874 ) ) )
| ~ ( c_List_Olist__all2 @ SY2875 @ SV203 @ SY2873 @ SV626 @ SY2874 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(2047,plain,
! [SV627: $i,SV204: $i] :
( ( ! [SY2876: $i,SY2877: $i] :
( ( ( c_List_Ofilter @ SV204 @ ( c_List_Oreplicate @ SV627 @ SY2876 @ SY2877 ) @ SY2877 )
= ( c_List_Oreplicate @ SV627 @ SY2876 @ SY2877 ) )
| ~ ( hBOOL @ ( hAPP @ SV204 @ SY2876 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1620]) ).
thf(2048,plain,
! [SV628: $i,SV205: $i] :
( ( ! [SY2878: $i,SY2879: $i,SY2880: $i,SY2881: $i] :
( ( c_List_Olistrelp @ SV205 @ ( c_List_Olist_OCons @ SV628 @ SY2878 @ SY2879 ) @ ( c_List_Olist_OCons @ SY2880 @ SY2881 @ SY2879 ) @ SY2879 )
| ~ ( c_List_Olistrelp @ SV205 @ SY2878 @ SY2881 @ SY2879 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV205 @ SV628 ) @ SY2880 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1621]) ).
thf(2049,plain,
! [SV629: $i,SV206: $i] :
( ( ! [SY2882: $i,SY2883: $i] :
( ( ( c_List_Oremove1 @ SV206 @ ( c_List_Olist_OCons @ SV629 @ SY2882 @ SY2883 ) @ SY2883 )
= ( c_List_Olist_OCons @ SV629 @ ( c_List_Oremove1 @ SV206 @ SY2882 @ SY2883 ) @ SY2883 ) )
| ( SV206 = SV629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1622]) ).
thf(2050,plain,
! [SV630: $i,SV207: $i] :
( ( ! [SY2884: $i] :
( ( c_List_Odistinct @ ( c_List_Osublist @ SV207 @ SV630 @ SY2884 ) @ SY2884 )
| ~ ( c_List_Odistinct @ SV207 @ SY2884 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(2051,plain,
! [SV631: $i,SV208: $i] :
( ( ! [SY2885: $i] :
( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV208 @ SV631 @ SY2885 ) @ SY2885 )
| ~ ( c_List_Odistinct @ SV631 @ SY2885 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(2052,plain,
! [SV632: $i,SV209: $i] :
( ( ! [SY2886: $i,SY2887: $i] :
( ( ( c_List_OdropWhile @ SV209 @ ( c_List_Olist_OCons @ SV632 @ SY2886 @ SY2887 ) @ SY2887 )
= ( c_List_OdropWhile @ SV209 @ SY2886 @ SY2887 ) )
| ~ ( hBOOL @ ( hAPP @ SV209 @ SV632 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1625]) ).
thf(2053,plain,
! [SV633: $i,SV210: $i] :
( ( ! [SY2888: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate @ SV210 @ SV633 @ SY2888 ) @ ( tc_List_Olist @ SY2888 ) )
= ( c_Nat_Osize__class_Osize @ SV633 @ ( tc_List_Olist @ SY2888 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(2054,plain,
! [SV634: $i,SV211: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate1 @ SV211 @ SV634 ) @ ( tc_List_Olist @ SV634 ) )
= ( c_Nat_Osize__class_Osize @ SV211 @ ( tc_List_Olist @ SV634 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(2055,plain,
! [SV635: $i,SV212: $i] :
( ( ! [SY2889: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV212 @ SV635 @ SY2889 ) @ SY2889 )
= ( c_List_Olast @ SV635 @ SY2889 ) )
| ( SV635
= ( c_List_Olist_ONil @ SY2889 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(2056,plain,
! [SV636: $i,SV213: $i] :
( ( ! [SY2890: $i,SY2891: $i] :
( ( ( c_List_OdropWhile @ SV213 @ ( c_List_Olist_OCons @ SV636 @ SY2890 @ SY2891 ) @ SY2891 )
= ( c_List_Olist_OCons @ SV636 @ SY2890 @ SY2891 ) )
| ( hBOOL @ ( hAPP @ SV213 @ SV636 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1629]) ).
thf(2057,plain,
! [SV637: $i,SV214: $i] :
( ( ! [SY2892: $i,SY2893: $i,SY2894: $i] :
( ( c_List_Omap @ SV214 @ ( c_List_Oappend @ SV637 @ SY2892 @ SY2893 ) @ SY2893 @ SY2894 )
= ( c_List_Oappend @ ( c_List_Omap @ SV214 @ SV637 @ SY2893 @ SY2894 ) @ ( c_List_Omap @ SV214 @ SY2892 @ SY2893 @ SY2894 ) @ SY2894 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1630]) ).
thf(2058,plain,
! [SV638: $i,SV215: $i] :
( ( ! [SY2895: $i,SY2896: $i] :
( ~ ( hBOOL @ ( hAPP @ SV215 @ ( c_Message_Oagent_Oagent__case @ SV638 @ SY2895 @ SY2896 @ c_Message_Oagent_OServer @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV215 @ SV638 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(2059,plain,
! [SV639: $i,SV216: $i] :
( ( ! [SY2897: $i,SY2898: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV216 @ SV639 @ SY2897 ) @ ( c_List_Oreplicate @ SY2898 @ SV639 @ SY2897 ) @ SY2897 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SY2898 @ SV639 @ SY2897 ) @ ( c_List_Oreplicate @ SV216 @ SV639 @ SY2897 ) @ SY2897 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(2060,plain,
! [SV640: $i,SV217: $i] :
( ( ! [SY2899: $i,SY2900: $i,SY2901: $i,SY2902: $i] :
( ( c_List_Olist__all2 @ SV217 @ ( c_List_Odrop @ SV640 @ SY2899 @ SY2900 ) @ ( c_List_Odrop @ SV640 @ SY2901 @ SY2902 ) @ SY2900 @ SY2902 )
| ~ ( c_List_Olist__all2 @ SV217 @ SY2899 @ SY2901 @ SY2900 @ SY2902 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(2061,plain,
! [SV641: $i,SV218: $i] :
( ( ( c_List_Oset @ ( c_List_Orotate1 @ SV218 @ SV641 ) @ SV641 )
= ( c_List_Oset @ SV218 @ SV641 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1634]) ).
thf(2062,plain,
! [SV642: $i,SV219: $i] :
( ( ! [SY2903: $i,SY2904: $i] :
( ( ( c_List_Oremove1 @ SV219 @ ( c_List_Ofilter @ SV642 @ SY2903 @ SY2904 ) @ SY2904 )
= ( c_List_Ofilter @ SV642 @ SY2903 @ SY2904 ) )
| ( hBOOL @ ( hAPP @ SV642 @ SV219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(2063,plain,
! [SV643: $i,SV220: $i] :
( ( ! [SY2905: $i,SY2906: $i] :
( ( ( c_List_Ofilter @ SV220 @ ( c_List_Oreplicate @ SV643 @ SY2905 @ SY2906 ) @ SY2906 )
= ( c_List_Olist_ONil @ SY2906 ) )
| ( hBOOL @ ( hAPP @ SV220 @ SY2905 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1636]) ).
thf(2064,plain,
! [SV644: $i,SV221: $i] :
( ( ! [SY2907: $i,SY2908: $i,SY2909: $i,SY2910: $i] :
( ( c_List_Olist_Olist__rec @ SV221 @ SV644 @ ( c_List_Olist_OCons @ SY2907 @ SY2908 @ SY2909 ) @ SY2910 @ SY2909 )
= ( hAPP @ ( hAPP @ ( hAPP @ SV644 @ SY2907 ) @ SY2908 ) @ ( c_List_Olist_Olist__rec @ SV221 @ SV644 @ SY2908 @ SY2910 @ SY2909 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1637]) ).
thf(2065,plain,
! [SV645: $i,SV222: $i] :
( ( ! [SY2911: $i] :
( ( c_List_Oset @ ( c_List_Orotate @ SV222 @ SV645 @ SY2911 ) @ SY2911 )
= ( c_List_Oset @ SV645 @ SY2911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1638]) ).
thf(2066,plain,
! [SV646: $i,SV223: $i] :
( ( ! [SY2912: $i,SY2913: $i] :
( ( c_List_Odistinct @ SV223 @ SV646 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SY2912 @ SV223 @ SV646 @ SY2913 ) @ SY2913 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1639]) ).
thf(2067,plain,
! [SV647: $i,SV224: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV224 @ ( c_List_Olist_ONil @ SV647 ) @ SV647 ) @ SV647 )
= SV224 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1640]) ).
thf(2068,plain,
! [SV648: $i,SV225: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV225 @ ( c_List_Olist_ONil @ SV648 ) @ SV648 ) @ SV648 )
= ( c_List_Olast @ SV225 @ SV648 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(2069,plain,
! [SV649: $i,SV226: $i] :
( ( ! [SY2914: $i] :
( ( c_List_Odistinct @ SV226 @ SV649 )
| ~ ( c_List_Odistinct @ ( c_List_Orotate @ SY2914 @ SV226 @ SV649 ) @ SV649 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1642]) ).
thf(2070,plain,
! [SV650: $i,SV227: $i] :
( ( ! [SY2915: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate @ SV227 @ SV650 @ SY2915 ) @ SY2915 )
| ~ ( c_List_Odistinct @ SV650 @ SY2915 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1643]) ).
thf(2071,plain,
! [SV651: $i,SV228: $i] :
( ( ! [SY2916: $i,SY2917: $i] :
( ( c_List_Olistsp @ SV228 @ ( c_List_Oappend @ SV651 @ SY2916 @ SY2917 ) @ SY2917 )
| ~ ( c_List_Olistsp @ SV228 @ SY2916 @ SY2917 )
| ~ ( c_List_Olistsp @ SV228 @ SV651 @ SY2917 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(2072,plain,
! [SV652: $i,SV229: $i] :
( ( ! [SY2918: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Oreplicate @ SV229 @ SV652 @ SY2918 ) @ ( tc_List_Olist @ SY2918 ) )
= SV229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(2073,plain,
! [SV653: $i,SV230: $i] :
( ( ! [SY2919: $i,SY2920: $i,SY2921: $i] :
( ~ ( hBOOL @ ( hAPP @ SV230 @ ( c_Message_Oagent_Oagent__case @ SV653 @ SY2919 @ SY2920 @ ( c_Message_Oagent_OFriend @ SY2921 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV230 @ ( hAPP @ SY2919 @ SY2921 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1646]) ).
thf(2074,plain,
! [SV654: $i,SV231: $i] :
( ( ! [SY2922: $i,SY2923: $i,SY2924: $i] :
( ~ ( hBOOL @ ( hAPP @ SV231 @ ( c_Message_Oagent_Oagent__case @ SV654 @ SY2922 @ SY2923 @ ( c_Message_Oagent_OFriend @ SY2924 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV231 @ ( hAPP @ SY2922 @ SY2924 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1647]) ).
thf(2075,plain,
! [SV655: $i,SV232: $i] :
( ( ! [SY2925: $i] :
~ ( c_List_Onull @ ( c_List_Olist_OCons @ SV232 @ SV655 @ SY2925 ) @ SY2925 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1648]) ).
thf(2076,plain,
! [SV656: $i,SV233: $i] :
( ( ! [SY2926: $i,SY2927: $i,SY2928: $i,SY2929: $i] :
( ( c_List_Ofoldr @ SV233 @ ( c_List_Olist_OCons @ SV656 @ SY2926 @ SY2927 ) @ SY2928 @ SY2927 @ SY2929 )
= ( hAPP @ ( hAPP @ SV233 @ SV656 ) @ ( c_List_Ofoldr @ SV233 @ SY2926 @ SY2928 @ SY2927 @ SY2929 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1649]) ).
thf(2077,plain,
! [SV657: $i,SV234: $i] :
( ( ! [SY2930: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ SV234 @ ( c_List_Olist_OCons @ SV657 @ ( c_List_Olist_ONil @ SY2930 ) @ SY2930 ) @ SY2930 ) @ SY2930 )
= SV657 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1650]) ).
thf(2078,plain,
! [SV658: $i,SV235: $i] :
( ( ! [SY2931: $i,SY2932: $i,SY2933: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV235 @ SV658 @ SY2931 @ ( c_Message_Oagent_OFriend @ SY2932 ) @ SY2933 )
= ( hAPP @ SV658 @ SY2932 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(2079,plain,
! [SV659: $i,SV236: $i] :
( ( ! [SY2934: $i,SY2935: $i,SY2936: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ SV236 @ ( c_List_Olist_OCons @ SV659 @ SY2934 @ SY2935 ) @ SY2935 ) @ ( c_Nat_Osize__class_Osize @ SV236 @ ( tc_List_Olist @ SY2935 ) ) @ SY2936 @ SY2935 )
= ( c_List_Oappend @ SV236 @ ( c_List_Olist_OCons @ SY2936 @ SY2934 @ SY2935 ) @ SY2935 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1652]) ).
thf(2080,plain,
! [SV660: $i,SV237: $i] :
( ( ! [SY2937: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV237 ) @ ( c_List_Olist_OCons @ SV660 @ SY2937 @ SV237 ) @ SV237 )
= ( c_List_Olist_OCons @ SV660 @ SY2937 @ SV237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1653]) ).
thf(2081,plain,
! [SV661: $i,SV238: $i] :
( ( c_List_Odistinct @ ( c_List_Oremdups @ SV238 @ SV661 ) @ SV661 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(2082,plain,
! [SV662: $i,SV239: $i] :
( ( ! [SY2938: $i] :
( ~ ( class_Orderings_Olinorder @ SV239 )
| ( c_List_Olinorder__class_Osorted @ SV662 @ SV239 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV662 @ SY2938 @ SV239 ) @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1655]) ).
thf(2083,plain,
! [SV663: $i,SV240: $i] :
( ( ! [SY2939: $i] :
( ~ ( class_Orderings_Olinorder @ SV240 )
| ( c_List_Olinorder__class_Osorted @ SV663 @ SV240 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2939 @ SV663 @ SV240 ) @ SV240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1656]) ).
thf(2084,plain,
! [SV664: $i,SV241: $i] :
( ( ! [SY2940: $i,SY2941: $i] :
( ( c_List_Olist__all @ SV241 @ ( c_List_Olist_OCons @ SV664 @ SY2940 @ SY2941 ) @ SY2941 )
| ~ ( c_List_Olist__all @ SV241 @ SY2940 @ SY2941 )
| ~ ( hBOOL @ ( hAPP @ SV241 @ SV664 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(2085,plain,
! [SV665: $i,SV242: $i] :
( ( ! [SY2942: $i,SY2943: $i,SY2944: $i,SY2945: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SV665 @ SY2942 @ SY2943 ) @ SY2944 @ SY2945 @ SY2943 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SY2944 @ SY2945 @ SY2943 ) @ SV665 @ SY2942 @ SY2943 ) )
| ( SV665 = SY2944 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1658]) ).
thf(2086,plain,
! [SV666: $i,SV243: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV243 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV666 @ SV243 ) @ SV243 )
| ~ ( c_List_Olinorder__class_Osorted @ SV666 @ SV243 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1659]) ).
thf(2087,plain,
! [SV667: $i,SV244: $i] :
( ( ! [SY2946: $i,SY2947: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV244 @ SV667 @ SY2946 ) @ ( c_List_Olist_OCons @ SV667 @ SY2947 @ SY2946 ) @ SY2946 )
= ( c_List_Olist_OCons @ SV667 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV244 @ SV667 @ SY2946 ) @ SY2947 @ SY2946 ) @ SY2946 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1660]) ).
thf(2088,plain,
! [SV668: $i,SV245: $i] :
( ( ! [SY2948: $i,SY2949: $i,SY2950: $i] :
( ( c_List_Odrop @ SV245 @ ( c_List_Omap @ SV668 @ SY2948 @ SY2949 @ SY2950 ) @ SY2950 )
= ( c_List_Omap @ SV668 @ ( c_List_Odrop @ SV245 @ SY2948 @ SY2949 ) @ SY2949 @ SY2950 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1661]) ).
thf(2089,plain,
! [SV669: $i,SV246: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ ( c_List_Olist_ONil @ SV246 ) @ SV669 @ SV246 ) @ SV246 )
= ( c_List_Ohd @ SV669 @ SV246 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1662]) ).
thf(2090,plain,
! [SV670: $i,SV247: $i] :
( ( ! [SY2951: $i,SY2952: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV247 @ SV670 @ SY2951 @ c_Message_Oagent_OServer @ SY2952 )
= SV247 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1663]) ).
thf(2091,plain,
! [SV671: $i,SV248: $i] :
( ( ! [SY2953: $i,SY2954: $i] :
( ( ( c_List_Ofilter @ SV248 @ ( c_List_Olist_OCons @ SV671 @ SY2953 @ SY2954 ) @ SY2954 )
= ( c_List_Ofilter @ SV248 @ SY2953 @ SY2954 ) )
| ( hBOOL @ ( hAPP @ SV248 @ SV671 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1664]) ).
thf(2092,plain,
! [SV672: $i,SV249: $i] :
( ( ! [SY2955: $i] :
( ( c_List_Ohd @ ( c_List_Olist_OCons @ SV249 @ SV672 @ SY2955 ) @ SY2955 )
= SV249 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1665]) ).
thf(2093,plain,
! [SV673: $i,SV250: $i] :
( ( c_List_Olist__all2 @ ( c_fequal @ SV250 ) @ SV673 @ SV673 @ SV250 @ SV250 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1666]) ).
thf(2094,plain,
! [SV674: $i,SV251: $i] :
( ( ! [SY2956: $i,SY2957: $i] :
( ( c_List_Olist__all @ SV251 @ SV674 @ SY2956 )
| ~ ( c_List_Olist__all @ SV251 @ ( c_List_Oappend @ SV674 @ SY2957 @ SY2956 ) @ SY2956 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(2095,plain,
! [SV675: $i,SV252: $i] :
( ( ! [SY2958: $i,SY2959: $i] :
( ( c_List_Olist__all @ SV252 @ SV675 @ SY2958 )
| ~ ( c_List_Olist__all @ SV252 @ ( c_List_Oappend @ SY2959 @ SV675 @ SY2958 ) @ SY2958 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1668]) ).
thf(2096,plain,
! [SV676: $i,SV253: $i] :
( ( ! [SY2960: $i] :
( ( c_List_Orotate1 @ ( c_List_Orotate @ SV253 @ SV676 @ SY2960 ) @ SY2960 )
= ( c_List_Orotate @ SV253 @ ( c_List_Orotate1 @ SV676 @ SY2960 ) @ SY2960 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1669]) ).
thf(2097,plain,
! [SV677: $i,SV254: $i] :
( ( ! [SY2961: $i,SY2962: $i,SY2963: $i] :
( ~ ( hBOOL @ ( hAPP @ SV254 @ ( c_List_Olist_Olist__case @ SV677 @ SY2961 @ ( c_List_Olist_OCons @ SY2962 @ SY2963 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV254 @ ( hAPP @ ( hAPP @ SY2961 @ SY2962 ) @ SY2963 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1670]) ).
thf(2098,plain,
! [SV678: $i,SV255: $i] :
( ( ! [SY2964: $i,SY2965: $i,SY2966: $i] :
( ~ ( hBOOL @ ( hAPP @ SV255 @ ( c_List_Olist_Olist__case @ SV678 @ SY2964 @ ( c_List_Olist_OCons @ SY2965 @ SY2966 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV255 @ ( hAPP @ ( hAPP @ SY2964 @ SY2965 ) @ SY2966 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1671]) ).
thf(2099,plain,
! [SV679: $i,SV256: $i] :
( ( ! [SY2967: $i] :
( ~ ( class_Orderings_Olinorder @ SV256 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV679 @ SY2967 @ SV256 ) @ SV256 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2967 @ SV256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1672]) ).
thf(2100,plain,
! [SV680: $i,SV257: $i] :
( ( ! [SY2968: $i,SY2969: $i,SY2970: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV257 @ SV680 @ SY2968 @ SY2969 ) @ SV680 @ SY2970 @ SY2969 )
= ( c_List_Olist__update @ SV257 @ SV680 @ SY2970 @ SY2969 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1673]) ).
thf(2101,plain,
! [SV681: $i,SV258: $i] :
( ( ! [SY2971: $i,SY2972: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV258 @ SV681 @ SY2971 ) @ SY2972 @ SY2971 )
= ( c_List_Oappend @ SV258 @ ( c_List_Oappend @ SV681 @ SY2972 @ SY2971 ) @ SY2971 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(2102,plain,
! [SV682: $i,SV259: $i] :
( ( ! [SY2973: $i,SY2974: $i] :
( ( c_List_Oappend @ SV259 @ ( c_List_Oappend @ SV682 @ SY2973 @ SY2974 ) @ SY2974 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV259 @ SV682 @ SY2974 ) @ SY2973 @ SY2974 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1675]) ).
thf(2103,plain,
! [SV683: $i,SV260: $i] :
( ( ! [SY2975: $i,SY2976: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV260 @ SV683 @ SY2975 ) @ SY2976 @ SY2975 )
= ( c_List_Oappend @ SV260 @ ( c_List_Oappend @ SV683 @ SY2976 @ SY2975 ) @ SY2975 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(2104,plain,
! [SV684: $i,SV261: $i] :
( ( ! [SY2977: $i,SY2978: $i] :
( ( c_List_Oappend @ SV261 @ ( c_List_Oappend @ SV684 @ SY2977 @ SY2978 ) @ SY2978 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV261 @ SV684 @ SY2978 ) @ SY2977 @ SY2978 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1677]) ).
thf(2105,plain,
! [SV685: $i,SV262: $i] :
( ( ( c_List_Oset @ ( c_List_Oremdups @ SV262 @ SV685 ) @ SV685 )
= ( c_List_Oset @ SV262 @ SV685 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(2106,plain,
! [SV686: $i,SV263: $i] :
( ( ! [SY2979: $i] :
( ~ ( class_Orderings_Olinorder @ SV263 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV686 @ SY2979 @ SV263 ) @ SV263 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2979 @ SV263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1679]) ).
thf(2107,plain,
! [SV687: $i,SV264: $i] :
( ( ! [SY2980: $i,SY2981: $i] :
( ( c_List_Ofoldl @ SV264 @ SV687 @ ( c_List_Olist_ONil @ SY2980 ) @ SY2981 @ SY2980 )
= SV687 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(2108,plain,
! [SV688: $i,SV265: $i] :
( ( ( hBOOL @ ( hAPP @ SV265 @ SV688 ) )
| ( hBOOL @ ( hAPP @ SV265 @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV265 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV265 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1681]) ).
thf(2109,plain,
! [SV689: $i,SV267: $i] :
( ( ( c_List_Odrop @ SV267 @ ( c_List_Olist_ONil @ SV689 ) @ SV689 )
= ( c_List_Olist_ONil @ SV689 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1683]) ).
thf(2110,plain,
! [SV690: $i,SV268: $i] :
( ( ( hBOOL @ ( hAPP @ SV268 @ SV690 ) )
| ( hBOOL @ ( hAPP @ SV268 @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV268 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV268 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1684]) ).
thf(2111,plain,
! [SV691: $i,SV269: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_ONil @ SV269 ) @ SV691 @ SV269 )
= ( c_List_Olist_ONil @ SV269 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1685]) ).
thf(2112,plain,
! [SV692: $i,SV270: $i] :
( ( ( c_List_OdropWhile @ SV270 @ ( c_List_Olist_ONil @ SV692 ) @ SV692 )
= ( c_List_Olist_ONil @ SV692 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1686]) ).
thf(2113,plain,
! [SV693: $i,SV271: $i] :
( ( SV271
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV693 ) @ SV271 @ SV693 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1687]) ).
thf(2114,plain,
! [SV694: $i,SV272: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV272 ) @ SV694 @ SV272 )
= SV694 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1688]) ).
thf(2115,plain,
! [SV695: $i,SV273: $i] :
( ( SV273
= ( c_List_Oappend @ SV273 @ ( c_List_Olist_ONil @ SV695 ) @ SV695 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1689]) ).
thf(2116,plain,
! [SV696: $i,SV274: $i] :
( ( SV274
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV696 ) @ SV274 @ SV696 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(2117,plain,
! [SV697: $i,SV275: $i] :
( ( ( c_List_Oappend @ SV275 @ ( c_List_Olist_ONil @ SV697 ) @ SV697 )
= SV275 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(2118,plain,
! [SV698: $i,SV276: $i] :
( ( ( hBOOL @ ( hAPP @ SV276 @ SV698 ) )
| ( hBOOL @ ( hAPP @ SV276 @ ( v_sko__List__Xlast__Xinduct__2 @ SV276 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV276 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(2119,plain,
! [SV699: $i,SV277: $i] :
( ( ( c_List_Otake @ SV277 @ ( c_List_Olist_ONil @ SV699 ) @ SV699 )
= ( c_List_Olist_ONil @ SV699 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1693]) ).
thf(2120,plain,
! [SV700: $i,SV278: $i] :
( ( ( hBOOL @ ( hAPP @ SV278 @ SV700 ) )
| ( hBOOL @ ( hAPP @ SV278 @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV278 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV278 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1694]) ).
thf(2121,plain,
! [SV701: $i,SV279: $i] :
( ( c_List_Olistsp @ SV279 @ ( c_List_Olist_ONil @ SV701 ) @ SV701 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1695]) ).
thf(2122,plain,
! [SV702: $i,SV280: $i] :
( ( ( hBOOL @ ( hAPP @ SV280 @ SV702 ) )
| ( hBOOL @ ( hAPP @ SV280 @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV280 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV280 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1696]) ).
thf(2123,plain,
! [SV703: $i,SV281: $i] :
( ( ( hBOOL @ ( hAPP @ SV281 @ SV703 ) )
| ( hBOOL @ ( hAPP @ SV281 @ ( v_sko__List__Xfoldl__Xinduct__2 @ SV281 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1697]) ).
thf(2124,plain,
! [SV704: $i,SV282: $i] :
( ( c_List_Olist__all @ SV282 @ ( c_List_Olist_ONil @ SV704 ) @ SV704 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1698]) ).
thf(2125,plain,
! [SV705: $i,SV284: $i] :
( ( ~ ( c_List_Olist__ex @ SV284 @ ( c_List_Olist_ONil @ SV705 ) @ SV705 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(2126,plain,
! [SV706: $i,SV286: $i] :
( ( ! [SY2982: $i] :
( ~ ( hBOOL @ ( hAPP @ SV286 @ ( c_List_Olist_Olist__case @ SV706 @ SY2982 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV286 @ SV706 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1702]) ).
thf(2127,plain,
! [SV707: $i,SV287: $i] :
( ( ! [SY2983: $i,SY2984: $i] :
( ( c_List_Ofoldr @ SV287 @ ( c_List_Olist_ONil @ SV707 ) @ SY2983 @ SV707 @ SY2984 )
= SY2983 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(2128,plain,
! [SV708: $i,SV288: $i] :
( ( ( hBOOL @ ( hAPP @ SV288 @ SV708 ) )
| ( hBOOL @ ( hAPP @ SV288 @ ( v_sko__List__Xzip__Xinduct__2 @ SV288 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV288 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1704]) ).
thf(2129,plain,
! [SV709: $i,SV289: $i] :
( ( ! [SY2985: $i] :
( ( c_List_Omap @ SV289 @ ( c_List_Olist_ONil @ SV709 ) @ SV709 @ SY2985 )
= ( c_List_Olist_ONil @ SY2985 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(2130,plain,
! [SV710: $i,SV290: $i] :
( ( ( c_List_Osublist @ ( c_List_Olist_ONil @ SV290 ) @ SV710 @ SV290 )
= ( c_List_Olist_ONil @ SV290 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(2131,plain,
! [SV711: $i,SV291: $i] :
( ( ( hBOOL @ ( hAPP @ SV291 @ SV711 ) )
| ( hBOOL @ ( hAPP @ SV291 @ ( v_sko__List__Xlistset__Xinduct__2 @ SV291 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV291 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1707]) ).
thf(2132,plain,
! [SV712: $i,SV292: $i] :
( ( ! [SY2986: $i,SY2987: $i] :
( ( c_List_Olist_Olist__rec @ SV292 @ SV712 @ ( c_List_Olist_ONil @ SY2986 ) @ SY2987 @ SY2986 )
= SV292 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(2133,plain,
! [SV713: $i,SV293: $i] :
( ( ( hBOOL @ ( hAPP @ SV293 @ SV713 ) )
| ( hBOOL @ ( hAPP @ SV293 @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV293 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV293 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1709]) ).
thf(2134,plain,
! [SV714: $i,SV294: $i] :
( ( ( hBOOL @ ( hAPP @ SV294 @ SV714 ) )
| ( hBOOL @ ( hAPP @ SV294 @ ( v_sko__List__Xtake__Xinduct__2 @ SV294 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV294 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1710]) ).
thf(2135,plain,
! [SV295: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV295 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV295 ) @ SV295 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1711]) ).
thf(2136,plain,
! [SV715: $i,SV296: $i] :
( ( ! [SY2988: $i] :
( ( c_List_Ofiltermap @ SV296 @ ( c_List_Olist_ONil @ SV715 ) @ SV715 @ SY2988 )
= ( c_List_Olist_ONil @ SY2988 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1712]) ).
thf(2137,plain,
! [SV716: $i,SV297: $i] :
( ( ( c_List_Ofilter @ SV297 @ ( c_List_Olist_ONil @ SV716 ) @ SV716 )
= ( c_List_Olist_ONil @ SV716 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1713]) ).
thf(2138,plain,
! [SV717: $i,SV298: $i] :
( ( ! [SY2989: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV298 ) @ SV717 @ SY2989 @ SV298 )
= ( c_List_Olist_ONil @ SV298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1714]) ).
thf(2139,plain,
! [SV718: $i,SV299: $i] :
( ( ! [SY2990: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV299 ) @ SV718 @ SY2990 @ SV299 )
= ( c_List_Olist_ONil @ SV299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1715]) ).
thf(2140,plain,
! [SV719: $i,SV300: $i] :
( ( ! [SY2991: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV300 ) @ SV719 @ SY2991 @ SV300 )
= ( c_List_Olist_ONil @ SV300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1716]) ).
thf(2141,plain,
! [SV720: $i,SV301: $i] :
( ( ( hBOOL @ ( hAPP @ SV301 @ SV720 ) )
| ( hBOOL @ ( hAPP @ SV301 @ ( v_sko__List__Xconcat__Xinduct__2 @ SV301 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV301 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1717]) ).
thf(2142,plain,
! [SV721: $i,SV302: $i] :
( ( ( c_List_Oremove1 @ SV302 @ ( c_List_Olist_ONil @ SV721 ) @ SV721 )
= ( c_List_Olist_ONil @ SV721 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1718]) ).
thf(2143,plain,
! [SV722: $i,SV303: $i] :
( ( ( hBOOL @ ( hAPP @ SV303 @ SV722 ) )
| ( hBOOL @ ( hAPP @ SV303 @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV303 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1719]) ).
thf(2144,plain,
! [SV723: $i,SV304: $i] :
( ( ! [SY2992: $i,SY2993: $i] :
( ( c_Map_Omap__upds @ SV304 @ SV723 @ ( c_List_Olist_ONil @ SY2992 ) @ SY2993 @ SY2992 )
= SV304 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1720]) ).
thf(2145,plain,
! [SV724: $i,SV305: $i] :
( ( ! [SY2994: $i,SY2995: $i] :
( ( c_Map_Omap__upds @ SV305 @ ( c_List_Olist_ONil @ SV724 ) @ SY2994 @ SV724 @ SY2995 )
= SV305 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1721]) ).
thf(2146,plain,
! [SV725: $i,SV306: $i] :
( ( ( hBOOL @ ( hAPP @ SV306 @ SV725 ) )
| ( hBOOL @ ( hAPP @ SV306 @ ( v_sko__List__Xremove1__Xinduct__2 @ SV306 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV306 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(2147,plain,
! [SV726: $i,SV307: $i] :
( ( ! [SY2996: $i,SY2997: $i] :
( ( c_List_Olist_Olist__case @ SV307 @ SV726 @ ( c_List_Olist_ONil @ SY2996 ) @ SY2997 @ SY2996 )
= SV307 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1723]) ).
thf(2148,plain,
! [SV727: $i,SV308: $i] :
( ( ( c_List_Orotate @ SV308 @ ( c_List_Olist_ONil @ SV727 ) @ SV727 )
= ( c_List_Olist_ONil @ SV727 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1724]) ).
thf(2149,plain,
! [SV728: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ SV309 @ SV728 ) )
| ( hBOOL @ ( hAPP @ SV309 @ ( v_sko__List__Xlist__Xinduct__2 @ SV309 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV309 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(2150,plain,
! [SV729: $i,SV310: $i] :
( ( ! [SY2998: $i] :
( ( c_List_Olist_ONil @ SV310 )
= ( c_List_Omap @ SV729 @ ( c_List_Olist_ONil @ SY2998 ) @ SY2998 @ SV310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1726]) ).
thf(2151,plain,
! [SV730: $i,SV312: $i] :
( ( c_List_Olistrelp @ SV312 @ ( c_List_Olist_ONil @ SV730 ) @ ( c_List_Olist_ONil @ SV730 ) @ SV730 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1728]) ).
thf(2152,plain,
! [SV731: $i,SV313: $i] :
( ( ( hBOOL @ ( hAPP @ SV313 @ SV731 ) )
| ( hBOOL @ ( hAPP @ SV313 @ ( v_sko__List__Xmap__Xinduct__2 @ SV313 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV313 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1729]) ).
thf(2153,plain,
! [SV732: $i,SV314: $i] :
( ( ( ( c_List_Ohd @ ( hAPP @ ( c_List_Orev @ SV314 ) @ SV732 ) @ SV314 )
= ( c_List_Olast @ SV732 @ SV314 ) )
| ( SV732
= ( c_List_Olist_ONil @ SV314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(2154,plain,
! [SV733: $i,SV315: $i] :
( ( ( ( c_List_Olast @ ( hAPP @ ( c_List_Orev @ SV315 ) @ SV733 ) @ SV315 )
= ( c_List_Ohd @ SV733 @ SV315 ) )
| ( SV733
= ( c_List_Olist_ONil @ SV315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1731]) ).
thf(2155,plain,
! [SV734: $i,SV316: $i] :
( ( ! [SY2999: $i] :
( ( hAPP @ ( c_List_Orev @ SV316 ) @ ( c_List_Olist_OCons @ SV734 @ SY2999 @ SV316 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV316 ) @ SY2999 ) @ ( c_List_Olist_OCons @ SV734 @ ( c_List_Olist_ONil @ SV316 ) @ SV316 ) @ SV316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1732]) ).
thf(2156,plain,
! [SV735: $i,SV317: $i] :
( ( ! [SY3000: $i] :
( ( hAPP @ ( c_List_Orev @ SV317 ) @ ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV317 ) @ SV735 ) @ ( c_List_Olist_OCons @ SY3000 @ ( c_List_Olist_ONil @ SV317 ) @ SV317 ) @ SV317 ) )
= ( c_List_Olist_OCons @ SY3000 @ SV735 @ SV317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1733]) ).
thf(2157,plain,
! [SV736: $i,SV318: $i] :
( ( ! [SY3001: $i,SY3002: $i] :
( ( c_Message_Oagent_Oagent__case @ SV318 @ SV736 @ SY3001 @ c_Message_Oagent_OSpy @ SY3002 )
= SY3001 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1734]) ).
thf(2158,plain,
! [SV737: $i,SV319: $i] :
( ( ! [SY3003: $i,SY3004: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV319 @ SV737 @ SY3003 @ c_Message_Oagent_OSpy @ SY3004 )
= SY3003 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1735]) ).
thf(2159,plain,
! [SV738: $i,SV320: $i] :
( ( ! [SY3005: $i,SY3006: $i] :
( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_Message_Oagent_Oagent__case @ SV738 @ SY3005 @ SY3006 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV320 @ SY3006 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1736]) ).
thf(2160,plain,
! [SV739: $i,SV321: $i] :
( ( ! [SY3007: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV321 @ SV739 ) @ SY3007 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3007 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1737]) ).
thf(2161,plain,
! [SV740: $i,SV322: $i] :
( ( ! [SY3008: $i] :
( ( hAPP @ ( c_List_Orev @ SV322 ) @ ( c_List_Ofilter @ SV740 @ SY3008 @ SV322 ) )
= ( c_List_Ofilter @ SV740 @ ( hAPP @ ( c_List_Orev @ SV322 ) @ SY3008 ) @ SV322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1738]) ).
thf(2162,plain,
! [SV741: $i,SV323: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( hAPP @ ( c_List_Orev @ SV323 ) @ SV741 ) @ ( tc_List_Olist @ SV323 ) )
= ( c_Nat_Osize__class_Osize @ SV741 @ ( tc_List_Olist @ SV323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1739]) ).
thf(2163,plain,
! [SV742: $i,SV324: $i] :
( ( ! [SY3009: $i] :
( ( c_List_Olist__all @ SV324 @ ( hAPP @ ( c_List_Orev @ SV742 ) @ SY3009 ) @ SV742 )
| ~ ( c_List_Olist__all @ SV324 @ SY3009 @ SV742 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1740]) ).
thf(2164,plain,
! [SV743: $i,SV325: $i] :
( ( ! [SY3010: $i] :
( ( c_List_Olist__all @ SV325 @ SV743 @ SY3010 )
| ~ ( c_List_Olist__all @ SV325 @ ( hAPP @ ( c_List_Orev @ SY3010 ) @ SV743 ) @ SY3010 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1741]) ).
thf(2165,plain,
! [SV744: $i,SV326: $i] :
( ( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV326 )
| ( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ SV326 ) @ SV744 ) @ SV326 )
= ( c_List_Olistsum @ SV744 @ SV326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1742]) ).
thf(2166,plain,
! [SV745: $i,SV327: $i] :
( ( ( c_List_Oset @ ( hAPP @ ( c_List_Orev @ SV327 ) @ SV745 ) @ SV327 )
= ( c_List_Oset @ SV745 @ SV327 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(2167,plain,
! [SV746: $i,SV328: $i] :
( ( ! [SY3011: $i] :
( ( hAPP @ ( c_List_Orev @ SV328 ) @ ( c_List_Oreplicate @ SV746 @ SY3011 @ SV328 ) )
= ( c_List_Oreplicate @ SV746 @ SY3011 @ SV328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(2168,plain,
! [SV747: $i,SV329: $i] :
( ( ! [SY3012: $i,SY3013: $i,SY3014: $i] :
( ( c_List_Olist__all2 @ SV329 @ ( hAPP @ ( c_List_Orev @ SV747 ) @ SY3012 ) @ ( hAPP @ ( c_List_Orev @ SY3013 ) @ SY3014 ) @ SV747 @ SY3013 )
| ~ ( c_List_Olist__all2 @ SV329 @ SY3012 @ SY3014 @ SV747 @ SY3013 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1745]) ).
thf(2169,plain,
! [SV748: $i,SV330: $i] :
( ( ! [SY3015: $i,SY3016: $i,SY3017: $i] :
( ( c_List_Olist__all2 @ SV330 @ SV748 @ SY3015 @ SY3016 @ SY3017 )
| ~ ( c_List_Olist__all2 @ SV330 @ ( hAPP @ ( c_List_Orev @ SY3016 ) @ SV748 ) @ ( hAPP @ ( c_List_Orev @ SY3017 ) @ SY3015 ) @ SY3016 @ SY3017 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1746]) ).
thf(2170,plain,
! [SV749: $i,SV331: $i] :
( ( ! [SY3018: $i,SY3019: $i] :
( ( hAPP @ ( c_List_Orev @ SV331 ) @ ( c_List_Omap @ SV749 @ SY3018 @ SY3019 @ SV331 ) )
= ( c_List_Omap @ SV749 @ ( hAPP @ ( c_List_Orev @ SY3019 ) @ SY3018 ) @ SY3019 @ SV331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1747]) ).
thf(2171,plain,
! [SV750: $i,SV332: $i] :
( ( c_Fun_Oinj__on @ ( c_List_Orev @ SV332 ) @ SV750 @ ( tc_List_Olist @ SV332 ) @ ( tc_List_Olist @ SV332 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1748]) ).
thf(2172,plain,
! [SV751: $i,SV333: $i] :
( ( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV333 ) @ SV751 ) @ SV333 )
| ~ ( c_List_Odistinct @ SV751 @ SV333 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(2173,plain,
! [SV752: $i,SV334: $i] :
( ( ( c_List_Odistinct @ SV334 @ SV752 )
| ~ ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV752 ) @ SV334 ) @ SV752 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1750]) ).
thf(2174,plain,
! [SV753: $i,SV335: $i] :
( ( ! [SY3020: $i] :
( ( hAPP @ ( c_List_Orev @ SV335 ) @ ( c_List_Oappend @ SV753 @ SY3020 @ SV335 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV335 ) @ SY3020 ) @ ( hAPP @ ( c_List_Orev @ SV335 ) @ SV753 ) @ SV335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1751]) ).
thf(2175,plain,
! [SV754: $i,SV336: $i] :
( ( ! [SY3021: $i,SY3022: $i,SY3023: $i] :
( ( c_List_Olist__all2 @ SV336 @ ( hAPP @ ( c_List_Orev @ SV754 ) @ SY3021 ) @ SY3022 @ SV754 @ SY3023 )
| ~ ( c_List_Olist__all2 @ SV336 @ SY3021 @ ( hAPP @ ( c_List_Orev @ SY3023 ) @ SY3022 ) @ SV754 @ SY3023 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1752]) ).
thf(2176,plain,
! [SV755: $i,SV337: $i] :
( ( ! [SY3024: $i,SY3025: $i,SY3026: $i] :
( ( c_List_Olist__all2 @ SV337 @ SV755 @ ( hAPP @ ( c_List_Orev @ SY3024 ) @ SY3025 ) @ SY3026 @ SY3024 )
| ~ ( c_List_Olist__all2 @ SV337 @ ( hAPP @ ( c_List_Orev @ SY3026 ) @ SV755 ) @ SY3025 @ SY3026 @ SY3024 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1753]) ).
thf(2177,plain,
! [SV756: $i,SV338: $i] :
( ( ! [SY3027: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV338 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV756 @ SY3027 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1754]) ).
thf(2178,plain,
! [SV757: $i,SV339: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV339 ) @ ( c_List_Olist_OCons @ SV757 @ ( c_List_Olist_ONil @ SV339 ) @ SV339 ) )
= ( c_List_Olist_OCons @ SV757 @ ( c_List_Olist_ONil @ SV339 ) @ SV339 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1755]) ).
thf(2179,plain,
! [SV758: $i,SV340: $i] :
( ( ( c_List_Olist_OCons @ SV340 @ ( c_List_Olist_ONil @ SV758 ) @ SV758 )
= ( hAPP @ ( c_List_Orev @ SV758 ) @ ( c_List_Olist_OCons @ SV340 @ ( c_List_Olist_ONil @ SV758 ) @ SV758 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1756]) ).
thf(2180,plain,
! [SV759: $i,SV343: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV343 ) @ ( hAPP @ ( c_List_Orev @ SV343 ) @ SV759 ) )
= SV759 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1759]) ).
thf(2181,plain,
! [SV760: $i,SV344: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV344 ) @ ( hAPP @ ( c_List_Orev @ SV344 ) @ SV760 ) )
= SV760 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1760]) ).
thf(2182,plain,
! [SV761: $i,SV345: $i] :
( ( SV345
= ( hAPP @ ( c_List_Orev @ SV761 ) @ ( hAPP @ ( c_List_Orev @ SV761 ) @ SV345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1761]) ).
thf(2183,plain,
! [SV762: $i,SV347: $i] :
( ( ( class_Orderings_Opreorder @ ( tc_fun @ SV347 @ SV762 ) )
| ~ ( class_Orderings_Opreorder @ SV762 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1763]) ).
thf(2184,plain,
! [SV763: $i,SV348: $i] :
( ( ( class_Orderings_Oorder @ ( tc_fun @ SV348 @ SV763 ) )
| ~ ( class_Orderings_Oorder @ SV763 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1764]) ).
thf(2185,plain,
! [SV764: $i,SV349: $i] :
( ( ( class_HOL_Oord @ ( tc_fun @ SV349 @ SV764 ) )
| ~ ( class_HOL_Oord @ SV764 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1765]) ).
thf(2186,plain,
! [SV765: $i,SV350: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV350 ) @ SV765 ) @ SV765 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1766]) ).
thf(2187,plain,
! [SV766: $i,SV351: $i] :
( ( ! [SY3028: $i] :
( ( SV351 = SV766 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SY3028 ) @ SV351 ) @ SV766 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1767]) ).
thf(2188,plain,
! [SV767: $i,SV352: $i] :
( ( ! [SY3029: $i,SY3030: $i] :
( ( ( c_List_Omap @ SV352 @ SV767 @ SY3029 @ SY3030 )
!= ( c_List_Olist_ONil @ SY3030 ) )
| ( SV767
= ( c_List_Olist_ONil @ SY3029 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1769]) ).
thf(2189,plain,
! [SV768: $i,SV353: $i] :
( ( ! [SY3031: $i,SY3032: $i,SY3033: $i,SY3034: $i,SY3035: $i] :
( ( ( hAPP @ SV353 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SY3031 @ SY3032 ) )
!= ( hAPP @ SY3031 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SY3031 @ SY3032 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY3033 @ SV353 @ SY3034 @ SV768 @ SY3032 )
= ( c_Message_Oagent_Oagent__case @ SY3033 @ SY3031 @ SY3035 @ SV768 @ SY3032 ) )
| ( SV768 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1770]) ).
thf(2190,plain,
! [SV769: $i,SV354: $i] :
( ( ! [SY3036: $i,SY3037: $i,SY3038: $i,SY3039: $i,SY3040: $i,SY3041: $i] :
( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SY3036 @ SY3037 ) )
!= ( hAPP @ SY3036 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SY3036 @ SY3037 ) ) )
| ( SV769 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY3038 @ SV354 @ SY3039 @ SV769 @ SY3037 )
= ( c_Message_Oagent_Oagent__case @ SY3040 @ SY3036 @ SY3041 @ SV769 @ SY3037 ) )
| ( SV769 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1771]) ).
thf(2191,plain,
! [SV770: $i,SV355: $i] :
( ( ! [SY3042: $i,SY3043: $i,SY3044: $i,SY3045: $i] :
( ( ( hAPP @ SV355 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SY3042 @ SY3043 ) )
!= ( hAPP @ SY3042 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SY3042 @ SY3043 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY3044 @ SV355 @ SY3045 @ SV770 @ SY3043 )
= ( c_Message_Oagent_Oagent__case @ SY3044 @ SY3042 @ SY3045 @ SV770 @ SY3043 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1772]) ).
thf(2192,plain,
! [SV771: $i,SV356: $i] :
( ( ! [SY3046: $i] :
( ( ( c_List_Oappend @ SV356 @ SV771 @ SY3046 )
!= SV356 )
| ( SV771
= ( c_List_Olist_ONil @ SY3046 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1773]) ).
thf(2193,plain,
! [SV772: $i,SV357: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV357 ) @ SV772 )
!= ( c_List_Olist_ONil @ SV357 ) )
| ( SV772
= ( c_List_Olist_ONil @ SV357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1774]) ).
thf(2194,plain,
! [SV773: $i,SV358: $i] :
( ( ! [SY3047: $i,SY3048: $i] :
( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SY3047 @ SV773 )
!= SV358 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SY3047 @ ( tc_List_Olist @ SV773 ) ) @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ tc_nat )
| ( ( c_List_Oappend @ SY3047 @ SY3048 @ SV773 )
= ( c_List_Oappend @ SV358 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SY3047 @ SV773 ) @ SY3048 @ SV773 ) @ SV773 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1775]) ).
thf(2195,plain,
! [SV774: $i,SV359: $i] :
( ( ! [SY3049: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV359 ) @ SV774 )
!= ( c_List_Olist_OCons @ SY3049 @ ( c_List_Olist_ONil @ SV359 ) @ SV359 ) )
| ( SV774
= ( c_List_Olist_OCons @ SY3049 @ ( c_List_Olist_ONil @ SV359 ) @ SV359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1776]) ).
thf(2196,plain,
! [SV775: $i,SV360: $i] :
( ( ! [SY3050: $i] :
( SV360
!= ( c_List_Olist_OCons @ SV775 @ SV360 @ SY3050 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(2197,plain,
! [SV776: $i,SV361: $i] :
( ( ! [SY3051: $i] :
( ( ( c_List_Olist_ONil @ SV361 )
!= ( c_List_Oappend @ SV776 @ SY3051 @ SV361 ) )
| ( SY3051
= ( c_List_Olist_ONil @ SV361 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1778]) ).
thf(2198,plain,
! [SV777: $i,SV362: $i] :
( ( ! [SY3052: $i,SY3053: $i,SY3054: $i] :
( ( ( c_List_Oappend @ SV362 @ SV777 @ SY3052 )
!= ( c_List_Oappend @ SY3053 @ SY3054 @ SY3052 ) )
| ( SV777
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SY3052 ) ) @ SY3053 @ SY3052 ) @ SY3054 @ SY3052 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SY3052 ) ) @ ( c_Nat_Osize__class_Osize @ SY3053 @ ( tc_List_Olist @ SY3052 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1779]) ).
thf(2199,plain,
! [SV778: $i,SV363: $i] :
( ( ! [SY3055: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV363 ) @ SV778 )
!= ( hAPP @ ( c_List_Orev @ SV363 ) @ SY3055 ) )
| ( SV778 = SY3055 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1780]) ).
thf(2200,plain,
! [SV779: $i,SV364: $i] :
( ( ! [SY3056: $i] :
( ( ( c_List_Oappend @ SV364 @ SV779 @ SY3056 )
!= SV779 )
| ( SV364
= ( c_List_Olist_ONil @ SY3056 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1781]) ).
thf(2201,plain,
! [SV780: $i,SV365: $i] :
( ( ! [SY3057: $i] :
( ( ( c_List_Orotate @ SV365 @ SV780 @ SY3057 )
!= ( c_List_Olist_ONil @ SY3057 ) )
| ( SV780
= ( c_List_Olist_ONil @ SY3057 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1782]) ).
thf(2202,plain,
! [SV781: $i,SV366: $i] :
( ( ( ( c_List_Oremdups @ SV366 @ SV781 )
!= SV366 )
| ( c_List_Odistinct @ SV366 @ SV781 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1783]) ).
thf(2203,plain,
! [SV782: $i,SV367: $i] :
( ( ! [SY3058: $i] :
( ( c_List_Olist_OCons @ SV367 @ SV782 @ SY3058 )
!= ( c_List_Olist_ONil @ SY3058 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(2204,plain,
! [SV783: $i,SV368: $i] :
( ( ! [SY3059: $i] :
( ( ( c_List_Oappend @ SV368 @ SV783 @ SY3059 )
!= ( c_List_Olist_ONil @ SY3059 ) )
| ( SV783
= ( c_List_Olist_ONil @ SY3059 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1785]) ).
thf(2205,plain,
! [SV369: $i] :
( ( c_Message_Oagent_OServer
= ( c_Message_Oagent_OFriend @ SV369 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(2206,plain,
! [SV784: $i,SV370: $i] :
( ( ! [SY3060: $i] :
( ( SV370
!= ( c_List_Oappend @ SV370 @ SV784 @ SY3060 ) )
| ( SV784
= ( c_List_Olist_ONil @ SY3060 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(2207,plain,
! [SV785: $i,SV371: $i] :
( ( ! [SY3061: $i,SY3062: $i,SY3063: $i] :
( ( ( c_List_Oappend @ SV371 @ SV785 @ SY3061 )
!= ( c_List_Oappend @ SY3062 @ SY3063 @ SY3061 ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SY3062 @ ( tc_List_Olist @ SY3061 ) ) @ SV371 @ SY3061 )
= SY3062 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV371 @ ( tc_List_Olist @ SY3061 ) ) @ ( c_Nat_Osize__class_Osize @ SY3062 @ ( tc_List_Olist @ SY3061 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1788]) ).
thf(2208,plain,
! [SV372: $i] :
( ( c_Message_Oagent_OSpy
= ( c_Message_Oagent_OFriend @ SV372 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(2209,plain,
! [SV786: $i,SV373: $i] :
( ( ! [SY3064: $i] :
( ( c_List_Olist_OCons @ SV373 @ SV786 @ SY3064 )
!= ( c_List_Olist_ONil @ SY3064 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(2210,plain,
! [SV787: $i,SV374: $i] :
( ( ! [SY3065: $i,SY3066: $i] :
( ( ( c_List_Oappend @ SV374 @ SV787 @ SY3065 )
!= ( c_List_Oappend @ SV374 @ SY3066 @ SY3065 ) )
| ( SV787 = SY3066 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1791]) ).
thf(2211,plain,
! [SV788: $i,SV375: $i] :
( ( ! [SY3067: $i,SY3068: $i,SY3069: $i] :
( ( ( c_List_Omap @ SV375 @ SV788 @ SY3067 @ SY3068 )
!= ( c_List_Omap @ SV375 @ SY3069 @ SY3067 @ SY3068 ) )
| ( ( c_Nat_Osize__class_Osize @ SV788 @ ( tc_List_Olist @ SY3067 ) )
= ( c_Nat_Osize__class_Osize @ SY3069 @ ( tc_List_Olist @ SY3067 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1792]) ).
thf(2212,plain,
! [SV789: $i,SV376: $i] :
( ( ! [SY3070: $i] :
( ~ ( class_Orderings_Olinorder @ SV376 )
| ( ( c_List_Oset @ SV789 @ SV376 )
!= ( c_List_Oset @ SY3070 @ SV376 ) )
| ~ ( c_List_Odistinct @ SY3070 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SY3070 @ SV376 )
| ~ ( c_List_Odistinct @ SV789 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SY3070 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(2213,plain,
! [SV790: $i,SV377: $i] :
( ( ! [SY3071: $i,SY3072: $i,SY3073: $i] :
( ( ( c_List_Oappend @ SV377 @ SV790 @ SY3071 )
!= ( c_List_Oappend @ SY3072 @ SY3073 @ SY3071 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY3072 @ ( tc_List_Olist @ SY3071 ) ) @ SV377 @ SY3071 ) @ SV790 @ SY3071 )
= SY3073 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV377 @ ( tc_List_Olist @ SY3071 ) ) @ ( c_Nat_Osize__class_Osize @ SY3072 @ ( tc_List_Olist @ SY3071 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1794]) ).
thf(2214,plain,
! [SV791: $i,SV378: $i] :
( ( ! [SY3074: $i,SY3075: $i,SY3076: $i] :
( ( ( c_List_Olist_OCons @ SV378 @ SV791 @ SY3074 )
!= ( c_List_Olist_OCons @ SY3075 @ SY3076 @ SY3074 ) )
| ( SV791 = SY3076 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(2215,plain,
! [SV792: $i,SV379: $i] :
( ( ! [SY3077: $i] :
( ( SV379
!= ( c_List_Oappend @ SV792 @ SV379 @ SY3077 ) )
| ( SV792
= ( c_List_Olist_ONil @ SY3077 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(2216,plain,
! [SV793: $i,SV380: $i] :
( ( ! [SY3078: $i,SY3079: $i,SY3080: $i] :
( ( ( c_List_Oreplicate @ SV380 @ SV793 @ SY3078 )
!= ( c_List_Oreplicate @ SY3079 @ SY3080 @ SY3078 ) )
| ( SV380 = SY3079 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(2217,plain,
! [SV794: $i,SV381: $i] :
( ( ! [SY3081: $i,SY3082: $i,SY3083: $i] :
( ( c_Event_Oevent_OSays @ SV381 @ SV794 @ SY3081 )
!= ( c_Event_Oevent_OGets @ SY3082 @ SY3083 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(2218,plain,
! [SV795: $i,SV382: $i] :
( ( ! [SY3084: $i,SY3085: $i] :
( ( ( c_List_Olist_ONil @ SV382 )
!= ( c_List_Omap @ SV795 @ SY3084 @ SY3085 @ SV382 ) )
| ( SY3084
= ( c_List_Olist_ONil @ SY3085 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1799]) ).
thf(2219,plain,
! [SV796: $i,SV383: $i] :
( ( ( ( c_List_Olist_ONil @ SV383 )
!= ( hAPP @ ( c_List_Orev @ SV383 ) @ SV796 ) )
| ( SV796
= ( c_List_Olist_ONil @ SV383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1800]) ).
thf(2220,plain,
! [SV797: $i,SV384: $i] :
( ( ! [SY3086: $i,SY3087: $i,SY3088: $i,SY3089: $i,SY3090: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
!= ( c_Nat_Osize__class_Osize @ SY3086 @ ( tc_List_Olist @ SY3087 ) ) )
| ( c_List_Olist__all2 @ SY3088 @ ( c_List_Oappend @ SV384 @ SY3089 @ SV797 ) @ ( c_List_Oappend @ SY3086 @ SY3090 @ SY3087 ) @ SV797 @ SY3087 )
| ~ ( c_List_Olist__all2 @ SY3088 @ SY3089 @ SY3090 @ SV797 @ SY3087 )
| ~ ( c_List_Olist__all2 @ SY3088 @ SV384 @ SY3086 @ SV797 @ SY3087 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1801]) ).
thf(2221,plain,
! [SV798: $i,SV385: $i] :
( ( ( ( c_List_Oremdups @ SV385 @ SV798 )
!= ( c_List_Olist_ONil @ SV798 ) )
| ( SV385
= ( c_List_Olist_ONil @ SV798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(2222,plain,
! [SV799: $i,SV386: $i] :
( ( ! [SY3091: $i] :
( ( ( c_List_Olist_ONil @ SV386 )
!= ( c_List_Oappend @ SV799 @ SY3091 @ SV386 ) )
| ( SV799
= ( c_List_Olist_ONil @ SV386 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1803]) ).
thf(2223,plain,
! [SV800: $i,SV387: $i] :
( ( ! [SY3092: $i,SY3093: $i,SY3094: $i] :
( ( ( c_List_Oappend @ SV387 @ ( c_List_Olist_OCons @ SV800 @ ( c_List_Olist_ONil @ SY3092 ) @ SY3092 ) @ SY3092 )
!= ( c_List_Oappend @ SY3093 @ ( c_List_Olist_OCons @ SY3094 @ ( c_List_Olist_ONil @ SY3092 ) @ SY3092 ) @ SY3092 ) )
| ( SV800 = SY3094 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1804]) ).
thf(2224,plain,
! [SV801: $i,SV388: $i] :
( ( ! [SY3095: $i] :
( ( ( c_List_Odrop @ SV388 @ SV801 @ SY3095 )
!= ( c_List_Olist_ONil @ SY3095 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV801 @ ( tc_List_Olist @ SY3095 ) ) @ SV388 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1805]) ).
thf(2225,plain,
! [SV802: $i,SV389: $i] :
( ( ! [SY3096: $i,SY3097: $i] :
( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SY3096 @ SV802 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY3096 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SY3097 @ SV802 ) @ SV802 )
!= SY3097 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SY3096 @ SV802 )
!= SV389 )
| ( SY3096
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SY3096 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) )
| ( ( c_List_Oappend @ SY3096 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY3096 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SY3097 @ SV802 ) @ SV802 )
= ( c_List_Oappend @ SV389 @ SY3097 @ SV802 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1806]) ).
thf(2226,plain,
! [SV803: $i,SV390: $i] :
( ( ! [SY3098: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV390 @ SV803 @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ SY3098 @ SV803 @ tc_nat ) )
| ~ ( c_lessequals @ SV803 @ SY3098 @ tc_nat )
| ~ ( c_lessequals @ SV803 @ SV390 @ tc_nat )
| ( SV390 = SY3098 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(2227,plain,
! [SV804: $i,SV391: $i] :
( ( ! [SY3099: $i,SY3100: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV391 ) @ SV804 )
!= ( c_List_Olist_OCons @ SY3099 @ SY3100 @ SV391 ) )
| ( SV804
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV391 ) @ SY3100 ) @ ( c_List_Olist_OCons @ SY3099 @ ( c_List_Olist_ONil @ SV391 ) @ SV391 ) @ SV391 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1810]) ).
thf(2228,plain,
! [SV805: $i,SV392: $i] :
( ( ! [SY3101: $i,SY3102: $i,SY3103: $i] :
( ( ( c_List_Olist_OCons @ SV392 @ SV805 @ SY3101 )
!= ( c_List_Ofilter @ SY3102 @ SY3103 @ SY3101 ) )
| ( hBOOL @ ( hAPP @ SY3102 @ SV392 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1811]) ).
thf(2229,plain,
! [SV806: $i,SV393: $i] :
( ( ! [SY3104: $i] :
( ( c_List_Olist_OCons @ SV393 @ SV806 @ SY3104 )
!= SV806 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1812]) ).
thf(2230,plain,
! [SV807: $i,SV394: $i] :
( ( ! [SY3105: $i,SY3106: $i] :
( ( ( c_Event_Oevent_OGets @ SV394 @ SV807 )
!= ( c_Event_Oevent_OGets @ SY3105 @ SY3106 ) )
| ( SV807 = SY3106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1813]) ).
thf(2231,plain,
! [SV808: $i,SV395: $i] :
( ( ! [SY3107: $i,SY3108: $i,SY3109: $i] :
( ( ( c_List_Olist_OCons @ SV395 @ SV808 @ SY3107 )
!= ( c_List_Olist_OCons @ SY3108 @ SY3109 @ SY3107 ) )
| ( SV395 = SY3108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1814]) ).
thf(2232,plain,
! [SV809: $i,SV396: $i] :
( ( ( ( c_List_Oremdups @ SV396 @ SV809 )
!= SV396 )
| ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV396 @ SV809 ) @ ( tc_List_Olist @ SV809 ) )
= ( c_Nat_Osize__class_Osize @ SV396 @ ( tc_List_Olist @ SV809 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1815]) ).
thf(2233,plain,
! [SV810: $i,SV397: $i] :
( ( ! [SY3110: $i,SY3111: $i] :
( ( SV397
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SY3110 @ SV810 ) )
| ( ( c_List_Oappend @ SV397 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SY3110 @ SV810 ) @ SY3111 @ SV810 ) @ SV810 )
= ( c_List_Oappend @ SY3110 @ SY3111 @ SV810 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SY3110 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1816]) ).
thf(2234,plain,
! [SV811: $i,SV398: $i] :
( ( ! [SY3112: $i,SY3113: $i,SY3114: $i,SY3115: $i] :
( ( ( c_Event_Oevent_OSays @ SV398 @ SV811 @ SY3112 )
!= ( c_Event_Oevent_OSays @ SY3113 @ SY3114 @ SY3115 ) )
| ( SV811 = SY3114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1817]) ).
thf(2235,plain,
! [SV812: $i,SV399: $i] :
( ( ! [SY3116: $i,SY3117: $i,SY3118: $i] :
( ( ( c_List_Oappend @ SV399 @ SV812 @ SY3116 )
!= ( c_List_Oappend @ SY3117 @ SY3118 @ SY3116 ) )
| ( SV399
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SY3116 ) ) @ SY3117 @ SY3116 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SY3116 ) ) @ ( c_Nat_Osize__class_Osize @ SY3117 @ ( tc_List_Olist @ SY3116 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(2236,plain,
! [SV813: $i,SV400: $i] :
( ( ! [SY3119: $i] :
( ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Olist_ONil @ SV813 ) @ SV813 )
!= ( hAPP @ ( c_List_Orev @ SV813 ) @ SY3119 ) )
| ( SY3119
= ( c_List_Olist_OCons @ SV400 @ ( c_List_Olist_ONil @ SV813 ) @ SV813 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1819]) ).
thf(2237,plain,
! [SV814: $i,SV401: $i] :
( ( ! [SY3120: $i,SY3121: $i,SY3122: $i,SY3123: $i,SY3124: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SV814 ) )
!= ( c_Nat_Osize__class_Osize @ SY3120 @ ( tc_List_Olist @ SY3121 ) ) )
| ( c_List_Olist__all2 @ SY3122 @ SV401 @ SY3120 @ SV814 @ SY3121 )
| ~ ( c_List_Olist__all2 @ SY3122 @ ( c_List_Oappend @ SV401 @ SY3123 @ SV814 ) @ ( c_List_Oappend @ SY3120 @ SY3124 @ SY3121 ) @ SV814 @ SY3121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1820]) ).
thf(2238,plain,
! [SV815: $i,SV402: $i] :
( ( ! [SY3125: $i,SY3126: $i,SY3127: $i,SY3128: $i,SY3129: $i] :
( ( ( hAPP @ SV402 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SY3125 @ SY3126 ) )
!= ( hAPP @ SY3125 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SY3125 @ SY3126 ) ) )
| ( SV815 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY3127 @ SV402 @ SY3128 @ SV815 @ SY3126 )
= ( c_Message_Oagent_Oagent__case @ SY3129 @ SY3125 @ SY3128 @ SV815 @ SY3126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1821]) ).
thf(2239,plain,
! [SV816: $i,SV403: $i] :
( ( ! [SY3130: $i,SY3131: $i,SY3132: $i,SY3133: $i] :
( ( ( c_Event_Oevent_OSays @ SV403 @ SV816 @ SY3130 )
!= ( c_Event_Oevent_OSays @ SY3131 @ SY3132 @ SY3133 ) )
| ( SV403 = SY3131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1822]) ).
thf(2240,plain,
! [SV817: $i,SV404: $i] :
( ( ! [SY3134: $i,SY3135: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ SV404 )
| ( ( c_HOL_Ominus__class_Ominus @ SV817 @ SV817 @ SV404 )
!= ( c_HOL_Ominus__class_Ominus @ SY3134 @ SY3135 @ SV404 ) )
| ( SY3134 = SY3135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1824]) ).
thf(2241,plain,
! [SV818: $i,SV405: $i] :
( ( ! [SY3136: $i,SY3137: $i,SY3138: $i] :
( ( ( c_List_OdropWhile @ SV405 @ SV818 @ SY3136 )
!= ( c_List_Olist_OCons @ SY3137 @ SY3138 @ SY3136 ) )
| ~ ( hBOOL @ ( hAPP @ SV405 @ SY3137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1825]) ).
thf(2242,plain,
! [SV819: $i,SV406: $i] :
( ( ! [SY3139: $i,SY3140: $i,SY3141: $i,SY3142: $i] :
( ~ ( class_Divides_Oring__div @ SV406 )
| ( ( c_Divides_Odiv__class_Omod @ SV819 @ SY3139 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SY3140 @ SY3139 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ SY3141 @ SY3139 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SY3142 @ SY3139 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3141 @ SV819 @ SV406 ) @ SY3139 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3142 @ SY3140 @ SV406 ) @ SY3139 @ SV406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1826]) ).
thf(2243,plain,
! [SV820: $i,SV407: $i] :
( ( ! [SY3143: $i,SY3144: $i,SY3145: $i,SY3146: $i,SY3147: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SY3143 @ ( tc_List_Olist @ SY3144 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SY3145 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SY3146 @ ( tc_List_Olist @ SY3144 ) ) )
| ( c_List_Olist__all2 @ SY3147 @ ( c_List_Oappend @ SY3146 @ SY3143 @ SY3144 ) @ ( c_List_Oappend @ SY3145 @ SV407 @ SV820 ) @ SY3144 @ SV820 )
| ~ ( c_List_Olist__all2 @ SY3147 @ SY3143 @ SV407 @ SY3144 @ SV820 )
| ~ ( c_List_Olist__all2 @ SY3147 @ SY3146 @ SY3145 @ SY3144 @ SV820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1827]) ).
thf(2244,plain,
! [SV821: $i,SV408: $i] :
( ( ! [SY3148: $i] :
( ( ( c_List_Oappend @ SV408 @ SV821 @ SY3148 )
!= ( c_List_Olist_ONil @ SY3148 ) )
| ( SV408
= ( c_List_Olist_ONil @ SY3148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1828]) ).
thf(2245,plain,
! [SV822: $i,SV409: $i] :
( ( ! [SY3149: $i,SY3150: $i] :
( ( ( c_List_Oappend @ SV409 @ SV822 @ SY3149 )
!= ( c_List_Oappend @ SY3150 @ SV822 @ SY3149 ) )
| ( SV409 = SY3150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1829]) ).
thf(2246,plain,
! [SV823: $i,SV410: $i] :
( ( ! [SY3151: $i,SY3152: $i,SY3153: $i,SY3154: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV410 @ ( tc_List_Olist @ SV823 ) )
!= ( c_Nat_Osize__class_Osize @ SY3151 @ ( tc_List_Olist @ SY3152 ) ) )
| ( ( c_Map_Omap__upds @ SY3153 @ ( c_List_Oappend @ SV410 @ SY3154 @ SV823 ) @ SY3151 @ SV823 @ SY3152 )
= ( c_Map_Omap__upds @ SY3153 @ SV410 @ SY3151 @ SV823 @ SY3152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1830]) ).
thf(2247,plain,
! [SV824: $i,SV411: $i] :
( ( ! [SY3155: $i,SY3156: $i,SY3157: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV411 )
| ( ( c_HOL_Ominus__class_Ominus @ SV824 @ SY3155 @ SV411 )
!= ( c_HOL_Ominus__class_Ominus @ SY3156 @ SY3157 @ SV411 ) )
| ( c_lessequals @ SY3157 @ SY3156 @ SV411 )
| ~ ( c_lessequals @ SY3155 @ SV824 @ SV411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1831]) ).
thf(2248,plain,
! [SV825: $i,SV412: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV412 )
!= ( c_Message_Oagent_OFriend @ SV825 ) )
| ( SV412 = SV825 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1832]) ).
thf(2249,plain,
! [SV826: $i,SV413: $i] :
( ( ! [SY3158: $i,SY3159: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ SV413 )
| ( ( c_HOL_Ominus__class_Ominus @ SV826 @ SY3158 @ SV413 )
!= ( c_HOL_Ominus__class_Ominus @ SY3159 @ SY3159 @ SV413 ) )
| ( SV826 = SY3158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1833]) ).
thf(2250,plain,
! [SV827: $i,SV414: $i] :
( ( ! [SY3160: $i,SY3161: $i,SY3162: $i,SY3163: $i,SY3164: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SV827 ) )
!= ( c_Nat_Osize__class_Osize @ SY3160 @ ( tc_List_Olist @ SY3161 ) ) )
| ( c_List_Olist__all2 @ SY3162 @ SY3163 @ SY3164 @ SV827 @ SY3161 )
| ~ ( c_List_Olist__all2 @ SY3162 @ ( c_List_Oappend @ SV414 @ SY3163 @ SV827 ) @ ( c_List_Oappend @ SY3160 @ SY3164 @ SY3161 ) @ SV827 @ SY3161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1834]) ).
thf(2251,plain,
! [SV828: $i,SV415: $i] :
( ( ! [SY3165: $i] :
( ( c_List_Olist_ONil @ SV415 )
!= ( c_List_Olist_OCons @ SV828 @ SY3165 @ SV415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1835]) ).
thf(2252,plain,
! [SV416: $i] :
( ( ( c_Message_Oagent_OFriend @ SV416 )
= c_Message_Oagent_OServer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1836]) ).
thf(2253,plain,
! [SV829: $i,SV417: $i] :
( ( ! [SY3166: $i,SY3167: $i,SY3168: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV417 )
| ( ( c_HOL_Ominus__class_Ominus @ SV829 @ SY3166 @ SV417 )
!= ( c_HOL_Ominus__class_Ominus @ SY3167 @ SY3168 @ SV417 ) )
| ( c_lessequals @ SY3166 @ SV829 @ SV417 )
| ~ ( c_lessequals @ SY3168 @ SY3167 @ SV417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1837]) ).
thf(2254,plain,
! [SV830: $i,SV418: $i] :
( ( ! [SY3169: $i] :
( ( SV418
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV418 @ ( tc_List_Olist @ SV830 ) ) @ SY3169 @ SV830 ) )
| ( ( c_List_Oappend @ SV418 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV418 @ ( tc_List_Olist @ SV830 ) ) @ SY3169 @ SV830 ) @ SV830 )
= SY3169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1838]) ).
thf(2255,plain,
! [SV831: $i,SV419: $i] :
( ( ( ( c_List_Orotate1 @ SV419 @ SV831 )
!= ( c_List_Olist_ONil @ SV831 ) )
| ( SV419
= ( c_List_Olist_ONil @ SV831 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1839]) ).
thf(2256,plain,
! [SV832: $i,SV420: $i] :
( ( ! [SY3170: $i,SY3171: $i,SY3172: $i] :
( ( ( c_List_Oappend @ SV420 @ ( c_List_Olist_OCons @ SV832 @ ( c_List_Olist_ONil @ SY3170 ) @ SY3170 ) @ SY3170 )
!= ( c_List_Oappend @ SY3171 @ ( c_List_Olist_OCons @ SY3172 @ ( c_List_Olist_ONil @ SY3170 ) @ SY3170 ) @ SY3170 ) )
| ( SV420 = SY3171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(2257,plain,
! [SV833: $i,SV421: $i] :
( ( ( ( c_List_Olist_ONil @ SV421 )
!= ( c_List_Oremdups @ SV833 @ SV421 ) )
| ( SV833
= ( c_List_Olist_ONil @ SV421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1841]) ).
thf(2258,plain,
! [SV834: $i,SV422: $i] :
( ( ! [SY3173: $i,SY3174: $i,SY3175: $i,SY3176: $i] :
( ( ( c_Event_Oevent_OSays @ SV422 @ SV834 @ SY3173 )
!= ( c_Event_Oevent_OSays @ SY3174 @ SY3175 @ SY3176 ) )
| ( SY3173 = SY3176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1842]) ).
thf(2259,plain,
! [SV835: $i,SV423: $i] :
( ( ! [SY3177: $i,SY3178: $i,SY3179: $i] :
( ( ( c_List_Ofilter @ SV423 @ SV835 @ SY3177 )
!= ( c_List_Olist_OCons @ SY3178 @ SY3179 @ SY3177 ) )
| ( hBOOL @ ( hAPP @ SV423 @ SY3178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1843]) ).
thf(2260,plain,
! [SV836: $i,SV424: $i] :
( ( ! [SY3180: $i,SY3181: $i,SY3182: $i,SY3183: $i,SY3184: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SY3180 @ ( tc_List_Olist @ SY3181 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SY3182 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SY3183 @ ( tc_List_Olist @ SY3181 ) ) )
| ( c_List_Olist__all2 @ SY3184 @ ( c_List_Oappend @ SY3182 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SY3183 @ SY3180 @ SY3181 ) @ SV836 @ SY3181 )
| ~ ( c_List_Olist__all2 @ SY3184 @ SV424 @ SY3180 @ SV836 @ SY3181 )
| ~ ( c_List_Olist__all2 @ SY3184 @ SY3182 @ SY3183 @ SV836 @ SY3181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1844]) ).
thf(2261,plain,
! [SV837: $i,SV425: $i] :
( ( ! [SY3185: $i,SY3186: $i,SY3187: $i,SY3188: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV425 @ ( tc_List_Olist @ SV837 ) )
!= ( c_Nat_Osize__class_Osize @ SY3185 @ ( tc_List_Olist @ SY3186 ) ) )
| ( ( c_Map_Omap__upds @ SY3187 @ SV425 @ ( c_List_Oappend @ SY3185 @ SY3188 @ SY3186 ) @ SV837 @ SY3186 )
= ( c_Map_Omap__upds @ SY3187 @ SV425 @ SY3185 @ SV837 @ SY3186 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1845]) ).
thf(2262,plain,
! [SV838: $i,SV426: $i] :
( ( ! [SY3189: $i,SY3190: $i] :
( ( ( c_List_Olist__update @ SV426 @ SV838 @ SY3189 @ SY3190 )
!= ( c_List_Olist_ONil @ SY3190 ) )
| ( SV426
= ( c_List_Olist_ONil @ SY3190 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1846]) ).
thf(2263,plain,
! [SV839: $i,SV427: $i] :
( ( ! [SY3191: $i,SY3192: $i,SY3193: $i] :
( ( c_Event_Oevent_OGets @ SV427 @ SV839 )
!= ( c_Event_Oevent_OSays @ SY3191 @ SY3192 @ SY3193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1847]) ).
thf(2264,plain,
! [SV840: $i,SV428: $i] :
( ( ! [SY3194: $i,SY3195: $i] :
( ( ( c_Event_Oevent_OGets @ SV428 @ SV840 )
!= ( c_Event_Oevent_OGets @ SY3194 @ SY3195 ) )
| ( SV428 = SY3194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1848]) ).
thf(2265,plain,
! [SV429: $i] :
( ( ( c_Message_Oagent_OFriend @ SV429 )
= c_Message_Oagent_OSpy )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(2266,plain,
! [SV841: $i,SV430: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV430 @ SV841 ) @ ( tc_List_Olist @ SV841 ) )
!= ( c_Nat_Osize__class_Osize @ SV430 @ ( tc_List_Olist @ SV841 ) ) )
| ( ( c_List_Oremdups @ SV430 @ SV841 )
= SV430 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1850]) ).
thf(2267,plain,
! [SV842: $i,SV431: $i,SV1: $i] :
( ( ! [SY3196: $i,SY3197: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV1 @ SV431 ) @ ( c_Event_Oknows @ SV1 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV842 @ SY3196 @ SY3197 ) @ SV431 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1851]) ).
thf(2268,plain,
! [SV843: $i,SV432: $i,SV2: $i] :
( ( ! [SY3198: $i] :
( ( c_Event_Oknows @ SV2 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV2 @ SV432 @ SV843 ) @ SY3198 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV843 @ ( c_Event_Oknows @ SV2 @ SY3198 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1852]) ).
thf(2269,plain,
! [SV844: $i,SV433: $i,SV3: $i] :
( ( ! [SY3199: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV3 @ SV433 @ SV844 ) @ SY3199 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV844 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3199 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1853]) ).
thf(2270,plain,
! [SV845: $i,SV434: $i,SV4: $i] :
( ( ! [SY3200: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV4 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV434 @ SV845 @ SY3200 ) @ SV4 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1854]) ).
thf(2271,plain,
! [SV846: $i,SV435: $i,SV5: $i] :
( ( ( ( c_List_Odrop @ SV5 @ SV435 @ SV846 )
= ( c_List_Olist_ONil @ SV846 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV435 @ ( tc_List_Olist @ SV846 ) ) @ SV5 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1855]) ).
thf(2272,plain,
! [SV847: $i,SV436: $i,SV6: $i] :
( ( ! [SY3201: $i] :
( ( c_List_Otake @ SV6 @ ( c_List_Oappend @ SV436 @ SV847 @ SY3201 ) @ SY3201 )
= ( c_List_Oappend @ ( c_List_Otake @ SV6 @ SV436 @ SY3201 ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV6 @ ( c_Nat_Osize__class_Osize @ SV436 @ ( tc_List_Olist @ SY3201 ) ) @ tc_nat ) @ SV847 @ SY3201 ) @ SY3201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1856]) ).
thf(2273,plain,
! [SV848: $i,SV437: $i,SV7: $i] :
( ( ! [SY3202: $i] :
( ( c_List_Odrop @ SV7 @ ( c_List_Oappend @ SV437 @ SV848 @ SY3202 ) @ SY3202 )
= ( c_List_Oappend @ ( c_List_Odrop @ SV7 @ SV437 @ SY3202 ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ SV7 @ ( c_Nat_Osize__class_Osize @ SV437 @ ( tc_List_Olist @ SY3202 ) ) @ tc_nat ) @ SV848 @ SY3202 ) @ SY3202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1857]) ).
thf(2274,plain,
! [SV849: $i,SV438: $i,SV8: $i] :
( ( ! [SY3203: $i,SY3204: $i] :
( ( hBOOL @ ( hAPP @ SV8 @ ( c_Message_Oagent_Oagent__case @ SV438 @ SV849 @ SY3203 @ SY3204 @ t_a ) ) )
| ( SY3204 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV8 @ ( hAPP @ SV849 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV8 @ SV849 @ SY3204 ) ) ) )
| ( SY3204 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1858]) ).
thf(2275,plain,
! [SV850: $i,SV439: $i,SV9: $i] :
( ( ! [SY3205: $i,SY3206: $i] :
( ( hBOOL @ ( hAPP @ SV9 @ ( c_Message_Oagent_Oagent__case @ SV439 @ SV850 @ SY3205 @ SY3206 @ t_a ) ) )
| ( SY3206 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV9 @ ( hAPP @ SV850 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV9 @ SV850 @ SY3206 ) ) ) )
| ( SY3206 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1859]) ).
thf(2276,plain,
! [SV851: $i,SV440: $i,SV10: $i] :
( ( ! [SY3207: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV10 @ SV440 ) @ ( c_Event_Oknows @ SV10 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV851 @ SY3207 ) @ SV440 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1860]) ).
thf(2277,plain,
! [SV852: $i,SV441: $i,SV11: $i] :
( ( ! [SY3208: $i,SY3209: $i] :
( ( hBOOL @ ( hAPP @ SV11 @ ( c_Message_Oagent_Oagent__case @ SV441 @ SV852 @ SY3208 @ SY3209 @ t_a ) ) )
| ( SY3209 = c_Message_Oagent_OSpy )
| ( SY3209
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV11 @ SV852 @ SY3209 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV11 @ SV441 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1861]) ).
thf(2278,plain,
! [SV853: $i,SV442: $i,SV12: $i] :
( ( ! [SY3210: $i,SY3211: $i,SY3212: $i,SY3213: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV12 @ SV442 @ SV853 @ SY3210 @ SY3211 )
= ( c_Message_Oagent_Oagent__case @ SV12 @ SY3212 @ SY3213 @ SY3210 @ SY3211 ) )
| ( SY3210 = c_Message_Oagent_OSpy )
| ( SY3210
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY3210 @ SV442 @ SY3212 @ SY3211 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1862]) ).
thf(2279,plain,
! [SV854: $i,SV443: $i,SV13: $i] :
( ( ! [SY3214: $i,SY3215: $i] :
( ( hBOOL @ ( hAPP @ SV13 @ ( c_Message_Oagent_Oagent__case @ SV443 @ SV854 @ SY3214 @ SY3215 @ t_a ) ) )
| ( SY3215 = c_Message_Oagent_OSpy )
| ( SY3215
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV13 @ SV854 @ SY3215 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV13 @ SV443 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1863]) ).
thf(2280,plain,
! [SV855: $i,SV444: $i,SV14: $i] :
( ( ! [SY3216: $i,SY3217: $i] :
( ( hBOOL @ ( hAPP @ SV14 @ ( c_Message_Oagent_Oagent__case @ SV444 @ SV855 @ SY3216 @ SY3217 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV14 @ SY3216 ) )
| ( SY3217
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV14 @ SV855 @ SY3217 ) ) )
| ( SY3217 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1864]) ).
thf(2281,plain,
! [SV856: $i,SV445: $i,SV15: $i] :
( ( ! [SY3218: $i,SY3219: $i,SY3220: $i,SY3221: $i] :
( ( SV15
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV15 @ SV445 @ SV856 @ SY3218 ) ) )
| ( SV15 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY3219 @ SV445 @ SY3220 @ SV15 @ SY3218 )
= ( c_Message_Oagent_Oagent__case @ SY3221 @ SV856 @ SY3220 @ SV15 @ SY3218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1865]) ).
thf(2282,plain,
! [SV857: $i,SV446: $i,SV16: $i] :
( ( ! [SY3222: $i,SY3223: $i] :
( ( hBOOL @ ( hAPP @ SV16 @ ( c_Message_Oagent_Oagent__case @ SV446 @ SV857 @ SY3222 @ SY3223 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV16 @ SY3222 ) )
| ( SY3223
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV16 @ SV857 @ SY3223 ) ) )
| ( SY3223 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1866]) ).
thf(2283,plain,
! [SV858: $i,SV447: $i,SV17: $i] :
( ( ! [SY3224: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV17 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV447 @ SV858 @ SY3224 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY3224 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV17 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1867]) ).
thf(2284,plain,
! [SV859: $i,SV448: $i,SV18: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV18 @ ( c_List_Olist_OCons @ SV448 @ ( c_List_Olist_ONil @ SV859 ) @ SV859 ) @ SV859 ) @ SV859 )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1868]) ).
thf(2285,plain,
! [SV860: $i,SV449: $i,SV21: $i] :
( ( ! [SY3225: $i,SY3226: $i] :
( ~ ( class_HOL_Oord @ SV21 )
| ( c_lessequals @ ( hAPP @ SV449 @ SV860 ) @ ( hAPP @ SY3225 @ SV860 ) @ SV21 )
| ~ ( c_lessequals @ SV449 @ SY3225 @ ( tc_fun @ SY3226 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1869]) ).
thf(2286,plain,
! [SV861: $i,SV450: $i,SV22: $i] :
( ( ! [SY3227: $i,SY3228: $i] :
( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV861 @ SY3227 @ SY3228 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SY3227 ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SV861 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SV861 @ SY3228 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV450 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1870]) ).
thf(2287,plain,
! [SV451: $i,SV23: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV23 @ ( c_HOL_Ominus__class_Ominus @ SV23 @ SV451 @ tc_nat ) @ tc_nat )
= SV451 )
= $true )
| ( ( ~ ( c_lessequals @ SV451 @ SV23 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1871]) ).
thf(2288,plain,
! [SV862: $i,SV452: $i,SV24: $i] :
( ( ( c_List_Obutlast @ ( c_List_Odrop @ SV24 @ SV452 @ SV862 ) @ SV862 )
= ( c_List_Odrop @ SV24 @ ( c_List_Obutlast @ SV452 @ SV862 ) @ SV862 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(2289,plain,
! [SV863: $i,SV453: $i,SV25: $i] :
( ( ! [SY3229: $i] :
( ~ ( class_Divides_Oring__div @ SV25 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV453 @ SV863 @ SV25 ) @ SY3229 @ SV25 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV453 @ SY3229 @ SV25 ) @ ( c_Divides_Odiv__class_Omod @ SV863 @ SY3229 @ SV25 ) @ SV25 ) @ SY3229 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(2290,plain,
! [SV864: $i,SV455: $i,SV27: $i] :
( ( ! [SY3230: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV27 @ SV455 @ SV864 ) @ SY3230 ) )
| ~ ( hBOOL @ ( hAPP @ SV455 @ SY3230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1875]) ).
thf(2291,plain,
! [SV865: $i,SV456: $i,SV28: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV28 @ SV456 @ tc_nat ) @ SV865 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV28 @ SV865 @ tc_nat ) @ SV456 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1876]) ).
thf(2292,plain,
! [SV866: $i,SV457: $i,SV29: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV29 @ SV457 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV866 @ SV457 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV29 @ SV866 @ tc_nat ) )
| ~ ( c_lessequals @ SV457 @ SV866 @ tc_nat )
| ~ ( c_lessequals @ SV457 @ SV29 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1877]) ).
thf(2293,plain,
! [SV867: $i,SV459: $i,SV31: $i] :
( ( ( c_List_Otl @ ( c_List_Odrop @ SV31 @ SV459 @ SV867 ) @ SV867 )
= ( c_List_Odrop @ SV31 @ ( c_List_Otl @ SV459 @ SV867 ) @ SV867 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1879]) ).
thf(2294,plain,
! [SV868: $i,SV460: $i,SV32: $i] :
( ( ( c_List_Odrop @ SV32 @ ( c_List_Obutlast @ SV460 @ SV868 ) @ SV868 )
= ( c_List_Obutlast @ ( c_List_Odrop @ SV32 @ SV460 @ SV868 ) @ SV868 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1880]) ).
thf(2295,plain,
! [SV869: $i,SV461: $i,SV33: $i] :
( ( ( c_lessequals @ SV33 @ SV461 @ tc_nat )
| ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV33 @ SV869 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV461 @ SV869 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV869 @ SV461 @ tc_nat )
| ~ ( c_lessequals @ SV869 @ SV33 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1881]) ).
thf(2296,plain,
! [SV870: $i,SV462: $i,SV34: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV34 @ SV462 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV870 @ SV462 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV34 @ SV870 @ tc_nat )
| ~ ( c_lessequals @ SV462 @ SV870 @ tc_nat )
| ~ ( c_lessequals @ SV462 @ SV34 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1882]) ).
thf(2297,plain,
! [SV871: $i,SV463: $i,SV35: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV35 @ SV463 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV871 @ SV463 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV35 @ SV871 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1883]) ).
thf(2298,plain,
! [SV872: $i,SV464: $i,SV36: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV36 @ SV464 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV36 @ SV872 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV872 @ SV464 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1884]) ).
thf(2299,plain,
! [SV873: $i,SV465: $i,SV37: $i] :
( ( ! [SY3231: $i] :
( ( c_Set_Oinsert @ SV37 @ ( c_Set_Oinsert @ SV465 @ SV873 @ SY3231 ) @ SY3231 )
= ( c_Set_Oinsert @ SV465 @ ( c_Set_Oinsert @ SV37 @ SV873 @ SY3231 ) @ SY3231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1885]) ).
thf(2300,plain,
! [SV874: $i,SV466: $i,SV38: $i] :
( ( ! [SY3232: $i] :
( ~ ( class_Divides_Oring__div @ SV38 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV466 @ SV874 @ SV38 ) @ SY3232 @ SV38 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV466 @ ( c_Divides_Odiv__class_Omod @ SV874 @ SY3232 @ SV38 ) @ SV38 ) @ SY3232 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1886]) ).
thf(2301,plain,
! [SV875: $i,SV467: $i,SV39: $i] :
( ( ! [SY3233: $i] :
( ~ ( class_Divides_Oring__div @ SV39 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV467 @ SV875 @ SV39 ) @ SY3233 @ SV39 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV467 @ SY3233 @ SV39 ) @ SV875 @ SV39 ) @ SY3233 @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1887]) ).
thf(2302,plain,
! [SV876: $i,SV468: $i,SV40: $i] :
( ( ! [SY3234: $i,SY3235: $i] :
( ( c_Fun_Oinj__on @ SV40 @ SV468 @ SV876 @ SY3234 )
| ~ ( c_Fun_Oinj__on @ SV40 @ ( c_Set_Oinsert @ SY3235 @ SV468 @ SV876 ) @ SV876 @ SY3234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1888]) ).
thf(2303,plain,
! [SV877: $i,SV469: $i,SV41: $i] :
( ( ( c_List_Odrop @ SV41 @ ( c_List_Otl @ SV469 @ SV877 ) @ SV877 )
= ( c_List_Otl @ ( c_List_Odrop @ SV41 @ SV469 @ SV877 ) @ SV877 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1889]) ).
thf(2304,plain,
! [SV878: $i,SV470: $i,SV42: $i] :
( ( ! [SY3236: $i] :
( ( c_lessequals @ SV42 @ SV470 @ ( tc_fun @ SV878 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY3236 @ SV42 @ SV878 ) @ SV470 @ ( tc_fun @ SV878 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1890]) ).
thf(2305,plain,
! [SV879: $i,SV471: $i,SV43: $i] :
( ( ! [SY3237: $i] :
( ( c_lessequals @ SV43 @ ( c_Set_Oinsert @ SV471 @ SV879 @ SY3237 ) @ ( tc_fun @ SY3237 @ tc_bool ) )
| ~ ( c_lessequals @ SV43 @ SV879 @ ( tc_fun @ SY3237 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1891]) ).
thf(2306,plain,
! [SV880: $i,SV472: $i,SV44: $i] :
( ( ~ ( class_Divides_Osemiring__div @ SV44 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ SV472 @ SV880 @ SV44 ) @ SV880 @ SV44 )
= ( c_Divides_Odiv__class_Omod @ SV472 @ SV880 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1892]) ).
thf(2307,plain,
! [SV881: $i,SV473: $i,SV45: $i] :
( ( ( c_Set_Oinsert @ SV45 @ ( c_Set_Oinsert @ SV45 @ SV473 @ SV881 ) @ SV881 )
= ( c_Set_Oinsert @ SV45 @ SV473 @ SV881 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1893]) ).
thf(2308,plain,
! [SV882: $i,SV474: $i,SV46: $i] :
( ( ! [SY3238: $i] :
( ( hBOOL @ ( hAPP @ SV46 @ SV474 ) )
| ( SV882 = SV474 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV882 @ SV46 @ SY3238 ) @ SV474 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1894]) ).
thf(2309,plain,
! [SV883: $i,SV475: $i,SV47: $i] :
( ( c_lessequals @ SV47 @ ( c_Set_Oinsert @ SV475 @ SV47 @ SV883 ) @ ( tc_fun @ SV883 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1895]) ).
thf(2310,plain,
! [SV476: $i,SV48: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV48 @ SV476 @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SV476 @ tc_nat ) @ SV476 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV476 @ SV48 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1896]) ).
thf(2311,plain,
! [SV884: $i,SV477: $i,SV49: $i] :
( ( ( c_List_Otl @ ( c_List_Olist_OCons @ SV49 @ SV477 @ SV884 ) @ SV884 )
= SV477 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1897]) ).
thf(2312,plain,
! [SV885: $i,SV478: $i,SV50: $i] :
( ( ( SV50 = SV478 )
| ~ ( c_lessequals @ SV478 @ SV50 @ ( tc_fun @ SV885 @ tc_bool ) )
| ~ ( c_lessequals @ SV50 @ SV478 @ ( tc_fun @ SV885 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1898]) ).
thf(2313,plain,
! [SV479: $i,SV51: $i] :
( ( ( SV51 = SV479 )
= $true )
| ( ( ~ ( c_lessequals @ SV479 @ SV51 @ tc_nat )
| ~ ( c_lessequals @ SV51 @ SV479 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1899]) ).
thf(2314,plain,
! [SV886: $i,SV480: $i,SV52: $i] :
( ( ( SV52 = SV480 )
| ~ ( c_lessequals @ SV480 @ SV52 @ ( tc_fun @ SV886 @ tc_bool ) )
| ~ ( c_lessequals @ SV52 @ SV480 @ ( tc_fun @ SV886 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1900]) ).
thf(2315,plain,
! [SV887: $i,SV481: $i,SV53: $i] :
( ( ~ ( class_Orderings_Oorder @ SV53 )
| ( SV481 = SV887 )
| ~ ( c_lessequals @ SV887 @ SV481 @ SV53 )
| ~ ( c_lessequals @ SV481 @ SV887 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1901]) ).
thf(2316,plain,
! [SV888: $i,SV482: $i,SV54: $i] :
( ( ~ ( class_Orderings_Oorder @ SV54 )
| ( SV482 = SV888 )
| ~ ( c_lessequals @ SV888 @ SV482 @ SV54 )
| ~ ( c_lessequals @ SV482 @ SV888 @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1902]) ).
thf(2317,plain,
! [SV889: $i,SV483: $i,SV55: $i] :
( ( ~ ( class_Orderings_Oorder @ SV55 )
| ( SV483 = SV889 )
| ~ ( c_lessequals @ SV483 @ SV889 @ SV55 )
| ~ ( c_lessequals @ SV889 @ SV483 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1903]) ).
thf(2318,plain,
! [SV890: $i,SV484: $i,SV56: $i] :
( ( ! [SY3239: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV56 @ SV484 @ SV890 @ SY3239 ) @ SY3239 ) @ ( c_Set_Oinsert @ SV890 @ ( c_List_Oset @ SV56 @ SY3239 ) @ SY3239 ) @ ( tc_fun @ SY3239 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1904]) ).
thf(2319,plain,
! [SV891: $i,SV485: $i,SV57: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV57 @ SV485 @ SV891 ) @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1905]) ).
thf(2320,plain,
! [SV892: $i,SV486: $i,SV58: $i] :
( ( ! [SY3240: $i] :
( ~ ( class_Orderings_Oorder @ SV58 )
| ( c_lessequals @ SV486 @ SV892 @ SV58 )
| ~ ( c_lessequals @ SV486 @ SY3240 @ SV58 )
| ~ ( c_lessequals @ SY3240 @ SV892 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1906]) ).
thf(2321,plain,
! [SV893: $i,SV487: $i,SV59: $i] :
( ( ! [SY3241: $i] :
( ~ ( class_Orderings_Opreorder @ SV59 )
| ( c_lessequals @ SV487 @ SV893 @ SV59 )
| ~ ( c_lessequals @ SY3241 @ SV893 @ SV59 )
| ~ ( c_lessequals @ SV487 @ SY3241 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1907]) ).
thf(2322,plain,
! [SV894: $i,SV488: $i,SV61: $i] :
( ( ( c_lessequals @ SV61 @ SV488 @ tc_nat )
| ~ ( c_lessequals @ SV894 @ SV488 @ tc_nat )
| ~ ( c_lessequals @ SV61 @ SV894 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1908]) ).
thf(2323,plain,
! [SV895: $i,SV491: $i,SV65: $i] :
( ( ! [SY3242: $i] :
( ( c_lessequals @ SV65 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
| ~ ( c_lessequals @ SY3242 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
| ~ ( c_lessequals @ SV65 @ SY3242 @ ( tc_fun @ SV895 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1911]) ).
thf(2324,plain,
! [SV896: $i,SV492: $i,SV66: $i] :
( ( ! [SY3243: $i,SY3244: $i] :
( ( c_Fun_Oinj__on @ SV66 @ SV492 @ SV896 @ SY3243 )
| ~ ( c_lessequals @ SV492 @ SY3244 @ ( tc_fun @ SV896 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV66 @ SY3244 @ SV896 @ SY3243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1912]) ).
thf(2325,plain,
! [SV897: $i,SV493: $i,SV67: $i] :
( ( ! [SY3245: $i] :
( ( hBOOL @ ( hAPP @ SV67 @ SV493 ) )
| ~ ( hBOOL @ ( hAPP @ SV897 @ SV493 ) )
| ~ ( c_lessequals @ SV897 @ SV67 @ ( tc_fun @ SY3245 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1913]) ).
thf(2326,plain,
! [SV494: $i,SV68: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV68 ) )
= $true )
| ( ( c_lessequals @ SV494 @ SV494 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1914]) ).
thf(2327,plain,
! [SV495: $i,SV69: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV69 ) )
= $true )
| ( ( c_lessequals @ SV495 @ SV495 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1915]) ).
thf(2328,plain,
! [SV898: $i,SV496: $i,SV70: $i] :
( ( ! [SY3246: $i] :
( ( hBOOL @ ( hAPP @ SV70 @ SV496 ) )
| ~ ( c_lessequals @ SV898 @ SV70 @ ( tc_fun @ SY3246 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV898 @ SV496 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1916]) ).
thf(2329,plain,
! [SV899: $i,SV497: $i,SV71: $i] :
( ( ! [SY3247: $i,SY3248: $i] :
( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SV497 @ SV899 @ SY3247 @ SY3248 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SY3247 ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV899 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SV899 @ SY3248 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SV497 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1917]) ).
thf(2330,plain,
! [SV900: $i,SV498: $i,SV72: $i] :
( ( ! [SY3249: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV72 @ SV498 @ SV900 ) @ ( c_Set_Oinsert @ SV72 @ SY3249 @ SV900 ) @ ( tc_fun @ SV900 @ tc_bool ) )
| ~ ( c_lessequals @ SV498 @ SY3249 @ ( tc_fun @ SV900 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1918]) ).
thf(2331,plain,
! [SV499: $i,SV73: $i] :
( ( ( c_lessequals @ SV73 @ SV499 @ tc_nat )
= $true )
| ( ( c_lessequals @ SV499 @ SV73 @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1919]) ).
thf(2332,plain,
! [SV901: $i,SV500: $i,SV74: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV74 )
| ( c_lessequals @ SV500 @ SV901 @ SV74 )
| ( c_lessequals @ SV901 @ SV500 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1920]) ).
thf(2333,plain,
! [SV902: $i,SV501: $i,SV75: $i] :
( ( ( c_List_Orotate @ SV75 @ ( hAPP @ ( c_List_Orev @ SV501 ) @ SV902 ) @ SV501 )
= ( hAPP @ ( c_List_Orev @ SV501 ) @ ( c_List_Orotate @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SV902 @ ( tc_List_Olist @ SV501 ) ) @ ( c_Divides_Odiv__class_Omod @ SV75 @ ( c_Nat_Osize__class_Osize @ SV902 @ ( tc_List_Olist @ SV501 ) ) @ tc_nat ) @ tc_nat ) @ SV902 @ SV501 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1921]) ).
thf(2334,plain,
! [SV903: $i,SV503: $i,SV77: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV77 @ SV503 @ SV903 ) @ SV903 )
= ( c_List_Olist_OCons @ SV77 @ ( c_List_Obutlast @ SV503 @ SV903 ) @ SV903 ) )
| ( SV503
= ( c_List_Olist_ONil @ SV903 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1923]) ).
thf(2335,plain,
! [SV904: $i,SV504: $i,SV78: $i] :
( ( c_lessequals @ ( c_List_Oset @ SV78 @ SV504 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV904 @ SV78 @ SV504 ) @ SV504 ) @ ( tc_fun @ SV504 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1924]) ).
thf(2336,plain,
! [SV905: $i,SV505: $i,SV79: $i] :
( ( ( c_List_Oset @ ( c_List_Olist_OCons @ SV79 @ SV505 @ SV905 ) @ SV905 )
= ( c_Set_Oinsert @ SV79 @ ( c_List_Oset @ SV505 @ SV905 ) @ SV905 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1925]) ).
thf(2337,plain,
! [SV906: $i,SV506: $i,SV80: $i] :
( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ SV80 @ SV506 @ SV906 ) @ ( tc_List_Olist @ SV906 ) ) @ ( c_Nat_Osize__class_Osize @ SV506 @ ( tc_List_Olist @ SV906 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1926]) ).
thf(2338,plain,
! [SV907: $i,SV508: $i,SV82: $i] :
( ( ( ( c_List_Otl @ ( c_List_Oappend @ SV82 @ SV508 @ SV907 ) @ SV907 )
= ( c_List_Oappend @ ( c_List_Otl @ SV82 @ SV907 ) @ SV508 @ SV907 ) )
| ( SV82
= ( c_List_Olist_ONil @ SV907 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1928]) ).
thf(2339,plain,
! [SV908: $i,SV509: $i,SV83: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV83 @ SV509 @ SV908 ) @ SV908 )
= ( c_List_Oappend @ SV83 @ ( c_List_Obutlast @ SV509 @ SV908 ) @ SV908 ) )
| ( SV509
= ( c_List_Olist_ONil @ SV908 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1929]) ).
thf(2340,plain,
! [SV909: $i,SV510: $i,SV84: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Otake @ SV84 @ SV510 @ SV909 ) @ SV909 ) @ ( c_List_Oset @ SV510 @ SV909 ) @ ( tc_fun @ SV909 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1930]) ).
thf(2341,plain,
! [SV910: $i,SV511: $i,SV85: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ SV85 @ SV511 @ SV910 ) @ SV910 ) @ ( c_List_Oset @ SV511 @ SV910 ) @ ( tc_fun @ SV910 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1931]) ).
thf(2342,plain,
! [SV911: $i,SV512: $i,SV86: $i] :
( ( ( ( c_List_Otake @ SV86 @ SV512 @ SV911 )
= SV512 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV512 @ ( tc_List_Olist @ SV911 ) ) @ SV86 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1932]) ).
thf(2343,plain,
! [SV912: $i,SV513: $i,SV87: $i] :
( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Ofilter @ SV87 @ SV513 @ SV912 ) @ ( tc_List_Olist @ SV912 ) ) @ ( c_Nat_Osize__class_Osize @ SV513 @ ( tc_List_Olist @ SV912 ) ) @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1933]) ).
thf(2344,plain,
! [SV913: $i,SV514: $i,SV88: $i] :
( ( ! [SY3250: $i] :
( ~ ( class_Orderings_Olinorder @ SV88 )
| ( c_lessequals @ SV514 @ SV913 @ SV88 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV514 @ ( c_List_Olist_OCons @ SV913 @ SY3250 @ SV88 ) @ SV88 ) @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1934]) ).
thf(2345,plain,
! [SV914: $i,SV515: $i,SV89: $i] :
( ( ! [SY3251: $i] :
( ~ ( class_Orderings_Olinorder @ SV89 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV515 @ ( c_List_Olist_OCons @ SV914 @ SY3251 @ SV89 ) @ SV89 ) @ SV89 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV914 @ SY3251 @ SV89 ) @ SV89 )
| ~ ( c_lessequals @ SV515 @ SV914 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1935]) ).
thf(2346,plain,
! [SV915: $i,SV516: $i,SV90: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Odrop @ SV90 @ SV516 @ SV915 ) @ SV915 ) @ ( c_List_Oset @ SV516 @ SV915 ) @ ( tc_fun @ SV915 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1936]) ).
thf(2347,plain,
! [SV916: $i,SV517: $i,SV91: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Odrop @ SV91 @ SV517 @ SV916 ) @ ( tc_List_Olist @ SV916 ) )
= ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SV517 @ ( tc_List_Olist @ SV916 ) ) @ SV91 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1937]) ).
thf(2348,plain,
! [SV917: $i,SV518: $i,SV92: $i] :
( ( ! [SY3252: $i] :
( ( ( c_List_Olist__update @ SV92 @ SV518 @ SV917 @ SY3252 )
= SV92 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV92 @ ( tc_List_Olist @ SY3252 ) ) @ SV518 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1938]) ).
thf(2349,plain,
! [SV918: $i,SV519: $i,SV93: $i] :
( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_OdropWhile @ SV93 @ SV519 @ SV918 ) @ ( tc_List_Olist @ SV918 ) ) @ ( c_Nat_Osize__class_Osize @ SV519 @ ( tc_List_Olist @ SV918 ) ) @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1939]) ).
thf(2350,plain,
! [SV919: $i,SV520: $i,SV94: $i] :
( ( ! [SY3253: $i] :
( ( c_List_Odrop @ SV94 @ ( c_List_Otake @ SV520 @ SV919 @ SY3253 ) @ SY3253 )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV520 @ SV94 @ tc_nat ) @ ( c_List_Odrop @ SV94 @ SV919 @ SY3253 ) @ SY3253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1940]) ).
thf(2351,plain,
! [SV920: $i,SV521: $i,SV95: $i] :
( ( ( c_List_Orotate @ SV95 @ SV521 @ SV920 )
= ( c_List_Orotate @ ( c_Divides_Odiv__class_Omod @ SV95 @ ( c_Nat_Osize__class_Osize @ SV521 @ ( tc_List_Olist @ SV920 ) ) @ tc_nat ) @ SV521 @ SV920 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1941]) ).
thf(2352,plain,
! [SV921: $i,SV522: $i,SV96: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ SV96 @ SV522 @ SV921 ) @ SV921 ) @ ( c_List_Oset @ SV522 @ SV921 ) @ ( tc_fun @ SV921 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1942]) ).
thf(2353,plain,
! [SV922: $i,SV524: $i,SV98: $i] :
( ( ! [SY3254: $i,SY3255: $i] :
( ( hBOOL @ ( hAPP @ SV98 @ ( c_Message_Oagent_Oagent__case @ SV524 @ SV922 @ SY3254 @ SY3255 @ t_a ) ) )
| ( SY3255 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV98 @ ( hAPP @ SV922 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV98 @ SV922 @ SY3255 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ SV524 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1944]) ).
thf(2354,plain,
! [SV923: $i,SV525: $i,SV99: $i] :
( ( ! [SY3256: $i,SY3257: $i] :
( ( hBOOL @ ( hAPP @ SV99 @ ( c_Message_Oagent_Oagent__case @ SV525 @ SV923 @ SY3256 @ SY3257 @ t_a ) ) )
| ( SY3257 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV99 @ ( hAPP @ SV923 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV99 @ SV923 @ SY3257 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV99 @ SV525 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1945]) ).
thf(2355,plain,
! [SV924: $i,SV526: $i,SV100: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV100 @ SV526 ) @ ( c_Event_Oknows @ SV100 @ ( c_List_Olist_OCons @ SV924 @ SV526 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1946]) ).
thf(2356,plain,
! [SV925: $i,SV527: $i,SV101: $i] :
( ( ! [SY3258: $i] :
( ( c_List_Odrop @ SV101 @ ( c_List_Oreplicate @ SV527 @ SV925 @ SY3258 ) @ SY3258 )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ SV527 @ SV101 @ tc_nat ) @ SV925 @ SY3258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1947]) ).
thf(2357,plain,
! [SV926: $i,SV528: $i,SV102: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Osublist @ SV102 @ SV528 @ SV926 ) @ SV926 ) @ ( c_List_Oset @ SV102 @ SV926 ) @ ( tc_fun @ SV926 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1948]) ).
thf(2358,plain,
! [SV927: $i,SV529: $i,SV103: $i] :
( ( ! [SY3259: $i,SY3260: $i] :
( ( hBOOL @ ( hAPP @ SV103 @ ( c_Message_Oagent_Oagent__case @ SV529 @ SV927 @ SY3259 @ SY3260 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ SY3259 ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ ( hAPP @ SV927 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV103 @ SV927 @ SY3260 ) ) ) )
| ( SY3260 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1949]) ).
thf(2359,plain,
! [SV928: $i,SV530: $i,SV104: $i] :
( ( ! [SY3261: $i,SY3262: $i] :
( ( hBOOL @ ( hAPP @ SV104 @ ( c_Message_Oagent_Oagent__case @ SV530 @ SV928 @ SY3261 @ SY3262 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ SY3261 ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ ( hAPP @ SV928 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV104 @ SV928 @ SY3262 ) ) ) )
| ( SY3262 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1950]) ).
thf(2360,plain,
! [SV929: $i,SV531: $i,SV105: $i] :
( ( ! [SY3263: $i,SY3264: $i,SY3265: $i] :
( ( SV105
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV105 @ SV531 @ SV929 @ SY3263 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY3264 @ SV531 @ SY3265 @ SV105 @ SY3263 )
= ( c_Message_Oagent_Oagent__case @ SY3264 @ SV929 @ SY3265 @ SV105 @ SY3263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1951]) ).
thf(2361,plain,
! [SV930: $i,SV532: $i,SV106: $i] :
( ( ! [SY3266: $i,SY3267: $i] :
( ( hBOOL @ ( hAPP @ SV106 @ ( c_Message_Oagent_Oagent__case @ SV532 @ SV930 @ SY3266 @ SY3267 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SY3266 ) )
| ( SY3267
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV106 @ SV930 @ SY3267 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SV532 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1952]) ).
thf(2362,plain,
! [SV931: $i,SV533: $i,SV107: $i] :
( ( ! [SY3268: $i,SY3269: $i] :
( ( hBOOL @ ( hAPP @ SV107 @ ( c_Message_Oagent_Oagent__case @ SV533 @ SV931 @ SY3268 @ SY3269 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SY3268 ) )
| ( SY3269
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV107 @ SV931 @ SY3269 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SV533 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1953]) ).
thf(2363,plain,
! [SV535: $i,SV109: $i] :
( ( ( hBOOL @ ( hAPP @ SV109 @ SV535 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV109 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV109 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1955]) ).
thf(2364,plain,
! [SV536: $i,SV110: $i] :
( ( ( hBOOL @ ( hAPP @ SV110 @ SV536 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV110 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV110 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1956]) ).
thf(2365,plain,
! [SV537: $i,SV111: $i] :
( ( ( hBOOL @ ( hAPP @ SV111 @ SV537 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV111 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV111 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1957]) ).
thf(2366,plain,
! [SV538: $i,SV112: $i] :
( ( ( hBOOL @ ( hAPP @ SV112 @ SV538 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV112 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV112 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1958]) ).
thf(2367,plain,
! [SV539: $i,SV113: $i] :
( ( ( hBOOL @ ( hAPP @ SV113 @ SV539 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV113 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV113 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1959]) ).
thf(2368,plain,
! [SV540: $i,SV114: $i] :
( ( ( hBOOL @ ( hAPP @ SV114 @ SV540 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV114 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV114 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1960]) ).
thf(2369,plain,
! [SV541: $i,SV115: $i] :
( ( ( hBOOL @ ( hAPP @ SV115 @ SV541 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV115 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV115 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1961]) ).
thf(2370,plain,
! [SV542: $i,SV116: $i] :
( ( ( hBOOL @ ( hAPP @ SV116 @ SV542 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV116 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV116 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1962]) ).
thf(2371,plain,
! [SV543: $i,SV117: $i] :
( ( ( hBOOL @ ( hAPP @ SV117 @ SV543 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV117 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV117 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1963]) ).
thf(2372,plain,
! [SV544: $i,SV118: $i] :
( ( ( hBOOL @ ( hAPP @ SV118 @ SV544 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV118 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV118 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1964]) ).
thf(2373,plain,
! [SV545: $i,SV119: $i] :
( ( ( hBOOL @ ( hAPP @ SV119 @ SV545 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV119 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV119 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1965]) ).
thf(2374,plain,
! [SV932: $i,SV546: $i,SV120: $i] :
( ( ! [SY3270: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV120 )
| ( ( c_Finite__Set_Osetsum @ SV546 @ ( c_List_Oset @ SV932 @ SY3270 ) @ SY3270 @ SV120 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV546 @ SV932 @ SY3270 @ SV120 ) @ SV120 ) )
| ~ ( c_List_Odistinct @ SV932 @ SY3270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1966]) ).
thf(2375,plain,
! [SV547: $i,SV121: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Obutlast @ SV121 @ SV547 ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ SV121 @ SV547 ) @ ( c_List_Olist_ONil @ SV547 ) @ SV547 ) @ SV547 )
= SV121 )
= $true )
| ( ( SV121
= ( c_List_Olist_ONil @ SV547 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1967]) ).
thf(2376,plain,
! [SV933: $i,SV548: $i,SV122: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV122 ) @ ( c_List_Otake @ SV548 @ SV933 @ SV122 ) )
= ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SV933 @ ( tc_List_Olist @ SV122 ) ) @ SV548 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV122 ) @ SV933 ) @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1968]) ).
thf(2377,plain,
! [SV934: $i,SV549: $i,SV123: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV123 ) @ ( c_List_Odrop @ SV549 @ SV934 @ SV123 ) )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SV934 @ ( tc_List_Olist @ SV123 ) ) @ SV549 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV123 ) @ SV934 ) @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2378,plain,
! [SV935: $i,SV550: $i,SV124: $i] :
( ( ( ( c_Event_Oknows @ SV124 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV124 @ SV550 ) @ SV935 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV550 @ ( c_Event_Oknows @ SV124 @ SV935 ) @ tc_Message_Omsg ) )
| ( SV124 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1970]) ).
thf(2379,plain,
! [SV936: $i,SV551: $i,SV125: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV125 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV551 @ SV936 ) @ SV125 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1971]) ).
thf(2380,plain,
! [SV937: $i,SV552: $i,SV126: $i] :
( ( ! [SY3271: $i,SY3272: $i] :
( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV552 @ SV937 @ SY3271 @ SY3272 @ t_a ) ) )
| ( SY3272 = c_Message_Oagent_OSpy )
| ( SY3272
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV937 @ SY3272 ) ) )
| ( SY3272 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2381,plain,
! [SV938: $i,SV553: $i,SV127: $i] :
( ( ! [SY3273: $i,SY3274: $i,SY3275: $i,SY3276: $i,SY3277: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SV553 @ SV938 @ SY3273 @ SY3274 )
= ( c_Message_Oagent_Oagent__case @ SY3275 @ SY3276 @ SY3277 @ SY3273 @ SY3274 ) )
| ( SY3273 = c_Message_Oagent_OSpy )
| ( SY3273
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY3273 @ SV553 @ SY3276 @ SY3274 ) ) )
| ( SY3273 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1973]) ).
thf(2382,plain,
! [SV939: $i,SV554: $i,SV128: $i] :
( ( ! [SY3278: $i,SY3279: $i] :
( ( hBOOL @ ( hAPP @ SV128 @ ( c_Message_Oagent_Oagent__case @ SV554 @ SV939 @ SY3278 @ SY3279 @ t_a ) ) )
| ( SY3279 = c_Message_Oagent_OSpy )
| ( SY3279
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV128 @ SV939 @ SY3279 ) ) )
| ( SY3279 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2383,plain,
! [SV940: $i,SV555: $i,SV129: $i] :
( ( ( c_List_Orotate @ SV129 @ SV555 @ SV940 )
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Divides_Odiv__class_Omod @ SV129 @ ( c_Nat_Osize__class_Osize @ SV555 @ ( tc_List_Olist @ SV940 ) ) @ tc_nat ) @ SV555 @ SV940 ) @ ( c_List_Otake @ ( c_Divides_Odiv__class_Omod @ SV129 @ ( c_Nat_Osize__class_Osize @ SV555 @ ( tc_List_Olist @ SV940 ) ) @ tc_nat ) @ SV555 @ SV940 ) @ SV940 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1975]) ).
thf(2384,plain,
! [SV556: $i,SV130: $i] :
( ( ( ( c_List_Orotate1 @ SV130 @ SV556 )
= ( c_List_Oappend @ ( c_List_Otl @ SV130 @ SV556 ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV130 @ SV556 ) @ ( c_List_Olist_ONil @ SV556 ) @ SV556 ) @ SV556 ) )
= $true )
| ( ( SV130
= ( c_List_Olist_ONil @ SV556 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1976]) ).
thf(2385,plain,
! [SV941: $i,SV557: $i,SV131: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV131 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SV557 @ SV941 @ SV131 ) @ SV131 )
| ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1977]) ).
thf(2386,plain,
! [SV942: $i,SV558: $i,SV132: $i] :
( ( ! [SY3280: $i,SY3281: $i] :
( ( c_List_Otake @ SV132 @ ( c_List_Omap @ SV558 @ SV942 @ SY3280 @ SY3281 ) @ SY3281 )
= ( c_List_Omap @ SV558 @ ( c_List_Otake @ SV132 @ SV942 @ SY3280 ) @ SY3280 @ SY3281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1978]) ).
thf(2387,plain,
! [SV943: $i,SV559: $i,SV133: $i] :
( ( ( c_List_Oremdups @ ( c_List_Ofilter @ SV133 @ SV559 @ SV943 ) @ SV943 )
= ( c_List_Ofilter @ SV133 @ ( c_List_Oremdups @ SV559 @ SV943 ) @ SV943 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1979]) ).
thf(2388,plain,
! [SV944: $i,SV560: $i,SV134: $i] :
( ( ! [SY3282: $i,SY3283: $i,SY3284: $i] :
( ( c_List_Olist__all2 @ SV134 @ ( c_List_Otake @ SV560 @ SV944 @ SY3282 ) @ ( c_List_Otake @ SV560 @ SY3283 @ SY3284 ) @ SY3282 @ SY3284 )
| ~ ( c_List_Olist__all2 @ SV134 @ SV944 @ SY3283 @ SY3282 @ SY3284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1980]) ).
thf(2389,plain,
! [SV945: $i,SV561: $i,SV135: $i] :
( ( ! [SY3285: $i] :
( ( c_Fun_Oinj__on @ SV135 @ ( c_List_Oset @ SV561 @ SV945 ) @ SV945 @ SY3285 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SV135 @ SV561 @ SV945 @ SY3285 ) @ SY3285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1981]) ).
thf(2390,plain,
! [SV946: $i,SV562: $i,SV136: $i] :
( ( ( SV136 = SV562 )
| ~ ( c_List_Olist__all2 @ ( c_fequal @ SV946 ) @ SV136 @ SV562 @ SV946 @ SV946 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1982]) ).
thf(2391,plain,
! [SV947: $i,SV563: $i,SV137: $i] :
( ( ! [SY3286: $i,SY3287: $i,SY3288: $i] :
( ( c_List_Ofoldl @ SV137 @ SV563 @ ( c_List_Olist_OCons @ SV947 @ SY3286 @ SY3287 ) @ SY3288 @ SY3287 )
= ( c_List_Ofoldl @ SV137 @ ( hAPP @ ( hAPP @ SV137 @ SV563 ) @ SV947 ) @ SY3286 @ SY3288 @ SY3287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1983]) ).
thf(2392,plain,
! [SV948: $i,SV564: $i,SV138: $i] :
( ( ! [SY3289: $i] :
( ~ ( class_Orderings_Olinorder @ SV138 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY3289 @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 ) @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2393,plain,
! [SV949: $i,SV565: $i,SV139: $i] :
( ( ! [SY3290: $i,SY3291: $i,SY3292: $i,SY3293: $i] :
( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SV565 @ SV949 @ SY3290 ) @ ( c_List_Oappend @ SY3291 @ SY3292 @ SY3293 ) @ SY3290 @ SY3293 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV949 @ SY3292 @ SY3290 @ SY3293 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV565 @ SY3291 @ SY3290 @ SY3293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1985]) ).
thf(2394,plain,
! [SV950: $i,SV566: $i,SV140: $i] :
( ( ! [SY3294: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV140 @ SV566 @ SV950 ) @ SY3294 @ SV950 )
= ( c_List_Olist_OCons @ SV140 @ ( c_List_Oappend @ SV566 @ SY3294 @ SV950 ) @ SV950 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1986]) ).
thf(2395,plain,
! [SV951: $i,SV567: $i,SV141: $i] :
( ( ! [SY3295: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV141 @ SV567 @ SV951 ) @ SY3295 @ SV951 )
= ( c_List_Olist_OCons @ SV141 @ ( c_List_Oappend @ SV567 @ SY3295 @ SV951 ) @ SV951 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1987]) ).
thf(2396,plain,
! [SV952: $i,SV568: $i,SV142: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV142 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV142 @ SV568 @ SV952 ) @ SV952 ) ) )
| ( ( c_List_OdropWhile @ SV142 @ SV568 @ SV952 )
= ( c_List_Olist_ONil @ SV952 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1988]) ).
thf(2397,plain,
! [SV569: $i,SV143: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV143 @ SV569 ) @ SV569 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV143 @ SV569 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1989]) ).
thf(2398,plain,
! [SV570: $i,SV144: $i] :
( ( ( c_List_Odistinct @ SV144 @ SV570 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ SV144 @ SV570 ) @ SV570 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1990]) ).
thf(2399,plain,
! [SV953: $i,SV571: $i,SV145: $i] :
( ( SV145
= ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV571 @ ( tc_List_Olist @ SV953 ) ) @ ( c_List_Oappend @ SV571 @ SV145 @ SV953 ) @ SV953 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1991]) ).
thf(2400,plain,
! [SV954: $i,SV572: $i,SV146: $i] :
( ( ( c_List_Odistinct @ ( c_List_Ofilter @ SV146 @ SV572 @ SV954 ) @ SV954 )
| ~ ( c_List_Odistinct @ SV572 @ SV954 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1992]) ).
thf(2401,plain,
! [SV955: $i,SV573: $i,SV147: $i] :
( ( ! [SY3296: $i,SY3297: $i] :
( ( c_List_Omap @ SV147 @ ( c_List_Olist_OCons @ SV573 @ SV955 @ SY3296 ) @ SY3296 @ SY3297 )
= ( c_List_Olist_OCons @ ( hAPP @ SV147 @ SV573 ) @ ( c_List_Omap @ SV147 @ SV955 @ SY3296 @ SY3297 ) @ SY3297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1993]) ).
thf(2402,plain,
! [SV956: $i,SV574: $i,SV148: $i] :
( ( ! [SY3298: $i,SY3299: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ SV148 @ SV574 ) @ ( c_List_Omap @ SV148 @ SV956 @ SY3298 @ SY3299 ) @ SY3299 )
= ( c_List_Omap @ SV148 @ ( c_List_Olist_OCons @ SV574 @ SV956 @ SY3298 ) @ SY3298 @ SY3299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1994]) ).
thf(2403,plain,
! [SV957: $i,SV575: $i,SV149: $i] :
( ( ! [SY3300: $i,SY3301: $i] :
( ( c_List_Omap @ SV149 @ ( c_List_Olist_OCons @ SV575 @ SV957 @ SY3300 ) @ SY3300 @ SY3301 )
= ( c_List_Olist_OCons @ ( hAPP @ SV149 @ SV575 ) @ ( c_List_Omap @ SV149 @ SV957 @ SY3300 @ SY3301 ) @ SY3301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1995]) ).
thf(2404,plain,
! [SV958: $i,SV576: $i,SV150: $i] :
( ( ! [SY3302: $i,SY3303: $i,SY3304: $i] :
( ( c_List_Olist_Olist__case @ SV150 @ SV576 @ ( c_List_Olist_OCons @ SV958 @ SY3302 @ SY3303 ) @ SY3304 @ SY3303 )
= ( hAPP @ ( hAPP @ SV576 @ SV958 ) @ SY3302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1996]) ).
thf(2405,plain,
! [SV959: $i,SV577: $i,SV151: $i] :
( ( ( c_List_Oremove1 @ SV151 @ ( c_List_Olist_OCons @ SV151 @ SV577 @ SV959 ) @ SV959 )
= SV577 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1997]) ).
thf(2406,plain,
! [SV960: $i,SV578: $i,SV152: $i] :
( ( ! [SY3305: $i,SY3306: $i,SY3307: $i,SY3308: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV152 @ SV578 ) @ SV960 ) )
| ~ ( c_List_Olist__all2 @ SV152 @ ( c_List_Olist_OCons @ SV578 @ SY3305 @ SY3306 ) @ ( c_List_Olist_OCons @ SV960 @ SY3307 @ SY3308 ) @ SY3306 @ SY3308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2407,plain,
! [SV961: $i,SV579: $i,SV153: $i] :
( ( ! [SY3309: $i] :
( ( c_List_Olist_OCons @ SV153 @ ( c_List_Oappend @ SV579 @ SV961 @ SY3309 ) @ SY3309 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV153 @ SV579 @ SY3309 ) @ SV961 @ SY3309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1999]) ).
thf(2408,plain,
! [SV962: $i,SV580: $i,SV154: $i] :
( ( ! [SY3310: $i] :
( ( c_List_Olist_OCons @ SV154 @ ( c_List_Oappend @ SV580 @ SV962 @ SY3310 ) @ SY3310 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV154 @ SV580 @ SY3310 ) @ SV962 @ SY3310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2409,plain,
! [SV963: $i,SV581: $i,SV155: $i] :
( ( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV155 @ SV581 @ SV963 ) @ SV963 )
= ( c_List_Olast @ SV581 @ SV963 ) )
| ( SV581
= ( c_List_Olist_ONil @ SV963 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2001]) ).
thf(2410,plain,
! [SV964: $i,SV582: $i,SV156: $i] :
( ( ! [SY3311: $i] :
( ( c_Message_Oagent_Oagent__case @ SV156 @ SV582 @ SV964 @ c_Message_Oagent_OServer @ SY3311 )
= SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2002]) ).
thf(2411,plain,
! [SV965: $i,SV583: $i,SV157: $i] :
( ( ! [SY3312: $i] :
( ( c_List_Odistinct @ ( c_List_Omap @ SV157 @ SV583 @ SV965 @ SY3312 ) @ SY3312 )
| ~ ( c_Fun_Oinj__on @ SV157 @ ( c_List_Oset @ SV583 @ SV965 ) @ SV965 @ SY3312 )
| ~ ( c_List_Odistinct @ SV583 @ SV965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2412,plain,
! [SV966: $i,SV584: $i,SV158: $i] :
( ( ( c_List_Oappend @ ( c_List_Otake @ SV158 @ SV584 @ SV966 ) @ ( c_List_Odrop @ SV158 @ SV584 @ SV966 ) @ SV966 )
= SV584 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2004]) ).
thf(2413,plain,
! [SV967: $i,SV585: $i,SV159: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV159 )
| ( c_List_Olinorder__class_Osorted @ SV585 @ SV159 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV967 @ SV585 @ SV159 ) @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2414,plain,
! [SV968: $i,SV586: $i,SV160: $i] :
( ( ( c_List_Odistinct @ ( c_List_Odrop @ SV160 @ SV586 @ SV968 ) @ SV968 )
| ~ ( c_List_Odistinct @ SV586 @ SV968 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2006]) ).
thf(2415,plain,
! [SV969: $i,SV587: $i,SV161: $i] :
( ( ! [SY3313: $i] :
( ( c_List_Olist__all @ SV161 @ SV587 @ SV969 )
| ~ ( c_List_Olist__all @ SV161 @ ( c_List_Olist_OCons @ SY3313 @ SV587 @ SV969 ) @ SV969 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2007]) ).
thf(2416,plain,
! [SV588: $i,SV162: $i] :
( ( ( ( c_List_Oremdups @ SV162 @ SV588 )
= SV162 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV162 @ SV588 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2008]) ).
thf(2417,plain,
! [SV970: $i,SV589: $i,SV163: $i] :
( ( ! [SY3314: $i] :
( ( hBOOL @ ( hAPP @ SV163 @ SV589 ) )
| ~ ( c_List_Olist__all @ SV163 @ ( c_List_Olist_OCons @ SV589 @ SV970 @ SY3314 ) @ SY3314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2009]) ).
thf(2418,plain,
! [SV971: $i,SV590: $i,SV164: $i] :
( ( ( ( c_List_Ohd @ ( c_List_Oappend @ SV164 @ SV590 @ SV971 ) @ SV971 )
= ( c_List_Ohd @ SV164 @ SV971 ) )
| ( SV164
= ( c_List_Olist_ONil @ SV971 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2010]) ).
thf(2419,plain,
! [SV972: $i,SV591: $i,SV165: $i] :
( ( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ SV165 @ SV591 @ SV972 ) @ SV972 )
= ( c_List_Oappend @ SV591 @ ( c_List_Olist_OCons @ SV165 @ ( c_List_Olist_ONil @ SV972 ) @ SV972 ) @ SV972 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2011]) ).
thf(2420,plain,
! [SV973: $i,SV592: $i,SV166: $i] :
( ( ! [SY3315: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ SV166 @ SV592 @ SV973 @ SY3315 ) @ ( tc_List_Olist @ SY3315 ) )
= ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SY3315 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2421,plain,
! [SV974: $i,SV593: $i,SV167: $i] :
( ( ( c_List_Olist_OCons @ SV167 @ SV593 @ SV974 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV974 ) @ ( c_List_Olist_OCons @ SV167 @ SV593 @ SV974 ) @ SV974 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2013]) ).
thf(2422,plain,
! [SV975: $i,SV594: $i,SV168: $i] :
( ( ! [SY3316: $i,SY3317: $i,SY3318: $i] :
( ( c_List_Omap @ SV168 @ ( c_List_Olist__update @ SV594 @ SV975 @ SY3316 @ SY3317 ) @ SY3317 @ SY3318 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV168 @ SV594 @ SY3317 @ SY3318 ) @ SV975 @ ( hAPP @ SV168 @ SY3316 ) @ SY3318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2014]) ).
thf(2423,plain,
! [SV976: $i,SV595: $i,SV169: $i] :
( ( ! [SY3319: $i,SY3320: $i] :
( ( c_Message_Oagent_Oagent__case @ SV169 @ SV595 @ SV976 @ ( c_Message_Oagent_OFriend @ SY3319 ) @ SY3320 )
= ( hAPP @ SV595 @ SY3319 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2015]) ).
thf(2424,plain,
! [SV977: $i,SV596: $i,SV170: $i] :
( ( ! [SY3321: $i] :
( ( c_List_Olist__all @ SV170 @ ( c_List_Oappend @ SV596 @ SV977 @ SY3321 ) @ SY3321 )
| ~ ( c_List_Olist__all @ SV170 @ SV977 @ SY3321 )
| ~ ( c_List_Olist__all @ SV170 @ SV596 @ SY3321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2016]) ).
thf(2425,plain,
! [SV597: $i,SV171: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV171 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV597 @ ( c_List_Olist_ONil @ SV171 ) @ SV171 ) @ SV171 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2017]) ).
thf(2426,plain,
! [SV978: $i,SV598: $i,SV172: $i] :
( ( ( c_List_Odistinct @ ( c_List_Otake @ SV172 @ SV598 @ SV978 ) @ SV978 )
| ~ ( c_List_Odistinct @ SV598 @ SV978 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2427,plain,
! [SV979: $i,SV599: $i,SV173: $i] :
( ( ( c_List_Oappend @ ( c_List_Oreplicate @ SV173 @ SV599 @ SV979 ) @ ( c_List_Olist_OCons @ SV599 @ ( c_List_Olist_ONil @ SV979 ) @ SV979 ) @ SV979 )
= ( c_List_Olist_OCons @ SV599 @ ( c_List_Oreplicate @ SV173 @ SV599 @ SV979 ) @ SV979 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2019]) ).
thf(2428,plain,
! [SV980: $i,SV600: $i,SV174: $i] :
( ( ! [SY3322: $i,SY3323: $i,SY3324: $i] :
( ( c_List_Ofoldl @ SV174 @ SV600 @ ( c_List_Oappend @ SV980 @ SY3322 @ SY3323 ) @ SY3324 @ SY3323 )
= ( c_List_Ofoldl @ SV174 @ ( c_List_Ofoldl @ SV174 @ SV600 @ SV980 @ SY3324 @ SY3323 ) @ SY3322 @ SY3324 @ SY3323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2020]) ).
thf(2429,plain,
! [SV981: $i,SV601: $i,SV175: $i] :
( ( ( c_List_Odistinct @ SV175 @ SV601 )
| ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV981 @ SV175 @ SV601 ) @ SV601 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2430,plain,
! [SV982: $i,SV602: $i,SV176: $i] :
( ( ! [SY3325: $i] :
( ( c_List_Ofilter @ SV176 @ ( c_List_Oappend @ SV602 @ SV982 @ SY3325 ) @ SY3325 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV176 @ SV602 @ SY3325 ) @ ( c_List_Ofilter @ SV176 @ SV982 @ SY3325 ) @ SY3325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2431,plain,
! [SV983: $i,SV603: $i,SV178: $i] :
( ( c_List_Olist__all2 @ SV178 @ ( c_List_Olist_ONil @ SV603 ) @ ( c_List_Olist_ONil @ SV983 ) @ SV603 @ SV983 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2023]) ).
thf(2432,plain,
! [SV604: $i,SV179: $i] :
( ( ( SV179
= ( c_List_Olist_ONil @ SV604 ) )
= $true )
| ( ( ~ ( c_List_Onull @ SV179 @ SV604 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2024]) ).
thf(2433,plain,
! [SV984: $i,SV605: $i,SV181: $i] :
( ( ! [SY3326: $i] :
( ( SV181
= ( c_List_Olist_ONil @ SV605 ) )
| ~ ( c_List_Olist__all2 @ SV984 @ SV181 @ ( c_List_Olist_ONil @ SY3326 ) @ SV605 @ SY3326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2434,plain,
! [SV985: $i,SV606: $i,SV182: $i] :
( ( ! [SY3327: $i] :
( ( SV182
= ( c_List_Olist_ONil @ SV606 ) )
| ~ ( c_List_Olist__all2 @ SV985 @ ( c_List_Olist_ONil @ SY3327 ) @ SV182 @ SY3327 @ SV606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2026]) ).
thf(2435,plain,
! [SV986: $i,SV607: $i,SV184: $i] :
( ( ! [SY3328: $i] :
( ( ( c_List_Ofilter @ SV184 @ ( c_List_Olist_OCons @ SV607 @ SV986 @ SY3328 ) @ SY3328 )
= ( c_List_Olist_OCons @ SV607 @ ( c_List_Ofilter @ SV184 @ SV986 @ SY3328 ) @ SY3328 ) )
| ~ ( hBOOL @ ( hAPP @ SV184 @ SV607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2436,plain,
! [SV987: $i,SV608: $i,SV185: $i] :
( ( ! [SY3329: $i] :
( ( c_List_Olistsp @ SV185 @ SV608 @ SV987 )
| ~ ( c_List_Olistsp @ SV185 @ ( c_List_Oappend @ SV608 @ SY3329 @ SV987 ) @ SV987 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2028]) ).
thf(2437,plain,
! [SV988: $i,SV609: $i,SV186: $i] :
( ( ! [SY3330: $i] :
( ( c_List_Olistsp @ SV186 @ SV609 @ SV988 )
| ~ ( c_List_Olistsp @ SV186 @ ( c_List_Oappend @ SY3330 @ SV609 @ SV988 ) @ SV988 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2029]) ).
thf(2438,plain,
! [SV989: $i,SV610: $i,SV187: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV187 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SV610 @ SV989 @ SV187 ) @ SV187 )
| ~ ( c_List_Olinorder__class_Osorted @ SV989 @ SV187 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2030]) ).
thf(2439,plain,
! [SV990: $i,SV611: $i,SV188: $i] :
( ( ! [SY3331: $i,SY3332: $i,SY3333: $i,SY3334: $i] :
( ( c_List_Olist__all2 @ SV188 @ SV611 @ SV990 @ SY3331 @ SY3332 )
| ~ ( c_List_Olist__all2 @ SV188 @ ( c_List_Olist_OCons @ SY3333 @ SV611 @ SY3331 ) @ ( c_List_Olist_OCons @ SY3334 @ SV990 @ SY3332 ) @ SY3331 @ SY3332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2031]) ).
thf(2440,plain,
! [SV991: $i,SV612: $i,SV189: $i] :
( ( ! [SY3335: $i,SY3336: $i] :
( ( c_List_Orotate @ SV189 @ ( c_List_Omap @ SV612 @ SV991 @ SY3335 @ SY3336 ) @ SY3336 )
= ( c_List_Omap @ SV612 @ ( c_List_Orotate @ SV189 @ SV991 @ SY3335 ) @ SY3335 @ SY3336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2032]) ).
thf(2441,plain,
! [SV992: $i,SV613: $i,SV190: $i] :
( ( ( c_List_Odistinct @ SV190 @ SV613 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV190 @ SV992 @ SV613 ) @ SV613 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2033]) ).
thf(2442,plain,
! [SV993: $i,SV614: $i,SV191: $i] :
( ( ( c_List_Odistinct @ SV191 @ SV614 )
| ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV993 @ SV191 @ SV614 ) @ SV614 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2034]) ).
thf(2443,plain,
! [SV994: $i,SV615: $i,SV192: $i] :
( ( SV192
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV192 @ ( tc_List_Olist @ SV615 ) ) @ ( c_List_Oappend @ SV192 @ SV994 @ SV615 ) @ SV615 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2035]) ).
thf(2444,plain,
! [SV995: $i,SV616: $i,SV193: $i] :
( ( ! [SY3337: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ SV193 @ SV616 @ SV995 @ SY3337 ) @ ( tc_List_Olist @ SY3337 ) )
= ( c_Nat_Osize__class_Osize @ SV616 @ ( tc_List_Olist @ SV995 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2036]) ).
thf(2445,plain,
! [SV996: $i,SV617: $i,SV194: $i] :
( ( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV194 @ SV617 @ SV996 ) @ SV996 )
| ~ ( c_List_Odistinct @ SV617 @ SV996 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2037]) ).
thf(2446,plain,
! [SV997: $i,SV618: $i,SV195: $i] :
( ( ! [SY3338: $i,SY3339: $i] :
( ( c_List_Omap @ SV195 @ ( c_List_Oreplicate @ SV618 @ SV997 @ SY3338 ) @ SY3338 @ SY3339 )
= ( c_List_Oreplicate @ SV618 @ ( hAPP @ SV195 @ SV997 ) @ SY3339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2038]) ).
thf(2447,plain,
! [SV998: $i,SV619: $i,SV196: $i] :
( ( ! [SY3340: $i,SY3341: $i,SY3342: $i] :
( ( c_List_Ofoldr @ SV196 @ ( c_List_Oappend @ SV619 @ SV998 @ SY3340 ) @ SY3341 @ SY3340 @ SY3342 )
= ( c_List_Ofoldr @ SV196 @ SV619 @ ( c_List_Ofoldr @ SV196 @ SV998 @ SY3341 @ SY3340 @ SY3342 ) @ SY3340 @ SY3342 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2039]) ).
thf(2448,plain,
! [SV999: $i,SV620: $i,SV197: $i] :
( ( ! [SY3343: $i] :
( ( c_List_Olist__ex @ SV197 @ ( c_List_Olist_OCons @ SV620 @ SV999 @ SY3343 ) @ SY3343 )
| ~ ( hBOOL @ ( hAPP @ SV197 @ SV620 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2040]) ).
thf(2449,plain,
! [SV1000: $i,SV621: $i,SV198: $i] :
( ( ! [SY3344: $i,SY3345: $i,SY3346: $i,SY3347: $i] :
( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SV621 @ SV1000 @ SY3344 ) @ ( c_List_Olist_OCons @ SY3345 @ SY3346 @ SY3347 ) @ SY3344 @ SY3347 )
| ~ ( c_List_Olist__all2 @ SV198 @ SV1000 @ SY3346 @ SY3344 @ SY3347 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SV621 ) @ SY3345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2450,plain,
! [SV1001: $i,SV622: $i,SV199: $i] :
( ( ! [SY3348: $i,SY3349: $i,SY3350: $i,SY3351: $i] :
( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SV622 @ SV1001 @ SY3348 ) @ ( c_List_Olist_OCons @ SY3349 @ SY3350 @ SY3351 ) @ SY3348 @ SY3351 )
| ~ ( c_List_Olist__all2 @ SV199 @ SV1001 @ SY3350 @ SY3348 @ SY3351 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SV622 ) @ SY3349 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2042]) ).
thf(2451,plain,
! [SV1002: $i,SV623: $i,SV200: $i] :
( ( ! [SY3352: $i,SY3353: $i,SY3354: $i,SY3355: $i] :
( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SV623 @ SV1002 @ SY3352 ) @ ( c_List_Olist_OCons @ SY3353 @ SY3354 @ SY3355 ) @ SY3352 @ SY3355 )
| ~ ( c_List_Olist__all2 @ SV200 @ SV1002 @ SY3354 @ SY3352 @ SY3355 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SV623 ) @ SY3353 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2043]) ).
thf(2452,plain,
! [SV1003: $i,SV624: $i,SV201: $i] :
( ( ! [SY3356: $i] :
( ( c_List_Olist__ex @ SV201 @ ( c_List_Olist_OCons @ SV624 @ SV1003 @ SY3356 ) @ SY3356 )
| ~ ( c_List_Olist__ex @ SV201 @ SV1003 @ SY3356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2044]) ).
thf(2453,plain,
! [SV1004: $i,SV625: $i,SV202: $i] :
( ( ! [SY3357: $i] :
( ( c_List_Olist__ex @ SV202 @ SV625 @ SV1004 )
| ( hBOOL @ ( hAPP @ SV202 @ SY3357 ) )
| ~ ( c_List_Olist__ex @ SV202 @ ( c_List_Olist_OCons @ SY3357 @ SV625 @ SV1004 ) @ SV1004 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2045]) ).
thf(2454,plain,
! [SV1005: $i,SV626: $i,SV203: $i] :
( ( ! [SY3358: $i,SY3359: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV203 @ ( tc_List_Olist @ SV626 ) )
= ( c_Nat_Osize__class_Osize @ SV1005 @ ( tc_List_Olist @ SY3358 ) ) )
| ~ ( c_List_Olist__all2 @ SY3359 @ SV203 @ SV1005 @ SV626 @ SY3358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2046]) ).
thf(2455,plain,
! [SV1006: $i,SV627: $i,SV204: $i] :
( ( ! [SY3360: $i] :
( ( ( c_List_Ofilter @ SV204 @ ( c_List_Oreplicate @ SV627 @ SV1006 @ SY3360 ) @ SY3360 )
= ( c_List_Oreplicate @ SV627 @ SV1006 @ SY3360 ) )
| ~ ( hBOOL @ ( hAPP @ SV204 @ SV1006 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2456,plain,
! [SV1007: $i,SV628: $i,SV205: $i] :
( ( ! [SY3361: $i,SY3362: $i,SY3363: $i] :
( ( c_List_Olistrelp @ SV205 @ ( c_List_Olist_OCons @ SV628 @ SV1007 @ SY3361 ) @ ( c_List_Olist_OCons @ SY3362 @ SY3363 @ SY3361 ) @ SY3361 )
| ~ ( c_List_Olistrelp @ SV205 @ SV1007 @ SY3363 @ SY3361 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV205 @ SV628 ) @ SY3362 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2048]) ).
thf(2457,plain,
! [SV1008: $i,SV629: $i,SV206: $i] :
( ( ! [SY3364: $i] :
( ( ( c_List_Oremove1 @ SV206 @ ( c_List_Olist_OCons @ SV629 @ SV1008 @ SY3364 ) @ SY3364 )
= ( c_List_Olist_OCons @ SV629 @ ( c_List_Oremove1 @ SV206 @ SV1008 @ SY3364 ) @ SY3364 ) )
| ( SV206 = SV629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2049]) ).
thf(2458,plain,
! [SV1009: $i,SV630: $i,SV207: $i] :
( ( ( c_List_Odistinct @ ( c_List_Osublist @ SV207 @ SV630 @ SV1009 ) @ SV1009 )
| ~ ( c_List_Odistinct @ SV207 @ SV1009 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2050]) ).
thf(2459,plain,
! [SV1010: $i,SV631: $i,SV208: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV208 @ SV631 @ SV1010 ) @ SV1010 )
| ~ ( c_List_Odistinct @ SV631 @ SV1010 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2460,plain,
! [SV1011: $i,SV632: $i,SV209: $i] :
( ( ! [SY3365: $i] :
( ( ( c_List_OdropWhile @ SV209 @ ( c_List_Olist_OCons @ SV632 @ SV1011 @ SY3365 ) @ SY3365 )
= ( c_List_OdropWhile @ SV209 @ SV1011 @ SY3365 ) )
| ~ ( hBOOL @ ( hAPP @ SV209 @ SV632 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2052]) ).
thf(2461,plain,
! [SV1012: $i,SV633: $i,SV210: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate @ SV210 @ SV633 @ SV1012 ) @ ( tc_List_Olist @ SV1012 ) )
= ( c_Nat_Osize__class_Osize @ SV633 @ ( tc_List_Olist @ SV1012 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2053]) ).
thf(2462,plain,
! [SV1013: $i,SV635: $i,SV212: $i] :
( ( ( ( c_List_Olast @ ( c_List_Oappend @ SV212 @ SV635 @ SV1013 ) @ SV1013 )
= ( c_List_Olast @ SV635 @ SV1013 ) )
| ( SV635
= ( c_List_Olist_ONil @ SV1013 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2055]) ).
thf(2463,plain,
! [SV1014: $i,SV636: $i,SV213: $i] :
( ( ! [SY3366: $i] :
( ( ( c_List_OdropWhile @ SV213 @ ( c_List_Olist_OCons @ SV636 @ SV1014 @ SY3366 ) @ SY3366 )
= ( c_List_Olist_OCons @ SV636 @ SV1014 @ SY3366 ) )
| ( hBOOL @ ( hAPP @ SV213 @ SV636 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2464,plain,
! [SV1015: $i,SV637: $i,SV214: $i] :
( ( ! [SY3367: $i,SY3368: $i] :
( ( c_List_Omap @ SV214 @ ( c_List_Oappend @ SV637 @ SV1015 @ SY3367 ) @ SY3367 @ SY3368 )
= ( c_List_Oappend @ ( c_List_Omap @ SV214 @ SV637 @ SY3367 @ SY3368 ) @ ( c_List_Omap @ SV214 @ SV1015 @ SY3367 @ SY3368 ) @ SY3368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2057]) ).
thf(2465,plain,
! [SV1016: $i,SV638: $i,SV215: $i] :
( ( ! [SY3369: $i] :
( ~ ( hBOOL @ ( hAPP @ SV215 @ ( c_Message_Oagent_Oagent__case @ SV638 @ SV1016 @ SY3369 @ c_Message_Oagent_OServer @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV215 @ SV638 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2058]) ).
thf(2466,plain,
! [SV1017: $i,SV639: $i,SV216: $i] :
( ( ! [SY3370: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV216 @ SV639 @ SV1017 ) @ ( c_List_Oreplicate @ SY3370 @ SV639 @ SV1017 ) @ SV1017 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SY3370 @ SV639 @ SV1017 ) @ ( c_List_Oreplicate @ SV216 @ SV639 @ SV1017 ) @ SV1017 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2059]) ).
thf(2467,plain,
! [SV1018: $i,SV640: $i,SV217: $i] :
( ( ! [SY3371: $i,SY3372: $i,SY3373: $i] :
( ( c_List_Olist__all2 @ SV217 @ ( c_List_Odrop @ SV640 @ SV1018 @ SY3371 ) @ ( c_List_Odrop @ SV640 @ SY3372 @ SY3373 ) @ SY3371 @ SY3373 )
| ~ ( c_List_Olist__all2 @ SV217 @ SV1018 @ SY3372 @ SY3371 @ SY3373 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2060]) ).
thf(2468,plain,
! [SV1019: $i,SV642: $i,SV219: $i] :
( ( ! [SY3374: $i] :
( ( ( c_List_Oremove1 @ SV219 @ ( c_List_Ofilter @ SV642 @ SV1019 @ SY3374 ) @ SY3374 )
= ( c_List_Ofilter @ SV642 @ SV1019 @ SY3374 ) )
| ( hBOOL @ ( hAPP @ SV642 @ SV219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2062]) ).
thf(2469,plain,
! [SV1020: $i,SV643: $i,SV220: $i] :
( ( ! [SY3375: $i] :
( ( ( c_List_Ofilter @ SV220 @ ( c_List_Oreplicate @ SV643 @ SV1020 @ SY3375 ) @ SY3375 )
= ( c_List_Olist_ONil @ SY3375 ) )
| ( hBOOL @ ( hAPP @ SV220 @ SV1020 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2063]) ).
thf(2470,plain,
! [SV1021: $i,SV644: $i,SV221: $i] :
( ( ! [SY3376: $i,SY3377: $i,SY3378: $i] :
( ( c_List_Olist_Olist__rec @ SV221 @ SV644 @ ( c_List_Olist_OCons @ SV1021 @ SY3376 @ SY3377 ) @ SY3378 @ SY3377 )
= ( hAPP @ ( hAPP @ ( hAPP @ SV644 @ SV1021 ) @ SY3376 ) @ ( c_List_Olist_Olist__rec @ SV221 @ SV644 @ SY3376 @ SY3378 @ SY3377 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2064]) ).
thf(2471,plain,
! [SV1022: $i,SV645: $i,SV222: $i] :
( ( ( c_List_Oset @ ( c_List_Orotate @ SV222 @ SV645 @ SV1022 ) @ SV1022 )
= ( c_List_Oset @ SV645 @ SV1022 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2065]) ).
thf(2472,plain,
! [SV1023: $i,SV646: $i,SV223: $i] :
( ( ! [SY3379: $i] :
( ( c_List_Odistinct @ SV223 @ SV646 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SV1023 @ SV223 @ SV646 @ SY3379 ) @ SY3379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2066]) ).
thf(2473,plain,
! [SV1024: $i,SV649: $i,SV226: $i] :
( ( ( c_List_Odistinct @ SV226 @ SV649 )
| ~ ( c_List_Odistinct @ ( c_List_Orotate @ SV1024 @ SV226 @ SV649 ) @ SV649 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2069]) ).
thf(2474,plain,
! [SV1025: $i,SV650: $i,SV227: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate @ SV227 @ SV650 @ SV1025 ) @ SV1025 )
| ~ ( c_List_Odistinct @ SV650 @ SV1025 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2070]) ).
thf(2475,plain,
! [SV1026: $i,SV651: $i,SV228: $i] :
( ( ! [SY3380: $i] :
( ( c_List_Olistsp @ SV228 @ ( c_List_Oappend @ SV651 @ SV1026 @ SY3380 ) @ SY3380 )
| ~ ( c_List_Olistsp @ SV228 @ SV1026 @ SY3380 )
| ~ ( c_List_Olistsp @ SV228 @ SV651 @ SY3380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2071]) ).
thf(2476,plain,
! [SV1027: $i,SV652: $i,SV229: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oreplicate @ SV229 @ SV652 @ SV1027 ) @ ( tc_List_Olist @ SV1027 ) )
= SV229 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2477,plain,
! [SV1028: $i,SV653: $i,SV230: $i] :
( ( ! [SY3381: $i,SY3382: $i] :
( ~ ( hBOOL @ ( hAPP @ SV230 @ ( c_Message_Oagent_Oagent__case @ SV653 @ SV1028 @ SY3381 @ ( c_Message_Oagent_OFriend @ SY3382 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV230 @ ( hAPP @ SV1028 @ SY3382 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2478,plain,
! [SV1029: $i,SV654: $i,SV231: $i] :
( ( ! [SY3383: $i,SY3384: $i] :
( ~ ( hBOOL @ ( hAPP @ SV231 @ ( c_Message_Oagent_Oagent__case @ SV654 @ SV1029 @ SY3383 @ ( c_Message_Oagent_OFriend @ SY3384 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV231 @ ( hAPP @ SV1029 @ SY3384 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2074]) ).
thf(2479,plain,
! [SV1030: $i,SV655: $i,SV232: $i] :
( ( ~ ( c_List_Onull @ ( c_List_Olist_OCons @ SV232 @ SV655 @ SV1030 ) @ SV1030 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2075]) ).
thf(2480,plain,
! [SV1031: $i,SV656: $i,SV233: $i] :
( ( ! [SY3385: $i,SY3386: $i,SY3387: $i] :
( ( c_List_Ofoldr @ SV233 @ ( c_List_Olist_OCons @ SV656 @ SV1031 @ SY3385 ) @ SY3386 @ SY3385 @ SY3387 )
= ( hAPP @ ( hAPP @ SV233 @ SV656 ) @ ( c_List_Ofoldr @ SV233 @ SV1031 @ SY3386 @ SY3385 @ SY3387 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2076]) ).
thf(2481,plain,
! [SV1032: $i,SV657: $i,SV234: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV234 @ ( c_List_Olist_OCons @ SV657 @ ( c_List_Olist_ONil @ SV1032 ) @ SV1032 ) @ SV1032 ) @ SV1032 )
= SV657 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2077]) ).
thf(2482,plain,
! [SV1033: $i,SV658: $i,SV235: $i] :
( ( ! [SY3388: $i,SY3389: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV235 @ SV658 @ SV1033 @ ( c_Message_Oagent_OFriend @ SY3388 ) @ SY3389 )
= ( hAPP @ SV658 @ SY3388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2078]) ).
thf(2483,plain,
! [SV1034: $i,SV659: $i,SV236: $i] :
( ( ! [SY3390: $i,SY3391: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ SV236 @ ( c_List_Olist_OCons @ SV659 @ SV1034 @ SY3390 ) @ SY3390 ) @ ( c_Nat_Osize__class_Osize @ SV236 @ ( tc_List_Olist @ SY3390 ) ) @ SY3391 @ SY3390 )
= ( c_List_Oappend @ SV236 @ ( c_List_Olist_OCons @ SY3391 @ SV1034 @ SY3390 ) @ SY3390 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2079]) ).
thf(2484,plain,
! [SV1035: $i,SV660: $i,SV237: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV237 ) @ ( c_List_Olist_OCons @ SV660 @ SV1035 @ SV237 ) @ SV237 )
= ( c_List_Olist_OCons @ SV660 @ SV1035 @ SV237 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2485,plain,
! [SV1036: $i,SV662: $i,SV239: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV239 )
| ( c_List_Olinorder__class_Osorted @ SV662 @ SV239 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV662 @ SV1036 @ SV239 ) @ SV239 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2486,plain,
! [SV1037: $i,SV663: $i,SV240: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV240 )
| ( c_List_Olinorder__class_Osorted @ SV663 @ SV240 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1037 @ SV663 @ SV240 ) @ SV240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2083]) ).
thf(2487,plain,
! [SV1038: $i,SV664: $i,SV241: $i] :
( ( ! [SY3392: $i] :
( ( c_List_Olist__all @ SV241 @ ( c_List_Olist_OCons @ SV664 @ SV1038 @ SY3392 ) @ SY3392 )
| ~ ( c_List_Olist__all @ SV241 @ SV1038 @ SY3392 )
| ~ ( hBOOL @ ( hAPP @ SV241 @ SV664 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2488,plain,
! [SV1039: $i,SV665: $i,SV242: $i] :
( ( ! [SY3393: $i,SY3394: $i,SY3395: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SV665 @ SV1039 @ SY3393 ) @ SY3394 @ SY3395 @ SY3393 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SY3394 @ SY3395 @ SY3393 ) @ SV665 @ SV1039 @ SY3393 ) )
| ( SV665 = SY3394 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2085]) ).
thf(2489,plain,
! [SV666: $i,SV243: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV243 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV666 @ SV243 ) @ SV243 )
| ~ ( c_List_Olinorder__class_Osorted @ SV666 @ SV243 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2086]) ).
thf(2490,plain,
! [SV1040: $i,SV667: $i,SV244: $i] :
( ( ! [SY3396: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV244 @ SV667 @ SV1040 ) @ ( c_List_Olist_OCons @ SV667 @ SY3396 @ SV1040 ) @ SV1040 )
= ( c_List_Olist_OCons @ SV667 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV244 @ SV667 @ SV1040 ) @ SY3396 @ SV1040 ) @ SV1040 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2491,plain,
! [SV1041: $i,SV668: $i,SV245: $i] :
( ( ! [SY3397: $i,SY3398: $i] :
( ( c_List_Odrop @ SV245 @ ( c_List_Omap @ SV668 @ SV1041 @ SY3397 @ SY3398 ) @ SY3398 )
= ( c_List_Omap @ SV668 @ ( c_List_Odrop @ SV245 @ SV1041 @ SY3397 ) @ SY3397 @ SY3398 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2088]) ).
thf(2492,plain,
! [SV1042: $i,SV670: $i,SV247: $i] :
( ( ! [SY3399: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV247 @ SV670 @ SV1042 @ c_Message_Oagent_OServer @ SY3399 )
= SV247 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2090]) ).
thf(2493,plain,
! [SV1043: $i,SV671: $i,SV248: $i] :
( ( ! [SY3400: $i] :
( ( ( c_List_Ofilter @ SV248 @ ( c_List_Olist_OCons @ SV671 @ SV1043 @ SY3400 ) @ SY3400 )
= ( c_List_Ofilter @ SV248 @ SV1043 @ SY3400 ) )
| ( hBOOL @ ( hAPP @ SV248 @ SV671 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2091]) ).
thf(2494,plain,
! [SV1044: $i,SV672: $i,SV249: $i] :
( ( ( c_List_Ohd @ ( c_List_Olist_OCons @ SV249 @ SV672 @ SV1044 ) @ SV1044 )
= SV249 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2092]) ).
thf(2495,plain,
! [SV1045: $i,SV674: $i,SV251: $i] :
( ( ! [SY3401: $i] :
( ( c_List_Olist__all @ SV251 @ SV674 @ SV1045 )
| ~ ( c_List_Olist__all @ SV251 @ ( c_List_Oappend @ SV674 @ SY3401 @ SV1045 ) @ SV1045 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2496,plain,
! [SV1046: $i,SV675: $i,SV252: $i] :
( ( ! [SY3402: $i] :
( ( c_List_Olist__all @ SV252 @ SV675 @ SV1046 )
| ~ ( c_List_Olist__all @ SV252 @ ( c_List_Oappend @ SY3402 @ SV675 @ SV1046 ) @ SV1046 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2095]) ).
thf(2497,plain,
! [SV1047: $i,SV676: $i,SV253: $i] :
( ( ( c_List_Orotate1 @ ( c_List_Orotate @ SV253 @ SV676 @ SV1047 ) @ SV1047 )
= ( c_List_Orotate @ SV253 @ ( c_List_Orotate1 @ SV676 @ SV1047 ) @ SV1047 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2096]) ).
thf(2498,plain,
! [SV1048: $i,SV677: $i,SV254: $i] :
( ( ! [SY3403: $i,SY3404: $i] :
( ~ ( hBOOL @ ( hAPP @ SV254 @ ( c_List_Olist_Olist__case @ SV677 @ SV1048 @ ( c_List_Olist_OCons @ SY3403 @ SY3404 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV254 @ ( hAPP @ ( hAPP @ SV1048 @ SY3403 ) @ SY3404 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2097]) ).
thf(2499,plain,
! [SV1049: $i,SV678: $i,SV255: $i] :
( ( ! [SY3405: $i,SY3406: $i] :
( ~ ( hBOOL @ ( hAPP @ SV255 @ ( c_List_Olist_Olist__case @ SV678 @ SV1049 @ ( c_List_Olist_OCons @ SY3405 @ SY3406 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV255 @ ( hAPP @ ( hAPP @ SV1049 @ SY3405 ) @ SY3406 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2098]) ).
thf(2500,plain,
! [SV1050: $i,SV679: $i,SV256: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV256 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV679 @ SV1050 @ SV256 ) @ SV256 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1050 @ SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2099]) ).
thf(2501,plain,
! [SV1051: $i,SV680: $i,SV257: $i] :
( ( ! [SY3407: $i,SY3408: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV257 @ SV680 @ SV1051 @ SY3407 ) @ SV680 @ SY3408 @ SY3407 )
= ( c_List_Olist__update @ SV257 @ SV680 @ SY3408 @ SY3407 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2100]) ).
thf(2502,plain,
! [SV1052: $i,SV681: $i,SV258: $i] :
( ( ! [SY3409: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV258 @ SV681 @ SV1052 ) @ SY3409 @ SV1052 )
= ( c_List_Oappend @ SV258 @ ( c_List_Oappend @ SV681 @ SY3409 @ SV1052 ) @ SV1052 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2101]) ).
thf(2503,plain,
! [SV1053: $i,SV682: $i,SV259: $i] :
( ( ! [SY3410: $i] :
( ( c_List_Oappend @ SV259 @ ( c_List_Oappend @ SV682 @ SV1053 @ SY3410 ) @ SY3410 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV259 @ SV682 @ SY3410 ) @ SV1053 @ SY3410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2102]) ).
thf(2504,plain,
! [SV1054: $i,SV683: $i,SV260: $i] :
( ( ! [SY3411: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV260 @ SV683 @ SV1054 ) @ SY3411 @ SV1054 )
= ( c_List_Oappend @ SV260 @ ( c_List_Oappend @ SV683 @ SY3411 @ SV1054 ) @ SV1054 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2103]) ).
thf(2505,plain,
! [SV1055: $i,SV684: $i,SV261: $i] :
( ( ! [SY3412: $i] :
( ( c_List_Oappend @ SV261 @ ( c_List_Oappend @ SV684 @ SV1055 @ SY3412 ) @ SY3412 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV261 @ SV684 @ SY3412 ) @ SV1055 @ SY3412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2104]) ).
thf(2506,plain,
! [SV1056: $i,SV686: $i,SV263: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV263 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV686 @ SV1056 @ SV263 ) @ SV263 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1056 @ SV263 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2106]) ).
thf(2507,plain,
! [SV1057: $i,SV687: $i,SV264: $i] :
( ( ! [SY3413: $i] :
( ( c_List_Ofoldl @ SV264 @ SV687 @ ( c_List_Olist_ONil @ SV1057 ) @ SY3413 @ SV1057 )
= SV687 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2107]) ).
thf(2508,plain,
! [SV688: $i,SV265: $i] :
( ( ( hBOOL @ ( hAPP @ SV265 @ SV688 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV265 @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV265 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV265 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2108]) ).
thf(2509,plain,
! [SV690: $i,SV268: $i] :
( ( ( hBOOL @ ( hAPP @ SV268 @ SV690 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV268 @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV268 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV268 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2110]) ).
thf(2510,plain,
! [SV698: $i,SV276: $i] :
( ( ( hBOOL @ ( hAPP @ SV276 @ SV698 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV276 @ ( v_sko__List__Xlast__Xinduct__2 @ SV276 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV276 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2118]) ).
thf(2511,plain,
! [SV700: $i,SV278: $i] :
( ( ( hBOOL @ ( hAPP @ SV278 @ SV700 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV278 @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV278 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV278 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2120]) ).
thf(2512,plain,
! [SV702: $i,SV280: $i] :
( ( ( hBOOL @ ( hAPP @ SV280 @ SV702 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV280 @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV280 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV280 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2122]) ).
thf(2513,plain,
! [SV703: $i,SV281: $i] :
( ( ( hBOOL @ ( hAPP @ SV281 @ SV703 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV281 @ ( v_sko__List__Xfoldl__Xinduct__2 @ SV281 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2123]) ).
thf(2514,plain,
! [SV705: $i,SV284: $i] :
( ( c_List_Olist__ex @ SV284 @ ( c_List_Olist_ONil @ SV705 ) @ SV705 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2125]) ).
thf(2515,plain,
! [SV1058: $i,SV706: $i,SV286: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV286 @ ( c_List_Olist_Olist__case @ SV706 @ SV1058 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV286 @ SV706 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2126]) ).
thf(2516,plain,
! [SV1059: $i,SV707: $i,SV287: $i] :
( ( ! [SY3414: $i] :
( ( c_List_Ofoldr @ SV287 @ ( c_List_Olist_ONil @ SV707 ) @ SV1059 @ SV707 @ SY3414 )
= SV1059 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2127]) ).
thf(2517,plain,
! [SV708: $i,SV288: $i] :
( ( ( hBOOL @ ( hAPP @ SV288 @ SV708 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV288 @ ( v_sko__List__Xzip__Xinduct__2 @ SV288 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV288 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2128]) ).
thf(2518,plain,
! [SV1060: $i,SV709: $i,SV289: $i] :
( ( ( c_List_Omap @ SV289 @ ( c_List_Olist_ONil @ SV709 ) @ SV709 @ SV1060 )
= ( c_List_Olist_ONil @ SV1060 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2129]) ).
thf(2519,plain,
! [SV711: $i,SV291: $i] :
( ( ( hBOOL @ ( hAPP @ SV291 @ SV711 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV291 @ ( v_sko__List__Xlistset__Xinduct__2 @ SV291 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV291 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2131]) ).
thf(2520,plain,
! [SV1061: $i,SV712: $i,SV292: $i] :
( ( ! [SY3415: $i] :
( ( c_List_Olist_Olist__rec @ SV292 @ SV712 @ ( c_List_Olist_ONil @ SV1061 ) @ SY3415 @ SV1061 )
= SV292 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2132]) ).
thf(2521,plain,
! [SV713: $i,SV293: $i] :
( ( ( hBOOL @ ( hAPP @ SV293 @ SV713 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV293 @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV293 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV293 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2133]) ).
thf(2522,plain,
! [SV714: $i,SV294: $i] :
( ( ( hBOOL @ ( hAPP @ SV294 @ SV714 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV294 @ ( v_sko__List__Xtake__Xinduct__2 @ SV294 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV294 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2134]) ).
thf(2523,plain,
! [SV295: $i] :
( ( ( class_Orderings_Olinorder @ SV295 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV295 ) @ SV295 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2135]) ).
thf(2524,plain,
! [SV1062: $i,SV715: $i,SV296: $i] :
( ( ( c_List_Ofiltermap @ SV296 @ ( c_List_Olist_ONil @ SV715 ) @ SV715 @ SV1062 )
= ( c_List_Olist_ONil @ SV1062 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2136]) ).
thf(2525,plain,
! [SV1063: $i,SV717: $i,SV298: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV298 ) @ SV717 @ SV1063 @ SV298 )
= ( c_List_Olist_ONil @ SV298 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2138]) ).
thf(2526,plain,
! [SV1064: $i,SV718: $i,SV299: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV299 ) @ SV718 @ SV1064 @ SV299 )
= ( c_List_Olist_ONil @ SV299 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2527,plain,
! [SV1065: $i,SV719: $i,SV300: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV300 ) @ SV719 @ SV1065 @ SV300 )
= ( c_List_Olist_ONil @ SV300 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2140]) ).
thf(2528,plain,
! [SV720: $i,SV301: $i] :
( ( ( hBOOL @ ( hAPP @ SV301 @ SV720 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV301 @ ( v_sko__List__Xconcat__Xinduct__2 @ SV301 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV301 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2141]) ).
thf(2529,plain,
! [SV722: $i,SV303: $i] :
( ( ( hBOOL @ ( hAPP @ SV303 @ SV722 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV303 @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV303 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2143]) ).
thf(2530,plain,
! [SV1066: $i,SV723: $i,SV304: $i] :
( ( ! [SY3416: $i] :
( ( c_Map_Omap__upds @ SV304 @ SV723 @ ( c_List_Olist_ONil @ SV1066 ) @ SY3416 @ SV1066 )
= SV304 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2144]) ).
thf(2531,plain,
! [SV1067: $i,SV724: $i,SV305: $i] :
( ( ! [SY3417: $i] :
( ( c_Map_Omap__upds @ SV305 @ ( c_List_Olist_ONil @ SV724 ) @ SV1067 @ SV724 @ SY3417 )
= SV305 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2145]) ).
thf(2532,plain,
! [SV725: $i,SV306: $i] :
( ( ( hBOOL @ ( hAPP @ SV306 @ SV725 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV306 @ ( v_sko__List__Xremove1__Xinduct__2 @ SV306 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV306 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2146]) ).
thf(2533,plain,
! [SV1068: $i,SV726: $i,SV307: $i] :
( ( ! [SY3418: $i] :
( ( c_List_Olist_Olist__case @ SV307 @ SV726 @ ( c_List_Olist_ONil @ SV1068 ) @ SY3418 @ SV1068 )
= SV307 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2147]) ).
thf(2534,plain,
! [SV728: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ SV309 @ SV728 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV309 @ ( v_sko__List__Xlist__Xinduct__2 @ SV309 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV309 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2149]) ).
thf(2535,plain,
! [SV1069: $i,SV729: $i,SV310: $i] :
( ( ( c_List_Olist_ONil @ SV310 )
= ( c_List_Omap @ SV729 @ ( c_List_Olist_ONil @ SV1069 ) @ SV1069 @ SV310 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2150]) ).
thf(2536,plain,
! [SV731: $i,SV313: $i] :
( ( ( hBOOL @ ( hAPP @ SV313 @ SV731 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV313 @ ( v_sko__List__Xmap__Xinduct__2 @ SV313 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV313 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2152]) ).
thf(2537,plain,
! [SV732: $i,SV314: $i] :
( ( ( ( c_List_Ohd @ ( hAPP @ ( c_List_Orev @ SV314 ) @ SV732 ) @ SV314 )
= ( c_List_Olast @ SV732 @ SV314 ) )
= $true )
| ( ( SV732
= ( c_List_Olist_ONil @ SV314 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2153]) ).
thf(2538,plain,
! [SV733: $i,SV315: $i] :
( ( ( ( c_List_Olast @ ( hAPP @ ( c_List_Orev @ SV315 ) @ SV733 ) @ SV315 )
= ( c_List_Ohd @ SV733 @ SV315 ) )
= $true )
| ( ( SV733
= ( c_List_Olist_ONil @ SV315 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2154]) ).
thf(2539,plain,
! [SV1070: $i,SV734: $i,SV316: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV316 ) @ ( c_List_Olist_OCons @ SV734 @ SV1070 @ SV316 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV316 ) @ SV1070 ) @ ( c_List_Olist_OCons @ SV734 @ ( c_List_Olist_ONil @ SV316 ) @ SV316 ) @ SV316 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2155]) ).
thf(2540,plain,
! [SV1071: $i,SV735: $i,SV317: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV317 ) @ ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV317 ) @ SV735 ) @ ( c_List_Olist_OCons @ SV1071 @ ( c_List_Olist_ONil @ SV317 ) @ SV317 ) @ SV317 ) )
= ( c_List_Olist_OCons @ SV1071 @ SV735 @ SV317 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2156]) ).
thf(2541,plain,
! [SV1072: $i,SV736: $i,SV318: $i] :
( ( ! [SY3419: $i] :
( ( c_Message_Oagent_Oagent__case @ SV318 @ SV736 @ SV1072 @ c_Message_Oagent_OSpy @ SY3419 )
= SV1072 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2157]) ).
thf(2542,plain,
! [SV1073: $i,SV737: $i,SV319: $i] :
( ( ! [SY3420: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV319 @ SV737 @ SV1073 @ c_Message_Oagent_OSpy @ SY3420 )
= SV1073 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2158]) ).
thf(2543,plain,
! [SV1074: $i,SV738: $i,SV320: $i] :
( ( ! [SY3421: $i] :
( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_Message_Oagent_Oagent__case @ SV738 @ SV1074 @ SY3421 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV320 @ SY3421 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2159]) ).
thf(2544,plain,
! [SV1075: $i,SV739: $i,SV321: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV321 @ SV739 ) @ SV1075 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1075 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2160]) ).
thf(2545,plain,
! [SV1076: $i,SV740: $i,SV322: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV322 ) @ ( c_List_Ofilter @ SV740 @ SV1076 @ SV322 ) )
= ( c_List_Ofilter @ SV740 @ ( hAPP @ ( c_List_Orev @ SV322 ) @ SV1076 ) @ SV322 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2161]) ).
thf(2546,plain,
! [SV1077: $i,SV742: $i,SV324: $i] :
( ( ( c_List_Olist__all @ SV324 @ ( hAPP @ ( c_List_Orev @ SV742 ) @ SV1077 ) @ SV742 )
| ~ ( c_List_Olist__all @ SV324 @ SV1077 @ SV742 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2163]) ).
thf(2547,plain,
! [SV1078: $i,SV743: $i,SV325: $i] :
( ( ( c_List_Olist__all @ SV325 @ SV743 @ SV1078 )
| ~ ( c_List_Olist__all @ SV325 @ ( hAPP @ ( c_List_Orev @ SV1078 ) @ SV743 ) @ SV1078 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2164]) ).
thf(2548,plain,
! [SV744: $i,SV326: $i] :
( ( ( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV326 ) )
= $true )
| ( ( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ SV326 ) @ SV744 ) @ SV326 )
= ( c_List_Olistsum @ SV744 @ SV326 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2165]) ).
thf(2549,plain,
! [SV1079: $i,SV746: $i,SV328: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV328 ) @ ( c_List_Oreplicate @ SV746 @ SV1079 @ SV328 ) )
= ( c_List_Oreplicate @ SV746 @ SV1079 @ SV328 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2167]) ).
thf(2550,plain,
! [SV1080: $i,SV747: $i,SV329: $i] :
( ( ! [SY3422: $i,SY3423: $i] :
( ( c_List_Olist__all2 @ SV329 @ ( hAPP @ ( c_List_Orev @ SV747 ) @ SV1080 ) @ ( hAPP @ ( c_List_Orev @ SY3422 ) @ SY3423 ) @ SV747 @ SY3422 )
| ~ ( c_List_Olist__all2 @ SV329 @ SV1080 @ SY3423 @ SV747 @ SY3422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2168]) ).
thf(2551,plain,
! [SV1081: $i,SV748: $i,SV330: $i] :
( ( ! [SY3424: $i,SY3425: $i] :
( ( c_List_Olist__all2 @ SV330 @ SV748 @ SV1081 @ SY3424 @ SY3425 )
| ~ ( c_List_Olist__all2 @ SV330 @ ( hAPP @ ( c_List_Orev @ SY3424 ) @ SV748 ) @ ( hAPP @ ( c_List_Orev @ SY3425 ) @ SV1081 ) @ SY3424 @ SY3425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2169]) ).
thf(2552,plain,
! [SV1082: $i,SV749: $i,SV331: $i] :
( ( ! [SY3426: $i] :
( ( hAPP @ ( c_List_Orev @ SV331 ) @ ( c_List_Omap @ SV749 @ SV1082 @ SY3426 @ SV331 ) )
= ( c_List_Omap @ SV749 @ ( hAPP @ ( c_List_Orev @ SY3426 ) @ SV1082 ) @ SY3426 @ SV331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2170]) ).
thf(2553,plain,
! [SV751: $i,SV333: $i] :
( ( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV333 ) @ SV751 ) @ SV333 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV751 @ SV333 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2172]) ).
thf(2554,plain,
! [SV752: $i,SV334: $i] :
( ( ( c_List_Odistinct @ SV334 @ SV752 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV752 ) @ SV334 ) @ SV752 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2173]) ).
thf(2555,plain,
! [SV1083: $i,SV753: $i,SV335: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV335 ) @ ( c_List_Oappend @ SV753 @ SV1083 @ SV335 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV335 ) @ SV1083 ) @ ( hAPP @ ( c_List_Orev @ SV335 ) @ SV753 ) @ SV335 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2174]) ).
thf(2556,plain,
! [SV1084: $i,SV754: $i,SV336: $i] :
( ( ! [SY3427: $i,SY3428: $i] :
( ( c_List_Olist__all2 @ SV336 @ ( hAPP @ ( c_List_Orev @ SV754 ) @ SV1084 ) @ SY3427 @ SV754 @ SY3428 )
| ~ ( c_List_Olist__all2 @ SV336 @ SV1084 @ ( hAPP @ ( c_List_Orev @ SY3428 ) @ SY3427 ) @ SV754 @ SY3428 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2175]) ).
thf(2557,plain,
! [SV1085: $i,SV755: $i,SV337: $i] :
( ( ! [SY3429: $i,SY3430: $i] :
( ( c_List_Olist__all2 @ SV337 @ SV755 @ ( hAPP @ ( c_List_Orev @ SV1085 ) @ SY3429 ) @ SY3430 @ SV1085 )
| ~ ( c_List_Olist__all2 @ SV337 @ ( hAPP @ ( c_List_Orev @ SY3430 ) @ SV755 ) @ SY3429 @ SY3430 @ SV1085 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2176]) ).
thf(2558,plain,
! [SV1086: $i,SV756: $i,SV338: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV338 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV756 @ SV1086 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV338 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2559,plain,
! [SV762: $i,SV347: $i] :
( ( ( class_Orderings_Opreorder @ ( tc_fun @ SV347 @ SV762 ) )
= $true )
| ( ( ~ ( class_Orderings_Opreorder @ SV762 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2183]) ).
thf(2560,plain,
! [SV763: $i,SV348: $i] :
( ( ( class_Orderings_Oorder @ ( tc_fun @ SV348 @ SV763 ) )
= $true )
| ( ( ~ ( class_Orderings_Oorder @ SV763 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2184]) ).
thf(2561,plain,
! [SV764: $i,SV349: $i] :
( ( ( class_HOL_Oord @ ( tc_fun @ SV349 @ SV764 ) )
= $true )
| ( ( ~ ( class_HOL_Oord @ SV764 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2185]) ).
thf(2562,plain,
! [SV1087: $i,SV766: $i,SV351: $i] :
( ( ( SV351 = SV766 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV1087 ) @ SV351 ) @ SV766 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2187]) ).
thf(2563,plain,
! [SV1088: $i,SV767: $i,SV352: $i] :
( ( ! [SY3431: $i] :
( ( ( c_List_Omap @ SV352 @ SV767 @ SV1088 @ SY3431 )
!= ( c_List_Olist_ONil @ SY3431 ) )
| ( SV767
= ( c_List_Olist_ONil @ SV1088 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2188]) ).
thf(2564,plain,
! [SV1089: $i,SV768: $i,SV353: $i] :
( ( ! [SY3432: $i,SY3433: $i,SY3434: $i,SY3435: $i] :
( ( ( hAPP @ SV353 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SY3432 ) )
!= ( hAPP @ SV1089 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SY3432 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY3433 @ SV353 @ SY3434 @ SV768 @ SY3432 )
= ( c_Message_Oagent_Oagent__case @ SY3433 @ SV1089 @ SY3435 @ SV768 @ SY3432 ) )
| ( SV768 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2189]) ).
thf(2565,plain,
! [SV1090: $i,SV769: $i,SV354: $i] :
( ( ! [SY3436: $i,SY3437: $i,SY3438: $i,SY3439: $i,SY3440: $i] :
( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SY3436 ) )
!= ( hAPP @ SV1090 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SY3436 ) ) )
| ( SV769 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY3437 @ SV354 @ SY3438 @ SV769 @ SY3436 )
= ( c_Message_Oagent_Oagent__case @ SY3439 @ SV1090 @ SY3440 @ SV769 @ SY3436 ) )
| ( SV769 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2190]) ).
thf(2566,plain,
! [SV1091: $i,SV770: $i,SV355: $i] :
( ( ! [SY3441: $i,SY3442: $i,SY3443: $i] :
( ( ( hAPP @ SV355 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SY3441 ) )
!= ( hAPP @ SV1091 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SY3441 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY3442 @ SV355 @ SY3443 @ SV770 @ SY3441 )
= ( c_Message_Oagent_Oagent__case @ SY3442 @ SV1091 @ SY3443 @ SV770 @ SY3441 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2191]) ).
thf(2567,plain,
! [SV1092: $i,SV771: $i,SV356: $i] :
( ( ( ( c_List_Oappend @ SV356 @ SV771 @ SV1092 )
!= SV356 )
| ( SV771
= ( c_List_Olist_ONil @ SV1092 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2192]) ).
thf(2568,plain,
! [SV772: $i,SV357: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV357 ) @ SV772 )
!= ( c_List_Olist_ONil @ SV357 ) )
= $true )
| ( ( SV772
= ( c_List_Olist_ONil @ SV357 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2193]) ).
thf(2569,plain,
! [SV1093: $i,SV773: $i,SV358: $i] :
( ( ! [SY3444: $i] :
( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SV1093 @ SV773 )
!= SV358 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV773 ) ) @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ tc_nat )
| ( ( c_List_Oappend @ SV1093 @ SY3444 @ SV773 )
= ( c_List_Oappend @ SV358 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SV1093 @ SV773 ) @ SY3444 @ SV773 ) @ SV773 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2570,plain,
! [SV1094: $i,SV774: $i,SV359: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV359 ) @ SV774 )
!= ( c_List_Olist_OCons @ SV1094 @ ( c_List_Olist_ONil @ SV359 ) @ SV359 ) )
| ( SV774
= ( c_List_Olist_OCons @ SV1094 @ ( c_List_Olist_ONil @ SV359 ) @ SV359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2195]) ).
thf(2571,plain,
! [SV1095: $i,SV775: $i,SV360: $i] :
( ( SV360
!= ( c_List_Olist_OCons @ SV775 @ SV360 @ SV1095 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2196]) ).
thf(2572,plain,
! [SV1096: $i,SV776: $i,SV361: $i] :
( ( ( ( c_List_Olist_ONil @ SV361 )
!= ( c_List_Oappend @ SV776 @ SV1096 @ SV361 ) )
| ( SV1096
= ( c_List_Olist_ONil @ SV361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2197]) ).
thf(2573,plain,
! [SV1097: $i,SV777: $i,SV362: $i] :
( ( ! [SY3445: $i,SY3446: $i] :
( ( ( c_List_Oappend @ SV362 @ SV777 @ SV1097 )
!= ( c_List_Oappend @ SY3445 @ SY3446 @ SV1097 ) )
| ( SV777
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ SY3445 @ SV1097 ) @ SY3446 @ SV1097 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ ( c_Nat_Osize__class_Osize @ SY3445 @ ( tc_List_Olist @ SV1097 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2574,plain,
! [SV1098: $i,SV778: $i,SV363: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV363 ) @ SV778 )
!= ( hAPP @ ( c_List_Orev @ SV363 ) @ SV1098 ) )
| ( SV778 = SV1098 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2199]) ).
thf(2575,plain,
! [SV1099: $i,SV779: $i,SV364: $i] :
( ( ( ( c_List_Oappend @ SV364 @ SV779 @ SV1099 )
!= SV779 )
| ( SV364
= ( c_List_Olist_ONil @ SV1099 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2200]) ).
thf(2576,plain,
! [SV1100: $i,SV780: $i,SV365: $i] :
( ( ( ( c_List_Orotate @ SV365 @ SV780 @ SV1100 )
!= ( c_List_Olist_ONil @ SV1100 ) )
| ( SV780
= ( c_List_Olist_ONil @ SV1100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2201]) ).
thf(2577,plain,
! [SV781: $i,SV366: $i] :
( ( ( ( c_List_Oremdups @ SV366 @ SV781 )
!= SV366 )
= $true )
| ( ( c_List_Odistinct @ SV366 @ SV781 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2202]) ).
thf(2578,plain,
! [SV1101: $i,SV782: $i,SV367: $i] :
( ( ( c_List_Olist_OCons @ SV367 @ SV782 @ SV1101 )
!= ( c_List_Olist_ONil @ SV1101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2203]) ).
thf(2579,plain,
! [SV1102: $i,SV783: $i,SV368: $i] :
( ( ( ( c_List_Oappend @ SV368 @ SV783 @ SV1102 )
!= ( c_List_Olist_ONil @ SV1102 ) )
| ( SV783
= ( c_List_Olist_ONil @ SV1102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2204]) ).
thf(2580,plain,
! [SV1103: $i,SV784: $i,SV370: $i] :
( ( ( SV370
!= ( c_List_Oappend @ SV370 @ SV784 @ SV1103 ) )
| ( SV784
= ( c_List_Olist_ONil @ SV1103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2206]) ).
thf(2581,plain,
! [SV1104: $i,SV785: $i,SV371: $i] :
( ( ! [SY3447: $i,SY3448: $i] :
( ( ( c_List_Oappend @ SV371 @ SV785 @ SV1104 )
!= ( c_List_Oappend @ SY3447 @ SY3448 @ SV1104 ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SY3447 @ ( tc_List_Olist @ SV1104 ) ) @ SV371 @ SV1104 )
= SY3447 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV371 @ ( tc_List_Olist @ SV1104 ) ) @ ( c_Nat_Osize__class_Osize @ SY3447 @ ( tc_List_Olist @ SV1104 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2207]) ).
thf(2582,plain,
! [SV1105: $i,SV786: $i,SV373: $i] :
( ( ( c_List_Olist_OCons @ SV373 @ SV786 @ SV1105 )
!= ( c_List_Olist_ONil @ SV1105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2209]) ).
thf(2583,plain,
! [SV1106: $i,SV787: $i,SV374: $i] :
( ( ! [SY3449: $i] :
( ( ( c_List_Oappend @ SV374 @ SV787 @ SV1106 )
!= ( c_List_Oappend @ SV374 @ SY3449 @ SV1106 ) )
| ( SV787 = SY3449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2210]) ).
thf(2584,plain,
! [SV1107: $i,SV788: $i,SV375: $i] :
( ( ! [SY3450: $i,SY3451: $i] :
( ( ( c_List_Omap @ SV375 @ SV788 @ SV1107 @ SY3450 )
!= ( c_List_Omap @ SV375 @ SY3451 @ SV1107 @ SY3450 ) )
| ( ( c_Nat_Osize__class_Osize @ SV788 @ ( tc_List_Olist @ SV1107 ) )
= ( c_Nat_Osize__class_Osize @ SY3451 @ ( tc_List_Olist @ SV1107 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2211]) ).
thf(2585,plain,
! [SV1108: $i,SV789: $i,SV376: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV376 )
| ( ( c_List_Oset @ SV789 @ SV376 )
!= ( c_List_Oset @ SV1108 @ SV376 ) )
| ~ ( c_List_Odistinct @ SV1108 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
| ~ ( c_List_Odistinct @ SV789 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2212]) ).
thf(2586,plain,
! [SV1109: $i,SV790: $i,SV377: $i] :
( ( ! [SY3452: $i,SY3453: $i] :
( ( ( c_List_Oappend @ SV377 @ SV790 @ SV1109 )
!= ( c_List_Oappend @ SY3452 @ SY3453 @ SV1109 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY3452 @ ( tc_List_Olist @ SV1109 ) ) @ SV377 @ SV1109 ) @ SV790 @ SV1109 )
= SY3453 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV377 @ ( tc_List_Olist @ SV1109 ) ) @ ( c_Nat_Osize__class_Osize @ SY3452 @ ( tc_List_Olist @ SV1109 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2213]) ).
thf(2587,plain,
! [SV1110: $i,SV791: $i,SV378: $i] :
( ( ! [SY3454: $i,SY3455: $i] :
( ( ( c_List_Olist_OCons @ SV378 @ SV791 @ SV1110 )
!= ( c_List_Olist_OCons @ SY3454 @ SY3455 @ SV1110 ) )
| ( SV791 = SY3455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2214]) ).
thf(2588,plain,
! [SV1111: $i,SV792: $i,SV379: $i] :
( ( ( SV379
!= ( c_List_Oappend @ SV792 @ SV379 @ SV1111 ) )
| ( SV792
= ( c_List_Olist_ONil @ SV1111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2215]) ).
thf(2589,plain,
! [SV1112: $i,SV793: $i,SV380: $i] :
( ( ! [SY3456: $i,SY3457: $i] :
( ( ( c_List_Oreplicate @ SV380 @ SV793 @ SV1112 )
!= ( c_List_Oreplicate @ SY3456 @ SY3457 @ SV1112 ) )
| ( SV380 = SY3456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2216]) ).
thf(2590,plain,
! [SV1113: $i,SV794: $i,SV381: $i] :
( ( ! [SY3458: $i,SY3459: $i] :
( ( c_Event_Oevent_OSays @ SV381 @ SV794 @ SV1113 )
!= ( c_Event_Oevent_OGets @ SY3458 @ SY3459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2217]) ).
thf(2591,plain,
! [SV1114: $i,SV795: $i,SV382: $i] :
( ( ! [SY3460: $i] :
( ( ( c_List_Olist_ONil @ SV382 )
!= ( c_List_Omap @ SV795 @ SV1114 @ SY3460 @ SV382 ) )
| ( SV1114
= ( c_List_Olist_ONil @ SY3460 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2218]) ).
thf(2592,plain,
! [SV796: $i,SV383: $i] :
( ( ( ( c_List_Olist_ONil @ SV383 )
!= ( hAPP @ ( c_List_Orev @ SV383 ) @ SV796 ) )
= $true )
| ( ( SV796
= ( c_List_Olist_ONil @ SV383 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2219]) ).
thf(2593,plain,
! [SV1115: $i,SV797: $i,SV384: $i] :
( ( ! [SY3461: $i,SY3462: $i,SY3463: $i,SY3464: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
!= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SY3461 ) ) )
| ( c_List_Olist__all2 @ SY3462 @ ( c_List_Oappend @ SV384 @ SY3463 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SY3464 @ SY3461 ) @ SV797 @ SY3461 )
| ~ ( c_List_Olist__all2 @ SY3462 @ SY3463 @ SY3464 @ SV797 @ SY3461 )
| ~ ( c_List_Olist__all2 @ SY3462 @ SV384 @ SV1115 @ SV797 @ SY3461 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2220]) ).
thf(2594,plain,
! [SV798: $i,SV385: $i] :
( ( ( ( c_List_Oremdups @ SV385 @ SV798 )
!= ( c_List_Olist_ONil @ SV798 ) )
= $true )
| ( ( SV385
= ( c_List_Olist_ONil @ SV798 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2221]) ).
thf(2595,plain,
! [SV1116: $i,SV799: $i,SV386: $i] :
( ( ( ( c_List_Olist_ONil @ SV386 )
!= ( c_List_Oappend @ SV799 @ SV1116 @ SV386 ) )
| ( SV799
= ( c_List_Olist_ONil @ SV386 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2222]) ).
thf(2596,plain,
! [SV1117: $i,SV800: $i,SV387: $i] :
( ( ! [SY3465: $i,SY3466: $i] :
( ( ( c_List_Oappend @ SV387 @ ( c_List_Olist_OCons @ SV800 @ ( c_List_Olist_ONil @ SV1117 ) @ SV1117 ) @ SV1117 )
!= ( c_List_Oappend @ SY3465 @ ( c_List_Olist_OCons @ SY3466 @ ( c_List_Olist_ONil @ SV1117 ) @ SV1117 ) @ SV1117 ) )
| ( SV800 = SY3466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2223]) ).
thf(2597,plain,
! [SV1118: $i,SV801: $i,SV388: $i] :
( ( ( ( c_List_Odrop @ SV388 @ SV801 @ SV1118 )
!= ( c_List_Olist_ONil @ SV1118 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV801 @ ( tc_List_Olist @ SV1118 ) ) @ SV388 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2224]) ).
thf(2598,plain,
! [SV1119: $i,SV802: $i,SV389: $i] :
( ( ! [SY3467: $i] :
( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SY3467 @ SV802 ) @ SV802 )
!= SY3467 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 )
!= SV389 )
| ( SV1119
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) )
| ( ( c_List_Oappend @ SV1119 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SY3467 @ SV802 ) @ SV802 )
= ( c_List_Oappend @ SV389 @ SY3467 @ SV802 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2225]) ).
thf(2599,plain,
! [SV1120: $i,SV803: $i,SV390: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV390 @ SV803 @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ SV1120 @ SV803 @ tc_nat ) )
| ~ ( c_lessequals @ SV803 @ SV1120 @ tc_nat )
| ~ ( c_lessequals @ SV803 @ SV390 @ tc_nat )
| ( SV390 = SV1120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2226]) ).
thf(2600,plain,
! [SV1121: $i,SV804: $i,SV391: $i] :
( ( ! [SY3468: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV391 ) @ SV804 )
!= ( c_List_Olist_OCons @ SV1121 @ SY3468 @ SV391 ) )
| ( SV804
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV391 ) @ SY3468 ) @ ( c_List_Olist_OCons @ SV1121 @ ( c_List_Olist_ONil @ SV391 ) @ SV391 ) @ SV391 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2227]) ).
thf(2601,plain,
! [SV1122: $i,SV805: $i,SV392: $i] :
( ( ! [SY3469: $i,SY3470: $i] :
( ( ( c_List_Olist_OCons @ SV392 @ SV805 @ SV1122 )
!= ( c_List_Ofilter @ SY3469 @ SY3470 @ SV1122 ) )
| ( hBOOL @ ( hAPP @ SY3469 @ SV392 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2228]) ).
thf(2602,plain,
! [SV1123: $i,SV806: $i,SV393: $i] :
( ( ( c_List_Olist_OCons @ SV393 @ SV806 @ SV1123 )
!= SV806 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2229]) ).
thf(2603,plain,
! [SV1124: $i,SV807: $i,SV394: $i] :
( ( ! [SY3471: $i] :
( ( ( c_Event_Oevent_OGets @ SV394 @ SV807 )
!= ( c_Event_Oevent_OGets @ SV1124 @ SY3471 ) )
| ( SV807 = SY3471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2230]) ).
thf(2604,plain,
! [SV1125: $i,SV808: $i,SV395: $i] :
( ( ! [SY3472: $i,SY3473: $i] :
( ( ( c_List_Olist_OCons @ SV395 @ SV808 @ SV1125 )
!= ( c_List_Olist_OCons @ SY3472 @ SY3473 @ SV1125 ) )
| ( SV395 = SY3472 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2231]) ).
thf(2605,plain,
! [SV809: $i,SV396: $i] :
( ( ( ( c_List_Oremdups @ SV396 @ SV809 )
!= SV396 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV396 @ SV809 ) @ ( tc_List_Olist @ SV809 ) )
= ( c_Nat_Osize__class_Osize @ SV396 @ ( tc_List_Olist @ SV809 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2232]) ).
thf(2606,plain,
! [SV1126: $i,SV810: $i,SV397: $i] :
( ( ! [SY3474: $i] :
( ( SV397
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) )
| ( ( c_List_Oappend @ SV397 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) @ SY3474 @ SV810 ) @ SV810 )
= ( c_List_Oappend @ SV1126 @ SY3474 @ SV810 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1126 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2233]) ).
thf(2607,plain,
! [SV1127: $i,SV811: $i,SV398: $i] :
( ( ! [SY3475: $i,SY3476: $i,SY3477: $i] :
( ( ( c_Event_Oevent_OSays @ SV398 @ SV811 @ SV1127 )
!= ( c_Event_Oevent_OSays @ SY3475 @ SY3476 @ SY3477 ) )
| ( SV811 = SY3476 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2234]) ).
thf(2608,plain,
! [SV1128: $i,SV812: $i,SV399: $i] :
( ( ! [SY3478: $i,SY3479: $i] :
( ( ( c_List_Oappend @ SV399 @ SV812 @ SV1128 )
!= ( c_List_Oappend @ SY3478 @ SY3479 @ SV1128 ) )
| ( SV399
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ SY3478 @ SV1128 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ ( c_Nat_Osize__class_Osize @ SY3478 @ ( tc_List_Olist @ SV1128 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2235]) ).
thf(2609,plain,
! [SV1129: $i,SV813: $i,SV400: $i] :
( ( ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Olist_ONil @ SV813 ) @ SV813 )
!= ( hAPP @ ( c_List_Orev @ SV813 ) @ SV1129 ) )
| ( SV1129
= ( c_List_Olist_OCons @ SV400 @ ( c_List_Olist_ONil @ SV813 ) @ SV813 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2236]) ).
thf(2610,plain,
! [SV1130: $i,SV814: $i,SV401: $i] :
( ( ! [SY3480: $i,SY3481: $i,SY3482: $i,SY3483: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SV814 ) )
!= ( c_Nat_Osize__class_Osize @ SV1130 @ ( tc_List_Olist @ SY3480 ) ) )
| ( c_List_Olist__all2 @ SY3481 @ SV401 @ SV1130 @ SV814 @ SY3480 )
| ~ ( c_List_Olist__all2 @ SY3481 @ ( c_List_Oappend @ SV401 @ SY3482 @ SV814 ) @ ( c_List_Oappend @ SV1130 @ SY3483 @ SY3480 ) @ SV814 @ SY3480 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2237]) ).
thf(2611,plain,
! [SV1131: $i,SV815: $i,SV402: $i] :
( ( ! [SY3484: $i,SY3485: $i,SY3486: $i,SY3487: $i] :
( ( ( hAPP @ SV402 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SY3484 ) )
!= ( hAPP @ SV1131 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SY3484 ) ) )
| ( SV815 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY3485 @ SV402 @ SY3486 @ SV815 @ SY3484 )
= ( c_Message_Oagent_Oagent__case @ SY3487 @ SV1131 @ SY3486 @ SV815 @ SY3484 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2238]) ).
thf(2612,plain,
! [SV1132: $i,SV816: $i,SV403: $i] :
( ( ! [SY3488: $i,SY3489: $i,SY3490: $i] :
( ( ( c_Event_Oevent_OSays @ SV403 @ SV816 @ SV1132 )
!= ( c_Event_Oevent_OSays @ SY3488 @ SY3489 @ SY3490 ) )
| ( SV403 = SY3488 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2239]) ).
thf(2613,plain,
! [SV1133: $i,SV817: $i,SV404: $i] :
( ( ! [SY3491: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ SV404 )
| ( ( c_HOL_Ominus__class_Ominus @ SV817 @ SV817 @ SV404 )
!= ( c_HOL_Ominus__class_Ominus @ SV1133 @ SY3491 @ SV404 ) )
| ( SV1133 = SY3491 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2614,plain,
! [SV1134: $i,SV818: $i,SV405: $i] :
( ( ! [SY3492: $i,SY3493: $i] :
( ( ( c_List_OdropWhile @ SV405 @ SV818 @ SV1134 )
!= ( c_List_Olist_OCons @ SY3492 @ SY3493 @ SV1134 ) )
| ~ ( hBOOL @ ( hAPP @ SV405 @ SY3492 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2241]) ).
thf(2615,plain,
! [SV1135: $i,SV819: $i,SV406: $i] :
( ( ! [SY3494: $i,SY3495: $i,SY3496: $i] :
( ~ ( class_Divides_Oring__div @ SV406 )
| ( ( c_Divides_Odiv__class_Omod @ SV819 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SY3494 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ SY3495 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SY3496 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3495 @ SV819 @ SV406 ) @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3496 @ SY3494 @ SV406 ) @ SV1135 @ SV406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2616,plain,
! [SV1136: $i,SV820: $i,SV407: $i] :
( ( ! [SY3497: $i,SY3498: $i,SY3499: $i,SY3500: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SY3497 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SY3498 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SY3499 @ ( tc_List_Olist @ SY3497 ) ) )
| ( c_List_Olist__all2 @ SY3500 @ ( c_List_Oappend @ SY3499 @ SV1136 @ SY3497 ) @ ( c_List_Oappend @ SY3498 @ SV407 @ SV820 ) @ SY3497 @ SV820 )
| ~ ( c_List_Olist__all2 @ SY3500 @ SV1136 @ SV407 @ SY3497 @ SV820 )
| ~ ( c_List_Olist__all2 @ SY3500 @ SY3499 @ SY3498 @ SY3497 @ SV820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2243]) ).
thf(2617,plain,
! [SV1137: $i,SV821: $i,SV408: $i] :
( ( ( ( c_List_Oappend @ SV408 @ SV821 @ SV1137 )
!= ( c_List_Olist_ONil @ SV1137 ) )
| ( SV408
= ( c_List_Olist_ONil @ SV1137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2244]) ).
thf(2618,plain,
! [SV1138: $i,SV822: $i,SV409: $i] :
( ( ! [SY3501: $i] :
( ( ( c_List_Oappend @ SV409 @ SV822 @ SV1138 )
!= ( c_List_Oappend @ SY3501 @ SV822 @ SV1138 ) )
| ( SV409 = SY3501 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2245]) ).
thf(2619,plain,
! [SV1139: $i,SV823: $i,SV410: $i] :
( ( ! [SY3502: $i,SY3503: $i,SY3504: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV410 @ ( tc_List_Olist @ SV823 ) )
!= ( c_Nat_Osize__class_Osize @ SV1139 @ ( tc_List_Olist @ SY3502 ) ) )
| ( ( c_Map_Omap__upds @ SY3503 @ ( c_List_Oappend @ SV410 @ SY3504 @ SV823 ) @ SV1139 @ SV823 @ SY3502 )
= ( c_Map_Omap__upds @ SY3503 @ SV410 @ SV1139 @ SV823 @ SY3502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2246]) ).
thf(2620,plain,
! [SV1140: $i,SV824: $i,SV411: $i] :
( ( ! [SY3505: $i,SY3506: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV411 )
| ( ( c_HOL_Ominus__class_Ominus @ SV824 @ SV1140 @ SV411 )
!= ( c_HOL_Ominus__class_Ominus @ SY3505 @ SY3506 @ SV411 ) )
| ( c_lessequals @ SY3506 @ SY3505 @ SV411 )
| ~ ( c_lessequals @ SV1140 @ SV824 @ SV411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2247]) ).
thf(2621,plain,
! [SV825: $i,SV412: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV412 )
!= ( c_Message_Oagent_OFriend @ SV825 ) )
= $true )
| ( ( SV412 = SV825 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2248]) ).
thf(2622,plain,
! [SV1141: $i,SV826: $i,SV413: $i] :
( ( ! [SY3507: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ SV413 )
| ( ( c_HOL_Ominus__class_Ominus @ SV826 @ SV1141 @ SV413 )
!= ( c_HOL_Ominus__class_Ominus @ SY3507 @ SY3507 @ SV413 ) )
| ( SV826 = SV1141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2249]) ).
thf(2623,plain,
! [SV1142: $i,SV827: $i,SV414: $i] :
( ( ! [SY3508: $i,SY3509: $i,SY3510: $i,SY3511: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SV827 ) )
!= ( c_Nat_Osize__class_Osize @ SV1142 @ ( tc_List_Olist @ SY3508 ) ) )
| ( c_List_Olist__all2 @ SY3509 @ SY3510 @ SY3511 @ SV827 @ SY3508 )
| ~ ( c_List_Olist__all2 @ SY3509 @ ( c_List_Oappend @ SV414 @ SY3510 @ SV827 ) @ ( c_List_Oappend @ SV1142 @ SY3511 @ SY3508 ) @ SV827 @ SY3508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2250]) ).
thf(2624,plain,
! [SV1143: $i,SV828: $i,SV415: $i] :
( ( ( c_List_Olist_ONil @ SV415 )
!= ( c_List_Olist_OCons @ SV828 @ SV1143 @ SV415 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2625,plain,
! [SV1144: $i,SV829: $i,SV417: $i] :
( ( ! [SY3512: $i,SY3513: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV417 )
| ( ( c_HOL_Ominus__class_Ominus @ SV829 @ SV1144 @ SV417 )
!= ( c_HOL_Ominus__class_Ominus @ SY3512 @ SY3513 @ SV417 ) )
| ( c_lessequals @ SV1144 @ SV829 @ SV417 )
| ~ ( c_lessequals @ SY3513 @ SY3512 @ SV417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2253]) ).
thf(2626,plain,
! [SV1145: $i,SV830: $i,SV418: $i] :
( ( ( SV418
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV418 @ ( tc_List_Olist @ SV830 ) ) @ SV1145 @ SV830 ) )
| ( ( c_List_Oappend @ SV418 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV418 @ ( tc_List_Olist @ SV830 ) ) @ SV1145 @ SV830 ) @ SV830 )
= SV1145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2254]) ).
thf(2627,plain,
! [SV831: $i,SV419: $i] :
( ( ( ( c_List_Orotate1 @ SV419 @ SV831 )
!= ( c_List_Olist_ONil @ SV831 ) )
= $true )
| ( ( SV419
= ( c_List_Olist_ONil @ SV831 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2255]) ).
thf(2628,plain,
! [SV1146: $i,SV832: $i,SV420: $i] :
( ( ! [SY3514: $i,SY3515: $i] :
( ( ( c_List_Oappend @ SV420 @ ( c_List_Olist_OCons @ SV832 @ ( c_List_Olist_ONil @ SV1146 ) @ SV1146 ) @ SV1146 )
!= ( c_List_Oappend @ SY3514 @ ( c_List_Olist_OCons @ SY3515 @ ( c_List_Olist_ONil @ SV1146 ) @ SV1146 ) @ SV1146 ) )
| ( SV420 = SY3514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2256]) ).
thf(2629,plain,
! [SV833: $i,SV421: $i] :
( ( ( ( c_List_Olist_ONil @ SV421 )
!= ( c_List_Oremdups @ SV833 @ SV421 ) )
= $true )
| ( ( SV833
= ( c_List_Olist_ONil @ SV421 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2257]) ).
thf(2630,plain,
! [SV1147: $i,SV834: $i,SV422: $i] :
( ( ! [SY3516: $i,SY3517: $i,SY3518: $i] :
( ( ( c_Event_Oevent_OSays @ SV422 @ SV834 @ SV1147 )
!= ( c_Event_Oevent_OSays @ SY3516 @ SY3517 @ SY3518 ) )
| ( SV1147 = SY3518 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2258]) ).
thf(2631,plain,
! [SV1148: $i,SV835: $i,SV423: $i] :
( ( ! [SY3519: $i,SY3520: $i] :
( ( ( c_List_Ofilter @ SV423 @ SV835 @ SV1148 )
!= ( c_List_Olist_OCons @ SY3519 @ SY3520 @ SV1148 ) )
| ( hBOOL @ ( hAPP @ SV423 @ SY3519 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2259]) ).
thf(2632,plain,
! [SV1149: $i,SV836: $i,SV424: $i] :
( ( ! [SY3521: $i,SY3522: $i,SY3523: $i,SY3524: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SY3521 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SY3522 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SY3523 @ ( tc_List_Olist @ SY3521 ) ) )
| ( c_List_Olist__all2 @ SY3524 @ ( c_List_Oappend @ SY3522 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SY3523 @ SV1149 @ SY3521 ) @ SV836 @ SY3521 )
| ~ ( c_List_Olist__all2 @ SY3524 @ SV424 @ SV1149 @ SV836 @ SY3521 )
| ~ ( c_List_Olist__all2 @ SY3524 @ SY3522 @ SY3523 @ SV836 @ SY3521 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2260]) ).
thf(2633,plain,
! [SV1150: $i,SV837: $i,SV425: $i] :
( ( ! [SY3525: $i,SY3526: $i,SY3527: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV425 @ ( tc_List_Olist @ SV837 ) )
!= ( c_Nat_Osize__class_Osize @ SV1150 @ ( tc_List_Olist @ SY3525 ) ) )
| ( ( c_Map_Omap__upds @ SY3526 @ SV425 @ ( c_List_Oappend @ SV1150 @ SY3527 @ SY3525 ) @ SV837 @ SY3525 )
= ( c_Map_Omap__upds @ SY3526 @ SV425 @ SV1150 @ SV837 @ SY3525 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2261]) ).
thf(2634,plain,
! [SV1151: $i,SV838: $i,SV426: $i] :
( ( ! [SY3528: $i] :
( ( ( c_List_Olist__update @ SV426 @ SV838 @ SV1151 @ SY3528 )
!= ( c_List_Olist_ONil @ SY3528 ) )
| ( SV426
= ( c_List_Olist_ONil @ SY3528 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2635,plain,
! [SV1152: $i,SV839: $i,SV427: $i] :
( ( ! [SY3529: $i,SY3530: $i] :
( ( c_Event_Oevent_OGets @ SV427 @ SV839 )
!= ( c_Event_Oevent_OSays @ SV1152 @ SY3529 @ SY3530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2263]) ).
thf(2636,plain,
! [SV1153: $i,SV840: $i,SV428: $i] :
( ( ! [SY3531: $i] :
( ( ( c_Event_Oevent_OGets @ SV428 @ SV840 )
!= ( c_Event_Oevent_OGets @ SV1153 @ SY3531 ) )
| ( SV428 = SV1153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2264]) ).
thf(2637,plain,
! [SV841: $i,SV430: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV430 @ SV841 ) @ ( tc_List_Olist @ SV841 ) )
!= ( c_Nat_Osize__class_Osize @ SV430 @ ( tc_List_Olist @ SV841 ) ) )
= $true )
| ( ( ( c_List_Oremdups @ SV430 @ SV841 )
= SV430 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2266]) ).
thf(2638,plain,
! [SV1154: $i,SV842: $i,SV431: $i,SV1: $i] :
( ( ! [SY3532: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV1 @ SV431 ) @ ( c_Event_Oknows @ SV1 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV842 @ SV1154 @ SY3532 ) @ SV431 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2639,plain,
! [SV1155: $i,SV843: $i,SV432: $i,SV2: $i] :
( ( ( c_Event_Oknows @ SV2 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV2 @ SV432 @ SV843 ) @ SV1155 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV843 @ ( c_Event_Oknows @ SV2 @ SV1155 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2268]) ).
thf(2640,plain,
! [SV1156: $i,SV844: $i,SV433: $i,SV3: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV3 @ SV433 @ SV844 ) @ SV1156 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV844 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1156 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2269]) ).
thf(2641,plain,
! [SV1157: $i,SV845: $i,SV434: $i,SV4: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV4 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV434 @ SV845 @ SV1157 ) @ SV4 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2270]) ).
thf(2642,plain,
! [SV846: $i,SV435: $i,SV5: $i] :
( ( ( ( c_List_Odrop @ SV5 @ SV435 @ SV846 )
= ( c_List_Olist_ONil @ SV846 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV435 @ ( tc_List_Olist @ SV846 ) ) @ SV5 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2271]) ).
thf(2643,plain,
! [SV1158: $i,SV847: $i,SV436: $i,SV6: $i] :
( ( ( c_List_Otake @ SV6 @ ( c_List_Oappend @ SV436 @ SV847 @ SV1158 ) @ SV1158 )
= ( c_List_Oappend @ ( c_List_Otake @ SV6 @ SV436 @ SV1158 ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV6 @ ( c_Nat_Osize__class_Osize @ SV436 @ ( tc_List_Olist @ SV1158 ) ) @ tc_nat ) @ SV847 @ SV1158 ) @ SV1158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2272]) ).
thf(2644,plain,
! [SV1159: $i,SV848: $i,SV437: $i,SV7: $i] :
( ( ( c_List_Odrop @ SV7 @ ( c_List_Oappend @ SV437 @ SV848 @ SV1159 ) @ SV1159 )
= ( c_List_Oappend @ ( c_List_Odrop @ SV7 @ SV437 @ SV1159 ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ SV7 @ ( c_Nat_Osize__class_Osize @ SV437 @ ( tc_List_Olist @ SV1159 ) ) @ tc_nat ) @ SV848 @ SV1159 ) @ SV1159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2273]) ).
thf(2645,plain,
! [SV1160: $i,SV849: $i,SV438: $i,SV8: $i] :
( ( ! [SY3533: $i] :
( ( hBOOL @ ( hAPP @ SV8 @ ( c_Message_Oagent_Oagent__case @ SV438 @ SV849 @ SV1160 @ SY3533 @ t_a ) ) )
| ( SY3533 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV8 @ ( hAPP @ SV849 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV8 @ SV849 @ SY3533 ) ) ) )
| ( SY3533 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2274]) ).
thf(2646,plain,
! [SV1161: $i,SV850: $i,SV439: $i,SV9: $i] :
( ( ! [SY3534: $i] :
( ( hBOOL @ ( hAPP @ SV9 @ ( c_Message_Oagent_Oagent__case @ SV439 @ SV850 @ SV1161 @ SY3534 @ t_a ) ) )
| ( SY3534 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV9 @ ( hAPP @ SV850 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV9 @ SV850 @ SY3534 ) ) ) )
| ( SY3534 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2647,plain,
! [SV1162: $i,SV851: $i,SV440: $i,SV10: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV10 @ SV440 ) @ ( c_Event_Oknows @ SV10 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV851 @ SV1162 ) @ SV440 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2276]) ).
thf(2648,plain,
! [SV1163: $i,SV852: $i,SV441: $i,SV11: $i] :
( ( ! [SY3535: $i] :
( ( hBOOL @ ( hAPP @ SV11 @ ( c_Message_Oagent_Oagent__case @ SV441 @ SV852 @ SV1163 @ SY3535 @ t_a ) ) )
| ( SY3535 = c_Message_Oagent_OSpy )
| ( SY3535
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV11 @ SV852 @ SY3535 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV11 @ SV441 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2277]) ).
thf(2649,plain,
! [SV1164: $i,SV853: $i,SV442: $i,SV12: $i] :
( ( ! [SY3536: $i,SY3537: $i,SY3538: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV12 @ SV442 @ SV853 @ SV1164 @ SY3536 )
= ( c_Message_Oagent_Oagent__case @ SV12 @ SY3537 @ SY3538 @ SV1164 @ SY3536 ) )
| ( SV1164 = c_Message_Oagent_OSpy )
| ( SV1164
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1164 @ SV442 @ SY3537 @ SY3536 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2278]) ).
thf(2650,plain,
! [SV1165: $i,SV854: $i,SV443: $i,SV13: $i] :
( ( ! [SY3539: $i] :
( ( hBOOL @ ( hAPP @ SV13 @ ( c_Message_Oagent_Oagent__case @ SV443 @ SV854 @ SV1165 @ SY3539 @ t_a ) ) )
| ( SY3539 = c_Message_Oagent_OSpy )
| ( SY3539
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV13 @ SV854 @ SY3539 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV13 @ SV443 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2279]) ).
thf(2651,plain,
! [SV1166: $i,SV855: $i,SV444: $i,SV14: $i] :
( ( ! [SY3540: $i] :
( ( hBOOL @ ( hAPP @ SV14 @ ( c_Message_Oagent_Oagent__case @ SV444 @ SV855 @ SV1166 @ SY3540 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV14 @ SV1166 ) )
| ( SY3540
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV14 @ SV855 @ SY3540 ) ) )
| ( SY3540 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2280]) ).
thf(2652,plain,
! [SV1167: $i,SV856: $i,SV445: $i,SV15: $i] :
( ( ! [SY3541: $i,SY3542: $i,SY3543: $i] :
( ( SV15
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV15 @ SV445 @ SV856 @ SV1167 ) ) )
| ( SV15 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY3541 @ SV445 @ SY3542 @ SV15 @ SV1167 )
= ( c_Message_Oagent_Oagent__case @ SY3543 @ SV856 @ SY3542 @ SV15 @ SV1167 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2281]) ).
thf(2653,plain,
! [SV1168: $i,SV857: $i,SV446: $i,SV16: $i] :
( ( ! [SY3544: $i] :
( ( hBOOL @ ( hAPP @ SV16 @ ( c_Message_Oagent_Oagent__case @ SV446 @ SV857 @ SV1168 @ SY3544 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV16 @ SV1168 ) )
| ( SY3544
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV16 @ SV857 @ SY3544 ) ) )
| ( SY3544 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2282]) ).
thf(2654,plain,
! [SV1169: $i,SV858: $i,SV447: $i,SV17: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV17 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV447 @ SV858 @ SV1169 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1169 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV17 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2283]) ).
thf(2655,plain,
! [SV1170: $i,SV860: $i,SV449: $i,SV21: $i] :
( ( ! [SY3545: $i] :
( ~ ( class_HOL_Oord @ SV21 )
| ( c_lessequals @ ( hAPP @ SV449 @ SV860 ) @ ( hAPP @ SV1170 @ SV860 ) @ SV21 )
| ~ ( c_lessequals @ SV449 @ SV1170 @ ( tc_fun @ SY3545 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2285]) ).
thf(2656,plain,
! [SV1171: $i,SV861: $i,SV450: $i,SV22: $i] :
( ( ! [SY3546: $i] :
( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV861 @ SV1171 @ SY3546 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV1171 ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SV861 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SV861 @ SY3546 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV450 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2286]) ).
thf(2657,plain,
! [SV23: $i,SV451: $i] :
( ( ( c_lessequals @ SV451 @ SV23 @ tc_nat )
= $false )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV23 @ ( c_HOL_Ominus__class_Ominus @ SV23 @ SV451 @ tc_nat ) @ tc_nat )
= SV451 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2658,plain,
! [SV1172: $i,SV863: $i,SV453: $i,SV25: $i] :
( ( ~ ( class_Divides_Oring__div @ SV25 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV453 @ SV863 @ SV25 ) @ SV1172 @ SV25 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV453 @ SV1172 @ SV25 ) @ ( c_Divides_Odiv__class_Omod @ SV863 @ SV1172 @ SV25 ) @ SV25 ) @ SV1172 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2289]) ).
thf(2659,plain,
! [SV1173: $i,SV864: $i,SV455: $i,SV27: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV27 @ SV455 @ SV864 ) @ SV1173 ) )
| ~ ( hBOOL @ ( hAPP @ SV455 @ SV1173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2290]) ).
thf(2660,plain,
! [SV866: $i,SV457: $i,SV29: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV29 @ SV457 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV866 @ SV457 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV29 @ SV866 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV457 @ SV866 @ tc_nat )
| ~ ( c_lessequals @ SV457 @ SV29 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2292]) ).
thf(2661,plain,
! [SV869: $i,SV461: $i,SV33: $i] :
( ( ( c_lessequals @ SV33 @ SV461 @ tc_nat )
= $true )
| ( ( ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV33 @ SV869 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV461 @ SV869 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV869 @ SV461 @ tc_nat )
| ~ ( c_lessequals @ SV869 @ SV33 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2295]) ).
thf(2662,plain,
! [SV870: $i,SV462: $i,SV34: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV34 @ SV462 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV870 @ SV462 @ tc_nat ) @ tc_nat )
= $true )
| ( ( ~ ( c_lessequals @ SV34 @ SV870 @ tc_nat )
| ~ ( c_lessequals @ SV462 @ SV870 @ tc_nat )
| ~ ( c_lessequals @ SV462 @ SV34 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2296]) ).
thf(2663,plain,
! [SV871: $i,SV463: $i,SV35: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV35 @ SV463 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV871 @ SV463 @ tc_nat ) @ tc_nat )
= $true )
| ( ( ~ ( c_lessequals @ SV35 @ SV871 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2297]) ).
thf(2664,plain,
! [SV872: $i,SV464: $i,SV36: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV36 @ SV464 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV36 @ SV872 @ tc_nat ) @ tc_nat )
= $true )
| ( ( ~ ( c_lessequals @ SV872 @ SV464 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2298]) ).
thf(2665,plain,
! [SV1174: $i,SV873: $i,SV465: $i,SV37: $i] :
( ( ( c_Set_Oinsert @ SV37 @ ( c_Set_Oinsert @ SV465 @ SV873 @ SV1174 ) @ SV1174 )
= ( c_Set_Oinsert @ SV465 @ ( c_Set_Oinsert @ SV37 @ SV873 @ SV1174 ) @ SV1174 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2299]) ).
thf(2666,plain,
! [SV1175: $i,SV874: $i,SV466: $i,SV38: $i] :
( ( ~ ( class_Divides_Oring__div @ SV38 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV466 @ SV874 @ SV38 ) @ SV1175 @ SV38 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV466 @ ( c_Divides_Odiv__class_Omod @ SV874 @ SV1175 @ SV38 ) @ SV38 ) @ SV1175 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2300]) ).
thf(2667,plain,
! [SV1176: $i,SV875: $i,SV467: $i,SV39: $i] :
( ( ~ ( class_Divides_Oring__div @ SV39 )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV467 @ SV875 @ SV39 ) @ SV1176 @ SV39 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV467 @ SV1176 @ SV39 ) @ SV875 @ SV39 ) @ SV1176 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2301]) ).
thf(2668,plain,
! [SV1177: $i,SV876: $i,SV468: $i,SV40: $i] :
( ( ! [SY3547: $i] :
( ( c_Fun_Oinj__on @ SV40 @ SV468 @ SV876 @ SV1177 )
| ~ ( c_Fun_Oinj__on @ SV40 @ ( c_Set_Oinsert @ SY3547 @ SV468 @ SV876 ) @ SV876 @ SV1177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2302]) ).
thf(2669,plain,
! [SV1178: $i,SV878: $i,SV470: $i,SV42: $i] :
( ( ( c_lessequals @ SV42 @ SV470 @ ( tc_fun @ SV878 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV1178 @ SV42 @ SV878 ) @ SV470 @ ( tc_fun @ SV878 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2304]) ).
thf(2670,plain,
! [SV1179: $i,SV879: $i,SV471: $i,SV43: $i] :
( ( ( c_lessequals @ SV43 @ ( c_Set_Oinsert @ SV471 @ SV879 @ SV1179 ) @ ( tc_fun @ SV1179 @ tc_bool ) )
| ~ ( c_lessequals @ SV43 @ SV879 @ ( tc_fun @ SV1179 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2305]) ).
thf(2671,plain,
! [SV880: $i,SV472: $i,SV44: $i] :
( ( ( ~ ( class_Divides_Osemiring__div @ SV44 ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ SV472 @ SV880 @ SV44 ) @ SV880 @ SV44 )
= ( c_Divides_Odiv__class_Omod @ SV472 @ SV880 @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2306]) ).
thf(2672,plain,
! [SV1180: $i,SV882: $i,SV474: $i,SV46: $i] :
( ( ( hBOOL @ ( hAPP @ SV46 @ SV474 ) )
| ( SV882 = SV474 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV882 @ SV46 @ SV1180 ) @ SV474 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2308]) ).
thf(2673,plain,
! [SV48: $i,SV476: $i] :
( ( ( c_lessequals @ SV476 @ SV48 @ tc_nat )
= $false )
| ( ( ( c_Divides_Odiv__class_Omod @ SV48 @ SV476 @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SV476 @ tc_nat ) @ SV476 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2310]) ).
thf(2674,plain,
! [SV885: $i,SV478: $i,SV50: $i] :
( ( ( SV50 = SV478 )
= $true )
| ( ( ~ ( c_lessequals @ SV478 @ SV50 @ ( tc_fun @ SV885 @ tc_bool ) )
| ~ ( c_lessequals @ SV50 @ SV478 @ ( tc_fun @ SV885 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2312]) ).
thf(2675,plain,
! [SV51: $i,SV479: $i] :
( ( ( ~ ( c_lessequals @ SV479 @ SV51 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV51 @ SV479 @ tc_nat ) )
= $true )
| ( ( SV51 = SV479 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2676,plain,
! [SV886: $i,SV480: $i,SV52: $i] :
( ( ( SV52 = SV480 )
= $true )
| ( ( ~ ( c_lessequals @ SV480 @ SV52 @ ( tc_fun @ SV886 @ tc_bool ) )
| ~ ( c_lessequals @ SV52 @ SV480 @ ( tc_fun @ SV886 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2314]) ).
thf(2677,plain,
! [SV887: $i,SV481: $i,SV53: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV53 ) )
= $true )
| ( ( ( SV481 = SV887 )
| ~ ( c_lessequals @ SV887 @ SV481 @ SV53 )
| ~ ( c_lessequals @ SV481 @ SV887 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2315]) ).
thf(2678,plain,
! [SV888: $i,SV482: $i,SV54: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV54 ) )
= $true )
| ( ( ( SV482 = SV888 )
| ~ ( c_lessequals @ SV888 @ SV482 @ SV54 )
| ~ ( c_lessequals @ SV482 @ SV888 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2316]) ).
thf(2679,plain,
! [SV889: $i,SV483: $i,SV55: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV55 ) )
= $true )
| ( ( ( SV483 = SV889 )
| ~ ( c_lessequals @ SV483 @ SV889 @ SV55 )
| ~ ( c_lessequals @ SV889 @ SV483 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2317]) ).
thf(2680,plain,
! [SV1181: $i,SV890: $i,SV484: $i,SV56: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV56 @ SV484 @ SV890 @ SV1181 ) @ SV1181 ) @ ( c_Set_Oinsert @ SV890 @ ( c_List_Oset @ SV56 @ SV1181 ) @ SV1181 ) @ ( tc_fun @ SV1181 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2318]) ).
thf(2681,plain,
! [SV1182: $i,SV892: $i,SV486: $i,SV58: $i] :
( ( ~ ( class_Orderings_Oorder @ SV58 )
| ( c_lessequals @ SV486 @ SV892 @ SV58 )
| ~ ( c_lessequals @ SV486 @ SV1182 @ SV58 )
| ~ ( c_lessequals @ SV1182 @ SV892 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2320]) ).
thf(2682,plain,
! [SV1183: $i,SV893: $i,SV487: $i,SV59: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV59 )
| ( c_lessequals @ SV487 @ SV893 @ SV59 )
| ~ ( c_lessequals @ SV1183 @ SV893 @ SV59 )
| ~ ( c_lessequals @ SV487 @ SV1183 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2321]) ).
thf(2683,plain,
! [SV894: $i,SV488: $i,SV61: $i] :
( ( ( c_lessequals @ SV61 @ SV488 @ tc_nat )
= $true )
| ( ( ~ ( c_lessequals @ SV894 @ SV488 @ tc_nat )
| ~ ( c_lessequals @ SV61 @ SV894 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2322]) ).
thf(2684,plain,
! [SV1184: $i,SV895: $i,SV491: $i,SV65: $i] :
( ( ( c_lessequals @ SV65 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
| ~ ( c_lessequals @ SV1184 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
| ~ ( c_lessequals @ SV65 @ SV1184 @ ( tc_fun @ SV895 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2323]) ).
thf(2685,plain,
! [SV1185: $i,SV896: $i,SV492: $i,SV66: $i] :
( ( ! [SY3548: $i] :
( ( c_Fun_Oinj__on @ SV66 @ SV492 @ SV896 @ SV1185 )
| ~ ( c_lessequals @ SV492 @ SY3548 @ ( tc_fun @ SV896 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV66 @ SY3548 @ SV896 @ SV1185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2324]) ).
thf(2686,plain,
! [SV1186: $i,SV897: $i,SV493: $i,SV67: $i] :
( ( ( hBOOL @ ( hAPP @ SV67 @ SV493 ) )
| ~ ( hBOOL @ ( hAPP @ SV897 @ SV493 ) )
| ~ ( c_lessequals @ SV897 @ SV67 @ ( tc_fun @ SV1186 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2325]) ).
thf(2687,plain,
! [SV494: $i,SV68: $i] :
( ( ( class_Orderings_Oorder @ SV68 )
= $false )
| ( ( c_lessequals @ SV494 @ SV494 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2326]) ).
thf(2688,plain,
! [SV495: $i,SV69: $i] :
( ( ( class_Orderings_Opreorder @ SV69 )
= $false )
| ( ( c_lessequals @ SV495 @ SV495 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2689,plain,
! [SV1187: $i,SV898: $i,SV496: $i,SV70: $i] :
( ( ( hBOOL @ ( hAPP @ SV70 @ SV496 ) )
| ~ ( c_lessequals @ SV898 @ SV70 @ ( tc_fun @ SV1187 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV898 @ SV496 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2328]) ).
thf(2690,plain,
! [SV1188: $i,SV899: $i,SV497: $i,SV71: $i] :
( ( ! [SY3549: $i] :
( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SV497 @ SV899 @ SV1188 @ SY3549 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SV1188 ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV899 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SV899 @ SY3549 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SV497 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2329]) ).
thf(2691,plain,
! [SV1189: $i,SV900: $i,SV498: $i,SV72: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV72 @ SV498 @ SV900 ) @ ( c_Set_Oinsert @ SV72 @ SV1189 @ SV900 ) @ ( tc_fun @ SV900 @ tc_bool ) )
| ~ ( c_lessequals @ SV498 @ SV1189 @ ( tc_fun @ SV900 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2330]) ).
thf(2692,plain,
! [SV901: $i,SV500: $i,SV74: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV74 ) )
= $true )
| ( ( ( c_lessequals @ SV500 @ SV901 @ SV74 )
| ( c_lessequals @ SV901 @ SV500 @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2332]) ).
thf(2693,plain,
! [SV903: $i,SV503: $i,SV77: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV77 @ SV503 @ SV903 ) @ SV903 )
= ( c_List_Olist_OCons @ SV77 @ ( c_List_Obutlast @ SV503 @ SV903 ) @ SV903 ) )
= $true )
| ( ( SV503
= ( c_List_Olist_ONil @ SV903 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2334]) ).
thf(2694,plain,
! [SV906: $i,SV506: $i,SV80: $i] :
( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ SV80 @ SV506 @ SV906 ) @ ( tc_List_Olist @ SV906 ) ) @ ( c_Nat_Osize__class_Osize @ SV506 @ ( tc_List_Olist @ SV906 ) ) @ tc_nat )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2337]) ).
thf(2695,plain,
! [SV907: $i,SV508: $i,SV82: $i] :
( ( ( ( c_List_Otl @ ( c_List_Oappend @ SV82 @ SV508 @ SV907 ) @ SV907 )
= ( c_List_Oappend @ ( c_List_Otl @ SV82 @ SV907 ) @ SV508 @ SV907 ) )
= $true )
| ( ( SV82
= ( c_List_Olist_ONil @ SV907 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2338]) ).
thf(2696,plain,
! [SV908: $i,SV509: $i,SV83: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV83 @ SV509 @ SV908 ) @ SV908 )
= ( c_List_Oappend @ SV83 @ ( c_List_Obutlast @ SV509 @ SV908 ) @ SV908 ) )
= $true )
| ( ( SV509
= ( c_List_Olist_ONil @ SV908 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2339]) ).
thf(2697,plain,
! [SV911: $i,SV512: $i,SV86: $i] :
( ( ( ( c_List_Otake @ SV86 @ SV512 @ SV911 )
= SV512 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV512 @ ( tc_List_Olist @ SV911 ) ) @ SV86 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2342]) ).
thf(2698,plain,
! [SV1190: $i,SV913: $i,SV514: $i,SV88: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV88 )
| ( c_lessequals @ SV514 @ SV913 @ SV88 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV514 @ ( c_List_Olist_OCons @ SV913 @ SV1190 @ SV88 ) @ SV88 ) @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2344]) ).
thf(2699,plain,
! [SV1191: $i,SV914: $i,SV515: $i,SV89: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV89 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV515 @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 ) @ SV89 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 )
| ~ ( c_lessequals @ SV515 @ SV914 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2345]) ).
thf(2700,plain,
! [SV1192: $i,SV917: $i,SV518: $i,SV92: $i] :
( ( ( ( c_List_Olist__update @ SV92 @ SV518 @ SV917 @ SV1192 )
= SV92 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV92 @ ( tc_List_Olist @ SV1192 ) ) @ SV518 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2348]) ).
thf(2701,plain,
! [SV1193: $i,SV919: $i,SV520: $i,SV94: $i] :
( ( ( c_List_Odrop @ SV94 @ ( c_List_Otake @ SV520 @ SV919 @ SV1193 ) @ SV1193 )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV520 @ SV94 @ tc_nat ) @ ( c_List_Odrop @ SV94 @ SV919 @ SV1193 ) @ SV1193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2350]) ).
thf(2702,plain,
! [SV1194: $i,SV922: $i,SV524: $i,SV98: $i] :
( ( ! [SY3550: $i] :
( ( hBOOL @ ( hAPP @ SV98 @ ( c_Message_Oagent_Oagent__case @ SV524 @ SV922 @ SV1194 @ SY3550 @ t_a ) ) )
| ( SY3550 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV98 @ ( hAPP @ SV922 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV98 @ SV922 @ SY3550 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ SV524 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2353]) ).
thf(2703,plain,
! [SV1195: $i,SV923: $i,SV525: $i,SV99: $i] :
( ( ! [SY3551: $i] :
( ( hBOOL @ ( hAPP @ SV99 @ ( c_Message_Oagent_Oagent__case @ SV525 @ SV923 @ SV1195 @ SY3551 @ t_a ) ) )
| ( SY3551 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV99 @ ( hAPP @ SV923 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV99 @ SV923 @ SY3551 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV99 @ SV525 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2354]) ).
thf(2704,plain,
! [SV1196: $i,SV925: $i,SV527: $i,SV101: $i] :
( ( ( c_List_Odrop @ SV101 @ ( c_List_Oreplicate @ SV527 @ SV925 @ SV1196 ) @ SV1196 )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ SV527 @ SV101 @ tc_nat ) @ SV925 @ SV1196 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2356]) ).
thf(2705,plain,
! [SV1197: $i,SV927: $i,SV529: $i,SV103: $i] :
( ( ! [SY3552: $i] :
( ( hBOOL @ ( hAPP @ SV103 @ ( c_Message_Oagent_Oagent__case @ SV529 @ SV927 @ SV1197 @ SY3552 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ SV1197 ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ ( hAPP @ SV927 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV103 @ SV927 @ SY3552 ) ) ) )
| ( SY3552 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2358]) ).
thf(2706,plain,
! [SV1198: $i,SV928: $i,SV530: $i,SV104: $i] :
( ( ! [SY3553: $i] :
( ( hBOOL @ ( hAPP @ SV104 @ ( c_Message_Oagent_Oagent__case @ SV530 @ SV928 @ SV1198 @ SY3553 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ SV1198 ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ ( hAPP @ SV928 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV104 @ SV928 @ SY3553 ) ) ) )
| ( SY3553 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2359]) ).
thf(2707,plain,
! [SV1199: $i,SV929: $i,SV531: $i,SV105: $i] :
( ( ! [SY3554: $i,SY3555: $i] :
( ( SV105
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV105 @ SV531 @ SV929 @ SV1199 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY3554 @ SV531 @ SY3555 @ SV105 @ SV1199 )
= ( c_Message_Oagent_Oagent__case @ SY3554 @ SV929 @ SY3555 @ SV105 @ SV1199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2360]) ).
thf(2708,plain,
! [SV1200: $i,SV930: $i,SV532: $i,SV106: $i] :
( ( ! [SY3556: $i] :
( ( hBOOL @ ( hAPP @ SV106 @ ( c_Message_Oagent_Oagent__case @ SV532 @ SV930 @ SV1200 @ SY3556 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SV1200 ) )
| ( SY3556
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV106 @ SV930 @ SY3556 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SV532 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2361]) ).
thf(2709,plain,
! [SV1201: $i,SV931: $i,SV533: $i,SV107: $i] :
( ( ! [SY3557: $i] :
( ( hBOOL @ ( hAPP @ SV107 @ ( c_Message_Oagent_Oagent__case @ SV533 @ SV931 @ SV1201 @ SY3557 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SV1201 ) )
| ( SY3557
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV107 @ SV931 @ SY3557 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SV533 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2362]) ).
thf(2710,plain,
! [SV535: $i,SV109: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV109 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV109 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV109 @ SV535 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2363]) ).
thf(2711,plain,
! [SV536: $i,SV110: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV110 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV110 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV110 @ SV536 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2364]) ).
thf(2712,plain,
! [SV537: $i,SV111: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV111 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV111 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV111 @ SV537 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2365]) ).
thf(2713,plain,
! [SV538: $i,SV112: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV112 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV112 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV112 @ SV538 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2366]) ).
thf(2714,plain,
! [SV539: $i,SV113: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV113 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV113 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV113 @ SV539 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2367]) ).
thf(2715,plain,
! [SV540: $i,SV114: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV114 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV114 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV114 @ SV540 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2368]) ).
thf(2716,plain,
! [SV541: $i,SV115: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV115 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV115 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV115 @ SV541 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2369]) ).
thf(2717,plain,
! [SV542: $i,SV116: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV116 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV116 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV116 @ SV542 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2370]) ).
thf(2718,plain,
! [SV543: $i,SV117: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV117 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV117 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV117 @ SV543 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2371]) ).
thf(2719,plain,
! [SV544: $i,SV118: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV118 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV118 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV118 @ SV544 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2372]) ).
thf(2720,plain,
! [SV545: $i,SV119: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV119 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV119 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV119 @ SV545 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2373]) ).
thf(2721,plain,
! [SV1202: $i,SV932: $i,SV546: $i,SV120: $i] :
( ( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV120 )
| ( ( c_Finite__Set_Osetsum @ SV546 @ ( c_List_Oset @ SV932 @ SV1202 ) @ SV1202 @ SV120 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV546 @ SV932 @ SV1202 @ SV120 ) @ SV120 ) )
| ~ ( c_List_Odistinct @ SV932 @ SV1202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2374]) ).
thf(2722,plain,
! [SV935: $i,SV550: $i,SV124: $i] :
( ( ( ( c_Event_Oknows @ SV124 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV124 @ SV550 ) @ SV935 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV550 @ ( c_Event_Oknows @ SV124 @ SV935 ) @ tc_Message_Omsg ) )
= $true )
| ( ( SV124 = c_Message_Oagent_OSpy )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2378]) ).
thf(2723,plain,
! [SV1203: $i,SV937: $i,SV552: $i,SV126: $i] :
( ( ! [SY3558: $i] :
( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV552 @ SV937 @ SV1203 @ SY3558 @ t_a ) ) )
| ( SY3558 = c_Message_Oagent_OSpy )
| ( SY3558
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV937 @ SY3558 ) ) )
| ( SY3558 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2380]) ).
thf(2724,plain,
! [SV1204: $i,SV938: $i,SV553: $i,SV127: $i] :
( ( ! [SY3559: $i,SY3560: $i,SY3561: $i,SY3562: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SV553 @ SV938 @ SV1204 @ SY3559 )
= ( c_Message_Oagent_Oagent__case @ SY3560 @ SY3561 @ SY3562 @ SV1204 @ SY3559 ) )
| ( SV1204 = c_Message_Oagent_OSpy )
| ( SV1204
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1204 @ SV553 @ SY3561 @ SY3559 ) ) )
| ( SV1204 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2381]) ).
thf(2725,plain,
! [SV1205: $i,SV939: $i,SV554: $i,SV128: $i] :
( ( ! [SY3563: $i] :
( ( hBOOL @ ( hAPP @ SV128 @ ( c_Message_Oagent_Oagent__case @ SV554 @ SV939 @ SV1205 @ SY3563 @ t_a ) ) )
| ( SY3563 = c_Message_Oagent_OSpy )
| ( SY3563
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV128 @ SV939 @ SY3563 ) ) )
| ( SY3563 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2382]) ).
thf(2726,plain,
! [SV941: $i,SV557: $i,SV131: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV131 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SV557 @ SV941 @ SV131 ) @ SV131 )
| ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2385]) ).
thf(2727,plain,
! [SV1206: $i,SV942: $i,SV558: $i,SV132: $i] :
( ( ! [SY3564: $i] :
( ( c_List_Otake @ SV132 @ ( c_List_Omap @ SV558 @ SV942 @ SV1206 @ SY3564 ) @ SY3564 )
= ( c_List_Omap @ SV558 @ ( c_List_Otake @ SV132 @ SV942 @ SV1206 ) @ SV1206 @ SY3564 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2386]) ).
thf(2728,plain,
! [SV1207: $i,SV944: $i,SV560: $i,SV134: $i] :
( ( ! [SY3565: $i,SY3566: $i] :
( ( c_List_Olist__all2 @ SV134 @ ( c_List_Otake @ SV560 @ SV944 @ SV1207 ) @ ( c_List_Otake @ SV560 @ SY3565 @ SY3566 ) @ SV1207 @ SY3566 )
| ~ ( c_List_Olist__all2 @ SV134 @ SV944 @ SY3565 @ SV1207 @ SY3566 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2388]) ).
thf(2729,plain,
! [SV1208: $i,SV945: $i,SV561: $i,SV135: $i] :
( ( ( c_Fun_Oinj__on @ SV135 @ ( c_List_Oset @ SV561 @ SV945 ) @ SV945 @ SV1208 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SV135 @ SV561 @ SV945 @ SV1208 ) @ SV1208 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2389]) ).
thf(2730,plain,
! [SV946: $i,SV562: $i,SV136: $i] :
( ( ( SV136 = SV562 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ ( c_fequal @ SV946 ) @ SV136 @ SV562 @ SV946 @ SV946 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2390]) ).
thf(2731,plain,
! [SV1209: $i,SV947: $i,SV563: $i,SV137: $i] :
( ( ! [SY3567: $i,SY3568: $i] :
( ( c_List_Ofoldl @ SV137 @ SV563 @ ( c_List_Olist_OCons @ SV947 @ SV1209 @ SY3567 ) @ SY3568 @ SY3567 )
= ( c_List_Ofoldl @ SV137 @ ( hAPP @ ( hAPP @ SV137 @ SV563 ) @ SV947 ) @ SV1209 @ SY3568 @ SY3567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2391]) ).
thf(2732,plain,
! [SV1210: $i,SV948: $i,SV564: $i,SV138: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV138 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1210 @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 ) @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2392]) ).
thf(2733,plain,
! [SV1211: $i,SV949: $i,SV565: $i,SV139: $i] :
( ( ! [SY3569: $i,SY3570: $i,SY3571: $i] :
( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SV565 @ SV949 @ SV1211 ) @ ( c_List_Oappend @ SY3569 @ SY3570 @ SY3571 ) @ SV1211 @ SY3571 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV949 @ SY3570 @ SV1211 @ SY3571 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV565 @ SY3569 @ SV1211 @ SY3571 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2393]) ).
thf(2734,plain,
! [SV1212: $i,SV950: $i,SV566: $i,SV140: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV140 @ SV566 @ SV950 ) @ SV1212 @ SV950 )
= ( c_List_Olist_OCons @ SV140 @ ( c_List_Oappend @ SV566 @ SV1212 @ SV950 ) @ SV950 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2394]) ).
thf(2735,plain,
! [SV1213: $i,SV951: $i,SV567: $i,SV141: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV141 @ SV567 @ SV951 ) @ SV1213 @ SV951 )
= ( c_List_Olist_OCons @ SV141 @ ( c_List_Oappend @ SV567 @ SV1213 @ SV951 ) @ SV951 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2395]) ).
thf(2736,plain,
! [SV952: $i,SV568: $i,SV142: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV142 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV142 @ SV568 @ SV952 ) @ SV952 ) ) ) )
= $true )
| ( ( ( c_List_OdropWhile @ SV142 @ SV568 @ SV952 )
= ( c_List_Olist_ONil @ SV952 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2396]) ).
thf(2737,plain,
! [SV569: $i,SV143: $i] :
( ( ( c_List_Odistinct @ SV143 @ SV569 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV143 @ SV569 ) @ SV569 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2397]) ).
thf(2738,plain,
! [SV570: $i,SV144: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV144 @ SV570 ) @ SV570 )
= $false )
| ( ( c_List_Odistinct @ SV144 @ SV570 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2398]) ).
thf(2739,plain,
! [SV954: $i,SV572: $i,SV146: $i] :
( ( ( c_List_Odistinct @ ( c_List_Ofilter @ SV146 @ SV572 @ SV954 ) @ SV954 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV572 @ SV954 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2400]) ).
thf(2740,plain,
! [SV1214: $i,SV955: $i,SV573: $i,SV147: $i] :
( ( ! [SY3572: $i] :
( ( c_List_Omap @ SV147 @ ( c_List_Olist_OCons @ SV573 @ SV955 @ SV1214 ) @ SV1214 @ SY3572 )
= ( c_List_Olist_OCons @ ( hAPP @ SV147 @ SV573 ) @ ( c_List_Omap @ SV147 @ SV955 @ SV1214 @ SY3572 ) @ SY3572 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2401]) ).
thf(2741,plain,
! [SV1215: $i,SV956: $i,SV574: $i,SV148: $i] :
( ( ! [SY3573: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ SV148 @ SV574 ) @ ( c_List_Omap @ SV148 @ SV956 @ SV1215 @ SY3573 ) @ SY3573 )
= ( c_List_Omap @ SV148 @ ( c_List_Olist_OCons @ SV574 @ SV956 @ SV1215 ) @ SV1215 @ SY3573 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2402]) ).
thf(2742,plain,
! [SV1216: $i,SV957: $i,SV575: $i,SV149: $i] :
( ( ! [SY3574: $i] :
( ( c_List_Omap @ SV149 @ ( c_List_Olist_OCons @ SV575 @ SV957 @ SV1216 ) @ SV1216 @ SY3574 )
= ( c_List_Olist_OCons @ ( hAPP @ SV149 @ SV575 ) @ ( c_List_Omap @ SV149 @ SV957 @ SV1216 @ SY3574 ) @ SY3574 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2403]) ).
thf(2743,plain,
! [SV1217: $i,SV958: $i,SV576: $i,SV150: $i] :
( ( ! [SY3575: $i,SY3576: $i] :
( ( c_List_Olist_Olist__case @ SV150 @ SV576 @ ( c_List_Olist_OCons @ SV958 @ SV1217 @ SY3575 ) @ SY3576 @ SY3575 )
= ( hAPP @ ( hAPP @ SV576 @ SV958 ) @ SV1217 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2404]) ).
thf(2744,plain,
! [SV1218: $i,SV960: $i,SV578: $i,SV152: $i] :
( ( ! [SY3577: $i,SY3578: $i,SY3579: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV152 @ SV578 ) @ SV960 ) )
| ~ ( c_List_Olist__all2 @ SV152 @ ( c_List_Olist_OCons @ SV578 @ SV1218 @ SY3577 ) @ ( c_List_Olist_OCons @ SV960 @ SY3578 @ SY3579 ) @ SY3577 @ SY3579 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2406]) ).
thf(2745,plain,
! [SV1219: $i,SV961: $i,SV579: $i,SV153: $i] :
( ( ( c_List_Olist_OCons @ SV153 @ ( c_List_Oappend @ SV579 @ SV961 @ SV1219 ) @ SV1219 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV153 @ SV579 @ SV1219 ) @ SV961 @ SV1219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2407]) ).
thf(2746,plain,
! [SV1220: $i,SV962: $i,SV580: $i,SV154: $i] :
( ( ( c_List_Olist_OCons @ SV154 @ ( c_List_Oappend @ SV580 @ SV962 @ SV1220 ) @ SV1220 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV154 @ SV580 @ SV1220 ) @ SV962 @ SV1220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2408]) ).
thf(2747,plain,
! [SV963: $i,SV581: $i,SV155: $i] :
( ( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV155 @ SV581 @ SV963 ) @ SV963 )
= ( c_List_Olast @ SV581 @ SV963 ) )
= $true )
| ( ( SV581
= ( c_List_Olist_ONil @ SV963 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2409]) ).
thf(2748,plain,
! [SV1221: $i,SV964: $i,SV582: $i,SV156: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV156 @ SV582 @ SV964 @ c_Message_Oagent_OServer @ SV1221 )
= SV156 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2410]) ).
thf(2749,plain,
! [SV1222: $i,SV965: $i,SV583: $i,SV157: $i] :
( ( ( c_List_Odistinct @ ( c_List_Omap @ SV157 @ SV583 @ SV965 @ SV1222 ) @ SV1222 )
| ~ ( c_Fun_Oinj__on @ SV157 @ ( c_List_Oset @ SV583 @ SV965 ) @ SV965 @ SV1222 )
| ~ ( c_List_Odistinct @ SV583 @ SV965 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2411]) ).
thf(2750,plain,
! [SV967: $i,SV585: $i,SV159: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV159 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ SV585 @ SV159 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV967 @ SV585 @ SV159 ) @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2413]) ).
thf(2751,plain,
! [SV968: $i,SV586: $i,SV160: $i] :
( ( ( c_List_Odistinct @ ( c_List_Odrop @ SV160 @ SV586 @ SV968 ) @ SV968 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV586 @ SV968 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2414]) ).
thf(2752,plain,
! [SV1223: $i,SV969: $i,SV587: $i,SV161: $i] :
( ( ( c_List_Olist__all @ SV161 @ SV587 @ SV969 )
| ~ ( c_List_Olist__all @ SV161 @ ( c_List_Olist_OCons @ SV1223 @ SV587 @ SV969 ) @ SV969 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2415]) ).
thf(2753,plain,
! [SV588: $i,SV162: $i] :
( ( ( c_List_Odistinct @ SV162 @ SV588 )
= $false )
| ( ( ( c_List_Oremdups @ SV162 @ SV588 )
= SV162 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2416]) ).
thf(2754,plain,
! [SV1224: $i,SV970: $i,SV589: $i,SV163: $i] :
( ( ( hBOOL @ ( hAPP @ SV163 @ SV589 ) )
| ~ ( c_List_Olist__all @ SV163 @ ( c_List_Olist_OCons @ SV589 @ SV970 @ SV1224 ) @ SV1224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2417]) ).
thf(2755,plain,
! [SV971: $i,SV590: $i,SV164: $i] :
( ( ( ( c_List_Ohd @ ( c_List_Oappend @ SV164 @ SV590 @ SV971 ) @ SV971 )
= ( c_List_Ohd @ SV164 @ SV971 ) )
= $true )
| ( ( SV164
= ( c_List_Olist_ONil @ SV971 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2418]) ).
thf(2756,plain,
! [SV1225: $i,SV973: $i,SV592: $i,SV166: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ SV166 @ SV592 @ SV973 @ SV1225 ) @ ( tc_List_Olist @ SV1225 ) )
= ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV1225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2420]) ).
thf(2757,plain,
! [SV1226: $i,SV975: $i,SV594: $i,SV168: $i] :
( ( ! [SY3580: $i,SY3581: $i] :
( ( c_List_Omap @ SV168 @ ( c_List_Olist__update @ SV594 @ SV975 @ SV1226 @ SY3580 ) @ SY3580 @ SY3581 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV168 @ SV594 @ SY3580 @ SY3581 ) @ SV975 @ ( hAPP @ SV168 @ SV1226 ) @ SY3581 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2422]) ).
thf(2758,plain,
! [SV1227: $i,SV976: $i,SV595: $i,SV169: $i] :
( ( ! [SY3582: $i] :
( ( c_Message_Oagent_Oagent__case @ SV169 @ SV595 @ SV976 @ ( c_Message_Oagent_OFriend @ SV1227 ) @ SY3582 )
= ( hAPP @ SV595 @ SV1227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2423]) ).
thf(2759,plain,
! [SV1228: $i,SV977: $i,SV596: $i,SV170: $i] :
( ( ( c_List_Olist__all @ SV170 @ ( c_List_Oappend @ SV596 @ SV977 @ SV1228 ) @ SV1228 )
| ~ ( c_List_Olist__all @ SV170 @ SV977 @ SV1228 )
| ~ ( c_List_Olist__all @ SV170 @ SV596 @ SV1228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2424]) ).
thf(2760,plain,
! [SV597: $i,SV171: $i] :
( ( ( class_Orderings_Olinorder @ SV171 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV597 @ ( c_List_Olist_ONil @ SV171 ) @ SV171 ) @ SV171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2425]) ).
thf(2761,plain,
! [SV978: $i,SV598: $i,SV172: $i] :
( ( ( c_List_Odistinct @ ( c_List_Otake @ SV172 @ SV598 @ SV978 ) @ SV978 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV598 @ SV978 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2426]) ).
thf(2762,plain,
! [SV1229: $i,SV980: $i,SV600: $i,SV174: $i] :
( ( ! [SY3583: $i,SY3584: $i] :
( ( c_List_Ofoldl @ SV174 @ SV600 @ ( c_List_Oappend @ SV980 @ SV1229 @ SY3583 ) @ SY3584 @ SY3583 )
= ( c_List_Ofoldl @ SV174 @ ( c_List_Ofoldl @ SV174 @ SV600 @ SV980 @ SY3584 @ SY3583 ) @ SV1229 @ SY3584 @ SY3583 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2428]) ).
thf(2763,plain,
! [SV981: $i,SV601: $i,SV175: $i] :
( ( ( c_List_Odistinct @ SV175 @ SV601 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV981 @ SV175 @ SV601 ) @ SV601 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2429]) ).
thf(2764,plain,
! [SV1230: $i,SV982: $i,SV602: $i,SV176: $i] :
( ( ( c_List_Ofilter @ SV176 @ ( c_List_Oappend @ SV602 @ SV982 @ SV1230 ) @ SV1230 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV176 @ SV602 @ SV1230 ) @ ( c_List_Ofilter @ SV176 @ SV982 @ SV1230 ) @ SV1230 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2430]) ).
thf(2765,plain,
! [SV604: $i,SV179: $i] :
( ( ( c_List_Onull @ SV179 @ SV604 )
= $false )
| ( ( SV179
= ( c_List_Olist_ONil @ SV604 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2432]) ).
thf(2766,plain,
! [SV1231: $i,SV984: $i,SV605: $i,SV181: $i] :
( ( ( SV181
= ( c_List_Olist_ONil @ SV605 ) )
| ~ ( c_List_Olist__all2 @ SV984 @ SV181 @ ( c_List_Olist_ONil @ SV1231 ) @ SV605 @ SV1231 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2433]) ).
thf(2767,plain,
! [SV1232: $i,SV985: $i,SV606: $i,SV182: $i] :
( ( ( SV182
= ( c_List_Olist_ONil @ SV606 ) )
| ~ ( c_List_Olist__all2 @ SV985 @ ( c_List_Olist_ONil @ SV1232 ) @ SV182 @ SV1232 @ SV606 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2768,plain,
! [SV1233: $i,SV986: $i,SV607: $i,SV184: $i] :
( ( ( ( c_List_Ofilter @ SV184 @ ( c_List_Olist_OCons @ SV607 @ SV986 @ SV1233 ) @ SV1233 )
= ( c_List_Olist_OCons @ SV607 @ ( c_List_Ofilter @ SV184 @ SV986 @ SV1233 ) @ SV1233 ) )
| ~ ( hBOOL @ ( hAPP @ SV184 @ SV607 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2435]) ).
thf(2769,plain,
! [SV1234: $i,SV987: $i,SV608: $i,SV185: $i] :
( ( ( c_List_Olistsp @ SV185 @ SV608 @ SV987 )
| ~ ( c_List_Olistsp @ SV185 @ ( c_List_Oappend @ SV608 @ SV1234 @ SV987 ) @ SV987 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2436]) ).
thf(2770,plain,
! [SV1235: $i,SV988: $i,SV609: $i,SV186: $i] :
( ( ( c_List_Olistsp @ SV186 @ SV609 @ SV988 )
| ~ ( c_List_Olistsp @ SV186 @ ( c_List_Oappend @ SV1235 @ SV609 @ SV988 ) @ SV988 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2437]) ).
thf(2771,plain,
! [SV989: $i,SV610: $i,SV187: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV187 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SV610 @ SV989 @ SV187 ) @ SV187 )
| ~ ( c_List_Olinorder__class_Osorted @ SV989 @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2438]) ).
thf(2772,plain,
! [SV1236: $i,SV990: $i,SV611: $i,SV188: $i] :
( ( ! [SY3585: $i,SY3586: $i,SY3587: $i] :
( ( c_List_Olist__all2 @ SV188 @ SV611 @ SV990 @ SV1236 @ SY3585 )
| ~ ( c_List_Olist__all2 @ SV188 @ ( c_List_Olist_OCons @ SY3586 @ SV611 @ SV1236 ) @ ( c_List_Olist_OCons @ SY3587 @ SV990 @ SY3585 ) @ SV1236 @ SY3585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2439]) ).
thf(2773,plain,
! [SV1237: $i,SV991: $i,SV612: $i,SV189: $i] :
( ( ! [SY3588: $i] :
( ( c_List_Orotate @ SV189 @ ( c_List_Omap @ SV612 @ SV991 @ SV1237 @ SY3588 ) @ SY3588 )
= ( c_List_Omap @ SV612 @ ( c_List_Orotate @ SV189 @ SV991 @ SV1237 ) @ SV1237 @ SY3588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2440]) ).
thf(2774,plain,
! [SV992: $i,SV613: $i,SV190: $i] :
( ( ( c_List_Odistinct @ SV190 @ SV613 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV190 @ SV992 @ SV613 ) @ SV613 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2441]) ).
thf(2775,plain,
! [SV993: $i,SV614: $i,SV191: $i] :
( ( ( c_List_Odistinct @ SV191 @ SV614 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV993 @ SV191 @ SV614 ) @ SV614 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2442]) ).
thf(2776,plain,
! [SV1238: $i,SV995: $i,SV616: $i,SV193: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ SV193 @ SV616 @ SV995 @ SV1238 ) @ ( tc_List_Olist @ SV1238 ) )
= ( c_Nat_Osize__class_Osize @ SV616 @ ( tc_List_Olist @ SV995 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2444]) ).
thf(2777,plain,
! [SV996: $i,SV617: $i,SV194: $i] :
( ( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV194 @ SV617 @ SV996 ) @ SV996 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV617 @ SV996 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2445]) ).
thf(2778,plain,
! [SV1239: $i,SV997: $i,SV618: $i,SV195: $i] :
( ( ! [SY3589: $i] :
( ( c_List_Omap @ SV195 @ ( c_List_Oreplicate @ SV618 @ SV997 @ SV1239 ) @ SV1239 @ SY3589 )
= ( c_List_Oreplicate @ SV618 @ ( hAPP @ SV195 @ SV997 ) @ SY3589 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2446]) ).
thf(2779,plain,
! [SV1240: $i,SV998: $i,SV619: $i,SV196: $i] :
( ( ! [SY3590: $i,SY3591: $i] :
( ( c_List_Ofoldr @ SV196 @ ( c_List_Oappend @ SV619 @ SV998 @ SV1240 ) @ SY3590 @ SV1240 @ SY3591 )
= ( c_List_Ofoldr @ SV196 @ SV619 @ ( c_List_Ofoldr @ SV196 @ SV998 @ SY3590 @ SV1240 @ SY3591 ) @ SV1240 @ SY3591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2447]) ).
thf(2780,plain,
! [SV1241: $i,SV999: $i,SV620: $i,SV197: $i] :
( ( ( c_List_Olist__ex @ SV197 @ ( c_List_Olist_OCons @ SV620 @ SV999 @ SV1241 ) @ SV1241 )
| ~ ( hBOOL @ ( hAPP @ SV197 @ SV620 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2448]) ).
thf(2781,plain,
! [SV1242: $i,SV1000: $i,SV621: $i,SV198: $i] :
( ( ! [SY3592: $i,SY3593: $i,SY3594: $i] :
( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SV621 @ SV1000 @ SV1242 ) @ ( c_List_Olist_OCons @ SY3592 @ SY3593 @ SY3594 ) @ SV1242 @ SY3594 )
| ~ ( c_List_Olist__all2 @ SV198 @ SV1000 @ SY3593 @ SV1242 @ SY3594 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SV621 ) @ SY3592 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2449]) ).
thf(2782,plain,
! [SV1243: $i,SV1001: $i,SV622: $i,SV199: $i] :
( ( ! [SY3595: $i,SY3596: $i,SY3597: $i] :
( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SV622 @ SV1001 @ SV1243 ) @ ( c_List_Olist_OCons @ SY3595 @ SY3596 @ SY3597 ) @ SV1243 @ SY3597 )
| ~ ( c_List_Olist__all2 @ SV199 @ SV1001 @ SY3596 @ SV1243 @ SY3597 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SV622 ) @ SY3595 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2450]) ).
thf(2783,plain,
! [SV1244: $i,SV1002: $i,SV623: $i,SV200: $i] :
( ( ! [SY3598: $i,SY3599: $i,SY3600: $i] :
( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SV623 @ SV1002 @ SV1244 ) @ ( c_List_Olist_OCons @ SY3598 @ SY3599 @ SY3600 ) @ SV1244 @ SY3600 )
| ~ ( c_List_Olist__all2 @ SV200 @ SV1002 @ SY3599 @ SV1244 @ SY3600 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SV623 ) @ SY3598 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2451]) ).
thf(2784,plain,
! [SV1245: $i,SV1003: $i,SV624: $i,SV201: $i] :
( ( ( c_List_Olist__ex @ SV201 @ ( c_List_Olist_OCons @ SV624 @ SV1003 @ SV1245 ) @ SV1245 )
| ~ ( c_List_Olist__ex @ SV201 @ SV1003 @ SV1245 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2452]) ).
thf(2785,plain,
! [SV1246: $i,SV1004: $i,SV625: $i,SV202: $i] :
( ( ( c_List_Olist__ex @ SV202 @ SV625 @ SV1004 )
| ( hBOOL @ ( hAPP @ SV202 @ SV1246 ) )
| ~ ( c_List_Olist__ex @ SV202 @ ( c_List_Olist_OCons @ SV1246 @ SV625 @ SV1004 ) @ SV1004 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2453]) ).
thf(2786,plain,
! [SV1247: $i,SV1005: $i,SV626: $i,SV203: $i] :
( ( ! [SY3601: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV203 @ ( tc_List_Olist @ SV626 ) )
= ( c_Nat_Osize__class_Osize @ SV1005 @ ( tc_List_Olist @ SV1247 ) ) )
| ~ ( c_List_Olist__all2 @ SY3601 @ SV203 @ SV1005 @ SV626 @ SV1247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2454]) ).
thf(2787,plain,
! [SV1248: $i,SV1006: $i,SV627: $i,SV204: $i] :
( ( ( ( c_List_Ofilter @ SV204 @ ( c_List_Oreplicate @ SV627 @ SV1006 @ SV1248 ) @ SV1248 )
= ( c_List_Oreplicate @ SV627 @ SV1006 @ SV1248 ) )
| ~ ( hBOOL @ ( hAPP @ SV204 @ SV1006 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2455]) ).
thf(2788,plain,
! [SV1249: $i,SV1007: $i,SV628: $i,SV205: $i] :
( ( ! [SY3602: $i,SY3603: $i] :
( ( c_List_Olistrelp @ SV205 @ ( c_List_Olist_OCons @ SV628 @ SV1007 @ SV1249 ) @ ( c_List_Olist_OCons @ SY3602 @ SY3603 @ SV1249 ) @ SV1249 )
| ~ ( c_List_Olistrelp @ SV205 @ SV1007 @ SY3603 @ SV1249 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV205 @ SV628 ) @ SY3602 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2456]) ).
thf(2789,plain,
! [SV1250: $i,SV1008: $i,SV629: $i,SV206: $i] :
( ( ( ( c_List_Oremove1 @ SV206 @ ( c_List_Olist_OCons @ SV629 @ SV1008 @ SV1250 ) @ SV1250 )
= ( c_List_Olist_OCons @ SV629 @ ( c_List_Oremove1 @ SV206 @ SV1008 @ SV1250 ) @ SV1250 ) )
| ( SV206 = SV629 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2457]) ).
thf(2790,plain,
! [SV1009: $i,SV630: $i,SV207: $i] :
( ( ( c_List_Odistinct @ ( c_List_Osublist @ SV207 @ SV630 @ SV1009 ) @ SV1009 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV207 @ SV1009 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2458]) ).
thf(2791,plain,
! [SV1010: $i,SV631: $i,SV208: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV208 @ SV631 @ SV1010 ) @ SV1010 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV631 @ SV1010 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2459]) ).
thf(2792,plain,
! [SV1251: $i,SV1011: $i,SV632: $i,SV209: $i] :
( ( ( ( c_List_OdropWhile @ SV209 @ ( c_List_Olist_OCons @ SV632 @ SV1011 @ SV1251 ) @ SV1251 )
= ( c_List_OdropWhile @ SV209 @ SV1011 @ SV1251 ) )
| ~ ( hBOOL @ ( hAPP @ SV209 @ SV632 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2460]) ).
thf(2793,plain,
! [SV1013: $i,SV635: $i,SV212: $i] :
( ( ( ( c_List_Olast @ ( c_List_Oappend @ SV212 @ SV635 @ SV1013 ) @ SV1013 )
= ( c_List_Olast @ SV635 @ SV1013 ) )
= $true )
| ( ( SV635
= ( c_List_Olist_ONil @ SV1013 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2462]) ).
thf(2794,plain,
! [SV1252: $i,SV1014: $i,SV636: $i,SV213: $i] :
( ( ( ( c_List_OdropWhile @ SV213 @ ( c_List_Olist_OCons @ SV636 @ SV1014 @ SV1252 ) @ SV1252 )
= ( c_List_Olist_OCons @ SV636 @ SV1014 @ SV1252 ) )
| ( hBOOL @ ( hAPP @ SV213 @ SV636 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2463]) ).
thf(2795,plain,
! [SV1253: $i,SV1015: $i,SV637: $i,SV214: $i] :
( ( ! [SY3604: $i] :
( ( c_List_Omap @ SV214 @ ( c_List_Oappend @ SV637 @ SV1015 @ SV1253 ) @ SV1253 @ SY3604 )
= ( c_List_Oappend @ ( c_List_Omap @ SV214 @ SV637 @ SV1253 @ SY3604 ) @ ( c_List_Omap @ SV214 @ SV1015 @ SV1253 @ SY3604 ) @ SY3604 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2464]) ).
thf(2796,plain,
! [SV1254: $i,SV1016: $i,SV638: $i,SV215: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV215 @ ( c_Message_Oagent_Oagent__case @ SV638 @ SV1016 @ SV1254 @ c_Message_Oagent_OServer @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV215 @ SV638 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2465]) ).
thf(2797,plain,
! [SV1255: $i,SV1017: $i,SV639: $i,SV216: $i] :
( ( ( c_List_Oappend @ ( c_List_Oreplicate @ SV216 @ SV639 @ SV1017 ) @ ( c_List_Oreplicate @ SV1255 @ SV639 @ SV1017 ) @ SV1017 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SV1255 @ SV639 @ SV1017 ) @ ( c_List_Oreplicate @ SV216 @ SV639 @ SV1017 ) @ SV1017 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2466]) ).
thf(2798,plain,
! [SV1256: $i,SV1018: $i,SV640: $i,SV217: $i] :
( ( ! [SY3605: $i,SY3606: $i] :
( ( c_List_Olist__all2 @ SV217 @ ( c_List_Odrop @ SV640 @ SV1018 @ SV1256 ) @ ( c_List_Odrop @ SV640 @ SY3605 @ SY3606 ) @ SV1256 @ SY3606 )
| ~ ( c_List_Olist__all2 @ SV217 @ SV1018 @ SY3605 @ SV1256 @ SY3606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2467]) ).
thf(2799,plain,
! [SV1257: $i,SV1019: $i,SV642: $i,SV219: $i] :
( ( ( ( c_List_Oremove1 @ SV219 @ ( c_List_Ofilter @ SV642 @ SV1019 @ SV1257 ) @ SV1257 )
= ( c_List_Ofilter @ SV642 @ SV1019 @ SV1257 ) )
| ( hBOOL @ ( hAPP @ SV642 @ SV219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2468]) ).
thf(2800,plain,
! [SV1258: $i,SV1020: $i,SV643: $i,SV220: $i] :
( ( ( ( c_List_Ofilter @ SV220 @ ( c_List_Oreplicate @ SV643 @ SV1020 @ SV1258 ) @ SV1258 )
= ( c_List_Olist_ONil @ SV1258 ) )
| ( hBOOL @ ( hAPP @ SV220 @ SV1020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2469]) ).
thf(2801,plain,
! [SV1259: $i,SV1021: $i,SV644: $i,SV221: $i] :
( ( ! [SY3607: $i,SY3608: $i] :
( ( c_List_Olist_Olist__rec @ SV221 @ SV644 @ ( c_List_Olist_OCons @ SV1021 @ SV1259 @ SY3607 ) @ SY3608 @ SY3607 )
= ( hAPP @ ( hAPP @ ( hAPP @ SV644 @ SV1021 ) @ SV1259 ) @ ( c_List_Olist_Olist__rec @ SV221 @ SV644 @ SV1259 @ SY3608 @ SY3607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2470]) ).
thf(2802,plain,
! [SV1260: $i,SV1023: $i,SV646: $i,SV223: $i] :
( ( ( c_List_Odistinct @ SV223 @ SV646 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SV1023 @ SV223 @ SV646 @ SV1260 ) @ SV1260 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2472]) ).
thf(2803,plain,
! [SV1024: $i,SV649: $i,SV226: $i] :
( ( ( c_List_Odistinct @ SV226 @ SV649 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Orotate @ SV1024 @ SV226 @ SV649 ) @ SV649 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2473]) ).
thf(2804,plain,
! [SV1025: $i,SV650: $i,SV227: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate @ SV227 @ SV650 @ SV1025 ) @ SV1025 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV650 @ SV1025 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2474]) ).
thf(2805,plain,
! [SV1261: $i,SV1026: $i,SV651: $i,SV228: $i] :
( ( ( c_List_Olistsp @ SV228 @ ( c_List_Oappend @ SV651 @ SV1026 @ SV1261 ) @ SV1261 )
| ~ ( c_List_Olistsp @ SV228 @ SV1026 @ SV1261 )
| ~ ( c_List_Olistsp @ SV228 @ SV651 @ SV1261 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2475]) ).
thf(2806,plain,
! [SV1262: $i,SV1028: $i,SV653: $i,SV230: $i] :
( ( ! [SY3609: $i] :
( ~ ( hBOOL @ ( hAPP @ SV230 @ ( c_Message_Oagent_Oagent__case @ SV653 @ SV1028 @ SV1262 @ ( c_Message_Oagent_OFriend @ SY3609 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV230 @ ( hAPP @ SV1028 @ SY3609 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2477]) ).
thf(2807,plain,
! [SV1263: $i,SV1029: $i,SV654: $i,SV231: $i] :
( ( ! [SY3610: $i] :
( ~ ( hBOOL @ ( hAPP @ SV231 @ ( c_Message_Oagent_Oagent__case @ SV654 @ SV1029 @ SV1263 @ ( c_Message_Oagent_OFriend @ SY3610 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV231 @ ( hAPP @ SV1029 @ SY3610 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2478]) ).
thf(2808,plain,
! [SV1030: $i,SV655: $i,SV232: $i] :
( ( c_List_Onull @ ( c_List_Olist_OCons @ SV232 @ SV655 @ SV1030 ) @ SV1030 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2479]) ).
thf(2809,plain,
! [SV1264: $i,SV1031: $i,SV656: $i,SV233: $i] :
( ( ! [SY3611: $i,SY3612: $i] :
( ( c_List_Ofoldr @ SV233 @ ( c_List_Olist_OCons @ SV656 @ SV1031 @ SV1264 ) @ SY3611 @ SV1264 @ SY3612 )
= ( hAPP @ ( hAPP @ SV233 @ SV656 ) @ ( c_List_Ofoldr @ SV233 @ SV1031 @ SY3611 @ SV1264 @ SY3612 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2480]) ).
thf(2810,plain,
! [SV1265: $i,SV1033: $i,SV658: $i,SV235: $i] :
( ( ! [SY3613: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV235 @ SV658 @ SV1033 @ ( c_Message_Oagent_OFriend @ SV1265 ) @ SY3613 )
= ( hAPP @ SV658 @ SV1265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2482]) ).
thf(2811,plain,
! [SV1266: $i,SV1034: $i,SV659: $i,SV236: $i] :
( ( ! [SY3614: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ SV236 @ ( c_List_Olist_OCons @ SV659 @ SV1034 @ SV1266 ) @ SV1266 ) @ ( c_Nat_Osize__class_Osize @ SV236 @ ( tc_List_Olist @ SV1266 ) ) @ SY3614 @ SV1266 )
= ( c_List_Oappend @ SV236 @ ( c_List_Olist_OCons @ SY3614 @ SV1034 @ SV1266 ) @ SV1266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2483]) ).
thf(2812,plain,
! [SV1036: $i,SV662: $i,SV239: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV239 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ SV662 @ SV239 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV662 @ SV1036 @ SV239 ) @ SV239 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2485]) ).
thf(2813,plain,
! [SV1037: $i,SV663: $i,SV240: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV240 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ SV663 @ SV240 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1037 @ SV663 @ SV240 ) @ SV240 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2486]) ).
thf(2814,plain,
! [SV1267: $i,SV1038: $i,SV664: $i,SV241: $i] :
( ( ( c_List_Olist__all @ SV241 @ ( c_List_Olist_OCons @ SV664 @ SV1038 @ SV1267 ) @ SV1267 )
| ~ ( c_List_Olist__all @ SV241 @ SV1038 @ SV1267 )
| ~ ( hBOOL @ ( hAPP @ SV241 @ SV664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2487]) ).
thf(2815,plain,
! [SV1268: $i,SV1039: $i,SV665: $i,SV242: $i] :
( ( ! [SY3615: $i,SY3616: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SV665 @ SV1039 @ SV1268 ) @ SY3615 @ SY3616 @ SV1268 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SY3615 @ SY3616 @ SV1268 ) @ SV665 @ SV1039 @ SV1268 ) )
| ( SV665 = SY3615 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2488]) ).
thf(2816,plain,
! [SV666: $i,SV243: $i] :
( ( ( class_Orderings_Olinorder @ SV243 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV666 @ SV243 ) @ SV243 )
| ~ ( c_List_Olinorder__class_Osorted @ SV666 @ SV243 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2489]) ).
thf(2817,plain,
! [SV1269: $i,SV1040: $i,SV667: $i,SV244: $i] :
( ( ( c_List_Oappend @ ( c_List_Oreplicate @ SV244 @ SV667 @ SV1040 ) @ ( c_List_Olist_OCons @ SV667 @ SV1269 @ SV1040 ) @ SV1040 )
= ( c_List_Olist_OCons @ SV667 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV244 @ SV667 @ SV1040 ) @ SV1269 @ SV1040 ) @ SV1040 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2490]) ).
thf(2818,plain,
! [SV1270: $i,SV1041: $i,SV668: $i,SV245: $i] :
( ( ! [SY3617: $i] :
( ( c_List_Odrop @ SV245 @ ( c_List_Omap @ SV668 @ SV1041 @ SV1270 @ SY3617 ) @ SY3617 )
= ( c_List_Omap @ SV668 @ ( c_List_Odrop @ SV245 @ SV1041 @ SV1270 ) @ SV1270 @ SY3617 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2491]) ).
thf(2819,plain,
! [SV1271: $i,SV1042: $i,SV670: $i,SV247: $i] :
( ( ( c_Message_Oagent_Oagent__rec @ SV247 @ SV670 @ SV1042 @ c_Message_Oagent_OServer @ SV1271 )
= SV247 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2492]) ).
thf(2820,plain,
! [SV1272: $i,SV1043: $i,SV671: $i,SV248: $i] :
( ( ( ( c_List_Ofilter @ SV248 @ ( c_List_Olist_OCons @ SV671 @ SV1043 @ SV1272 ) @ SV1272 )
= ( c_List_Ofilter @ SV248 @ SV1043 @ SV1272 ) )
| ( hBOOL @ ( hAPP @ SV248 @ SV671 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2493]) ).
thf(2821,plain,
! [SV1273: $i,SV1045: $i,SV674: $i,SV251: $i] :
( ( ( c_List_Olist__all @ SV251 @ SV674 @ SV1045 )
| ~ ( c_List_Olist__all @ SV251 @ ( c_List_Oappend @ SV674 @ SV1273 @ SV1045 ) @ SV1045 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2495]) ).
thf(2822,plain,
! [SV1274: $i,SV1046: $i,SV675: $i,SV252: $i] :
( ( ( c_List_Olist__all @ SV252 @ SV675 @ SV1046 )
| ~ ( c_List_Olist__all @ SV252 @ ( c_List_Oappend @ SV1274 @ SV675 @ SV1046 ) @ SV1046 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2496]) ).
thf(2823,plain,
! [SV1275: $i,SV1048: $i,SV677: $i,SV254: $i] :
( ( ! [SY3618: $i] :
( ~ ( hBOOL @ ( hAPP @ SV254 @ ( c_List_Olist_Olist__case @ SV677 @ SV1048 @ ( c_List_Olist_OCons @ SV1275 @ SY3618 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV254 @ ( hAPP @ ( hAPP @ SV1048 @ SV1275 ) @ SY3618 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2498]) ).
thf(2824,plain,
! [SV1276: $i,SV1049: $i,SV678: $i,SV255: $i] :
( ( ! [SY3619: $i] :
( ~ ( hBOOL @ ( hAPP @ SV255 @ ( c_List_Olist_Olist__case @ SV678 @ SV1049 @ ( c_List_Olist_OCons @ SV1276 @ SY3619 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV255 @ ( hAPP @ ( hAPP @ SV1049 @ SV1276 ) @ SY3619 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2499]) ).
thf(2825,plain,
! [SV1050: $i,SV679: $i,SV256: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV256 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV679 @ SV1050 @ SV256 ) @ SV256 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1050 @ SV256 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2500]) ).
thf(2826,plain,
! [SV1277: $i,SV1051: $i,SV680: $i,SV257: $i] :
( ( ! [SY3620: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV257 @ SV680 @ SV1051 @ SV1277 ) @ SV680 @ SY3620 @ SV1277 )
= ( c_List_Olist__update @ SV257 @ SV680 @ SY3620 @ SV1277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2501]) ).
thf(2827,plain,
! [SV1278: $i,SV1052: $i,SV681: $i,SV258: $i] :
( ( ( c_List_Oappend @ ( c_List_Oappend @ SV258 @ SV681 @ SV1052 ) @ SV1278 @ SV1052 )
= ( c_List_Oappend @ SV258 @ ( c_List_Oappend @ SV681 @ SV1278 @ SV1052 ) @ SV1052 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2502]) ).
thf(2828,plain,
! [SV1279: $i,SV1053: $i,SV682: $i,SV259: $i] :
( ( ( c_List_Oappend @ SV259 @ ( c_List_Oappend @ SV682 @ SV1053 @ SV1279 ) @ SV1279 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV259 @ SV682 @ SV1279 ) @ SV1053 @ SV1279 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2503]) ).
thf(2829,plain,
! [SV1280: $i,SV1054: $i,SV683: $i,SV260: $i] :
( ( ( c_List_Oappend @ ( c_List_Oappend @ SV260 @ SV683 @ SV1054 ) @ SV1280 @ SV1054 )
= ( c_List_Oappend @ SV260 @ ( c_List_Oappend @ SV683 @ SV1280 @ SV1054 ) @ SV1054 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2504]) ).
thf(2830,plain,
! [SV1281: $i,SV1055: $i,SV684: $i,SV261: $i] :
( ( ( c_List_Oappend @ SV261 @ ( c_List_Oappend @ SV684 @ SV1055 @ SV1281 ) @ SV1281 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV261 @ SV684 @ SV1281 ) @ SV1055 @ SV1281 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2505]) ).
thf(2831,plain,
! [SV1056: $i,SV686: $i,SV263: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV263 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV686 @ SV1056 @ SV263 ) @ SV263 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1056 @ SV263 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2506]) ).
thf(2832,plain,
! [SV1282: $i,SV1057: $i,SV687: $i,SV264: $i] :
( ( ( c_List_Ofoldl @ SV264 @ SV687 @ ( c_List_Olist_ONil @ SV1057 ) @ SV1282 @ SV1057 )
= SV687 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2507]) ).
thf(2833,plain,
! [SV688: $i,SV265: $i] :
( ( ( hBOOL @ ( hAPP @ SV265 @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV265 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV265 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV265 @ SV688 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2508]) ).
thf(2834,plain,
! [SV690: $i,SV268: $i] :
( ( ( hBOOL @ ( hAPP @ SV268 @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV268 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV268 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV268 @ SV690 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2509]) ).
thf(2835,plain,
! [SV698: $i,SV276: $i] :
( ( ( hBOOL @ ( hAPP @ SV276 @ ( v_sko__List__Xlast__Xinduct__2 @ SV276 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV276 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV276 @ SV698 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2510]) ).
thf(2836,plain,
! [SV700: $i,SV278: $i] :
( ( ( hBOOL @ ( hAPP @ SV278 @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV278 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV278 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV278 @ SV700 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2511]) ).
thf(2837,plain,
! [SV702: $i,SV280: $i] :
( ( ( hBOOL @ ( hAPP @ SV280 @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV280 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV280 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV280 @ SV702 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2512]) ).
thf(2838,plain,
! [SV703: $i,SV281: $i] :
( ( ( hBOOL @ ( hAPP @ SV281 @ ( v_sko__List__Xfoldl__Xinduct__2 @ SV281 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV281 @ SV703 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2513]) ).
thf(2839,plain,
! [SV1058: $i,SV706: $i,SV286: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV286 @ ( c_List_Olist_Olist__case @ SV706 @ SV1058 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV286 @ SV706 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2515]) ).
thf(2840,plain,
! [SV1283: $i,SV1059: $i,SV707: $i,SV287: $i] :
( ( ( c_List_Ofoldr @ SV287 @ ( c_List_Olist_ONil @ SV707 ) @ SV1059 @ SV707 @ SV1283 )
= SV1059 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2516]) ).
thf(2841,plain,
! [SV708: $i,SV288: $i] :
( ( ( hBOOL @ ( hAPP @ SV288 @ ( v_sko__List__Xzip__Xinduct__2 @ SV288 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV288 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV288 @ SV708 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2517]) ).
thf(2842,plain,
! [SV711: $i,SV291: $i] :
( ( ( hBOOL @ ( hAPP @ SV291 @ ( v_sko__List__Xlistset__Xinduct__2 @ SV291 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV291 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV291 @ SV711 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2519]) ).
thf(2843,plain,
! [SV1284: $i,SV1061: $i,SV712: $i,SV292: $i] :
( ( ( c_List_Olist_Olist__rec @ SV292 @ SV712 @ ( c_List_Olist_ONil @ SV1061 ) @ SV1284 @ SV1061 )
= SV292 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2520]) ).
thf(2844,plain,
! [SV713: $i,SV293: $i] :
( ( ( hBOOL @ ( hAPP @ SV293 @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV293 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV293 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV293 @ SV713 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2521]) ).
thf(2845,plain,
! [SV714: $i,SV294: $i] :
( ( ( hBOOL @ ( hAPP @ SV294 @ ( v_sko__List__Xtake__Xinduct__2 @ SV294 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV294 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV294 @ SV714 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2522]) ).
thf(2846,plain,
! [SV720: $i,SV301: $i] :
( ( ( hBOOL @ ( hAPP @ SV301 @ ( v_sko__List__Xconcat__Xinduct__2 @ SV301 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV301 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV301 @ SV720 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2528]) ).
thf(2847,plain,
! [SV722: $i,SV303: $i] :
( ( ( hBOOL @ ( hAPP @ SV303 @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV303 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV303 @ SV722 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2529]) ).
thf(2848,plain,
! [SV1285: $i,SV1066: $i,SV723: $i,SV304: $i] :
( ( ( c_Map_Omap__upds @ SV304 @ SV723 @ ( c_List_Olist_ONil @ SV1066 ) @ SV1285 @ SV1066 )
= SV304 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2530]) ).
thf(2849,plain,
! [SV1286: $i,SV1067: $i,SV724: $i,SV305: $i] :
( ( ( c_Map_Omap__upds @ SV305 @ ( c_List_Olist_ONil @ SV724 ) @ SV1067 @ SV724 @ SV1286 )
= SV305 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2531]) ).
thf(2850,plain,
! [SV725: $i,SV306: $i] :
( ( ( hBOOL @ ( hAPP @ SV306 @ ( v_sko__List__Xremove1__Xinduct__2 @ SV306 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV306 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV306 @ SV725 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2532]) ).
thf(2851,plain,
! [SV1287: $i,SV1068: $i,SV726: $i,SV307: $i] :
( ( ( c_List_Olist_Olist__case @ SV307 @ SV726 @ ( c_List_Olist_ONil @ SV1068 ) @ SV1287 @ SV1068 )
= SV307 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2533]) ).
thf(2852,plain,
! [SV728: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ SV309 @ ( v_sko__List__Xlist__Xinduct__2 @ SV309 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV309 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV309 @ SV728 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2534]) ).
thf(2853,plain,
! [SV731: $i,SV313: $i] :
( ( ( hBOOL @ ( hAPP @ SV313 @ ( v_sko__List__Xmap__Xinduct__2 @ SV313 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV313 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV313 @ SV731 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2536]) ).
thf(2854,plain,
! [SV1288: $i,SV1072: $i,SV736: $i,SV318: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV318 @ SV736 @ SV1072 @ c_Message_Oagent_OSpy @ SV1288 )
= SV1072 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2541]) ).
thf(2855,plain,
! [SV1289: $i,SV1073: $i,SV737: $i,SV319: $i] :
( ( ( c_Message_Oagent_Oagent__rec @ SV319 @ SV737 @ SV1073 @ c_Message_Oagent_OSpy @ SV1289 )
= SV1073 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2542]) ).
thf(2856,plain,
! [SV1290: $i,SV1074: $i,SV738: $i,SV320: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_Message_Oagent_Oagent__case @ SV738 @ SV1074 @ SV1290 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV320 @ SV1290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2543]) ).
thf(2857,plain,
! [SV1077: $i,SV742: $i,SV324: $i] :
( ( ( c_List_Olist__all @ SV324 @ ( hAPP @ ( c_List_Orev @ SV742 ) @ SV1077 ) @ SV742 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV324 @ SV1077 @ SV742 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2546]) ).
thf(2858,plain,
! [SV1078: $i,SV743: $i,SV325: $i] :
( ( ( c_List_Olist__all @ SV325 @ SV743 @ SV1078 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV325 @ ( hAPP @ ( c_List_Orev @ SV1078 ) @ SV743 ) @ SV1078 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2547]) ).
thf(2859,plain,
! [SV744: $i,SV326: $i] :
( ( ( class_OrderedGroup_Ocomm__monoid__add @ SV326 )
= $false )
| ( ( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ SV326 ) @ SV744 ) @ SV326 )
= ( c_List_Olistsum @ SV744 @ SV326 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2548]) ).
thf(2860,plain,
! [SV1291: $i,SV1080: $i,SV747: $i,SV329: $i] :
( ( ! [SY3621: $i] :
( ( c_List_Olist__all2 @ SV329 @ ( hAPP @ ( c_List_Orev @ SV747 ) @ SV1080 ) @ ( hAPP @ ( c_List_Orev @ SV1291 ) @ SY3621 ) @ SV747 @ SV1291 )
| ~ ( c_List_Olist__all2 @ SV329 @ SV1080 @ SY3621 @ SV747 @ SV1291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2550]) ).
thf(2861,plain,
! [SV1292: $i,SV1081: $i,SV748: $i,SV330: $i] :
( ( ! [SY3622: $i] :
( ( c_List_Olist__all2 @ SV330 @ SV748 @ SV1081 @ SV1292 @ SY3622 )
| ~ ( c_List_Olist__all2 @ SV330 @ ( hAPP @ ( c_List_Orev @ SV1292 ) @ SV748 ) @ ( hAPP @ ( c_List_Orev @ SY3622 ) @ SV1081 ) @ SV1292 @ SY3622 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2551]) ).
thf(2862,plain,
! [SV1293: $i,SV1082: $i,SV749: $i,SV331: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV331 ) @ ( c_List_Omap @ SV749 @ SV1082 @ SV1293 @ SV331 ) )
= ( c_List_Omap @ SV749 @ ( hAPP @ ( c_List_Orev @ SV1293 ) @ SV1082 ) @ SV1293 @ SV331 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2552]) ).
thf(2863,plain,
! [SV333: $i,SV751: $i] :
( ( ( c_List_Odistinct @ SV751 @ SV333 )
= $false )
| ( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV333 ) @ SV751 ) @ SV333 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2553]) ).
thf(2864,plain,
! [SV334: $i,SV752: $i] :
( ( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV752 ) @ SV334 ) @ SV752 )
= $false )
| ( ( c_List_Odistinct @ SV334 @ SV752 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2554]) ).
thf(2865,plain,
! [SV1294: $i,SV1084: $i,SV754: $i,SV336: $i] :
( ( ! [SY3623: $i] :
( ( c_List_Olist__all2 @ SV336 @ ( hAPP @ ( c_List_Orev @ SV754 ) @ SV1084 ) @ SV1294 @ SV754 @ SY3623 )
| ~ ( c_List_Olist__all2 @ SV336 @ SV1084 @ ( hAPP @ ( c_List_Orev @ SY3623 ) @ SV1294 ) @ SV754 @ SY3623 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2556]) ).
thf(2866,plain,
! [SV1295: $i,SV1085: $i,SV755: $i,SV337: $i] :
( ( ! [SY3624: $i] :
( ( c_List_Olist__all2 @ SV337 @ SV755 @ ( hAPP @ ( c_List_Orev @ SV1085 ) @ SV1295 ) @ SY3624 @ SV1085 )
| ~ ( c_List_Olist__all2 @ SV337 @ ( hAPP @ ( c_List_Orev @ SY3624 ) @ SV755 ) @ SV1295 @ SY3624 @ SV1085 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2557]) ).
thf(2867,plain,
! [SV347: $i,SV762: $i] :
( ( ( class_Orderings_Opreorder @ SV762 )
= $false )
| ( ( class_Orderings_Opreorder @ ( tc_fun @ SV347 @ SV762 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2559]) ).
thf(2868,plain,
! [SV348: $i,SV763: $i] :
( ( ( class_Orderings_Oorder @ SV763 )
= $false )
| ( ( class_Orderings_Oorder @ ( tc_fun @ SV348 @ SV763 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2560]) ).
thf(2869,plain,
! [SV349: $i,SV764: $i] :
( ( ( class_HOL_Oord @ SV764 )
= $false )
| ( ( class_HOL_Oord @ ( tc_fun @ SV349 @ SV764 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2870,plain,
! [SV1087: $i,SV766: $i,SV351: $i] :
( ( ( SV351 = SV766 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV1087 ) @ SV351 ) @ SV766 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2562]) ).
thf(2871,plain,
! [SV1296: $i,SV1088: $i,SV767: $i,SV352: $i] :
( ( ( ( c_List_Omap @ SV352 @ SV767 @ SV1088 @ SV1296 )
!= ( c_List_Olist_ONil @ SV1296 ) )
| ( SV767
= ( c_List_Olist_ONil @ SV1088 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2563]) ).
thf(2872,plain,
! [SV1297: $i,SV1089: $i,SV768: $i,SV353: $i] :
( ( ! [SY3625: $i,SY3626: $i,SY3627: $i] :
( ( ( hAPP @ SV353 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) )
!= ( hAPP @ SV1089 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY3625 @ SV353 @ SY3626 @ SV768 @ SV1297 )
= ( c_Message_Oagent_Oagent__case @ SY3625 @ SV1089 @ SY3627 @ SV768 @ SV1297 ) )
| ( SV768 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2564]) ).
thf(2873,plain,
! [SV1298: $i,SV1090: $i,SV769: $i,SV354: $i] :
( ( ! [SY3628: $i,SY3629: $i,SY3630: $i,SY3631: $i] :
( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) )
!= ( hAPP @ SV1090 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) ) )
| ( SV769 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY3628 @ SV354 @ SY3629 @ SV769 @ SV1298 )
= ( c_Message_Oagent_Oagent__case @ SY3630 @ SV1090 @ SY3631 @ SV769 @ SV1298 ) )
| ( SV769 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2565]) ).
thf(2874,plain,
! [SV1299: $i,SV1091: $i,SV770: $i,SV355: $i] :
( ( ! [SY3632: $i,SY3633: $i] :
( ( ( hAPP @ SV355 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SV1299 ) )
!= ( hAPP @ SV1091 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SV1299 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SY3632 @ SV355 @ SY3633 @ SV770 @ SV1299 )
= ( c_Message_Oagent_Oagent__case @ SY3632 @ SV1091 @ SY3633 @ SV770 @ SV1299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2566]) ).
thf(2875,plain,
! [SV1092: $i,SV771: $i,SV356: $i] :
( ( ( ( c_List_Oappend @ SV356 @ SV771 @ SV1092 )
!= SV356 )
= $true )
| ( ( SV771
= ( c_List_Olist_ONil @ SV1092 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2567]) ).
thf(2876,plain,
! [SV772: $i,SV357: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV357 ) @ SV772 )
= ( c_List_Olist_ONil @ SV357 ) )
= $false )
| ( ( SV772
= ( c_List_Olist_ONil @ SV357 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2568]) ).
thf(2877,plain,
! [SV1300: $i,SV1093: $i,SV773: $i,SV358: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SV1093 @ SV773 )
!= SV358 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV773 ) ) @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ tc_nat )
| ( ( c_List_Oappend @ SV1093 @ SV1300 @ SV773 )
= ( c_List_Oappend @ SV358 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SV1093 @ SV773 ) @ SV1300 @ SV773 ) @ SV773 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2569]) ).
thf(2878,plain,
! [SV1094: $i,SV774: $i,SV359: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV359 ) @ SV774 )
!= ( c_List_Olist_OCons @ SV1094 @ ( c_List_Olist_ONil @ SV359 ) @ SV359 ) )
= $true )
| ( ( SV774
= ( c_List_Olist_OCons @ SV1094 @ ( c_List_Olist_ONil @ SV359 ) @ SV359 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2570]) ).
thf(2879,plain,
! [SV1095: $i,SV775: $i,SV360: $i] :
( ( SV360
= ( c_List_Olist_OCons @ SV775 @ SV360 @ SV1095 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2571]) ).
thf(2880,plain,
! [SV1096: $i,SV776: $i,SV361: $i] :
( ( ( ( c_List_Olist_ONil @ SV361 )
!= ( c_List_Oappend @ SV776 @ SV1096 @ SV361 ) )
= $true )
| ( ( SV1096
= ( c_List_Olist_ONil @ SV361 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2572]) ).
thf(2881,plain,
! [SV1301: $i,SV1097: $i,SV777: $i,SV362: $i] :
( ( ! [SY3634: $i] :
( ( ( c_List_Oappend @ SV362 @ SV777 @ SV1097 )
!= ( c_List_Oappend @ SV1301 @ SY3634 @ SV1097 ) )
| ( SV777
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ SV1301 @ SV1097 ) @ SY3634 @ SV1097 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ ( c_Nat_Osize__class_Osize @ SV1301 @ ( tc_List_Olist @ SV1097 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2573]) ).
thf(2882,plain,
! [SV1098: $i,SV778: $i,SV363: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV363 ) @ SV778 )
!= ( hAPP @ ( c_List_Orev @ SV363 ) @ SV1098 ) )
= $true )
| ( ( SV778 = SV1098 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2574]) ).
thf(2883,plain,
! [SV1099: $i,SV779: $i,SV364: $i] :
( ( ( ( c_List_Oappend @ SV364 @ SV779 @ SV1099 )
!= SV779 )
= $true )
| ( ( SV364
= ( c_List_Olist_ONil @ SV1099 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2575]) ).
thf(2884,plain,
! [SV1100: $i,SV780: $i,SV365: $i] :
( ( ( ( c_List_Orotate @ SV365 @ SV780 @ SV1100 )
!= ( c_List_Olist_ONil @ SV1100 ) )
= $true )
| ( ( SV780
= ( c_List_Olist_ONil @ SV1100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2576]) ).
thf(2885,plain,
! [SV781: $i,SV366: $i] :
( ( ( ( c_List_Oremdups @ SV366 @ SV781 )
= SV366 )
= $false )
| ( ( c_List_Odistinct @ SV366 @ SV781 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2577]) ).
thf(2886,plain,
! [SV1101: $i,SV782: $i,SV367: $i] :
( ( ( c_List_Olist_OCons @ SV367 @ SV782 @ SV1101 )
= ( c_List_Olist_ONil @ SV1101 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2578]) ).
thf(2887,plain,
! [SV1102: $i,SV783: $i,SV368: $i] :
( ( ( ( c_List_Oappend @ SV368 @ SV783 @ SV1102 )
!= ( c_List_Olist_ONil @ SV1102 ) )
= $true )
| ( ( SV783
= ( c_List_Olist_ONil @ SV1102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2579]) ).
thf(2888,plain,
! [SV1103: $i,SV784: $i,SV370: $i] :
( ( ( SV370
!= ( c_List_Oappend @ SV370 @ SV784 @ SV1103 ) )
= $true )
| ( ( SV784
= ( c_List_Olist_ONil @ SV1103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2580]) ).
thf(2889,plain,
! [SV1302: $i,SV1104: $i,SV785: $i,SV371: $i] :
( ( ! [SY3635: $i] :
( ( ( c_List_Oappend @ SV371 @ SV785 @ SV1104 )
!= ( c_List_Oappend @ SV1302 @ SY3635 @ SV1104 ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1302 @ ( tc_List_Olist @ SV1104 ) ) @ SV371 @ SV1104 )
= SV1302 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV371 @ ( tc_List_Olist @ SV1104 ) ) @ ( c_Nat_Osize__class_Osize @ SV1302 @ ( tc_List_Olist @ SV1104 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2581]) ).
thf(2890,plain,
! [SV1105: $i,SV786: $i,SV373: $i] :
( ( ( c_List_Olist_OCons @ SV373 @ SV786 @ SV1105 )
= ( c_List_Olist_ONil @ SV1105 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2582]) ).
thf(2891,plain,
! [SV1303: $i,SV1106: $i,SV787: $i,SV374: $i] :
( ( ( ( c_List_Oappend @ SV374 @ SV787 @ SV1106 )
!= ( c_List_Oappend @ SV374 @ SV1303 @ SV1106 ) )
| ( SV787 = SV1303 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2583]) ).
thf(2892,plain,
! [SV1304: $i,SV1107: $i,SV788: $i,SV375: $i] :
( ( ! [SY3636: $i] :
( ( ( c_List_Omap @ SV375 @ SV788 @ SV1107 @ SV1304 )
!= ( c_List_Omap @ SV375 @ SY3636 @ SV1107 @ SV1304 ) )
| ( ( c_Nat_Osize__class_Osize @ SV788 @ ( tc_List_Olist @ SV1107 ) )
= ( c_Nat_Osize__class_Osize @ SY3636 @ ( tc_List_Olist @ SV1107 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2584]) ).
thf(2893,plain,
! [SV1108: $i,SV789: $i,SV376: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV376 ) )
= $true )
| ( ( ( ( c_List_Oset @ SV789 @ SV376 )
!= ( c_List_Oset @ SV1108 @ SV376 ) )
| ~ ( c_List_Odistinct @ SV1108 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
| ~ ( c_List_Odistinct @ SV789 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2585]) ).
thf(2894,plain,
! [SV1305: $i,SV1109: $i,SV790: $i,SV377: $i] :
( ( ! [SY3637: $i] :
( ( ( c_List_Oappend @ SV377 @ SV790 @ SV1109 )
!= ( c_List_Oappend @ SV1305 @ SY3637 @ SV1109 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1305 @ ( tc_List_Olist @ SV1109 ) ) @ SV377 @ SV1109 ) @ SV790 @ SV1109 )
= SY3637 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV377 @ ( tc_List_Olist @ SV1109 ) ) @ ( c_Nat_Osize__class_Osize @ SV1305 @ ( tc_List_Olist @ SV1109 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2586]) ).
thf(2895,plain,
! [SV1306: $i,SV1110: $i,SV791: $i,SV378: $i] :
( ( ! [SY3638: $i] :
( ( ( c_List_Olist_OCons @ SV378 @ SV791 @ SV1110 )
!= ( c_List_Olist_OCons @ SV1306 @ SY3638 @ SV1110 ) )
| ( SV791 = SY3638 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2587]) ).
thf(2896,plain,
! [SV1111: $i,SV792: $i,SV379: $i] :
( ( ( SV379
!= ( c_List_Oappend @ SV792 @ SV379 @ SV1111 ) )
= $true )
| ( ( SV792
= ( c_List_Olist_ONil @ SV1111 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2588]) ).
thf(2897,plain,
! [SV1307: $i,SV1112: $i,SV793: $i,SV380: $i] :
( ( ! [SY3639: $i] :
( ( ( c_List_Oreplicate @ SV380 @ SV793 @ SV1112 )
!= ( c_List_Oreplicate @ SV1307 @ SY3639 @ SV1112 ) )
| ( SV380 = SV1307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2589]) ).
thf(2898,plain,
! [SV1308: $i,SV1113: $i,SV794: $i,SV381: $i] :
( ( ! [SY3640: $i] :
( ( c_Event_Oevent_OSays @ SV381 @ SV794 @ SV1113 )
!= ( c_Event_Oevent_OGets @ SV1308 @ SY3640 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2590]) ).
thf(2899,plain,
! [SV1309: $i,SV1114: $i,SV795: $i,SV382: $i] :
( ( ( ( c_List_Olist_ONil @ SV382 )
!= ( c_List_Omap @ SV795 @ SV1114 @ SV1309 @ SV382 ) )
| ( SV1114
= ( c_List_Olist_ONil @ SV1309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2591]) ).
thf(2900,plain,
! [SV796: $i,SV383: $i] :
( ( ( ( c_List_Olist_ONil @ SV383 )
= ( hAPP @ ( c_List_Orev @ SV383 ) @ SV796 ) )
= $false )
| ( ( SV796
= ( c_List_Olist_ONil @ SV383 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2592]) ).
thf(2901,plain,
! [SV1310: $i,SV1115: $i,SV797: $i,SV384: $i] :
( ( ! [SY3641: $i,SY3642: $i,SY3643: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
!= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SV1310 ) ) )
| ( c_List_Olist__all2 @ SY3641 @ ( c_List_Oappend @ SV384 @ SY3642 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SY3643 @ SV1310 ) @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SY3641 @ SY3642 @ SY3643 @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SY3641 @ SV384 @ SV1115 @ SV797 @ SV1310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2593]) ).
thf(2902,plain,
! [SV798: $i,SV385: $i] :
( ( ( ( c_List_Oremdups @ SV385 @ SV798 )
= ( c_List_Olist_ONil @ SV798 ) )
= $false )
| ( ( SV385
= ( c_List_Olist_ONil @ SV798 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2594]) ).
thf(2903,plain,
! [SV1116: $i,SV799: $i,SV386: $i] :
( ( ( ( c_List_Olist_ONil @ SV386 )
!= ( c_List_Oappend @ SV799 @ SV1116 @ SV386 ) )
= $true )
| ( ( SV799
= ( c_List_Olist_ONil @ SV386 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2595]) ).
thf(2904,plain,
! [SV1311: $i,SV1117: $i,SV800: $i,SV387: $i] :
( ( ! [SY3644: $i] :
( ( ( c_List_Oappend @ SV387 @ ( c_List_Olist_OCons @ SV800 @ ( c_List_Olist_ONil @ SV1117 ) @ SV1117 ) @ SV1117 )
!= ( c_List_Oappend @ SV1311 @ ( c_List_Olist_OCons @ SY3644 @ ( c_List_Olist_ONil @ SV1117 ) @ SV1117 ) @ SV1117 ) )
| ( SV800 = SY3644 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2596]) ).
thf(2905,plain,
! [SV1118: $i,SV801: $i,SV388: $i] :
( ( ( ( c_List_Odrop @ SV388 @ SV801 @ SV1118 )
!= ( c_List_Olist_ONil @ SV1118 ) )
= $true )
| ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV801 @ ( tc_List_Olist @ SV1118 ) ) @ SV388 @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2597]) ).
thf(2906,plain,
! [SV1312: $i,SV1119: $i,SV802: $i,SV389: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
!= SV1312 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 )
!= SV389 )
| ( SV1119
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) )
| ( ( c_List_Oappend @ SV1119 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= ( c_List_Oappend @ SV389 @ SV1312 @ SV802 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2598]) ).
thf(2907,plain,
! [SV1120: $i,SV803: $i,SV390: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV390 @ SV803 @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ SV1120 @ SV803 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV803 @ SV1120 @ tc_nat )
| ~ ( c_lessequals @ SV803 @ SV390 @ tc_nat )
| ( SV390 = SV1120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2599]) ).
thf(2908,plain,
! [SV1313: $i,SV1121: $i,SV804: $i,SV391: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV391 ) @ SV804 )
!= ( c_List_Olist_OCons @ SV1121 @ SV1313 @ SV391 ) )
| ( SV804
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV391 ) @ SV1313 ) @ ( c_List_Olist_OCons @ SV1121 @ ( c_List_Olist_ONil @ SV391 ) @ SV391 ) @ SV391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2600]) ).
thf(2909,plain,
! [SV1314: $i,SV1122: $i,SV805: $i,SV392: $i] :
( ( ! [SY3645: $i] :
( ( ( c_List_Olist_OCons @ SV392 @ SV805 @ SV1122 )
!= ( c_List_Ofilter @ SV1314 @ SY3645 @ SV1122 ) )
| ( hBOOL @ ( hAPP @ SV1314 @ SV392 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2601]) ).
thf(2910,plain,
! [SV1123: $i,SV806: $i,SV393: $i] :
( ( ( c_List_Olist_OCons @ SV393 @ SV806 @ SV1123 )
= SV806 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2602]) ).
thf(2911,plain,
! [SV1315: $i,SV1124: $i,SV807: $i,SV394: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV394 @ SV807 )
!= ( c_Event_Oevent_OGets @ SV1124 @ SV1315 ) )
| ( SV807 = SV1315 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2603]) ).
thf(2912,plain,
! [SV1316: $i,SV1125: $i,SV808: $i,SV395: $i] :
( ( ! [SY3646: $i] :
( ( ( c_List_Olist_OCons @ SV395 @ SV808 @ SV1125 )
!= ( c_List_Olist_OCons @ SV1316 @ SY3646 @ SV1125 ) )
| ( SV395 = SV1316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2604]) ).
thf(2913,plain,
! [SV809: $i,SV396: $i] :
( ( ( ( c_List_Oremdups @ SV396 @ SV809 )
= SV396 )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV396 @ SV809 ) @ ( tc_List_Olist @ SV809 ) )
= ( c_Nat_Osize__class_Osize @ SV396 @ ( tc_List_Olist @ SV809 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2605]) ).
thf(2914,plain,
! [SV1317: $i,SV1126: $i,SV810: $i,SV397: $i] :
( ( ( SV397
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) )
| ( ( c_List_Oappend @ SV397 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) @ SV1317 @ SV810 ) @ SV810 )
= ( c_List_Oappend @ SV1126 @ SV1317 @ SV810 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1126 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2606]) ).
thf(2915,plain,
! [SV1318: $i,SV1127: $i,SV811: $i,SV398: $i] :
( ( ! [SY3647: $i,SY3648: $i] :
( ( ( c_Event_Oevent_OSays @ SV398 @ SV811 @ SV1127 )
!= ( c_Event_Oevent_OSays @ SV1318 @ SY3647 @ SY3648 ) )
| ( SV811 = SY3647 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2607]) ).
thf(2916,plain,
! [SV1319: $i,SV1128: $i,SV812: $i,SV399: $i] :
( ( ! [SY3649: $i] :
( ( ( c_List_Oappend @ SV399 @ SV812 @ SV1128 )
!= ( c_List_Oappend @ SV1319 @ SY3649 @ SV1128 ) )
| ( SV399
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ SV1319 @ SV1128 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ ( c_Nat_Osize__class_Osize @ SV1319 @ ( tc_List_Olist @ SV1128 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2608]) ).
thf(2917,plain,
! [SV1129: $i,SV813: $i,SV400: $i] :
( ( ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Olist_ONil @ SV813 ) @ SV813 )
!= ( hAPP @ ( c_List_Orev @ SV813 ) @ SV1129 ) )
= $true )
| ( ( SV1129
= ( c_List_Olist_OCons @ SV400 @ ( c_List_Olist_ONil @ SV813 ) @ SV813 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2609]) ).
thf(2918,plain,
! [SV1320: $i,SV1130: $i,SV814: $i,SV401: $i] :
( ( ! [SY3650: $i,SY3651: $i,SY3652: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SV814 ) )
!= ( c_Nat_Osize__class_Osize @ SV1130 @ ( tc_List_Olist @ SV1320 ) ) )
| ( c_List_Olist__all2 @ SY3650 @ SV401 @ SV1130 @ SV814 @ SV1320 )
| ~ ( c_List_Olist__all2 @ SY3650 @ ( c_List_Oappend @ SV401 @ SY3651 @ SV814 ) @ ( c_List_Oappend @ SV1130 @ SY3652 @ SV1320 ) @ SV814 @ SV1320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2610]) ).
thf(2919,plain,
! [SV1321: $i,SV1131: $i,SV815: $i,SV402: $i] :
( ( ! [SY3653: $i,SY3654: $i,SY3655: $i] :
( ( ( hAPP @ SV402 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) )
!= ( hAPP @ SV1131 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) ) )
| ( SV815 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SY3653 @ SV402 @ SY3654 @ SV815 @ SV1321 )
= ( c_Message_Oagent_Oagent__case @ SY3655 @ SV1131 @ SY3654 @ SV815 @ SV1321 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2611]) ).
thf(2920,plain,
! [SV1322: $i,SV1132: $i,SV816: $i,SV403: $i] :
( ( ! [SY3656: $i,SY3657: $i] :
( ( ( c_Event_Oevent_OSays @ SV403 @ SV816 @ SV1132 )
!= ( c_Event_Oevent_OSays @ SV1322 @ SY3656 @ SY3657 ) )
| ( SV403 = SV1322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2612]) ).
thf(2921,plain,
! [SV1323: $i,SV1133: $i,SV817: $i,SV404: $i] :
( ( ~ ( class_OrderedGroup_Oab__group__add @ SV404 )
| ( ( c_HOL_Ominus__class_Ominus @ SV817 @ SV817 @ SV404 )
!= ( c_HOL_Ominus__class_Ominus @ SV1133 @ SV1323 @ SV404 ) )
| ( SV1133 = SV1323 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2613]) ).
thf(2922,plain,
! [SV1324: $i,SV1134: $i,SV818: $i,SV405: $i] :
( ( ! [SY3658: $i] :
( ( ( c_List_OdropWhile @ SV405 @ SV818 @ SV1134 )
!= ( c_List_Olist_OCons @ SV1324 @ SY3658 @ SV1134 ) )
| ~ ( hBOOL @ ( hAPP @ SV405 @ SV1324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2614]) ).
thf(2923,plain,
! [SV1325: $i,SV1135: $i,SV819: $i,SV406: $i] :
( ( ! [SY3659: $i,SY3660: $i] :
( ~ ( class_Divides_Oring__div @ SV406 )
| ( ( c_Divides_Odiv__class_Omod @ SV819 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1325 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ SY3659 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SY3660 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3659 @ SV819 @ SV406 ) @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3660 @ SV1325 @ SV406 ) @ SV1135 @ SV406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2615]) ).
thf(2924,plain,
! [SV1326: $i,SV1136: $i,SV820: $i,SV407: $i] :
( ( ! [SY3661: $i,SY3662: $i,SY3663: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SY3661 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SY3662 @ ( tc_List_Olist @ SV1326 ) ) )
| ( c_List_Olist__all2 @ SY3663 @ ( c_List_Oappend @ SY3662 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SY3661 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SY3663 @ SV1136 @ SV407 @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SY3663 @ SY3662 @ SY3661 @ SV1326 @ SV820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2616]) ).
thf(2925,plain,
! [SV1137: $i,SV821: $i,SV408: $i] :
( ( ( ( c_List_Oappend @ SV408 @ SV821 @ SV1137 )
!= ( c_List_Olist_ONil @ SV1137 ) )
= $true )
| ( ( SV408
= ( c_List_Olist_ONil @ SV1137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2617]) ).
thf(2926,plain,
! [SV1327: $i,SV1138: $i,SV822: $i,SV409: $i] :
( ( ( ( c_List_Oappend @ SV409 @ SV822 @ SV1138 )
!= ( c_List_Oappend @ SV1327 @ SV822 @ SV1138 ) )
| ( SV409 = SV1327 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2618]) ).
thf(2927,plain,
! [SV1328: $i,SV1139: $i,SV823: $i,SV410: $i] :
( ( ! [SY3664: $i,SY3665: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV410 @ ( tc_List_Olist @ SV823 ) )
!= ( c_Nat_Osize__class_Osize @ SV1139 @ ( tc_List_Olist @ SV1328 ) ) )
| ( ( c_Map_Omap__upds @ SY3664 @ ( c_List_Oappend @ SV410 @ SY3665 @ SV823 ) @ SV1139 @ SV823 @ SV1328 )
= ( c_Map_Omap__upds @ SY3664 @ SV410 @ SV1139 @ SV823 @ SV1328 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2619]) ).
thf(2928,plain,
! [SV1329: $i,SV1140: $i,SV824: $i,SV411: $i] :
( ( ! [SY3666: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV411 )
| ( ( c_HOL_Ominus__class_Ominus @ SV824 @ SV1140 @ SV411 )
!= ( c_HOL_Ominus__class_Ominus @ SV1329 @ SY3666 @ SV411 ) )
| ( c_lessequals @ SY3666 @ SV1329 @ SV411 )
| ~ ( c_lessequals @ SV1140 @ SV824 @ SV411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2620]) ).
thf(2929,plain,
! [SV825: $i,SV412: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV412 )
= ( c_Message_Oagent_OFriend @ SV825 ) )
= $false )
| ( ( SV412 = SV825 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2621]) ).
thf(2930,plain,
! [SV1330: $i,SV1141: $i,SV826: $i,SV413: $i] :
( ( ~ ( class_OrderedGroup_Oab__group__add @ SV413 )
| ( ( c_HOL_Ominus__class_Ominus @ SV826 @ SV1141 @ SV413 )
!= ( c_HOL_Ominus__class_Ominus @ SV1330 @ SV1330 @ SV413 ) )
| ( SV826 = SV1141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2622]) ).
thf(2931,plain,
! [SV1331: $i,SV1142: $i,SV827: $i,SV414: $i] :
( ( ! [SY3667: $i,SY3668: $i,SY3669: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SV827 ) )
!= ( c_Nat_Osize__class_Osize @ SV1142 @ ( tc_List_Olist @ SV1331 ) ) )
| ( c_List_Olist__all2 @ SY3667 @ SY3668 @ SY3669 @ SV827 @ SV1331 )
| ~ ( c_List_Olist__all2 @ SY3667 @ ( c_List_Oappend @ SV414 @ SY3668 @ SV827 ) @ ( c_List_Oappend @ SV1142 @ SY3669 @ SV1331 ) @ SV827 @ SV1331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2623]) ).
thf(2932,plain,
! [SV1143: $i,SV828: $i,SV415: $i] :
( ( ( c_List_Olist_ONil @ SV415 )
= ( c_List_Olist_OCons @ SV828 @ SV1143 @ SV415 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2624]) ).
thf(2933,plain,
! [SV1332: $i,SV1144: $i,SV829: $i,SV417: $i] :
( ( ! [SY3670: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV417 )
| ( ( c_HOL_Ominus__class_Ominus @ SV829 @ SV1144 @ SV417 )
!= ( c_HOL_Ominus__class_Ominus @ SV1332 @ SY3670 @ SV417 ) )
| ( c_lessequals @ SV1144 @ SV829 @ SV417 )
| ~ ( c_lessequals @ SY3670 @ SV1332 @ SV417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2625]) ).
thf(2934,plain,
! [SV1145: $i,SV830: $i,SV418: $i] :
( ( ( SV418
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV418 @ ( tc_List_Olist @ SV830 ) ) @ SV1145 @ SV830 ) )
= $true )
| ( ( ( c_List_Oappend @ SV418 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV418 @ ( tc_List_Olist @ SV830 ) ) @ SV1145 @ SV830 ) @ SV830 )
= SV1145 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2626]) ).
thf(2935,plain,
! [SV831: $i,SV419: $i] :
( ( ( ( c_List_Orotate1 @ SV419 @ SV831 )
= ( c_List_Olist_ONil @ SV831 ) )
= $false )
| ( ( SV419
= ( c_List_Olist_ONil @ SV831 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2627]) ).
thf(2936,plain,
! [SV1333: $i,SV1146: $i,SV832: $i,SV420: $i] :
( ( ! [SY3671: $i] :
( ( ( c_List_Oappend @ SV420 @ ( c_List_Olist_OCons @ SV832 @ ( c_List_Olist_ONil @ SV1146 ) @ SV1146 ) @ SV1146 )
!= ( c_List_Oappend @ SV1333 @ ( c_List_Olist_OCons @ SY3671 @ ( c_List_Olist_ONil @ SV1146 ) @ SV1146 ) @ SV1146 ) )
| ( SV420 = SV1333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2628]) ).
thf(2937,plain,
! [SV833: $i,SV421: $i] :
( ( ( ( c_List_Olist_ONil @ SV421 )
= ( c_List_Oremdups @ SV833 @ SV421 ) )
= $false )
| ( ( SV833
= ( c_List_Olist_ONil @ SV421 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2629]) ).
thf(2938,plain,
! [SV1334: $i,SV1147: $i,SV834: $i,SV422: $i] :
( ( ! [SY3672: $i,SY3673: $i] :
( ( ( c_Event_Oevent_OSays @ SV422 @ SV834 @ SV1147 )
!= ( c_Event_Oevent_OSays @ SV1334 @ SY3672 @ SY3673 ) )
| ( SV1147 = SY3673 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(2939,plain,
! [SV1335: $i,SV1148: $i,SV835: $i,SV423: $i] :
( ( ! [SY3674: $i] :
( ( ( c_List_Ofilter @ SV423 @ SV835 @ SV1148 )
!= ( c_List_Olist_OCons @ SV1335 @ SY3674 @ SV1148 ) )
| ( hBOOL @ ( hAPP @ SV423 @ SV1335 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2631]) ).
thf(2940,plain,
! [SV1336: $i,SV1149: $i,SV836: $i,SV424: $i] :
( ( ! [SY3675: $i,SY3676: $i,SY3677: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SY3675 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SY3676 @ ( tc_List_Olist @ SV1336 ) ) )
| ( c_List_Olist__all2 @ SY3677 @ ( c_List_Oappend @ SY3675 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SY3676 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SY3677 @ SV424 @ SV1149 @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SY3677 @ SY3675 @ SY3676 @ SV836 @ SV1336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2632]) ).
thf(2941,plain,
! [SV1337: $i,SV1150: $i,SV837: $i,SV425: $i] :
( ( ! [SY3678: $i,SY3679: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV425 @ ( tc_List_Olist @ SV837 ) )
!= ( c_Nat_Osize__class_Osize @ SV1150 @ ( tc_List_Olist @ SV1337 ) ) )
| ( ( c_Map_Omap__upds @ SY3678 @ SV425 @ ( c_List_Oappend @ SV1150 @ SY3679 @ SV1337 ) @ SV837 @ SV1337 )
= ( c_Map_Omap__upds @ SY3678 @ SV425 @ SV1150 @ SV837 @ SV1337 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2633]) ).
thf(2942,plain,
! [SV1338: $i,SV1151: $i,SV838: $i,SV426: $i] :
( ( ( ( c_List_Olist__update @ SV426 @ SV838 @ SV1151 @ SV1338 )
!= ( c_List_Olist_ONil @ SV1338 ) )
| ( SV426
= ( c_List_Olist_ONil @ SV1338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2634]) ).
thf(2943,plain,
! [SV1339: $i,SV1152: $i,SV839: $i,SV427: $i] :
( ( ! [SY3680: $i] :
( ( c_Event_Oevent_OGets @ SV427 @ SV839 )
!= ( c_Event_Oevent_OSays @ SV1152 @ SV1339 @ SY3680 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2635]) ).
thf(2944,plain,
! [SV1340: $i,SV1153: $i,SV840: $i,SV428: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV428 @ SV840 )
!= ( c_Event_Oevent_OGets @ SV1153 @ SV1340 ) )
| ( SV428 = SV1153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2636]) ).
thf(2945,plain,
! [SV841: $i,SV430: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV430 @ SV841 ) @ ( tc_List_Olist @ SV841 ) )
= ( c_Nat_Osize__class_Osize @ SV430 @ ( tc_List_Olist @ SV841 ) ) )
= $false )
| ( ( ( c_List_Oremdups @ SV430 @ SV841 )
= SV430 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2637]) ).
thf(2946,plain,
! [SV1341: $i,SV1154: $i,SV842: $i,SV431: $i,SV1: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV1 @ SV431 ) @ ( c_Event_Oknows @ SV1 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV842 @ SV1154 @ SV1341 ) @ SV431 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2638]) ).
thf(2947,plain,
! [SV5: $i,SV846: $i,SV435: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV435 @ ( tc_List_Olist @ SV846 ) ) @ SV5 @ tc_nat )
= $false )
| ( ( ( c_List_Odrop @ SV5 @ SV435 @ SV846 )
= ( c_List_Olist_ONil @ SV846 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2642]) ).
thf(2948,plain,
! [SV1342: $i,SV1160: $i,SV849: $i,SV438: $i,SV8: $i] :
( ( ( hBOOL @ ( hAPP @ SV8 @ ( c_Message_Oagent_Oagent__case @ SV438 @ SV849 @ SV1160 @ SV1342 @ t_a ) ) )
| ( SV1342 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV8 @ ( hAPP @ SV849 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV8 @ SV849 @ SV1342 ) ) ) )
| ( SV1342 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2645]) ).
thf(2949,plain,
! [SV1343: $i,SV1161: $i,SV850: $i,SV439: $i,SV9: $i] :
( ( ( hBOOL @ ( hAPP @ SV9 @ ( c_Message_Oagent_Oagent__case @ SV439 @ SV850 @ SV1161 @ SV1343 @ t_a ) ) )
| ( SV1343 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV9 @ ( hAPP @ SV850 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV9 @ SV850 @ SV1343 ) ) ) )
| ( SV1343 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2646]) ).
thf(2950,plain,
! [SV1344: $i,SV1163: $i,SV852: $i,SV441: $i,SV11: $i] :
( ( ( hBOOL @ ( hAPP @ SV11 @ ( c_Message_Oagent_Oagent__case @ SV441 @ SV852 @ SV1163 @ SV1344 @ t_a ) ) )
| ( SV1344 = c_Message_Oagent_OSpy )
| ( SV1344
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV11 @ SV852 @ SV1344 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV11 @ SV441 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2648]) ).
thf(2951,plain,
! [SV1345: $i,SV1164: $i,SV853: $i,SV442: $i,SV12: $i] :
( ( ! [SY3681: $i,SY3682: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV12 @ SV442 @ SV853 @ SV1164 @ SV1345 )
= ( c_Message_Oagent_Oagent__case @ SV12 @ SY3681 @ SY3682 @ SV1164 @ SV1345 ) )
| ( SV1164 = c_Message_Oagent_OSpy )
| ( SV1164
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1164 @ SV442 @ SY3681 @ SV1345 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2649]) ).
thf(2952,plain,
! [SV1346: $i,SV1165: $i,SV854: $i,SV443: $i,SV13: $i] :
( ( ( hBOOL @ ( hAPP @ SV13 @ ( c_Message_Oagent_Oagent__case @ SV443 @ SV854 @ SV1165 @ SV1346 @ t_a ) ) )
| ( SV1346 = c_Message_Oagent_OSpy )
| ( SV1346
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV13 @ SV854 @ SV1346 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV13 @ SV443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2650]) ).
thf(2953,plain,
! [SV1347: $i,SV1166: $i,SV855: $i,SV444: $i,SV14: $i] :
( ( ( hBOOL @ ( hAPP @ SV14 @ ( c_Message_Oagent_Oagent__case @ SV444 @ SV855 @ SV1166 @ SV1347 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV14 @ SV1166 ) )
| ( SV1347
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV14 @ SV855 @ SV1347 ) ) )
| ( SV1347 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2651]) ).
thf(2954,plain,
! [SV1348: $i,SV1167: $i,SV856: $i,SV445: $i,SV15: $i] :
( ( ! [SY3683: $i,SY3684: $i] :
( ( SV15
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV15 @ SV445 @ SV856 @ SV1167 ) ) )
| ( SV15 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1348 @ SV445 @ SY3683 @ SV15 @ SV1167 )
= ( c_Message_Oagent_Oagent__case @ SY3684 @ SV856 @ SY3683 @ SV15 @ SV1167 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2652]) ).
thf(2955,plain,
! [SV1349: $i,SV1168: $i,SV857: $i,SV446: $i,SV16: $i] :
( ( ( hBOOL @ ( hAPP @ SV16 @ ( c_Message_Oagent_Oagent__case @ SV446 @ SV857 @ SV1168 @ SV1349 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV16 @ SV1168 ) )
| ( SV1349
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV16 @ SV857 @ SV1349 ) ) )
| ( SV1349 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2653]) ).
thf(2956,plain,
! [SV1350: $i,SV1170: $i,SV860: $i,SV449: $i,SV21: $i] :
( ( ~ ( class_HOL_Oord @ SV21 )
| ( c_lessequals @ ( hAPP @ SV449 @ SV860 ) @ ( hAPP @ SV1170 @ SV860 ) @ SV21 )
| ~ ( c_lessequals @ SV449 @ SV1170 @ ( tc_fun @ SV1350 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2655]) ).
thf(2957,plain,
! [SV1351: $i,SV1171: $i,SV861: $i,SV450: $i,SV22: $i] :
( ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV861 @ SV1171 @ SV1351 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV1171 ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SV861 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SV861 @ SV1351 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2656]) ).
thf(2958,plain,
! [SV1172: $i,SV863: $i,SV453: $i,SV25: $i] :
( ( ( ~ ( class_Divides_Oring__div @ SV25 ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV453 @ SV863 @ SV25 ) @ SV1172 @ SV25 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV453 @ SV1172 @ SV25 ) @ ( c_Divides_Odiv__class_Omod @ SV863 @ SV1172 @ SV25 ) @ SV25 ) @ SV1172 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2658]) ).
thf(2959,plain,
! [SV1173: $i,SV864: $i,SV455: $i,SV27: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV27 @ SV455 @ SV864 ) @ SV1173 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV455 @ SV1173 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2659]) ).
thf(2960,plain,
! [SV29: $i,SV866: $i,SV457: $i] :
( ( ( ~ ( c_lessequals @ SV457 @ SV866 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV457 @ SV29 @ tc_nat ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV29 @ SV457 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV866 @ SV457 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV29 @ SV866 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2660]) ).
thf(2961,plain,
! [SV461: $i,SV869: $i,SV33: $i] :
( ( ( ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV33 @ SV869 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV461 @ SV869 @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV869 @ SV461 @ tc_nat )
| ~ ( c_lessequals @ SV869 @ SV33 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV33 @ SV461 @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2661]) ).
thf(2962,plain,
! [SV462: $i,SV870: $i,SV34: $i] :
( ( ( ~ ( c_lessequals @ SV34 @ SV870 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV462 @ SV870 @ tc_nat )
| ~ ( c_lessequals @ SV462 @ SV34 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV34 @ SV462 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV870 @ SV462 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2662]) ).
thf(2963,plain,
! [SV463: $i,SV871: $i,SV35: $i] :
( ( ( c_lessequals @ SV35 @ SV871 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV35 @ SV463 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV871 @ SV463 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2663]) ).
thf(2964,plain,
! [SV36: $i,SV464: $i,SV872: $i] :
( ( ( c_lessequals @ SV872 @ SV464 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV36 @ SV464 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV36 @ SV872 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2664]) ).
thf(2965,plain,
! [SV1175: $i,SV874: $i,SV466: $i,SV38: $i] :
( ( ( ~ ( class_Divides_Oring__div @ SV38 ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV466 @ SV874 @ SV38 ) @ SV1175 @ SV38 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV466 @ ( c_Divides_Odiv__class_Omod @ SV874 @ SV1175 @ SV38 ) @ SV38 ) @ SV1175 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2666]) ).
thf(2966,plain,
! [SV1176: $i,SV875: $i,SV467: $i,SV39: $i] :
( ( ( ~ ( class_Divides_Oring__div @ SV39 ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV467 @ SV875 @ SV39 ) @ SV1176 @ SV39 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV467 @ SV1176 @ SV39 ) @ SV875 @ SV39 ) @ SV1176 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2667]) ).
thf(2967,plain,
! [SV1352: $i,SV1177: $i,SV876: $i,SV468: $i,SV40: $i] :
( ( ( c_Fun_Oinj__on @ SV40 @ SV468 @ SV876 @ SV1177 )
| ~ ( c_Fun_Oinj__on @ SV40 @ ( c_Set_Oinsert @ SV1352 @ SV468 @ SV876 ) @ SV876 @ SV1177 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2668]) ).
thf(2968,plain,
! [SV1178: $i,SV878: $i,SV470: $i,SV42: $i] :
( ( ( c_lessequals @ SV42 @ SV470 @ ( tc_fun @ SV878 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Set_Oinsert @ SV1178 @ SV42 @ SV878 ) @ SV470 @ ( tc_fun @ SV878 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2669]) ).
thf(2969,plain,
! [SV1179: $i,SV879: $i,SV471: $i,SV43: $i] :
( ( ( c_lessequals @ SV43 @ ( c_Set_Oinsert @ SV471 @ SV879 @ SV1179 ) @ ( tc_fun @ SV1179 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV43 @ SV879 @ ( tc_fun @ SV1179 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2670]) ).
thf(2970,plain,
! [SV880: $i,SV472: $i,SV44: $i] :
( ( ( class_Divides_Osemiring__div @ SV44 )
= $false )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ SV472 @ SV880 @ SV44 ) @ SV880 @ SV44 )
= ( c_Divides_Odiv__class_Omod @ SV472 @ SV880 @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2671]) ).
thf(2971,plain,
! [SV1180: $i,SV882: $i,SV474: $i,SV46: $i] :
( ( ( hBOOL @ ( hAPP @ SV46 @ SV474 ) )
= $true )
| ( ( ( SV882 = SV474 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV882 @ SV46 @ SV1180 ) @ SV474 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2672]) ).
thf(2972,plain,
! [SV885: $i,SV50: $i,SV478: $i] :
( ( ( ~ ( c_lessequals @ SV478 @ SV50 @ ( tc_fun @ SV885 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV50 @ SV478 @ ( tc_fun @ SV885 @ tc_bool ) ) )
= $true )
| ( ( SV50 = SV478 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2674]) ).
thf(2973,plain,
! [SV51: $i,SV479: $i] :
( ( ( c_lessequals @ SV479 @ SV51 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV51 @ SV479 @ tc_nat ) )
= $true )
| ( ( SV51 = SV479 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2675]) ).
thf(2974,plain,
! [SV886: $i,SV52: $i,SV480: $i] :
( ( ( ~ ( c_lessequals @ SV480 @ SV52 @ ( tc_fun @ SV886 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV52 @ SV480 @ ( tc_fun @ SV886 @ tc_bool ) ) )
= $true )
| ( ( SV52 = SV480 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2676]) ).
thf(2975,plain,
! [SV887: $i,SV481: $i,SV53: $i] :
( ( ( class_Orderings_Oorder @ SV53 )
= $false )
| ( ( ( SV481 = SV887 )
| ~ ( c_lessequals @ SV887 @ SV481 @ SV53 )
| ~ ( c_lessequals @ SV481 @ SV887 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2677]) ).
thf(2976,plain,
! [SV888: $i,SV482: $i,SV54: $i] :
( ( ( class_Orderings_Oorder @ SV54 )
= $false )
| ( ( ( SV482 = SV888 )
| ~ ( c_lessequals @ SV888 @ SV482 @ SV54 )
| ~ ( c_lessequals @ SV482 @ SV888 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2678]) ).
thf(2977,plain,
! [SV889: $i,SV483: $i,SV55: $i] :
( ( ( class_Orderings_Oorder @ SV55 )
= $false )
| ( ( ( SV483 = SV889 )
| ~ ( c_lessequals @ SV483 @ SV889 @ SV55 )
| ~ ( c_lessequals @ SV889 @ SV483 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2679]) ).
thf(2978,plain,
! [SV1182: $i,SV892: $i,SV486: $i,SV58: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV58 ) )
= $true )
| ( ( ( c_lessequals @ SV486 @ SV892 @ SV58 )
| ~ ( c_lessequals @ SV486 @ SV1182 @ SV58 )
| ~ ( c_lessequals @ SV1182 @ SV892 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2681]) ).
thf(2979,plain,
! [SV1183: $i,SV893: $i,SV487: $i,SV59: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV59 ) )
= $true )
| ( ( ( c_lessequals @ SV487 @ SV893 @ SV59 )
| ~ ( c_lessequals @ SV1183 @ SV893 @ SV59 )
| ~ ( c_lessequals @ SV487 @ SV1183 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2682]) ).
thf(2980,plain,
! [SV61: $i,SV488: $i,SV894: $i] :
( ( ( ~ ( c_lessequals @ SV894 @ SV488 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV61 @ SV894 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV61 @ SV488 @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2683]) ).
thf(2981,plain,
! [SV1184: $i,SV895: $i,SV491: $i,SV65: $i] :
( ( ( c_lessequals @ SV65 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1184 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
| ~ ( c_lessequals @ SV65 @ SV1184 @ ( tc_fun @ SV895 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2684]) ).
thf(2982,plain,
! [SV1353: $i,SV1185: $i,SV896: $i,SV492: $i,SV66: $i] :
( ( ( c_Fun_Oinj__on @ SV66 @ SV492 @ SV896 @ SV1185 )
| ~ ( c_lessequals @ SV492 @ SV1353 @ ( tc_fun @ SV896 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV66 @ SV1353 @ SV896 @ SV1185 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2685]) ).
thf(2983,plain,
! [SV1186: $i,SV897: $i,SV493: $i,SV67: $i] :
( ( ( hBOOL @ ( hAPP @ SV67 @ SV493 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV897 @ SV493 ) )
| ~ ( c_lessequals @ SV897 @ SV67 @ ( tc_fun @ SV1186 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2686]) ).
thf(2984,plain,
! [SV1187: $i,SV898: $i,SV496: $i,SV70: $i] :
( ( ( hBOOL @ ( hAPP @ SV70 @ SV496 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV898 @ SV70 @ ( tc_fun @ SV1187 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV898 @ SV496 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2689]) ).
thf(2985,plain,
! [SV1354: $i,SV1188: $i,SV899: $i,SV497: $i,SV71: $i] :
( ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SV497 @ SV899 @ SV1188 @ SV1354 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SV1188 ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV899 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SV899 @ SV1354 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SV497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2690]) ).
thf(2986,plain,
! [SV1189: $i,SV900: $i,SV498: $i,SV72: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV72 @ SV498 @ SV900 ) @ ( c_Set_Oinsert @ SV72 @ SV1189 @ SV900 ) @ ( tc_fun @ SV900 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV498 @ SV1189 @ ( tc_fun @ SV900 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2691]) ).
thf(2987,plain,
! [SV901: $i,SV500: $i,SV74: $i] :
( ( ( class_Orderings_Olinorder @ SV74 )
= $false )
| ( ( ( c_lessequals @ SV500 @ SV901 @ SV74 )
| ( c_lessequals @ SV901 @ SV500 @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2692]) ).
thf(2988,plain,
! [SV86: $i,SV911: $i,SV512: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV512 @ ( tc_List_Olist @ SV911 ) ) @ SV86 @ tc_nat )
= $false )
| ( ( ( c_List_Otake @ SV86 @ SV512 @ SV911 )
= SV512 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2697]) ).
thf(2989,plain,
! [SV1190: $i,SV913: $i,SV514: $i,SV88: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV88 ) )
= $true )
| ( ( ( c_lessequals @ SV514 @ SV913 @ SV88 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV514 @ ( c_List_Olist_OCons @ SV913 @ SV1190 @ SV88 ) @ SV88 ) @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2698]) ).
thf(2990,plain,
! [SV1191: $i,SV914: $i,SV515: $i,SV89: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV89 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV515 @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 ) @ SV89 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 )
| ~ ( c_lessequals @ SV515 @ SV914 @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2699]) ).
thf(2991,plain,
! [SV1192: $i,SV917: $i,SV518: $i,SV92: $i] :
( ( ( ( c_List_Olist__update @ SV92 @ SV518 @ SV917 @ SV1192 )
= SV92 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV92 @ ( tc_List_Olist @ SV1192 ) ) @ SV518 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2700]) ).
thf(2992,plain,
! [SV1355: $i,SV1194: $i,SV922: $i,SV524: $i,SV98: $i] :
( ( ( hBOOL @ ( hAPP @ SV98 @ ( c_Message_Oagent_Oagent__case @ SV524 @ SV922 @ SV1194 @ SV1355 @ t_a ) ) )
| ( SV1355 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV98 @ ( hAPP @ SV922 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV98 @ SV922 @ SV1355 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ SV524 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2702]) ).
thf(2993,plain,
! [SV1356: $i,SV1195: $i,SV923: $i,SV525: $i,SV99: $i] :
( ( ( hBOOL @ ( hAPP @ SV99 @ ( c_Message_Oagent_Oagent__case @ SV525 @ SV923 @ SV1195 @ SV1356 @ t_a ) ) )
| ( SV1356 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV99 @ ( hAPP @ SV923 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV99 @ SV923 @ SV1356 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV99 @ SV525 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2703]) ).
thf(2994,plain,
! [SV1357: $i,SV1197: $i,SV927: $i,SV529: $i,SV103: $i] :
( ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Message_Oagent_Oagent__case @ SV529 @ SV927 @ SV1197 @ SV1357 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ SV1197 ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ ( hAPP @ SV927 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV103 @ SV927 @ SV1357 ) ) ) )
| ( SV1357 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2705]) ).
thf(2995,plain,
! [SV1358: $i,SV1198: $i,SV928: $i,SV530: $i,SV104: $i] :
( ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Message_Oagent_Oagent__case @ SV530 @ SV928 @ SV1198 @ SV1358 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ SV1198 ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ ( hAPP @ SV928 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV104 @ SV928 @ SV1358 ) ) ) )
| ( SV1358 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2706]) ).
thf(2996,plain,
! [SV1359: $i,SV1199: $i,SV929: $i,SV531: $i,SV105: $i] :
( ( ! [SY3685: $i] :
( ( SV105
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV105 @ SV531 @ SV929 @ SV1199 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SV1359 @ SV531 @ SY3685 @ SV105 @ SV1199 )
= ( c_Message_Oagent_Oagent__case @ SV1359 @ SV929 @ SY3685 @ SV105 @ SV1199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2707]) ).
thf(2997,plain,
! [SV1360: $i,SV1200: $i,SV930: $i,SV532: $i,SV106: $i] :
( ( ( hBOOL @ ( hAPP @ SV106 @ ( c_Message_Oagent_Oagent__case @ SV532 @ SV930 @ SV1200 @ SV1360 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SV1200 ) )
| ( SV1360
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV106 @ SV930 @ SV1360 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SV532 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2708]) ).
thf(2998,plain,
! [SV1361: $i,SV1201: $i,SV931: $i,SV533: $i,SV107: $i] :
( ( ( hBOOL @ ( hAPP @ SV107 @ ( c_Message_Oagent_Oagent__case @ SV533 @ SV931 @ SV1201 @ SV1361 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SV1201 ) )
| ( SV1361
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV107 @ SV931 @ SV1361 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SV533 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2709]) ).
thf(2999,plain,
! [SV535: $i,SV109: $i] :
( ( ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV109 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV109 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV109 @ SV535 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2710]) ).
thf(3000,plain,
! [SV536: $i,SV110: $i] :
( ( ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV110 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV110 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV110 @ SV536 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2711]) ).
thf(3001,plain,
! [SV537: $i,SV111: $i] :
( ( ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV111 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV111 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV111 @ SV537 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2712]) ).
thf(3002,plain,
! [SV538: $i,SV112: $i] :
( ( ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV112 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV112 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV112 @ SV538 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2713]) ).
thf(3003,plain,
! [SV539: $i,SV113: $i] :
( ( ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV113 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV113 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV113 @ SV539 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2714]) ).
thf(3004,plain,
! [SV540: $i,SV114: $i] :
( ( ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV114 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV114 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV114 @ SV540 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2715]) ).
thf(3005,plain,
! [SV541: $i,SV115: $i] :
( ( ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV115 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV115 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV115 @ SV541 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2716]) ).
thf(3006,plain,
! [SV542: $i,SV116: $i] :
( ( ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV116 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV116 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV116 @ SV542 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(3007,plain,
! [SV543: $i,SV117: $i] :
( ( ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV117 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV117 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV117 @ SV543 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2718]) ).
thf(3008,plain,
! [SV544: $i,SV118: $i] :
( ( ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV118 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV118 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV118 @ SV544 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2719]) ).
thf(3009,plain,
! [SV545: $i,SV119: $i] :
( ( ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV119 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV119 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV119 @ SV545 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2720]) ).
thf(3010,plain,
! [SV1202: $i,SV932: $i,SV546: $i,SV120: $i] :
( ( ( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV120 ) )
= $true )
| ( ( ( ( c_Finite__Set_Osetsum @ SV546 @ ( c_List_Oset @ SV932 @ SV1202 ) @ SV1202 @ SV120 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV546 @ SV932 @ SV1202 @ SV120 ) @ SV120 ) )
| ~ ( c_List_Odistinct @ SV932 @ SV1202 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2721]) ).
thf(3011,plain,
! [SV1362: $i,SV1203: $i,SV937: $i,SV552: $i,SV126: $i] :
( ( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV552 @ SV937 @ SV1203 @ SV1362 @ t_a ) ) )
| ( SV1362 = c_Message_Oagent_OSpy )
| ( SV1362
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV937 @ SV1362 ) ) )
| ( SV1362 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2723]) ).
thf(3012,plain,
! [SV1363: $i,SV1204: $i,SV938: $i,SV553: $i,SV127: $i] :
( ( ! [SY3686: $i,SY3687: $i,SY3688: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SV553 @ SV938 @ SV1204 @ SV1363 )
= ( c_Message_Oagent_Oagent__case @ SY3686 @ SY3687 @ SY3688 @ SV1204 @ SV1363 ) )
| ( SV1204 = c_Message_Oagent_OSpy )
| ( SV1204
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1204 @ SV553 @ SY3687 @ SV1363 ) ) )
| ( SV1204 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2724]) ).
thf(3013,plain,
! [SV1364: $i,SV1205: $i,SV939: $i,SV554: $i,SV128: $i] :
( ( ( hBOOL @ ( hAPP @ SV128 @ ( c_Message_Oagent_Oagent__case @ SV554 @ SV939 @ SV1205 @ SV1364 @ t_a ) ) )
| ( SV1364 = c_Message_Oagent_OSpy )
| ( SV1364
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV128 @ SV939 @ SV1364 ) ) )
| ( SV1364 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2725]) ).
thf(3014,plain,
! [SV941: $i,SV557: $i,SV131: $i] :
( ( ( class_Orderings_Olinorder @ SV131 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SV557 @ SV941 @ SV131 ) @ SV131 )
| ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2726]) ).
thf(3015,plain,
! [SV1365: $i,SV1206: $i,SV942: $i,SV558: $i,SV132: $i] :
( ( ( c_List_Otake @ SV132 @ ( c_List_Omap @ SV558 @ SV942 @ SV1206 @ SV1365 ) @ SV1365 )
= ( c_List_Omap @ SV558 @ ( c_List_Otake @ SV132 @ SV942 @ SV1206 ) @ SV1206 @ SV1365 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2727]) ).
thf(3016,plain,
! [SV1366: $i,SV1207: $i,SV944: $i,SV560: $i,SV134: $i] :
( ( ! [SY3689: $i] :
( ( c_List_Olist__all2 @ SV134 @ ( c_List_Otake @ SV560 @ SV944 @ SV1207 ) @ ( c_List_Otake @ SV560 @ SV1366 @ SY3689 ) @ SV1207 @ SY3689 )
| ~ ( c_List_Olist__all2 @ SV134 @ SV944 @ SV1366 @ SV1207 @ SY3689 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2728]) ).
thf(3017,plain,
! [SV1208: $i,SV945: $i,SV561: $i,SV135: $i] :
( ( ( c_Fun_Oinj__on @ SV135 @ ( c_List_Oset @ SV561 @ SV945 ) @ SV945 @ SV1208 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Omap @ SV135 @ SV561 @ SV945 @ SV1208 ) @ SV1208 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2729]) ).
thf(3018,plain,
! [SV562: $i,SV136: $i,SV946: $i] :
( ( ( c_List_Olist__all2 @ ( c_fequal @ SV946 ) @ SV136 @ SV562 @ SV946 @ SV946 )
= $false )
| ( ( SV136 = SV562 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2730]) ).
thf(3019,plain,
! [SV1367: $i,SV1209: $i,SV947: $i,SV563: $i,SV137: $i] :
( ( ! [SY3690: $i] :
( ( c_List_Ofoldl @ SV137 @ SV563 @ ( c_List_Olist_OCons @ SV947 @ SV1209 @ SV1367 ) @ SY3690 @ SV1367 )
= ( c_List_Ofoldl @ SV137 @ ( hAPP @ ( hAPP @ SV137 @ SV563 ) @ SV947 ) @ SV1209 @ SY3690 @ SV1367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2731]) ).
thf(3020,plain,
! [SV1210: $i,SV948: $i,SV564: $i,SV138: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV138 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1210 @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 ) @ SV138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2732]) ).
thf(3021,plain,
! [SV1368: $i,SV1211: $i,SV949: $i,SV565: $i,SV139: $i] :
( ( ! [SY3691: $i,SY3692: $i] :
( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SV565 @ SV949 @ SV1211 ) @ ( c_List_Oappend @ SV1368 @ SY3691 @ SY3692 ) @ SV1211 @ SY3692 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV949 @ SY3691 @ SV1211 @ SY3692 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV565 @ SV1368 @ SV1211 @ SY3692 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2733]) ).
thf(3022,plain,
! [SV952: $i,SV568: $i,SV142: $i] :
( ( ( hBOOL @ ( hAPP @ SV142 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV142 @ SV568 @ SV952 ) @ SV952 ) ) )
= $false )
| ( ( ( c_List_OdropWhile @ SV142 @ SV568 @ SV952 )
= ( c_List_Olist_ONil @ SV952 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2736]) ).
thf(3023,plain,
! [SV146: $i,SV954: $i,SV572: $i] :
( ( ( c_List_Odistinct @ SV572 @ SV954 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Ofilter @ SV146 @ SV572 @ SV954 ) @ SV954 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(3024,plain,
! [SV1369: $i,SV1214: $i,SV955: $i,SV573: $i,SV147: $i] :
( ( ( c_List_Omap @ SV147 @ ( c_List_Olist_OCons @ SV573 @ SV955 @ SV1214 ) @ SV1214 @ SV1369 )
= ( c_List_Olist_OCons @ ( hAPP @ SV147 @ SV573 ) @ ( c_List_Omap @ SV147 @ SV955 @ SV1214 @ SV1369 ) @ SV1369 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2740]) ).
thf(3025,plain,
! [SV1370: $i,SV1215: $i,SV956: $i,SV574: $i,SV148: $i] :
( ( ( c_List_Olist_OCons @ ( hAPP @ SV148 @ SV574 ) @ ( c_List_Omap @ SV148 @ SV956 @ SV1215 @ SV1370 ) @ SV1370 )
= ( c_List_Omap @ SV148 @ ( c_List_Olist_OCons @ SV574 @ SV956 @ SV1215 ) @ SV1215 @ SV1370 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2741]) ).
thf(3026,plain,
! [SV1371: $i,SV1216: $i,SV957: $i,SV575: $i,SV149: $i] :
( ( ( c_List_Omap @ SV149 @ ( c_List_Olist_OCons @ SV575 @ SV957 @ SV1216 ) @ SV1216 @ SV1371 )
= ( c_List_Olist_OCons @ ( hAPP @ SV149 @ SV575 ) @ ( c_List_Omap @ SV149 @ SV957 @ SV1216 @ SV1371 ) @ SV1371 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2742]) ).
thf(3027,plain,
! [SV1372: $i,SV1217: $i,SV958: $i,SV576: $i,SV150: $i] :
( ( ! [SY3693: $i] :
( ( c_List_Olist_Olist__case @ SV150 @ SV576 @ ( c_List_Olist_OCons @ SV958 @ SV1217 @ SV1372 ) @ SY3693 @ SV1372 )
= ( hAPP @ ( hAPP @ SV576 @ SV958 ) @ SV1217 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2743]) ).
thf(3028,plain,
! [SV1373: $i,SV1218: $i,SV960: $i,SV578: $i,SV152: $i] :
( ( ! [SY3694: $i,SY3695: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV152 @ SV578 ) @ SV960 ) )
| ~ ( c_List_Olist__all2 @ SV152 @ ( c_List_Olist_OCons @ SV578 @ SV1218 @ SV1373 ) @ ( c_List_Olist_OCons @ SV960 @ SY3694 @ SY3695 ) @ SV1373 @ SY3695 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2744]) ).
thf(3029,plain,
! [SV1222: $i,SV965: $i,SV583: $i,SV157: $i] :
( ( ( c_List_Odistinct @ ( c_List_Omap @ SV157 @ SV583 @ SV965 @ SV1222 ) @ SV1222 )
= $true )
| ( ( ~ ( c_Fun_Oinj__on @ SV157 @ ( c_List_Oset @ SV583 @ SV965 ) @ SV965 @ SV1222 )
| ~ ( c_List_Odistinct @ SV583 @ SV965 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2749]) ).
thf(3030,plain,
! [SV967: $i,SV585: $i,SV159: $i] :
( ( ( class_Orderings_Olinorder @ SV159 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ SV585 @ SV159 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV967 @ SV585 @ SV159 ) @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2750]) ).
thf(3031,plain,
! [SV160: $i,SV968: $i,SV586: $i] :
( ( ( c_List_Odistinct @ SV586 @ SV968 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Odrop @ SV160 @ SV586 @ SV968 ) @ SV968 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2751]) ).
thf(3032,plain,
! [SV1223: $i,SV969: $i,SV587: $i,SV161: $i] :
( ( ( c_List_Olist__all @ SV161 @ SV587 @ SV969 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV161 @ ( c_List_Olist_OCons @ SV1223 @ SV587 @ SV969 ) @ SV969 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2752]) ).
thf(3033,plain,
! [SV1224: $i,SV970: $i,SV589: $i,SV163: $i] :
( ( ( hBOOL @ ( hAPP @ SV163 @ SV589 ) )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV163 @ ( c_List_Olist_OCons @ SV589 @ SV970 @ SV1224 ) @ SV1224 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2754]) ).
thf(3034,plain,
! [SV1374: $i,SV1226: $i,SV975: $i,SV594: $i,SV168: $i] :
( ( ! [SY3696: $i] :
( ( c_List_Omap @ SV168 @ ( c_List_Olist__update @ SV594 @ SV975 @ SV1226 @ SV1374 ) @ SV1374 @ SY3696 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV168 @ SV594 @ SV1374 @ SY3696 ) @ SV975 @ ( hAPP @ SV168 @ SV1226 ) @ SY3696 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2757]) ).
thf(3035,plain,
! [SV1375: $i,SV1227: $i,SV976: $i,SV595: $i,SV169: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV169 @ SV595 @ SV976 @ ( c_Message_Oagent_OFriend @ SV1227 ) @ SV1375 )
= ( hAPP @ SV595 @ SV1227 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2758]) ).
thf(3036,plain,
! [SV1228: $i,SV977: $i,SV596: $i,SV170: $i] :
( ( ( c_List_Olist__all @ SV170 @ ( c_List_Oappend @ SV596 @ SV977 @ SV1228 ) @ SV1228 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV170 @ SV977 @ SV1228 )
| ~ ( c_List_Olist__all @ SV170 @ SV596 @ SV1228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2759]) ).
thf(3037,plain,
! [SV172: $i,SV978: $i,SV598: $i] :
( ( ( c_List_Odistinct @ SV598 @ SV978 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Otake @ SV172 @ SV598 @ SV978 ) @ SV978 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2761]) ).
thf(3038,plain,
! [SV1376: $i,SV1229: $i,SV980: $i,SV600: $i,SV174: $i] :
( ( ! [SY3697: $i] :
( ( c_List_Ofoldl @ SV174 @ SV600 @ ( c_List_Oappend @ SV980 @ SV1229 @ SV1376 ) @ SY3697 @ SV1376 )
= ( c_List_Ofoldl @ SV174 @ ( c_List_Ofoldl @ SV174 @ SV600 @ SV980 @ SY3697 @ SV1376 ) @ SV1229 @ SY3697 @ SV1376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2762]) ).
thf(3039,plain,
! [SV601: $i,SV175: $i,SV981: $i] :
( ( ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV981 @ SV175 @ SV601 ) @ SV601 )
= $false )
| ( ( c_List_Odistinct @ SV175 @ SV601 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2763]) ).
thf(3040,plain,
! [SV1231: $i,SV984: $i,SV605: $i,SV181: $i] :
( ( ( SV181
= ( c_List_Olist_ONil @ SV605 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV984 @ SV181 @ ( c_List_Olist_ONil @ SV1231 ) @ SV605 @ SV1231 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2766]) ).
thf(3041,plain,
! [SV1232: $i,SV985: $i,SV606: $i,SV182: $i] :
( ( ( SV182
= ( c_List_Olist_ONil @ SV606 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV985 @ ( c_List_Olist_ONil @ SV1232 ) @ SV182 @ SV1232 @ SV606 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2767]) ).
thf(3042,plain,
! [SV1233: $i,SV986: $i,SV607: $i,SV184: $i] :
( ( ( ( c_List_Ofilter @ SV184 @ ( c_List_Olist_OCons @ SV607 @ SV986 @ SV1233 ) @ SV1233 )
= ( c_List_Olist_OCons @ SV607 @ ( c_List_Ofilter @ SV184 @ SV986 @ SV1233 ) @ SV1233 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV184 @ SV607 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2768]) ).
thf(3043,plain,
! [SV1234: $i,SV987: $i,SV608: $i,SV185: $i] :
( ( ( c_List_Olistsp @ SV185 @ SV608 @ SV987 )
= $true )
| ( ( ~ ( c_List_Olistsp @ SV185 @ ( c_List_Oappend @ SV608 @ SV1234 @ SV987 ) @ SV987 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2769]) ).
thf(3044,plain,
! [SV1235: $i,SV988: $i,SV609: $i,SV186: $i] :
( ( ( c_List_Olistsp @ SV186 @ SV609 @ SV988 )
= $true )
| ( ( ~ ( c_List_Olistsp @ SV186 @ ( c_List_Oappend @ SV1235 @ SV609 @ SV988 ) @ SV988 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2770]) ).
thf(3045,plain,
! [SV989: $i,SV610: $i,SV187: $i] :
( ( ( class_Orderings_Olinorder @ SV187 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SV610 @ SV989 @ SV187 ) @ SV187 )
| ~ ( c_List_Olinorder__class_Osorted @ SV989 @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2771]) ).
thf(3046,plain,
! [SV1377: $i,SV1236: $i,SV990: $i,SV611: $i,SV188: $i] :
( ( ! [SY3698: $i,SY3699: $i] :
( ( c_List_Olist__all2 @ SV188 @ SV611 @ SV990 @ SV1236 @ SV1377 )
| ~ ( c_List_Olist__all2 @ SV188 @ ( c_List_Olist_OCons @ SY3698 @ SV611 @ SV1236 ) @ ( c_List_Olist_OCons @ SY3699 @ SV990 @ SV1377 ) @ SV1236 @ SV1377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2772]) ).
thf(3047,plain,
! [SV1378: $i,SV1237: $i,SV991: $i,SV612: $i,SV189: $i] :
( ( ( c_List_Orotate @ SV189 @ ( c_List_Omap @ SV612 @ SV991 @ SV1237 @ SV1378 ) @ SV1378 )
= ( c_List_Omap @ SV612 @ ( c_List_Orotate @ SV189 @ SV991 @ SV1237 ) @ SV1237 @ SV1378 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2773]) ).
thf(3048,plain,
! [SV613: $i,SV992: $i,SV190: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oappend @ SV190 @ SV992 @ SV613 ) @ SV613 )
= $false )
| ( ( c_List_Odistinct @ SV190 @ SV613 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2774]) ).
thf(3049,plain,
! [SV614: $i,SV191: $i,SV993: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oappend @ SV993 @ SV191 @ SV614 ) @ SV614 )
= $false )
| ( ( c_List_Odistinct @ SV191 @ SV614 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2775]) ).
thf(3050,plain,
! [SV194: $i,SV996: $i,SV617: $i] :
( ( ( c_List_Odistinct @ SV617 @ SV996 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV194 @ SV617 @ SV996 ) @ SV996 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2777]) ).
thf(3051,plain,
! [SV1379: $i,SV1239: $i,SV997: $i,SV618: $i,SV195: $i] :
( ( ( c_List_Omap @ SV195 @ ( c_List_Oreplicate @ SV618 @ SV997 @ SV1239 ) @ SV1239 @ SV1379 )
= ( c_List_Oreplicate @ SV618 @ ( hAPP @ SV195 @ SV997 ) @ SV1379 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2778]) ).
thf(3052,plain,
! [SV1380: $i,SV1240: $i,SV998: $i,SV619: $i,SV196: $i] :
( ( ! [SY3700: $i] :
( ( c_List_Ofoldr @ SV196 @ ( c_List_Oappend @ SV619 @ SV998 @ SV1240 ) @ SV1380 @ SV1240 @ SY3700 )
= ( c_List_Ofoldr @ SV196 @ SV619 @ ( c_List_Ofoldr @ SV196 @ SV998 @ SV1380 @ SV1240 @ SY3700 ) @ SV1240 @ SY3700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2779]) ).
thf(3053,plain,
! [SV1241: $i,SV999: $i,SV620: $i,SV197: $i] :
( ( ( c_List_Olist__ex @ SV197 @ ( c_List_Olist_OCons @ SV620 @ SV999 @ SV1241 ) @ SV1241 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV197 @ SV620 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2780]) ).
thf(3054,plain,
! [SV1381: $i,SV1242: $i,SV1000: $i,SV621: $i,SV198: $i] :
( ( ! [SY3701: $i,SY3702: $i] :
( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SV621 @ SV1000 @ SV1242 ) @ ( c_List_Olist_OCons @ SV1381 @ SY3701 @ SY3702 ) @ SV1242 @ SY3702 )
| ~ ( c_List_Olist__all2 @ SV198 @ SV1000 @ SY3701 @ SV1242 @ SY3702 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SV621 ) @ SV1381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2781]) ).
thf(3055,plain,
! [SV1382: $i,SV1243: $i,SV1001: $i,SV622: $i,SV199: $i] :
( ( ! [SY3703: $i,SY3704: $i] :
( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SV622 @ SV1001 @ SV1243 ) @ ( c_List_Olist_OCons @ SV1382 @ SY3703 @ SY3704 ) @ SV1243 @ SY3704 )
| ~ ( c_List_Olist__all2 @ SV199 @ SV1001 @ SY3703 @ SV1243 @ SY3704 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SV622 ) @ SV1382 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2782]) ).
thf(3056,plain,
! [SV1383: $i,SV1244: $i,SV1002: $i,SV623: $i,SV200: $i] :
( ( ! [SY3705: $i,SY3706: $i] :
( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SV623 @ SV1002 @ SV1244 ) @ ( c_List_Olist_OCons @ SV1383 @ SY3705 @ SY3706 ) @ SV1244 @ SY3706 )
| ~ ( c_List_Olist__all2 @ SV200 @ SV1002 @ SY3705 @ SV1244 @ SY3706 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SV623 ) @ SV1383 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2783]) ).
thf(3057,plain,
! [SV1245: $i,SV1003: $i,SV624: $i,SV201: $i] :
( ( ( c_List_Olist__ex @ SV201 @ ( c_List_Olist_OCons @ SV624 @ SV1003 @ SV1245 ) @ SV1245 )
= $true )
| ( ( ~ ( c_List_Olist__ex @ SV201 @ SV1003 @ SV1245 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2784]) ).
thf(3058,plain,
! [SV1246: $i,SV1004: $i,SV625: $i,SV202: $i] :
( ( ( c_List_Olist__ex @ SV202 @ SV625 @ SV1004 )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV202 @ SV1246 ) )
| ~ ( c_List_Olist__ex @ SV202 @ ( c_List_Olist_OCons @ SV1246 @ SV625 @ SV1004 ) @ SV1004 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2785]) ).
thf(3059,plain,
! [SV1384: $i,SV1247: $i,SV1005: $i,SV626: $i,SV203: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV203 @ ( tc_List_Olist @ SV626 ) )
= ( c_Nat_Osize__class_Osize @ SV1005 @ ( tc_List_Olist @ SV1247 ) ) )
| ~ ( c_List_Olist__all2 @ SV1384 @ SV203 @ SV1005 @ SV626 @ SV1247 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2786]) ).
thf(3060,plain,
! [SV1248: $i,SV1006: $i,SV627: $i,SV204: $i] :
( ( ( ( c_List_Ofilter @ SV204 @ ( c_List_Oreplicate @ SV627 @ SV1006 @ SV1248 ) @ SV1248 )
= ( c_List_Oreplicate @ SV627 @ SV1006 @ SV1248 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV204 @ SV1006 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2787]) ).
thf(3061,plain,
! [SV1385: $i,SV1249: $i,SV1007: $i,SV628: $i,SV205: $i] :
( ( ! [SY3707: $i] :
( ( c_List_Olistrelp @ SV205 @ ( c_List_Olist_OCons @ SV628 @ SV1007 @ SV1249 ) @ ( c_List_Olist_OCons @ SV1385 @ SY3707 @ SV1249 ) @ SV1249 )
| ~ ( c_List_Olistrelp @ SV205 @ SV1007 @ SY3707 @ SV1249 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV205 @ SV628 ) @ SV1385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2788]) ).
thf(3062,plain,
! [SV1250: $i,SV1008: $i,SV629: $i,SV206: $i] :
( ( ( ( c_List_Oremove1 @ SV206 @ ( c_List_Olist_OCons @ SV629 @ SV1008 @ SV1250 ) @ SV1250 )
= ( c_List_Olist_OCons @ SV629 @ ( c_List_Oremove1 @ SV206 @ SV1008 @ SV1250 ) @ SV1250 ) )
= $true )
| ( ( SV206 = SV629 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2789]) ).
thf(3063,plain,
! [SV630: $i,SV1009: $i,SV207: $i] :
( ( ( c_List_Odistinct @ SV207 @ SV1009 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Osublist @ SV207 @ SV630 @ SV1009 ) @ SV1009 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2790]) ).
thf(3064,plain,
! [SV208: $i,SV1010: $i,SV631: $i] :
( ( ( c_List_Odistinct @ SV631 @ SV1010 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV208 @ SV631 @ SV1010 ) @ SV1010 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2791]) ).
thf(3065,plain,
! [SV1251: $i,SV1011: $i,SV632: $i,SV209: $i] :
( ( ( ( c_List_OdropWhile @ SV209 @ ( c_List_Olist_OCons @ SV632 @ SV1011 @ SV1251 ) @ SV1251 )
= ( c_List_OdropWhile @ SV209 @ SV1011 @ SV1251 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV209 @ SV632 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2792]) ).
thf(3066,plain,
! [SV1252: $i,SV1014: $i,SV636: $i,SV213: $i] :
( ( ( ( c_List_OdropWhile @ SV213 @ ( c_List_Olist_OCons @ SV636 @ SV1014 @ SV1252 ) @ SV1252 )
= ( c_List_Olist_OCons @ SV636 @ SV1014 @ SV1252 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV213 @ SV636 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2794]) ).
thf(3067,plain,
! [SV1386: $i,SV1253: $i,SV1015: $i,SV637: $i,SV214: $i] :
( ( ( c_List_Omap @ SV214 @ ( c_List_Oappend @ SV637 @ SV1015 @ SV1253 ) @ SV1253 @ SV1386 )
= ( c_List_Oappend @ ( c_List_Omap @ SV214 @ SV637 @ SV1253 @ SV1386 ) @ ( c_List_Omap @ SV214 @ SV1015 @ SV1253 @ SV1386 ) @ SV1386 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2795]) ).
thf(3068,plain,
! [SV1254: $i,SV1016: $i,SV638: $i,SV215: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV215 @ ( c_Message_Oagent_Oagent__case @ SV638 @ SV1016 @ SV1254 @ c_Message_Oagent_OServer @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV215 @ SV638 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2796]) ).
thf(3069,plain,
! [SV1387: $i,SV1256: $i,SV1018: $i,SV640: $i,SV217: $i] :
( ( ! [SY3708: $i] :
( ( c_List_Olist__all2 @ SV217 @ ( c_List_Odrop @ SV640 @ SV1018 @ SV1256 ) @ ( c_List_Odrop @ SV640 @ SV1387 @ SY3708 ) @ SV1256 @ SY3708 )
| ~ ( c_List_Olist__all2 @ SV217 @ SV1018 @ SV1387 @ SV1256 @ SY3708 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2798]) ).
thf(3070,plain,
! [SV1257: $i,SV1019: $i,SV642: $i,SV219: $i] :
( ( ( ( c_List_Oremove1 @ SV219 @ ( c_List_Ofilter @ SV642 @ SV1019 @ SV1257 ) @ SV1257 )
= ( c_List_Ofilter @ SV642 @ SV1019 @ SV1257 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV642 @ SV219 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2799]) ).
thf(3071,plain,
! [SV1258: $i,SV1020: $i,SV643: $i,SV220: $i] :
( ( ( ( c_List_Ofilter @ SV220 @ ( c_List_Oreplicate @ SV643 @ SV1020 @ SV1258 ) @ SV1258 )
= ( c_List_Olist_ONil @ SV1258 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV220 @ SV1020 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2800]) ).
thf(3072,plain,
! [SV1388: $i,SV1259: $i,SV1021: $i,SV644: $i,SV221: $i] :
( ( ! [SY3709: $i] :
( ( c_List_Olist_Olist__rec @ SV221 @ SV644 @ ( c_List_Olist_OCons @ SV1021 @ SV1259 @ SV1388 ) @ SY3709 @ SV1388 )
= ( hAPP @ ( hAPP @ ( hAPP @ SV644 @ SV1021 ) @ SV1259 ) @ ( c_List_Olist_Olist__rec @ SV221 @ SV644 @ SV1259 @ SY3709 @ SV1388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2801]) ).
thf(3073,plain,
! [SV1260: $i,SV1023: $i,SV646: $i,SV223: $i] :
( ( ( c_List_Odistinct @ SV223 @ SV646 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Omap @ SV1023 @ SV223 @ SV646 @ SV1260 ) @ SV1260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2802]) ).
thf(3074,plain,
! [SV649: $i,SV226: $i,SV1024: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate @ SV1024 @ SV226 @ SV649 ) @ SV649 )
= $false )
| ( ( c_List_Odistinct @ SV226 @ SV649 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2803]) ).
thf(3075,plain,
! [SV227: $i,SV1025: $i,SV650: $i] :
( ( ( c_List_Odistinct @ SV650 @ SV1025 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Orotate @ SV227 @ SV650 @ SV1025 ) @ SV1025 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2804]) ).
thf(3076,plain,
! [SV1261: $i,SV1026: $i,SV651: $i,SV228: $i] :
( ( ( c_List_Olistsp @ SV228 @ ( c_List_Oappend @ SV651 @ SV1026 @ SV1261 ) @ SV1261 )
= $true )
| ( ( ~ ( c_List_Olistsp @ SV228 @ SV1026 @ SV1261 )
| ~ ( c_List_Olistsp @ SV228 @ SV651 @ SV1261 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2805]) ).
thf(3077,plain,
! [SV1389: $i,SV1262: $i,SV1028: $i,SV653: $i,SV230: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV230 @ ( c_Message_Oagent_Oagent__case @ SV653 @ SV1028 @ SV1262 @ ( c_Message_Oagent_OFriend @ SV1389 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV230 @ ( hAPP @ SV1028 @ SV1389 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2806]) ).
thf(3078,plain,
! [SV1390: $i,SV1263: $i,SV1029: $i,SV654: $i,SV231: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV231 @ ( c_Message_Oagent_Oagent__case @ SV654 @ SV1029 @ SV1263 @ ( c_Message_Oagent_OFriend @ SV1390 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV231 @ ( hAPP @ SV1029 @ SV1390 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2807]) ).
thf(3079,plain,
! [SV1391: $i,SV1264: $i,SV1031: $i,SV656: $i,SV233: $i] :
( ( ! [SY3710: $i] :
( ( c_List_Ofoldr @ SV233 @ ( c_List_Olist_OCons @ SV656 @ SV1031 @ SV1264 ) @ SV1391 @ SV1264 @ SY3710 )
= ( hAPP @ ( hAPP @ SV233 @ SV656 ) @ ( c_List_Ofoldr @ SV233 @ SV1031 @ SV1391 @ SV1264 @ SY3710 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2809]) ).
thf(3080,plain,
! [SV1392: $i,SV1265: $i,SV1033: $i,SV658: $i,SV235: $i] :
( ( ( c_Message_Oagent_Oagent__rec @ SV235 @ SV658 @ SV1033 @ ( c_Message_Oagent_OFriend @ SV1265 ) @ SV1392 )
= ( hAPP @ SV658 @ SV1265 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2810]) ).
thf(3081,plain,
! [SV1393: $i,SV1266: $i,SV1034: $i,SV659: $i,SV236: $i] :
( ( ( c_List_Olist__update @ ( c_List_Oappend @ SV236 @ ( c_List_Olist_OCons @ SV659 @ SV1034 @ SV1266 ) @ SV1266 ) @ ( c_Nat_Osize__class_Osize @ SV236 @ ( tc_List_Olist @ SV1266 ) ) @ SV1393 @ SV1266 )
= ( c_List_Oappend @ SV236 @ ( c_List_Olist_OCons @ SV1393 @ SV1034 @ SV1266 ) @ SV1266 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2811]) ).
thf(3082,plain,
! [SV1036: $i,SV662: $i,SV239: $i] :
( ( ( class_Orderings_Olinorder @ SV239 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ SV662 @ SV239 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV662 @ SV1036 @ SV239 ) @ SV239 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2812]) ).
thf(3083,plain,
! [SV1037: $i,SV663: $i,SV240: $i] :
( ( ( class_Orderings_Olinorder @ SV240 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ SV663 @ SV240 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1037 @ SV663 @ SV240 ) @ SV240 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2813]) ).
thf(3084,plain,
! [SV1267: $i,SV1038: $i,SV664: $i,SV241: $i] :
( ( ( c_List_Olist__all @ SV241 @ ( c_List_Olist_OCons @ SV664 @ SV1038 @ SV1267 ) @ SV1267 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV241 @ SV1038 @ SV1267 )
| ~ ( hBOOL @ ( hAPP @ SV241 @ SV664 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2814]) ).
thf(3085,plain,
! [SV1394: $i,SV1268: $i,SV1039: $i,SV665: $i,SV242: $i] :
( ( ! [SY3711: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SV665 @ SV1039 @ SV1268 ) @ SV1394 @ SY3711 @ SV1268 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SV1394 @ SY3711 @ SV1268 ) @ SV665 @ SV1039 @ SV1268 ) )
| ( SV665 = SV1394 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2815]) ).
thf(3086,plain,
! [SV243: $i,SV666: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV666 @ SV243 ) @ SV243 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV666 @ SV243 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2816]) ).
thf(3087,plain,
! [SV1395: $i,SV1270: $i,SV1041: $i,SV668: $i,SV245: $i] :
( ( ( c_List_Odrop @ SV245 @ ( c_List_Omap @ SV668 @ SV1041 @ SV1270 @ SV1395 ) @ SV1395 )
= ( c_List_Omap @ SV668 @ ( c_List_Odrop @ SV245 @ SV1041 @ SV1270 ) @ SV1270 @ SV1395 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2818]) ).
thf(3088,plain,
! [SV1272: $i,SV1043: $i,SV671: $i,SV248: $i] :
( ( ( ( c_List_Ofilter @ SV248 @ ( c_List_Olist_OCons @ SV671 @ SV1043 @ SV1272 ) @ SV1272 )
= ( c_List_Ofilter @ SV248 @ SV1043 @ SV1272 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV248 @ SV671 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2820]) ).
thf(3089,plain,
! [SV1273: $i,SV1045: $i,SV674: $i,SV251: $i] :
( ( ( c_List_Olist__all @ SV251 @ SV674 @ SV1045 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV251 @ ( c_List_Oappend @ SV674 @ SV1273 @ SV1045 ) @ SV1045 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2821]) ).
thf(3090,plain,
! [SV1274: $i,SV1046: $i,SV675: $i,SV252: $i] :
( ( ( c_List_Olist__all @ SV252 @ SV675 @ SV1046 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV252 @ ( c_List_Oappend @ SV1274 @ SV675 @ SV1046 ) @ SV1046 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2822]) ).
thf(3091,plain,
! [SV1396: $i,SV1275: $i,SV1048: $i,SV677: $i,SV254: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV254 @ ( c_List_Olist_Olist__case @ SV677 @ SV1048 @ ( c_List_Olist_OCons @ SV1275 @ SV1396 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV254 @ ( hAPP @ ( hAPP @ SV1048 @ SV1275 ) @ SV1396 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2823]) ).
thf(3092,plain,
! [SV1397: $i,SV1276: $i,SV1049: $i,SV678: $i,SV255: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV255 @ ( c_List_Olist_Olist__case @ SV678 @ SV1049 @ ( c_List_Olist_OCons @ SV1276 @ SV1397 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV255 @ ( hAPP @ ( hAPP @ SV1049 @ SV1276 ) @ SV1397 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2824]) ).
thf(3093,plain,
! [SV1050: $i,SV679: $i,SV256: $i] :
( ( ( class_Orderings_Olinorder @ SV256 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV679 @ SV1050 @ SV256 ) @ SV256 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1050 @ SV256 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2825]) ).
thf(3094,plain,
! [SV1398: $i,SV1277: $i,SV1051: $i,SV680: $i,SV257: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV257 @ SV680 @ SV1051 @ SV1277 ) @ SV680 @ SV1398 @ SV1277 )
= ( c_List_Olist__update @ SV257 @ SV680 @ SV1398 @ SV1277 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2826]) ).
thf(3095,plain,
! [SV1056: $i,SV686: $i,SV263: $i] :
( ( ( class_Orderings_Olinorder @ SV263 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV686 @ SV1056 @ SV263 ) @ SV263 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1056 @ SV263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2831]) ).
thf(3096,plain,
! [SV688: $i,SV265: $i] :
( ( ( hBOOL @ ( hAPP @ SV265 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV265 @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV265 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV265 @ SV688 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2833]) ).
thf(3097,plain,
! [SV690: $i,SV268: $i] :
( ( ( hBOOL @ ( hAPP @ SV268 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV268 @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV268 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV268 @ SV690 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2834]) ).
thf(3098,plain,
! [SV698: $i,SV276: $i] :
( ( ( hBOOL @ ( hAPP @ SV276 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV276 @ ( v_sko__List__Xlast__Xinduct__2 @ SV276 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV276 @ SV698 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2835]) ).
thf(3099,plain,
! [SV700: $i,SV278: $i] :
( ( ( hBOOL @ ( hAPP @ SV278 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV278 @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV278 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV278 @ SV700 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2836]) ).
thf(3100,plain,
! [SV702: $i,SV280: $i] :
( ( ( hBOOL @ ( hAPP @ SV280 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV280 @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV280 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV280 @ SV702 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2837]) ).
thf(3101,plain,
! [SV703: $i,SV281: $i] :
( ( ( hBOOL @ ( hAPP @ SV281 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV281 @ ( v_sko__List__Xfoldl__Xinduct__2 @ SV281 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV281 @ SV703 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(3102,plain,
! [SV1058: $i,SV706: $i,SV286: $i] :
( ( ( hBOOL @ ( hAPP @ SV286 @ ( c_List_Olist_Olist__case @ SV706 @ SV1058 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV286 @ SV706 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(3103,plain,
! [SV708: $i,SV288: $i] :
( ( ( hBOOL @ ( hAPP @ SV288 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV288 @ ( v_sko__List__Xzip__Xinduct__2 @ SV288 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV288 @ SV708 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2841]) ).
thf(3104,plain,
! [SV711: $i,SV291: $i] :
( ( ( hBOOL @ ( hAPP @ SV291 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV291 @ ( v_sko__List__Xlistset__Xinduct__2 @ SV291 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV291 @ SV711 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2842]) ).
thf(3105,plain,
! [SV713: $i,SV293: $i] :
( ( ( hBOOL @ ( hAPP @ SV293 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV293 @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV293 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV293 @ SV713 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2844]) ).
thf(3106,plain,
! [SV714: $i,SV294: $i] :
( ( ( hBOOL @ ( hAPP @ SV294 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV294 @ ( v_sko__List__Xtake__Xinduct__2 @ SV294 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV294 @ SV714 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2845]) ).
thf(3107,plain,
! [SV720: $i,SV301: $i] :
( ( ( hBOOL @ ( hAPP @ SV301 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV301 @ ( v_sko__List__Xconcat__Xinduct__2 @ SV301 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV301 @ SV720 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2846]) ).
thf(3108,plain,
! [SV722: $i,SV303: $i] :
( ( ( hBOOL @ ( hAPP @ SV303 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV303 @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV303 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV303 @ SV722 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2847]) ).
thf(3109,plain,
! [SV725: $i,SV306: $i] :
( ( ( hBOOL @ ( hAPP @ SV306 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV306 @ ( v_sko__List__Xremove1__Xinduct__2 @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV306 @ SV725 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2850]) ).
thf(3110,plain,
! [SV728: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ SV309 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV309 @ ( v_sko__List__Xlist__Xinduct__2 @ SV309 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV309 @ SV728 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2852]) ).
thf(3111,plain,
! [SV731: $i,SV313: $i] :
( ( ( hBOOL @ ( hAPP @ SV313 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV313 @ ( v_sko__List__Xmap__Xinduct__2 @ SV313 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV313 @ SV731 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2853]) ).
thf(3112,plain,
! [SV1290: $i,SV1074: $i,SV738: $i,SV320: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_Message_Oagent_Oagent__case @ SV738 @ SV1074 @ SV1290 @ c_Message_Oagent_OSpy @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV320 @ SV1290 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2856]) ).
thf(3113,plain,
! [SV742: $i,SV1077: $i,SV324: $i] :
( ( ( c_List_Olist__all @ SV324 @ SV1077 @ SV742 )
= $false )
| ( ( c_List_Olist__all @ SV324 @ ( hAPP @ ( c_List_Orev @ SV742 ) @ SV1077 ) @ SV742 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2857]) ).
thf(3114,plain,
! [SV743: $i,SV1078: $i,SV325: $i] :
( ( ( c_List_Olist__all @ SV325 @ ( hAPP @ ( c_List_Orev @ SV1078 ) @ SV743 ) @ SV1078 )
= $false )
| ( ( c_List_Olist__all @ SV325 @ SV743 @ SV1078 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2858]) ).
thf(3115,plain,
! [SV1399: $i,SV1291: $i,SV1080: $i,SV747: $i,SV329: $i] :
( ( ( c_List_Olist__all2 @ SV329 @ ( hAPP @ ( c_List_Orev @ SV747 ) @ SV1080 ) @ ( hAPP @ ( c_List_Orev @ SV1291 ) @ SV1399 ) @ SV747 @ SV1291 )
| ~ ( c_List_Olist__all2 @ SV329 @ SV1080 @ SV1399 @ SV747 @ SV1291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2860]) ).
thf(3116,plain,
! [SV1400: $i,SV1292: $i,SV1081: $i,SV748: $i,SV330: $i] :
( ( ( c_List_Olist__all2 @ SV330 @ SV748 @ SV1081 @ SV1292 @ SV1400 )
| ~ ( c_List_Olist__all2 @ SV330 @ ( hAPP @ ( c_List_Orev @ SV1292 ) @ SV748 ) @ ( hAPP @ ( c_List_Orev @ SV1400 ) @ SV1081 ) @ SV1292 @ SV1400 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2861]) ).
thf(3117,plain,
! [SV1401: $i,SV1294: $i,SV1084: $i,SV754: $i,SV336: $i] :
( ( ( c_List_Olist__all2 @ SV336 @ ( hAPP @ ( c_List_Orev @ SV754 ) @ SV1084 ) @ SV1294 @ SV754 @ SV1401 )
| ~ ( c_List_Olist__all2 @ SV336 @ SV1084 @ ( hAPP @ ( c_List_Orev @ SV1401 ) @ SV1294 ) @ SV754 @ SV1401 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2865]) ).
thf(3118,plain,
! [SV1402: $i,SV1295: $i,SV1085: $i,SV755: $i,SV337: $i] :
( ( ( c_List_Olist__all2 @ SV337 @ SV755 @ ( hAPP @ ( c_List_Orev @ SV1085 ) @ SV1295 ) @ SV1402 @ SV1085 )
| ~ ( c_List_Olist__all2 @ SV337 @ ( hAPP @ ( c_List_Orev @ SV1402 ) @ SV755 ) @ SV1295 @ SV1402 @ SV1085 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2866]) ).
thf(3119,plain,
! [SV766: $i,SV351: $i,SV1087: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV1087 ) @ SV351 ) @ SV766 ) )
= $false )
| ( ( SV351 = SV766 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2870]) ).
thf(3120,plain,
! [SV1296: $i,SV1088: $i,SV767: $i,SV352: $i] :
( ( ( ( c_List_Omap @ SV352 @ SV767 @ SV1088 @ SV1296 )
!= ( c_List_Olist_ONil @ SV1296 ) )
= $true )
| ( ( SV767
= ( c_List_Olist_ONil @ SV1088 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2871]) ).
thf(3121,plain,
! [SV1403: $i,SV1297: $i,SV1089: $i,SV768: $i,SV353: $i] :
( ( ! [SY3712: $i,SY3713: $i] :
( ( ( hAPP @ SV353 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) )
!= ( hAPP @ SV1089 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SV1403 @ SV353 @ SY3712 @ SV768 @ SV1297 )
= ( c_Message_Oagent_Oagent__case @ SV1403 @ SV1089 @ SY3713 @ SV768 @ SV1297 ) )
| ( SV768 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2872]) ).
thf(3122,plain,
! [SV1404: $i,SV1298: $i,SV1090: $i,SV769: $i,SV354: $i] :
( ( ! [SY3714: $i,SY3715: $i,SY3716: $i] :
( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) )
!= ( hAPP @ SV1090 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) ) )
| ( SV769 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1404 @ SV354 @ SY3714 @ SV769 @ SV1298 )
= ( c_Message_Oagent_Oagent__case @ SY3715 @ SV1090 @ SY3716 @ SV769 @ SV1298 ) )
| ( SV769 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2873]) ).
thf(3123,plain,
! [SV1405: $i,SV1299: $i,SV1091: $i,SV770: $i,SV355: $i] :
( ( ! [SY3717: $i] :
( ( ( hAPP @ SV355 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SV1299 ) )
!= ( hAPP @ SV1091 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SV1299 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SV1405 @ SV355 @ SY3717 @ SV770 @ SV1299 )
= ( c_Message_Oagent_Oagent__case @ SV1405 @ SV1091 @ SY3717 @ SV770 @ SV1299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2874]) ).
thf(3124,plain,
! [SV1092: $i,SV771: $i,SV356: $i] :
( ( ( ( c_List_Oappend @ SV356 @ SV771 @ SV1092 )
= SV356 )
= $false )
| ( ( SV771
= ( c_List_Olist_ONil @ SV1092 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2875]) ).
thf(3125,plain,
! [SV1300: $i,SV1093: $i,SV773: $i,SV358: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SV1093 @ SV773 )
!= SV358 )
= $true )
| ( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV773 ) ) @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ tc_nat )
| ( ( c_List_Oappend @ SV1093 @ SV1300 @ SV773 )
= ( c_List_Oappend @ SV358 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SV1093 @ SV773 ) @ SV1300 @ SV773 ) @ SV773 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2877]) ).
thf(3126,plain,
! [SV1094: $i,SV774: $i,SV359: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV359 ) @ SV774 )
= ( c_List_Olist_OCons @ SV1094 @ ( c_List_Olist_ONil @ SV359 ) @ SV359 ) )
= $false )
| ( ( SV774
= ( c_List_Olist_OCons @ SV1094 @ ( c_List_Olist_ONil @ SV359 ) @ SV359 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2878]) ).
thf(3127,plain,
! [SV1096: $i,SV776: $i,SV361: $i] :
( ( ( ( c_List_Olist_ONil @ SV361 )
= ( c_List_Oappend @ SV776 @ SV1096 @ SV361 ) )
= $false )
| ( ( SV1096
= ( c_List_Olist_ONil @ SV361 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2880]) ).
thf(3128,plain,
! [SV1406: $i,SV1301: $i,SV1097: $i,SV777: $i,SV362: $i] :
( ( ( ( c_List_Oappend @ SV362 @ SV777 @ SV1097 )
!= ( c_List_Oappend @ SV1301 @ SV1406 @ SV1097 ) )
| ( SV777
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ SV1301 @ SV1097 ) @ SV1406 @ SV1097 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ ( c_Nat_Osize__class_Osize @ SV1301 @ ( tc_List_Olist @ SV1097 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2881]) ).
thf(3129,plain,
! [SV1098: $i,SV778: $i,SV363: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV363 ) @ SV778 )
= ( hAPP @ ( c_List_Orev @ SV363 ) @ SV1098 ) )
= $false )
| ( ( SV778 = SV1098 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2882]) ).
thf(3130,plain,
! [SV1099: $i,SV779: $i,SV364: $i] :
( ( ( ( c_List_Oappend @ SV364 @ SV779 @ SV1099 )
= SV779 )
= $false )
| ( ( SV364
= ( c_List_Olist_ONil @ SV1099 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2883]) ).
thf(3131,plain,
! [SV1100: $i,SV780: $i,SV365: $i] :
( ( ( ( c_List_Orotate @ SV365 @ SV780 @ SV1100 )
= ( c_List_Olist_ONil @ SV1100 ) )
= $false )
| ( ( SV780
= ( c_List_Olist_ONil @ SV1100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2884]) ).
thf(3132,plain,
! [SV1102: $i,SV783: $i,SV368: $i] :
( ( ( ( c_List_Oappend @ SV368 @ SV783 @ SV1102 )
= ( c_List_Olist_ONil @ SV1102 ) )
= $false )
| ( ( SV783
= ( c_List_Olist_ONil @ SV1102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2887]) ).
thf(3133,plain,
! [SV1103: $i,SV784: $i,SV370: $i] :
( ( ( SV370
= ( c_List_Oappend @ SV370 @ SV784 @ SV1103 ) )
= $false )
| ( ( SV784
= ( c_List_Olist_ONil @ SV1103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2888]) ).
thf(3134,plain,
! [SV1407: $i,SV1302: $i,SV1104: $i,SV785: $i,SV371: $i] :
( ( ( ( c_List_Oappend @ SV371 @ SV785 @ SV1104 )
!= ( c_List_Oappend @ SV1302 @ SV1407 @ SV1104 ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1302 @ ( tc_List_Olist @ SV1104 ) ) @ SV371 @ SV1104 )
= SV1302 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV371 @ ( tc_List_Olist @ SV1104 ) ) @ ( c_Nat_Osize__class_Osize @ SV1302 @ ( tc_List_Olist @ SV1104 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2889]) ).
thf(3135,plain,
! [SV1303: $i,SV1106: $i,SV787: $i,SV374: $i] :
( ( ( ( c_List_Oappend @ SV374 @ SV787 @ SV1106 )
!= ( c_List_Oappend @ SV374 @ SV1303 @ SV1106 ) )
= $true )
| ( ( SV787 = SV1303 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2891]) ).
thf(3136,plain,
! [SV1408: $i,SV1304: $i,SV1107: $i,SV788: $i,SV375: $i] :
( ( ( ( c_List_Omap @ SV375 @ SV788 @ SV1107 @ SV1304 )
!= ( c_List_Omap @ SV375 @ SV1408 @ SV1107 @ SV1304 ) )
| ( ( c_Nat_Osize__class_Osize @ SV788 @ ( tc_List_Olist @ SV1107 ) )
= ( c_Nat_Osize__class_Osize @ SV1408 @ ( tc_List_Olist @ SV1107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2892]) ).
thf(3137,plain,
! [SV1108: $i,SV789: $i,SV376: $i] :
( ( ( class_Orderings_Olinorder @ SV376 )
= $false )
| ( ( ( ( c_List_Oset @ SV789 @ SV376 )
!= ( c_List_Oset @ SV1108 @ SV376 ) )
| ~ ( c_List_Odistinct @ SV1108 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
| ~ ( c_List_Odistinct @ SV789 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2893]) ).
thf(3138,plain,
! [SV1409: $i,SV1305: $i,SV1109: $i,SV790: $i,SV377: $i] :
( ( ( ( c_List_Oappend @ SV377 @ SV790 @ SV1109 )
!= ( c_List_Oappend @ SV1305 @ SV1409 @ SV1109 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1305 @ ( tc_List_Olist @ SV1109 ) ) @ SV377 @ SV1109 ) @ SV790 @ SV1109 )
= SV1409 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV377 @ ( tc_List_Olist @ SV1109 ) ) @ ( c_Nat_Osize__class_Osize @ SV1305 @ ( tc_List_Olist @ SV1109 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2894]) ).
thf(3139,plain,
! [SV1410: $i,SV1306: $i,SV1110: $i,SV791: $i,SV378: $i] :
( ( ( ( c_List_Olist_OCons @ SV378 @ SV791 @ SV1110 )
!= ( c_List_Olist_OCons @ SV1306 @ SV1410 @ SV1110 ) )
| ( SV791 = SV1410 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2895]) ).
thf(3140,plain,
! [SV1111: $i,SV792: $i,SV379: $i] :
( ( ( SV379
= ( c_List_Oappend @ SV792 @ SV379 @ SV1111 ) )
= $false )
| ( ( SV792
= ( c_List_Olist_ONil @ SV1111 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2896]) ).
thf(3141,plain,
! [SV1411: $i,SV1307: $i,SV1112: $i,SV793: $i,SV380: $i] :
( ( ( ( c_List_Oreplicate @ SV380 @ SV793 @ SV1112 )
!= ( c_List_Oreplicate @ SV1307 @ SV1411 @ SV1112 ) )
| ( SV380 = SV1307 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2897]) ).
thf(3142,plain,
! [SV1412: $i,SV1308: $i,SV1113: $i,SV794: $i,SV381: $i] :
( ( ( c_Event_Oevent_OSays @ SV381 @ SV794 @ SV1113 )
!= ( c_Event_Oevent_OGets @ SV1308 @ SV1412 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2898]) ).
thf(3143,plain,
! [SV1309: $i,SV1114: $i,SV795: $i,SV382: $i] :
( ( ( ( c_List_Olist_ONil @ SV382 )
!= ( c_List_Omap @ SV795 @ SV1114 @ SV1309 @ SV382 ) )
= $true )
| ( ( SV1114
= ( c_List_Olist_ONil @ SV1309 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2899]) ).
thf(3144,plain,
! [SV1413: $i,SV1310: $i,SV1115: $i,SV797: $i,SV384: $i] :
( ( ! [SY3718: $i,SY3719: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
!= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SV1310 ) ) )
| ( c_List_Olist__all2 @ SV1413 @ ( c_List_Oappend @ SV384 @ SY3718 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SY3719 @ SV1310 ) @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SY3718 @ SY3719 @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SV384 @ SV1115 @ SV797 @ SV1310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2901]) ).
thf(3145,plain,
! [SV1116: $i,SV799: $i,SV386: $i] :
( ( ( ( c_List_Olist_ONil @ SV386 )
= ( c_List_Oappend @ SV799 @ SV1116 @ SV386 ) )
= $false )
| ( ( SV799
= ( c_List_Olist_ONil @ SV386 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2903]) ).
thf(3146,plain,
! [SV1414: $i,SV1311: $i,SV1117: $i,SV800: $i,SV387: $i] :
( ( ( ( c_List_Oappend @ SV387 @ ( c_List_Olist_OCons @ SV800 @ ( c_List_Olist_ONil @ SV1117 ) @ SV1117 ) @ SV1117 )
!= ( c_List_Oappend @ SV1311 @ ( c_List_Olist_OCons @ SV1414 @ ( c_List_Olist_ONil @ SV1117 ) @ SV1117 ) @ SV1117 ) )
| ( SV800 = SV1414 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2904]) ).
thf(3147,plain,
! [SV1118: $i,SV801: $i,SV388: $i] :
( ( ( ( c_List_Odrop @ SV388 @ SV801 @ SV1118 )
= ( c_List_Olist_ONil @ SV1118 ) )
= $false )
| ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV801 @ ( tc_List_Olist @ SV1118 ) ) @ SV388 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2905]) ).
thf(3148,plain,
! [SV1312: $i,SV1119: $i,SV802: $i,SV389: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
!= SV1312 )
= $true )
| ( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 )
!= SV389 )
| ( SV1119
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) )
| ( ( c_List_Oappend @ SV1119 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= ( c_List_Oappend @ SV389 @ SV1312 @ SV802 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2906]) ).
thf(3149,plain,
! [SV1120: $i,SV803: $i,SV390: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV390 @ SV803 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV1120 @ SV803 @ tc_nat ) )
= $false )
| ( ( ~ ( c_lessequals @ SV803 @ SV1120 @ tc_nat )
| ~ ( c_lessequals @ SV803 @ SV390 @ tc_nat )
| ( SV390 = SV1120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2907]) ).
thf(3150,plain,
! [SV1313: $i,SV1121: $i,SV804: $i,SV391: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV391 ) @ SV804 )
!= ( c_List_Olist_OCons @ SV1121 @ SV1313 @ SV391 ) )
= $true )
| ( ( SV804
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV391 ) @ SV1313 ) @ ( c_List_Olist_OCons @ SV1121 @ ( c_List_Olist_ONil @ SV391 ) @ SV391 ) @ SV391 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2908]) ).
thf(3151,plain,
! [SV1415: $i,SV1314: $i,SV1122: $i,SV805: $i,SV392: $i] :
( ( ( ( c_List_Olist_OCons @ SV392 @ SV805 @ SV1122 )
!= ( c_List_Ofilter @ SV1314 @ SV1415 @ SV1122 ) )
| ( hBOOL @ ( hAPP @ SV1314 @ SV392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2909]) ).
thf(3152,plain,
! [SV1315: $i,SV1124: $i,SV807: $i,SV394: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV394 @ SV807 )
!= ( c_Event_Oevent_OGets @ SV1124 @ SV1315 ) )
= $true )
| ( ( SV807 = SV1315 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2911]) ).
thf(3153,plain,
! [SV1416: $i,SV1316: $i,SV1125: $i,SV808: $i,SV395: $i] :
( ( ( ( c_List_Olist_OCons @ SV395 @ SV808 @ SV1125 )
!= ( c_List_Olist_OCons @ SV1316 @ SV1416 @ SV1125 ) )
| ( SV395 = SV1316 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2912]) ).
thf(3154,plain,
! [SV1317: $i,SV1126: $i,SV810: $i,SV397: $i] :
( ( ( SV397
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) )
= $true )
| ( ( ( ( c_List_Oappend @ SV397 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) @ SV1317 @ SV810 ) @ SV810 )
= ( c_List_Oappend @ SV1126 @ SV1317 @ SV810 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1126 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2914]) ).
thf(3155,plain,
! [SV1417: $i,SV1318: $i,SV1127: $i,SV811: $i,SV398: $i] :
( ( ! [SY3720: $i] :
( ( ( c_Event_Oevent_OSays @ SV398 @ SV811 @ SV1127 )
!= ( c_Event_Oevent_OSays @ SV1318 @ SV1417 @ SY3720 ) )
| ( SV811 = SV1417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2915]) ).
thf(3156,plain,
! [SV1418: $i,SV1319: $i,SV1128: $i,SV812: $i,SV399: $i] :
( ( ( ( c_List_Oappend @ SV399 @ SV812 @ SV1128 )
!= ( c_List_Oappend @ SV1319 @ SV1418 @ SV1128 ) )
| ( SV399
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ SV1319 @ SV1128 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ ( c_Nat_Osize__class_Osize @ SV1319 @ ( tc_List_Olist @ SV1128 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2916]) ).
thf(3157,plain,
! [SV1129: $i,SV813: $i,SV400: $i] :
( ( ( ( c_List_Olist_OCons @ SV400 @ ( c_List_Olist_ONil @ SV813 ) @ SV813 )
= ( hAPP @ ( c_List_Orev @ SV813 ) @ SV1129 ) )
= $false )
| ( ( SV1129
= ( c_List_Olist_OCons @ SV400 @ ( c_List_Olist_ONil @ SV813 ) @ SV813 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2917]) ).
thf(3158,plain,
! [SV1419: $i,SV1320: $i,SV1130: $i,SV814: $i,SV401: $i] :
( ( ! [SY3721: $i,SY3722: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SV814 ) )
!= ( c_Nat_Osize__class_Osize @ SV1130 @ ( tc_List_Olist @ SV1320 ) ) )
| ( c_List_Olist__all2 @ SV1419 @ SV401 @ SV1130 @ SV814 @ SV1320 )
| ~ ( c_List_Olist__all2 @ SV1419 @ ( c_List_Oappend @ SV401 @ SY3721 @ SV814 ) @ ( c_List_Oappend @ SV1130 @ SY3722 @ SV1320 ) @ SV814 @ SV1320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2918]) ).
thf(3159,plain,
! [SV1420: $i,SV1321: $i,SV1131: $i,SV815: $i,SV402: $i] :
( ( ! [SY3723: $i,SY3724: $i] :
( ( ( hAPP @ SV402 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) )
!= ( hAPP @ SV1131 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) ) )
| ( SV815 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1420 @ SV402 @ SY3723 @ SV815 @ SV1321 )
= ( c_Message_Oagent_Oagent__case @ SY3724 @ SV1131 @ SY3723 @ SV815 @ SV1321 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2919]) ).
thf(3160,plain,
! [SV1421: $i,SV1322: $i,SV1132: $i,SV816: $i,SV403: $i] :
( ( ! [SY3725: $i] :
( ( ( c_Event_Oevent_OSays @ SV403 @ SV816 @ SV1132 )
!= ( c_Event_Oevent_OSays @ SV1322 @ SV1421 @ SY3725 ) )
| ( SV403 = SV1322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2920]) ).
thf(3161,plain,
! [SV1323: $i,SV1133: $i,SV817: $i,SV404: $i] :
( ( ( ~ ( class_OrderedGroup_Oab__group__add @ SV404 ) )
= $true )
| ( ( ( ( c_HOL_Ominus__class_Ominus @ SV817 @ SV817 @ SV404 )
!= ( c_HOL_Ominus__class_Ominus @ SV1133 @ SV1323 @ SV404 ) )
| ( SV1133 = SV1323 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2921]) ).
thf(3162,plain,
! [SV1422: $i,SV1324: $i,SV1134: $i,SV818: $i,SV405: $i] :
( ( ( ( c_List_OdropWhile @ SV405 @ SV818 @ SV1134 )
!= ( c_List_Olist_OCons @ SV1324 @ SV1422 @ SV1134 ) )
| ~ ( hBOOL @ ( hAPP @ SV405 @ SV1324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2922]) ).
thf(3163,plain,
! [SV1423: $i,SV1325: $i,SV1135: $i,SV819: $i,SV406: $i] :
( ( ! [SY3726: $i] :
( ~ ( class_Divides_Oring__div @ SV406 )
| ( ( c_Divides_Odiv__class_Omod @ SV819 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1325 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ SV1423 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SY3726 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1423 @ SV819 @ SV406 ) @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3726 @ SV1325 @ SV406 ) @ SV1135 @ SV406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2923]) ).
thf(3164,plain,
! [SV1424: $i,SV1326: $i,SV1136: $i,SV820: $i,SV407: $i] :
( ( ! [SY3727: $i,SY3728: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SY3727 @ ( tc_List_Olist @ SV1326 ) ) )
| ( c_List_Olist__all2 @ SY3728 @ ( c_List_Oappend @ SY3727 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SY3728 @ SV1136 @ SV407 @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SY3728 @ SY3727 @ SV1424 @ SV1326 @ SV820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2924]) ).
thf(3165,plain,
! [SV1137: $i,SV821: $i,SV408: $i] :
( ( ( ( c_List_Oappend @ SV408 @ SV821 @ SV1137 )
= ( c_List_Olist_ONil @ SV1137 ) )
= $false )
| ( ( SV408
= ( c_List_Olist_ONil @ SV1137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2925]) ).
thf(3166,plain,
! [SV1327: $i,SV1138: $i,SV822: $i,SV409: $i] :
( ( ( ( c_List_Oappend @ SV409 @ SV822 @ SV1138 )
!= ( c_List_Oappend @ SV1327 @ SV822 @ SV1138 ) )
= $true )
| ( ( SV409 = SV1327 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2926]) ).
thf(3167,plain,
! [SV1425: $i,SV1328: $i,SV1139: $i,SV823: $i,SV410: $i] :
( ( ! [SY3729: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV410 @ ( tc_List_Olist @ SV823 ) )
!= ( c_Nat_Osize__class_Osize @ SV1139 @ ( tc_List_Olist @ SV1328 ) ) )
| ( ( c_Map_Omap__upds @ SV1425 @ ( c_List_Oappend @ SV410 @ SY3729 @ SV823 ) @ SV1139 @ SV823 @ SV1328 )
= ( c_Map_Omap__upds @ SV1425 @ SV410 @ SV1139 @ SV823 @ SV1328 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2927]) ).
thf(3168,plain,
! [SV1426: $i,SV1329: $i,SV1140: $i,SV824: $i,SV411: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV411 )
| ( ( c_HOL_Ominus__class_Ominus @ SV824 @ SV1140 @ SV411 )
!= ( c_HOL_Ominus__class_Ominus @ SV1329 @ SV1426 @ SV411 ) )
| ( c_lessequals @ SV1426 @ SV1329 @ SV411 )
| ~ ( c_lessequals @ SV1140 @ SV824 @ SV411 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2928]) ).
thf(3169,plain,
! [SV1330: $i,SV1141: $i,SV826: $i,SV413: $i] :
( ( ( ~ ( class_OrderedGroup_Oab__group__add @ SV413 ) )
= $true )
| ( ( ( ( c_HOL_Ominus__class_Ominus @ SV826 @ SV1141 @ SV413 )
!= ( c_HOL_Ominus__class_Ominus @ SV1330 @ SV1330 @ SV413 ) )
| ( SV826 = SV1141 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2930]) ).
thf(3170,plain,
! [SV1427: $i,SV1331: $i,SV1142: $i,SV827: $i,SV414: $i] :
( ( ! [SY3730: $i,SY3731: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SV827 ) )
!= ( c_Nat_Osize__class_Osize @ SV1142 @ ( tc_List_Olist @ SV1331 ) ) )
| ( c_List_Olist__all2 @ SV1427 @ SY3730 @ SY3731 @ SV827 @ SV1331 )
| ~ ( c_List_Olist__all2 @ SV1427 @ ( c_List_Oappend @ SV414 @ SY3730 @ SV827 ) @ ( c_List_Oappend @ SV1142 @ SY3731 @ SV1331 ) @ SV827 @ SV1331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2931]) ).
thf(3171,plain,
! [SV1428: $i,SV1332: $i,SV1144: $i,SV829: $i,SV417: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV417 )
| ( ( c_HOL_Ominus__class_Ominus @ SV829 @ SV1144 @ SV417 )
!= ( c_HOL_Ominus__class_Ominus @ SV1332 @ SV1428 @ SV417 ) )
| ( c_lessequals @ SV1144 @ SV829 @ SV417 )
| ~ ( c_lessequals @ SV1428 @ SV1332 @ SV417 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2933]) ).
thf(3172,plain,
! [SV1145: $i,SV830: $i,SV418: $i] :
( ( ( SV418
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV418 @ ( tc_List_Olist @ SV830 ) ) @ SV1145 @ SV830 ) )
= $false )
| ( ( ( c_List_Oappend @ SV418 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV418 @ ( tc_List_Olist @ SV830 ) ) @ SV1145 @ SV830 ) @ SV830 )
= SV1145 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2934]) ).
thf(3173,plain,
! [SV1429: $i,SV1333: $i,SV1146: $i,SV832: $i,SV420: $i] :
( ( ( ( c_List_Oappend @ SV420 @ ( c_List_Olist_OCons @ SV832 @ ( c_List_Olist_ONil @ SV1146 ) @ SV1146 ) @ SV1146 )
!= ( c_List_Oappend @ SV1333 @ ( c_List_Olist_OCons @ SV1429 @ ( c_List_Olist_ONil @ SV1146 ) @ SV1146 ) @ SV1146 ) )
| ( SV420 = SV1333 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2936]) ).
thf(3174,plain,
! [SV1430: $i,SV1334: $i,SV1147: $i,SV834: $i,SV422: $i] :
( ( ! [SY3732: $i] :
( ( ( c_Event_Oevent_OSays @ SV422 @ SV834 @ SV1147 )
!= ( c_Event_Oevent_OSays @ SV1334 @ SV1430 @ SY3732 ) )
| ( SV1147 = SY3732 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2938]) ).
thf(3175,plain,
! [SV1431: $i,SV1335: $i,SV1148: $i,SV835: $i,SV423: $i] :
( ( ( ( c_List_Ofilter @ SV423 @ SV835 @ SV1148 )
!= ( c_List_Olist_OCons @ SV1335 @ SV1431 @ SV1148 ) )
| ( hBOOL @ ( hAPP @ SV423 @ SV1335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2939]) ).
thf(3176,plain,
! [SV1432: $i,SV1336: $i,SV1149: $i,SV836: $i,SV424: $i] :
( ( ! [SY3733: $i,SY3734: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SY3733 @ ( tc_List_Olist @ SV1336 ) ) )
| ( c_List_Olist__all2 @ SY3734 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SY3733 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SY3734 @ SV424 @ SV1149 @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SY3734 @ SV1432 @ SY3733 @ SV836 @ SV1336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2940]) ).
thf(3177,plain,
! [SV1433: $i,SV1337: $i,SV1150: $i,SV837: $i,SV425: $i] :
( ( ! [SY3735: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV425 @ ( tc_List_Olist @ SV837 ) )
!= ( c_Nat_Osize__class_Osize @ SV1150 @ ( tc_List_Olist @ SV1337 ) ) )
| ( ( c_Map_Omap__upds @ SV1433 @ SV425 @ ( c_List_Oappend @ SV1150 @ SY3735 @ SV1337 ) @ SV837 @ SV1337 )
= ( c_Map_Omap__upds @ SV1433 @ SV425 @ SV1150 @ SV837 @ SV1337 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2941]) ).
thf(3178,plain,
! [SV1338: $i,SV1151: $i,SV838: $i,SV426: $i] :
( ( ( ( c_List_Olist__update @ SV426 @ SV838 @ SV1151 @ SV1338 )
!= ( c_List_Olist_ONil @ SV1338 ) )
= $true )
| ( ( SV426
= ( c_List_Olist_ONil @ SV1338 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2942]) ).
thf(3179,plain,
! [SV1434: $i,SV1339: $i,SV1152: $i,SV839: $i,SV427: $i] :
( ( ( c_Event_Oevent_OGets @ SV427 @ SV839 )
!= ( c_Event_Oevent_OSays @ SV1152 @ SV1339 @ SV1434 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2943]) ).
thf(3180,plain,
! [SV1340: $i,SV1153: $i,SV840: $i,SV428: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV428 @ SV840 )
!= ( c_Event_Oevent_OGets @ SV1153 @ SV1340 ) )
= $true )
| ( ( SV428 = SV1153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2944]) ).
thf(3181,plain,
! [SV1342: $i,SV1160: $i,SV849: $i,SV438: $i,SV8: $i] :
( ( ( hBOOL @ ( hAPP @ SV8 @ ( c_Message_Oagent_Oagent__case @ SV438 @ SV849 @ SV1160 @ SV1342 @ t_a ) ) )
= $true )
| ( ( ( SV1342 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV8 @ ( hAPP @ SV849 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV8 @ SV849 @ SV1342 ) ) ) )
| ( SV1342 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2948]) ).
thf(3182,plain,
! [SV1343: $i,SV1161: $i,SV850: $i,SV439: $i,SV9: $i] :
( ( ( hBOOL @ ( hAPP @ SV9 @ ( c_Message_Oagent_Oagent__case @ SV439 @ SV850 @ SV1161 @ SV1343 @ t_a ) ) )
= $true )
| ( ( ( SV1343 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV9 @ ( hAPP @ SV850 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV9 @ SV850 @ SV1343 ) ) ) )
| ( SV1343 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2949]) ).
thf(3183,plain,
! [SV1344: $i,SV1163: $i,SV852: $i,SV441: $i,SV11: $i] :
( ( ( hBOOL @ ( hAPP @ SV11 @ ( c_Message_Oagent_Oagent__case @ SV441 @ SV852 @ SV1163 @ SV1344 @ t_a ) ) )
= $true )
| ( ( ( SV1344 = c_Message_Oagent_OSpy )
| ( SV1344
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV11 @ SV852 @ SV1344 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV11 @ SV441 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2950]) ).
thf(3184,plain,
! [SV1435: $i,SV1345: $i,SV1164: $i,SV853: $i,SV442: $i,SV12: $i] :
( ( ! [SY3736: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV12 @ SV442 @ SV853 @ SV1164 @ SV1345 )
= ( c_Message_Oagent_Oagent__case @ SV12 @ SV1435 @ SY3736 @ SV1164 @ SV1345 ) )
| ( SV1164 = c_Message_Oagent_OSpy )
| ( SV1164
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1164 @ SV442 @ SV1435 @ SV1345 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2951]) ).
thf(3185,plain,
! [SV1346: $i,SV1165: $i,SV854: $i,SV443: $i,SV13: $i] :
( ( ( hBOOL @ ( hAPP @ SV13 @ ( c_Message_Oagent_Oagent__case @ SV443 @ SV854 @ SV1165 @ SV1346 @ t_a ) ) )
= $true )
| ( ( ( SV1346 = c_Message_Oagent_OSpy )
| ( SV1346
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV13 @ SV854 @ SV1346 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV13 @ SV443 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2952]) ).
thf(3186,plain,
! [SV1347: $i,SV1166: $i,SV855: $i,SV444: $i,SV14: $i] :
( ( ( hBOOL @ ( hAPP @ SV14 @ ( c_Message_Oagent_Oagent__case @ SV444 @ SV855 @ SV1166 @ SV1347 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV14 @ SV1166 ) )
| ( SV1347
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV14 @ SV855 @ SV1347 ) ) )
| ( SV1347 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2953]) ).
thf(3187,plain,
! [SV1436: $i,SV1348: $i,SV1167: $i,SV856: $i,SV445: $i,SV15: $i] :
( ( ! [SY3737: $i] :
( ( SV15
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV15 @ SV445 @ SV856 @ SV1167 ) ) )
| ( SV15 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1348 @ SV445 @ SV1436 @ SV15 @ SV1167 )
= ( c_Message_Oagent_Oagent__case @ SY3737 @ SV856 @ SV1436 @ SV15 @ SV1167 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2954]) ).
thf(3188,plain,
! [SV1349: $i,SV1168: $i,SV857: $i,SV446: $i,SV16: $i] :
( ( ( hBOOL @ ( hAPP @ SV16 @ ( c_Message_Oagent_Oagent__case @ SV446 @ SV857 @ SV1168 @ SV1349 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV16 @ SV1168 ) )
| ( SV1349
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV16 @ SV857 @ SV1349 ) ) )
| ( SV1349 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2955]) ).
thf(3189,plain,
! [SV1350: $i,SV1170: $i,SV860: $i,SV449: $i,SV21: $i] :
( ( ( ~ ( class_HOL_Oord @ SV21 ) )
= $true )
| ( ( ( c_lessequals @ ( hAPP @ SV449 @ SV860 ) @ ( hAPP @ SV1170 @ SV860 ) @ SV21 )
| ~ ( c_lessequals @ SV449 @ SV1170 @ ( tc_fun @ SV1350 @ SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(3190,plain,
! [SV1351: $i,SV1171: $i,SV861: $i,SV450: $i,SV22: $i] :
( ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV861 @ SV1171 @ SV1351 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV22 @ SV1171 ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SV861 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SV861 @ SV1351 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV450 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2957]) ).
thf(3191,plain,
! [SV1172: $i,SV863: $i,SV453: $i,SV25: $i] :
( ( ( class_Divides_Oring__div @ SV25 )
= $false )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV453 @ SV863 @ SV25 ) @ SV1172 @ SV25 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV453 @ SV1172 @ SV25 ) @ ( c_Divides_Odiv__class_Omod @ SV863 @ SV1172 @ SV25 ) @ SV25 ) @ SV1172 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2958]) ).
thf(3192,plain,
! [SV864: $i,SV27: $i,SV1173: $i,SV455: $i] :
( ( ( hBOOL @ ( hAPP @ SV455 @ SV1173 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV27 @ SV455 @ SV864 ) @ SV1173 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2959]) ).
thf(3193,plain,
! [SV29: $i,SV866: $i,SV457: $i] :
( ( ( c_lessequals @ SV457 @ SV866 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV457 @ SV29 @ tc_nat ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV29 @ SV457 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV866 @ SV457 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV29 @ SV866 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(3194,plain,
! [SV461: $i,SV869: $i,SV33: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV33 @ SV869 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV461 @ SV869 @ tc_nat ) @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV869 @ SV461 @ tc_nat )
| ~ ( c_lessequals @ SV869 @ SV33 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV33 @ SV461 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2961]) ).
thf(3195,plain,
! [SV462: $i,SV870: $i,SV34: $i] :
( ( ( c_lessequals @ SV34 @ SV870 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV462 @ SV870 @ tc_nat )
| ~ ( c_lessequals @ SV462 @ SV34 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV34 @ SV462 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV870 @ SV462 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3196,plain,
! [SV1175: $i,SV874: $i,SV466: $i,SV38: $i] :
( ( ( class_Divides_Oring__div @ SV38 )
= $false )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV466 @ SV874 @ SV38 ) @ SV1175 @ SV38 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV466 @ ( c_Divides_Odiv__class_Omod @ SV874 @ SV1175 @ SV38 ) @ SV38 ) @ SV1175 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2965]) ).
thf(3197,plain,
! [SV1176: $i,SV875: $i,SV467: $i,SV39: $i] :
( ( ( class_Divides_Oring__div @ SV39 )
= $false )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV467 @ SV875 @ SV39 ) @ SV1176 @ SV39 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV467 @ SV1176 @ SV39 ) @ SV875 @ SV39 ) @ SV1176 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2966]) ).
thf(3198,plain,
! [SV1352: $i,SV1177: $i,SV876: $i,SV468: $i,SV40: $i] :
( ( ( c_Fun_Oinj__on @ SV40 @ SV468 @ SV876 @ SV1177 )
= $true )
| ( ( ~ ( c_Fun_Oinj__on @ SV40 @ ( c_Set_Oinsert @ SV1352 @ SV468 @ SV876 ) @ SV876 @ SV1177 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2967]) ).
thf(3199,plain,
! [SV470: $i,SV878: $i,SV42: $i,SV1178: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV1178 @ SV42 @ SV878 ) @ SV470 @ ( tc_fun @ SV878 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV42 @ SV470 @ ( tc_fun @ SV878 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2968]) ).
thf(3200,plain,
! [SV471: $i,SV1179: $i,SV879: $i,SV43: $i] :
( ( ( c_lessequals @ SV43 @ SV879 @ ( tc_fun @ SV1179 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV43 @ ( c_Set_Oinsert @ SV471 @ SV879 @ SV1179 ) @ ( tc_fun @ SV1179 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2969]) ).
thf(3201,plain,
! [SV1180: $i,SV46: $i,SV474: $i,SV882: $i] :
( ( ( SV882 = SV474 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV882 @ SV46 @ SV1180 ) @ SV474 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV46 @ SV474 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2971]) ).
thf(3202,plain,
! [SV885: $i,SV50: $i,SV478: $i] :
( ( ( c_lessequals @ SV478 @ SV50 @ ( tc_fun @ SV885 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV50 @ SV478 @ ( tc_fun @ SV885 @ tc_bool ) ) )
= $true )
| ( ( SV50 = SV478 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2972]) ).
thf(3203,plain,
! [SV479: $i,SV51: $i] :
( ( ( c_lessequals @ SV51 @ SV479 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV479 @ SV51 @ tc_nat )
= $false )
| ( ( SV51 = SV479 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2973]) ).
thf(3204,plain,
! [SV886: $i,SV52: $i,SV480: $i] :
( ( ( c_lessequals @ SV480 @ SV52 @ ( tc_fun @ SV886 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV52 @ SV480 @ ( tc_fun @ SV886 @ tc_bool ) ) )
= $true )
| ( ( SV52 = SV480 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2974]) ).
thf(3205,plain,
! [SV53: $i,SV887: $i,SV481: $i] :
( ( ( SV481 = SV887 )
= $true )
| ( ( ~ ( c_lessequals @ SV887 @ SV481 @ SV53 )
| ~ ( c_lessequals @ SV481 @ SV887 @ SV53 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2975]) ).
thf(3206,plain,
! [SV54: $i,SV888: $i,SV482: $i] :
( ( ( SV482 = SV888 )
= $true )
| ( ( ~ ( c_lessequals @ SV888 @ SV482 @ SV54 )
| ~ ( c_lessequals @ SV482 @ SV888 @ SV54 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2976]) ).
thf(3207,plain,
! [SV55: $i,SV889: $i,SV483: $i] :
( ( ( SV483 = SV889 )
= $true )
| ( ( ~ ( c_lessequals @ SV483 @ SV889 @ SV55 )
| ~ ( c_lessequals @ SV889 @ SV483 @ SV55 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2977]) ).
thf(3208,plain,
! [SV1182: $i,SV892: $i,SV486: $i,SV58: $i] :
( ( ( class_Orderings_Oorder @ SV58 )
= $false )
| ( ( ( c_lessequals @ SV486 @ SV892 @ SV58 )
| ~ ( c_lessequals @ SV486 @ SV1182 @ SV58 )
| ~ ( c_lessequals @ SV1182 @ SV892 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2978]) ).
thf(3209,plain,
! [SV1183: $i,SV893: $i,SV487: $i,SV59: $i] :
( ( ( class_Orderings_Opreorder @ SV59 )
= $false )
| ( ( ( c_lessequals @ SV487 @ SV893 @ SV59 )
| ~ ( c_lessequals @ SV1183 @ SV893 @ SV59 )
| ~ ( c_lessequals @ SV487 @ SV1183 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2979]) ).
thf(3210,plain,
! [SV61: $i,SV488: $i,SV894: $i] :
( ( ( c_lessequals @ SV894 @ SV488 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV61 @ SV894 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV61 @ SV488 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2980]) ).
thf(3211,plain,
! [SV65: $i,SV895: $i,SV491: $i,SV1184: $i] :
( ( ( ~ ( c_lessequals @ SV1184 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV65 @ SV1184 @ ( tc_fun @ SV895 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV65 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2981]) ).
thf(3212,plain,
! [SV1353: $i,SV1185: $i,SV896: $i,SV492: $i,SV66: $i] :
( ( ( c_Fun_Oinj__on @ SV66 @ SV492 @ SV896 @ SV1185 )
= $true )
| ( ( ~ ( c_lessequals @ SV492 @ SV1353 @ ( tc_fun @ SV896 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV66 @ SV1353 @ SV896 @ SV1185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2982]) ).
thf(3213,plain,
! [SV1186: $i,SV67: $i,SV493: $i,SV897: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV897 @ SV493 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV897 @ SV67 @ ( tc_fun @ SV1186 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV67 @ SV493 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2983]) ).
thf(3214,plain,
! [SV496: $i,SV1187: $i,SV70: $i,SV898: $i] :
( ( ( ~ ( c_lessequals @ SV898 @ SV70 @ ( tc_fun @ SV1187 @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV898 @ SV496 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV70 @ SV496 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2984]) ).
thf(3215,plain,
! [SV1354: $i,SV1188: $i,SV899: $i,SV497: $i,SV71: $i] :
( ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SV497 @ SV899 @ SV1188 @ SV1354 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ SV1188 ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV899 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SV899 @ SV1354 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SV497 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2985]) ).
thf(3216,plain,
! [SV72: $i,SV900: $i,SV1189: $i,SV498: $i] :
( ( ( c_lessequals @ SV498 @ SV1189 @ ( tc_fun @ SV900 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV72 @ SV498 @ SV900 ) @ ( c_Set_Oinsert @ SV72 @ SV1189 @ SV900 ) @ ( tc_fun @ SV900 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2986]) ).
thf(3217,plain,
! [SV74: $i,SV901: $i,SV500: $i] :
( ( ( c_lessequals @ SV500 @ SV901 @ SV74 )
= $true )
| ( ( c_lessequals @ SV901 @ SV500 @ SV74 )
= $true )
| ( ( class_Orderings_Olinorder @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2987]) ).
thf(3218,plain,
! [SV1190: $i,SV913: $i,SV514: $i,SV88: $i] :
( ( ( class_Orderings_Olinorder @ SV88 )
= $false )
| ( ( ( c_lessequals @ SV514 @ SV913 @ SV88 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV514 @ ( c_List_Olist_OCons @ SV913 @ SV1190 @ SV88 ) @ SV88 ) @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2989]) ).
thf(3219,plain,
! [SV1191: $i,SV914: $i,SV515: $i,SV89: $i] :
( ( ( class_Orderings_Olinorder @ SV89 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV515 @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 ) @ SV89 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 )
| ~ ( c_lessequals @ SV515 @ SV914 @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2990]) ).
thf(3220,plain,
! [SV917: $i,SV518: $i,SV1192: $i,SV92: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV92 @ ( tc_List_Olist @ SV1192 ) ) @ SV518 @ tc_nat )
= $false )
| ( ( ( c_List_Olist__update @ SV92 @ SV518 @ SV917 @ SV1192 )
= SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2991]) ).
thf(3221,plain,
! [SV1355: $i,SV1194: $i,SV922: $i,SV524: $i,SV98: $i] :
( ( ( hBOOL @ ( hAPP @ SV98 @ ( c_Message_Oagent_Oagent__case @ SV524 @ SV922 @ SV1194 @ SV1355 @ t_a ) ) )
= $true )
| ( ( ( SV1355 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV98 @ ( hAPP @ SV922 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV98 @ SV922 @ SV1355 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ SV524 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2992]) ).
thf(3222,plain,
! [SV1356: $i,SV1195: $i,SV923: $i,SV525: $i,SV99: $i] :
( ( ( hBOOL @ ( hAPP @ SV99 @ ( c_Message_Oagent_Oagent__case @ SV525 @ SV923 @ SV1195 @ SV1356 @ t_a ) ) )
= $true )
| ( ( ( SV1356 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV99 @ ( hAPP @ SV923 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV99 @ SV923 @ SV1356 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV99 @ SV525 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2993]) ).
thf(3223,plain,
! [SV1357: $i,SV1197: $i,SV927: $i,SV529: $i,SV103: $i] :
( ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Message_Oagent_Oagent__case @ SV529 @ SV927 @ SV1197 @ SV1357 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV103 @ SV1197 ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ ( hAPP @ SV927 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV103 @ SV927 @ SV1357 ) ) ) )
| ( SV1357 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2994]) ).
thf(3224,plain,
! [SV1358: $i,SV1198: $i,SV928: $i,SV530: $i,SV104: $i] :
( ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Message_Oagent_Oagent__case @ SV530 @ SV928 @ SV1198 @ SV1358 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV104 @ SV1198 ) )
| ~ ( hBOOL @ ( hAPP @ SV104 @ ( hAPP @ SV928 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV104 @ SV928 @ SV1358 ) ) ) )
| ( SV1358 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2995]) ).
thf(3225,plain,
! [SV1437: $i,SV1359: $i,SV1199: $i,SV929: $i,SV531: $i,SV105: $i] :
( ( ( SV105
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV105 @ SV531 @ SV929 @ SV1199 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SV1359 @ SV531 @ SV1437 @ SV105 @ SV1199 )
= ( c_Message_Oagent_Oagent__case @ SV1359 @ SV929 @ SV1437 @ SV105 @ SV1199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2996]) ).
thf(3226,plain,
! [SV1360: $i,SV1200: $i,SV930: $i,SV532: $i,SV106: $i] :
( ( ( hBOOL @ ( hAPP @ SV106 @ ( c_Message_Oagent_Oagent__case @ SV532 @ SV930 @ SV1200 @ SV1360 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV106 @ SV1200 ) )
| ( SV1360
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV106 @ SV930 @ SV1360 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SV532 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2997]) ).
thf(3227,plain,
! [SV1361: $i,SV1201: $i,SV931: $i,SV533: $i,SV107: $i] :
( ( ( hBOOL @ ( hAPP @ SV107 @ ( c_Message_Oagent_Oagent__case @ SV533 @ SV931 @ SV1201 @ SV1361 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV107 @ SV1201 ) )
| ( SV1361
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV107 @ SV931 @ SV1361 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SV533 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2998]) ).
thf(3228,plain,
! [SV535: $i,SV109: $i] :
( ( ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV109 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV109 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV109 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV109 @ SV535 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2999]) ).
thf(3229,plain,
! [SV536: $i,SV110: $i] :
( ( ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV110 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV110 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV110 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV110 @ SV536 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3000]) ).
thf(3230,plain,
! [SV537: $i,SV111: $i] :
( ( ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV111 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV111 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV111 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV111 @ SV537 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3231,plain,
! [SV538: $i,SV112: $i] :
( ( ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV112 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV112 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV112 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV112 @ SV538 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3002]) ).
thf(3232,plain,
! [SV539: $i,SV113: $i] :
( ( ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV113 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV113 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV113 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV113 @ SV539 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3003]) ).
thf(3233,plain,
! [SV540: $i,SV114: $i] :
( ( ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV114 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV114 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV114 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV114 @ SV540 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3004]) ).
thf(3234,plain,
! [SV541: $i,SV115: $i] :
( ( ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV115 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV115 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV115 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV115 @ SV541 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3005]) ).
thf(3235,plain,
! [SV542: $i,SV116: $i] :
( ( ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV116 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV116 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV116 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV116 @ SV542 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3006]) ).
thf(3236,plain,
! [SV543: $i,SV117: $i] :
( ( ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV117 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV117 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV117 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV117 @ SV543 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3007]) ).
thf(3237,plain,
! [SV544: $i,SV118: $i] :
( ( ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV118 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV118 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV118 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV118 @ SV544 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3238,plain,
! [SV545: $i,SV119: $i] :
( ( ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV119 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV119 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV119 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV119 @ SV545 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3009]) ).
thf(3239,plain,
! [SV1202: $i,SV932: $i,SV546: $i,SV120: $i] :
( ( ( class_OrderedGroup_Ocomm__monoid__add @ SV120 )
= $false )
| ( ( ( ( c_Finite__Set_Osetsum @ SV546 @ ( c_List_Oset @ SV932 @ SV1202 ) @ SV1202 @ SV120 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV546 @ SV932 @ SV1202 @ SV120 ) @ SV120 ) )
| ~ ( c_List_Odistinct @ SV932 @ SV1202 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3010]) ).
thf(3240,plain,
! [SV1362: $i,SV1203: $i,SV937: $i,SV552: $i,SV126: $i] :
( ( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV552 @ SV937 @ SV1203 @ SV1362 @ t_a ) ) )
= $true )
| ( ( ( SV1362 = c_Message_Oagent_OSpy )
| ( SV1362
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV937 @ SV1362 ) ) )
| ( SV1362 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3011]) ).
thf(3241,plain,
! [SV1438: $i,SV1363: $i,SV1204: $i,SV938: $i,SV553: $i,SV127: $i] :
( ( ! [SY3738: $i,SY3739: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SV553 @ SV938 @ SV1204 @ SV1363 )
= ( c_Message_Oagent_Oagent__case @ SV1438 @ SY3738 @ SY3739 @ SV1204 @ SV1363 ) )
| ( SV1204 = c_Message_Oagent_OSpy )
| ( SV1204
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1204 @ SV553 @ SY3738 @ SV1363 ) ) )
| ( SV1204 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3012]) ).
thf(3242,plain,
! [SV1364: $i,SV1205: $i,SV939: $i,SV554: $i,SV128: $i] :
( ( ( hBOOL @ ( hAPP @ SV128 @ ( c_Message_Oagent_Oagent__case @ SV554 @ SV939 @ SV1205 @ SV1364 @ t_a ) ) )
= $true )
| ( ( ( SV1364 = c_Message_Oagent_OSpy )
| ( SV1364
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV128 @ SV939 @ SV1364 ) ) )
| ( SV1364 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3013]) ).
thf(3243,plain,
! [SV131: $i,SV941: $i,SV557: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SV557 @ SV941 @ SV131 ) @ SV131 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV941 @ SV131 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3014]) ).
thf(3244,plain,
! [SV1439: $i,SV1366: $i,SV1207: $i,SV944: $i,SV560: $i,SV134: $i] :
( ( ( c_List_Olist__all2 @ SV134 @ ( c_List_Otake @ SV560 @ SV944 @ SV1207 ) @ ( c_List_Otake @ SV560 @ SV1366 @ SV1439 ) @ SV1207 @ SV1439 )
| ~ ( c_List_Olist__all2 @ SV134 @ SV944 @ SV1366 @ SV1207 @ SV1439 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3016]) ).
thf(3245,plain,
! [SV1208: $i,SV945: $i,SV561: $i,SV135: $i] :
( ( ( c_List_Odistinct @ ( c_List_Omap @ SV135 @ SV561 @ SV945 @ SV1208 ) @ SV1208 )
= $false )
| ( ( c_Fun_Oinj__on @ SV135 @ ( c_List_Oset @ SV561 @ SV945 ) @ SV945 @ SV1208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3017]) ).
thf(3246,plain,
! [SV1440: $i,SV1367: $i,SV1209: $i,SV947: $i,SV563: $i,SV137: $i] :
( ( ( c_List_Ofoldl @ SV137 @ SV563 @ ( c_List_Olist_OCons @ SV947 @ SV1209 @ SV1367 ) @ SV1440 @ SV1367 )
= ( c_List_Ofoldl @ SV137 @ ( hAPP @ ( hAPP @ SV137 @ SV563 ) @ SV947 ) @ SV1209 @ SV1440 @ SV1367 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3019]) ).
thf(3247,plain,
! [SV1210: $i,SV948: $i,SV564: $i,SV138: $i] :
( ( ( class_Orderings_Olinorder @ SV138 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1210 @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 ) @ SV138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3020]) ).
thf(3248,plain,
! [SV1441: $i,SV1368: $i,SV1211: $i,SV949: $i,SV565: $i,SV139: $i] :
( ( ! [SY3740: $i] :
( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SV565 @ SV949 @ SV1211 ) @ ( c_List_Oappend @ SV1368 @ SV1441 @ SY3740 ) @ SV1211 @ SY3740 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV949 @ SV1441 @ SV1211 @ SY3740 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV565 @ SV1368 @ SV1211 @ SY3740 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3021]) ).
thf(3249,plain,
! [SV1442: $i,SV1372: $i,SV1217: $i,SV958: $i,SV576: $i,SV150: $i] :
( ( ( c_List_Olist_Olist__case @ SV150 @ SV576 @ ( c_List_Olist_OCons @ SV958 @ SV1217 @ SV1372 ) @ SV1442 @ SV1372 )
= ( hAPP @ ( hAPP @ SV576 @ SV958 ) @ SV1217 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3027]) ).
thf(3250,plain,
! [SV1443: $i,SV1373: $i,SV1218: $i,SV960: $i,SV578: $i,SV152: $i] :
( ( ! [SY3741: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV152 @ SV578 ) @ SV960 ) )
| ~ ( c_List_Olist__all2 @ SV152 @ ( c_List_Olist_OCons @ SV578 @ SV1218 @ SV1373 ) @ ( c_List_Olist_OCons @ SV960 @ SV1443 @ SY3741 ) @ SV1373 @ SY3741 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3028]) ).
thf(3251,plain,
! [SV1222: $i,SV965: $i,SV583: $i,SV157: $i] :
( ( ( ~ ( c_Fun_Oinj__on @ SV157 @ ( c_List_Oset @ SV583 @ SV965 ) @ SV965 @ SV1222 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV583 @ SV965 ) )
= $true )
| ( ( c_List_Odistinct @ ( c_List_Omap @ SV157 @ SV583 @ SV965 @ SV1222 ) @ SV1222 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3029]) ).
thf(3252,plain,
! [SV967: $i,SV159: $i,SV585: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV585 @ SV159 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV967 @ SV585 @ SV159 ) @ SV159 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV159 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3030]) ).
thf(3253,plain,
! [SV969: $i,SV587: $i,SV1223: $i,SV161: $i] :
( ( ( c_List_Olist__all @ SV161 @ ( c_List_Olist_OCons @ SV1223 @ SV587 @ SV969 ) @ SV969 )
= $false )
| ( ( c_List_Olist__all @ SV161 @ SV587 @ SV969 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3032]) ).
thf(3254,plain,
! [SV1224: $i,SV970: $i,SV589: $i,SV163: $i] :
( ( ( c_List_Olist__all @ SV163 @ ( c_List_Olist_OCons @ SV589 @ SV970 @ SV1224 ) @ SV1224 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV163 @ SV589 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3033]) ).
thf(3255,plain,
! [SV1444: $i,SV1374: $i,SV1226: $i,SV975: $i,SV594: $i,SV168: $i] :
( ( ( c_List_Omap @ SV168 @ ( c_List_Olist__update @ SV594 @ SV975 @ SV1226 @ SV1374 ) @ SV1374 @ SV1444 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV168 @ SV594 @ SV1374 @ SV1444 ) @ SV975 @ ( hAPP @ SV168 @ SV1226 ) @ SV1444 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3034]) ).
thf(3256,plain,
! [SV596: $i,SV1228: $i,SV977: $i,SV170: $i] :
( ( ( ~ ( c_List_Olist__all @ SV170 @ SV977 @ SV1228 ) )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV170 @ SV596 @ SV1228 ) )
= $true )
| ( ( c_List_Olist__all @ SV170 @ ( c_List_Oappend @ SV596 @ SV977 @ SV1228 ) @ SV1228 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3036]) ).
thf(3257,plain,
! [SV1445: $i,SV1376: $i,SV1229: $i,SV980: $i,SV600: $i,SV174: $i] :
( ( ( c_List_Ofoldl @ SV174 @ SV600 @ ( c_List_Oappend @ SV980 @ SV1229 @ SV1376 ) @ SV1445 @ SV1376 )
= ( c_List_Ofoldl @ SV174 @ ( c_List_Ofoldl @ SV174 @ SV600 @ SV980 @ SV1445 @ SV1376 ) @ SV1229 @ SV1445 @ SV1376 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3038]) ).
thf(3258,plain,
! [SV605: $i,SV1231: $i,SV181: $i,SV984: $i] :
( ( ( c_List_Olist__all2 @ SV984 @ SV181 @ ( c_List_Olist_ONil @ SV1231 ) @ SV605 @ SV1231 )
= $false )
| ( ( SV181
= ( c_List_Olist_ONil @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3040]) ).
thf(3259,plain,
! [SV606: $i,SV182: $i,SV1232: $i,SV985: $i] :
( ( ( c_List_Olist__all2 @ SV985 @ ( c_List_Olist_ONil @ SV1232 ) @ SV182 @ SV1232 @ SV606 )
= $false )
| ( ( SV182
= ( c_List_Olist_ONil @ SV606 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3041]) ).
thf(3260,plain,
! [SV1233: $i,SV986: $i,SV607: $i,SV184: $i] :
( ( ( hBOOL @ ( hAPP @ SV184 @ SV607 ) )
= $false )
| ( ( ( c_List_Ofilter @ SV184 @ ( c_List_Olist_OCons @ SV607 @ SV986 @ SV1233 ) @ SV1233 )
= ( c_List_Olist_OCons @ SV607 @ ( c_List_Ofilter @ SV184 @ SV986 @ SV1233 ) @ SV1233 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3042]) ).
thf(3261,plain,
! [SV987: $i,SV1234: $i,SV608: $i,SV185: $i] :
( ( ( c_List_Olistsp @ SV185 @ ( c_List_Oappend @ SV608 @ SV1234 @ SV987 ) @ SV987 )
= $false )
| ( ( c_List_Olistsp @ SV185 @ SV608 @ SV987 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3043]) ).
thf(3262,plain,
! [SV988: $i,SV609: $i,SV1235: $i,SV186: $i] :
( ( ( c_List_Olistsp @ SV186 @ ( c_List_Oappend @ SV1235 @ SV609 @ SV988 ) @ SV988 )
= $false )
| ( ( c_List_Olistsp @ SV186 @ SV609 @ SV988 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3044]) ).
thf(3263,plain,
! [SV187: $i,SV989: $i,SV610: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SV610 @ SV989 @ SV187 ) @ SV187 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV989 @ SV187 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3045]) ).
thf(3264,plain,
! [SV1446: $i,SV1377: $i,SV1236: $i,SV990: $i,SV611: $i,SV188: $i] :
( ( ! [SY3742: $i] :
( ( c_List_Olist__all2 @ SV188 @ SV611 @ SV990 @ SV1236 @ SV1377 )
| ~ ( c_List_Olist__all2 @ SV188 @ ( c_List_Olist_OCons @ SV1446 @ SV611 @ SV1236 ) @ ( c_List_Olist_OCons @ SY3742 @ SV990 @ SV1377 ) @ SV1236 @ SV1377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3046]) ).
thf(3265,plain,
! [SV1447: $i,SV1380: $i,SV1240: $i,SV998: $i,SV619: $i,SV196: $i] :
( ( ( c_List_Ofoldr @ SV196 @ ( c_List_Oappend @ SV619 @ SV998 @ SV1240 ) @ SV1380 @ SV1240 @ SV1447 )
= ( c_List_Ofoldr @ SV196 @ SV619 @ ( c_List_Ofoldr @ SV196 @ SV998 @ SV1380 @ SV1240 @ SV1447 ) @ SV1240 @ SV1447 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3052]) ).
thf(3266,plain,
! [SV1241: $i,SV999: $i,SV620: $i,SV197: $i] :
( ( ( hBOOL @ ( hAPP @ SV197 @ SV620 ) )
= $false )
| ( ( c_List_Olist__ex @ SV197 @ ( c_List_Olist_OCons @ SV620 @ SV999 @ SV1241 ) @ SV1241 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3053]) ).
thf(3267,plain,
! [SV1448: $i,SV1381: $i,SV1242: $i,SV1000: $i,SV621: $i,SV198: $i] :
( ( ! [SY3743: $i] :
( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SV621 @ SV1000 @ SV1242 ) @ ( c_List_Olist_OCons @ SV1381 @ SV1448 @ SY3743 ) @ SV1242 @ SY3743 )
| ~ ( c_List_Olist__all2 @ SV198 @ SV1000 @ SV1448 @ SV1242 @ SY3743 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SV621 ) @ SV1381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3054]) ).
thf(3268,plain,
! [SV1449: $i,SV1382: $i,SV1243: $i,SV1001: $i,SV622: $i,SV199: $i] :
( ( ! [SY3744: $i] :
( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SV622 @ SV1001 @ SV1243 ) @ ( c_List_Olist_OCons @ SV1382 @ SV1449 @ SY3744 ) @ SV1243 @ SY3744 )
| ~ ( c_List_Olist__all2 @ SV199 @ SV1001 @ SV1449 @ SV1243 @ SY3744 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SV622 ) @ SV1382 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3055]) ).
thf(3269,plain,
! [SV1450: $i,SV1383: $i,SV1244: $i,SV1002: $i,SV623: $i,SV200: $i] :
( ( ! [SY3745: $i] :
( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SV623 @ SV1002 @ SV1244 ) @ ( c_List_Olist_OCons @ SV1383 @ SV1450 @ SY3745 ) @ SV1244 @ SY3745 )
| ~ ( c_List_Olist__all2 @ SV200 @ SV1002 @ SV1450 @ SV1244 @ SY3745 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SV623 ) @ SV1383 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3056]) ).
thf(3270,plain,
! [SV624: $i,SV1245: $i,SV1003: $i,SV201: $i] :
( ( ( c_List_Olist__ex @ SV201 @ SV1003 @ SV1245 )
= $false )
| ( ( c_List_Olist__ex @ SV201 @ ( c_List_Olist_OCons @ SV624 @ SV1003 @ SV1245 ) @ SV1245 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3057]) ).
thf(3271,plain,
! [SV1004: $i,SV625: $i,SV1246: $i,SV202: $i] :
( ( ( hBOOL @ ( hAPP @ SV202 @ SV1246 ) )
= $true )
| ( ( ~ ( c_List_Olist__ex @ SV202 @ ( c_List_Olist_OCons @ SV1246 @ SV625 @ SV1004 ) @ SV1004 ) )
= $true )
| ( ( c_List_Olist__ex @ SV202 @ SV625 @ SV1004 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3058]) ).
thf(3272,plain,
! [SV1384: $i,SV1247: $i,SV1005: $i,SV626: $i,SV203: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV203 @ ( tc_List_Olist @ SV626 ) )
= ( c_Nat_Osize__class_Osize @ SV1005 @ ( tc_List_Olist @ SV1247 ) ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1384 @ SV203 @ SV1005 @ SV626 @ SV1247 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3059]) ).
thf(3273,plain,
! [SV1248: $i,SV627: $i,SV1006: $i,SV204: $i] :
( ( ( hBOOL @ ( hAPP @ SV204 @ SV1006 ) )
= $false )
| ( ( ( c_List_Ofilter @ SV204 @ ( c_List_Oreplicate @ SV627 @ SV1006 @ SV1248 ) @ SV1248 )
= ( c_List_Oreplicate @ SV627 @ SV1006 @ SV1248 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3274,plain,
! [SV1451: $i,SV1385: $i,SV1249: $i,SV1007: $i,SV628: $i,SV205: $i] :
( ( ( c_List_Olistrelp @ SV205 @ ( c_List_Olist_OCons @ SV628 @ SV1007 @ SV1249 ) @ ( c_List_Olist_OCons @ SV1385 @ SV1451 @ SV1249 ) @ SV1249 )
| ~ ( c_List_Olistrelp @ SV205 @ SV1007 @ SV1451 @ SV1249 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV205 @ SV628 ) @ SV1385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3061]) ).
thf(3275,plain,
! [SV1251: $i,SV1011: $i,SV632: $i,SV209: $i] :
( ( ( hBOOL @ ( hAPP @ SV209 @ SV632 ) )
= $false )
| ( ( ( c_List_OdropWhile @ SV209 @ ( c_List_Olist_OCons @ SV632 @ SV1011 @ SV1251 ) @ SV1251 )
= ( c_List_OdropWhile @ SV209 @ SV1011 @ SV1251 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3065]) ).
thf(3276,plain,
! [SV1254: $i,SV1016: $i,SV638: $i,SV215: $i] :
( ( ( hBOOL @ ( hAPP @ SV215 @ ( c_Message_Oagent_Oagent__case @ SV638 @ SV1016 @ SV1254 @ c_Message_Oagent_OServer @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV215 @ SV638 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3068]) ).
thf(3277,plain,
! [SV1452: $i,SV1387: $i,SV1256: $i,SV1018: $i,SV640: $i,SV217: $i] :
( ( ( c_List_Olist__all2 @ SV217 @ ( c_List_Odrop @ SV640 @ SV1018 @ SV1256 ) @ ( c_List_Odrop @ SV640 @ SV1387 @ SV1452 ) @ SV1256 @ SV1452 )
| ~ ( c_List_Olist__all2 @ SV217 @ SV1018 @ SV1387 @ SV1256 @ SV1452 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3069]) ).
thf(3278,plain,
! [SV1453: $i,SV1388: $i,SV1259: $i,SV1021: $i,SV644: $i,SV221: $i] :
( ( ( c_List_Olist_Olist__rec @ SV221 @ SV644 @ ( c_List_Olist_OCons @ SV1021 @ SV1259 @ SV1388 ) @ SV1453 @ SV1388 )
= ( hAPP @ ( hAPP @ ( hAPP @ SV644 @ SV1021 ) @ SV1259 ) @ ( c_List_Olist_Olist__rec @ SV221 @ SV644 @ SV1259 @ SV1453 @ SV1388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3072]) ).
thf(3279,plain,
! [SV1260: $i,SV646: $i,SV223: $i,SV1023: $i] :
( ( ( c_List_Odistinct @ ( c_List_Omap @ SV1023 @ SV223 @ SV646 @ SV1260 ) @ SV1260 )
= $false )
| ( ( c_List_Odistinct @ SV223 @ SV646 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3073]) ).
thf(3280,plain,
! [SV651: $i,SV1261: $i,SV1026: $i,SV228: $i] :
( ( ( ~ ( c_List_Olistsp @ SV228 @ SV1026 @ SV1261 ) )
= $true )
| ( ( ~ ( c_List_Olistsp @ SV228 @ SV651 @ SV1261 ) )
= $true )
| ( ( c_List_Olistsp @ SV228 @ ( c_List_Oappend @ SV651 @ SV1026 @ SV1261 ) @ SV1261 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3076]) ).
thf(3281,plain,
! [SV1389: $i,SV1262: $i,SV1028: $i,SV653: $i,SV230: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV230 @ ( c_Message_Oagent_Oagent__case @ SV653 @ SV1028 @ SV1262 @ ( c_Message_Oagent_OFriend @ SV1389 ) @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV230 @ ( hAPP @ SV1028 @ SV1389 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3077]) ).
thf(3282,plain,
! [SV1390: $i,SV1263: $i,SV1029: $i,SV654: $i,SV231: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV231 @ ( c_Message_Oagent_Oagent__case @ SV654 @ SV1029 @ SV1263 @ ( c_Message_Oagent_OFriend @ SV1390 ) @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV231 @ ( hAPP @ SV1029 @ SV1390 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3078]) ).
thf(3283,plain,
! [SV1454: $i,SV1391: $i,SV1264: $i,SV1031: $i,SV656: $i,SV233: $i] :
( ( ( c_List_Ofoldr @ SV233 @ ( c_List_Olist_OCons @ SV656 @ SV1031 @ SV1264 ) @ SV1391 @ SV1264 @ SV1454 )
= ( hAPP @ ( hAPP @ SV233 @ SV656 ) @ ( c_List_Ofoldr @ SV233 @ SV1031 @ SV1391 @ SV1264 @ SV1454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3079]) ).
thf(3284,plain,
! [SV1036: $i,SV239: $i,SV662: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV662 @ SV239 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV662 @ SV1036 @ SV239 ) @ SV239 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV239 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3082]) ).
thf(3285,plain,
! [SV1037: $i,SV240: $i,SV663: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV663 @ SV240 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1037 @ SV663 @ SV240 ) @ SV240 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV240 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3083]) ).
thf(3286,plain,
! [SV664: $i,SV1267: $i,SV1038: $i,SV241: $i] :
( ( ( ~ ( c_List_Olist__all @ SV241 @ SV1038 @ SV1267 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV241 @ SV664 ) ) )
= $true )
| ( ( c_List_Olist__all @ SV241 @ ( c_List_Olist_OCons @ SV664 @ SV1038 @ SV1267 ) @ SV1267 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3084]) ).
thf(3287,plain,
! [SV1455: $i,SV1394: $i,SV1268: $i,SV1039: $i,SV665: $i,SV242: $i] :
( ( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SV665 @ SV1039 @ SV1268 ) @ SV1394 @ SV1455 @ SV1268 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SV1394 @ SV1455 @ SV1268 ) @ SV665 @ SV1039 @ SV1268 ) )
| ( SV665 = SV1394 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3085]) ).
thf(3288,plain,
! [SV243: $i,SV666: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV666 @ SV243 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV666 @ SV243 ) @ SV243 )
= $true )
| ( ( class_Orderings_Olinorder @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3086]) ).
thf(3289,plain,
! [SV1045: $i,SV1273: $i,SV674: $i,SV251: $i] :
( ( ( c_List_Olist__all @ SV251 @ ( c_List_Oappend @ SV674 @ SV1273 @ SV1045 ) @ SV1045 )
= $false )
| ( ( c_List_Olist__all @ SV251 @ SV674 @ SV1045 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3290,plain,
! [SV1046: $i,SV675: $i,SV1274: $i,SV252: $i] :
( ( ( c_List_Olist__all @ SV252 @ ( c_List_Oappend @ SV1274 @ SV675 @ SV1046 ) @ SV1046 )
= $false )
| ( ( c_List_Olist__all @ SV252 @ SV675 @ SV1046 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3090]) ).
thf(3291,plain,
! [SV1396: $i,SV1275: $i,SV1048: $i,SV677: $i,SV254: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV254 @ ( c_List_Olist_Olist__case @ SV677 @ SV1048 @ ( c_List_Olist_OCons @ SV1275 @ SV1396 @ t_b ) @ t_a @ t_b ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV254 @ ( hAPP @ ( hAPP @ SV1048 @ SV1275 ) @ SV1396 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3091]) ).
thf(3292,plain,
! [SV1397: $i,SV1276: $i,SV1049: $i,SV678: $i,SV255: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV255 @ ( c_List_Olist_Olist__case @ SV678 @ SV1049 @ ( c_List_Olist_OCons @ SV1276 @ SV1397 @ t_b ) @ t_a @ t_b ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV255 @ ( hAPP @ ( hAPP @ SV1049 @ SV1276 ) @ SV1397 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3092]) ).
thf(3293,plain,
! [SV256: $i,SV1050: $i,SV679: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV679 @ SV1050 @ SV256 ) @ SV256 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1050 @ SV256 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV256 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3093]) ).
thf(3294,plain,
! [SV263: $i,SV1056: $i,SV686: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV686 @ SV1056 @ SV263 ) @ SV263 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1056 @ SV263 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV263 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3095]) ).
thf(3295,plain,
! [SV1290: $i,SV1074: $i,SV738: $i,SV320: $i] :
( ( ( hBOOL @ ( hAPP @ SV320 @ ( c_Message_Oagent_Oagent__case @ SV738 @ SV1074 @ SV1290 @ c_Message_Oagent_OSpy @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV320 @ SV1290 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3112]) ).
thf(3296,plain,
! [SV1399: $i,SV1291: $i,SV1080: $i,SV747: $i,SV329: $i] :
( ( ( c_List_Olist__all2 @ SV329 @ ( hAPP @ ( c_List_Orev @ SV747 ) @ SV1080 ) @ ( hAPP @ ( c_List_Orev @ SV1291 ) @ SV1399 ) @ SV747 @ SV1291 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV329 @ SV1080 @ SV1399 @ SV747 @ SV1291 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3115]) ).
thf(3297,plain,
! [SV1400: $i,SV1292: $i,SV1081: $i,SV748: $i,SV330: $i] :
( ( ( c_List_Olist__all2 @ SV330 @ SV748 @ SV1081 @ SV1292 @ SV1400 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV330 @ ( hAPP @ ( c_List_Orev @ SV1292 ) @ SV748 ) @ ( hAPP @ ( c_List_Orev @ SV1400 ) @ SV1081 ) @ SV1292 @ SV1400 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3116]) ).
thf(3298,plain,
! [SV1401: $i,SV1294: $i,SV1084: $i,SV754: $i,SV336: $i] :
( ( ( c_List_Olist__all2 @ SV336 @ ( hAPP @ ( c_List_Orev @ SV754 ) @ SV1084 ) @ SV1294 @ SV754 @ SV1401 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV336 @ SV1084 @ ( hAPP @ ( c_List_Orev @ SV1401 ) @ SV1294 ) @ SV754 @ SV1401 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3117]) ).
thf(3299,plain,
! [SV1402: $i,SV1295: $i,SV1085: $i,SV755: $i,SV337: $i] :
( ( ( c_List_Olist__all2 @ SV337 @ SV755 @ ( hAPP @ ( c_List_Orev @ SV1085 ) @ SV1295 ) @ SV1402 @ SV1085 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV337 @ ( hAPP @ ( c_List_Orev @ SV1402 ) @ SV755 ) @ SV1295 @ SV1402 @ SV1085 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3118]) ).
thf(3300,plain,
! [SV1296: $i,SV1088: $i,SV767: $i,SV352: $i] :
( ( ( ( c_List_Omap @ SV352 @ SV767 @ SV1088 @ SV1296 )
= ( c_List_Olist_ONil @ SV1296 ) )
= $false )
| ( ( SV767
= ( c_List_Olist_ONil @ SV1088 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3120]) ).
thf(3301,plain,
! [SV1456: $i,SV1403: $i,SV1297: $i,SV1089: $i,SV768: $i,SV353: $i] :
( ( ! [SY3746: $i] :
( ( ( hAPP @ SV353 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) )
!= ( hAPP @ SV1089 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SV1403 @ SV353 @ SV1456 @ SV768 @ SV1297 )
= ( c_Message_Oagent_Oagent__case @ SV1403 @ SV1089 @ SY3746 @ SV768 @ SV1297 ) )
| ( SV768 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3121]) ).
thf(3302,plain,
! [SV1457: $i,SV1404: $i,SV1298: $i,SV1090: $i,SV769: $i,SV354: $i] :
( ( ! [SY3747: $i,SY3748: $i] :
( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) )
!= ( hAPP @ SV1090 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) ) )
| ( SV769 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1404 @ SV354 @ SV1457 @ SV769 @ SV1298 )
= ( c_Message_Oagent_Oagent__case @ SY3747 @ SV1090 @ SY3748 @ SV769 @ SV1298 ) )
| ( SV769 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3122]) ).
thf(3303,plain,
! [SV1458: $i,SV1405: $i,SV1299: $i,SV1091: $i,SV770: $i,SV355: $i] :
( ( ( ( hAPP @ SV355 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SV1299 ) )
!= ( hAPP @ SV1091 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SV1299 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SV1405 @ SV355 @ SV1458 @ SV770 @ SV1299 )
= ( c_Message_Oagent_Oagent__case @ SV1405 @ SV1091 @ SV1458 @ SV770 @ SV1299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3123]) ).
thf(3304,plain,
! [SV1300: $i,SV1093: $i,SV773: $i,SV358: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SV1093 @ SV773 )
= SV358 )
= $false )
| ( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV773 ) ) @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ tc_nat )
| ( ( c_List_Oappend @ SV1093 @ SV1300 @ SV773 )
= ( c_List_Oappend @ SV358 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SV1093 @ SV773 ) @ SV1300 @ SV773 ) @ SV773 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3125]) ).
thf(3305,plain,
! [SV1406: $i,SV1301: $i,SV1097: $i,SV777: $i,SV362: $i] :
( ( ( ( c_List_Oappend @ SV362 @ SV777 @ SV1097 )
!= ( c_List_Oappend @ SV1301 @ SV1406 @ SV1097 ) )
= $true )
| ( ( ( SV777
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ SV1301 @ SV1097 ) @ SV1406 @ SV1097 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ ( c_Nat_Osize__class_Osize @ SV1301 @ ( tc_List_Olist @ SV1097 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3128]) ).
thf(3306,plain,
! [SV1407: $i,SV1302: $i,SV1104: $i,SV785: $i,SV371: $i] :
( ( ( ( c_List_Oappend @ SV371 @ SV785 @ SV1104 )
!= ( c_List_Oappend @ SV1302 @ SV1407 @ SV1104 ) )
= $true )
| ( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1302 @ ( tc_List_Olist @ SV1104 ) ) @ SV371 @ SV1104 )
= SV1302 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV371 @ ( tc_List_Olist @ SV1104 ) ) @ ( c_Nat_Osize__class_Osize @ SV1302 @ ( tc_List_Olist @ SV1104 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3134]) ).
thf(3307,plain,
! [SV1303: $i,SV1106: $i,SV787: $i,SV374: $i] :
( ( ( ( c_List_Oappend @ SV374 @ SV787 @ SV1106 )
= ( c_List_Oappend @ SV374 @ SV1303 @ SV1106 ) )
= $false )
| ( ( SV787 = SV1303 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3135]) ).
thf(3308,plain,
! [SV1408: $i,SV1304: $i,SV1107: $i,SV788: $i,SV375: $i] :
( ( ( ( c_List_Omap @ SV375 @ SV788 @ SV1107 @ SV1304 )
!= ( c_List_Omap @ SV375 @ SV1408 @ SV1107 @ SV1304 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV788 @ ( tc_List_Olist @ SV1107 ) )
= ( c_Nat_Osize__class_Osize @ SV1408 @ ( tc_List_Olist @ SV1107 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3136]) ).
thf(3309,plain,
! [SV1108: $i,SV376: $i,SV789: $i] :
( ( ( ( c_List_Oset @ SV789 @ SV376 )
!= ( c_List_Oset @ SV1108 @ SV376 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV1108 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
| ~ ( c_List_Odistinct @ SV789 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3137]) ).
thf(3310,plain,
! [SV1409: $i,SV1305: $i,SV1109: $i,SV790: $i,SV377: $i] :
( ( ( ( c_List_Oappend @ SV377 @ SV790 @ SV1109 )
!= ( c_List_Oappend @ SV1305 @ SV1409 @ SV1109 ) )
= $true )
| ( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1305 @ ( tc_List_Olist @ SV1109 ) ) @ SV377 @ SV1109 ) @ SV790 @ SV1109 )
= SV1409 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV377 @ ( tc_List_Olist @ SV1109 ) ) @ ( c_Nat_Osize__class_Osize @ SV1305 @ ( tc_List_Olist @ SV1109 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3138]) ).
thf(3311,plain,
! [SV1410: $i,SV1306: $i,SV1110: $i,SV791: $i,SV378: $i] :
( ( ( ( c_List_Olist_OCons @ SV378 @ SV791 @ SV1110 )
!= ( c_List_Olist_OCons @ SV1306 @ SV1410 @ SV1110 ) )
= $true )
| ( ( SV791 = SV1410 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3139]) ).
thf(3312,plain,
! [SV1411: $i,SV1307: $i,SV1112: $i,SV793: $i,SV380: $i] :
( ( ( ( c_List_Oreplicate @ SV380 @ SV793 @ SV1112 )
!= ( c_List_Oreplicate @ SV1307 @ SV1411 @ SV1112 ) )
= $true )
| ( ( SV380 = SV1307 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3141]) ).
thf(3313,plain,
! [SV1412: $i,SV1308: $i,SV1113: $i,SV794: $i,SV381: $i] :
( ( ( c_Event_Oevent_OSays @ SV381 @ SV794 @ SV1113 )
= ( c_Event_Oevent_OGets @ SV1308 @ SV1412 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3142]) ).
thf(3314,plain,
! [SV1309: $i,SV1114: $i,SV795: $i,SV382: $i] :
( ( ( ( c_List_Olist_ONil @ SV382 )
= ( c_List_Omap @ SV795 @ SV1114 @ SV1309 @ SV382 ) )
= $false )
| ( ( SV1114
= ( c_List_Olist_ONil @ SV1309 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3143]) ).
thf(3315,plain,
! [SV1459: $i,SV1413: $i,SV1310: $i,SV1115: $i,SV797: $i,SV384: $i] :
( ( ! [SY3749: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
!= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SV1310 ) ) )
| ( c_List_Olist__all2 @ SV1413 @ ( c_List_Oappend @ SV384 @ SV1459 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SY3749 @ SV1310 ) @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SV1459 @ SY3749 @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SV384 @ SV1115 @ SV797 @ SV1310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3144]) ).
thf(3316,plain,
! [SV1414: $i,SV1311: $i,SV1117: $i,SV800: $i,SV387: $i] :
( ( ( ( c_List_Oappend @ SV387 @ ( c_List_Olist_OCons @ SV800 @ ( c_List_Olist_ONil @ SV1117 ) @ SV1117 ) @ SV1117 )
!= ( c_List_Oappend @ SV1311 @ ( c_List_Olist_OCons @ SV1414 @ ( c_List_Olist_ONil @ SV1117 ) @ SV1117 ) @ SV1117 ) )
= $true )
| ( ( SV800 = SV1414 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3146]) ).
thf(3317,plain,
! [SV1312: $i,SV1119: $i,SV802: $i,SV389: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= SV1312 )
= $false )
| ( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 )
!= SV389 )
| ( SV1119
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) )
| ( ( c_List_Oappend @ SV1119 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= ( c_List_Oappend @ SV389 @ SV1312 @ SV802 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3148]) ).
thf(3318,plain,
! [SV390: $i,SV1120: $i,SV803: $i] :
( ( ( ~ ( c_lessequals @ SV803 @ SV1120 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV803 @ SV390 @ tc_nat )
| ( SV390 = SV1120 ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV390 @ SV803 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV1120 @ SV803 @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3149]) ).
thf(3319,plain,
! [SV1313: $i,SV1121: $i,SV804: $i,SV391: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV391 ) @ SV804 )
= ( c_List_Olist_OCons @ SV1121 @ SV1313 @ SV391 ) )
= $false )
| ( ( SV804
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV391 ) @ SV1313 ) @ ( c_List_Olist_OCons @ SV1121 @ ( c_List_Olist_ONil @ SV391 ) @ SV391 ) @ SV391 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3150]) ).
thf(3320,plain,
! [SV1415: $i,SV1314: $i,SV1122: $i,SV805: $i,SV392: $i] :
( ( ( ( c_List_Olist_OCons @ SV392 @ SV805 @ SV1122 )
!= ( c_List_Ofilter @ SV1314 @ SV1415 @ SV1122 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV1314 @ SV392 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3151]) ).
thf(3321,plain,
! [SV1315: $i,SV1124: $i,SV807: $i,SV394: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV394 @ SV807 )
= ( c_Event_Oevent_OGets @ SV1124 @ SV1315 ) )
= $false )
| ( ( SV807 = SV1315 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3152]) ).
thf(3322,plain,
! [SV1416: $i,SV1316: $i,SV1125: $i,SV808: $i,SV395: $i] :
( ( ( ( c_List_Olist_OCons @ SV395 @ SV808 @ SV1125 )
!= ( c_List_Olist_OCons @ SV1316 @ SV1416 @ SV1125 ) )
= $true )
| ( ( SV395 = SV1316 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3153]) ).
thf(3323,plain,
! [SV1317: $i,SV1126: $i,SV810: $i,SV397: $i] :
( ( ( SV397
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) )
= $false )
| ( ( ( ( c_List_Oappend @ SV397 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) @ SV1317 @ SV810 ) @ SV810 )
= ( c_List_Oappend @ SV1126 @ SV1317 @ SV810 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1126 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3154]) ).
thf(3324,plain,
! [SV1460: $i,SV1417: $i,SV1318: $i,SV1127: $i,SV811: $i,SV398: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV398 @ SV811 @ SV1127 )
!= ( c_Event_Oevent_OSays @ SV1318 @ SV1417 @ SV1460 ) )
| ( SV811 = SV1417 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3155]) ).
thf(3325,plain,
! [SV1418: $i,SV1319: $i,SV1128: $i,SV812: $i,SV399: $i] :
( ( ( ( c_List_Oappend @ SV399 @ SV812 @ SV1128 )
!= ( c_List_Oappend @ SV1319 @ SV1418 @ SV1128 ) )
= $true )
| ( ( ( SV399
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ SV1319 @ SV1128 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ ( c_Nat_Osize__class_Osize @ SV1319 @ ( tc_List_Olist @ SV1128 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3156]) ).
thf(3326,plain,
! [SV1461: $i,SV1419: $i,SV1320: $i,SV1130: $i,SV814: $i,SV401: $i] :
( ( ! [SY3750: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SV814 ) )
!= ( c_Nat_Osize__class_Osize @ SV1130 @ ( tc_List_Olist @ SV1320 ) ) )
| ( c_List_Olist__all2 @ SV1419 @ SV401 @ SV1130 @ SV814 @ SV1320 )
| ~ ( c_List_Olist__all2 @ SV1419 @ ( c_List_Oappend @ SV401 @ SV1461 @ SV814 ) @ ( c_List_Oappend @ SV1130 @ SY3750 @ SV1320 ) @ SV814 @ SV1320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3158]) ).
thf(3327,plain,
! [SV1462: $i,SV1420: $i,SV1321: $i,SV1131: $i,SV815: $i,SV402: $i] :
( ( ! [SY3751: $i] :
( ( ( hAPP @ SV402 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) )
!= ( hAPP @ SV1131 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) ) )
| ( SV815 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1420 @ SV402 @ SV1462 @ SV815 @ SV1321 )
= ( c_Message_Oagent_Oagent__case @ SY3751 @ SV1131 @ SV1462 @ SV815 @ SV1321 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3159]) ).
thf(3328,plain,
! [SV1463: $i,SV1421: $i,SV1322: $i,SV1132: $i,SV816: $i,SV403: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV403 @ SV816 @ SV1132 )
!= ( c_Event_Oevent_OSays @ SV1322 @ SV1421 @ SV1463 ) )
| ( SV403 = SV1322 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3160]) ).
thf(3329,plain,
! [SV1323: $i,SV1133: $i,SV817: $i,SV404: $i] :
( ( ( class_OrderedGroup_Oab__group__add @ SV404 )
= $false )
| ( ( ( ( c_HOL_Ominus__class_Ominus @ SV817 @ SV817 @ SV404 )
!= ( c_HOL_Ominus__class_Ominus @ SV1133 @ SV1323 @ SV404 ) )
| ( SV1133 = SV1323 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3161]) ).
thf(3330,plain,
! [SV1422: $i,SV1324: $i,SV1134: $i,SV818: $i,SV405: $i] :
( ( ( ( c_List_OdropWhile @ SV405 @ SV818 @ SV1134 )
!= ( c_List_Olist_OCons @ SV1324 @ SV1422 @ SV1134 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV405 @ SV1324 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3162]) ).
thf(3331,plain,
! [SV1464: $i,SV1423: $i,SV1325: $i,SV1135: $i,SV819: $i,SV406: $i] :
( ( ~ ( class_Divides_Oring__div @ SV406 )
| ( ( c_Divides_Odiv__class_Omod @ SV819 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1325 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ SV1423 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1464 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1423 @ SV819 @ SV406 ) @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1464 @ SV1325 @ SV406 ) @ SV1135 @ SV406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3163]) ).
thf(3332,plain,
! [SV1465: $i,SV1424: $i,SV1326: $i,SV1136: $i,SV820: $i,SV407: $i] :
( ( ! [SY3752: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1465 @ ( tc_List_Olist @ SV1326 ) ) )
| ( c_List_Olist__all2 @ SY3752 @ ( c_List_Oappend @ SV1465 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SY3752 @ SV1136 @ SV407 @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SY3752 @ SV1465 @ SV1424 @ SV1326 @ SV820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3164]) ).
thf(3333,plain,
! [SV1327: $i,SV1138: $i,SV822: $i,SV409: $i] :
( ( ( ( c_List_Oappend @ SV409 @ SV822 @ SV1138 )
= ( c_List_Oappend @ SV1327 @ SV822 @ SV1138 ) )
= $false )
| ( ( SV409 = SV1327 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3166]) ).
thf(3334,plain,
! [SV1466: $i,SV1425: $i,SV1328: $i,SV1139: $i,SV823: $i,SV410: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV410 @ ( tc_List_Olist @ SV823 ) )
!= ( c_Nat_Osize__class_Osize @ SV1139 @ ( tc_List_Olist @ SV1328 ) ) )
| ( ( c_Map_Omap__upds @ SV1425 @ ( c_List_Oappend @ SV410 @ SV1466 @ SV823 ) @ SV1139 @ SV823 @ SV1328 )
= ( c_Map_Omap__upds @ SV1425 @ SV410 @ SV1139 @ SV823 @ SV1328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3167]) ).
thf(3335,plain,
! [SV1426: $i,SV1329: $i,SV1140: $i,SV824: $i,SV411: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV411 ) )
= $true )
| ( ( ( ( c_HOL_Ominus__class_Ominus @ SV824 @ SV1140 @ SV411 )
!= ( c_HOL_Ominus__class_Ominus @ SV1329 @ SV1426 @ SV411 ) )
| ( c_lessequals @ SV1426 @ SV1329 @ SV411 )
| ~ ( c_lessequals @ SV1140 @ SV824 @ SV411 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3168]) ).
thf(3336,plain,
! [SV1330: $i,SV1141: $i,SV826: $i,SV413: $i] :
( ( ( class_OrderedGroup_Oab__group__add @ SV413 )
= $false )
| ( ( ( ( c_HOL_Ominus__class_Ominus @ SV826 @ SV1141 @ SV413 )
!= ( c_HOL_Ominus__class_Ominus @ SV1330 @ SV1330 @ SV413 ) )
| ( SV826 = SV1141 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3169]) ).
thf(3337,plain,
! [SV1467: $i,SV1427: $i,SV1331: $i,SV1142: $i,SV827: $i,SV414: $i] :
( ( ! [SY3753: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SV827 ) )
!= ( c_Nat_Osize__class_Osize @ SV1142 @ ( tc_List_Olist @ SV1331 ) ) )
| ( c_List_Olist__all2 @ SV1427 @ SV1467 @ SY3753 @ SV827 @ SV1331 )
| ~ ( c_List_Olist__all2 @ SV1427 @ ( c_List_Oappend @ SV414 @ SV1467 @ SV827 ) @ ( c_List_Oappend @ SV1142 @ SY3753 @ SV1331 ) @ SV827 @ SV1331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3170]) ).
thf(3338,plain,
! [SV1428: $i,SV1332: $i,SV1144: $i,SV829: $i,SV417: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV417 ) )
= $true )
| ( ( ( ( c_HOL_Ominus__class_Ominus @ SV829 @ SV1144 @ SV417 )
!= ( c_HOL_Ominus__class_Ominus @ SV1332 @ SV1428 @ SV417 ) )
| ( c_lessequals @ SV1144 @ SV829 @ SV417 )
| ~ ( c_lessequals @ SV1428 @ SV1332 @ SV417 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3171]) ).
thf(3339,plain,
! [SV1429: $i,SV1333: $i,SV1146: $i,SV832: $i,SV420: $i] :
( ( ( ( c_List_Oappend @ SV420 @ ( c_List_Olist_OCons @ SV832 @ ( c_List_Olist_ONil @ SV1146 ) @ SV1146 ) @ SV1146 )
!= ( c_List_Oappend @ SV1333 @ ( c_List_Olist_OCons @ SV1429 @ ( c_List_Olist_ONil @ SV1146 ) @ SV1146 ) @ SV1146 ) )
= $true )
| ( ( SV420 = SV1333 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3173]) ).
thf(3340,plain,
! [SV1468: $i,SV1430: $i,SV1334: $i,SV1147: $i,SV834: $i,SV422: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV422 @ SV834 @ SV1147 )
!= ( c_Event_Oevent_OSays @ SV1334 @ SV1430 @ SV1468 ) )
| ( SV1147 = SV1468 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3174]) ).
thf(3341,plain,
! [SV1431: $i,SV1335: $i,SV1148: $i,SV835: $i,SV423: $i] :
( ( ( ( c_List_Ofilter @ SV423 @ SV835 @ SV1148 )
!= ( c_List_Olist_OCons @ SV1335 @ SV1431 @ SV1148 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV423 @ SV1335 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3175]) ).
thf(3342,plain,
! [SV1469: $i,SV1432: $i,SV1336: $i,SV1149: $i,SV836: $i,SV424: $i] :
( ( ! [SY3754: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1469 @ ( tc_List_Olist @ SV1336 ) ) )
| ( c_List_Olist__all2 @ SY3754 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SV1469 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SY3754 @ SV424 @ SV1149 @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SY3754 @ SV1432 @ SV1469 @ SV836 @ SV1336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3176]) ).
thf(3343,plain,
! [SV1470: $i,SV1433: $i,SV1337: $i,SV1150: $i,SV837: $i,SV425: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV425 @ ( tc_List_Olist @ SV837 ) )
!= ( c_Nat_Osize__class_Osize @ SV1150 @ ( tc_List_Olist @ SV1337 ) ) )
| ( ( c_Map_Omap__upds @ SV1433 @ SV425 @ ( c_List_Oappend @ SV1150 @ SV1470 @ SV1337 ) @ SV837 @ SV1337 )
= ( c_Map_Omap__upds @ SV1433 @ SV425 @ SV1150 @ SV837 @ SV1337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3177]) ).
thf(3344,plain,
! [SV1338: $i,SV1151: $i,SV838: $i,SV426: $i] :
( ( ( ( c_List_Olist__update @ SV426 @ SV838 @ SV1151 @ SV1338 )
= ( c_List_Olist_ONil @ SV1338 ) )
= $false )
| ( ( SV426
= ( c_List_Olist_ONil @ SV1338 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3178]) ).
thf(3345,plain,
! [SV1434: $i,SV1339: $i,SV1152: $i,SV839: $i,SV427: $i] :
( ( ( c_Event_Oevent_OGets @ SV427 @ SV839 )
= ( c_Event_Oevent_OSays @ SV1152 @ SV1339 @ SV1434 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3179]) ).
thf(3346,plain,
! [SV1340: $i,SV1153: $i,SV840: $i,SV428: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV428 @ SV840 )
= ( c_Event_Oevent_OGets @ SV1153 @ SV1340 ) )
= $false )
| ( ( SV428 = SV1153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3180]) ).
thf(3347,plain,
! [SV1160: $i,SV438: $i,SV849: $i,SV8: $i,SV1342: $i] :
( ( ( SV1342 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV8 @ ( hAPP @ SV849 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV8 @ SV849 @ SV1342 ) ) ) )
| ( SV1342 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV8 @ ( c_Message_Oagent_Oagent__case @ SV438 @ SV849 @ SV1160 @ SV1342 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3181]) ).
thf(3348,plain,
! [SV1161: $i,SV439: $i,SV850: $i,SV9: $i,SV1343: $i] :
( ( ( SV1343 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV9 @ ( hAPP @ SV850 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV9 @ SV850 @ SV1343 ) ) ) )
| ( SV1343 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV9 @ ( c_Message_Oagent_Oagent__case @ SV439 @ SV850 @ SV1161 @ SV1343 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3182]) ).
thf(3349,plain,
! [SV1163: $i,SV441: $i,SV852: $i,SV11: $i,SV1344: $i] :
( ( ( SV1344 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( SV1344
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV11 @ SV852 @ SV1344 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV11 @ SV441 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV11 @ ( c_Message_Oagent_Oagent__case @ SV441 @ SV852 @ SV1163 @ SV1344 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3183]) ).
thf(3350,plain,
! [SV1471: $i,SV1435: $i,SV1345: $i,SV1164: $i,SV853: $i,SV442: $i,SV12: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV12 @ SV442 @ SV853 @ SV1164 @ SV1345 )
= ( c_Message_Oagent_Oagent__case @ SV12 @ SV1435 @ SV1471 @ SV1164 @ SV1345 ) )
| ( SV1164 = c_Message_Oagent_OSpy )
| ( SV1164
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1164 @ SV442 @ SV1435 @ SV1345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3184]) ).
thf(3351,plain,
! [SV1165: $i,SV443: $i,SV854: $i,SV13: $i,SV1346: $i] :
( ( ( SV1346 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( SV1346
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV13 @ SV854 @ SV1346 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV13 @ SV443 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV13 @ ( c_Message_Oagent_Oagent__case @ SV443 @ SV854 @ SV1165 @ SV1346 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3185]) ).
thf(3352,plain,
! [SV444: $i,SV855: $i,SV1347: $i,SV1166: $i,SV14: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV14 @ SV1166 ) ) )
= $true )
| ( ( ( SV1347
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV14 @ SV855 @ SV1347 ) ) )
| ( SV1347 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV14 @ ( c_Message_Oagent_Oagent__case @ SV444 @ SV855 @ SV1166 @ SV1347 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3186]) ).
thf(3353,plain,
! [SV1472: $i,SV1436: $i,SV1348: $i,SV1167: $i,SV856: $i,SV445: $i,SV15: $i] :
( ( ( SV15
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV15 @ SV445 @ SV856 @ SV1167 ) ) )
| ( SV15 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1348 @ SV445 @ SV1436 @ SV15 @ SV1167 )
= ( c_Message_Oagent_Oagent__case @ SV1472 @ SV856 @ SV1436 @ SV15 @ SV1167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3187]) ).
thf(3354,plain,
! [SV446: $i,SV857: $i,SV1349: $i,SV1168: $i,SV16: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV16 @ SV1168 ) ) )
= $true )
| ( ( ( SV1349
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV16 @ SV857 @ SV1349 ) ) )
| ( SV1349 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV16 @ ( c_Message_Oagent_Oagent__case @ SV446 @ SV857 @ SV1168 @ SV1349 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3188]) ).
thf(3355,plain,
! [SV1350: $i,SV1170: $i,SV860: $i,SV449: $i,SV21: $i] :
( ( ( class_HOL_Oord @ SV21 )
= $false )
| ( ( ( c_lessequals @ ( hAPP @ SV449 @ SV860 ) @ ( hAPP @ SV1170 @ SV860 ) @ SV21 )
| ~ ( c_lessequals @ SV449 @ SV1170 @ ( tc_fun @ SV1350 @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3189]) ).
thf(3356,plain,
! [SV450: $i,SV1351: $i,SV861: $i,SV1171: $i,SV22: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV22 @ SV1171 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SV861 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SV861 @ SV1351 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV450 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV861 @ SV1171 @ SV1351 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3190]) ).
thf(3357,plain,
! [SV866: $i,SV29: $i,SV457: $i] :
( ( ( c_lessequals @ SV457 @ SV29 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV457 @ SV866 @ tc_nat )
= $false )
| ( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV29 @ SV457 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV866 @ SV457 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV29 @ SV866 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3193]) ).
thf(3358,plain,
! [SV33: $i,SV461: $i,SV869: $i] :
( ( ( ~ ( c_lessequals @ SV869 @ SV461 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV869 @ SV33 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV33 @ SV869 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV461 @ SV869 @ tc_nat ) @ tc_nat )
= $false )
| ( ( c_lessequals @ SV33 @ SV461 @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3194]) ).
thf(3359,plain,
! [SV34: $i,SV870: $i,SV462: $i] :
( ( ( ~ ( c_lessequals @ SV462 @ SV870 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV462 @ SV34 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV34 @ SV870 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV34 @ SV462 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV870 @ SV462 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3195]) ).
thf(3360,plain,
! [SV1177: $i,SV876: $i,SV468: $i,SV1352: $i,SV40: $i] :
( ( ( c_Fun_Oinj__on @ SV40 @ ( c_Set_Oinsert @ SV1352 @ SV468 @ SV876 ) @ SV876 @ SV1177 )
= $false )
| ( ( c_Fun_Oinj__on @ SV40 @ SV468 @ SV876 @ SV1177 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3198]) ).
thf(3361,plain,
! [SV474: $i,SV1180: $i,SV46: $i,SV882: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV882 @ SV46 @ SV1180 ) @ SV474 ) )
= $false )
| ( ( SV882 = SV474 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV46 @ SV474 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3201]) ).
thf(3362,plain,
! [SV885: $i,SV478: $i,SV50: $i] :
( ( ( c_lessequals @ SV50 @ SV478 @ ( tc_fun @ SV885 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV478 @ SV50 @ ( tc_fun @ SV885 @ tc_bool ) )
= $false )
| ( ( SV50 = SV478 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3202]) ).
thf(3363,plain,
! [SV886: $i,SV480: $i,SV52: $i] :
( ( ( c_lessequals @ SV52 @ SV480 @ ( tc_fun @ SV886 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV480 @ SV52 @ ( tc_fun @ SV886 @ tc_bool ) )
= $false )
| ( ( SV52 = SV480 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3204]) ).
thf(3364,plain,
! [SV53: $i,SV481: $i,SV887: $i] :
( ( ( ~ ( c_lessequals @ SV887 @ SV481 @ SV53 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV481 @ SV887 @ SV53 ) )
= $true )
| ( ( SV481 = SV887 )
= $true )
| ( ( class_Orderings_Oorder @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3205]) ).
thf(3365,plain,
! [SV54: $i,SV482: $i,SV888: $i] :
( ( ( ~ ( c_lessequals @ SV888 @ SV482 @ SV54 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV482 @ SV888 @ SV54 ) )
= $true )
| ( ( SV482 = SV888 )
= $true )
| ( ( class_Orderings_Oorder @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3206]) ).
thf(3366,plain,
! [SV55: $i,SV889: $i,SV483: $i] :
( ( ( ~ ( c_lessequals @ SV483 @ SV889 @ SV55 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV889 @ SV483 @ SV55 ) )
= $true )
| ( ( SV483 = SV889 )
= $true )
| ( ( class_Orderings_Oorder @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3207]) ).
thf(3367,plain,
! [SV1182: $i,SV58: $i,SV892: $i,SV486: $i] :
( ( ( c_lessequals @ SV486 @ SV892 @ SV58 )
= $true )
| ( ( ~ ( c_lessequals @ SV486 @ SV1182 @ SV58 )
| ~ ( c_lessequals @ SV1182 @ SV892 @ SV58 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3208]) ).
thf(3368,plain,
! [SV1183: $i,SV59: $i,SV893: $i,SV487: $i] :
( ( ( c_lessequals @ SV487 @ SV893 @ SV59 )
= $true )
| ( ( ~ ( c_lessequals @ SV1183 @ SV893 @ SV59 )
| ~ ( c_lessequals @ SV487 @ SV1183 @ SV59 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3209]) ).
thf(3369,plain,
! [SV488: $i,SV894: $i,SV61: $i] :
( ( ( c_lessequals @ SV61 @ SV894 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV894 @ SV488 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV61 @ SV488 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3210]) ).
thf(3370,plain,
! [SV65: $i,SV895: $i,SV491: $i,SV1184: $i] :
( ( ( c_lessequals @ SV1184 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV65 @ SV1184 @ ( tc_fun @ SV895 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV65 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3211]) ).
thf(3371,plain,
! [SV1185: $i,SV66: $i,SV896: $i,SV1353: $i,SV492: $i] :
( ( ( ~ ( c_lessequals @ SV492 @ SV1353 @ ( tc_fun @ SV896 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_Fun_Oinj__on @ SV66 @ SV1353 @ SV896 @ SV1185 ) )
= $true )
| ( ( c_Fun_Oinj__on @ SV66 @ SV492 @ SV896 @ SV1185 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3212]) ).
thf(3372,plain,
! [SV1186: $i,SV67: $i,SV493: $i,SV897: $i] :
( ( ( hBOOL @ ( hAPP @ SV897 @ SV493 ) )
= $false )
| ( ( ~ ( c_lessequals @ SV897 @ SV67 @ ( tc_fun @ SV1186 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV67 @ SV493 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3213]) ).
thf(3373,plain,
! [SV496: $i,SV1187: $i,SV70: $i,SV898: $i] :
( ( ( c_lessequals @ SV898 @ SV70 @ ( tc_fun @ SV1187 @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV898 @ SV496 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV70 @ SV496 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3374,plain,
! [SV497: $i,SV1354: $i,SV899: $i,SV1188: $i,SV71: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ SV1188 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV899 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SV899 @ SV1354 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SV497 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SV497 @ SV899 @ SV1188 @ SV1354 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3215]) ).
thf(3375,plain,
! [SV1190: $i,SV88: $i,SV913: $i,SV514: $i] :
( ( ( c_lessequals @ SV514 @ SV913 @ SV88 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV514 @ ( c_List_Olist_OCons @ SV913 @ SV1190 @ SV88 ) @ SV88 ) @ SV88 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3218]) ).
thf(3376,plain,
! [SV89: $i,SV1191: $i,SV914: $i,SV515: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV515 @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 ) @ SV89 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 )
| ~ ( c_lessequals @ SV515 @ SV914 @ SV89 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3219]) ).
thf(3377,plain,
! [SV1194: $i,SV524: $i,SV922: $i,SV98: $i,SV1355: $i] :
( ( ( SV1355 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV98 @ ( hAPP @ SV922 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV98 @ SV922 @ SV1355 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ SV524 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ ( c_Message_Oagent_Oagent__case @ SV524 @ SV922 @ SV1194 @ SV1355 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3221]) ).
thf(3378,plain,
! [SV1195: $i,SV525: $i,SV923: $i,SV99: $i,SV1356: $i] :
( ( ( SV1356 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV99 @ ( hAPP @ SV923 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV99 @ SV923 @ SV1356 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV99 @ SV525 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV99 @ ( c_Message_Oagent_Oagent__case @ SV525 @ SV923 @ SV1195 @ SV1356 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3222]) ).
thf(3379,plain,
! [SV529: $i,SV1357: $i,SV927: $i,SV1197: $i,SV103: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV103 @ SV1197 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV103 @ ( hAPP @ SV927 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV103 @ SV927 @ SV1357 ) ) ) )
| ( SV1357 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Message_Oagent_Oagent__case @ SV529 @ SV927 @ SV1197 @ SV1357 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3223]) ).
thf(3380,plain,
! [SV530: $i,SV1358: $i,SV928: $i,SV1198: $i,SV104: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV104 @ SV1198 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV104 @ ( hAPP @ SV928 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV104 @ SV928 @ SV1358 ) ) ) )
| ( SV1358 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Message_Oagent_Oagent__case @ SV530 @ SV928 @ SV1198 @ SV1358 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3224]) ).
thf(3381,plain,
! [SV1437: $i,SV1359: $i,SV1199: $i,SV929: $i,SV531: $i,SV105: $i] :
( ( ( SV105
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV105 @ SV531 @ SV929 @ SV1199 ) ) )
= $true )
| ( ( ( c_Message_Oagent_Oagent__case @ SV1359 @ SV531 @ SV1437 @ SV105 @ SV1199 )
= ( c_Message_Oagent_Oagent__case @ SV1359 @ SV929 @ SV1437 @ SV105 @ SV1199 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3225]) ).
thf(3382,plain,
! [SV532: $i,SV930: $i,SV1360: $i,SV1200: $i,SV106: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV106 @ SV1200 ) ) )
= $true )
| ( ( ( SV1360
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV106 @ SV930 @ SV1360 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SV532 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV106 @ ( c_Message_Oagent_Oagent__case @ SV532 @ SV930 @ SV1200 @ SV1360 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3226]) ).
thf(3383,plain,
! [SV533: $i,SV931: $i,SV1361: $i,SV1201: $i,SV107: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV107 @ SV1201 ) ) )
= $true )
| ( ( ( SV1361
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV107 @ SV931 @ SV1361 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SV533 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV107 @ ( c_Message_Oagent_Oagent__case @ SV533 @ SV931 @ SV1201 @ SV1361 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3227]) ).
thf(3384,plain,
! [SV120: $i,SV1202: $i,SV932: $i,SV546: $i] :
( ( ( ( c_Finite__Set_Osetsum @ SV546 @ ( c_List_Oset @ SV932 @ SV1202 ) @ SV1202 @ SV120 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV546 @ SV932 @ SV1202 @ SV120 ) @ SV120 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV932 @ SV1202 ) )
= $true )
| ( ( class_OrderedGroup_Ocomm__monoid__add @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3239]) ).
thf(3385,plain,
! [SV1203: $i,SV552: $i,SV937: $i,SV126: $i,SV1362: $i] :
( ( ( SV1362 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( SV1362
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV937 @ SV1362 ) ) )
| ( SV1362 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV552 @ SV937 @ SV1203 @ SV1362 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3240]) ).
thf(3386,plain,
! [SV1473: $i,SV1438: $i,SV1363: $i,SV1204: $i,SV938: $i,SV553: $i,SV127: $i] :
( ( ! [SY3755: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SV553 @ SV938 @ SV1204 @ SV1363 )
= ( c_Message_Oagent_Oagent__case @ SV1438 @ SV1473 @ SY3755 @ SV1204 @ SV1363 ) )
| ( SV1204 = c_Message_Oagent_OSpy )
| ( SV1204
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1204 @ SV553 @ SV1473 @ SV1363 ) ) )
| ( SV1204 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3241]) ).
thf(3387,plain,
! [SV1205: $i,SV554: $i,SV939: $i,SV128: $i,SV1364: $i] :
( ( ( SV1364 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( SV1364
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV128 @ SV939 @ SV1364 ) ) )
| ( SV1364 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV128 @ ( c_Message_Oagent_Oagent__case @ SV554 @ SV939 @ SV1205 @ SV1364 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3242]) ).
thf(3388,plain,
! [SV557: $i,SV131: $i,SV941: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV941 @ SV131 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SV557 @ SV941 @ SV131 ) @ SV131 )
= $true )
| ( ( class_Orderings_Olinorder @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3389,plain,
! [SV1439: $i,SV1366: $i,SV1207: $i,SV944: $i,SV560: $i,SV134: $i] :
( ( ( c_List_Olist__all2 @ SV134 @ ( c_List_Otake @ SV560 @ SV944 @ SV1207 ) @ ( c_List_Otake @ SV560 @ SV1366 @ SV1439 ) @ SV1207 @ SV1439 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV134 @ SV944 @ SV1366 @ SV1207 @ SV1439 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3244]) ).
thf(3390,plain,
! [SV1210: $i,SV138: $i,SV948: $i,SV564: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1210 @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 ) @ SV138 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3247]) ).
thf(3391,plain,
! [SV1474: $i,SV1441: $i,SV1368: $i,SV1211: $i,SV949: $i,SV565: $i,SV139: $i] :
( ( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SV565 @ SV949 @ SV1211 ) @ ( c_List_Oappend @ SV1368 @ SV1441 @ SV1474 ) @ SV1211 @ SV1474 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV949 @ SV1441 @ SV1211 @ SV1474 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV565 @ SV1368 @ SV1211 @ SV1474 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3248]) ).
thf(3392,plain,
! [SV1475: $i,SV1443: $i,SV1373: $i,SV1218: $i,SV960: $i,SV578: $i,SV152: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV152 @ SV578 ) @ SV960 ) )
| ~ ( c_List_Olist__all2 @ SV152 @ ( c_List_Olist_OCons @ SV578 @ SV1218 @ SV1373 ) @ ( c_List_Olist_OCons @ SV960 @ SV1443 @ SV1475 ) @ SV1373 @ SV1475 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3250]) ).
thf(3393,plain,
! [SV1222: $i,SV965: $i,SV583: $i,SV157: $i] :
( ( ( c_Fun_Oinj__on @ SV157 @ ( c_List_Oset @ SV583 @ SV965 ) @ SV965 @ SV1222 )
= $false )
| ( ( ~ ( c_List_Odistinct @ SV583 @ SV965 ) )
= $true )
| ( ( c_List_Odistinct @ ( c_List_Omap @ SV157 @ SV583 @ SV965 @ SV1222 ) @ SV1222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3251]) ).
thf(3394,plain,
! [SV159: $i,SV585: $i,SV967: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV967 @ SV585 @ SV159 ) @ SV159 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV585 @ SV159 )
= $true )
| ( ( class_Orderings_Olinorder @ SV159 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3252]) ).
thf(3395,plain,
! [SV596: $i,SV1228: $i,SV977: $i,SV170: $i] :
( ( ( c_List_Olist__all @ SV170 @ SV977 @ SV1228 )
= $false )
| ( ( ~ ( c_List_Olist__all @ SV170 @ SV596 @ SV1228 ) )
= $true )
| ( ( c_List_Olist__all @ SV170 @ ( c_List_Oappend @ SV596 @ SV977 @ SV1228 ) @ SV1228 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3256]) ).
thf(3396,plain,
! [SV610: $i,SV187: $i,SV989: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV989 @ SV187 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SV610 @ SV989 @ SV187 ) @ SV187 )
= $true )
| ( ( class_Orderings_Olinorder @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3263]) ).
thf(3397,plain,
! [SV1476: $i,SV1446: $i,SV1377: $i,SV1236: $i,SV990: $i,SV611: $i,SV188: $i] :
( ( ( c_List_Olist__all2 @ SV188 @ SV611 @ SV990 @ SV1236 @ SV1377 )
| ~ ( c_List_Olist__all2 @ SV188 @ ( c_List_Olist_OCons @ SV1446 @ SV611 @ SV1236 ) @ ( c_List_Olist_OCons @ SV1476 @ SV990 @ SV1377 ) @ SV1236 @ SV1377 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3264]) ).
thf(3398,plain,
! [SV1477: $i,SV1448: $i,SV1381: $i,SV1242: $i,SV1000: $i,SV621: $i,SV198: $i] :
( ( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SV621 @ SV1000 @ SV1242 ) @ ( c_List_Olist_OCons @ SV1381 @ SV1448 @ SV1477 ) @ SV1242 @ SV1477 )
| ~ ( c_List_Olist__all2 @ SV198 @ SV1000 @ SV1448 @ SV1242 @ SV1477 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SV621 ) @ SV1381 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3267]) ).
thf(3399,plain,
! [SV1478: $i,SV1449: $i,SV1382: $i,SV1243: $i,SV1001: $i,SV622: $i,SV199: $i] :
( ( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SV622 @ SV1001 @ SV1243 ) @ ( c_List_Olist_OCons @ SV1382 @ SV1449 @ SV1478 ) @ SV1243 @ SV1478 )
| ~ ( c_List_Olist__all2 @ SV199 @ SV1001 @ SV1449 @ SV1243 @ SV1478 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SV622 ) @ SV1382 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3268]) ).
thf(3400,plain,
! [SV1479: $i,SV1450: $i,SV1383: $i,SV1244: $i,SV1002: $i,SV623: $i,SV200: $i] :
( ( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SV623 @ SV1002 @ SV1244 ) @ ( c_List_Olist_OCons @ SV1383 @ SV1450 @ SV1479 ) @ SV1244 @ SV1479 )
| ~ ( c_List_Olist__all2 @ SV200 @ SV1002 @ SV1450 @ SV1244 @ SV1479 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SV623 ) @ SV1383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3269]) ).
thf(3401,plain,
! [SV1004: $i,SV625: $i,SV1246: $i,SV202: $i] :
( ( ( c_List_Olist__ex @ SV202 @ ( c_List_Olist_OCons @ SV1246 @ SV625 @ SV1004 ) @ SV1004 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV202 @ SV1246 ) )
= $true )
| ( ( c_List_Olist__ex @ SV202 @ SV625 @ SV1004 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3271]) ).
thf(3402,plain,
! [SV1247: $i,SV626: $i,SV1005: $i,SV203: $i,SV1384: $i] :
( ( ( c_List_Olist__all2 @ SV1384 @ SV203 @ SV1005 @ SV626 @ SV1247 )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV203 @ ( tc_List_Olist @ SV626 ) )
= ( c_Nat_Osize__class_Osize @ SV1005 @ ( tc_List_Olist @ SV1247 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3272]) ).
thf(3403,plain,
! [SV1451: $i,SV1385: $i,SV1249: $i,SV1007: $i,SV628: $i,SV205: $i] :
( ( ( c_List_Olistrelp @ SV205 @ ( c_List_Olist_OCons @ SV628 @ SV1007 @ SV1249 ) @ ( c_List_Olist_OCons @ SV1385 @ SV1451 @ SV1249 ) @ SV1249 )
= $true )
| ( ( ~ ( c_List_Olistrelp @ SV205 @ SV1007 @ SV1451 @ SV1249 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV205 @ SV628 ) @ SV1385 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3274]) ).
thf(3404,plain,
! [SV1452: $i,SV1387: $i,SV1256: $i,SV1018: $i,SV640: $i,SV217: $i] :
( ( ( c_List_Olist__all2 @ SV217 @ ( c_List_Odrop @ SV640 @ SV1018 @ SV1256 ) @ ( c_List_Odrop @ SV640 @ SV1387 @ SV1452 ) @ SV1256 @ SV1452 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV217 @ SV1018 @ SV1387 @ SV1256 @ SV1452 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3277]) ).
thf(3405,plain,
! [SV651: $i,SV1261: $i,SV1026: $i,SV228: $i] :
( ( ( c_List_Olistsp @ SV228 @ SV1026 @ SV1261 )
= $false )
| ( ( ~ ( c_List_Olistsp @ SV228 @ SV651 @ SV1261 ) )
= $true )
| ( ( c_List_Olistsp @ SV228 @ ( c_List_Oappend @ SV651 @ SV1026 @ SV1261 ) @ SV1261 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3280]) ).
thf(3406,plain,
! [SV1389: $i,SV1262: $i,SV1028: $i,SV653: $i,SV230: $i] :
( ( ( hBOOL @ ( hAPP @ SV230 @ ( c_Message_Oagent_Oagent__case @ SV653 @ SV1028 @ SV1262 @ ( c_Message_Oagent_OFriend @ SV1389 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV230 @ ( hAPP @ SV1028 @ SV1389 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3281]) ).
thf(3407,plain,
! [SV1390: $i,SV1263: $i,SV1029: $i,SV654: $i,SV231: $i] :
( ( ( hBOOL @ ( hAPP @ SV231 @ ( c_Message_Oagent_Oagent__case @ SV654 @ SV1029 @ SV1263 @ ( c_Message_Oagent_OFriend @ SV1390 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV231 @ ( hAPP @ SV1029 @ SV1390 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3282]) ).
thf(3408,plain,
! [SV239: $i,SV1036: $i,SV662: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV662 @ SV1036 @ SV239 ) @ SV239 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV662 @ SV239 )
= $true )
| ( ( class_Orderings_Olinorder @ SV239 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3284]) ).
thf(3409,plain,
! [SV240: $i,SV663: $i,SV1037: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1037 @ SV663 @ SV240 ) @ SV240 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV663 @ SV240 )
= $true )
| ( ( class_Orderings_Olinorder @ SV240 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3285]) ).
thf(3410,plain,
! [SV664: $i,SV1267: $i,SV1038: $i,SV241: $i] :
( ( ( c_List_Olist__all @ SV241 @ SV1038 @ SV1267 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV241 @ SV664 ) ) )
= $true )
| ( ( c_List_Olist__all @ SV241 @ ( c_List_Olist_OCons @ SV664 @ SV1038 @ SV1267 ) @ SV1267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3286]) ).
thf(3411,plain,
! [SV1455: $i,SV1394: $i,SV1268: $i,SV1039: $i,SV665: $i,SV242: $i] :
( ( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SV665 @ SV1039 @ SV1268 ) @ SV1394 @ SV1455 @ SV1268 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV242 @ SV1394 @ SV1455 @ SV1268 ) @ SV665 @ SV1039 @ SV1268 ) )
= $true )
| ( ( SV665 = SV1394 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3287]) ).
thf(3412,plain,
! [SV1396: $i,SV1275: $i,SV1048: $i,SV677: $i,SV254: $i] :
( ( ( hBOOL @ ( hAPP @ SV254 @ ( c_List_Olist_Olist__case @ SV677 @ SV1048 @ ( c_List_Olist_OCons @ SV1275 @ SV1396 @ t_b ) @ t_a @ t_b ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV254 @ ( hAPP @ ( hAPP @ SV1048 @ SV1275 ) @ SV1396 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3291]) ).
thf(3413,plain,
! [SV1397: $i,SV1276: $i,SV1049: $i,SV678: $i,SV255: $i] :
( ( ( hBOOL @ ( hAPP @ SV255 @ ( c_List_Olist_Olist__case @ SV678 @ SV1049 @ ( c_List_Olist_OCons @ SV1276 @ SV1397 @ t_b ) @ t_a @ t_b ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV255 @ ( hAPP @ ( hAPP @ SV1049 @ SV1276 ) @ SV1397 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3292]) ).
thf(3414,plain,
! [SV679: $i,SV256: $i,SV1050: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1050 @ SV256 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV679 @ SV1050 @ SV256 ) @ SV256 )
= $true )
| ( ( class_Orderings_Olinorder @ SV256 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3293]) ).
thf(3415,plain,
! [SV686: $i,SV263: $i,SV1056: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1056 @ SV263 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV686 @ SV1056 @ SV263 ) @ SV263 )
= $true )
| ( ( class_Orderings_Olinorder @ SV263 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3294]) ).
thf(3416,plain,
! [SV1291: $i,SV747: $i,SV1399: $i,SV1080: $i,SV329: $i] :
( ( ( c_List_Olist__all2 @ SV329 @ SV1080 @ SV1399 @ SV747 @ SV1291 )
= $false )
| ( ( c_List_Olist__all2 @ SV329 @ ( hAPP @ ( c_List_Orev @ SV747 ) @ SV1080 ) @ ( hAPP @ ( c_List_Orev @ SV1291 ) @ SV1399 ) @ SV747 @ SV1291 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3296]) ).
thf(3417,plain,
! [SV1081: $i,SV1400: $i,SV748: $i,SV1292: $i,SV330: $i] :
( ( ( c_List_Olist__all2 @ SV330 @ ( hAPP @ ( c_List_Orev @ SV1292 ) @ SV748 ) @ ( hAPP @ ( c_List_Orev @ SV1400 ) @ SV1081 ) @ SV1292 @ SV1400 )
= $false )
| ( ( c_List_Olist__all2 @ SV330 @ SV748 @ SV1081 @ SV1292 @ SV1400 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3297]) ).
thf(3418,plain,
! [SV754: $i,SV1294: $i,SV1401: $i,SV1084: $i,SV336: $i] :
( ( ( c_List_Olist__all2 @ SV336 @ SV1084 @ ( hAPP @ ( c_List_Orev @ SV1401 ) @ SV1294 ) @ SV754 @ SV1401 )
= $false )
| ( ( c_List_Olist__all2 @ SV336 @ ( hAPP @ ( c_List_Orev @ SV754 ) @ SV1084 ) @ SV1294 @ SV754 @ SV1401 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3298]) ).
thf(3419,plain,
! [SV1085: $i,SV1295: $i,SV755: $i,SV1402: $i,SV337: $i] :
( ( ( c_List_Olist__all2 @ SV337 @ ( hAPP @ ( c_List_Orev @ SV1402 ) @ SV755 ) @ SV1295 @ SV1402 @ SV1085 )
= $false )
| ( ( c_List_Olist__all2 @ SV337 @ SV755 @ ( hAPP @ ( c_List_Orev @ SV1085 ) @ SV1295 ) @ SV1402 @ SV1085 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3299]) ).
thf(3420,plain,
! [SV1480: $i,SV1456: $i,SV1403: $i,SV1297: $i,SV1089: $i,SV768: $i,SV353: $i] :
( ( ( ( hAPP @ SV353 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) )
!= ( hAPP @ SV1089 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) ) )
| ( ( c_Message_Oagent_Oagent__case @ SV1403 @ SV353 @ SV1456 @ SV768 @ SV1297 )
= ( c_Message_Oagent_Oagent__case @ SV1403 @ SV1089 @ SV1480 @ SV768 @ SV1297 ) )
| ( SV768 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3301]) ).
thf(3421,plain,
! [SV1481: $i,SV1457: $i,SV1404: $i,SV1298: $i,SV1090: $i,SV769: $i,SV354: $i] :
( ( ! [SY3756: $i] :
( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) )
!= ( hAPP @ SV1090 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) ) )
| ( SV769 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1404 @ SV354 @ SV1457 @ SV769 @ SV1298 )
= ( c_Message_Oagent_Oagent__case @ SV1481 @ SV1090 @ SY3756 @ SV769 @ SV1298 ) )
| ( SV769 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3302]) ).
thf(3422,plain,
! [SV1458: $i,SV1405: $i,SV1299: $i,SV1091: $i,SV770: $i,SV355: $i] :
( ( ( ( hAPP @ SV355 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SV1299 ) )
!= ( hAPP @ SV1091 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SV1299 ) ) )
= $true )
| ( ( ( c_Message_Oagent_Oagent__case @ SV1405 @ SV355 @ SV1458 @ SV770 @ SV1299 )
= ( c_Message_Oagent_Oagent__case @ SV1405 @ SV1091 @ SV1458 @ SV770 @ SV1299 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3303]) ).
thf(3423,plain,
! [SV1300: $i,SV358: $i,SV773: $i,SV1093: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV773 ) ) @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ tc_nat )
= $true )
| ( ( ( c_List_Oappend @ SV1093 @ SV1300 @ SV773 )
= ( c_List_Oappend @ SV358 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SV1093 @ SV773 ) @ SV1300 @ SV773 ) @ SV773 ) )
= $true )
| ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV358 @ ( tc_List_Olist @ SV773 ) ) @ SV1093 @ SV773 )
= SV358 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3304]) ).
thf(3424,plain,
! [SV1406: $i,SV1301: $i,SV1097: $i,SV777: $i,SV362: $i] :
( ( ( ( c_List_Oappend @ SV362 @ SV777 @ SV1097 )
= ( c_List_Oappend @ SV1301 @ SV1406 @ SV1097 ) )
= $false )
| ( ( ( SV777
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ SV1301 @ SV1097 ) @ SV1406 @ SV1097 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ ( c_Nat_Osize__class_Osize @ SV1301 @ ( tc_List_Olist @ SV1097 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3305]) ).
thf(3425,plain,
! [SV1407: $i,SV1302: $i,SV1104: $i,SV785: $i,SV371: $i] :
( ( ( ( c_List_Oappend @ SV371 @ SV785 @ SV1104 )
= ( c_List_Oappend @ SV1302 @ SV1407 @ SV1104 ) )
= $false )
| ( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1302 @ ( tc_List_Olist @ SV1104 ) ) @ SV371 @ SV1104 )
= SV1302 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV371 @ ( tc_List_Olist @ SV1104 ) ) @ ( c_Nat_Osize__class_Osize @ SV1302 @ ( tc_List_Olist @ SV1104 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3306]) ).
thf(3426,plain,
! [SV1408: $i,SV1304: $i,SV1107: $i,SV788: $i,SV375: $i] :
( ( ( ( c_List_Omap @ SV375 @ SV788 @ SV1107 @ SV1304 )
= ( c_List_Omap @ SV375 @ SV1408 @ SV1107 @ SV1304 ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV788 @ ( tc_List_Olist @ SV1107 ) )
= ( c_Nat_Osize__class_Osize @ SV1408 @ ( tc_List_Olist @ SV1107 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3308]) ).
thf(3427,plain,
! [SV1108: $i,SV376: $i,SV789: $i] :
( ( ( ( c_List_Oset @ SV789 @ SV376 )
= ( c_List_Oset @ SV1108 @ SV376 ) )
= $false )
| ( ( ~ ( c_List_Odistinct @ SV1108 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
| ~ ( c_List_Odistinct @ SV789 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3309]) ).
thf(3428,plain,
! [SV1409: $i,SV1305: $i,SV1109: $i,SV790: $i,SV377: $i] :
( ( ( ( c_List_Oappend @ SV377 @ SV790 @ SV1109 )
= ( c_List_Oappend @ SV1305 @ SV1409 @ SV1109 ) )
= $false )
| ( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1305 @ ( tc_List_Olist @ SV1109 ) ) @ SV377 @ SV1109 ) @ SV790 @ SV1109 )
= SV1409 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV377 @ ( tc_List_Olist @ SV1109 ) ) @ ( c_Nat_Osize__class_Osize @ SV1305 @ ( tc_List_Olist @ SV1109 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3310]) ).
thf(3429,plain,
! [SV1410: $i,SV1306: $i,SV1110: $i,SV791: $i,SV378: $i] :
( ( ( ( c_List_Olist_OCons @ SV378 @ SV791 @ SV1110 )
= ( c_List_Olist_OCons @ SV1306 @ SV1410 @ SV1110 ) )
= $false )
| ( ( SV791 = SV1410 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3311]) ).
thf(3430,plain,
! [SV1411: $i,SV1307: $i,SV1112: $i,SV793: $i,SV380: $i] :
( ( ( ( c_List_Oreplicate @ SV380 @ SV793 @ SV1112 )
= ( c_List_Oreplicate @ SV1307 @ SV1411 @ SV1112 ) )
= $false )
| ( ( SV380 = SV1307 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3312]) ).
thf(3431,plain,
! [SV1482: $i,SV1459: $i,SV1413: $i,SV1310: $i,SV1115: $i,SV797: $i,SV384: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
!= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SV1310 ) ) )
| ( c_List_Olist__all2 @ SV1413 @ ( c_List_Oappend @ SV384 @ SV1459 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SV1482 @ SV1310 ) @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SV1459 @ SV1482 @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SV384 @ SV1115 @ SV797 @ SV1310 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3315]) ).
thf(3432,plain,
! [SV1414: $i,SV1311: $i,SV1117: $i,SV800: $i,SV387: $i] :
( ( ( ( c_List_Oappend @ SV387 @ ( c_List_Olist_OCons @ SV800 @ ( c_List_Olist_ONil @ SV1117 ) @ SV1117 ) @ SV1117 )
= ( c_List_Oappend @ SV1311 @ ( c_List_Olist_OCons @ SV1414 @ ( c_List_Olist_ONil @ SV1117 ) @ SV1117 ) @ SV1117 ) )
= $false )
| ( ( SV800 = SV1414 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3316]) ).
thf(3433,plain,
! [SV1312: $i,SV1119: $i,SV802: $i,SV389: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 )
!= SV389 )
= $true )
| ( ( ( SV1119
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) )
| ( ( c_List_Oappend @ SV1119 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= ( c_List_Oappend @ SV389 @ SV1312 @ SV802 ) ) )
= $true )
| ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= SV1312 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3317]) ).
thf(3434,plain,
! [SV390: $i,SV1120: $i,SV803: $i] :
( ( ( c_lessequals @ SV803 @ SV1120 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV803 @ SV390 @ tc_nat )
| ( SV390 = SV1120 ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV390 @ SV803 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV1120 @ SV803 @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3318]) ).
thf(3435,plain,
! [SV1415: $i,SV1314: $i,SV1122: $i,SV805: $i,SV392: $i] :
( ( ( ( c_List_Olist_OCons @ SV392 @ SV805 @ SV1122 )
= ( c_List_Ofilter @ SV1314 @ SV1415 @ SV1122 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV1314 @ SV392 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3320]) ).
thf(3436,plain,
! [SV1416: $i,SV1316: $i,SV1125: $i,SV808: $i,SV395: $i] :
( ( ( ( c_List_Olist_OCons @ SV395 @ SV808 @ SV1125 )
= ( c_List_Olist_OCons @ SV1316 @ SV1416 @ SV1125 ) )
= $false )
| ( ( SV395 = SV1316 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3322]) ).
thf(3437,plain,
! [SV1317: $i,SV1126: $i,SV810: $i,SV397: $i] :
( ( ( ( c_List_Oappend @ SV397 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) @ SV1317 @ SV810 ) @ SV810 )
= ( c_List_Oappend @ SV1126 @ SV1317 @ SV810 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1126 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) )
= $true )
| ( ( SV397
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3323]) ).
thf(3438,plain,
! [SV1460: $i,SV1417: $i,SV1318: $i,SV1127: $i,SV811: $i,SV398: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV398 @ SV811 @ SV1127 )
!= ( c_Event_Oevent_OSays @ SV1318 @ SV1417 @ SV1460 ) )
= $true )
| ( ( SV811 = SV1417 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3324]) ).
thf(3439,plain,
! [SV1418: $i,SV1319: $i,SV1128: $i,SV812: $i,SV399: $i] :
( ( ( ( c_List_Oappend @ SV399 @ SV812 @ SV1128 )
= ( c_List_Oappend @ SV1319 @ SV1418 @ SV1128 ) )
= $false )
| ( ( ( SV399
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ SV1319 @ SV1128 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ ( c_Nat_Osize__class_Osize @ SV1319 @ ( tc_List_Olist @ SV1128 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3325]) ).
thf(3440,plain,
! [SV1483: $i,SV1461: $i,SV1419: $i,SV1320: $i,SV1130: $i,SV814: $i,SV401: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SV814 ) )
!= ( c_Nat_Osize__class_Osize @ SV1130 @ ( tc_List_Olist @ SV1320 ) ) )
| ( c_List_Olist__all2 @ SV1419 @ SV401 @ SV1130 @ SV814 @ SV1320 )
| ~ ( c_List_Olist__all2 @ SV1419 @ ( c_List_Oappend @ SV401 @ SV1461 @ SV814 ) @ ( c_List_Oappend @ SV1130 @ SV1483 @ SV1320 ) @ SV814 @ SV1320 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3326]) ).
thf(3441,plain,
! [SV1484: $i,SV1462: $i,SV1420: $i,SV1321: $i,SV1131: $i,SV815: $i,SV402: $i] :
( ( ( ( hAPP @ SV402 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) )
!= ( hAPP @ SV1131 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) ) )
| ( SV815 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1420 @ SV402 @ SV1462 @ SV815 @ SV1321 )
= ( c_Message_Oagent_Oagent__case @ SV1484 @ SV1131 @ SV1462 @ SV815 @ SV1321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3327]) ).
thf(3442,plain,
! [SV1463: $i,SV1421: $i,SV1322: $i,SV1132: $i,SV816: $i,SV403: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV403 @ SV816 @ SV1132 )
!= ( c_Event_Oevent_OSays @ SV1322 @ SV1421 @ SV1463 ) )
= $true )
| ( ( SV403 = SV1322 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3328]) ).
thf(3443,plain,
! [SV1323: $i,SV1133: $i,SV404: $i,SV817: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV817 @ SV817 @ SV404 )
!= ( c_HOL_Ominus__class_Ominus @ SV1133 @ SV1323 @ SV404 ) )
= $true )
| ( ( SV1133 = SV1323 )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV404 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3329]) ).
thf(3444,plain,
! [SV1422: $i,SV1324: $i,SV1134: $i,SV818: $i,SV405: $i] :
( ( ( ( c_List_OdropWhile @ SV405 @ SV818 @ SV1134 )
= ( c_List_Olist_OCons @ SV1324 @ SV1422 @ SV1134 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV405 @ SV1324 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3330]) ).
thf(3445,plain,
! [SV1464: $i,SV1423: $i,SV1325: $i,SV1135: $i,SV819: $i,SV406: $i] :
( ( ( ~ ( class_Divides_Oring__div @ SV406 ) )
= $true )
| ( ( ( ( c_Divides_Odiv__class_Omod @ SV819 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1325 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ SV1423 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1464 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1423 @ SV819 @ SV406 ) @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1464 @ SV1325 @ SV406 ) @ SV1135 @ SV406 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3331]) ).
thf(3446,plain,
! [SV1485: $i,SV1465: $i,SV1424: $i,SV1326: $i,SV1136: $i,SV820: $i,SV407: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1465 @ ( tc_List_Olist @ SV1326 ) ) )
| ( c_List_Olist__all2 @ SV1485 @ ( c_List_Oappend @ SV1465 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1136 @ SV407 @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1465 @ SV1424 @ SV1326 @ SV820 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3332]) ).
thf(3447,plain,
! [SV1466: $i,SV1425: $i,SV1328: $i,SV1139: $i,SV823: $i,SV410: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV410 @ ( tc_List_Olist @ SV823 ) )
!= ( c_Nat_Osize__class_Osize @ SV1139 @ ( tc_List_Olist @ SV1328 ) ) )
= $true )
| ( ( ( c_Map_Omap__upds @ SV1425 @ ( c_List_Oappend @ SV410 @ SV1466 @ SV823 ) @ SV1139 @ SV823 @ SV1328 )
= ( c_Map_Omap__upds @ SV1425 @ SV410 @ SV1139 @ SV823 @ SV1328 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3334]) ).
thf(3448,plain,
! [SV1426: $i,SV1329: $i,SV1140: $i,SV824: $i,SV411: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV411 )
= $false )
| ( ( ( ( c_HOL_Ominus__class_Ominus @ SV824 @ SV1140 @ SV411 )
!= ( c_HOL_Ominus__class_Ominus @ SV1329 @ SV1426 @ SV411 ) )
| ( c_lessequals @ SV1426 @ SV1329 @ SV411 )
| ~ ( c_lessequals @ SV1140 @ SV824 @ SV411 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3335]) ).
thf(3449,plain,
! [SV1330: $i,SV413: $i,SV1141: $i,SV826: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV826 @ SV1141 @ SV413 )
!= ( c_HOL_Ominus__class_Ominus @ SV1330 @ SV1330 @ SV413 ) )
= $true )
| ( ( SV826 = SV1141 )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV413 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3336]) ).
thf(3450,plain,
! [SV1486: $i,SV1467: $i,SV1427: $i,SV1331: $i,SV1142: $i,SV827: $i,SV414: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SV827 ) )
!= ( c_Nat_Osize__class_Osize @ SV1142 @ ( tc_List_Olist @ SV1331 ) ) )
| ( c_List_Olist__all2 @ SV1427 @ SV1467 @ SV1486 @ SV827 @ SV1331 )
| ~ ( c_List_Olist__all2 @ SV1427 @ ( c_List_Oappend @ SV414 @ SV1467 @ SV827 ) @ ( c_List_Oappend @ SV1142 @ SV1486 @ SV1331 ) @ SV827 @ SV1331 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3337]) ).
thf(3451,plain,
! [SV1428: $i,SV1332: $i,SV1144: $i,SV829: $i,SV417: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV417 )
= $false )
| ( ( ( ( c_HOL_Ominus__class_Ominus @ SV829 @ SV1144 @ SV417 )
!= ( c_HOL_Ominus__class_Ominus @ SV1332 @ SV1428 @ SV417 ) )
| ( c_lessequals @ SV1144 @ SV829 @ SV417 )
| ~ ( c_lessequals @ SV1428 @ SV1332 @ SV417 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3338]) ).
thf(3452,plain,
! [SV1429: $i,SV1333: $i,SV1146: $i,SV832: $i,SV420: $i] :
( ( ( ( c_List_Oappend @ SV420 @ ( c_List_Olist_OCons @ SV832 @ ( c_List_Olist_ONil @ SV1146 ) @ SV1146 ) @ SV1146 )
= ( c_List_Oappend @ SV1333 @ ( c_List_Olist_OCons @ SV1429 @ ( c_List_Olist_ONil @ SV1146 ) @ SV1146 ) @ SV1146 ) )
= $false )
| ( ( SV420 = SV1333 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3339]) ).
thf(3453,plain,
! [SV1468: $i,SV1430: $i,SV1334: $i,SV1147: $i,SV834: $i,SV422: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV422 @ SV834 @ SV1147 )
!= ( c_Event_Oevent_OSays @ SV1334 @ SV1430 @ SV1468 ) )
= $true )
| ( ( SV1147 = SV1468 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3340]) ).
thf(3454,plain,
! [SV1431: $i,SV1335: $i,SV1148: $i,SV835: $i,SV423: $i] :
( ( ( ( c_List_Ofilter @ SV423 @ SV835 @ SV1148 )
= ( c_List_Olist_OCons @ SV1335 @ SV1431 @ SV1148 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV423 @ SV1335 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3341]) ).
thf(3455,plain,
! [SV1487: $i,SV1469: $i,SV1432: $i,SV1336: $i,SV1149: $i,SV836: $i,SV424: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
| ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1469 @ ( tc_List_Olist @ SV1336 ) ) )
| ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SV1469 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV424 @ SV1149 @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV1432 @ SV1469 @ SV836 @ SV1336 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3342]) ).
thf(3456,plain,
! [SV1470: $i,SV1433: $i,SV1337: $i,SV1150: $i,SV837: $i,SV425: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV425 @ ( tc_List_Olist @ SV837 ) )
!= ( c_Nat_Osize__class_Osize @ SV1150 @ ( tc_List_Olist @ SV1337 ) ) )
= $true )
| ( ( ( c_Map_Omap__upds @ SV1433 @ SV425 @ ( c_List_Oappend @ SV1150 @ SV1470 @ SV1337 ) @ SV837 @ SV1337 )
= ( c_Map_Omap__upds @ SV1433 @ SV425 @ SV1150 @ SV837 @ SV1337 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3343]) ).
thf(3457,plain,
! [SV1160: $i,SV438: $i,SV1342: $i,SV849: $i,SV8: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV8 @ ( hAPP @ SV849 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV8 @ SV849 @ SV1342 ) ) ) ) )
= $true )
| ( ( SV1342 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1342 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV8 @ ( c_Message_Oagent_Oagent__case @ SV438 @ SV849 @ SV1160 @ SV1342 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3347]) ).
thf(3458,plain,
! [SV1161: $i,SV439: $i,SV1343: $i,SV850: $i,SV9: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV9 @ ( hAPP @ SV850 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV9 @ SV850 @ SV1343 ) ) ) ) )
= $true )
| ( ( SV1343 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1343 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV9 @ ( c_Message_Oagent_Oagent__case @ SV439 @ SV850 @ SV1161 @ SV1343 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3348]) ).
thf(3459,plain,
! [SV1163: $i,SV441: $i,SV852: $i,SV11: $i,SV1344: $i] :
( ( ( SV1344
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV11 @ SV852 @ SV1344 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV11 @ SV441 ) ) )
= $true )
| ( ( SV1344 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV11 @ ( c_Message_Oagent_Oagent__case @ SV441 @ SV852 @ SV1163 @ SV1344 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3349]) ).
thf(3460,plain,
! [SV1471: $i,SV1435: $i,SV1345: $i,SV1164: $i,SV853: $i,SV442: $i,SV12: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV12 @ SV442 @ SV853 @ SV1164 @ SV1345 )
= ( c_Message_Oagent_Oagent__case @ SV12 @ SV1435 @ SV1471 @ SV1164 @ SV1345 ) )
= $true )
| ( ( ( SV1164 = c_Message_Oagent_OSpy )
| ( SV1164
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1164 @ SV442 @ SV1435 @ SV1345 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3350]) ).
thf(3461,plain,
! [SV1165: $i,SV443: $i,SV854: $i,SV13: $i,SV1346: $i] :
( ( ( SV1346
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV13 @ SV854 @ SV1346 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV13 @ SV443 ) ) )
= $true )
| ( ( SV1346 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV13 @ ( c_Message_Oagent_Oagent__case @ SV443 @ SV854 @ SV1165 @ SV1346 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3351]) ).
thf(3462,plain,
! [SV444: $i,SV855: $i,SV1347: $i,SV1166: $i,SV14: $i] :
( ( ( hBOOL @ ( hAPP @ SV14 @ SV1166 ) )
= $false )
| ( ( ( SV1347
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV14 @ SV855 @ SV1347 ) ) )
| ( SV1347 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV14 @ ( c_Message_Oagent_Oagent__case @ SV444 @ SV855 @ SV1166 @ SV1347 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3352]) ).
thf(3463,plain,
! [SV1472: $i,SV1436: $i,SV1348: $i,SV1167: $i,SV856: $i,SV445: $i,SV15: $i] :
( ( ( SV15
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV15 @ SV445 @ SV856 @ SV1167 ) ) )
= $true )
| ( ( ( SV15 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1348 @ SV445 @ SV1436 @ SV15 @ SV1167 )
= ( c_Message_Oagent_Oagent__case @ SV1472 @ SV856 @ SV1436 @ SV15 @ SV1167 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3353]) ).
thf(3464,plain,
! [SV446: $i,SV857: $i,SV1349: $i,SV1168: $i,SV16: $i] :
( ( ( hBOOL @ ( hAPP @ SV16 @ SV1168 ) )
= $false )
| ( ( ( SV1349
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV16 @ SV857 @ SV1349 ) ) )
| ( SV1349 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV16 @ ( c_Message_Oagent_Oagent__case @ SV446 @ SV857 @ SV1168 @ SV1349 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3354]) ).
thf(3465,plain,
! [SV1350: $i,SV21: $i,SV1170: $i,SV860: $i,SV449: $i] :
( ( ( c_lessequals @ ( hAPP @ SV449 @ SV860 ) @ ( hAPP @ SV1170 @ SV860 ) @ SV21 )
= $true )
| ( ( ~ ( c_lessequals @ SV449 @ SV1170 @ ( tc_fun @ SV1350 @ SV21 ) ) )
= $true )
| ( ( class_HOL_Oord @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3355]) ).
thf(3466,plain,
! [SV450: $i,SV1351: $i,SV861: $i,SV1171: $i,SV22: $i] :
( ( ( hBOOL @ ( hAPP @ SV22 @ SV1171 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SV861 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SV861 @ SV1351 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV450 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV861 @ SV1171 @ SV1351 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3356]) ).
thf(3467,plain,
! [SV33: $i,SV461: $i,SV869: $i] :
( ( ( c_lessequals @ SV869 @ SV461 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV869 @ SV33 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV33 @ SV869 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV461 @ SV869 @ tc_nat ) @ tc_nat )
= $false )
| ( ( c_lessequals @ SV33 @ SV461 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3358]) ).
thf(3468,plain,
! [SV34: $i,SV870: $i,SV462: $i] :
( ( ( c_lessequals @ SV462 @ SV870 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV462 @ SV34 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV34 @ SV870 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV34 @ SV462 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV870 @ SV462 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3359]) ).
thf(3469,plain,
! [SV53: $i,SV481: $i,SV887: $i] :
( ( ( c_lessequals @ SV887 @ SV481 @ SV53 )
= $false )
| ( ( ~ ( c_lessequals @ SV481 @ SV887 @ SV53 ) )
= $true )
| ( ( SV481 = SV887 )
= $true )
| ( ( class_Orderings_Oorder @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3364]) ).
thf(3470,plain,
! [SV54: $i,SV482: $i,SV888: $i] :
( ( ( c_lessequals @ SV888 @ SV482 @ SV54 )
= $false )
| ( ( ~ ( c_lessequals @ SV482 @ SV888 @ SV54 ) )
= $true )
| ( ( SV482 = SV888 )
= $true )
| ( ( class_Orderings_Oorder @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3365]) ).
thf(3471,plain,
! [SV55: $i,SV889: $i,SV483: $i] :
( ( ( c_lessequals @ SV483 @ SV889 @ SV55 )
= $false )
| ( ( ~ ( c_lessequals @ SV889 @ SV483 @ SV55 ) )
= $true )
| ( ( SV483 = SV889 )
= $true )
| ( ( class_Orderings_Oorder @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3366]) ).
thf(3472,plain,
! [SV892: $i,SV58: $i,SV1182: $i,SV486: $i] :
( ( ( ~ ( c_lessequals @ SV486 @ SV1182 @ SV58 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1182 @ SV892 @ SV58 ) )
= $true )
| ( ( c_lessequals @ SV486 @ SV892 @ SV58 )
= $true )
| ( ( class_Orderings_Oorder @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3367]) ).
thf(3473,plain,
! [SV487: $i,SV59: $i,SV893: $i,SV1183: $i] :
( ( ( ~ ( c_lessequals @ SV1183 @ SV893 @ SV59 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV487 @ SV1183 @ SV59 ) )
= $true )
| ( ( c_lessequals @ SV487 @ SV893 @ SV59 )
= $true )
| ( ( class_Orderings_Opreorder @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3368]) ).
thf(3474,plain,
! [SV491: $i,SV895: $i,SV1184: $i,SV65: $i] :
( ( ( c_lessequals @ SV65 @ SV1184 @ ( tc_fun @ SV895 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV1184 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV65 @ SV491 @ ( tc_fun @ SV895 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3370]) ).
thf(3475,plain,
! [SV1185: $i,SV66: $i,SV896: $i,SV1353: $i,SV492: $i] :
( ( ( c_lessequals @ SV492 @ SV1353 @ ( tc_fun @ SV896 @ tc_bool ) )
= $false )
| ( ( ~ ( c_Fun_Oinj__on @ SV66 @ SV1353 @ SV896 @ SV1185 ) )
= $true )
| ( ( c_Fun_Oinj__on @ SV66 @ SV492 @ SV896 @ SV1185 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3371]) ).
thf(3476,plain,
! [SV493: $i,SV1186: $i,SV67: $i,SV897: $i] :
( ( ( c_lessequals @ SV897 @ SV67 @ ( tc_fun @ SV1186 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV897 @ SV493 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV67 @ SV493 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3372]) ).
thf(3477,plain,
! [SV1187: $i,SV70: $i,SV496: $i,SV898: $i] :
( ( ( hBOOL @ ( hAPP @ SV898 @ SV496 ) )
= $false )
| ( ( c_lessequals @ SV898 @ SV70 @ ( tc_fun @ SV1187 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV70 @ SV496 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3373]) ).
thf(3478,plain,
! [SV497: $i,SV1354: $i,SV899: $i,SV1188: $i,SV71: $i] :
( ( ( hBOOL @ ( hAPP @ SV71 @ SV1188 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV899 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SV899 @ SV1354 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV71 @ SV497 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SV497 @ SV899 @ SV1188 @ SV1354 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3374]) ).
thf(3479,plain,
! [SV88: $i,SV1190: $i,SV913: $i,SV514: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV514 @ ( c_List_Olist_OCons @ SV913 @ SV1190 @ SV88 ) @ SV88 ) @ SV88 )
= $false )
| ( ( c_lessequals @ SV514 @ SV913 @ SV88 )
= $true )
| ( ( class_Orderings_Olinorder @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3375]) ).
thf(3480,plain,
! [SV515: $i,SV89: $i,SV1191: $i,SV914: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV515 @ SV914 @ SV89 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV515 @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 ) @ SV89 )
= $true )
| ( ( class_Orderings_Olinorder @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3376]) ).
thf(3481,plain,
! [SV1194: $i,SV524: $i,SV1355: $i,SV922: $i,SV98: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV98 @ ( hAPP @ SV922 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV98 @ SV922 @ SV1355 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV98 @ SV524 ) ) )
= $true )
| ( ( SV1355 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ ( c_Message_Oagent_Oagent__case @ SV524 @ SV922 @ SV1194 @ SV1355 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3377]) ).
thf(3482,plain,
! [SV1195: $i,SV525: $i,SV1356: $i,SV923: $i,SV99: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV99 @ ( hAPP @ SV923 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV99 @ SV923 @ SV1356 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV99 @ SV525 ) ) )
= $true )
| ( ( SV1356 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV99 @ ( c_Message_Oagent_Oagent__case @ SV525 @ SV923 @ SV1195 @ SV1356 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3378]) ).
thf(3483,plain,
! [SV529: $i,SV1357: $i,SV927: $i,SV1197: $i,SV103: $i] :
( ( ( hBOOL @ ( hAPP @ SV103 @ SV1197 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV103 @ ( hAPP @ SV927 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV103 @ SV927 @ SV1357 ) ) ) )
| ( SV1357 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Message_Oagent_Oagent__case @ SV529 @ SV927 @ SV1197 @ SV1357 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3379]) ).
thf(3484,plain,
! [SV530: $i,SV1358: $i,SV928: $i,SV1198: $i,SV104: $i] :
( ( ( hBOOL @ ( hAPP @ SV104 @ SV1198 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV104 @ ( hAPP @ SV928 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV104 @ SV928 @ SV1358 ) ) ) )
| ( SV1358 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Message_Oagent_Oagent__case @ SV530 @ SV928 @ SV1198 @ SV1358 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3380]) ).
thf(3485,plain,
! [SV532: $i,SV930: $i,SV1360: $i,SV1200: $i,SV106: $i] :
( ( ( hBOOL @ ( hAPP @ SV106 @ SV1200 ) )
= $false )
| ( ( ( SV1360
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV106 @ SV930 @ SV1360 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV106 @ SV532 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV106 @ ( c_Message_Oagent_Oagent__case @ SV532 @ SV930 @ SV1200 @ SV1360 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3382]) ).
thf(3486,plain,
! [SV533: $i,SV931: $i,SV1361: $i,SV1201: $i,SV107: $i] :
( ( ( hBOOL @ ( hAPP @ SV107 @ SV1201 ) )
= $false )
| ( ( ( SV1361
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV107 @ SV931 @ SV1361 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV107 @ SV533 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV107 @ ( c_Message_Oagent_Oagent__case @ SV533 @ SV931 @ SV1201 @ SV1361 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3383]) ).
thf(3487,plain,
! [SV120: $i,SV546: $i,SV1202: $i,SV932: $i] :
( ( ( c_List_Odistinct @ SV932 @ SV1202 )
= $false )
| ( ( ( c_Finite__Set_Osetsum @ SV546 @ ( c_List_Oset @ SV932 @ SV1202 ) @ SV1202 @ SV120 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV546 @ SV932 @ SV1202 @ SV120 ) @ SV120 ) )
= $true )
| ( ( class_OrderedGroup_Ocomm__monoid__add @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3384]) ).
thf(3488,plain,
! [SV1203: $i,SV552: $i,SV937: $i,SV126: $i,SV1362: $i] :
( ( ( SV1362
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV937 @ SV1362 ) ) )
= $true )
| ( ( SV1362 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1362 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV552 @ SV937 @ SV1203 @ SV1362 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3385]) ).
thf(3489,plain,
! [SV1488: $i,SV1473: $i,SV1438: $i,SV1363: $i,SV1204: $i,SV938: $i,SV553: $i,SV127: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SV553 @ SV938 @ SV1204 @ SV1363 )
= ( c_Message_Oagent_Oagent__case @ SV1438 @ SV1473 @ SV1488 @ SV1204 @ SV1363 ) )
| ( SV1204 = c_Message_Oagent_OSpy )
| ( SV1204
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1204 @ SV553 @ SV1473 @ SV1363 ) ) )
| ( SV1204 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3386]) ).
thf(3490,plain,
! [SV1205: $i,SV554: $i,SV939: $i,SV128: $i,SV1364: $i] :
( ( ( SV1364
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV128 @ SV939 @ SV1364 ) ) )
= $true )
| ( ( SV1364 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1364 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV128 @ ( c_Message_Oagent_Oagent__case @ SV554 @ SV939 @ SV1205 @ SV1364 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3387]) ).
thf(3491,plain,
! [SV560: $i,SV1439: $i,SV1207: $i,SV1366: $i,SV944: $i,SV134: $i] :
( ( ( c_List_Olist__all2 @ SV134 @ SV944 @ SV1366 @ SV1207 @ SV1439 )
= $false )
| ( ( c_List_Olist__all2 @ SV134 @ ( c_List_Otake @ SV560 @ SV944 @ SV1207 ) @ ( c_List_Otake @ SV560 @ SV1366 @ SV1439 ) @ SV1207 @ SV1439 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3389]) ).
thf(3492,plain,
! [SV138: $i,SV948: $i,SV564: $i,SV1210: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1210 @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 ) @ SV138 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV564 @ SV948 @ SV138 ) @ SV138 )
= $true )
| ( ( class_Orderings_Olinorder @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3390]) ).
thf(3493,plain,
! [SV1474: $i,SV1441: $i,SV1368: $i,SV1211: $i,SV949: $i,SV565: $i,SV139: $i] :
( ( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SV565 @ SV949 @ SV1211 ) @ ( c_List_Oappend @ SV1368 @ SV1441 @ SV1474 ) @ SV1211 @ SV1474 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV139 @ SV949 @ SV1441 @ SV1211 @ SV1474 )
| ~ ( c_List_Olist__all2 @ SV139 @ SV565 @ SV1368 @ SV1211 @ SV1474 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3391]) ).
thf(3494,plain,
! [SV1475: $i,SV1443: $i,SV1373: $i,SV1218: $i,SV960: $i,SV578: $i,SV152: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV152 @ SV578 ) @ SV960 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV152 @ ( c_List_Olist_OCons @ SV578 @ SV1218 @ SV1373 ) @ ( c_List_Olist_OCons @ SV960 @ SV1443 @ SV1475 ) @ SV1373 @ SV1475 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3392]) ).
thf(3495,plain,
! [SV1222: $i,SV157: $i,SV965: $i,SV583: $i] :
( ( ( c_List_Odistinct @ SV583 @ SV965 )
= $false )
| ( ( c_Fun_Oinj__on @ SV157 @ ( c_List_Oset @ SV583 @ SV965 ) @ SV965 @ SV1222 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Omap @ SV157 @ SV583 @ SV965 @ SV1222 ) @ SV1222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3393]) ).
thf(3496,plain,
! [SV977: $i,SV1228: $i,SV596: $i,SV170: $i] :
( ( ( c_List_Olist__all @ SV170 @ SV596 @ SV1228 )
= $false )
| ( ( c_List_Olist__all @ SV170 @ SV977 @ SV1228 )
= $false )
| ( ( c_List_Olist__all @ SV170 @ ( c_List_Oappend @ SV596 @ SV977 @ SV1228 ) @ SV1228 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3395]) ).
thf(3497,plain,
! [SV1476: $i,SV1446: $i,SV1377: $i,SV1236: $i,SV990: $i,SV611: $i,SV188: $i] :
( ( ( c_List_Olist__all2 @ SV188 @ SV611 @ SV990 @ SV1236 @ SV1377 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV188 @ ( c_List_Olist_OCons @ SV1446 @ SV611 @ SV1236 ) @ ( c_List_Olist_OCons @ SV1476 @ SV990 @ SV1377 ) @ SV1236 @ SV1377 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3397]) ).
thf(3498,plain,
! [SV1477: $i,SV1448: $i,SV1381: $i,SV1242: $i,SV1000: $i,SV621: $i,SV198: $i] :
( ( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SV621 @ SV1000 @ SV1242 ) @ ( c_List_Olist_OCons @ SV1381 @ SV1448 @ SV1477 ) @ SV1242 @ SV1477 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV198 @ SV1000 @ SV1448 @ SV1242 @ SV1477 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SV621 ) @ SV1381 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3398]) ).
thf(3499,plain,
! [SV1478: $i,SV1449: $i,SV1382: $i,SV1243: $i,SV1001: $i,SV622: $i,SV199: $i] :
( ( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SV622 @ SV1001 @ SV1243 ) @ ( c_List_Olist_OCons @ SV1382 @ SV1449 @ SV1478 ) @ SV1243 @ SV1478 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV199 @ SV1001 @ SV1449 @ SV1243 @ SV1478 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SV622 ) @ SV1382 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3399]) ).
thf(3500,plain,
! [SV1479: $i,SV1450: $i,SV1383: $i,SV1244: $i,SV1002: $i,SV623: $i,SV200: $i] :
( ( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SV623 @ SV1002 @ SV1244 ) @ ( c_List_Olist_OCons @ SV1383 @ SV1450 @ SV1479 ) @ SV1244 @ SV1479 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV200 @ SV1002 @ SV1450 @ SV1244 @ SV1479 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SV623 ) @ SV1383 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3400]) ).
thf(3501,plain,
! [SV1385: $i,SV628: $i,SV1249: $i,SV1451: $i,SV1007: $i,SV205: $i] :
( ( ( ~ ( c_List_Olistrelp @ SV205 @ SV1007 @ SV1451 @ SV1249 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV205 @ SV628 ) @ SV1385 ) ) )
= $true )
| ( ( c_List_Olistrelp @ SV205 @ ( c_List_Olist_OCons @ SV628 @ SV1007 @ SV1249 ) @ ( c_List_Olist_OCons @ SV1385 @ SV1451 @ SV1249 ) @ SV1249 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3403]) ).
thf(3502,plain,
! [SV640: $i,SV1452: $i,SV1256: $i,SV1387: $i,SV1018: $i,SV217: $i] :
( ( ( c_List_Olist__all2 @ SV217 @ SV1018 @ SV1387 @ SV1256 @ SV1452 )
= $false )
| ( ( c_List_Olist__all2 @ SV217 @ ( c_List_Odrop @ SV640 @ SV1018 @ SV1256 ) @ ( c_List_Odrop @ SV640 @ SV1387 @ SV1452 ) @ SV1256 @ SV1452 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3404]) ).
thf(3503,plain,
! [SV1026: $i,SV1261: $i,SV651: $i,SV228: $i] :
( ( ( c_List_Olistsp @ SV228 @ SV651 @ SV1261 )
= $false )
| ( ( c_List_Olistsp @ SV228 @ SV1026 @ SV1261 )
= $false )
| ( ( c_List_Olistsp @ SV228 @ ( c_List_Oappend @ SV651 @ SV1026 @ SV1261 ) @ SV1261 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3405]) ).
thf(3504,plain,
! [SV1267: $i,SV1038: $i,SV664: $i,SV241: $i] :
( ( ( hBOOL @ ( hAPP @ SV241 @ SV664 ) )
= $false )
| ( ( c_List_Olist__all @ SV241 @ SV1038 @ SV1267 )
= $false )
| ( ( c_List_Olist__all @ SV241 @ ( c_List_Olist_OCons @ SV664 @ SV1038 @ SV1267 ) @ SV1267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3410]) ).
thf(3505,plain,
! [SV1480: $i,SV1456: $i,SV1403: $i,SV1297: $i,SV1089: $i,SV768: $i,SV353: $i] :
( ( ( ( hAPP @ SV353 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) )
!= ( hAPP @ SV1089 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) ) )
= $true )
| ( ( ( ( c_Message_Oagent_Oagent__case @ SV1403 @ SV353 @ SV1456 @ SV768 @ SV1297 )
= ( c_Message_Oagent_Oagent__case @ SV1403 @ SV1089 @ SV1480 @ SV768 @ SV1297 ) )
| ( SV768 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3420]) ).
thf(3506,plain,
! [SV1489: $i,SV1481: $i,SV1457: $i,SV1404: $i,SV1298: $i,SV1090: $i,SV769: $i,SV354: $i] :
( ( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) )
!= ( hAPP @ SV1090 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) ) )
| ( SV769 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1404 @ SV354 @ SV1457 @ SV769 @ SV1298 )
= ( c_Message_Oagent_Oagent__case @ SV1481 @ SV1090 @ SV1489 @ SV769 @ SV1298 ) )
| ( SV769 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3421]) ).
thf(3507,plain,
! [SV1458: $i,SV1405: $i,SV1299: $i,SV1091: $i,SV770: $i,SV355: $i] :
( ( ( ( hAPP @ SV355 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SV1299 ) )
= ( hAPP @ SV1091 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV770 @ SV355 @ SV1091 @ SV1299 ) ) )
= $false )
| ( ( ( c_Message_Oagent_Oagent__case @ SV1405 @ SV355 @ SV1458 @ SV770 @ SV1299 )
= ( c_Message_Oagent_Oagent__case @ SV1405 @ SV1091 @ SV1458 @ SV770 @ SV1299 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3422]) ).
thf(3508,plain,
! [SV1406: $i,SV1301: $i,SV1097: $i,SV362: $i,SV777: $i] :
( ( ( SV777
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ SV1301 @ SV1097 ) @ SV1406 @ SV1097 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ ( c_Nat_Osize__class_Osize @ SV1301 @ ( tc_List_Olist @ SV1097 ) ) @ tc_nat ) )
= $true )
| ( ( ( c_List_Oappend @ SV362 @ SV777 @ SV1097 )
= ( c_List_Oappend @ SV1301 @ SV1406 @ SV1097 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3424]) ).
thf(3509,plain,
! [SV1407: $i,SV785: $i,SV371: $i,SV1104: $i,SV1302: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1302 @ ( tc_List_Olist @ SV1104 ) ) @ SV371 @ SV1104 )
= SV1302 )
= $true )
| ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV371 @ ( tc_List_Olist @ SV1104 ) ) @ ( c_Nat_Osize__class_Osize @ SV1302 @ ( tc_List_Olist @ SV1104 ) ) @ tc_nat )
= $true )
| ( ( ( c_List_Oappend @ SV371 @ SV785 @ SV1104 )
= ( c_List_Oappend @ SV1302 @ SV1407 @ SV1104 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3425]) ).
thf(3510,plain,
! [SV789: $i,SV376: $i,SV1108: $i] :
( ( ( ~ ( c_List_Odistinct @ SV1108 @ SV376 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
| ~ ( c_List_Odistinct @ SV789 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true )
| ( ( ( c_List_Oset @ SV789 @ SV376 )
= ( c_List_Oset @ SV1108 @ SV376 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3427]) ).
thf(3511,plain,
! [SV1409: $i,SV790: $i,SV377: $i,SV1109: $i,SV1305: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1305 @ ( tc_List_Olist @ SV1109 ) ) @ SV377 @ SV1109 ) @ SV790 @ SV1109 )
= SV1409 )
= $true )
| ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV377 @ ( tc_List_Olist @ SV1109 ) ) @ ( c_Nat_Osize__class_Osize @ SV1305 @ ( tc_List_Olist @ SV1109 ) ) @ tc_nat )
= $true )
| ( ( ( c_List_Oappend @ SV377 @ SV790 @ SV1109 )
= ( c_List_Oappend @ SV1305 @ SV1409 @ SV1109 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3428]) ).
thf(3512,plain,
! [SV1482: $i,SV1459: $i,SV1413: $i,SV1310: $i,SV1115: $i,SV797: $i,SV384: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
!= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SV1310 ) ) )
= $true )
| ( ( ( c_List_Olist__all2 @ SV1413 @ ( c_List_Oappend @ SV384 @ SV1459 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SV1482 @ SV1310 ) @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SV1459 @ SV1482 @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SV384 @ SV1115 @ SV797 @ SV1310 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3431]) ).
thf(3513,plain,
! [SV1312: $i,SV1119: $i,SV802: $i,SV389: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 )
= SV389 )
= $false )
| ( ( ( SV1119
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) )
| ( ( c_List_Oappend @ SV1119 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= ( c_List_Oappend @ SV389 @ SV1312 @ SV802 ) ) )
= $true )
| ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= SV1312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3433]) ).
thf(3514,plain,
! [SV1120: $i,SV390: $i,SV803: $i] :
( ( ( ~ ( c_lessequals @ SV803 @ SV390 @ tc_nat ) )
= $true )
| ( ( SV390 = SV1120 )
= $true )
| ( ( c_lessequals @ SV803 @ SV1120 @ tc_nat )
= $false )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV390 @ SV803 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV1120 @ SV803 @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3434]) ).
thf(3515,plain,
! [SV1317: $i,SV1126: $i,SV810: $i,SV397: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1126 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat )
= $false )
| ( ( ( c_List_Oappend @ SV397 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) @ SV1317 @ SV810 ) @ SV810 )
= ( c_List_Oappend @ SV1126 @ SV1317 @ SV810 ) )
= $true )
| ( ( SV397
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV397 @ ( tc_List_Olist @ SV810 ) ) @ SV1126 @ SV810 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3437]) ).
thf(3516,plain,
! [SV1460: $i,SV1417: $i,SV1318: $i,SV1127: $i,SV811: $i,SV398: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV398 @ SV811 @ SV1127 )
= ( c_Event_Oevent_OSays @ SV1318 @ SV1417 @ SV1460 ) )
= $false )
| ( ( SV811 = SV1417 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3438]) ).
thf(3517,plain,
! [SV1418: $i,SV812: $i,SV1319: $i,SV1128: $i,SV399: $i] :
( ( ( SV399
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ SV1319 @ SV1128 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ ( c_Nat_Osize__class_Osize @ SV1319 @ ( tc_List_Olist @ SV1128 ) ) @ tc_nat ) )
= $true )
| ( ( ( c_List_Oappend @ SV399 @ SV812 @ SV1128 )
= ( c_List_Oappend @ SV1319 @ SV1418 @ SV1128 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3439]) ).
thf(3518,plain,
! [SV1483: $i,SV1461: $i,SV1419: $i,SV1320: $i,SV1130: $i,SV814: $i,SV401: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SV814 ) )
!= ( c_Nat_Osize__class_Osize @ SV1130 @ ( tc_List_Olist @ SV1320 ) ) )
= $true )
| ( ( ( c_List_Olist__all2 @ SV1419 @ SV401 @ SV1130 @ SV814 @ SV1320 )
| ~ ( c_List_Olist__all2 @ SV1419 @ ( c_List_Oappend @ SV401 @ SV1461 @ SV814 ) @ ( c_List_Oappend @ SV1130 @ SV1483 @ SV1320 ) @ SV814 @ SV1320 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3440]) ).
thf(3519,plain,
! [SV1484: $i,SV1462: $i,SV1420: $i,SV1321: $i,SV1131: $i,SV815: $i,SV402: $i] :
( ( ( ( hAPP @ SV402 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) )
!= ( hAPP @ SV1131 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) ) )
= $true )
| ( ( ( SV815 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1420 @ SV402 @ SV1462 @ SV815 @ SV1321 )
= ( c_Message_Oagent_Oagent__case @ SV1484 @ SV1131 @ SV1462 @ SV815 @ SV1321 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3441]) ).
thf(3520,plain,
! [SV1463: $i,SV1421: $i,SV1322: $i,SV1132: $i,SV816: $i,SV403: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV403 @ SV816 @ SV1132 )
= ( c_Event_Oevent_OSays @ SV1322 @ SV1421 @ SV1463 ) )
= $false )
| ( ( SV403 = SV1322 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3442]) ).
thf(3521,plain,
! [SV1323: $i,SV1133: $i,SV404: $i,SV817: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV817 @ SV817 @ SV404 )
= ( c_HOL_Ominus__class_Ominus @ SV1133 @ SV1323 @ SV404 ) )
= $false )
| ( ( SV1133 = SV1323 )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV404 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3443]) ).
thf(3522,plain,
! [SV1422: $i,SV1134: $i,SV818: $i,SV1324: $i,SV405: $i] :
( ( ( hBOOL @ ( hAPP @ SV405 @ SV1324 ) )
= $false )
| ( ( ( c_List_OdropWhile @ SV405 @ SV818 @ SV1134 )
= ( c_List_Olist_OCons @ SV1324 @ SV1422 @ SV1134 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3444]) ).
thf(3523,plain,
! [SV1464: $i,SV1423: $i,SV1325: $i,SV1135: $i,SV819: $i,SV406: $i] :
( ( ( class_Divides_Oring__div @ SV406 )
= $false )
| ( ( ( ( c_Divides_Odiv__class_Omod @ SV819 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1325 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ SV1423 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1464 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1423 @ SV819 @ SV406 ) @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1464 @ SV1325 @ SV406 ) @ SV1135 @ SV406 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3445]) ).
thf(3524,plain,
! [SV1485: $i,SV1465: $i,SV1424: $i,SV1326: $i,SV1136: $i,SV820: $i,SV407: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
= $true )
| ( ( ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1465 @ ( tc_List_Olist @ SV1326 ) ) )
| ( c_List_Olist__all2 @ SV1485 @ ( c_List_Oappend @ SV1465 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1136 @ SV407 @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1465 @ SV1424 @ SV1326 @ SV820 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3446]) ).
thf(3525,plain,
! [SV1466: $i,SV1425: $i,SV1328: $i,SV1139: $i,SV823: $i,SV410: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV410 @ ( tc_List_Olist @ SV823 ) )
= ( c_Nat_Osize__class_Osize @ SV1139 @ ( tc_List_Olist @ SV1328 ) ) )
= $false )
| ( ( ( c_Map_Omap__upds @ SV1425 @ ( c_List_Oappend @ SV410 @ SV1466 @ SV823 ) @ SV1139 @ SV823 @ SV1328 )
= ( c_Map_Omap__upds @ SV1425 @ SV410 @ SV1139 @ SV823 @ SV1328 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3447]) ).
thf(3526,plain,
! [SV1426: $i,SV1329: $i,SV411: $i,SV1140: $i,SV824: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV824 @ SV1140 @ SV411 )
!= ( c_HOL_Ominus__class_Ominus @ SV1329 @ SV1426 @ SV411 ) )
= $true )
| ( ( ( c_lessequals @ SV1426 @ SV1329 @ SV411 )
| ~ ( c_lessequals @ SV1140 @ SV824 @ SV411 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV411 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3448]) ).
thf(3527,plain,
! [SV1330: $i,SV413: $i,SV1141: $i,SV826: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV826 @ SV1141 @ SV413 )
= ( c_HOL_Ominus__class_Ominus @ SV1330 @ SV1330 @ SV413 ) )
= $false )
| ( ( SV826 = SV1141 )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV413 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3449]) ).
thf(3528,plain,
! [SV1486: $i,SV1467: $i,SV1427: $i,SV1331: $i,SV1142: $i,SV827: $i,SV414: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SV827 ) )
!= ( c_Nat_Osize__class_Osize @ SV1142 @ ( tc_List_Olist @ SV1331 ) ) )
= $true )
| ( ( ( c_List_Olist__all2 @ SV1427 @ SV1467 @ SV1486 @ SV827 @ SV1331 )
| ~ ( c_List_Olist__all2 @ SV1427 @ ( c_List_Oappend @ SV414 @ SV1467 @ SV827 ) @ ( c_List_Oappend @ SV1142 @ SV1486 @ SV1331 ) @ SV827 @ SV1331 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3450]) ).
thf(3529,plain,
! [SV1428: $i,SV1332: $i,SV417: $i,SV1144: $i,SV829: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV829 @ SV1144 @ SV417 )
!= ( c_HOL_Ominus__class_Ominus @ SV1332 @ SV1428 @ SV417 ) )
= $true )
| ( ( ( c_lessequals @ SV1144 @ SV829 @ SV417 )
| ~ ( c_lessequals @ SV1428 @ SV1332 @ SV417 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV417 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3451]) ).
thf(3530,plain,
! [SV1468: $i,SV1430: $i,SV1334: $i,SV1147: $i,SV834: $i,SV422: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV422 @ SV834 @ SV1147 )
= ( c_Event_Oevent_OSays @ SV1334 @ SV1430 @ SV1468 ) )
= $false )
| ( ( SV1147 = SV1468 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3453]) ).
thf(3531,plain,
! [SV1487: $i,SV1469: $i,SV1432: $i,SV1336: $i,SV1149: $i,SV836: $i,SV424: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
= $true )
| ( ( ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1469 @ ( tc_List_Olist @ SV1336 ) ) )
| ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SV1469 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV424 @ SV1149 @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV1432 @ SV1469 @ SV836 @ SV1336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3455]) ).
thf(3532,plain,
! [SV1470: $i,SV1433: $i,SV1337: $i,SV1150: $i,SV837: $i,SV425: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV425 @ ( tc_List_Olist @ SV837 ) )
= ( c_Nat_Osize__class_Osize @ SV1150 @ ( tc_List_Olist @ SV1337 ) ) )
= $false )
| ( ( ( c_Map_Omap__upds @ SV1433 @ SV425 @ ( c_List_Oappend @ SV1150 @ SV1470 @ SV1337 ) @ SV837 @ SV1337 )
= ( c_Map_Omap__upds @ SV1433 @ SV425 @ SV1150 @ SV837 @ SV1337 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3456]) ).
thf(3533,plain,
! [SV1160: $i,SV438: $i,SV1342: $i,SV849: $i,SV8: $i] :
( ( ( hBOOL @ ( hAPP @ SV8 @ ( hAPP @ SV849 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV8 @ SV849 @ SV1342 ) ) ) )
= $false )
| ( ( SV1342 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1342 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV8 @ ( c_Message_Oagent_Oagent__case @ SV438 @ SV849 @ SV1160 @ SV1342 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3457]) ).
thf(3534,plain,
! [SV1161: $i,SV439: $i,SV1343: $i,SV850: $i,SV9: $i] :
( ( ( hBOOL @ ( hAPP @ SV9 @ ( hAPP @ SV850 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV9 @ SV850 @ SV1343 ) ) ) )
= $false )
| ( ( SV1343 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1343 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV9 @ ( c_Message_Oagent_Oagent__case @ SV439 @ SV850 @ SV1161 @ SV1343 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3458]) ).
thf(3535,plain,
! [SV1163: $i,SV852: $i,SV1344: $i,SV441: $i,SV11: $i] :
( ( ( hBOOL @ ( hAPP @ SV11 @ SV441 ) )
= $false )
| ( ( SV1344
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV11 @ SV852 @ SV1344 ) ) )
= $true )
| ( ( SV1344 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV11 @ ( c_Message_Oagent_Oagent__case @ SV441 @ SV852 @ SV1163 @ SV1344 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3459]) ).
thf(3536,plain,
! [SV1471: $i,SV853: $i,SV12: $i,SV1345: $i,SV1435: $i,SV442: $i,SV1164: $i] :
( ( ( SV1164 = c_Message_Oagent_OSpy )
= $true )
| ( ( SV1164
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1164 @ SV442 @ SV1435 @ SV1345 ) ) )
= $true )
| ( ( ( c_Message_Oagent_Oagent__case @ SV12 @ SV442 @ SV853 @ SV1164 @ SV1345 )
= ( c_Message_Oagent_Oagent__case @ SV12 @ SV1435 @ SV1471 @ SV1164 @ SV1345 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3460]) ).
thf(3537,plain,
! [SV1165: $i,SV854: $i,SV1346: $i,SV443: $i,SV13: $i] :
( ( ( hBOOL @ ( hAPP @ SV13 @ SV443 ) )
= $false )
| ( ( SV1346
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV13 @ SV854 @ SV1346 ) ) )
= $true )
| ( ( SV1346 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV13 @ ( c_Message_Oagent_Oagent__case @ SV443 @ SV854 @ SV1165 @ SV1346 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3461]) ).
thf(3538,plain,
! [SV444: $i,SV1166: $i,SV855: $i,SV14: $i,SV1347: $i] :
( ( ( SV1347
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV14 @ SV855 @ SV1347 ) ) )
= $true )
| ( ( SV1347 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV14 @ SV1166 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV14 @ ( c_Message_Oagent_Oagent__case @ SV444 @ SV855 @ SV1166 @ SV1347 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3462]) ).
thf(3539,plain,
! [SV856: $i,SV1472: $i,SV1167: $i,SV1436: $i,SV445: $i,SV1348: $i,SV15: $i] :
( ( ( SV15 = c_Message_Oagent_OServer )
= $true )
| ( ( ( c_Message_Oagent_Oagent__case @ SV1348 @ SV445 @ SV1436 @ SV15 @ SV1167 )
= ( c_Message_Oagent_Oagent__case @ SV1472 @ SV856 @ SV1436 @ SV15 @ SV1167 ) )
= $true )
| ( ( SV15
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV15 @ SV445 @ SV856 @ SV1167 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3463]) ).
thf(3540,plain,
! [SV446: $i,SV1168: $i,SV857: $i,SV16: $i,SV1349: $i] :
( ( ( SV1349
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV16 @ SV857 @ SV1349 ) ) )
= $true )
| ( ( SV1349 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV16 @ SV1168 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV16 @ ( c_Message_Oagent_Oagent__case @ SV446 @ SV857 @ SV1168 @ SV1349 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3464]) ).
thf(3541,plain,
! [SV860: $i,SV21: $i,SV1350: $i,SV1170: $i,SV449: $i] :
( ( ( c_lessequals @ SV449 @ SV1170 @ ( tc_fun @ SV1350 @ SV21 ) )
= $false )
| ( ( c_lessequals @ ( hAPP @ SV449 @ SV860 ) @ ( hAPP @ SV1170 @ SV860 ) @ SV21 )
= $true )
| ( ( class_HOL_Oord @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3465]) ).
thf(3542,plain,
! [SV1171: $i,SV450: $i,SV1351: $i,SV861: $i,SV22: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SV861 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SV861 @ SV1351 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV22 @ SV450 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV22 @ SV1171 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV861 @ SV1171 @ SV1351 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3466]) ).
thf(3543,plain,
! [SV461: $i,SV33: $i,SV869: $i] :
( ( ( c_lessequals @ SV869 @ SV33 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV869 @ SV461 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV33 @ SV869 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV461 @ SV869 @ tc_nat ) @ tc_nat )
= $false )
| ( ( c_lessequals @ SV33 @ SV461 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3467]) ).
thf(3544,plain,
! [SV870: $i,SV34: $i,SV462: $i] :
( ( ( c_lessequals @ SV462 @ SV34 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV462 @ SV870 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV34 @ SV870 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV34 @ SV462 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV870 @ SV462 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3468]) ).
thf(3545,plain,
! [SV53: $i,SV887: $i,SV481: $i] :
( ( ( c_lessequals @ SV481 @ SV887 @ SV53 )
= $false )
| ( ( c_lessequals @ SV887 @ SV481 @ SV53 )
= $false )
| ( ( SV481 = SV887 )
= $true )
| ( ( class_Orderings_Oorder @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3469]) ).
thf(3546,plain,
! [SV54: $i,SV888: $i,SV482: $i] :
( ( ( c_lessequals @ SV482 @ SV888 @ SV54 )
= $false )
| ( ( c_lessequals @ SV888 @ SV482 @ SV54 )
= $false )
| ( ( SV482 = SV888 )
= $true )
| ( ( class_Orderings_Oorder @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3470]) ).
thf(3547,plain,
! [SV55: $i,SV483: $i,SV889: $i] :
( ( ( c_lessequals @ SV889 @ SV483 @ SV55 )
= $false )
| ( ( c_lessequals @ SV483 @ SV889 @ SV55 )
= $false )
| ( ( SV483 = SV889 )
= $true )
| ( ( class_Orderings_Oorder @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3471]) ).
thf(3548,plain,
! [SV892: $i,SV58: $i,SV1182: $i,SV486: $i] :
( ( ( c_lessequals @ SV486 @ SV1182 @ SV58 )
= $false )
| ( ( ~ ( c_lessequals @ SV1182 @ SV892 @ SV58 ) )
= $true )
| ( ( c_lessequals @ SV486 @ SV892 @ SV58 )
= $true )
| ( ( class_Orderings_Oorder @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3472]) ).
thf(3549,plain,
! [SV487: $i,SV59: $i,SV893: $i,SV1183: $i] :
( ( ( c_lessequals @ SV1183 @ SV893 @ SV59 )
= $false )
| ( ( ~ ( c_lessequals @ SV487 @ SV1183 @ SV59 ) )
= $true )
| ( ( c_lessequals @ SV487 @ SV893 @ SV59 )
= $true )
| ( ( class_Orderings_Opreorder @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3473]) ).
thf(3550,plain,
! [SV492: $i,SV1185: $i,SV896: $i,SV1353: $i,SV66: $i] :
( ( ( c_Fun_Oinj__on @ SV66 @ SV1353 @ SV896 @ SV1185 )
= $false )
| ( ( c_lessequals @ SV492 @ SV1353 @ ( tc_fun @ SV896 @ tc_bool ) )
= $false )
| ( ( c_Fun_Oinj__on @ SV66 @ SV492 @ SV896 @ SV1185 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3475]) ).
thf(3551,plain,
! [SV1188: $i,SV497: $i,SV1354: $i,SV899: $i,SV71: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV899 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SV899 @ SV1354 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ SV497 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV71 @ SV1188 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SV497 @ SV899 @ SV1188 @ SV1354 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3478]) ).
thf(3552,plain,
! [SV515: $i,SV89: $i,SV1191: $i,SV914: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 )
= $false )
| ( ( ~ ( c_lessequals @ SV515 @ SV914 @ SV89 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV515 @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 ) @ SV89 )
= $true )
| ( ( class_Orderings_Olinorder @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3480]) ).
thf(3553,plain,
! [SV1194: $i,SV524: $i,SV1355: $i,SV922: $i,SV98: $i] :
( ( ( hBOOL @ ( hAPP @ SV98 @ ( hAPP @ SV922 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV98 @ SV922 @ SV1355 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV98 @ SV524 ) ) )
= $true )
| ( ( SV1355 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ ( c_Message_Oagent_Oagent__case @ SV524 @ SV922 @ SV1194 @ SV1355 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3481]) ).
thf(3554,plain,
! [SV1195: $i,SV525: $i,SV1356: $i,SV923: $i,SV99: $i] :
( ( ( hBOOL @ ( hAPP @ SV99 @ ( hAPP @ SV923 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV99 @ SV923 @ SV1356 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV99 @ SV525 ) ) )
= $true )
| ( ( SV1356 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV99 @ ( c_Message_Oagent_Oagent__case @ SV525 @ SV923 @ SV1195 @ SV1356 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3482]) ).
thf(3555,plain,
! [SV529: $i,SV1197: $i,SV1357: $i,SV927: $i,SV103: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV103 @ ( hAPP @ SV927 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV103 @ SV927 @ SV1357 ) ) ) ) )
= $true )
| ( ( SV1357 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV103 @ SV1197 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Message_Oagent_Oagent__case @ SV529 @ SV927 @ SV1197 @ SV1357 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3483]) ).
thf(3556,plain,
! [SV530: $i,SV1198: $i,SV1358: $i,SV928: $i,SV104: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV104 @ ( hAPP @ SV928 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV104 @ SV928 @ SV1358 ) ) ) ) )
= $true )
| ( ( SV1358 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV104 @ SV1198 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Message_Oagent_Oagent__case @ SV530 @ SV928 @ SV1198 @ SV1358 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3484]) ).
thf(3557,plain,
! [SV1200: $i,SV532: $i,SV930: $i,SV106: $i,SV1360: $i] :
( ( ( SV1360
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV106 @ SV930 @ SV1360 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV106 @ SV532 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV106 @ SV1200 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV106 @ ( c_Message_Oagent_Oagent__case @ SV532 @ SV930 @ SV1200 @ SV1360 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3485]) ).
thf(3558,plain,
! [SV1201: $i,SV533: $i,SV931: $i,SV107: $i,SV1361: $i] :
( ( ( SV1361
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV107 @ SV931 @ SV1361 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV107 @ SV533 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV107 @ SV1201 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV107 @ ( c_Message_Oagent_Oagent__case @ SV533 @ SV931 @ SV1201 @ SV1361 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3486]) ).
thf(3559,plain,
! [SV1488: $i,SV1473: $i,SV1438: $i,SV1363: $i,SV1204: $i,SV938: $i,SV553: $i,SV127: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SV553 @ SV938 @ SV1204 @ SV1363 )
= ( c_Message_Oagent_Oagent__case @ SV1438 @ SV1473 @ SV1488 @ SV1204 @ SV1363 ) )
= $true )
| ( ( ( SV1204 = c_Message_Oagent_OSpy )
| ( SV1204
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1204 @ SV553 @ SV1473 @ SV1363 ) ) )
| ( SV1204 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3489]) ).
thf(3560,plain,
! [SV1368: $i,SV565: $i,SV1474: $i,SV1211: $i,SV1441: $i,SV949: $i,SV139: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV139 @ SV949 @ SV1441 @ SV1211 @ SV1474 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV139 @ SV565 @ SV1368 @ SV1211 @ SV1474 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SV565 @ SV949 @ SV1211 ) @ ( c_List_Oappend @ SV1368 @ SV1441 @ SV1474 ) @ SV1211 @ SV1474 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3493]) ).
thf(3561,plain,
! [SV1475: $i,SV1443: $i,SV960: $i,SV1373: $i,SV1218: $i,SV578: $i,SV152: $i] :
( ( ( c_List_Olist__all2 @ SV152 @ ( c_List_Olist_OCons @ SV578 @ SV1218 @ SV1373 ) @ ( c_List_Olist_OCons @ SV960 @ SV1443 @ SV1475 ) @ SV1373 @ SV1475 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ SV152 @ SV578 ) @ SV960 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3494]) ).
thf(3562,plain,
! [SV1377: $i,SV990: $i,SV1476: $i,SV1236: $i,SV611: $i,SV1446: $i,SV188: $i] :
( ( ( c_List_Olist__all2 @ SV188 @ ( c_List_Olist_OCons @ SV1446 @ SV611 @ SV1236 ) @ ( c_List_Olist_OCons @ SV1476 @ SV990 @ SV1377 ) @ SV1236 @ SV1377 )
= $false )
| ( ( c_List_Olist__all2 @ SV188 @ SV611 @ SV990 @ SV1236 @ SV1377 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3497]) ).
thf(3563,plain,
! [SV1381: $i,SV621: $i,SV1477: $i,SV1242: $i,SV1448: $i,SV1000: $i,SV198: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV198 @ SV1000 @ SV1448 @ SV1242 @ SV1477 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SV621 ) @ SV1381 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SV621 @ SV1000 @ SV1242 ) @ ( c_List_Olist_OCons @ SV1381 @ SV1448 @ SV1477 ) @ SV1242 @ SV1477 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3498]) ).
thf(3564,plain,
! [SV1382: $i,SV622: $i,SV1478: $i,SV1243: $i,SV1449: $i,SV1001: $i,SV199: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV199 @ SV1001 @ SV1449 @ SV1243 @ SV1478 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SV622 ) @ SV1382 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SV622 @ SV1001 @ SV1243 ) @ ( c_List_Olist_OCons @ SV1382 @ SV1449 @ SV1478 ) @ SV1243 @ SV1478 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3499]) ).
thf(3565,plain,
! [SV1383: $i,SV623: $i,SV1479: $i,SV1244: $i,SV1450: $i,SV1002: $i,SV200: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV200 @ SV1002 @ SV1450 @ SV1244 @ SV1479 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SV623 ) @ SV1383 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SV623 @ SV1002 @ SV1244 ) @ ( c_List_Olist_OCons @ SV1383 @ SV1450 @ SV1479 ) @ SV1244 @ SV1479 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3500]) ).
thf(3566,plain,
! [SV1385: $i,SV628: $i,SV1249: $i,SV1451: $i,SV1007: $i,SV205: $i] :
( ( ( c_List_Olistrelp @ SV205 @ SV1007 @ SV1451 @ SV1249 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV205 @ SV628 ) @ SV1385 ) ) )
= $true )
| ( ( c_List_Olistrelp @ SV205 @ ( c_List_Olist_OCons @ SV628 @ SV1007 @ SV1249 ) @ ( c_List_Olist_OCons @ SV1385 @ SV1451 @ SV1249 ) @ SV1249 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3501]) ).
thf(3567,plain,
! [SV1480: $i,SV1456: $i,SV1403: $i,SV1297: $i,SV1089: $i,SV768: $i,SV353: $i] :
( ( ( ( hAPP @ SV353 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) )
= ( hAPP @ SV1089 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) ) )
= $false )
| ( ( ( ( c_Message_Oagent_Oagent__case @ SV1403 @ SV353 @ SV1456 @ SV768 @ SV1297 )
= ( c_Message_Oagent_Oagent__case @ SV1403 @ SV1089 @ SV1480 @ SV768 @ SV1297 ) )
| ( SV768 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3505]) ).
thf(3568,plain,
! [SV1489: $i,SV1481: $i,SV1457: $i,SV1404: $i,SV1298: $i,SV1090: $i,SV769: $i,SV354: $i] :
( ( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) )
!= ( hAPP @ SV1090 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) ) )
= $true )
| ( ( ( SV769 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1404 @ SV354 @ SV1457 @ SV769 @ SV1298 )
= ( c_Message_Oagent_Oagent__case @ SV1481 @ SV1090 @ SV1489 @ SV769 @ SV1298 ) )
| ( SV769 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3506]) ).
thf(3569,plain,
! [SV1406: $i,SV777: $i,SV1301: $i,SV1097: $i,SV362: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ ( c_Nat_Osize__class_Osize @ SV1301 @ ( tc_List_Olist @ SV1097 ) ) @ tc_nat )
= $false )
| ( ( SV777
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV362 @ ( tc_List_Olist @ SV1097 ) ) @ SV1301 @ SV1097 ) @ SV1406 @ SV1097 ) )
= $true )
| ( ( ( c_List_Oappend @ SV362 @ SV777 @ SV1097 )
= ( c_List_Oappend @ SV1301 @ SV1406 @ SV1097 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3508]) ).
thf(3570,plain,
! [SV789: $i,SV376: $i,SV1108: $i] :
( ( ( c_List_Odistinct @ SV1108 @ SV376 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
| ~ ( c_List_Odistinct @ SV789 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true )
| ( ( ( c_List_Oset @ SV789 @ SV376 )
= ( c_List_Oset @ SV1108 @ SV376 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3510]) ).
thf(3571,plain,
! [SV1482: $i,SV1459: $i,SV1413: $i,SV1310: $i,SV1115: $i,SV797: $i,SV384: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SV1310 ) ) )
= $false )
| ( ( ( c_List_Olist__all2 @ SV1413 @ ( c_List_Oappend @ SV384 @ SV1459 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SV1482 @ SV1310 ) @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SV1459 @ SV1482 @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SV384 @ SV1115 @ SV797 @ SV1310 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3512]) ).
thf(3572,plain,
! [SV1312: $i,SV389: $i,SV802: $i,SV1119: $i] :
( ( ( SV1119
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) )
= $true )
| ( ( ( c_List_Oappend @ SV1119 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= ( c_List_Oappend @ SV389 @ SV1312 @ SV802 ) )
= $true )
| ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 )
= SV389 )
= $false )
| ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= SV1312 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3513]) ).
thf(3573,plain,
! [SV1120: $i,SV390: $i,SV803: $i] :
( ( ( c_lessequals @ SV803 @ SV390 @ tc_nat )
= $false )
| ( ( SV390 = SV1120 )
= $true )
| ( ( c_lessequals @ SV803 @ SV1120 @ tc_nat )
= $false )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV390 @ SV803 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV1120 @ SV803 @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3514]) ).
thf(3574,plain,
! [SV1418: $i,SV812: $i,SV1319: $i,SV1128: $i,SV399: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ ( c_Nat_Osize__class_Osize @ SV1319 @ ( tc_List_Olist @ SV1128 ) ) @ tc_nat )
= $false )
| ( ( SV399
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV399 @ ( tc_List_Olist @ SV1128 ) ) @ SV1319 @ SV1128 ) )
= $true )
| ( ( ( c_List_Oappend @ SV399 @ SV812 @ SV1128 )
= ( c_List_Oappend @ SV1319 @ SV1418 @ SV1128 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3517]) ).
thf(3575,plain,
! [SV1483: $i,SV1461: $i,SV1419: $i,SV1320: $i,SV1130: $i,SV814: $i,SV401: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SV814 ) )
= ( c_Nat_Osize__class_Osize @ SV1130 @ ( tc_List_Olist @ SV1320 ) ) )
= $false )
| ( ( ( c_List_Olist__all2 @ SV1419 @ SV401 @ SV1130 @ SV814 @ SV1320 )
| ~ ( c_List_Olist__all2 @ SV1419 @ ( c_List_Oappend @ SV401 @ SV1461 @ SV814 ) @ ( c_List_Oappend @ SV1130 @ SV1483 @ SV1320 ) @ SV814 @ SV1320 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3518]) ).
thf(3576,plain,
! [SV1484: $i,SV1462: $i,SV1420: $i,SV1321: $i,SV1131: $i,SV815: $i,SV402: $i] :
( ( ( ( hAPP @ SV402 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) )
= ( hAPP @ SV1131 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) ) )
= $false )
| ( ( ( SV815 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1420 @ SV402 @ SV1462 @ SV815 @ SV1321 )
= ( c_Message_Oagent_Oagent__case @ SV1484 @ SV1131 @ SV1462 @ SV815 @ SV1321 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3519]) ).
thf(3577,plain,
! [SV1464: $i,SV1423: $i,SV1325: $i,SV406: $i,SV1135: $i,SV819: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV819 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1325 @ SV1135 @ SV406 ) )
= $true )
| ( ( ( ( c_Divides_Odiv__class_Omod @ SV1423 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1464 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1423 @ SV819 @ SV406 ) @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1464 @ SV1325 @ SV406 ) @ SV1135 @ SV406 ) ) )
= $true )
| ( ( class_Divides_Oring__div @ SV406 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3523]) ).
thf(3578,plain,
! [SV1485: $i,SV1465: $i,SV1424: $i,SV1326: $i,SV1136: $i,SV820: $i,SV407: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
= $false )
| ( ( ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1465 @ ( tc_List_Olist @ SV1326 ) ) )
| ( c_List_Olist__all2 @ SV1485 @ ( c_List_Oappend @ SV1465 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1136 @ SV407 @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1465 @ SV1424 @ SV1326 @ SV820 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3524]) ).
thf(3579,plain,
! [SV1426: $i,SV1329: $i,SV411: $i,SV1140: $i,SV824: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV824 @ SV1140 @ SV411 )
= ( c_HOL_Ominus__class_Ominus @ SV1329 @ SV1426 @ SV411 ) )
= $false )
| ( ( ( c_lessequals @ SV1426 @ SV1329 @ SV411 )
| ~ ( c_lessequals @ SV1140 @ SV824 @ SV411 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV411 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3526]) ).
thf(3580,plain,
! [SV1486: $i,SV1467: $i,SV1427: $i,SV1331: $i,SV1142: $i,SV827: $i,SV414: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SV827 ) )
= ( c_Nat_Osize__class_Osize @ SV1142 @ ( tc_List_Olist @ SV1331 ) ) )
= $false )
| ( ( ( c_List_Olist__all2 @ SV1427 @ SV1467 @ SV1486 @ SV827 @ SV1331 )
| ~ ( c_List_Olist__all2 @ SV1427 @ ( c_List_Oappend @ SV414 @ SV1467 @ SV827 ) @ ( c_List_Oappend @ SV1142 @ SV1486 @ SV1331 ) @ SV827 @ SV1331 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3528]) ).
thf(3581,plain,
! [SV1428: $i,SV1332: $i,SV417: $i,SV1144: $i,SV829: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV829 @ SV1144 @ SV417 )
= ( c_HOL_Ominus__class_Ominus @ SV1332 @ SV1428 @ SV417 ) )
= $false )
| ( ( ( c_lessequals @ SV1144 @ SV829 @ SV417 )
| ~ ( c_lessequals @ SV1428 @ SV1332 @ SV417 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV417 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3529]) ).
thf(3582,plain,
! [SV1487: $i,SV1469: $i,SV1432: $i,SV1336: $i,SV1149: $i,SV836: $i,SV424: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
= $false )
| ( ( ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1469 @ ( tc_List_Olist @ SV1336 ) ) )
| ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SV1469 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV424 @ SV1149 @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV1432 @ SV1469 @ SV836 @ SV1336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3531]) ).
thf(3583,plain,
! [SV1171: $i,SV450: $i,SV1351: $i,SV861: $i,SV22: $i] :
( ( ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SV861 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SV861 @ SV1351 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV22 @ SV450 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV22 @ SV1171 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV861 @ SV1171 @ SV1351 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3542]) ).
thf(3584,plain,
! [SV486: $i,SV58: $i,SV892: $i,SV1182: $i] :
( ( ( c_lessequals @ SV1182 @ SV892 @ SV58 )
= $false )
| ( ( c_lessequals @ SV486 @ SV1182 @ SV58 )
= $false )
| ( ( c_lessequals @ SV486 @ SV892 @ SV58 )
= $true )
| ( ( class_Orderings_Oorder @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3548]) ).
thf(3585,plain,
! [SV893: $i,SV59: $i,SV1183: $i,SV487: $i] :
( ( ( c_lessequals @ SV487 @ SV1183 @ SV59 )
= $false )
| ( ( c_lessequals @ SV1183 @ SV893 @ SV59 )
= $false )
| ( ( c_lessequals @ SV487 @ SV893 @ SV59 )
= $true )
| ( ( class_Orderings_Opreorder @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3549]) ).
thf(3586,plain,
! [SV1188: $i,SV497: $i,SV1354: $i,SV899: $i,SV71: $i] :
( ( ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV899 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SV899 @ SV1354 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ SV497 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV71 @ SV1188 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SV497 @ SV899 @ SV1188 @ SV1354 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3551]) ).
thf(3587,plain,
! [SV1191: $i,SV89: $i,SV914: $i,SV515: $i] :
( ( ( c_lessequals @ SV515 @ SV914 @ SV89 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV515 @ ( c_List_Olist_OCons @ SV914 @ SV1191 @ SV89 ) @ SV89 ) @ SV89 )
= $true )
| ( ( class_Orderings_Olinorder @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3552]) ).
thf(3588,plain,
! [SV1194: $i,SV1355: $i,SV922: $i,SV524: $i,SV98: $i] :
( ( ( hBOOL @ ( hAPP @ SV98 @ SV524 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV98 @ ( hAPP @ SV922 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV98 @ SV922 @ SV1355 ) ) ) )
= $false )
| ( ( SV1355 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ ( c_Message_Oagent_Oagent__case @ SV524 @ SV922 @ SV1194 @ SV1355 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3553]) ).
thf(3589,plain,
! [SV1195: $i,SV1356: $i,SV923: $i,SV525: $i,SV99: $i] :
( ( ( hBOOL @ ( hAPP @ SV99 @ SV525 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV99 @ ( hAPP @ SV923 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV99 @ SV923 @ SV1356 ) ) ) )
= $false )
| ( ( SV1356 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV99 @ ( c_Message_Oagent_Oagent__case @ SV525 @ SV923 @ SV1195 @ SV1356 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3554]) ).
thf(3590,plain,
! [SV529: $i,SV1197: $i,SV1357: $i,SV927: $i,SV103: $i] :
( ( ( hBOOL @ ( hAPP @ SV103 @ ( hAPP @ SV927 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV103 @ SV927 @ SV1357 ) ) ) )
= $false )
| ( ( SV1357 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV103 @ SV1197 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV103 @ ( c_Message_Oagent_Oagent__case @ SV529 @ SV927 @ SV1197 @ SV1357 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3555]) ).
thf(3591,plain,
! [SV530: $i,SV1198: $i,SV1358: $i,SV928: $i,SV104: $i] :
( ( ( hBOOL @ ( hAPP @ SV104 @ ( hAPP @ SV928 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV104 @ SV928 @ SV1358 ) ) ) )
= $false )
| ( ( SV1358 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV104 @ SV1198 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV104 @ ( c_Message_Oagent_Oagent__case @ SV530 @ SV928 @ SV1198 @ SV1358 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3556]) ).
thf(3592,plain,
! [SV1200: $i,SV930: $i,SV1360: $i,SV532: $i,SV106: $i] :
( ( ( hBOOL @ ( hAPP @ SV106 @ SV532 ) )
= $false )
| ( ( SV1360
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV106 @ SV930 @ SV1360 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV106 @ SV1200 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV106 @ ( c_Message_Oagent_Oagent__case @ SV532 @ SV930 @ SV1200 @ SV1360 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3557]) ).
thf(3593,plain,
! [SV1201: $i,SV931: $i,SV1361: $i,SV533: $i,SV107: $i] :
( ( ( hBOOL @ ( hAPP @ SV107 @ SV533 ) )
= $false )
| ( ( SV1361
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV107 @ SV931 @ SV1361 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV107 @ SV1201 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV107 @ ( c_Message_Oagent_Oagent__case @ SV533 @ SV931 @ SV1201 @ SV1361 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3558]) ).
thf(3594,plain,
! [SV1488: $i,SV1438: $i,SV938: $i,SV127: $i,SV1363: $i,SV1473: $i,SV553: $i,SV1204: $i] :
( ( ( SV1204 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( SV1204
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1204 @ SV553 @ SV1473 @ SV1363 ) ) )
| ( SV1204 = c_Message_Oagent_OServer ) )
= $true )
| ( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SV553 @ SV938 @ SV1204 @ SV1363 )
= ( c_Message_Oagent_Oagent__case @ SV1438 @ SV1473 @ SV1488 @ SV1204 @ SV1363 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3559]) ).
thf(3595,plain,
! [SV1368: $i,SV565: $i,SV1474: $i,SV1211: $i,SV1441: $i,SV949: $i,SV139: $i] :
( ( ( c_List_Olist__all2 @ SV139 @ SV949 @ SV1441 @ SV1211 @ SV1474 )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ SV139 @ SV565 @ SV1368 @ SV1211 @ SV1474 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SV565 @ SV949 @ SV1211 ) @ ( c_List_Oappend @ SV1368 @ SV1441 @ SV1474 ) @ SV1211 @ SV1474 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3560]) ).
thf(3596,plain,
! [SV1381: $i,SV621: $i,SV1477: $i,SV1242: $i,SV1448: $i,SV1000: $i,SV198: $i] :
( ( ( c_List_Olist__all2 @ SV198 @ SV1000 @ SV1448 @ SV1242 @ SV1477 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SV621 ) @ SV1381 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SV621 @ SV1000 @ SV1242 ) @ ( c_List_Olist_OCons @ SV1381 @ SV1448 @ SV1477 ) @ SV1242 @ SV1477 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3563]) ).
thf(3597,plain,
! [SV1382: $i,SV622: $i,SV1478: $i,SV1243: $i,SV1449: $i,SV1001: $i,SV199: $i] :
( ( ( c_List_Olist__all2 @ SV199 @ SV1001 @ SV1449 @ SV1243 @ SV1478 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SV622 ) @ SV1382 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SV622 @ SV1001 @ SV1243 ) @ ( c_List_Olist_OCons @ SV1382 @ SV1449 @ SV1478 ) @ SV1243 @ SV1478 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3564]) ).
thf(3598,plain,
! [SV1383: $i,SV623: $i,SV1479: $i,SV1244: $i,SV1450: $i,SV1002: $i,SV200: $i] :
( ( ( c_List_Olist__all2 @ SV200 @ SV1002 @ SV1450 @ SV1244 @ SV1479 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SV623 ) @ SV1383 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SV623 @ SV1002 @ SV1244 ) @ ( c_List_Olist_OCons @ SV1383 @ SV1450 @ SV1479 ) @ SV1244 @ SV1479 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3565]) ).
thf(3599,plain,
! [SV1249: $i,SV1451: $i,SV1007: $i,SV1385: $i,SV628: $i,SV205: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV205 @ SV628 ) @ SV1385 ) )
= $false )
| ( ( c_List_Olistrelp @ SV205 @ SV1007 @ SV1451 @ SV1249 )
= $false )
| ( ( c_List_Olistrelp @ SV205 @ ( c_List_Olist_OCons @ SV628 @ SV1007 @ SV1249 ) @ ( c_List_Olist_OCons @ SV1385 @ SV1451 @ SV1249 ) @ SV1249 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3566]) ).
thf(3600,plain,
! [SV1480: $i,SV1089: $i,SV1297: $i,SV768: $i,SV1456: $i,SV353: $i,SV1403: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV1403 @ SV353 @ SV1456 @ SV768 @ SV1297 )
= ( c_Message_Oagent_Oagent__case @ SV1403 @ SV1089 @ SV1480 @ SV768 @ SV1297 ) )
= $true )
| ( ( SV768 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( hAPP @ SV353 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) )
= ( hAPP @ SV1089 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV768 @ SV353 @ SV1089 @ SV1297 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3567]) ).
thf(3601,plain,
! [SV1489: $i,SV1481: $i,SV1457: $i,SV1404: $i,SV1298: $i,SV1090: $i,SV769: $i,SV354: $i] :
( ( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) )
= ( hAPP @ SV1090 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) ) )
= $false )
| ( ( ( SV769 = c_Message_Oagent_OServer )
| ( ( c_Message_Oagent_Oagent__case @ SV1404 @ SV354 @ SV1457 @ SV769 @ SV1298 )
= ( c_Message_Oagent_Oagent__case @ SV1481 @ SV1090 @ SV1489 @ SV769 @ SV1298 ) )
| ( SV769 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3568]) ).
thf(3602,plain,
! [SV789: $i,SV376: $i,SV1108: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV789 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true )
| ( ( c_List_Odistinct @ SV1108 @ SV376 )
= $false )
| ( ( ( c_List_Oset @ SV789 @ SV376 )
= ( c_List_Oset @ SV1108 @ SV376 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3570]) ).
thf(3603,plain,
! [SV1310: $i,SV1482: $i,SV1115: $i,SV797: $i,SV1459: $i,SV384: $i,SV1413: $i] :
( ( ( c_List_Olist__all2 @ SV1413 @ ( c_List_Oappend @ SV384 @ SV1459 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SV1482 @ SV1310 ) @ SV797 @ SV1310 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1413 @ SV1459 @ SV1482 @ SV797 @ SV1310 )
| ~ ( c_List_Olist__all2 @ SV1413 @ SV384 @ SV1115 @ SV797 @ SV1310 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SV1310 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3571]) ).
thf(3604,plain,
! [SV1312: $i,SV389: $i,SV802: $i,SV1119: $i] :
( ( ( SV1119
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) )
= $false )
| ( ( ( c_List_Oappend @ SV1119 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= ( c_List_Oappend @ SV389 @ SV1312 @ SV802 ) )
= $true )
| ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 )
= SV389 )
= $false )
| ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV389 @ ( tc_List_Olist @ SV802 ) ) @ SV1119 @ SV802 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1119 @ ( tc_List_Olist @ SV802 ) ) @ SV389 @ SV802 ) @ SV1312 @ SV802 ) @ SV802 )
= SV1312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3572]) ).
thf(3605,plain,
! [SV1483: $i,SV1461: $i,SV1320: $i,SV814: $i,SV1130: $i,SV401: $i,SV1419: $i] :
( ( ( c_List_Olist__all2 @ SV1419 @ SV401 @ SV1130 @ SV814 @ SV1320 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1419 @ ( c_List_Oappend @ SV401 @ SV1461 @ SV814 ) @ ( c_List_Oappend @ SV1130 @ SV1483 @ SV1320 ) @ SV814 @ SV1320 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SV814 ) )
= ( c_Nat_Osize__class_Osize @ SV1130 @ ( tc_List_Olist @ SV1320 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3575]) ).
thf(3606,plain,
! [SV1131: $i,SV1484: $i,SV1321: $i,SV1462: $i,SV402: $i,SV1420: $i,SV815: $i] :
( ( ( SV815 = c_Message_Oagent_OServer )
= $true )
| ( ( ( c_Message_Oagent_Oagent__case @ SV1420 @ SV402 @ SV1462 @ SV815 @ SV1321 )
= ( c_Message_Oagent_Oagent__case @ SV1484 @ SV1131 @ SV1462 @ SV815 @ SV1321 ) )
= $true )
| ( ( ( hAPP @ SV402 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) )
= ( hAPP @ SV1131 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV815 @ SV402 @ SV1131 @ SV1321 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3576]) ).
thf(3607,plain,
! [SV1464: $i,SV1423: $i,SV1325: $i,SV406: $i,SV1135: $i,SV819: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV819 @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ SV1325 @ SV1135 @ SV406 ) )
= $false )
| ( ( ( ( c_Divides_Odiv__class_Omod @ SV1423 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1464 @ SV1135 @ SV406 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1423 @ SV819 @ SV406 ) @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1464 @ SV1325 @ SV406 ) @ SV1135 @ SV406 ) ) )
= $true )
| ( ( class_Divides_Oring__div @ SV406 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3577]) ).
thf(3608,plain,
! [SV407: $i,SV1136: $i,SV1485: $i,SV1326: $i,SV1465: $i,SV820: $i,SV1424: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
!= ( c_Nat_Osize__class_Osize @ SV1465 @ ( tc_List_Olist @ SV1326 ) ) )
= $true )
| ( ( ( c_List_Olist__all2 @ SV1485 @ ( c_List_Oappend @ SV1465 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1136 @ SV407 @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1465 @ SV1424 @ SV1326 @ SV820 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3578]) ).
thf(3609,plain,
! [SV824: $i,SV1140: $i,SV411: $i,SV1329: $i,SV1426: $i] :
( ( ( c_lessequals @ SV1426 @ SV1329 @ SV411 )
= $true )
| ( ( ~ ( c_lessequals @ SV1140 @ SV824 @ SV411 ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV824 @ SV1140 @ SV411 )
= ( c_HOL_Ominus__class_Ominus @ SV1329 @ SV1426 @ SV411 ) )
= $false )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV411 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3579]) ).
thf(3610,plain,
! [SV1142: $i,SV414: $i,SV1331: $i,SV827: $i,SV1486: $i,SV1467: $i,SV1427: $i] :
( ( ( c_List_Olist__all2 @ SV1427 @ SV1467 @ SV1486 @ SV827 @ SV1331 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1427 @ ( c_List_Oappend @ SV414 @ SV1467 @ SV827 ) @ ( c_List_Oappend @ SV1142 @ SV1486 @ SV1331 ) @ SV827 @ SV1331 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SV827 ) )
= ( c_Nat_Osize__class_Osize @ SV1142 @ ( tc_List_Olist @ SV1331 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3580]) ).
thf(3611,plain,
! [SV1332: $i,SV1428: $i,SV417: $i,SV829: $i,SV1144: $i] :
( ( ( c_lessequals @ SV1144 @ SV829 @ SV417 )
= $true )
| ( ( ~ ( c_lessequals @ SV1428 @ SV1332 @ SV417 ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV829 @ SV1144 @ SV417 )
= ( c_HOL_Ominus__class_Ominus @ SV1332 @ SV1428 @ SV417 ) )
= $false )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV417 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3581]) ).
thf(3612,plain,
! [SV1149: $i,SV424: $i,SV1487: $i,SV1336: $i,SV1469: $i,SV836: $i,SV1432: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
!= ( c_Nat_Osize__class_Osize @ SV1469 @ ( tc_List_Olist @ SV1336 ) ) )
= $true )
| ( ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SV1469 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV424 @ SV1149 @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV1432 @ SV1469 @ SV836 @ SV1336 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3582]) ).
thf(3613,plain,
! [SV1171: $i,SV1351: $i,SV861: $i,SV450: $i,SV22: $i] :
( ( ( hBOOL @ ( hAPP @ SV22 @ SV450 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV22 @ ( hAPP @ SV861 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV22 @ SV861 @ SV1351 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV22 @ SV1171 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV861 @ SV1171 @ SV1351 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3583]) ).
thf(3614,plain,
! [SV1188: $i,SV1354: $i,SV899: $i,SV497: $i,SV71: $i] :
( ( ( hBOOL @ ( hAPP @ SV71 @ SV497 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV71 @ ( hAPP @ SV899 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV71 @ SV899 @ SV1354 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV71 @ SV1188 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV71 @ ( c_Message_Oagent_Oagent__case @ SV497 @ SV899 @ SV1188 @ SV1354 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3586]) ).
thf(3615,plain,
! [SV1488: $i,SV1438: $i,SV938: $i,SV127: $i,SV1363: $i,SV1473: $i,SV553: $i,SV1204: $i] :
( ( ( SV1204
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1204 @ SV553 @ SV1473 @ SV1363 ) ) )
= $true )
| ( ( SV1204 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1204 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( c_Message_Oagent_Oagent__case @ SV127 @ SV553 @ SV938 @ SV1204 @ SV1363 )
= ( c_Message_Oagent_Oagent__case @ SV1438 @ SV1473 @ SV1488 @ SV1204 @ SV1363 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3594]) ).
thf(3616,plain,
! [SV1441: $i,SV949: $i,SV1474: $i,SV1211: $i,SV1368: $i,SV565: $i,SV139: $i] :
( ( ( c_List_Olist__all2 @ SV139 @ SV565 @ SV1368 @ SV1211 @ SV1474 )
= $false )
| ( ( c_List_Olist__all2 @ SV139 @ SV949 @ SV1441 @ SV1211 @ SV1474 )
= $false )
| ( ( c_List_Olist__all2 @ SV139 @ ( c_List_Oappend @ SV565 @ SV949 @ SV1211 ) @ ( c_List_Oappend @ SV1368 @ SV1441 @ SV1474 ) @ SV1211 @ SV1474 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3595]) ).
thf(3617,plain,
! [SV1477: $i,SV1242: $i,SV1448: $i,SV1000: $i,SV1381: $i,SV621: $i,SV198: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV198 @ SV621 ) @ SV1381 ) )
= $false )
| ( ( c_List_Olist__all2 @ SV198 @ SV1000 @ SV1448 @ SV1242 @ SV1477 )
= $false )
| ( ( c_List_Olist__all2 @ SV198 @ ( c_List_Olist_OCons @ SV621 @ SV1000 @ SV1242 ) @ ( c_List_Olist_OCons @ SV1381 @ SV1448 @ SV1477 ) @ SV1242 @ SV1477 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3596]) ).
thf(3618,plain,
! [SV1478: $i,SV1243: $i,SV1449: $i,SV1001: $i,SV1382: $i,SV622: $i,SV199: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV199 @ SV622 ) @ SV1382 ) )
= $false )
| ( ( c_List_Olist__all2 @ SV199 @ SV1001 @ SV1449 @ SV1243 @ SV1478 )
= $false )
| ( ( c_List_Olist__all2 @ SV199 @ ( c_List_Olist_OCons @ SV622 @ SV1001 @ SV1243 ) @ ( c_List_Olist_OCons @ SV1382 @ SV1449 @ SV1478 ) @ SV1243 @ SV1478 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3597]) ).
thf(3619,plain,
! [SV1479: $i,SV1244: $i,SV1450: $i,SV1002: $i,SV1383: $i,SV623: $i,SV200: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV200 @ SV623 ) @ SV1383 ) )
= $false )
| ( ( c_List_Olist__all2 @ SV200 @ SV1002 @ SV1450 @ SV1244 @ SV1479 )
= $false )
| ( ( c_List_Olist__all2 @ SV200 @ ( c_List_Olist_OCons @ SV623 @ SV1002 @ SV1244 ) @ ( c_List_Olist_OCons @ SV1383 @ SV1450 @ SV1479 ) @ SV1244 @ SV1479 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3598]) ).
thf(3620,plain,
! [SV1489: $i,SV1090: $i,SV1481: $i,SV1298: $i,SV1457: $i,SV354: $i,SV1404: $i,SV769: $i] :
( ( ( SV769 = c_Message_Oagent_OServer )
= $true )
| ( ( ( ( c_Message_Oagent_Oagent__case @ SV1404 @ SV354 @ SV1457 @ SV769 @ SV1298 )
= ( c_Message_Oagent_Oagent__case @ SV1481 @ SV1090 @ SV1489 @ SV769 @ SV1298 ) )
| ( SV769 = c_Message_Oagent_OSpy ) )
= $true )
| ( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) )
= ( hAPP @ SV1090 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3601]) ).
thf(3621,plain,
! [SV789: $i,SV376: $i,SV1108: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
= $false )
| ( ( ~ ( c_List_Odistinct @ SV789 @ SV376 )
| ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true )
| ( ( c_List_Odistinct @ SV1108 @ SV376 )
= $false )
| ( ( ( c_List_Oset @ SV789 @ SV376 )
= ( c_List_Oset @ SV1108 @ SV376 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3602]) ).
thf(3622,plain,
! [SV1115: $i,SV384: $i,SV1310: $i,SV797: $i,SV1482: $i,SV1459: $i,SV1413: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV1413 @ SV1459 @ SV1482 @ SV797 @ SV1310 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1413 @ SV384 @ SV1115 @ SV797 @ SV1310 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1413 @ ( c_List_Oappend @ SV384 @ SV1459 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SV1482 @ SV1310 ) @ SV797 @ SV1310 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SV1310 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3603]) ).
thf(3623,plain,
! [SV1320: $i,SV1483: $i,SV1130: $i,SV814: $i,SV1461: $i,SV401: $i,SV1419: $i] :
( ( ( c_List_Olist__all2 @ SV1419 @ ( c_List_Oappend @ SV401 @ SV1461 @ SV814 ) @ ( c_List_Oappend @ SV1130 @ SV1483 @ SV1320 ) @ SV814 @ SV1320 )
= $false )
| ( ( c_List_Olist__all2 @ SV1419 @ SV401 @ SV1130 @ SV814 @ SV1320 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV401 @ ( tc_List_Olist @ SV814 ) )
= ( c_Nat_Osize__class_Osize @ SV1130 @ ( tc_List_Olist @ SV1320 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3605]) ).
thf(3624,plain,
! [SV1325: $i,SV819: $i,SV1464: $i,SV406: $i,SV1135: $i,SV1423: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV1423 @ SV1135 @ SV406 )
!= ( c_Divides_Odiv__class_Omod @ SV1464 @ SV1135 @ SV406 ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1423 @ SV819 @ SV406 ) @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1464 @ SV1325 @ SV406 ) @ SV1135 @ SV406 ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ SV819 @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ SV1325 @ SV1135 @ SV406 ) )
= $false )
| ( ( class_Divides_Oring__div @ SV406 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3607]) ).
thf(3625,plain,
! [SV407: $i,SV1136: $i,SV1485: $i,SV1326: $i,SV1465: $i,SV820: $i,SV1424: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1465 @ ( tc_List_Olist @ SV1326 ) ) )
= $false )
| ( ( ( c_List_Olist__all2 @ SV1485 @ ( c_List_Oappend @ SV1465 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1136 @ SV407 @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1465 @ SV1424 @ SV1326 @ SV820 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3608]) ).
thf(3626,plain,
! [SV1329: $i,SV1426: $i,SV411: $i,SV824: $i,SV1140: $i] :
( ( ( c_lessequals @ SV1140 @ SV824 @ SV411 )
= $false )
| ( ( c_lessequals @ SV1426 @ SV1329 @ SV411 )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV824 @ SV1140 @ SV411 )
= ( c_HOL_Ominus__class_Ominus @ SV1329 @ SV1426 @ SV411 ) )
= $false )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV411 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3609]) ).
thf(3627,plain,
! [SV1331: $i,SV1486: $i,SV1142: $i,SV827: $i,SV1467: $i,SV414: $i,SV1427: $i] :
( ( ( c_List_Olist__all2 @ SV1427 @ ( c_List_Oappend @ SV414 @ SV1467 @ SV827 ) @ ( c_List_Oappend @ SV1142 @ SV1486 @ SV1331 ) @ SV827 @ SV1331 )
= $false )
| ( ( c_List_Olist__all2 @ SV1427 @ SV1467 @ SV1486 @ SV827 @ SV1331 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV414 @ ( tc_List_Olist @ SV827 ) )
= ( c_Nat_Osize__class_Osize @ SV1142 @ ( tc_List_Olist @ SV1331 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3610]) ).
thf(3628,plain,
! [SV829: $i,SV1144: $i,SV417: $i,SV1332: $i,SV1428: $i] :
( ( ( c_lessequals @ SV1428 @ SV1332 @ SV417 )
= $false )
| ( ( c_lessequals @ SV1144 @ SV829 @ SV417 )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV829 @ SV1144 @ SV417 )
= ( c_HOL_Ominus__class_Ominus @ SV1332 @ SV1428 @ SV417 ) )
= $false )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV417 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3611]) ).
thf(3629,plain,
! [SV1149: $i,SV424: $i,SV1487: $i,SV1336: $i,SV1469: $i,SV836: $i,SV1432: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1469 @ ( tc_List_Olist @ SV1336 ) ) )
= $false )
| ( ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SV1469 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV424 @ SV1149 @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV1432 @ SV1469 @ SV836 @ SV1336 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3612]) ).
thf(3630,plain,
! [SV1489: $i,SV1090: $i,SV1481: $i,SV1298: $i,SV769: $i,SV1457: $i,SV354: $i,SV1404: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV1404 @ SV354 @ SV1457 @ SV769 @ SV1298 )
= ( c_Message_Oagent_Oagent__case @ SV1481 @ SV1090 @ SV1489 @ SV769 @ SV1298 ) )
= $true )
| ( ( SV769 = c_Message_Oagent_OSpy )
= $true )
| ( ( SV769 = c_Message_Oagent_OServer )
= $true )
| ( ( ( hAPP @ SV354 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) )
= ( hAPP @ SV1090 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV769 @ SV354 @ SV1090 @ SV1298 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3620]) ).
thf(3631,plain,
! [SV1108: $i,SV376: $i,SV789: $i] :
( ( ( ~ ( c_List_Odistinct @ SV789 @ SV376 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
= $false )
| ( ( c_List_Odistinct @ SV1108 @ SV376 )
= $false )
| ( ( ( c_List_Oset @ SV789 @ SV376 )
= ( c_List_Oset @ SV1108 @ SV376 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3621]) ).
thf(3632,plain,
! [SV1115: $i,SV384: $i,SV1310: $i,SV797: $i,SV1482: $i,SV1459: $i,SV1413: $i] :
( ( ( c_List_Olist__all2 @ SV1413 @ SV1459 @ SV1482 @ SV797 @ SV1310 )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ SV1413 @ SV384 @ SV1115 @ SV797 @ SV1310 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1413 @ ( c_List_Oappend @ SV384 @ SV1459 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SV1482 @ SV1310 ) @ SV797 @ SV1310 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SV1310 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3622]) ).
thf(3633,plain,
! [SV1325: $i,SV819: $i,SV1464: $i,SV406: $i,SV1135: $i,SV1423: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV1423 @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ SV1464 @ SV1135 @ SV406 ) )
= $false )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1423 @ SV819 @ SV406 ) @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1464 @ SV1325 @ SV406 ) @ SV1135 @ SV406 ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ SV819 @ SV1135 @ SV406 )
= ( c_Divides_Odiv__class_Omod @ SV1325 @ SV1135 @ SV406 ) )
= $false )
| ( ( class_Divides_Oring__div @ SV406 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3624]) ).
thf(3634,plain,
! [SV820: $i,SV407: $i,SV1424: $i,SV1326: $i,SV1136: $i,SV1465: $i,SV1485: $i] :
( ( ( c_List_Olist__all2 @ SV1485 @ ( c_List_Oappend @ SV1465 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1485 @ SV1136 @ SV407 @ SV1326 @ SV820 )
| ~ ( c_List_Olist__all2 @ SV1485 @ SV1465 @ SV1424 @ SV1326 @ SV820 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1465 @ ( tc_List_Olist @ SV1326 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3625]) ).
thf(3635,plain,
! [SV1336: $i,SV1149: $i,SV1469: $i,SV836: $i,SV424: $i,SV1432: $i,SV1487: $i] :
( ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SV1469 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1487 @ SV424 @ SV1149 @ SV836 @ SV1336 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV1432 @ SV1469 @ SV836 @ SV1336 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1469 @ ( tc_List_Olist @ SV1336 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3629]) ).
thf(3636,plain,
! [SV1108: $i,SV376: $i,SV789: $i] :
( ( ( c_List_Odistinct @ SV789 @ SV376 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
| ( SV789 = SV1108 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
= $false )
| ( ( c_List_Odistinct @ SV1108 @ SV376 )
= $false )
| ( ( ( c_List_Oset @ SV789 @ SV376 )
= ( c_List_Oset @ SV1108 @ SV376 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3631]) ).
thf(3637,plain,
! [SV1482: $i,SV1459: $i,SV1310: $i,SV797: $i,SV1115: $i,SV384: $i,SV1413: $i] :
( ( ( c_List_Olist__all2 @ SV1413 @ SV384 @ SV1115 @ SV797 @ SV1310 )
= $false )
| ( ( c_List_Olist__all2 @ SV1413 @ SV1459 @ SV1482 @ SV797 @ SV1310 )
= $false )
| ( ( c_List_Olist__all2 @ SV1413 @ ( c_List_Oappend @ SV384 @ SV1459 @ SV797 ) @ ( c_List_Oappend @ SV1115 @ SV1482 @ SV1310 ) @ SV797 @ SV1310 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV384 @ ( tc_List_Olist @ SV797 ) )
= ( c_Nat_Osize__class_Osize @ SV1115 @ ( tc_List_Olist @ SV1310 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3632]) ).
thf(3638,plain,
! [SV1424: $i,SV1465: $i,SV820: $i,SV1326: $i,SV407: $i,SV1136: $i,SV1485: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV1485 @ SV1136 @ SV407 @ SV1326 @ SV820 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1485 @ SV1465 @ SV1424 @ SV1326 @ SV820 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1485 @ ( c_List_Oappend @ SV1465 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1465 @ ( tc_List_Olist @ SV1326 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3634]) ).
thf(3639,plain,
! [SV1469: $i,SV1432: $i,SV1336: $i,SV836: $i,SV1149: $i,SV424: $i,SV1487: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV1487 @ SV424 @ SV1149 @ SV836 @ SV1336 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1487 @ SV1432 @ SV1469 @ SV836 @ SV1336 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SV1469 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1469 @ ( tc_List_Olist @ SV1336 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3635]) ).
thf(3640,plain,
! [SV1108: $i,SV376: $i,SV789: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 ) )
= $true )
| ( ( SV789 = SV1108 )
= $true )
| ( ( c_List_Odistinct @ SV789 @ SV376 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
= $false )
| ( ( c_List_Odistinct @ SV1108 @ SV376 )
= $false )
| ( ( ( c_List_Oset @ SV789 @ SV376 )
= ( c_List_Oset @ SV1108 @ SV376 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV376 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3636]) ).
thf(3641,plain,
! [SV1424: $i,SV1465: $i,SV820: $i,SV1326: $i,SV407: $i,SV1136: $i,SV1485: $i] :
( ( ( c_List_Olist__all2 @ SV1485 @ SV1136 @ SV407 @ SV1326 @ SV820 )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ SV1485 @ SV1465 @ SV1424 @ SV1326 @ SV820 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1485 @ ( c_List_Oappend @ SV1465 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1465 @ ( tc_List_Olist @ SV1326 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3638]) ).
thf(3642,plain,
! [SV1469: $i,SV1432: $i,SV1336: $i,SV836: $i,SV1149: $i,SV424: $i,SV1487: $i] :
( ( ( c_List_Olist__all2 @ SV1487 @ SV424 @ SV1149 @ SV836 @ SV1336 )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ SV1487 @ SV1432 @ SV1469 @ SV836 @ SV1336 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SV1469 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1469 @ ( tc_List_Olist @ SV1336 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3639]) ).
thf(3643,plain,
! [SV1108: $i,SV376: $i,SV789: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV789 @ SV376 )
= $false )
| ( ( SV789 = SV1108 )
= $true )
| ( ( c_List_Odistinct @ SV789 @ SV376 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV1108 @ SV376 )
= $false )
| ( ( c_List_Odistinct @ SV1108 @ SV376 )
= $false )
| ( ( ( c_List_Oset @ SV789 @ SV376 )
= ( c_List_Oset @ SV1108 @ SV376 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3640]) ).
thf(3644,plain,
! [SV407: $i,SV1136: $i,SV820: $i,SV1326: $i,SV1424: $i,SV1465: $i,SV1485: $i] :
( ( ( c_List_Olist__all2 @ SV1485 @ SV1465 @ SV1424 @ SV1326 @ SV820 )
= $false )
| ( ( c_List_Olist__all2 @ SV1485 @ SV1136 @ SV407 @ SV1326 @ SV820 )
= $false )
| ( ( c_List_Olist__all2 @ SV1485 @ ( c_List_Oappend @ SV1465 @ SV1136 @ SV1326 ) @ ( c_List_Oappend @ SV1424 @ SV407 @ SV820 ) @ SV1326 @ SV820 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1424 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1465 @ ( tc_List_Olist @ SV1326 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV407 @ ( tc_List_Olist @ SV820 ) )
= ( c_Nat_Osize__class_Osize @ SV1136 @ ( tc_List_Olist @ SV1326 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3641]) ).
thf(3645,plain,
! [SV1149: $i,SV424: $i,SV1336: $i,SV836: $i,SV1469: $i,SV1432: $i,SV1487: $i] :
( ( ( c_List_Olist__all2 @ SV1487 @ SV1432 @ SV1469 @ SV836 @ SV1336 )
= $false )
| ( ( c_List_Olist__all2 @ SV1487 @ SV424 @ SV1149 @ SV836 @ SV1336 )
= $false )
| ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1432 @ SV424 @ SV836 ) @ ( c_List_Oappend @ SV1469 @ SV1149 @ SV1336 ) @ SV836 @ SV1336 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1432 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1469 @ ( tc_List_Olist @ SV1336 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV424 @ ( tc_List_Olist @ SV836 ) )
= ( c_Nat_Osize__class_Osize @ SV1149 @ ( tc_List_Olist @ SV1336 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3642]) ).
thf(3646,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1306,3645,3644,3643,3637,3633,3630,3628,3627,3626,3623,3619,3618,3617,3616,3615,3614,3613,3606,3604,3600,3599,3593,3592,3591,3590,3589,3588,3587,3585,3584,3574,3573,3569,3562,3561,3550,3547,3546,3545,3544,3543,3541,3540,3539,3538,3537,3536,3535,3534,3533,3532,3530,3527,3525,3522,3521,3520,3516,3515,3511,3509,3507,3504,3503,3502,3496,3495,3492,3491,3490,3488,3487,3479,3477,3476,3474,3454,3452,3436,3435,3432,3430,3429,3426,3423,3419,3418,3417,3416,3415,3414,3413,3412,3411,3409,3408,3407,3406,3402,3401,3396,3394,3388,3381,3369,3363,3362,3361,3360,3357,3346,3345,3344,3333,3321,3319,3314,3313,3307,3300,3295,3290,3289,3288,3283,3279,3278,3276,3275,3273,3270,3266,3265,3262,3261,3260,3259,3258,3257,3255,3254,3253,3249,3246,3245,3238,3237,3236,3235,3234,3233,3232,3231,3230,3229,3228,3220,3217,3216,3203,3200,3199,3197,3196,3192,3191,3172,3165,3157,3147,3145,3140,3133,3132,3131,3130,3129,3127,3126,3124,3119,3114,3113,3111,3110,3109,3108,3107,3106,3105,3104,3103,3102,3101,3100,3099,3098,3097,3096,3094,3088,3087,3081,3080,3075,3074,3071,3070,3067,3066,3064,3063,3062,3051,3050,3049,3048,3047,3039,3037,3035,3031,3026,3025,3024,3023,3022,3018,3015,2988,2970,2964,2963,2947,2946,2945,2937,2935,2932,2929,2913,2910,2902,2900,2890,2886,2885,2879,2876,2869,2868,2867,2864,2863,2862,2859,2855,2854,2851,2849,2848,2843,2840,2832,2830,2829,2828,2827,2819,2817,2808,2797,2793,2776,2765,2764,2760,2756,2755,2753,2748,2747,2746,2745,2738,2737,2735,2734,2722,2704,2701,2696,2695,2694,2693,2688,2687,2680,2673,2665,2657,2654,2647,2644,2643,2641,2640,2639,2558,2555,2549,2545,2544,2540,2539,2538,2537,2535,2527,2526,2525,2524,2523,2518,2514,2497,2494,2484,2481,2476,2471,2461,2443,2431,2427,2421,2419,2412,2405,2399,2387,2384,2383,2379,2377,2376,2375,2357,2355,2352,2351,2349,2347,2346,2343,2341,2340,2336,2335,2333,2331,2319,2311,2309,2307,2303,2294,2293,2291,2288,2284,2265,2252,2208,2205,2186,2182,2181,2180,2179,2178,2171,2166,2162,2151,2148,2142,2137,2130,2124,2121,2119,2117,2116,2115,2114,2113,2112,2111,2109,2105,2093,2089,2081,2068,2067,2061,2054,1954,1943,1927,1922,1910,1909,1878,1874,1823,1809,1807,1768,1762,1758,1757,1727,1701,1699,1682,1599,1596,1593,1478,1476,1436,1435,1331,1330,1329,1328,1327,1326,1325,1324,1323]) ).
thf(3647,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3646]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV779-1 : 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
% 0.12/0.17 % Computer : n015.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.17 % CPULimit : 300
% 0.12/0.17 % WCLimit : 300
% 0.12/0.17 % DateTime : Tue Oct 6 16:47:13 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.11/7.44 ...
% 43.11/7.44
% 43.11/7.44 No.of.Axioms: 443
% 43.11/7.44
% 43.11/7.44 Length.of.Defs: 0
% 43.11/7.44
% 43.11/7.44 Contains.Choice.Funs: false
% 43.11/7.44 ............................................................................................................................................
% 43.11/7.44
% 43.11/7.44 ********************************
% 43.11/7.44 * All subproblems solved! *
% 43.11/7.44 ********************************
% 43.11/7.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:443,ps:3,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:3646,loop_count:0,foatp_calls:1,translation:fof_full)
% 43.11/7.44
% 43.11/7.44 %**** Beginning of derivation protocol ****
% 43.11/7.44 % SZS output start CNFRefutation
% See solution above
% 43.11/7.46
% 43.11/7.46 %**** End of derivation protocol ****
% 43.11/7.46 %**** no. of clauses in derivation: 3647 ****
% 43.11/7.46 %**** clause counter: 3646 ****
% 43.11/7.46
% 43.11/7.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:443,ps:3,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:3646,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------