%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV778-1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 10:58:55 AM UTC 2026
% Result : Unsatisfiable 29.67s 5.19s
% Output : CNFRefutation 5.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 444
% Syntax : Number of formulae : 3747 (2583 unt; 0 typ; 0 def)
% Number of atoms : 17515 (8052 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 51417 (3139 ~;4452 |; 0 &;43826 @)
% ( 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 : 14005 ( 0 ^;14005 !; 0 ?;14005 :)
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
thf(3,axiom,
class_HOL_Oord @ tc_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
thf(4,axiom,
class_Orderings_Oorder @ tc_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
thf(5,axiom,
class_Orderings_Opreorder @ tc_bool,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
thf(6,axiom,
class_HOL_Oord @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
thf(7,axiom,
class_Orderings_Oorder @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
thf(8,axiom,
class_Orderings_Olinorder @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
thf(9,axiom,
class_Orderings_Opreorder @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
thf(10,axiom,
class_Divides_Osemiring__div @ tc_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).
thf(11,axiom,
class_OrderedGroup_Ocomm__monoid__add @ tc_nat,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
thf(47,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_2) ).
thf(50,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
thf(365,axiom,
! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ tc_nat ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_le__trans_0) ).
thf(367,axiom,
! [V_n: $i] : ( c_lessequals @ V_n @ V_n @ tc_nat ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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,
( ( ! [V_X: $i,V_Y: $i] :
( ( V_X = V_Y )
| ! [T_a: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_X ) @ V_Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[447]) ).
thf(892,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(extcnf_combined,[status(esa)],[462]) ).
thf(893,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(extcnf_combined,[status(esa)],[466]) ).
thf(894,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(extcnf_combined,[status(esa)],[467]) ).
thf(895,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(extcnf_combined,[status(esa)],[472]) ).
thf(896,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(extcnf_combined,[status(esa)],[473]) ).
thf(897,plain,
( ( ! [T_a: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ T_a )
| ! [V_xs: $i] :
( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ T_a ) @ V_xs ) @ T_a )
= ( c_List_Olistsum @ V_xs @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[487]) ).
thf(898,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(extcnf_combined,[status(esa)],[493]) ).
thf(899,plain,
( ( ! [V_nat: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ V_nat ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[494]) ).
thf(900,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(extcnf_combined,[status(esa)],[496]) ).
thf(901,plain,
( ( ! [V_nat: $i] :
( ( c_Message_Oagent_OFriend @ V_nat )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_combined,[status(esa)],[498]) ).
thf(902,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(extcnf_combined,[status(esa)],[501]) ).
thf(903,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(extcnf_combined,[status(esa)],[505]) ).
thf(904,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(extcnf_combined,[status(esa)],[506]) ).
thf(905,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(extcnf_combined,[status(esa)],[510]) ).
thf(906,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(extcnf_combined,[status(esa)],[513]) ).
thf(907,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(extcnf_combined,[status(esa)],[516]) ).
thf(908,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(extcnf_combined,[status(esa)],[518]) ).
thf(909,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(extcnf_combined,[status(esa)],[519]) ).
thf(910,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(extcnf_combined,[status(esa)],[520]) ).
thf(911,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(extcnf_combined,[status(esa)],[525]) ).
thf(912,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(extcnf_combined,[status(esa)],[528]) ).
thf(913,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(extcnf_combined,[status(esa)],[529]) ).
thf(914,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(extcnf_combined,[status(esa)],[531]) ).
thf(915,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(extcnf_combined,[status(esa)],[534]) ).
thf(916,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(extcnf_combined,[status(esa)],[536]) ).
thf(917,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(extcnf_combined,[status(esa)],[541]) ).
thf(918,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(extcnf_combined,[status(esa)],[542]) ).
thf(919,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(extcnf_combined,[status(esa)],[544]) ).
thf(920,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(extcnf_combined,[status(esa)],[546]) ).
thf(921,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(extcnf_combined,[status(esa)],[547]) ).
thf(922,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(extcnf_combined,[status(esa)],[555]) ).
thf(923,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(extcnf_combined,[status(esa)],[556]) ).
thf(924,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(extcnf_combined,[status(esa)],[559]) ).
thf(925,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_a: $i,V_xs: $i] :
( ( 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(extcnf_combined,[status(esa)],[561]) ).
thf(926,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_P: $i,V_xs: $i] :
( ( 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(extcnf_combined,[status(esa)],[568]) ).
thf(927,plain,
( ( ! [V_P: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ V_ys @ T_a )
| ! [V_xs: $i] :
~ ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[572]) ).
thf(928,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ! [V_ys: $i] :
~ ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[573]) ).
thf(929,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(extcnf_combined,[status(esa)],[574]) ).
thf(930,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(extcnf_combined,[status(esa)],[575]) ).
thf(931,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(extcnf_combined,[status(esa)],[578]) ).
thf(932,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_l: $i] :
( ( 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(extcnf_combined,[status(esa)],[583]) ).
thf(933,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(extcnf_combined,[status(esa)],[584]) ).
thf(934,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_ys: $i] :
( ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ! [V_xs: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[586]) ).
thf(935,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_xs: $i] :
( ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ! [V_ys: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[587]) ).
thf(936,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_list = V_list_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[588]) ).
thf(937,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i] :
( ! [V_list_H: $i] :
( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[589]) ).
thf(938,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(extcnf_combined,[status(esa)],[590]) ).
thf(939,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ! [V_n: $i] :
~ ( c_List_Odistinct @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[603]) ).
thf(940,plain,
( ( ! [V_xs: $i,T_b: $i] :
( ( c_List_Odistinct @ V_xs @ T_b )
| ! [V_f: $i,T_a: $i] :
~ ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[606]) ).
thf(941,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(extcnf_combined,[status(esa)],[609]) ).
thf(942,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(extcnf_combined,[status(esa)],[610]) ).
thf(943,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(extcnf_combined,[status(esa)],[614]) ).
thf(944,plain,
( ( ! [V_P: $i,V_x: $i] :
( ! [V_xs: $i,T_a: $i] :
( ( c_List_OdropWhile @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) )
| ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[616]) ).
thf(945,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(extcnf_combined,[status(esa)],[620]) ).
thf(946,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 ) ) )
| ! [V_us: $i,V_vs: $i] :
( ( 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(extcnf_combined,[status(esa)],[621]) ).
thf(947,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 )
| ! [V_us: $i,V_vs: $i] :
~ ( 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(extcnf_combined,[status(esa)],[622]) ).
thf(948,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(extcnf_combined,[status(esa)],[623]) ).
thf(949,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(extcnf_combined,[status(esa)],[624]) ).
thf(950,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(extcnf_combined,[status(esa)],[626]) ).
thf(951,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $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 ) ) )
| ! [V_m: $i,V_zs: $i] :
( ( 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(extcnf_combined,[status(esa)],[627]) ).
thf(952,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $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 ) ) )
| ! [V_m: $i,V_zs: $i] :
( ( 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(extcnf_combined,[status(esa)],[628]) ).
thf(953,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(extcnf_combined,[status(esa)],[629]) ).
thf(954,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(extcnf_combined,[status(esa)],[631]) ).
thf(955,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(extcnf_combined,[status(esa)],[633]) ).
thf(956,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $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 ) ) )
| ! [V_P: $i] :
~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[634]) ).
thf(957,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__ex @ V_P @ V_xs @ T_a )
| ! [V_x: $i] :
( ( 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(extcnf_combined,[status(esa)],[635]) ).
thf(958,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(extcnf_combined,[status(esa)],[640]) ).
thf(959,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(extcnf_combined,[status(esa)],[641]) ).
thf(960,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(extcnf_combined,[status(esa)],[647]) ).
thf(961,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(extcnf_combined,[status(esa)],[648]) ).
thf(962,plain,
( ( ! [V_ys: $i,T_a: $i] :
( ( c_List_Odistinct @ V_ys @ T_a )
| ! [V_xs: $i] :
~ ( c_List_Odistinct @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[649]) ).
thf(963,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ! [V_ys: $i] :
~ ( c_List_Odistinct @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[650]) ).
thf(964,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ! [V_x: $i,V_y: $i] :
~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[652]) ).
thf(965,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(extcnf_combined,[status(esa)],[653]) ).
thf(966,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_n: $i,V_xs: $i] :
( ( 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(extcnf_combined,[status(esa)],[654]) ).
thf(967,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(extcnf_combined,[status(esa)],[655]) ).
thf(968,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(extcnf_combined,[status(esa)],[656]) ).
thf(969,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(extcnf_combined,[status(esa)],[657]) ).
thf(970,plain,
( ( ! [V_A: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olistsp @ V_A @ V_ys @ T_a )
| ! [V_xs: $i] :
~ ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[658]) ).
thf(971,plain,
( ( ! [V_A: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olistsp @ V_A @ V_xs @ T_a )
| ! [V_ys: $i] :
~ ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[659]) ).
thf(972,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(extcnf_combined,[status(esa)],[660]) ).
thf(973,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(extcnf_combined,[status(esa)],[661]) ).
thf(974,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(extcnf_combined,[status(esa)],[662]) ).
thf(975,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(extcnf_combined,[status(esa)],[663]) ).
thf(976,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(extcnf_combined,[status(esa)],[664]) ).
thf(977,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(extcnf_combined,[status(esa)],[665]) ).
thf(978,plain,
( ( ! [V_ys: $i,T_b: $i] :
( ( V_ys
= ( c_List_Olist_ONil @ T_b ) )
| ! [V_P: $i,T_a: $i] :
~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[667]) ).
thf(979,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( V_xs
= ( c_List_Olist_ONil @ T_a ) )
| ! [V_P: $i,T_b: $i] :
~ ( c_List_Olist__all2 @ V_P @ V_xs @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[668]) ).
thf(980,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(extcnf_combined,[status(esa)],[669]) ).
thf(981,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(extcnf_combined,[status(esa)],[670]) ).
thf(982,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(extcnf_combined,[status(esa)],[671]) ).
thf(983,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(extcnf_combined,[status(esa)],[672]) ).
thf(984,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(extcnf_combined,[status(esa)],[673]) ).
thf(985,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(extcnf_combined,[status(esa)],[674]) ).
thf(986,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(extcnf_combined,[status(esa)],[678]) ).
thf(987,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(extcnf_combined,[status(esa)],[680]) ).
thf(988,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ! [V_x: $i] :
~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[682]) ).
thf(989,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_x: $i] : ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[686]) ).
thf(990,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i] :
( V_xs
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[693]) ).
thf(991,plain,
( ( ! [V_x: $i,V_t: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_t @ T_a )
!= V_t ) )
= $true ),
inference(extcnf_combined,[status(esa)],[694]) ).
thf(992,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 ) ) )
| ! [V_us: $i,V_vs: $i] :
( ( 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(extcnf_combined,[status(esa)],[695]) ).
thf(993,plain,
( ( ! [V_P: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ! [V_xs: $i,T_a: $i] :
~ ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[697]) ).
thf(994,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(extcnf_combined,[status(esa)],[699]) ).
thf(995,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ! [V_x: $i] :
~ ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[700]) ).
thf(996,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_xs: $i] :
( ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ! [V_x: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[702]) ).
thf(997,plain,
( ( ! [V_P: $i,V_x: $i,V_y: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) )
| ! [V_ys: $i,T_b: $i] :
~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[709]) ).
thf(998,plain,
( ( ! [V_nat_H: $i] :
( ( c_Message_Oagent_OFriend @ V_nat_H )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_combined,[status(esa)],[710]) ).
thf(999,plain,
( ( ! [V_xa: $i,T_b: $i,V_ys: $i,T_a: $i,V_x: $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 ) ) )
| ! [V_xs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_x @ ( tc_List_Olist @ T_b ) )
!= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) )
| ! [V_P: $i] :
( ( 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(extcnf_combined,[status(esa)],[723]) ).
thf(1000,plain,
( ( ! [V_xa: $i,T_a: $i,V_zs: $i,T_b: $i,V_x: $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 ) ) )
| ! [V_ys: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_x @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ! [V_P: $i] :
( ( 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(extcnf_combined,[status(esa)],[724]) ).
thf(1001,plain,
( ( ! [T_a: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_zs: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ! [V_x: $i] :
~ ( 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(extcnf_combined,[status(esa)],[726]) ).
thf(1002,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_xs: $i,V_ys: $i] :
( ( ( 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(extcnf_combined,[status(esa)],[727]) ).
thf(1003,plain,
( ( ! [V_xs: $i,V_ys: $i] :
( ( V_xs = V_ys )
| ! [T_a: $i] :
~ ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_xs @ V_ys @ T_a @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[729]) ).
thf(1004,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(extcnf_combined,[status(esa)],[730]) ).
thf(1005,plain,
( ( ! [V_nat_H: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ V_nat_H ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[733]) ).
thf(1006,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_n: $i,V_xs: $i] :
( ( 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(extcnf_combined,[status(esa)],[736]) ).
thf(1007,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(extcnf_combined,[status(esa)],[740]) ).
thf(1008,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(extcnf_combined,[status(esa)],[743]) ).
thf(1009,plain,
( ( ! [T_b: $i,V_f: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ T_b )
| ! [V_xs: $i,T_a: $i] :
( ( ( 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(extcnf_combined,[status(esa)],[747]) ).
thf(1010,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,T_a: $i,V_ys_092_060_094isub_0621: $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 ) )
| ! [V_ys_092_060_094isub_0622: $i] :
( ( 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(extcnf_combined,[status(esa)],[748]) ).
thf(1011,plain,
( ( ! [V_ys_092_060_094isub_0621: $i,T_a: $i,V_xs_092_060_094isub_0621: $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 )
| ! [V_xs_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 @ ( 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 ) )
| ( 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(extcnf_combined,[status(esa)],[749]) ).
thf(1012,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(extcnf_combined,[status(esa)],[750]) ).
thf(1013,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(extcnf_combined,[status(esa)],[751]) ).
thf(1014,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(extcnf_combined,[status(esa)],[752]) ).
thf(1015,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(extcnf_combined,[status(esa)],[753]) ).
thf(1016,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(extcnf_combined,[status(esa)],[754]) ).
thf(1017,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(extcnf_combined,[status(esa)],[755]) ).
thf(1018,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(extcnf_combined,[status(esa)],[756]) ).
thf(1019,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(extcnf_combined,[status(esa)],[757]) ).
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__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(extcnf_combined,[status(esa)],[758]) ).
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(extcnf_combined,[status(esa)],[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__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(extcnf_combined,[status(esa)],[760]) ).
thf(1023,plain,
( ( ! [V_xb: $i,V_f2: $i,V_g2: $i,T_a: $i] :
( ( V_xb
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) ) )
| ! [V_xa: $i,V_x: $i] :
( ( 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(extcnf_combined,[status(esa)],[764]) ).
thf(1024,plain,
( ( ! [V_f2: $i,V_xa: $i,V_g2: $i,T_a: $i,V_f1: $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 )
| ! [V_x: $i,V_g1: $i] :
( ( 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(extcnf_combined,[status(esa)],[765]) ).
thf(1025,plain,
( ( ! [V_f2: $i,V_xa: $i,V_g2: $i,T_a: $i,V_x: $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_f3: $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 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[772]) ).
thf(1026,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_y: $i,V_zs: $i] :
( ( 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(extcnf_combined,[status(esa)],[782]) ).
thf(1027,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_y: $i] :
( ( c_lessequals @ V_x @ V_y @ T_a )
| ! [V_zs: $i] :
~ ( 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(extcnf_combined,[status(esa)],[783]) ).
thf(1028,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_y: $i,V_x: $i] :
( ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[797]) ).
thf(1029,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ! [V_x_H: $i,V_y_H: $i] :
( ( ( 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(extcnf_combined,[status(esa)],[800]) ).
thf(1030,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ! [V_x_H: $i,V_y_H: $i] :
( ( ( 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(extcnf_combined,[status(esa)],[801]) ).
thf(1031,plain,
( ( ! [V_Q: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ! [V_P: $i] :
( ! [T_a: $i] :
~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[803]) ).
thf(1032,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[804]) ).
thf(1033,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[805]) ).
thf(1034,plain,
( ( ! [V_Q: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ! [V_P: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ! [T_a: $i] :
~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[806]) ).
thf(1035,plain,
( ( ! [V_f: $i,V_A: $i,T_a: $i,T_b: $i] :
( ( c_Fun_Oinj__on @ V_f @ V_A @ T_a @ T_b )
| ! [V_B: $i] :
( ~ ( 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(extcnf_combined,[status(esa)],[807]) ).
thf(1036,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ! [V_B: $i] :
( ~ ( 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(extcnf_combined,[status(esa)],[808]) ).
thf(1037,plain,
( ( ! [V_i: $i,V_k: $i] :
( ( c_lessequals @ V_i @ V_k @ tc_nat )
| ! [V_j: $i] :
( ~ ( c_lessequals @ V_j @ V_k @ tc_nat )
| ~ ( c_lessequals @ V_i @ V_j @ tc_nat ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[812]) ).
thf(1038,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ! [V_z: $i] :
( ( c_lessequals @ V_x @ V_z @ T_a )
| ! [V_y: $i] :
( ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[814]) ).
thf(1039,plain,
( ( ! [T_a: $i,V_z: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i] :
( ( c_lessequals @ V_z @ V_x @ T_a )
| ! [V_y: $i] :
( ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[815]) ).
thf(1040,plain,
( ( ! [T_a: $i,V_b: $i,V_c: $i,V_b_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 ) )
| ! [V_a: $i,V_a_H: $i] :
( ( ( 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(extcnf_combined,[status(esa)],[818]) ).
thf(1041,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i,V_y: $i] :
( ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[819]) ).
thf(1042,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i,V_y: $i] :
( ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[820]) ).
thf(1043,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i,V_y: $i] :
( ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[821]) ).
thf(1044,plain,
( ( ! [V_A: $i,V_B: $i] :
( ( V_A = V_B )
| ! [T_a: $i] :
( ~ ( 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(extcnf_combined,[status(esa)],[822]) ).
thf(1045,plain,
( ( ! [V_A: $i,V_B: $i] :
( ( V_A = V_B )
| ! [T_a: $i] :
( ~ ( 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(extcnf_combined,[status(esa)],[824]) ).
thf(1046,plain,
( ( ! [V_A: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ! [V_y: $i] :
( ( V_y = V_x )
| ! [T_a: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[828]) ).
thf(1047,plain,
( ( ! [T_a: $i] :
( ~ ( class_Divides_Osemiring__div @ T_a )
| ! [V_a: $i,V_b: $i] :
( ( 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(extcnf_combined,[status(esa)],[830]) ).
thf(1048,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ! [V_x: $i] :
~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[832]) ).
thf(1049,plain,
( ( ! [V_f: $i,V_A: $i,T_a: $i,T_b: $i] :
( ( c_Fun_Oinj__on @ V_f @ V_A @ T_a @ T_b )
| ! [V_a: $i] :
~ ( c_Fun_Oinj__on @ V_f @ ( c_Set_Oinsert @ V_a @ V_A @ T_a ) @ T_a @ T_b ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[834]) ).
thf(1050,plain,
( ( ! [T_a: $i,V_a: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ! [V_b: $i,V_c: $i] :
( ( 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(extcnf_combined,[status(esa)],[835]) ).
thf(1051,plain,
( ( ! [T_a: $i,V_a: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ! [V_b: $i,V_c: $i] :
( ( 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(extcnf_combined,[status(esa)],[836]) ).
thf(1052,plain,
( ( ! [V_m: $i,V_n: $i] :
( ( c_lessequals @ V_m @ V_n @ tc_nat )
| ! [V_k: $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_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[841]) ).
thf(1053,plain,
( ( ! [T_a: $i,V_xa: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ T_a )
| ! [V_y: $i] :
( ! [V_x: $i] :
( ( 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(extcnf_combined,[status(esa)],[842]) ).
thf(1054,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ T_a )
| ! [V_x_H: $i,V_y_H: $i] :
( ( ( 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(extcnf_combined,[status(esa)],[843]) ).
thf(1055,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(extcnf_combined,[status(esa)],[844]) ).
thf(1056,plain,
( ( ! [T_a: $i,V_a: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ! [V_b: $i,V_c: $i] :
( ( 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(extcnf_combined,[status(esa)],[852]) ).
thf(1057,plain,
( ( ! [V_f2: $i,V_xb: $i,V_g2: $i,T_a: $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 ) ) )
| ! [V_xa: $i,V_x: $i] :
( ( 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(extcnf_combined,[status(esa)],[856]) ).
thf(1058,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ! [V_g: $i] :
( ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_g @ V_x ) @ T_b )
| ! [T_a: $i] :
~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[857]) ).
thf(1059,plain,
( ( ! [V_xa: $i,V_f2: $i,V_g2: $i,T_a: $i,V_f1: $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 )
| ! [V_x: $i,V_g1: $i] :
( ( 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(extcnf_combined,[status(esa)],[863]) ).
thf(1060,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(extcnf_combined,[status(esa)],[866]) ).
thf(1061,plain,
( ( ! [V_f2: $i,V_x: $i,V_g2: $i,T_a: $i,V_f1: $i,V_f3: $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 )
| ! [V_g1: $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 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[870]) ).
thf(1062,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(extcnf_combined,[status(esa)],[873]) ).
thf(1063,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(extcnf_combined,[status(esa)],[874]) ).
thf(1064,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(extcnf_combined,[status(esa)],[875]) ).
thf(1065,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(extcnf_combined,[status(esa)],[877]) ).
thf(1066,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(extcnf_combined,[status(esa)],[879]) ).
thf(1067,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(extcnf_combined,[status(esa)],[882]) ).
thf(1068,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(extcnf_combined,[status(esa)],[883]) ).
thf(1069,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(extcnf_combined,[status(esa)],[884]) ).
thf(1070,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(extcnf_combined,[status(esa)],[886]) ).
thf(1071,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(extcnf_combined,[status(esa)],[887]) ).
thf(1072,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(extcnf_combined,[status(esa)],[889]) ).
thf(1073,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)],[1072]) ).
thf(1074,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(1075,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)],[1071]) ).
thf(1076,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)],[1070]) ).
thf(1077,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(1078,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)],[1069]) ).
thf(1079,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)],[1068]) ).
thf(1080,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)],[1067]) ).
thf(1081,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(1082,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(1083,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)],[1066]) ).
thf(1084,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(1085,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)],[1065]) ).
thf(1086,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(1087,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)],[1064]) ).
thf(1088,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)],[1063]) ).
thf(1089,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)],[1062]) ).
thf(1090,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(1091,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(1092,plain,
( ( ! [V_f2: $i,V_x: $i,V_g2: $i,T_a: $i,V_f1: $i,V_f3: $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 )
| ! [V_g1: $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 ) ) )
= $true ),
inference(copy,[status(thm)],[1061]) ).
thf(1093,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(1094,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(1095,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(1096,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)],[1060]) ).
thf(1097,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(1098,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(1099,plain,
( ( ! [V_xa: $i,V_f2: $i,V_g2: $i,T_a: $i,V_f1: $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 )
| ! [V_x: $i,V_g1: $i] :
( ( 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)],[1059]) ).
thf(1100,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(1101,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(1102,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(1103,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(1104,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(1105,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ! [V_g: $i] :
( ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_g @ V_x ) @ T_b )
| ! [T_a: $i] :
~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1058]) ).
thf(1106,plain,
( ( ! [V_f2: $i,V_xb: $i,V_g2: $i,T_a: $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 ) ) )
| ! [V_xa: $i,V_x: $i] :
( ( 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)],[1057]) ).
thf(1107,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(1108,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(1109,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(1110,plain,
( ( ! [T_a: $i,V_a: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ! [V_b: $i,V_c: $i] :
( ( 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)],[1056]) ).
thf(1111,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(1112,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(1113,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(1114,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(1115,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(1116,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(1117,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(1118,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)],[1055]) ).
thf(1119,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ T_a )
| ! [V_x_H: $i,V_y_H: $i] :
( ( ( 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)],[1054]) ).
thf(1120,plain,
( ( ! [T_a: $i,V_xa: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ T_a )
| ! [V_y: $i] :
( ! [V_x: $i] :
( ( 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)],[1053]) ).
thf(1121,plain,
( ( ! [V_m: $i,V_n: $i] :
( ( c_lessequals @ V_m @ V_n @ tc_nat )
| ! [V_k: $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_k @ V_n @ tc_nat )
| ~ ( c_lessequals @ V_k @ V_m @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[1052]) ).
thf(1122,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(1123,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(1124,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(1125,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(1126,plain,
( ( ! [T_a: $i,V_a: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ! [V_b: $i,V_c: $i] :
( ( 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)],[1051]) ).
thf(1127,plain,
( ( ! [T_a: $i,V_a: $i] :
( ~ ( class_Divides_Oring__div @ T_a )
| ! [V_b: $i,V_c: $i] :
( ( 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)],[1050]) ).
thf(1128,plain,
( ( ! [V_f: $i,V_A: $i,T_a: $i,T_b: $i] :
( ( c_Fun_Oinj__on @ V_f @ V_A @ T_a @ T_b )
| ! [V_a: $i] :
~ ( c_Fun_Oinj__on @ V_f @ ( c_Set_Oinsert @ V_a @ V_A @ T_a ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[1049]) ).
thf(1129,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(1130,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ! [V_x: $i] :
~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1048]) ).
thf(1131,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(1132,plain,
( ( ! [T_a: $i] :
( ~ ( class_Divides_Osemiring__div @ T_a )
| ! [V_a: $i,V_b: $i] :
( ( 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)],[1047]) ).
thf(1133,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(1134,plain,
( ( ! [V_A: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ! [V_y: $i] :
( ( V_y = V_x )
| ! [T_a: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1046]) ).
thf(1135,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(1136,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(1137,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(1138,plain,
( ( ! [V_A: $i,V_B: $i] :
( ( V_A = V_B )
| ! [T_a: $i] :
( ~ ( 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)],[1045]) ).
thf(1139,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(1140,plain,
( ( ! [V_A: $i,V_B: $i] :
( ( V_A = V_B )
| ! [T_a: $i] :
( ~ ( 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)],[1044]) ).
thf(1141,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i,V_y: $i] :
( ( 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)],[1043]) ).
thf(1142,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i,V_y: $i] :
( ( 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)],[1042]) ).
thf(1143,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i,V_y: $i] :
( ( 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)],[1041]) ).
thf(1144,plain,
( ( ! [T_a: $i,V_b: $i,V_c: $i,V_b_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 ) )
| ! [V_a: $i,V_a_H: $i] :
( ( ( 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)],[1040]) ).
thf(1145,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(1146,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(1147,plain,
( ( ! [T_a: $i,V_z: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i] :
( ( c_lessequals @ V_z @ V_x @ T_a )
| ! [V_y: $i] :
( ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1039]) ).
thf(1148,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ! [V_z: $i] :
( ( c_lessequals @ V_x @ V_z @ T_a )
| ! [V_y: $i] :
( ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1038]) ).
thf(1149,plain,
( ( ! [V_n: $i] : ( c_lessequals @ V_n @ V_n @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[813]) ).
thf(1150,plain,
( ( ! [V_i: $i,V_k: $i] :
( ( c_lessequals @ V_i @ V_k @ tc_nat )
| ! [V_j: $i] :
( ~ ( c_lessequals @ V_j @ V_k @ tc_nat )
| ~ ( c_lessequals @ V_i @ V_j @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[1037]) ).
thf(1151,plain,
( ( ! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[811]) ).
thf(1152,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(1153,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(1154,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ! [V_B: $i] :
( ~ ( 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)],[1036]) ).
thf(1155,plain,
( ( ! [V_f: $i,V_A: $i,T_a: $i,T_b: $i] :
( ( c_Fun_Oinj__on @ V_f @ V_A @ T_a @ T_b )
| ! [V_B: $i] :
( ~ ( 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)],[1035]) ).
thf(1156,plain,
( ( ! [V_Q: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ! [V_P: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ! [T_a: $i] :
~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1034]) ).
thf(1157,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1033]) ).
thf(1158,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1032]) ).
thf(1159,plain,
( ( ! [V_Q: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ! [V_P: $i] :
( ! [T_a: $i] :
~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1031]) ).
thf(1160,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(1161,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ! [V_x_H: $i,V_y_H: $i] :
( ( ( 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)],[1030]) ).
thf(1162,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ! [V_x_H: $i,V_y_H: $i] :
( ( ( 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)],[1029]) ).
thf(1163,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(1164,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(1165,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_y: $i,V_x: $i] :
( ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1028]) ).
thf(1166,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(1167,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(1168,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(1169,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(1170,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(1171,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(1172,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(1173,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(1174,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(1175,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(1176,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(1177,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(1178,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(1179,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_y: $i] :
( ( c_lessequals @ V_x @ V_y @ T_a )
| ! [V_zs: $i] :
~ ( 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)],[1027]) ).
thf(1180,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_y: $i,V_zs: $i] :
( ( 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)],[1026]) ).
thf(1181,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(1182,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(1183,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(1184,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(1185,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(1186,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(1187,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(1188,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(1189,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(1190,plain,
( ( ! [V_f2: $i,V_xa: $i,V_g2: $i,T_a: $i,V_x: $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_f3: $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 ) ) )
= $true ),
inference(copy,[status(thm)],[1025]) ).
thf(1191,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(1192,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(1193,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(1194,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(1195,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(1196,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(1197,plain,
( ( ! [V_f2: $i,V_xa: $i,V_g2: $i,T_a: $i,V_f1: $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 )
| ! [V_x: $i,V_g1: $i] :
( ( 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)],[1024]) ).
thf(1198,plain,
( ( ! [V_xb: $i,V_f2: $i,V_g2: $i,T_a: $i] :
( ( V_xb
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ V_xb @ V_f2 @ V_g2 @ T_a ) ) )
| ! [V_xa: $i,V_x: $i] :
( ( 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)],[1023]) ).
thf(1199,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(1200,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(1201,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(1202,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)],[1022]) ).
thf(1203,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)],[1021]) ).
thf(1204,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)],[1020]) ).
thf(1205,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)],[1019]) ).
thf(1206,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)],[1018]) ).
thf(1207,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)],[1017]) ).
thf(1208,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)],[1016]) ).
thf(1209,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)],[1015]) ).
thf(1210,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)],[1014]) ).
thf(1211,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)],[1013]) ).
thf(1212,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)],[1012]) ).
thf(1213,plain,
( ( ! [V_ys_092_060_094isub_0621: $i,T_a: $i,V_xs_092_060_094isub_0621: $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 )
| ! [V_xs_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 @ ( 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 ) )
| ( 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)],[1011]) ).
thf(1214,plain,
( ( ! [V_xs_092_060_094isub_0621: $i,T_a: $i,V_ys_092_060_094isub_0621: $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 ) )
| ! [V_ys_092_060_094isub_0622: $i] :
( ( 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)],[1010]) ).
thf(1215,plain,
( ( ! [T_b: $i,V_f: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ T_b )
| ! [V_xs: $i,T_a: $i] :
( ( ( 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)],[1009]) ).
thf(1216,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(1217,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(1218,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(1219,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)],[1008]) ).
thf(1220,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(1221,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(1222,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)],[1007]) ).
thf(1223,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(1224,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(1225,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(1226,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_n: $i,V_xs: $i] :
( ( 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)],[1006]) ).
thf(1227,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(1228,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(1229,plain,
( ( ! [V_nat_H: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[1005]) ).
thf(1230,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(1231,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(1232,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)],[1004]) ).
thf(1233,plain,
( ( ! [V_xs: $i,V_ys: $i] :
( ( V_xs = V_ys )
| ! [T_a: $i] :
~ ( c_List_Olist__all2 @ ( c_fequal @ T_a ) @ V_xs @ V_ys @ T_a @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1003]) ).
thf(1234,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(1235,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_xs: $i,V_ys: $i] :
( ( ( 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)],[1002]) ).
thf(1236,plain,
( ( ! [T_a: $i,V_y: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_zs: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ! [V_x: $i] :
~ ( 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)],[1001]) ).
thf(1237,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(1238,plain,
( ( ! [V_xa: $i,T_a: $i,V_zs: $i,T_b: $i,V_x: $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 ) ) )
| ! [V_ys: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_x @ ( tc_List_Olist @ T_a ) )
!= ( c_Nat_Osize__class_Osize @ V_ys @ ( tc_List_Olist @ T_b ) ) )
| ! [V_P: $i] :
( ( 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)],[1000]) ).
thf(1239,plain,
( ( ! [V_xa: $i,T_b: $i,V_ys: $i,T_a: $i,V_x: $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 ) ) )
| ! [V_xs: $i] :
( ( ( c_Nat_Osize__class_Osize @ V_x @ ( tc_List_Olist @ T_b ) )
!= ( c_Nat_Osize__class_Osize @ V_xs @ ( tc_List_Olist @ T_a ) ) )
| ! [V_P: $i] :
( ( 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)],[999]) ).
thf(1240,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(1241,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(1242,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(1243,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(1244,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(1245,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(1246,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(1247,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(1248,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(1249,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(1250,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(1251,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(1252,plain,
( ( ! [V_nat_H: $i] :
( ( c_Message_Oagent_OFriend @ V_nat_H )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(copy,[status(thm)],[998]) ).
thf(1253,plain,
( ( ! [V_P: $i,V_x: $i,V_y: $i,V_xs: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ V_P @ V_x ) @ V_y ) )
| ! [V_ys: $i,T_b: $i] :
~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[997]) ).
thf(1254,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(1255,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(1256,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(1257,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(1258,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(1259,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(1260,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_xs: $i] :
( ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ! [V_x: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[996]) ).
thf(1261,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(1262,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ! [V_x: $i] :
~ ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[995]) ).
thf(1263,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)],[994]) ).
thf(1264,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(1265,plain,
( ( ! [V_P: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ! [V_xs: $i,T_a: $i] :
~ ( c_List_Olist__all @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[993]) ).
thf(1266,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(1267,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 ) ) )
| ! [V_us: $i,V_vs: $i] :
( ( 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)],[992]) ).
thf(1268,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)],[991]) ).
thf(1269,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)],[990]) ).
thf(1270,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(1271,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(1272,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(1273,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(1274,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(1275,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(1276,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_x: $i] : ( 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)],[989]) ).
thf(1277,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(1278,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(1279,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(1280,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ! [V_x: $i] :
~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[988]) ).
thf(1281,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(1282,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)],[987]) ).
thf(1283,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(1284,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)],[986]) ).
thf(1285,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(1286,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(1287,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(1288,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)],[985]) ).
thf(1289,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)],[984]) ).
thf(1290,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)],[983]) ).
thf(1291,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)],[982]) ).
thf(1292,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)],[981]) ).
thf(1293,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)],[980]) ).
thf(1294,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( V_xs
= ( c_List_Olist_ONil @ T_a ) )
| ! [V_P: $i,T_b: $i] :
~ ( c_List_Olist__all2 @ V_P @ V_xs @ ( c_List_Olist_ONil @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[979]) ).
thf(1295,plain,
( ( ! [V_ys: $i,T_b: $i] :
( ( V_ys
= ( c_List_Olist_ONil @ T_b ) )
| ! [V_P: $i,T_a: $i] :
~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_ONil @ T_a ) @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[978]) ).
thf(1296,plain,
( ( ! [T_a: $i] : ( c_List_Odistinct @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[666]) ).
thf(1297,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)],[977]) ).
thf(1298,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)],[976]) ).
thf(1299,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)],[975]) ).
thf(1300,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)],[974]) ).
thf(1301,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)],[973]) ).
thf(1302,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)],[972]) ).
thf(1303,plain,
( ( ! [V_A: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olistsp @ V_A @ V_xs @ T_a )
| ! [V_ys: $i] :
~ ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[971]) ).
thf(1304,plain,
( ( ! [V_A: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olistsp @ V_A @ V_ys @ T_a )
| ! [V_xs: $i] :
~ ( c_List_Olistsp @ V_A @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[970]) ).
thf(1305,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)],[969]) ).
thf(1306,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)],[968]) ).
thf(1307,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)],[967]) ).
thf(1308,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_n: $i,V_xs: $i] :
( ( 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)],[966]) ).
thf(1309,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)],[965]) ).
thf(1310,plain,
( ( ! [V_P: $i,V_xs: $i,V_ys: $i,T_a: $i,T_b: $i] :
( ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b )
| ! [V_x: $i,V_y: $i] :
~ ( c_List_Olist__all2 @ V_P @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ ( c_List_Olist_OCons @ V_y @ V_ys @ T_b ) @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[964]) ).
thf(1311,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(1312,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ! [V_ys: $i] :
~ ( c_List_Odistinct @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[963]) ).
thf(1313,plain,
( ( ! [V_ys: $i,T_a: $i] :
( ( c_List_Odistinct @ V_ys @ T_a )
| ! [V_xs: $i] :
~ ( c_List_Odistinct @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[962]) ).
thf(1314,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)],[961]) ).
thf(1315,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)],[960]) ).
thf(1316,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(1317,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(1318,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(1319,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(1320,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(1321,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)],[959]) ).
thf(1322,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)],[958]) ).
thf(1323,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(1324,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(1325,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(1326,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(1327,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__ex @ V_P @ V_xs @ T_a )
| ! [V_x: $i] :
( ( 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)],[957]) ).
thf(1328,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $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 ) ) )
| ! [V_P: $i] :
~ ( c_List_Olist__all2 @ V_P @ V_xs @ V_ys @ T_a @ T_b ) ) )
= $true ),
inference(copy,[status(thm)],[956]) ).
thf(1329,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)],[955]) ).
thf(1330,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(1331,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)],[954]) ).
thf(1332,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(1333,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)],[953]) ).
thf(1334,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $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 ) ) )
| ! [V_m: $i,V_zs: $i] :
( ( 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)],[952]) ).
thf(1335,plain,
( ( ! [V_xs: $i,T_a: $i,V_ys: $i,T_b: $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 ) ) )
| ! [V_m: $i,V_zs: $i] :
( ( 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)],[951]) ).
thf(1336,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)],[950]) ).
thf(1337,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(1338,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)],[949]) ).
thf(1339,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)],[948]) ).
thf(1340,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 )
| ! [V_us: $i,V_vs: $i] :
~ ( 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)],[947]) ).
thf(1341,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 ) ) )
| ! [V_us: $i,V_vs: $i] :
( ( 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)],[946]) ).
thf(1342,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)],[945]) ).
thf(1343,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(1344,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(1345,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(1346,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)],[944]) ).
thf(1347,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(1348,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)],[943]) ).
thf(1349,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(1350,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(1351,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(1352,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)],[942]) ).
thf(1353,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)],[941]) ).
thf(1354,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(1355,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(1356,plain,
( ( ! [V_xs: $i,T_b: $i] :
( ( c_List_Odistinct @ V_xs @ T_b )
| ! [V_f: $i,T_a: $i] :
~ ( c_List_Odistinct @ ( c_List_Omap @ V_f @ V_xs @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[940]) ).
thf(1357,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(1358,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(1359,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( c_List_Odistinct @ V_xs @ T_a )
| ! [V_n: $i] :
~ ( c_List_Odistinct @ ( c_List_Orotate @ V_n @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[939]) ).
thf(1360,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(1361,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(1362,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(1363,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(1364,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(1365,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(1366,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(1367,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(1368,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(1369,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(1370,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(1371,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(1372,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)],[938]) ).
thf(1373,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)],[937]) ).
thf(1374,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)],[936]) ).
thf(1375,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_xs: $i] :
( ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ! [V_ys: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[935]) ).
thf(1376,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_ys: $i] :
( ( c_List_Olinorder__class_Osorted @ V_ys @ T_a )
| ! [V_xs: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[934]) ).
thf(1377,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(1378,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)],[933]) ).
thf(1379,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_l: $i] :
( ( 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)],[932]) ).
thf(1380,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(1381,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(1382,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(1383,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(1384,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)],[931]) ).
thf(1385,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(1386,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(1387,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)],[930]) ).
thf(1388,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)],[929]) ).
thf(1389,plain,
( ( ! [V_P: $i,V_xs: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ V_xs @ T_a )
| ! [V_ys: $i] :
~ ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[928]) ).
thf(1390,plain,
( ( ! [V_P: $i,V_ys: $i,T_a: $i] :
( ( c_List_Olist__all @ V_P @ V_ys @ T_a )
| ! [V_xs: $i] :
~ ( c_List_Olist__all @ V_P @ ( c_List_Oappend @ V_xs @ V_ys @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[927]) ).
thf(1391,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(1392,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(1393,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(1394,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_P: $i,V_xs: $i] :
( ( 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)],[926]) ).
thf(1395,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(1396,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(1397,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(1398,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(1399,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(1400,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(1401,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ! [V_a: $i,V_xs: $i] :
( ( 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)],[925]) ).
thf(1402,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(1403,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)],[924]) ).
thf(1404,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(1405,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(1406,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)],[923]) ).
thf(1407,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)],[922]) ).
thf(1408,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(1409,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(1410,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(1411,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(1412,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(1413,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(1414,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(1415,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)],[921]) ).
thf(1416,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)],[920]) ).
thf(1417,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(1418,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)],[919]) ).
thf(1419,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(1420,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)],[918]) ).
thf(1421,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)],[917]) ).
thf(1422,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(1423,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(1424,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(1425,plain,
( ( ! [T_a: $i] : ( c_List_Onull @ ( c_List_Olist_ONil @ T_a ) @ T_a ) )
= $true ),
inference(copy,[status(thm)],[537]) ).
thf(1426,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)],[916]) ).
thf(1427,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(1428,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)],[915]) ).
thf(1429,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(1430,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(1431,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)],[914]) ).
thf(1432,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(1433,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)],[913]) ).
thf(1434,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)],[912]) ).
thf(1435,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(1436,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(1437,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)],[911]) ).
thf(1438,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(1439,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(1440,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(1441,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(1442,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)],[910]) ).
thf(1443,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)],[909]) ).
thf(1444,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)],[908]) ).
thf(1445,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(1446,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)],[907]) ).
thf(1447,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(1448,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(1449,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)],[906]) ).
thf(1450,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(1451,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(1452,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)],[905]) ).
thf(1453,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(1454,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(1455,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(1456,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)],[904]) ).
thf(1457,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)],[903]) ).
thf(1458,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(1459,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(1460,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(1461,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)],[902]) ).
thf(1462,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(1463,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(1464,plain,
( ( ! [V_nat: $i] :
( ( c_Message_Oagent_OFriend @ V_nat )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(copy,[status(thm)],[901]) ).
thf(1465,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(1466,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(copy,[status(thm)],[900]) ).
thf(1467,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(1468,plain,
( ( ! [V_nat: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[899]) ).
thf(1469,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(copy,[status(thm)],[898]) ).
thf(1470,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(1471,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(1472,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(1473,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(1474,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(1475,plain,
( ( ! [T_a: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ T_a )
| ! [V_xs: $i] :
( ( 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)],[897]) ).
thf(1476,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(1477,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(1478,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(1479,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(1480,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(1481,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(1482,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(1483,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(1484,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(1485,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(1486,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(1487,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(1488,plain,
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(1489,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)],[896]) ).
thf(1490,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)],[895]) ).
thf(1491,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(1492,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(1493,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(1494,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(1495,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)],[894]) ).
thf(1496,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)],[893]) ).
thf(1497,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(1498,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(1499,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(1500,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)],[892]) ).
thf(1501,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(1502,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(1503,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(1504,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(1505,plain,
( ( class_OrderedGroup_Ocomm__monoid__add @ tc_nat )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(1506,plain,
( ( class_Divides_Osemiring__div @ tc_nat )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(1507,plain,
( ( class_Orderings_Opreorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(1508,plain,
( ( class_Orderings_Olinorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(1509,plain,
( ( class_Orderings_Oorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(1510,plain,
( ( class_HOL_Oord @ tc_nat )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(1511,plain,
( ( class_Orderings_Opreorder @ tc_bool )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(1512,plain,
( ( class_Orderings_Oorder @ tc_bool )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(1513,plain,
( ( class_HOL_Oord @ tc_bool )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(1514,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(1515,plain,
( ( ! [V_X: $i,V_Y: $i] :
( ( V_X = V_Y )
| ! [T_a: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ T_a ) @ V_X ) @ V_Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[891]) ).
thf(1516,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[890]) ).
thf(1517,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)],[1073]) ).
thf(1518,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)],[1074]) ).
thf(1519,plain,
! [SV2: $i] :
( ( ! [SY1493: $i,SY1494: $i,SY1495: $i,SY1496: $i] :
( ( c_Event_Oevent_OGets @ SV2 @ SY1493 )
!= ( c_Event_Oevent_OSays @ SY1494 @ SY1495 @ SY1496 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1520,plain,
! [SV3: $i] :
( ( ! [SY1497: $i,SY1498: $i,SY1499: $i,SY1500: $i] :
( ( c_Event_Oevent_OSays @ SV3 @ SY1497 @ SY1498 )
!= ( c_Event_Oevent_OGets @ SY1499 @ SY1500 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1521,plain,
! [SV4: $i] :
( ( ! [SY1501: $i,SY1502: $i,SY1503: $i] :
( ( c_Event_Oknows @ SV4 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV4 @ SY1501 @ SY1502 ) @ SY1503 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY1502 @ ( c_Event_Oknows @ SV4 @ SY1503 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1077]) ).
thf(1522,plain,
! [SV5: $i] :
( ( ! [SY1504: $i,SY1505: $i,SY1506: $i,SY1507: $i,SY1508: $i] :
( ( ( c_Event_Oevent_OSays @ SV5 @ SY1504 @ SY1505 )
!= ( c_Event_Oevent_OSays @ SY1506 @ SY1507 @ SY1508 ) )
| ( SY1505 = SY1508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1523,plain,
! [SV6: $i] :
( ( ! [SY1509: $i,SY1510: $i,SY1511: $i,SY1512: $i] :
( ! [SY1513: $i] :
( ( c_Event_Oevent_OSays @ SV6 @ SY1509 @ SY1510 )
!= ( c_Event_Oevent_OSays @ SY1511 @ SY1512 @ SY1513 ) )
| ( SY1509 = SY1512 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1524,plain,
! [SV7: $i] :
( ( ! [SY1514: $i,SY1515: $i,SY1516: $i] :
( ! [SY1517: $i,SY1518: $i] :
( ( c_Event_Oevent_OSays @ SV7 @ SY1514 @ SY1515 )
!= ( c_Event_Oevent_OSays @ SY1516 @ SY1517 @ SY1518 ) )
| ( SV7 = SY1516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1525,plain,
! [SV8: $i] :
( ( ! [SY1519: $i,SY1520: $i,SY1521: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV8 @ SY1519 @ SY1520 ) @ SY1521 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY1520 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1521 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1081]) ).
thf(1526,plain,
! [SV9: $i] :
( ( ! [SY1522: $i,SY1523: $i,SY1524: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV9 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY1522 @ SY1523 @ SY1524 ) @ SV9 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1082]) ).
thf(1527,plain,
! [SV10: $i] :
( ( ! [SY1525: $i,SY1526: $i] :
( ( ( c_List_Odrop @ SV10 @ SY1525 @ SY1526 )
!= ( c_List_Olist_ONil @ SY1526 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SY1525 @ ( tc_List_Olist @ SY1526 ) ) @ SV10 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1528,plain,
! [SV11: $i] :
( ( ! [SY1527: $i,SY1528: $i] :
( ( ( c_List_Odrop @ SV11 @ SY1527 @ SY1528 )
= ( c_List_Olist_ONil @ SY1528 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SY1527 @ ( tc_List_Olist @ SY1528 ) ) @ SV11 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1529,plain,
! [SV12: $i] :
( ( ! [SY1529: $i,SY1530: $i,SY1531: $i] :
( ! [SY1532: $i] :
( ( c_List_Oappend @ SV12 @ SY1529 @ SY1530 )
!= ( c_List_Oappend @ SY1531 @ SY1532 @ SY1530 ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SY1531 @ ( tc_List_Olist @ SY1530 ) ) @ SV12 @ SY1530 )
= SY1531 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV12 @ ( tc_List_Olist @ SY1530 ) ) @ ( c_Nat_Osize__class_Osize @ SY1531 @ ( tc_List_Olist @ SY1530 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1085]) ).
thf(1530,plain,
! [SV13: $i] :
( ( ! [SY1533: $i,SY1534: $i,SY1535: $i] :
( ( c_List_Otake @ SV13 @ ( c_List_Oappend @ SY1533 @ SY1534 @ SY1535 ) @ SY1535 )
= ( c_List_Oappend @ ( c_List_Otake @ SV13 @ SY1533 @ SY1535 ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV13 @ ( c_Nat_Osize__class_Osize @ SY1533 @ ( tc_List_Olist @ SY1535 ) ) @ tc_nat ) @ SY1534 @ SY1535 ) @ SY1535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1531,plain,
! [SV14: $i] :
( ( ! [SY1536: $i,SY1537: $i,SY1538: $i] :
( ! [SY1539: $i] :
( ( c_List_Oappend @ SV14 @ SY1536 @ SY1537 )
!= ( c_List_Oappend @ SY1538 @ SY1539 @ SY1537 ) )
| ( SV14
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SY1537 ) ) @ SY1538 @ SY1537 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SY1537 ) ) @ ( c_Nat_Osize__class_Osize @ SY1538 @ ( tc_List_Olist @ SY1537 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1532,plain,
! [SV15: $i] :
( ( ! [SY1540: $i,SY1541: $i,SY1542: $i,SY1543: $i] :
( ( ( c_List_Oappend @ SV15 @ SY1540 @ SY1541 )
!= ( c_List_Oappend @ SY1542 @ SY1543 @ SY1541 ) )
| ( SY1540
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SY1541 ) ) @ SY1542 @ SY1541 ) @ SY1543 @ SY1541 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SY1541 ) ) @ ( c_Nat_Osize__class_Osize @ SY1542 @ ( tc_List_Olist @ SY1541 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1533,plain,
! [SV16: $i] :
( ( ! [SY1544: $i,SY1545: $i,SY1546: $i,SY1547: $i] :
( ( ( c_List_Oappend @ SV16 @ SY1544 @ SY1545 )
!= ( c_List_Oappend @ SY1546 @ SY1547 @ SY1545 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY1546 @ ( tc_List_Olist @ SY1545 ) ) @ SV16 @ SY1545 ) @ SY1544 @ SY1545 )
= SY1547 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV16 @ ( tc_List_Olist @ SY1545 ) ) @ ( c_Nat_Osize__class_Osize @ SY1546 @ ( tc_List_Olist @ SY1545 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1089]) ).
thf(1534,plain,
! [SV17: $i] :
( ( ! [SY1548: $i,SY1549: $i,SY1550: $i] :
( ( c_List_Odrop @ SV17 @ ( c_List_Oappend @ SY1548 @ SY1549 @ SY1550 ) @ SY1550 )
= ( c_List_Oappend @ ( c_List_Odrop @ SV17 @ SY1548 @ SY1550 ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ SV17 @ ( c_Nat_Osize__class_Osize @ SY1548 @ ( tc_List_Olist @ SY1550 ) ) @ tc_nat ) @ SY1549 @ SY1550 ) @ SY1550 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1535,plain,
! [SV18: $i] :
( ( ! [SY1551: $i,SY1552: $i,SY1553: $i,SY1554: $i] :
( ( hBOOL @ ( hAPP @ SV18 @ ( c_Message_Oagent_Oagent__case @ SY1551 @ SY1552 @ SY1553 @ SY1554 @ t_a ) ) )
| ( SY1554 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV18 @ ( hAPP @ SY1552 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV18 @ SY1552 @ SY1554 ) ) ) )
| ( SY1554 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1536,plain,
! [SV19: $i] :
( ( ! [SY1555: $i,SY1556: $i,SY1557: $i,SY1558: $i,SY1559: $i] :
( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1555 @ SV19 @ SY1556 @ SY1557 ) )
!= ( hAPP @ SY1556 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1555 @ SV19 @ SY1556 @ SY1557 ) ) )
| ( SY1555 = c_Message_Oagent_OServer )
| ! [SY1560: $i,SY1561: $i] :
( ( c_Message_Oagent_Oagent__case @ SY1558 @ SV19 @ SY1559 @ SY1555 @ SY1557 )
= ( c_Message_Oagent_Oagent__case @ SY1560 @ SY1556 @ SY1561 @ SY1555 @ SY1557 ) )
| ( SY1555 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1092]) ).
thf(1537,plain,
! [SV20: $i] :
( ( ! [SY1562: $i,SY1563: $i,SY1564: $i,SY1565: $i] :
( ( hBOOL @ ( hAPP @ SV20 @ ( c_Message_Oagent_Oagent__case @ SY1562 @ SY1563 @ SY1564 @ SY1565 @ t_a ) ) )
| ( SY1565 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SY1563 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV20 @ SY1563 @ SY1565 ) ) ) )
| ( SY1565 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1538,plain,
! [SV21: $i] :
( ( ! [SY1566: $i,SY1567: $i,SY1568: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV21 @ SY1566 ) @ ( c_Event_Oknows @ SV21 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY1567 @ SY1568 ) @ SY1566 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1539,plain,
! [SV22: $i] :
( ( ! [SY1569: $i,SY1570: $i,SY1571: $i,SY1572: $i] :
( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SY1569 @ SY1570 @ SY1571 @ SY1572 @ t_a ) ) )
| ( SY1572 = c_Message_Oagent_OSpy )
| ( SY1572
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV22 @ SY1570 @ SY1572 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SY1569 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1540,plain,
! [SV23: $i] :
( ( ! [SY1573: $i,SY1574: $i,SY1575: $i,SY1576: $i,SY1577: $i] :
( ! [SY1578: $i] :
( ( c_Message_Oagent_Oagent__case @ SV23 @ SY1573 @ SY1574 @ SY1575 @ SY1576 )
= ( c_Message_Oagent_Oagent__case @ SV23 @ SY1577 @ SY1578 @ SY1575 @ SY1576 ) )
| ( SY1575 = c_Message_Oagent_OSpy )
| ( SY1575
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1575 @ SY1573 @ SY1577 @ SY1576 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1541,plain,
! [SV24: $i] :
( ( ! [SY1579: $i,SY1580: $i,SY1581: $i,SY1582: $i] :
( ( hBOOL @ ( hAPP @ SV24 @ ( c_Message_Oagent_Oagent__case @ SY1579 @ SY1580 @ SY1581 @ SY1582 @ t_a ) ) )
| ( SY1582 = c_Message_Oagent_OSpy )
| ( SY1582
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV24 @ SY1580 @ SY1582 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ SY1579 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1542,plain,
! [SV25: $i] :
( ( ! [SY1583: $i,SY1584: $i,SY1585: $i,SY1586: $i] :
( ( hBOOL @ ( hAPP @ SV25 @ ( c_Message_Oagent_Oagent__case @ SY1583 @ SY1584 @ SY1585 @ SY1586 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV25 @ SY1585 ) )
| ( SY1586
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV25 @ SY1584 @ SY1586 ) ) )
| ( SY1586 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1543,plain,
! [SV26: $i] :
( ( ! [SY1587: $i,SY1588: $i,SY1589: $i,SY1590: $i] :
( ( SV26
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV26 @ SY1587 @ SY1588 @ SY1589 ) ) )
| ( SV26 = c_Message_Oagent_OServer )
| ! [SY1591: $i,SY1592: $i] :
( ( c_Message_Oagent_Oagent__case @ SY1590 @ SY1587 @ SY1591 @ SV26 @ SY1589 )
= ( c_Message_Oagent_Oagent__case @ SY1592 @ SY1588 @ SY1591 @ SV26 @ SY1589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1099]) ).
thf(1544,plain,
! [SV27: $i] :
( ( ! [SY1593: $i,SY1594: $i,SY1595: $i,SY1596: $i] :
( ( hBOOL @ ( hAPP @ SV27 @ ( c_Message_Oagent_Oagent__case @ SY1593 @ SY1594 @ SY1595 @ SY1596 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV27 @ SY1595 ) )
| ( SY1596
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV27 @ SY1594 @ SY1596 ) ) )
| ( SY1596 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1100]) ).
thf(1545,plain,
! [SV28: $i] :
( ( ! [SY1597: $i,SY1598: $i,SY1599: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV28 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY1597 @ SY1598 @ SY1599 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY1599 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV28 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1101]) ).
thf(1546,plain,
! [SV29: $i] :
( ( ! [SY1600: $i,SY1601: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ SV29 @ ( c_List_Olist_OCons @ SY1600 @ ( c_List_Olist_ONil @ SY1601 ) @ SY1601 ) @ SY1601 ) @ SY1601 )
= SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1102]) ).
thf(1547,plain,
! [SV30: $i] :
( ( ( c_List_Otl @ ( c_List_Olist_ONil @ SV30 ) @ SV30 )
= ( c_List_Olist_ONil @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1548,plain,
! [SV31: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_ONil @ SV31 ) @ SV31 )
= ( c_List_Olist_ONil @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1549,plain,
! [SV32: $i] :
( ( ! [SY1602: $i,SY1603: $i] :
( ~ ( class_HOL_Oord @ SV32 )
| ! [SY1604: $i] :
( ( c_lessequals @ ( hAPP @ SY1602 @ SY1603 ) @ ( hAPP @ SY1604 @ SY1603 ) @ SV32 )
| ! [SY1605: $i] :
~ ( c_lessequals @ SY1602 @ SY1604 @ ( tc_fun @ SY1605 @ SV32 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1550,plain,
! [SV33: $i] :
( ( ! [SY1606: $i,SY1607: $i,SY1608: $i] :
( ( ( hAPP @ SV33 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1606 @ SV33 @ SY1607 @ SY1608 ) )
!= ( hAPP @ SY1607 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1606 @ SV33 @ SY1607 @ SY1608 ) ) )
| ! [SY1609: $i,SY1610: $i] :
( ( c_Message_Oagent_Oagent__case @ SY1609 @ SV33 @ SY1610 @ SY1606 @ SY1608 )
= ( c_Message_Oagent_Oagent__case @ SY1609 @ SY1607 @ SY1610 @ SY1606 @ SY1608 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1551,plain,
! [SV34: $i] :
( ( ! [SY1611: $i,SY1612: $i,SY1613: $i,SY1614: $i] :
( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SY1611 @ SY1612 @ SY1613 @ SY1614 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SY1613 ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SY1612 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SY1612 @ SY1614 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SY1611 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1107]) ).
thf(1552,plain,
! [SV35: $i] :
( ( ! [SY1615: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV35 @ ( c_HOL_Ominus__class_Ominus @ SV35 @ SY1615 @ tc_nat ) @ tc_nat )
= SY1615 )
| ~ ( c_lessequals @ SY1615 @ SV35 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1553,plain,
! [SV36: $i] :
( ( ! [SY1616: $i,SY1617: $i] :
( ( c_List_Obutlast @ ( c_List_Odrop @ SV36 @ SY1616 @ SY1617 ) @ SY1617 )
= ( c_List_Odrop @ SV36 @ ( c_List_Obutlast @ SY1616 @ SY1617 ) @ SY1617 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1554,plain,
! [SV37: $i] :
( ( ! [SY1618: $i] :
( ~ ( class_Divides_Oring__div @ SV37 )
| ! [SY1619: $i,SY1620: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY1618 @ SY1619 @ SV37 ) @ SY1620 @ SV37 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SY1618 @ SY1620 @ SV37 ) @ ( c_Divides_Odiv__class_Omod @ SY1619 @ SY1620 @ SV37 ) @ SV37 ) @ SY1620 @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1110]) ).
thf(1555,plain,
! [SV38: $i] :
( ( ! [SY1621: $i] : ( c_lessequals @ ( c_Divides_Odiv__class_Omod @ SV38 @ SY1621 @ tc_nat ) @ SV38 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1111]) ).
thf(1556,plain,
! [SV39: $i] :
( ( ! [SY1622: $i,SY1623: $i,SY1624: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV39 @ SY1622 @ SY1623 ) @ SY1624 ) )
| ~ ( hBOOL @ ( hAPP @ SY1622 @ SY1624 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1557,plain,
! [SV40: $i] :
( ( ! [SY1625: $i,SY1626: $i] :
( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV40 @ SY1625 @ tc_nat ) @ SY1626 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV40 @ SY1626 @ tc_nat ) @ SY1625 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1558,plain,
! [SV41: $i] :
( ( ! [SY1627: $i,SY1628: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV41 @ SY1627 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY1628 @ SY1627 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV41 @ SY1628 @ tc_nat ) )
| ~ ( c_lessequals @ SY1627 @ SY1628 @ tc_nat )
| ~ ( c_lessequals @ SY1627 @ SV41 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1559,plain,
! [SV42: $i] :
( ( ! [SY1629: $i] : ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV42 @ SY1629 @ tc_nat ) @ SV42 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1115]) ).
thf(1560,plain,
! [SV43: $i] :
( ( ! [SY1630: $i,SY1631: $i] :
( ( c_List_Otl @ ( c_List_Odrop @ SV43 @ SY1630 @ SY1631 ) @ SY1631 )
= ( c_List_Odrop @ SV43 @ ( c_List_Otl @ SY1630 @ SY1631 ) @ SY1631 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1116]) ).
thf(1561,plain,
! [SV44: $i] :
( ( ! [SY1632: $i,SY1633: $i] :
( ( c_List_Odrop @ SV44 @ ( c_List_Obutlast @ SY1632 @ SY1633 ) @ SY1633 )
= ( c_List_Obutlast @ ( c_List_Odrop @ SV44 @ SY1632 @ SY1633 ) @ SY1633 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1117]) ).
thf(1562,plain,
! [SV45: $i] :
( ( ! [SY1634: $i,SY1635: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV45 @ SY1634 @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ SY1635 @ SY1634 @ tc_nat ) )
| ~ ( c_lessequals @ SY1634 @ SY1635 @ tc_nat )
| ~ ( c_lessequals @ SY1634 @ SV45 @ tc_nat )
| ( SV45 = SY1635 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1118]) ).
thf(1563,plain,
! [SV46: $i] :
( ( ! [SY1636: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ SV46 )
| ! [SY1637: $i,SY1638: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SY1636 @ SY1636 @ SV46 )
!= ( c_HOL_Ominus__class_Ominus @ SY1637 @ SY1638 @ SV46 ) )
| ( SY1637 = SY1638 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1119]) ).
thf(1564,plain,
! [SV47: $i] :
( ( ! [SY1639: $i] :
( ~ ( class_OrderedGroup_Oab__group__add @ SV47 )
| ! [SY1640: $i] :
( ! [SY1641: $i] :
( ( c_HOL_Ominus__class_Ominus @ SY1639 @ SY1640 @ SV47 )
!= ( c_HOL_Ominus__class_Ominus @ SY1641 @ SY1641 @ SV47 ) )
| ( SY1639 = SY1640 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1565,plain,
! [SV48: $i] :
( ( ! [SY1642: $i] :
( ( c_lessequals @ SV48 @ SY1642 @ tc_nat )
| ! [SY1643: $i] :
( ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SY1643 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY1642 @ SY1643 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SY1643 @ SY1642 @ tc_nat )
| ~ ( c_lessequals @ SY1643 @ SV48 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1566,plain,
! [SV49: $i] :
( ( ! [SY1644: $i,SY1645: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV49 @ SY1644 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY1645 @ SY1644 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV49 @ SY1645 @ tc_nat )
| ~ ( c_lessequals @ SY1644 @ SY1645 @ tc_nat )
| ~ ( c_lessequals @ SY1644 @ SV49 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1567,plain,
! [SV50: $i] :
( ( ! [SY1646: $i,SY1647: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV50 @ SY1646 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY1647 @ SY1646 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV50 @ SY1647 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1568,plain,
! [SV51: $i] :
( ( ! [SY1648: $i,SY1649: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV51 @ SY1648 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV51 @ SY1649 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SY1649 @ SY1648 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1569,plain,
! [SV52: $i] :
( ( ! [SY1650: $i,SY1651: $i,SY1652: $i] :
( ( c_Set_Oinsert @ SV52 @ ( c_Set_Oinsert @ SY1650 @ SY1651 @ SY1652 ) @ SY1652 )
= ( c_Set_Oinsert @ SY1650 @ ( c_Set_Oinsert @ SV52 @ SY1651 @ SY1652 ) @ SY1652 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1570,plain,
! [SV53: $i] :
( ( ! [SY1653: $i] :
( ~ ( class_Divides_Oring__div @ SV53 )
| ! [SY1654: $i,SY1655: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY1653 @ SY1654 @ SV53 ) @ SY1655 @ SV53 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY1653 @ ( c_Divides_Odiv__class_Omod @ SY1654 @ SY1655 @ SV53 ) @ SV53 ) @ SY1655 @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1571,plain,
! [SV54: $i] :
( ( ! [SY1656: $i] :
( ~ ( class_Divides_Oring__div @ SV54 )
| ! [SY1657: $i,SY1658: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY1656 @ SY1657 @ SV54 ) @ SY1658 @ SV54 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SY1656 @ SY1658 @ SV54 ) @ SY1657 @ SV54 ) @ SY1658 @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1127]) ).
thf(1572,plain,
! [SV55: $i] :
( ( ! [SY1659: $i,SY1660: $i,SY1661: $i] :
( ( c_Fun_Oinj__on @ SV55 @ SY1659 @ SY1660 @ SY1661 )
| ! [SY1662: $i] :
~ ( c_Fun_Oinj__on @ SV55 @ ( c_Set_Oinsert @ SY1662 @ SY1659 @ SY1660 ) @ SY1660 @ SY1661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1573,plain,
! [SV56: $i] :
( ( ! [SY1663: $i,SY1664: $i] :
( ( c_List_Odrop @ SV56 @ ( c_List_Otl @ SY1663 @ SY1664 ) @ SY1664 )
= ( c_List_Otl @ ( c_List_Odrop @ SV56 @ SY1663 @ SY1664 ) @ SY1664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1129]) ).
thf(1574,plain,
! [SV57: $i] :
( ( ! [SY1665: $i,SY1666: $i] :
( ( c_lessequals @ SV57 @ SY1665 @ ( tc_fun @ SY1666 @ tc_bool ) )
| ! [SY1667: $i] :
~ ( c_lessequals @ ( c_Set_Oinsert @ SY1667 @ SV57 @ SY1666 ) @ SY1665 @ ( tc_fun @ SY1666 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1130]) ).
thf(1575,plain,
! [SV58: $i] :
( ( ! [SY1668: $i,SY1669: $i,SY1670: $i] :
( ( c_lessequals @ SV58 @ ( c_Set_Oinsert @ SY1668 @ SY1669 @ SY1670 ) @ ( tc_fun @ SY1670 @ tc_bool ) )
| ~ ( c_lessequals @ SV58 @ SY1669 @ ( tc_fun @ SY1670 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1576,plain,
! [SV59: $i] :
( ( ~ ( class_Divides_Osemiring__div @ SV59 )
| ! [SY1671: $i,SY1672: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ SY1671 @ SY1672 @ SV59 ) @ SY1672 @ SV59 )
= ( c_Divides_Odiv__class_Omod @ SY1671 @ SY1672 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1132]) ).
thf(1577,plain,
! [SV60: $i] :
( ( ! [SY1673: $i,SY1674: $i] :
( ( c_Set_Oinsert @ SV60 @ ( c_Set_Oinsert @ SV60 @ SY1673 @ SY1674 ) @ SY1674 )
= ( c_Set_Oinsert @ SV60 @ SY1673 @ SY1674 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1578,plain,
! [SV61: $i] :
( ( ! [SY1675: $i] :
( ( hBOOL @ ( hAPP @ SV61 @ SY1675 ) )
| ! [SY1676: $i] :
( ( SY1676 = SY1675 )
| ! [SY1677: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY1676 @ SV61 @ SY1677 ) @ SY1675 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1579,plain,
! [SV62: $i] :
( ( ! [SY1678: $i,SY1679: $i] : ( c_lessequals @ SV62 @ ( c_Set_Oinsert @ SY1678 @ SV62 @ SY1679 ) @ ( tc_fun @ SY1679 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1135]) ).
thf(1580,plain,
! [SV63: $i] :
( ( ! [SY1680: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SV63 @ SY1680 @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV63 @ SY1680 @ tc_nat ) @ SY1680 @ tc_nat ) )
| ~ ( c_lessequals @ SY1680 @ SV63 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1581,plain,
! [SV64: $i] :
( ( ! [SY1681: $i,SY1682: $i] :
( ( c_List_Otl @ ( c_List_Olist_OCons @ SV64 @ SY1681 @ SY1682 ) @ SY1682 )
= SY1681 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1137]) ).
thf(1582,plain,
! [SV65: $i] :
( ( ! [SY1683: $i] :
( ( SV65 = SY1683 )
| ! [SY1684: $i] :
( ~ ( c_lessequals @ SY1683 @ SV65 @ ( tc_fun @ SY1684 @ tc_bool ) )
| ~ ( c_lessequals @ SV65 @ SY1683 @ ( tc_fun @ SY1684 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1583,plain,
! [SV66: $i] :
( ( ! [SY1685: $i] :
( ( SV66 = SY1685 )
| ~ ( c_lessequals @ SY1685 @ SV66 @ tc_nat )
| ~ ( c_lessequals @ SV66 @ SY1685 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1584,plain,
! [SV67: $i] :
( ( ! [SY1686: $i] :
( ( SV67 = SY1686 )
| ! [SY1687: $i] :
( ~ ( c_lessequals @ SY1686 @ SV67 @ ( tc_fun @ SY1687 @ tc_bool ) )
| ~ ( c_lessequals @ SV67 @ SY1686 @ ( tc_fun @ SY1687 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1585,plain,
! [SV68: $i] :
( ( ~ ( class_Orderings_Oorder @ SV68 )
| ! [SY1688: $i,SY1689: $i] :
( ( SY1688 = SY1689 )
| ~ ( c_lessequals @ SY1689 @ SY1688 @ SV68 )
| ~ ( c_lessequals @ SY1688 @ SY1689 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1586,plain,
! [SV69: $i] :
( ( ~ ( class_Orderings_Oorder @ SV69 )
| ! [SY1690: $i,SY1691: $i] :
( ( SY1690 = SY1691 )
| ~ ( c_lessequals @ SY1691 @ SY1690 @ SV69 )
| ~ ( c_lessequals @ SY1690 @ SY1691 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1587,plain,
! [SV70: $i] :
( ( ~ ( class_Orderings_Oorder @ SV70 )
| ! [SY1692: $i,SY1693: $i] :
( ( SY1692 = SY1693 )
| ~ ( c_lessequals @ SY1692 @ SY1693 @ SV70 )
| ~ ( c_lessequals @ SY1693 @ SY1692 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1588,plain,
! [SV71: $i] :
( ( ! [SY1694: $i,SY1695: $i,SY1696: $i] :
( ~ ( class_Divides_Oring__div @ SV71 )
| ( ( c_Divides_Odiv__class_Omod @ SY1694 @ SY1695 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY1696 @ SY1695 @ SV71 ) )
| ! [SY1697: $i,SY1698: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SY1697 @ SY1695 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY1698 @ SY1695 @ SV71 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY1697 @ SY1694 @ SV71 ) @ SY1695 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY1698 @ SY1696 @ SV71 ) @ SY1695 @ SV71 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1589,plain,
! [SV72: $i] :
( ( ! [SY1699: $i,SY1700: $i,SY1701: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV72 @ SY1699 @ SY1700 @ SY1701 ) @ SY1701 ) @ ( c_Set_Oinsert @ SY1700 @ ( c_List_Oset @ SV72 @ SY1701 ) @ SY1701 ) @ ( tc_fun @ SY1701 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1590,plain,
! [SV73: $i] :
( ( ! [SY1702: $i,SY1703: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV73 @ SY1702 @ SY1703 ) @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1591,plain,
! [SV74: $i] :
( ( ! [SY1704: $i] :
( ~ ( class_Orderings_Oorder @ SV74 )
| ! [SY1705: $i] :
( ( c_lessequals @ SY1704 @ SY1705 @ SV74 )
| ! [SY1706: $i] :
( ~ ( c_lessequals @ SY1704 @ SY1706 @ SV74 )
| ~ ( c_lessequals @ SY1706 @ SY1705 @ SV74 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1592,plain,
! [SV75: $i] :
( ( ! [SY1707: $i] :
( ~ ( class_Orderings_Opreorder @ SV75 )
| ! [SY1708: $i] :
( ( c_lessequals @ SY1707 @ SY1708 @ SV75 )
| ! [SY1709: $i] :
( ~ ( c_lessequals @ SY1709 @ SY1708 @ SV75 )
| ~ ( c_lessequals @ SY1707 @ SY1709 @ SV75 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1593,plain,
! [SV76: $i] :
( ( c_lessequals @ SV76 @ SV76 @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1594,plain,
! [SV77: $i] :
( ( ! [SY1710: $i] :
( ( c_lessequals @ SV77 @ SY1710 @ tc_nat )
| ! [SY1711: $i] :
( ~ ( c_lessequals @ SY1711 @ SY1710 @ tc_nat )
| ~ ( c_lessequals @ SV77 @ SY1711 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1595,plain,
! [SV78: $i] :
( ( c_lessequals @ SV78 @ SV78 @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1596,plain,
! [SV79: $i] :
( ( ! [SY1712: $i] : ( c_lessequals @ SV79 @ SV79 @ ( tc_fun @ SY1712 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1152]) ).
thf(1597,plain,
! [SV80: $i] :
( ( ! [SY1713: $i] : ( c_lessequals @ SV80 @ SV80 @ ( tc_fun @ SY1713 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1153]) ).
thf(1598,plain,
! [SV81: $i] :
( ( ! [SY1714: $i,SY1715: $i] :
( ( c_lessequals @ SV81 @ SY1714 @ ( tc_fun @ SY1715 @ tc_bool ) )
| ! [SY1716: $i] :
( ~ ( c_lessequals @ SY1716 @ SY1714 @ ( tc_fun @ SY1715 @ tc_bool ) )
| ~ ( c_lessequals @ SV81 @ SY1716 @ ( tc_fun @ SY1715 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1154]) ).
thf(1599,plain,
! [SV82: $i] :
( ( ! [SY1717: $i,SY1718: $i,SY1719: $i] :
( ( c_Fun_Oinj__on @ SV82 @ SY1717 @ SY1718 @ SY1719 )
| ! [SY1720: $i] :
( ~ ( c_lessequals @ SY1717 @ SY1720 @ ( tc_fun @ SY1718 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV82 @ SY1720 @ SY1718 @ SY1719 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1600,plain,
! [SV83: $i] :
( ( ! [SY1721: $i] :
( ( hBOOL @ ( hAPP @ SV83 @ SY1721 ) )
| ! [SY1722: $i] :
( ~ ( hBOOL @ ( hAPP @ SY1722 @ SY1721 ) )
| ! [SY1723: $i] :
~ ( c_lessequals @ SY1722 @ SV83 @ ( tc_fun @ SY1723 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1156]) ).
thf(1601,plain,
! [SV84: $i] :
( ( ~ ( class_Orderings_Oorder @ SV84 )
| ! [SY1724: $i] : ( c_lessequals @ SY1724 @ SY1724 @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1602,plain,
! [SV85: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV85 )
| ! [SY1725: $i] : ( c_lessequals @ SY1725 @ SY1725 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1603,plain,
! [SV86: $i] :
( ( ! [SY1726: $i] :
( ( hBOOL @ ( hAPP @ SV86 @ SY1726 ) )
| ! [SY1727: $i] :
( ! [SY1728: $i] :
~ ( c_lessequals @ SY1727 @ SV86 @ ( tc_fun @ SY1728 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY1727 @ SY1726 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1159]) ).
thf(1604,plain,
! [SV87: $i] :
( ( ! [SY1729: $i,SY1730: $i,SY1731: $i,SY1732: $i] :
( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SY1729 @ SY1730 @ SY1731 @ SY1732 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SY1731 ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SY1730 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SY1730 @ SY1732 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SY1729 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1605,plain,
! [SV88: $i] :
( ( ! [SY1733: $i,SY1734: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV88 )
| ! [SY1735: $i,SY1736: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SY1733 @ SY1734 @ SV88 )
!= ( c_HOL_Ominus__class_Ominus @ SY1735 @ SY1736 @ SV88 ) )
| ( c_lessequals @ SY1736 @ SY1735 @ SV88 )
| ~ ( c_lessequals @ SY1734 @ SY1733 @ SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1161]) ).
thf(1606,plain,
! [SV89: $i] :
( ( ! [SY1737: $i,SY1738: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV89 )
| ! [SY1739: $i,SY1740: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SY1737 @ SY1738 @ SV89 )
!= ( c_HOL_Ominus__class_Ominus @ SY1739 @ SY1740 @ SV89 ) )
| ( c_lessequals @ SY1738 @ SY1737 @ SV89 )
| ~ ( c_lessequals @ SY1740 @ SY1739 @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1162]) ).
thf(1607,plain,
! [SV90: $i] :
( ( ! [SY1741: $i,SY1742: $i,SY1743: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV90 @ SY1741 @ SY1742 ) @ ( c_Set_Oinsert @ SV90 @ SY1743 @ SY1742 ) @ ( tc_fun @ SY1742 @ tc_bool ) )
| ~ ( c_lessequals @ SY1741 @ SY1743 @ ( tc_fun @ SY1742 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1608,plain,
! [SV91: $i] :
( ( ! [SY1744: $i] :
( ( c_lessequals @ SV91 @ SY1744 @ tc_nat )
| ( c_lessequals @ SY1744 @ SV91 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1609,plain,
! [SV92: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV92 )
| ! [SY1745: $i,SY1746: $i] :
( ( c_lessequals @ SY1745 @ SY1746 @ SV92 )
| ( c_lessequals @ SY1746 @ SY1745 @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1165]) ).
thf(1610,plain,
! [SV93: $i] :
( ( ! [SY1747: $i,SY1748: $i] :
( ( c_List_Orotate @ SV93 @ ( hAPP @ ( c_List_Orev @ SY1747 ) @ SY1748 ) @ SY1747 )
= ( hAPP @ ( c_List_Orev @ SY1747 ) @ ( c_List_Orotate @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY1748 @ ( tc_List_Olist @ SY1747 ) ) @ ( c_Divides_Odiv__class_Omod @ SV93 @ ( c_Nat_Osize__class_Osize @ SY1748 @ ( tc_List_Olist @ SY1747 ) ) @ tc_nat ) @ tc_nat ) @ SY1748 @ SY1747 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1166]) ).
thf(1611,plain,
! [SV94: $i] :
( ( ! [SY1749: $i] :
( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV94 @ ( c_List_Olist_ONil @ SY1749 ) @ SY1749 ) @ SY1749 )
= ( c_List_Olist_ONil @ SY1749 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1612,plain,
! [SV95: $i] :
( ( ! [SY1750: $i,SY1751: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV95 @ SY1750 @ SY1751 ) @ SY1751 )
= ( c_List_Olist_OCons @ SV95 @ ( c_List_Obutlast @ SY1750 @ SY1751 ) @ SY1751 ) )
| ( SY1750
= ( c_List_Olist_ONil @ SY1751 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1613,plain,
! [SV96: $i] :
( ( ! [SY1752: $i,SY1753: $i] : ( c_lessequals @ ( c_List_Oset @ SV96 @ SY1752 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY1753 @ SV96 @ SY1752 ) @ SY1752 ) @ ( tc_fun @ SY1752 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1614,plain,
! [SV97: $i] :
( ( ! [SY1754: $i,SY1755: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ SV97 @ SY1754 @ SY1755 ) @ SY1755 )
= ( c_Set_Oinsert @ SV97 @ ( c_List_Oset @ SY1754 @ SY1755 ) @ SY1755 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1615,plain,
! [SV98: $i] :
( ( ! [SY1756: $i,SY1757: $i] :
~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ SV98 @ SY1756 @ SY1757 ) @ ( tc_List_Olist @ SY1757 ) ) @ ( c_Nat_Osize__class_Osize @ SY1756 @ ( tc_List_Olist @ SY1757 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1616,plain,
! [SV99: $i] :
( ( ! [SY1758: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ SV99 @ ( c_List_Olist_ONil @ SY1758 ) @ SY1758 ) @ SY1758 )
= ( c_List_Obutlast @ SV99 @ SY1758 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1617,plain,
! [SV100: $i] :
( ( ! [SY1759: $i,SY1760: $i] :
( ( ( c_List_Otl @ ( c_List_Oappend @ SV100 @ SY1759 @ SY1760 ) @ SY1760 )
= ( c_List_Oappend @ ( c_List_Otl @ SV100 @ SY1760 ) @ SY1759 @ SY1760 ) )
| ( SV100
= ( c_List_Olist_ONil @ SY1760 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1618,plain,
! [SV101: $i] :
( ( ! [SY1761: $i,SY1762: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV101 @ SY1761 @ SY1762 ) @ SY1762 )
= ( c_List_Oappend @ SV101 @ ( c_List_Obutlast @ SY1761 @ SY1762 ) @ SY1762 ) )
| ( SY1761
= ( c_List_Olist_ONil @ SY1762 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1619,plain,
! [SV102: $i] :
( ( ! [SY1763: $i,SY1764: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Otake @ SV102 @ SY1763 @ SY1764 ) @ SY1764 ) @ ( c_List_Oset @ SY1763 @ SY1764 ) @ ( tc_fun @ SY1764 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1620,plain,
! [SV103: $i] :
( ( ! [SY1765: $i,SY1766: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ SV103 @ SY1765 @ SY1766 ) @ SY1766 ) @ ( c_List_Oset @ SY1765 @ SY1766 ) @ ( tc_fun @ SY1766 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1621,plain,
! [SV104: $i] :
( ( ! [SY1767: $i,SY1768: $i] :
( ( ( c_List_Otake @ SV104 @ SY1767 @ SY1768 )
= SY1767 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SY1767 @ ( tc_List_Olist @ SY1768 ) ) @ SV104 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1622,plain,
! [SV105: $i] :
( ( ! [SY1769: $i,SY1770: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Ofilter @ SV105 @ SY1769 @ SY1770 ) @ ( tc_List_Olist @ SY1770 ) ) @ ( c_Nat_Osize__class_Osize @ SY1769 @ ( tc_List_Olist @ SY1770 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1623,plain,
! [SV106: $i] :
( ( ! [SY1771: $i] :
( ~ ( class_Orderings_Olinorder @ SV106 )
| ! [SY1772: $i] :
( ( c_lessequals @ SY1771 @ SY1772 @ SV106 )
| ! [SY1773: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1771 @ ( c_List_Olist_OCons @ SY1772 @ SY1773 @ SV106 ) @ SV106 ) @ SV106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1624,plain,
! [SV107: $i] :
( ( ! [SY1774: $i] :
( ~ ( class_Orderings_Olinorder @ SV107 )
| ! [SY1775: $i,SY1776: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1774 @ ( c_List_Olist_OCons @ SY1775 @ SY1776 @ SV107 ) @ SV107 ) @ SV107 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1775 @ SY1776 @ SV107 ) @ SV107 )
| ~ ( c_lessequals @ SY1774 @ SY1775 @ SV107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1180]) ).
thf(1625,plain,
! [SV108: $i] :
( ( ! [SY1777: $i,SY1778: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Odrop @ SV108 @ SY1777 @ SY1778 ) @ SY1778 ) @ ( c_List_Oset @ SY1777 @ SY1778 ) @ ( tc_fun @ SY1778 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1626,plain,
! [SV109: $i] :
( ( ! [SY1779: $i,SY1780: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Odrop @ SV109 @ SY1779 @ SY1780 ) @ ( tc_List_Olist @ SY1780 ) )
= ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY1779 @ ( tc_List_Olist @ SY1780 ) ) @ SV109 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1627,plain,
! [SV110: $i] :
( ( ! [SY1781: $i,SY1782: $i,SY1783: $i] :
( ( ( c_List_Olist__update @ SV110 @ SY1781 @ SY1782 @ SY1783 )
= SV110 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV110 @ ( tc_List_Olist @ SY1783 ) ) @ SY1781 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1183]) ).
thf(1628,plain,
! [SV111: $i] :
( ( ! [SY1784: $i,SY1785: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_OdropWhile @ SV111 @ SY1784 @ SY1785 ) @ ( tc_List_Olist @ SY1785 ) ) @ ( c_Nat_Osize__class_Osize @ SY1784 @ ( tc_List_Olist @ SY1785 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1629,plain,
! [SV112: $i] :
( ( ! [SY1786: $i,SY1787: $i,SY1788: $i] :
( ( c_List_Odrop @ SV112 @ ( c_List_Otake @ SY1786 @ SY1787 @ SY1788 ) @ SY1788 )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SY1786 @ SV112 @ tc_nat ) @ ( c_List_Odrop @ SV112 @ SY1787 @ SY1788 ) @ SY1788 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1185]) ).
thf(1630,plain,
! [SV113: $i] :
( ( ! [SY1789: $i,SY1790: $i] :
( ( c_List_Orotate @ SV113 @ SY1789 @ SY1790 )
= ( c_List_Orotate @ ( c_Divides_Odiv__class_Omod @ SV113 @ ( c_Nat_Osize__class_Osize @ SY1789 @ ( tc_List_Olist @ SY1790 ) ) @ tc_nat ) @ SY1789 @ SY1790 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1186]) ).
thf(1631,plain,
! [SV114: $i] :
( ( ! [SY1791: $i,SY1792: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ SV114 @ SY1791 @ SY1792 ) @ SY1792 ) @ ( c_List_Oset @ SY1791 @ SY1792 ) @ ( tc_fun @ SY1792 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1632,plain,
! [SV115: $i] :
( ( ! [SY1793: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV115 @ SY1793 ) @ ( tc_List_Olist @ SY1793 ) ) @ ( c_Nat_Osize__class_Osize @ SV115 @ ( tc_List_Olist @ SY1793 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1188]) ).
thf(1633,plain,
! [SV116: $i] :
( ( ! [SY1794: $i,SY1795: $i,SY1796: $i,SY1797: $i] :
( ( hBOOL @ ( hAPP @ SV116 @ ( c_Message_Oagent_Oagent__case @ SY1794 @ SY1795 @ SY1796 @ SY1797 @ t_a ) ) )
| ( SY1797 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( hAPP @ SY1795 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV116 @ SY1795 @ SY1797 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ SY1794 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1189]) ).
thf(1634,plain,
! [SV117: $i] :
( ( ! [SY1798: $i,SY1799: $i,SY1800: $i,SY1801: $i] :
( ( ( hAPP @ SV117 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1798 @ SV117 @ SY1799 @ SY1800 ) )
!= ( hAPP @ SY1799 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1798 @ SV117 @ SY1799 @ SY1800 ) ) )
| ! [SY1802: $i,SY1803: $i] :
( ( c_Message_Oagent_Oagent__case @ SY1801 @ SV117 @ SY1802 @ SY1798 @ SY1800 )
= ( c_Message_Oagent_Oagent__case @ SY1801 @ SY1799 @ SY1803 @ SY1798 @ SY1800 ) )
| ( SY1798 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1635,plain,
! [SV118: $i] :
( ( ! [SY1804: $i,SY1805: $i,SY1806: $i,SY1807: $i] :
( ( hBOOL @ ( hAPP @ SV118 @ ( c_Message_Oagent_Oagent__case @ SY1804 @ SY1805 @ SY1806 @ SY1807 @ t_a ) ) )
| ( SY1807 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( hAPP @ SY1805 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV118 @ SY1805 @ SY1807 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ SY1804 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1191]) ).
thf(1636,plain,
! [SV119: $i] :
( ( ! [SY1808: $i,SY1809: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV119 @ SY1808 ) @ ( c_Event_Oknows @ SV119 @ ( c_List_Olist_OCons @ SY1809 @ SY1808 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1192]) ).
thf(1637,plain,
! [SV120: $i] :
( ( ! [SY1810: $i,SY1811: $i,SY1812: $i] :
( ( c_List_Odrop @ SV120 @ ( c_List_Oreplicate @ SY1810 @ SY1811 @ SY1812 ) @ SY1812 )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ SY1810 @ SV120 @ tc_nat ) @ SY1811 @ SY1812 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1638,plain,
! [SV121: $i] :
( ( ! [SY1813: $i,SY1814: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Osublist @ SV121 @ SY1813 @ SY1814 ) @ SY1814 ) @ ( c_List_Oset @ SV121 @ SY1814 ) @ ( tc_fun @ SY1814 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1639,plain,
! [SV122: $i] :
( ( ! [SY1815: $i,SY1816: $i,SY1817: $i,SY1818: $i] :
( ( hBOOL @ ( hAPP @ SV122 @ ( c_Message_Oagent_Oagent__case @ SY1815 @ SY1816 @ SY1817 @ SY1818 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ SY1817 ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ ( hAPP @ SY1816 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV122 @ SY1816 @ SY1818 ) ) ) )
| ( SY1818 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1195]) ).
thf(1640,plain,
! [SV123: $i] :
( ( ! [SY1819: $i,SY1820: $i,SY1821: $i,SY1822: $i] :
( ( hBOOL @ ( hAPP @ SV123 @ ( c_Message_Oagent_Oagent__case @ SY1819 @ SY1820 @ SY1821 @ SY1822 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ SY1821 ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ ( hAPP @ SY1820 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV123 @ SY1820 @ SY1822 ) ) ) )
| ( SY1822 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1641,plain,
! [SV124: $i] :
( ( ! [SY1823: $i,SY1824: $i,SY1825: $i,SY1826: $i] :
( ( ( hAPP @ SV124 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1823 @ SV124 @ SY1824 @ SY1825 ) )
!= ( hAPP @ SY1824 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1823 @ SV124 @ SY1824 @ SY1825 ) ) )
| ( SY1823 = c_Message_Oagent_OServer )
| ! [SY1827: $i,SY1828: $i] :
( ( c_Message_Oagent_Oagent__case @ SY1826 @ SV124 @ SY1827 @ SY1823 @ SY1825 )
= ( c_Message_Oagent_Oagent__case @ SY1828 @ SY1824 @ SY1827 @ SY1823 @ SY1825 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1197]) ).
thf(1642,plain,
! [SV125: $i] :
( ( ! [SY1829: $i,SY1830: $i,SY1831: $i] :
( ( SV125
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV125 @ SY1829 @ SY1830 @ SY1831 ) ) )
| ! [SY1832: $i,SY1833: $i] :
( ( c_Message_Oagent_Oagent__case @ SY1832 @ SY1829 @ SY1833 @ SV125 @ SY1831 )
= ( c_Message_Oagent_Oagent__case @ SY1832 @ SY1830 @ SY1833 @ SV125 @ SY1831 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1198]) ).
thf(1643,plain,
! [SV126: $i] :
( ( ! [SY1834: $i,SY1835: $i,SY1836: $i,SY1837: $i] :
( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SY1834 @ SY1835 @ SY1836 @ SY1837 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SY1836 ) )
| ( SY1837
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SY1835 @ SY1837 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SY1834 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1199]) ).
thf(1644,plain,
! [SV127: $i] :
( ( ! [SY1838: $i,SY1839: $i,SY1840: $i,SY1841: $i] :
( ( hBOOL @ ( hAPP @ SV127 @ ( c_Message_Oagent_Oagent__case @ SY1838 @ SY1839 @ SY1840 @ SY1841 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SY1840 ) )
| ( SY1841
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV127 @ SY1839 @ SY1841 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SY1838 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1200]) ).
thf(1645,plain,
! [SV128: $i] :
( ( ! [SY1842: $i] : ( c_lessequals @ ( c_Event_OinitState @ SV128 ) @ ( c_Event_Oknows @ SV128 @ SY1842 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1646,plain,
! [SV129: $i] :
( ( ! [SY1843: $i] : ( hBOOL @ ( hAPP @ SV129 @ SY1843 ) )
| ~ ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV129 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV129 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1647,plain,
! [SV130: $i] :
( ( ! [SY1844: $i] : ( hBOOL @ ( hAPP @ SV130 @ SY1844 ) )
| ~ ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV130 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV130 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1648,plain,
! [SV131: $i] :
( ( ! [SY1845: $i] : ( hBOOL @ ( hAPP @ SV131 @ SY1845 ) )
| ~ ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV131 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV131 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1649,plain,
! [SV132: $i] :
( ( ! [SY1846: $i] : ( hBOOL @ ( hAPP @ SV132 @ SY1846 ) )
| ~ ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV132 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV132 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1205]) ).
thf(1650,plain,
! [SV133: $i] :
( ( ! [SY1847: $i] : ( hBOOL @ ( hAPP @ SV133 @ SY1847 ) )
| ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV133 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV133 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1206]) ).
thf(1651,plain,
! [SV134: $i] :
( ( ! [SY1848: $i] : ( hBOOL @ ( hAPP @ SV134 @ SY1848 ) )
| ~ ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV134 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV134 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1207]) ).
thf(1652,plain,
! [SV135: $i] :
( ( ! [SY1849: $i] : ( hBOOL @ ( hAPP @ SV135 @ SY1849 ) )
| ~ ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV135 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV135 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1208]) ).
thf(1653,plain,
! [SV136: $i] :
( ( ! [SY1850: $i] : ( hBOOL @ ( hAPP @ SV136 @ SY1850 ) )
| ~ ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV136 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV136 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1209]) ).
thf(1654,plain,
! [SV137: $i] :
( ( ! [SY1851: $i] : ( hBOOL @ ( hAPP @ SV137 @ SY1851 ) )
| ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV137 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV137 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1210]) ).
thf(1655,plain,
! [SV138: $i] :
( ( ! [SY1852: $i] : ( hBOOL @ ( hAPP @ SV138 @ SY1852 ) )
| ~ ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV138 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV138 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1211]) ).
thf(1656,plain,
! [SV139: $i] :
( ( ! [SY1853: $i] : ( hBOOL @ ( hAPP @ SV139 @ SY1853 ) )
| ~ ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV139 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV139 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1212]) ).
thf(1657,plain,
! [SV140: $i] :
( ( ! [SY1854: $i,SY1855: $i] :
( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SY1854 ) ) @ SY1855 @ SY1854 )
!= SV140 )
| ! [SY1856: $i] :
( ( c_List_Oappend @ SY1855 @ SY1856 @ SY1854 )
= ( c_List_Oappend @ SV140 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SY1854 ) ) @ SY1855 @ SY1854 ) @ SY1856 @ SY1854 ) @ SY1854 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SY1855 @ ( tc_List_Olist @ SY1854 ) ) @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SY1854 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1658,plain,
! [SV141: $i] :
( ( ! [SY1857: $i,SY1858: $i] :
( ( SV141
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SY1857 ) ) @ SY1858 @ SY1857 ) )
| ! [SY1859: $i] :
( ( c_List_Oappend @ SV141 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SY1857 ) ) @ SY1858 @ SY1857 ) @ SY1859 @ SY1857 ) @ SY1857 )
= ( c_List_Oappend @ SY1858 @ SY1859 @ SY1857 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SY1857 ) ) @ ( c_Nat_Osize__class_Osize @ SY1858 @ ( tc_List_Olist @ SY1857 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1659,plain,
! [SV142: $i] :
( ( ! [SY1860: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV142 )
| ! [SY1861: $i,SY1862: $i] :
( ( ( c_Finite__Set_Osetsum @ SY1860 @ ( c_List_Oset @ SY1861 @ SY1862 ) @ SY1862 @ SV142 )
= ( c_List_Olistsum @ ( c_List_Omap @ SY1860 @ SY1861 @ SY1862 @ SV142 ) @ SV142 ) )
| ~ ( c_List_Odistinct @ SY1861 @ SY1862 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1215]) ).
thf(1660,plain,
! [SV143: $i] :
( ( ! [SY1863: $i] :
( ( ( c_List_Oappend @ ( c_List_Obutlast @ SV143 @ SY1863 ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ SV143 @ SY1863 ) @ ( c_List_Olist_ONil @ SY1863 ) @ SY1863 ) @ SY1863 )
= SV143 )
| ( SV143
= ( c_List_Olist_ONil @ SY1863 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1216]) ).
thf(1661,plain,
! [SV144: $i] :
( ( ! [SY1864: $i,SY1865: $i] :
( ( hAPP @ ( c_List_Orev @ SV144 ) @ ( c_List_Otake @ SY1864 @ SY1865 @ SV144 ) )
= ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY1865 @ ( tc_List_Olist @ SV144 ) ) @ SY1864 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV144 ) @ SY1865 ) @ SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1217]) ).
thf(1662,plain,
! [SV145: $i] :
( ( ! [SY1866: $i,SY1867: $i] :
( ( hAPP @ ( c_List_Orev @ SV145 ) @ ( c_List_Odrop @ SY1866 @ SY1867 @ SV145 ) )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY1867 @ ( tc_List_Olist @ SV145 ) ) @ SY1866 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV145 ) @ SY1867 ) @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1663,plain,
! [SV146: $i] :
( ( ! [SY1868: $i,SY1869: $i] :
( ( c_Event_Oknows @ SV146 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV146 @ SY1868 ) @ SY1869 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY1868 @ ( c_Event_Oknows @ SV146 @ SY1869 ) @ tc_Message_Omsg ) )
| ( SV146 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1664,plain,
! [SV147: $i] :
( ( ! [SY1870: $i,SY1871: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV147 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY1870 @ SY1871 ) @ SV147 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1665,plain,
! [SV148: $i] :
( ( ! [SY1872: $i,SY1873: $i,SY1874: $i,SY1875: $i] :
( ( hBOOL @ ( hAPP @ SV148 @ ( c_Message_Oagent_Oagent__case @ SY1872 @ SY1873 @ SY1874 @ SY1875 @ t_a ) ) )
| ( SY1875 = c_Message_Oagent_OSpy )
| ( SY1875
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV148 @ SY1873 @ SY1875 ) ) )
| ( SY1875 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1666,plain,
! [SV149: $i] :
( ( ! [SY1876: $i,SY1877: $i,SY1878: $i,SY1879: $i,SY1880: $i,SY1881: $i] :
( ! [SY1882: $i] :
( ( c_Message_Oagent_Oagent__case @ SV149 @ SY1876 @ SY1877 @ SY1878 @ SY1879 )
= ( c_Message_Oagent_Oagent__case @ SY1880 @ SY1881 @ SY1882 @ SY1878 @ SY1879 ) )
| ( SY1878 = c_Message_Oagent_OSpy )
| ( SY1878
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY1878 @ SY1876 @ SY1881 @ SY1879 ) ) )
| ( SY1878 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1667,plain,
! [SV150: $i] :
( ( ! [SY1883: $i,SY1884: $i,SY1885: $i,SY1886: $i] :
( ( hBOOL @ ( hAPP @ SV150 @ ( c_Message_Oagent_Oagent__case @ SY1883 @ SY1884 @ SY1885 @ SY1886 @ t_a ) ) )
| ( SY1886 = c_Message_Oagent_OSpy )
| ( SY1886
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV150 @ SY1884 @ SY1886 ) ) )
| ( SY1886 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1668,plain,
! [SV151: $i] :
( ( ! [SY1887: $i,SY1888: $i] :
( ( c_List_Orotate @ SV151 @ SY1887 @ SY1888 )
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Divides_Odiv__class_Omod @ SV151 @ ( c_Nat_Osize__class_Osize @ SY1887 @ ( tc_List_Olist @ SY1888 ) ) @ tc_nat ) @ SY1887 @ SY1888 ) @ ( c_List_Otake @ ( c_Divides_Odiv__class_Omod @ SV151 @ ( c_Nat_Osize__class_Osize @ SY1887 @ ( tc_List_Olist @ SY1888 ) ) @ tc_nat ) @ SY1887 @ SY1888 ) @ SY1888 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1669,plain,
! [SV152: $i] :
( ( ! [SY1889: $i] :
( ( ( c_List_Orotate1 @ SV152 @ SY1889 )
= ( c_List_Oappend @ ( c_List_Otl @ SV152 @ SY1889 ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV152 @ SY1889 ) @ ( c_List_Olist_ONil @ SY1889 ) @ SY1889 ) @ SY1889 ) )
| ( SV152
= ( c_List_Olist_ONil @ SY1889 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1670,plain,
! [SV153: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV153 )
| ! [SY1890: $i,SY1891: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SY1890 @ SY1891 @ SV153 ) @ SV153 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1891 @ SV153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1671,plain,
! [SV154: $i] :
( ( ! [SY1892: $i,SY1893: $i,SY1894: $i,SY1895: $i] :
( ( c_List_Otake @ SV154 @ ( c_List_Omap @ SY1892 @ SY1893 @ SY1894 @ SY1895 ) @ SY1895 )
= ( c_List_Omap @ SY1892 @ ( c_List_Otake @ SV154 @ SY1893 @ SY1894 ) @ SY1894 @ SY1895 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1227]) ).
thf(1672,plain,
! [SV155: $i] :
( ( ! [SY1896: $i,SY1897: $i] :
( ( c_List_Oremdups @ ( c_List_Ofilter @ SV155 @ SY1896 @ SY1897 ) @ SY1897 )
= ( c_List_Ofilter @ SV155 @ ( c_List_Oremdups @ SY1896 @ SY1897 ) @ SY1897 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1228]) ).
thf(1673,plain,
! [SV156: $i] :
( ( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1229]) ).
thf(1674,plain,
! [SV157: $i] :
( ( ! [SY1898: $i,SY1899: $i,SY1900: $i,SY1901: $i,SY1902: $i] :
( ( c_List_Olist__all2 @ SV157 @ ( c_List_Otake @ SY1898 @ SY1899 @ SY1900 ) @ ( c_List_Otake @ SY1898 @ SY1901 @ SY1902 ) @ SY1900 @ SY1902 )
| ~ ( c_List_Olist__all2 @ SV157 @ SY1899 @ SY1901 @ SY1900 @ SY1902 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1230]) ).
thf(1675,plain,
! [SV158: $i] :
( ( ! [SY1903: $i,SY1904: $i,SY1905: $i] :
( ( c_Fun_Oinj__on @ SV158 @ ( c_List_Oset @ SY1903 @ SY1904 ) @ SY1904 @ SY1905 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SV158 @ SY1903 @ SY1904 @ SY1905 ) @ SY1905 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1231]) ).
thf(1676,plain,
! [SV159: $i] :
( ( ! [SY1906: $i,SY1907: $i,SY1908: $i] :
( ! [SY1909: $i] :
( ( c_List_Olist_OCons @ SV159 @ SY1906 @ SY1907 )
!= ( c_List_Ofilter @ SY1908 @ SY1909 @ SY1907 ) )
| ( hBOOL @ ( hAPP @ SY1908 @ SV159 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1232]) ).
thf(1677,plain,
! [SV160: $i] :
( ( ! [SY1910: $i] :
( ( SV160 = SY1910 )
| ! [SY1911: $i] :
~ ( c_List_Olist__all2 @ ( c_fequal @ SY1911 ) @ SV160 @ SY1910 @ SY1911 @ SY1911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1233]) ).
thf(1678,plain,
! [SV161: $i] :
( ( ! [SY1912: $i,SY1913: $i,SY1914: $i,SY1915: $i,SY1916: $i] :
( ( c_List_Ofoldl @ SV161 @ SY1912 @ ( c_List_Olist_OCons @ SY1913 @ SY1914 @ SY1915 ) @ SY1916 @ SY1915 )
= ( c_List_Ofoldl @ SV161 @ ( hAPP @ ( hAPP @ SV161 @ SY1912 ) @ SY1913 ) @ SY1914 @ SY1916 @ SY1915 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1234]) ).
thf(1679,plain,
! [SV162: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV162 )
| ! [SY1917: $i,SY1918: $i] :
( ( ( c_List_Oset @ SY1917 @ SV162 )
!= ( c_List_Oset @ SY1918 @ SV162 ) )
| ~ ( c_List_Odistinct @ SY1918 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1918 @ SV162 )
| ~ ( c_List_Odistinct @ SY1917 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1917 @ SV162 )
| ( SY1917 = SY1918 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1235]) ).
thf(1680,plain,
! [SV163: $i] :
( ( ! [SY1919: $i] :
( ~ ( class_Orderings_Olinorder @ SV163 )
| ! [SY1920: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1919 @ SY1920 @ SV163 ) @ SV163 )
| ! [SY1921: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1921 @ ( c_List_Olist_OCons @ SY1919 @ SY1920 @ SV163 ) @ SV163 ) @ SV163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1236]) ).
thf(1681,plain,
! [SV164: $i] :
( ( ! [SY1922: $i,SY1923: $i,SY1924: $i,SY1925: $i,SY1926: $i,SY1927: $i] :
( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SY1922 @ SY1923 @ SY1924 ) @ ( c_List_Oappend @ SY1925 @ SY1926 @ SY1927 ) @ SY1924 @ SY1927 )
| ~ ( c_List_Olist__all2 @ SV164 @ SY1923 @ SY1926 @ SY1924 @ SY1927 )
| ~ ( c_List_Olist__all2 @ SV164 @ SY1922 @ SY1925 @ SY1924 @ SY1927 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1682,plain,
! [SV165: $i] :
( ( ! [SY1928: $i,SY1929: $i,SY1930: $i,SY1931: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SY1928 ) )
!= ( c_Nat_Osize__class_Osize @ SY1929 @ ( tc_List_Olist @ SY1930 ) ) )
| ! [SY1932: $i] :
( ( ( c_Nat_Osize__class_Osize @ SY1931 @ ( tc_List_Olist @ SY1928 ) )
!= ( c_Nat_Osize__class_Osize @ SY1932 @ ( tc_List_Olist @ SY1930 ) ) )
| ! [SY1933: $i] :
( ( c_List_Olist__all2 @ SY1933 @ ( c_List_Oappend @ SY1931 @ SV165 @ SY1928 ) @ ( c_List_Oappend @ SY1932 @ SY1929 @ SY1930 ) @ SY1928 @ SY1930 )
| ~ ( c_List_Olist__all2 @ SY1933 @ SV165 @ SY1929 @ SY1928 @ SY1930 )
| ~ ( c_List_Olist__all2 @ SY1933 @ SY1931 @ SY1932 @ SY1928 @ SY1930 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1238]) ).
thf(1683,plain,
! [SV166: $i] :
( ( ! [SY1934: $i,SY1935: $i,SY1936: $i,SY1937: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SY1934 ) )
!= ( c_Nat_Osize__class_Osize @ SY1935 @ ( tc_List_Olist @ SY1936 ) ) )
| ! [SY1938: $i] :
( ( ( c_Nat_Osize__class_Osize @ SY1937 @ ( tc_List_Olist @ SY1934 ) )
!= ( c_Nat_Osize__class_Osize @ SY1938 @ ( tc_List_Olist @ SY1936 ) ) )
| ! [SY1939: $i] :
( ( c_List_Olist__all2 @ SY1939 @ ( c_List_Oappend @ SY1938 @ SY1935 @ SY1936 ) @ ( c_List_Oappend @ SY1937 @ SV166 @ SY1934 ) @ SY1936 @ SY1934 )
| ~ ( c_List_Olist__all2 @ SY1939 @ SY1935 @ SV166 @ SY1936 @ SY1934 )
| ~ ( c_List_Olist__all2 @ SY1939 @ SY1938 @ SY1937 @ SY1936 @ SY1934 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1684,plain,
! [SV167: $i] :
( ( ! [SY1940: $i,SY1941: $i,SY1942: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV167 @ SY1940 @ SY1941 ) @ SY1942 @ SY1941 )
= ( c_List_Olist_OCons @ SV167 @ ( c_List_Oappend @ SY1940 @ SY1942 @ SY1941 ) @ SY1941 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1685,plain,
! [SV168: $i] :
( ( ! [SY1943: $i,SY1944: $i,SY1945: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV168 @ SY1943 @ SY1944 ) @ SY1945 @ SY1944 )
= ( c_List_Olist_OCons @ SV168 @ ( c_List_Oappend @ SY1943 @ SY1945 @ SY1944 ) @ SY1944 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1686,plain,
! [SV169: $i] :
( ( ! [SY1946: $i,SY1947: $i] :
( ~ ( hBOOL @ ( hAPP @ SV169 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV169 @ SY1946 @ SY1947 ) @ SY1947 ) ) )
| ( ( c_List_OdropWhile @ SV169 @ SY1946 @ SY1947 )
= ( c_List_Olist_ONil @ SY1947 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1687,plain,
! [SV170: $i] :
( ( ! [SY1948: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV170 @ SY1948 ) @ SY1948 )
| ~ ( c_List_Odistinct @ SV170 @ SY1948 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1688,plain,
! [SV171: $i] :
( ( ! [SY1949: $i] :
( ( c_List_Odistinct @ SV171 @ SY1949 )
| ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ SV171 @ SY1949 ) @ SY1949 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1689,plain,
! [SV172: $i] :
( ( ! [SY1950: $i,SY1951: $i] :
( SV172
= ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY1950 @ ( tc_List_Olist @ SY1951 ) ) @ ( c_List_Oappend @ SY1950 @ SV172 @ SY1951 ) @ SY1951 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1690,plain,
! [SV173: $i] :
( ( ! [SY1952: $i,SY1953: $i] :
( ( c_List_Odistinct @ ( c_List_Ofilter @ SV173 @ SY1952 @ SY1953 ) @ SY1953 )
| ~ ( c_List_Odistinct @ SY1952 @ SY1953 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1691,plain,
! [SV174: $i] :
( ( ! [SY1954: $i,SY1955: $i,SY1956: $i,SY1957: $i] :
( ( c_List_Omap @ SV174 @ ( c_List_Olist_OCons @ SY1954 @ SY1955 @ SY1956 ) @ SY1956 @ SY1957 )
= ( c_List_Olist_OCons @ ( hAPP @ SV174 @ SY1954 ) @ ( c_List_Omap @ SV174 @ SY1955 @ SY1956 @ SY1957 ) @ SY1957 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1692,plain,
! [SV175: $i] :
( ( ! [SY1958: $i,SY1959: $i,SY1960: $i,SY1961: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ SV175 @ SY1958 ) @ ( c_List_Omap @ SV175 @ SY1959 @ SY1960 @ SY1961 ) @ SY1961 )
= ( c_List_Omap @ SV175 @ ( c_List_Olist_OCons @ SY1958 @ SY1959 @ SY1960 ) @ SY1960 @ SY1961 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1693,plain,
! [SV176: $i] :
( ( ! [SY1962: $i,SY1963: $i,SY1964: $i,SY1965: $i] :
( ( c_List_Omap @ SV176 @ ( c_List_Olist_OCons @ SY1962 @ SY1963 @ SY1964 ) @ SY1964 @ SY1965 )
= ( c_List_Olist_OCons @ ( hAPP @ SV176 @ SY1962 ) @ ( c_List_Omap @ SV176 @ SY1963 @ SY1964 @ SY1965 ) @ SY1965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1694,plain,
! [SV177: $i] :
( ( ! [SY1966: $i,SY1967: $i,SY1968: $i,SY1969: $i,SY1970: $i] :
( ( c_List_Olist_Olist__case @ SV177 @ SY1966 @ ( c_List_Olist_OCons @ SY1967 @ SY1968 @ SY1969 ) @ SY1970 @ SY1969 )
= ( hAPP @ ( hAPP @ SY1966 @ SY1967 ) @ SY1968 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1695,plain,
! [SV178: $i] :
( ( ! [SY1971: $i,SY1972: $i] :
( ( c_List_Oremove1 @ SV178 @ ( c_List_Olist_OCons @ SV178 @ SY1971 @ SY1972 ) @ SY1972 )
= SY1971 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1251]) ).
thf(1696,plain,
! [SV179: $i] :
( ( ( c_Message_Oagent_OFriend @ SV179 )
!= c_Message_Oagent_OServer )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1252]) ).
thf(1697,plain,
! [SV180: $i] :
( ( ! [SY1973: $i,SY1974: $i,SY1975: $i,SY1976: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV180 @ SY1973 ) @ SY1974 ) )
| ! [SY1977: $i,SY1978: $i] :
~ ( c_List_Olist__all2 @ SV180 @ ( c_List_Olist_OCons @ SY1973 @ SY1975 @ SY1976 ) @ ( c_List_Olist_OCons @ SY1974 @ SY1977 @ SY1978 ) @ SY1976 @ SY1978 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1698,plain,
! [SV181: $i] :
( ( ! [SY1979: $i,SY1980: $i,SY1981: $i] :
( ( c_List_Olist_OCons @ SV181 @ ( c_List_Oappend @ SY1979 @ SY1980 @ SY1981 ) @ SY1981 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV181 @ SY1979 @ SY1981 ) @ SY1980 @ SY1981 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1699,plain,
! [SV182: $i] :
( ( ! [SY1982: $i,SY1983: $i,SY1984: $i] :
( ( c_List_Olist_OCons @ SV182 @ ( c_List_Oappend @ SY1982 @ SY1983 @ SY1984 ) @ SY1984 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV182 @ SY1982 @ SY1984 ) @ SY1983 @ SY1984 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1255]) ).
thf(1700,plain,
! [SV183: $i] :
( ( ! [SY1985: $i,SY1986: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV183 @ SY1985 @ SY1986 ) @ SY1986 )
= ( c_List_Olast @ SY1985 @ SY1986 ) )
| ( SY1985
= ( c_List_Olist_ONil @ SY1986 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1701,plain,
! [SV184: $i] :
( ( ! [SY1987: $i,SY1988: $i,SY1989: $i] :
( ( c_Message_Oagent_Oagent__case @ SV184 @ SY1987 @ SY1988 @ c_Message_Oagent_OServer @ SY1989 )
= SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1257]) ).
thf(1702,plain,
! [SV185: $i] :
( ( ! [SY1990: $i,SY1991: $i,SY1992: $i] :
( ( c_List_Odistinct @ ( c_List_Omap @ SV185 @ SY1990 @ SY1991 @ SY1992 ) @ SY1992 )
| ~ ( c_Fun_Oinj__on @ SV185 @ ( c_List_Oset @ SY1990 @ SY1991 ) @ SY1991 @ SY1992 )
| ~ ( c_List_Odistinct @ SY1990 @ SY1991 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1703,plain,
! [SV186: $i] :
( ( ! [SY1993: $i,SY1994: $i] :
( ( c_List_Oappend @ ( c_List_Otake @ SV186 @ SY1993 @ SY1994 ) @ ( c_List_Odrop @ SV186 @ SY1993 @ SY1994 ) @ SY1994 )
= SY1993 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1704,plain,
! [SV187: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV187 )
| ! [SY1995: $i] :
( ( c_List_Olinorder__class_Osorted @ SY1995 @ SV187 )
| ! [SY1996: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1996 @ SY1995 @ SV187 ) @ SV187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1705,plain,
! [SV188: $i] :
( ( ! [SY1997: $i,SY1998: $i] :
( ( c_List_Odistinct @ ( c_List_Odrop @ SV188 @ SY1997 @ SY1998 ) @ SY1998 )
| ~ ( c_List_Odistinct @ SY1997 @ SY1998 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1706,plain,
! [SV189: $i] :
( ( ! [SY1999: $i,SY2000: $i] :
( ( c_List_Olist__all @ SV189 @ SY1999 @ SY2000 )
| ! [SY2001: $i] :
~ ( c_List_Olist__all @ SV189 @ ( c_List_Olist_OCons @ SY2001 @ SY1999 @ SY2000 ) @ SY2000 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1707,plain,
! [SV190: $i] :
( ( ! [SY2002: $i] :
( ( ( c_List_Oremdups @ SV190 @ SY2002 )
!= SV190 )
| ( c_List_Odistinct @ SV190 @ SY2002 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1708,plain,
! [SV191: $i] :
( ( ! [SY2003: $i] :
( ( ( c_List_Oremdups @ SV191 @ SY2003 )
= SV191 )
| ~ ( c_List_Odistinct @ SV191 @ SY2003 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1264]) ).
thf(1709,plain,
! [SV192: $i] :
( ( ! [SY2004: $i] :
( ( hBOOL @ ( hAPP @ SV192 @ SY2004 ) )
| ! [SY2005: $i,SY2006: $i] :
~ ( c_List_Olist__all @ SV192 @ ( c_List_Olist_OCons @ SY2004 @ SY2005 @ SY2006 ) @ SY2006 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1710,plain,
! [SV193: $i] :
( ( ! [SY2007: $i,SY2008: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ SV193 @ SY2007 @ SY2008 ) @ SY2008 )
= ( c_List_Ohd @ SV193 @ SY2008 ) )
| ( SV193
= ( c_List_Olist_ONil @ SY2008 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1711,plain,
! [SV194: $i] :
( ( ! [SY2009: $i,SY2010: $i,SY2011: $i,SY2012: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SY2009 ) )
!= ( c_Nat_Osize__class_Osize @ SY2010 @ ( tc_List_Olist @ SY2011 ) ) )
| ! [SY2013: $i,SY2014: $i] :
( ( c_List_Olist__all2 @ SY2012 @ ( c_List_Oappend @ SV194 @ SY2013 @ SY2009 ) @ ( c_List_Oappend @ SY2010 @ SY2014 @ SY2011 ) @ SY2009 @ SY2011 )
| ~ ( c_List_Olist__all2 @ SY2012 @ SY2013 @ SY2014 @ SY2009 @ SY2011 )
| ~ ( c_List_Olist__all2 @ SY2012 @ SV194 @ SY2010 @ SY2009 @ SY2011 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1712,plain,
! [SV195: $i] :
( ( ! [SY2015: $i,SY2016: $i] :
( ( c_List_Olist_OCons @ SV195 @ SY2015 @ SY2016 )
!= SY2015 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1713,plain,
! [SV196: $i] :
( ( ! [SY2017: $i,SY2018: $i] :
( SV196
!= ( c_List_Olist_OCons @ SY2017 @ SV196 @ SY2018 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1714,plain,
! [SV197: $i] :
( ( ! [SY2019: $i,SY2020: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ SV197 @ SY2019 @ SY2020 ) @ SY2020 )
= ( c_List_Oappend @ SY2019 @ ( c_List_Olist_OCons @ SV197 @ ( c_List_Olist_ONil @ SY2020 ) @ SY2020 ) @ SY2020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1715,plain,
! [SV198: $i] :
( ( ! [SY2021: $i,SY2022: $i,SY2023: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ SV198 @ SY2021 @ SY2022 @ SY2023 ) @ ( tc_List_Olist @ SY2023 ) )
= ( c_Nat_Osize__class_Osize @ SV198 @ ( tc_List_Olist @ SY2023 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1716,plain,
! [SV199: $i] :
( ( ! [SY2024: $i,SY2025: $i] :
( ( c_List_Olist_OCons @ SV199 @ SY2024 @ SY2025 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2025 ) @ ( c_List_Olist_OCons @ SV199 @ SY2024 @ SY2025 ) @ SY2025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1717,plain,
! [SV200: $i] :
( ( ! [SY2026: $i,SY2027: $i,SY2028: $i,SY2029: $i,SY2030: $i] :
( ( c_List_Omap @ SV200 @ ( c_List_Olist__update @ SY2026 @ SY2027 @ SY2028 @ SY2029 ) @ SY2029 @ SY2030 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV200 @ SY2026 @ SY2029 @ SY2030 ) @ SY2027 @ ( hAPP @ SV200 @ SY2028 ) @ SY2030 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1273]) ).
thf(1718,plain,
! [SV201: $i] :
( ( ! [SY2031: $i,SY2032: $i,SY2033: $i,SY2034: $i] :
( ( c_Message_Oagent_Oagent__case @ SV201 @ SY2031 @ SY2032 @ ( c_Message_Oagent_OFriend @ SY2033 ) @ SY2034 )
= ( hAPP @ SY2031 @ SY2033 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1719,plain,
! [SV202: $i] :
( ( ! [SY2035: $i,SY2036: $i,SY2037: $i] :
( ( c_List_Olist__all @ SV202 @ ( c_List_Oappend @ SY2035 @ SY2036 @ SY2037 ) @ SY2037 )
| ~ ( c_List_Olist__all @ SV202 @ SY2036 @ SY2037 )
| ~ ( c_List_Olist__all @ SV202 @ SY2035 @ SY2037 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1720,plain,
! [SV203: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV203 )
| ! [SY2038: $i] : ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2038 @ ( c_List_Olist_ONil @ SV203 ) @ SV203 ) @ SV203 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1721,plain,
! [SV204: $i] :
( ( ! [SY2039: $i,SY2040: $i] :
( ( c_List_Odistinct @ ( c_List_Otake @ SV204 @ SY2039 @ SY2040 ) @ SY2040 )
| ~ ( c_List_Odistinct @ SY2039 @ SY2040 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1722,plain,
! [SV205: $i] :
( ( ! [SY2041: $i,SY2042: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV205 @ SY2041 @ SY2042 ) @ ( c_List_Olist_OCons @ SY2041 @ ( c_List_Olist_ONil @ SY2042 ) @ SY2042 ) @ SY2042 )
= ( c_List_Olist_OCons @ SY2041 @ ( c_List_Oreplicate @ SV205 @ SY2041 @ SY2042 ) @ SY2042 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1278]) ).
thf(1723,plain,
! [SV206: $i] :
( ( ! [SY2043: $i,SY2044: $i,SY2045: $i,SY2046: $i,SY2047: $i] :
( ( c_List_Ofoldl @ SV206 @ SY2043 @ ( c_List_Oappend @ SY2044 @ SY2045 @ SY2046 ) @ SY2047 @ SY2046 )
= ( c_List_Ofoldl @ SV206 @ ( c_List_Ofoldl @ SV206 @ SY2043 @ SY2044 @ SY2047 @ SY2046 ) @ SY2045 @ SY2047 @ SY2046 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1279]) ).
thf(1724,plain,
! [SV207: $i] :
( ( ! [SY2048: $i] :
( ( c_List_Odistinct @ SV207 @ SY2048 )
| ! [SY2049: $i] :
~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SY2049 @ SV207 @ SY2048 ) @ SY2048 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1280]) ).
thf(1725,plain,
! [SV208: $i] :
( ( ! [SY2050: $i,SY2051: $i,SY2052: $i] :
( ( c_List_Ofilter @ SV208 @ ( c_List_Oappend @ SY2050 @ SY2051 @ SY2052 ) @ SY2052 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV208 @ SY2050 @ SY2052 ) @ ( c_List_Ofilter @ SV208 @ SY2051 @ SY2052 ) @ SY2052 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1281]) ).
thf(1726,plain,
! [SV209: $i] :
( ( ! [SY2053: $i] :
( ( ( c_Message_Oagent_OFriend @ SV209 )
!= ( c_Message_Oagent_OFriend @ SY2053 ) )
| ( SV209 = SY2053 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1727,plain,
! [SV210: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV210 ) @ ( c_List_Olist_ONil @ SV210 ) @ SV210 )
= ( c_List_Olist_ONil @ SV210 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1728,plain,
! [SV211: $i] :
( ( ! [SY2054: $i,SY2055: $i] :
( ! [SY2056: $i] :
( ( c_List_Omap @ SV211 @ SY2054 @ SY2055 @ SY2056 )
!= ( c_List_Olist_ONil @ SY2056 ) )
| ( SY2054
= ( c_List_Olist_ONil @ SY2055 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1729,plain,
! [SV212: $i] :
( ( ! [SY2057: $i,SY2058: $i] : ( c_List_Olist__all2 @ SV212 @ ( c_List_Olist_ONil @ SY2057 ) @ ( c_List_Olist_ONil @ SY2058 ) @ SY2057 @ SY2058 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1730,plain,
! [SV213: $i] :
( ( ! [SY2059: $i] :
( ( SV213
= ( c_List_Olist_ONil @ SY2059 ) )
| ~ ( c_List_Onull @ SV213 @ SY2059 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1286]) ).
thf(1731,plain,
! [SV214: $i] :
( ( ( c_List_Olist_ONil @ SV214 )
= ( c_List_Oremdups @ ( c_List_Olist_ONil @ SV214 ) @ SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1732,plain,
! [SV215: $i] :
( ( ! [SY2060: $i,SY2061: $i] :
( ( SV215
!= ( c_List_Oappend @ SY2060 @ SV215 @ SY2061 ) )
| ( SY2060
= ( c_List_Olist_ONil @ SY2061 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1733,plain,
! [SV216: $i] :
( ( ! [SY2062: $i,SY2063: $i] :
( ( ( c_List_Oappend @ SV216 @ SY2062 @ SY2063 )
!= SY2062 )
| ( SV216
= ( c_List_Olist_ONil @ SY2063 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1289]) ).
thf(1734,plain,
! [SV217: $i] :
( ( ! [SY2064: $i,SY2065: $i] :
( ( SV217
!= ( c_List_Oappend @ SV217 @ SY2064 @ SY2065 ) )
| ( SY2064
= ( c_List_Olist_ONil @ SY2065 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1735,plain,
! [SV218: $i] :
( ( ! [SY2066: $i,SY2067: $i] :
( ( ( c_List_Oappend @ SV218 @ SY2066 @ SY2067 )
!= SV218 )
| ( SY2066
= ( c_List_Olist_ONil @ SY2067 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1736,plain,
! [SV219: $i] :
( ( ! [SY2068: $i] :
( ( ( c_List_Oremdups @ SV219 @ SY2068 )
!= ( c_List_Olist_ONil @ SY2068 ) )
| ( SV219
= ( c_List_Olist_ONil @ SY2068 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1292]) ).
thf(1737,plain,
! [SV220: $i] :
( ( ! [SY2069: $i,SY2070: $i] :
( ( ( c_List_Orotate @ SV220 @ SY2069 @ SY2070 )
!= ( c_List_Olist_ONil @ SY2070 ) )
| ( SY2069
= ( c_List_Olist_ONil @ SY2070 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1738,plain,
! [SV221: $i] :
( ( ! [SY2071: $i] :
( ( SV221
= ( c_List_Olist_ONil @ SY2071 ) )
| ! [SY2072: $i,SY2073: $i] :
~ ( c_List_Olist__all2 @ SY2072 @ SV221 @ ( c_List_Olist_ONil @ SY2073 ) @ SY2071 @ SY2073 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1739,plain,
! [SV222: $i] :
( ( ! [SY2074: $i] :
( ( SV222
= ( c_List_Olist_ONil @ SY2074 ) )
| ! [SY2075: $i,SY2076: $i] :
~ ( c_List_Olist__all2 @ SY2075 @ ( c_List_Olist_ONil @ SY2076 ) @ SV222 @ SY2076 @ SY2074 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1295]) ).
thf(1740,plain,
! [SV223: $i] :
( ( c_List_Odistinct @ ( c_List_Olist_ONil @ SV223 ) @ SV223 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1741,plain,
! [SV224: $i] :
( ( ! [SY2077: $i,SY2078: $i] :
( ( c_List_Olist_ONil @ SV224 )
!= ( c_List_Olist_OCons @ SY2077 @ SY2078 @ SV224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1742,plain,
! [SV225: $i] :
( ( ! [SY2079: $i,SY2080: $i] :
( ( ( c_List_Oappend @ SV225 @ SY2079 @ SY2080 )
!= ( c_List_Olist_ONil @ SY2080 ) )
| ( SY2079
= ( c_List_Olist_ONil @ SY2080 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1743,plain,
! [SV226: $i] :
( ( ! [SY2081: $i,SY2082: $i] :
( ( ( c_List_Oappend @ SV226 @ SY2081 @ SY2082 )
!= ( c_List_Olist_ONil @ SY2082 ) )
| ( SV226
= ( c_List_Olist_ONil @ SY2082 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1299]) ).
thf(1744,plain,
! [SV227: $i] :
( ( ! [SY2083: $i,SY2084: $i] :
( ( ( c_List_Olist_ONil @ SV227 )
!= ( c_List_Oappend @ SY2083 @ SY2084 @ SV227 ) )
| ( SY2084
= ( c_List_Olist_ONil @ SV227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1300]) ).
thf(1745,plain,
! [SV228: $i] :
( ( ! [SY2085: $i] :
( ! [SY2086: $i] :
( ( c_List_Olist_ONil @ SV228 )
!= ( c_List_Oappend @ SY2085 @ SY2086 @ SV228 ) )
| ( SY2085
= ( c_List_Olist_ONil @ SV228 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1301]) ).
thf(1746,plain,
! [SV229: $i] :
( ( ! [SY2087: $i] :
( ! [SY2088: $i,SY2089: $i] :
( ( c_List_Ofilter @ SV229 @ ( c_List_Olist_OCons @ SY2087 @ SY2088 @ SY2089 ) @ SY2089 )
= ( c_List_Olist_OCons @ SY2087 @ ( c_List_Ofilter @ SV229 @ SY2088 @ SY2089 ) @ SY2089 ) )
| ~ ( hBOOL @ ( hAPP @ SV229 @ SY2087 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1747,plain,
! [SV230: $i] :
( ( ! [SY2090: $i,SY2091: $i] :
( ( c_List_Olistsp @ SV230 @ SY2090 @ SY2091 )
| ! [SY2092: $i] :
~ ( c_List_Olistsp @ SV230 @ ( c_List_Oappend @ SY2090 @ SY2092 @ SY2091 ) @ SY2091 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1748,plain,
! [SV231: $i] :
( ( ! [SY2093: $i,SY2094: $i] :
( ( c_List_Olistsp @ SV231 @ SY2093 @ SY2094 )
| ! [SY2095: $i] :
~ ( c_List_Olistsp @ SV231 @ ( c_List_Oappend @ SY2095 @ SY2093 @ SY2094 ) @ SY2094 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1304]) ).
thf(1749,plain,
! [SV232: $i] :
( ( ! [SY2096: $i,SY2097: $i,SY2098: $i] :
( ! [SY2099: $i] :
( ( c_List_Oreplicate @ SV232 @ SY2096 @ SY2097 )
!= ( c_List_Oreplicate @ SY2098 @ SY2099 @ SY2097 ) )
| ( SV232 = SY2098 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1305]) ).
thf(1750,plain,
! [SV233: $i] :
( ( ! [SY2100: $i,SY2101: $i,SY2102: $i] :
( ( ( c_List_Oappend @ SV233 @ SY2100 @ SY2101 )
!= ( c_List_Oappend @ SY2102 @ SY2100 @ SY2101 ) )
| ( SV233 = SY2102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1751,plain,
! [SV234: $i] :
( ( ! [SY2103: $i,SY2104: $i,SY2105: $i] :
( ( ( c_List_Oappend @ SV234 @ SY2103 @ SY2104 )
!= ( c_List_Oappend @ SV234 @ SY2105 @ SY2104 ) )
| ( SY2103 = SY2105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1307]) ).
thf(1752,plain,
! [SV235: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV235 )
| ! [SY2106: $i,SY2107: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SY2106 @ SY2107 @ SV235 ) @ SV235 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2107 @ SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1308]) ).
thf(1753,plain,
! [SV236: $i] :
( ( ! [SY2108: $i,SY2109: $i,SY2110: $i] :
( ! [SY2111: $i] :
( ( c_List_Ofilter @ SV236 @ SY2108 @ SY2109 )
!= ( c_List_Olist_OCons @ SY2110 @ SY2111 @ SY2109 ) )
| ( hBOOL @ ( hAPP @ SV236 @ SY2110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1309]) ).
thf(1754,plain,
! [SV237: $i] :
( ( ! [SY2112: $i,SY2113: $i,SY2114: $i,SY2115: $i] :
( ( c_List_Olist__all2 @ SV237 @ SY2112 @ SY2113 @ SY2114 @ SY2115 )
| ! [SY2116: $i,SY2117: $i] :
~ ( c_List_Olist__all2 @ SV237 @ ( c_List_Olist_OCons @ SY2116 @ SY2112 @ SY2114 ) @ ( c_List_Olist_OCons @ SY2117 @ SY2113 @ SY2115 ) @ SY2114 @ SY2115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1755,plain,
! [SV238: $i] :
( ( ! [SY2118: $i,SY2119: $i,SY2120: $i,SY2121: $i] :
( ( c_List_Orotate @ SV238 @ ( c_List_Omap @ SY2118 @ SY2119 @ SY2120 @ SY2121 ) @ SY2121 )
= ( c_List_Omap @ SY2118 @ ( c_List_Orotate @ SV238 @ SY2119 @ SY2120 ) @ SY2120 @ SY2121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1311]) ).
thf(1756,plain,
! [SV239: $i] :
( ( ! [SY2122: $i] :
( ( c_List_Odistinct @ SV239 @ SY2122 )
| ! [SY2123: $i] :
~ ( c_List_Odistinct @ ( c_List_Oappend @ SV239 @ SY2123 @ SY2122 ) @ SY2122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1312]) ).
thf(1757,plain,
! [SV240: $i] :
( ( ! [SY2124: $i] :
( ( c_List_Odistinct @ SV240 @ SY2124 )
| ! [SY2125: $i] :
~ ( c_List_Odistinct @ ( c_List_Oappend @ SY2125 @ SV240 @ SY2124 ) @ SY2124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1313]) ).
thf(1758,plain,
! [SV241: $i] :
( ( ! [SY2126: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV241 @ SY2126 ) @ ( tc_List_Olist @ SY2126 ) )
!= ( c_Nat_Osize__class_Osize @ SV241 @ ( tc_List_Olist @ SY2126 ) ) )
| ( ( c_List_Oremdups @ SV241 @ SY2126 )
= SV241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1314]) ).
thf(1759,plain,
! [SV242: $i] :
( ( ! [SY2127: $i] :
( ( ( c_List_Oremdups @ SV242 @ SY2127 )
!= SV242 )
| ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV242 @ SY2127 ) @ ( tc_List_Olist @ SY2127 ) )
= ( c_Nat_Osize__class_Osize @ SV242 @ ( tc_List_Olist @ SY2127 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1760,plain,
! [SV243: $i] :
( ( ! [SY2128: $i,SY2129: $i] :
( SV243
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV243 @ ( tc_List_Olist @ SY2128 ) ) @ ( c_List_Oappend @ SV243 @ SY2129 @ SY2128 ) @ SY2128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1761,plain,
! [SV244: $i] :
( ( ! [SY2130: $i,SY2131: $i,SY2132: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ SV244 @ SY2130 @ SY2131 @ SY2132 ) @ ( tc_List_Olist @ SY2132 ) )
= ( c_Nat_Osize__class_Osize @ SY2130 @ ( tc_List_Olist @ SY2131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1762,plain,
! [SV245: $i] :
( ( ! [SY2133: $i,SY2134: $i] :
( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV245 @ SY2133 @ SY2134 ) @ SY2134 )
| ~ ( c_List_Odistinct @ SY2133 @ SY2134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1318]) ).
thf(1763,plain,
! [SV246: $i] :
( ( ! [SY2135: $i,SY2136: $i,SY2137: $i,SY2138: $i] :
( ( c_List_Omap @ SV246 @ ( c_List_Oreplicate @ SY2135 @ SY2136 @ SY2137 ) @ SY2137 @ SY2138 )
= ( c_List_Oreplicate @ SY2135 @ ( hAPP @ SV246 @ SY2136 ) @ SY2138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1319]) ).
thf(1764,plain,
! [SV247: $i] :
( ( ! [SY2139: $i,SY2140: $i,SY2141: $i,SY2142: $i,SY2143: $i] :
( ( c_List_Ofoldr @ SV247 @ ( c_List_Oappend @ SY2139 @ SY2140 @ SY2141 ) @ SY2142 @ SY2141 @ SY2143 )
= ( c_List_Ofoldr @ SV247 @ SY2139 @ ( c_List_Ofoldr @ SV247 @ SY2140 @ SY2142 @ SY2141 @ SY2143 ) @ SY2141 @ SY2143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1765,plain,
! [SV248: $i] :
( ( ! [SY2144: $i] :
( ! [SY2145: $i,SY2146: $i] : ( c_List_Olist__ex @ SV248 @ ( c_List_Olist_OCons @ SY2144 @ SY2145 @ SY2146 ) @ SY2146 )
| ~ ( hBOOL @ ( hAPP @ SV248 @ SY2144 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1766,plain,
! [SV249: $i] :
( ( ! [SY2147: $i,SY2148: $i,SY2149: $i] :
( ! [SY2150: $i] :
( ( c_List_OdropWhile @ SV249 @ SY2147 @ SY2148 )
!= ( c_List_Olist_OCons @ SY2149 @ SY2150 @ SY2148 ) )
| ~ ( hBOOL @ ( hAPP @ SV249 @ SY2149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1767,plain,
! [SV250: $i] :
( ( ! [SY2151: $i,SY2152: $i,SY2153: $i,SY2154: $i,SY2155: $i,SY2156: $i] :
( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SY2151 @ SY2152 @ SY2153 ) @ ( c_List_Olist_OCons @ SY2154 @ SY2155 @ SY2156 ) @ SY2153 @ SY2156 )
| ~ ( c_List_Olist__all2 @ SV250 @ SY2152 @ SY2155 @ SY2153 @ SY2156 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SY2151 ) @ SY2154 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1768,plain,
! [SV251: $i] :
( ( ! [SY2157: $i,SY2158: $i,SY2159: $i,SY2160: $i,SY2161: $i,SY2162: $i] :
( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SY2157 @ SY2158 @ SY2159 ) @ ( c_List_Olist_OCons @ SY2160 @ SY2161 @ SY2162 ) @ SY2159 @ SY2162 )
| ~ ( c_List_Olist__all2 @ SV251 @ SY2158 @ SY2161 @ SY2159 @ SY2162 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SY2157 ) @ SY2160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1769,plain,
! [SV252: $i] :
( ( ! [SY2163: $i,SY2164: $i,SY2165: $i,SY2166: $i,SY2167: $i,SY2168: $i] :
( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SY2163 @ SY2164 @ SY2165 ) @ ( c_List_Olist_OCons @ SY2166 @ SY2167 @ SY2168 ) @ SY2165 @ SY2168 )
| ~ ( c_List_Olist__all2 @ SV252 @ SY2164 @ SY2167 @ SY2165 @ SY2168 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SY2163 ) @ SY2166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1325]) ).
thf(1770,plain,
! [SV253: $i] :
( ( ! [SY2169: $i,SY2170: $i,SY2171: $i] :
( ( c_List_Olist__ex @ SV253 @ ( c_List_Olist_OCons @ SY2169 @ SY2170 @ SY2171 ) @ SY2171 )
| ~ ( c_List_Olist__ex @ SV253 @ SY2170 @ SY2171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1771,plain,
! [SV254: $i] :
( ( ! [SY2172: $i,SY2173: $i] :
( ( c_List_Olist__ex @ SV254 @ SY2172 @ SY2173 )
| ! [SY2174: $i] :
( ( hBOOL @ ( hAPP @ SV254 @ SY2174 ) )
| ~ ( c_List_Olist__ex @ SV254 @ ( c_List_Olist_OCons @ SY2174 @ SY2172 @ SY2173 ) @ SY2173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1772,plain,
! [SV255: $i] :
( ( ! [SY2175: $i,SY2176: $i,SY2177: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV255 @ ( tc_List_Olist @ SY2175 ) )
= ( c_Nat_Osize__class_Osize @ SY2176 @ ( tc_List_Olist @ SY2177 ) ) )
| ! [SY2178: $i] :
~ ( c_List_Olist__all2 @ SY2178 @ SV255 @ SY2176 @ SY2175 @ SY2177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1773,plain,
! [SV256: $i] :
( ( ! [SY2179: $i,SY2180: $i] :
( ! [SY2181: $i] :
( ( c_List_Ofilter @ SV256 @ ( c_List_Oreplicate @ SY2179 @ SY2180 @ SY2181 ) @ SY2181 )
= ( c_List_Oreplicate @ SY2179 @ SY2180 @ SY2181 ) )
| ~ ( hBOOL @ ( hAPP @ SV256 @ SY2180 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1329]) ).
thf(1774,plain,
! [SV257: $i] :
( ( ! [SY2182: $i,SY2183: $i,SY2184: $i,SY2185: $i,SY2186: $i] :
( ( c_List_Olistrelp @ SV257 @ ( c_List_Olist_OCons @ SY2182 @ SY2183 @ SY2184 ) @ ( c_List_Olist_OCons @ SY2185 @ SY2186 @ SY2184 ) @ SY2184 )
| ~ ( c_List_Olistrelp @ SV257 @ SY2183 @ SY2186 @ SY2184 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV257 @ SY2182 ) @ SY2185 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1330]) ).
thf(1775,plain,
! [SV258: $i] :
( ( ! [SY2187: $i] :
( ! [SY2188: $i,SY2189: $i] :
( ( c_List_Oremove1 @ SV258 @ ( c_List_Olist_OCons @ SY2187 @ SY2188 @ SY2189 ) @ SY2189 )
= ( c_List_Olist_OCons @ SY2187 @ ( c_List_Oremove1 @ SV258 @ SY2188 @ SY2189 ) @ SY2189 ) )
| ( SV258 = SY2187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1776,plain,
! [SV259: $i] :
( ( ! [SY2190: $i,SY2191: $i] :
( ( c_List_Odistinct @ ( c_List_Osublist @ SV259 @ SY2190 @ SY2191 ) @ SY2191 )
| ~ ( c_List_Odistinct @ SV259 @ SY2191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1777,plain,
! [SV260: $i] :
( ( ! [SY2192: $i,SY2193: $i,SY2194: $i,SY2195: $i] :
( ( ( c_List_Omap @ SV260 @ SY2192 @ SY2193 @ SY2194 )
!= ( c_List_Omap @ SV260 @ SY2195 @ SY2193 @ SY2194 ) )
| ( ( c_Nat_Osize__class_Osize @ SY2192 @ ( tc_List_Olist @ SY2193 ) )
= ( c_Nat_Osize__class_Osize @ SY2195 @ ( tc_List_Olist @ SY2193 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1778,plain,
! [SV261: $i] :
( ( ! [SY2196: $i,SY2197: $i,SY2198: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV261 @ ( tc_List_Olist @ SY2196 ) )
!= ( c_Nat_Osize__class_Osize @ SY2197 @ ( tc_List_Olist @ SY2198 ) ) )
| ! [SY2199: $i,SY2200: $i] :
( ( c_Map_Omap__upds @ SY2199 @ ( c_List_Oappend @ SV261 @ SY2200 @ SY2196 ) @ SY2197 @ SY2196 @ SY2198 )
= ( c_Map_Omap__upds @ SY2199 @ SV261 @ SY2197 @ SY2196 @ SY2198 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1334]) ).
thf(1779,plain,
! [SV262: $i] :
( ( ! [SY2201: $i,SY2202: $i,SY2203: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV262 @ ( tc_List_Olist @ SY2201 ) )
!= ( c_Nat_Osize__class_Osize @ SY2202 @ ( tc_List_Olist @ SY2203 ) ) )
| ! [SY2204: $i,SY2205: $i] :
( ( c_Map_Omap__upds @ SY2204 @ SV262 @ ( c_List_Oappend @ SY2202 @ SY2205 @ SY2203 ) @ SY2201 @ SY2203 )
= ( c_Map_Omap__upds @ SY2204 @ SV262 @ SY2202 @ SY2201 @ SY2203 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1335]) ).
thf(1780,plain,
! [SV263: $i] :
( ( ! [SY2206: $i,SY2207: $i] :
( ( SV263
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV263 @ ( tc_List_Olist @ SY2206 ) ) @ SY2207 @ SY2206 ) )
| ( ( c_List_Oappend @ SV263 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV263 @ ( tc_List_Olist @ SY2206 ) ) @ SY2207 @ SY2206 ) @ SY2206 )
= SY2207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1781,plain,
! [SV264: $i] :
( ( ! [SY2208: $i,SY2209: $i] :
( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV264 @ SY2208 @ SY2209 ) @ SY2209 )
| ~ ( c_List_Odistinct @ SY2208 @ SY2209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1782,plain,
! [SV265: $i] :
( ( ! [SY2210: $i,SY2211: $i,SY2212: $i] :
( ( ( c_Event_Oevent_OGets @ SV265 @ SY2210 )
!= ( c_Event_Oevent_OGets @ SY2211 @ SY2212 ) )
| ( SY2210 = SY2212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1783,plain,
! [SV266: $i] :
( ( ! [SY2213: $i,SY2214: $i] :
( ! [SY2215: $i] :
( ( c_Event_Oevent_OGets @ SV266 @ SY2213 )
!= ( c_Event_Oevent_OGets @ SY2214 @ SY2215 ) )
| ( SV266 = SY2214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1784,plain,
! [SV267: $i] :
( ( ! [SY2216: $i,SY2217: $i,SY2218: $i,SY2219: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SY2216 ) )
!= ( c_Nat_Osize__class_Osize @ SY2217 @ ( tc_List_Olist @ SY2218 ) ) )
| ( c_List_Olist__all2 @ SY2219 @ SV267 @ SY2217 @ SY2216 @ SY2218 )
| ! [SY2220: $i,SY2221: $i] :
~ ( c_List_Olist__all2 @ SY2219 @ ( c_List_Oappend @ SV267 @ SY2220 @ SY2216 ) @ ( c_List_Oappend @ SY2217 @ SY2221 @ SY2218 ) @ SY2216 @ SY2218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1340]) ).
thf(1785,plain,
! [SV268: $i] :
( ( ! [SY2222: $i,SY2223: $i,SY2224: $i,SY2225: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SY2222 ) )
!= ( c_Nat_Osize__class_Osize @ SY2223 @ ( tc_List_Olist @ SY2224 ) ) )
| ! [SY2226: $i,SY2227: $i] :
( ( c_List_Olist__all2 @ SY2225 @ SY2226 @ SY2227 @ SY2222 @ SY2224 )
| ~ ( c_List_Olist__all2 @ SY2225 @ ( c_List_Oappend @ SV268 @ SY2226 @ SY2222 ) @ ( c_List_Oappend @ SY2223 @ SY2227 @ SY2224 ) @ SY2222 @ SY2224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1786,plain,
! [SV269: $i] :
( ( ! [SY2228: $i] :
( ! [SY2229: $i,SY2230: $i] :
( ( c_List_OdropWhile @ SV269 @ ( c_List_Olist_OCons @ SY2228 @ SY2229 @ SY2230 ) @ SY2230 )
= ( c_List_OdropWhile @ SV269 @ SY2229 @ SY2230 ) )
| ~ ( hBOOL @ ( hAPP @ SV269 @ SY2228 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1787,plain,
! [SV270: $i] :
( ( ! [SY2231: $i,SY2232: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate @ SV270 @ SY2231 @ SY2232 ) @ ( tc_List_Olist @ SY2232 ) )
= ( c_Nat_Osize__class_Osize @ SY2231 @ ( tc_List_Olist @ SY2232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1788,plain,
! [SV271: $i] :
( ( ! [SY2233: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate1 @ SV271 @ SY2233 ) @ ( tc_List_Olist @ SY2233 ) )
= ( c_Nat_Osize__class_Osize @ SV271 @ ( tc_List_Olist @ SY2233 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1789,plain,
! [SV272: $i] :
( ( ! [SY2234: $i,SY2235: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV272 @ SY2234 @ SY2235 ) @ SY2235 )
= ( c_List_Olast @ SY2234 @ SY2235 ) )
| ( SY2234
= ( c_List_Olist_ONil @ SY2235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1790,plain,
! [SV273: $i] :
( ( ! [SY2236: $i] :
( ! [SY2237: $i,SY2238: $i] :
( ( c_List_OdropWhile @ SV273 @ ( c_List_Olist_OCons @ SY2236 @ SY2237 @ SY2238 ) @ SY2238 )
= ( c_List_Olist_OCons @ SY2236 @ SY2237 @ SY2238 ) )
| ( hBOOL @ ( hAPP @ SV273 @ SY2236 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1791,plain,
! [SV274: $i] :
( ( ! [SY2239: $i,SY2240: $i,SY2241: $i,SY2242: $i] :
( ( c_List_Omap @ SV274 @ ( c_List_Oappend @ SY2239 @ SY2240 @ SY2241 ) @ SY2241 @ SY2242 )
= ( c_List_Oappend @ ( c_List_Omap @ SV274 @ SY2239 @ SY2241 @ SY2242 ) @ ( c_List_Omap @ SV274 @ SY2240 @ SY2241 @ SY2242 ) @ SY2242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1792,plain,
! [SV275: $i] :
( ( ! [SY2243: $i] :
( ! [SY2244: $i,SY2245: $i] :
~ ( hBOOL @ ( hAPP @ SV275 @ ( c_Message_Oagent_Oagent__case @ SY2243 @ SY2244 @ SY2245 @ c_Message_Oagent_OServer @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV275 @ SY2243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1793,plain,
! [SV276: $i] :
( ( ! [SY2246: $i,SY2247: $i,SY2248: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV276 @ SY2246 @ SY2247 ) @ ( c_List_Oreplicate @ SY2248 @ SY2246 @ SY2247 ) @ SY2247 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SY2248 @ SY2246 @ SY2247 ) @ ( c_List_Oreplicate @ SV276 @ SY2246 @ SY2247 ) @ SY2247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1794,plain,
! [SV277: $i] :
( ( ! [SY2249: $i,SY2250: $i,SY2251: $i,SY2252: $i,SY2253: $i] :
( ( c_List_Olist__all2 @ SV277 @ ( c_List_Odrop @ SY2249 @ SY2250 @ SY2251 ) @ ( c_List_Odrop @ SY2249 @ SY2252 @ SY2253 ) @ SY2251 @ SY2253 )
| ~ ( c_List_Olist__all2 @ SV277 @ SY2250 @ SY2252 @ SY2251 @ SY2253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1795,plain,
! [SV278: $i] :
( ( ! [SY2254: $i] :
( ( c_List_Oset @ ( c_List_Orotate1 @ SV278 @ SY2254 ) @ SY2254 )
= ( c_List_Oset @ SV278 @ SY2254 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1796,plain,
! [SV279: $i] :
( ( ! [SY2255: $i] :
( ! [SY2256: $i,SY2257: $i] :
( ( c_List_Oremove1 @ SV279 @ ( c_List_Ofilter @ SY2255 @ SY2256 @ SY2257 ) @ SY2257 )
= ( c_List_Ofilter @ SY2255 @ SY2256 @ SY2257 ) )
| ( hBOOL @ ( hAPP @ SY2255 @ SV279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1797,plain,
! [SV280: $i] :
( ( ! [SY2258: $i,SY2259: $i] :
( ! [SY2260: $i] :
( ( c_List_Ofilter @ SV280 @ ( c_List_Oreplicate @ SY2258 @ SY2259 @ SY2260 ) @ SY2260 )
= ( c_List_Olist_ONil @ SY2260 ) )
| ( hBOOL @ ( hAPP @ SV280 @ SY2259 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1798,plain,
! [SV281: $i] :
( ( ! [SY2261: $i,SY2262: $i,SY2263: $i,SY2264: $i,SY2265: $i] :
( ( c_List_Olist_Olist__rec @ SV281 @ SY2261 @ ( c_List_Olist_OCons @ SY2262 @ SY2263 @ SY2264 ) @ SY2265 @ SY2264 )
= ( hAPP @ ( hAPP @ ( hAPP @ SY2261 @ SY2262 ) @ SY2263 ) @ ( c_List_Olist_Olist__rec @ SV281 @ SY2261 @ SY2263 @ SY2265 @ SY2264 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1354]) ).
thf(1799,plain,
! [SV282: $i] :
( ( ! [SY2266: $i,SY2267: $i] :
( ( c_List_Oset @ ( c_List_Orotate @ SV282 @ SY2266 @ SY2267 ) @ SY2267 )
= ( c_List_Oset @ SY2266 @ SY2267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1800,plain,
! [SV283: $i] :
( ( ! [SY2268: $i] :
( ( c_List_Odistinct @ SV283 @ SY2268 )
| ! [SY2269: $i,SY2270: $i] :
~ ( c_List_Odistinct @ ( c_List_Omap @ SY2269 @ SV283 @ SY2268 @ SY2270 ) @ SY2270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1801,plain,
! [SV284: $i] :
( ( ! [SY2271: $i] :
( ( c_List_Olast @ ( c_List_Olist_OCons @ SV284 @ ( c_List_Olist_ONil @ SY2271 ) @ SY2271 ) @ SY2271 )
= SV284 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1357]) ).
thf(1802,plain,
! [SV285: $i] :
( ( ! [SY2272: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ SV285 @ ( c_List_Olist_ONil @ SY2272 ) @ SY2272 ) @ SY2272 )
= ( c_List_Olast @ SV285 @ SY2272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1803,plain,
! [SV286: $i] :
( ( ! [SY2273: $i] :
( ( c_List_Odistinct @ SV286 @ SY2273 )
| ! [SY2274: $i] :
~ ( c_List_Odistinct @ ( c_List_Orotate @ SY2274 @ SV286 @ SY2273 ) @ SY2273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1804,plain,
! [SV287: $i] :
( ( ! [SY2275: $i,SY2276: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate @ SV287 @ SY2275 @ SY2276 ) @ SY2276 )
| ~ ( c_List_Odistinct @ SY2275 @ SY2276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1805,plain,
! [SV288: $i] :
( ( ! [SY2277: $i,SY2278: $i,SY2279: $i] :
( ( c_List_Olistsp @ SV288 @ ( c_List_Oappend @ SY2277 @ SY2278 @ SY2279 ) @ SY2279 )
| ~ ( c_List_Olistsp @ SV288 @ SY2278 @ SY2279 )
| ~ ( c_List_Olistsp @ SV288 @ SY2277 @ SY2279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1361]) ).
thf(1806,plain,
! [SV289: $i] :
( ( ! [SY2280: $i,SY2281: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Oreplicate @ SV289 @ SY2280 @ SY2281 ) @ ( tc_List_Olist @ SY2281 ) )
= SV289 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1807,plain,
! [SV290: $i] :
( ( ! [SY2282: $i,SY2283: $i,SY2284: $i,SY2285: $i] :
( ~ ( hBOOL @ ( hAPP @ SV290 @ ( c_Message_Oagent_Oagent__case @ SY2282 @ SY2283 @ SY2284 @ ( c_Message_Oagent_OFriend @ SY2285 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV290 @ ( hAPP @ SY2283 @ SY2285 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1363]) ).
thf(1808,plain,
! [SV291: $i] :
( ( ! [SY2286: $i,SY2287: $i,SY2288: $i,SY2289: $i] :
( ~ ( hBOOL @ ( hAPP @ SV291 @ ( c_Message_Oagent_Oagent__case @ SY2286 @ SY2287 @ SY2288 @ ( c_Message_Oagent_OFriend @ SY2289 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV291 @ ( hAPP @ SY2287 @ SY2289 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1809,plain,
! [SV292: $i] :
( ( ! [SY2290: $i,SY2291: $i] :
~ ( c_List_Onull @ ( c_List_Olist_OCons @ SV292 @ SY2290 @ SY2291 ) @ SY2291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1365]) ).
thf(1810,plain,
! [SV293: $i] :
( ( ! [SY2292: $i,SY2293: $i,SY2294: $i,SY2295: $i,SY2296: $i] :
( ( c_List_Ofoldr @ SV293 @ ( c_List_Olist_OCons @ SY2292 @ SY2293 @ SY2294 ) @ SY2295 @ SY2294 @ SY2296 )
= ( hAPP @ ( hAPP @ SV293 @ SY2292 ) @ ( c_List_Ofoldr @ SV293 @ SY2293 @ SY2295 @ SY2294 @ SY2296 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1811,plain,
! [SV294: $i] :
( ( ! [SY2297: $i,SY2298: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ SV294 @ ( c_List_Olist_OCons @ SY2297 @ ( c_List_Olist_ONil @ SY2298 ) @ SY2298 ) @ SY2298 ) @ SY2298 )
= SY2297 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1812,plain,
! [SV295: $i] :
( ( ! [SY2299: $i,SY2300: $i,SY2301: $i,SY2302: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV295 @ SY2299 @ SY2300 @ ( c_Message_Oagent_OFriend @ SY2301 ) @ SY2302 )
= ( hAPP @ SY2299 @ SY2301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1813,plain,
! [SV296: $i] :
( ( ! [SY2303: $i,SY2304: $i,SY2305: $i,SY2306: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ SV296 @ ( c_List_Olist_OCons @ SY2303 @ SY2304 @ SY2305 ) @ SY2305 ) @ ( c_Nat_Osize__class_Osize @ SV296 @ ( tc_List_Olist @ SY2305 ) ) @ SY2306 @ SY2305 )
= ( c_List_Oappend @ SV296 @ ( c_List_Olist_OCons @ SY2306 @ SY2304 @ SY2305 ) @ SY2305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1814,plain,
! [SV297: $i] :
( ( ! [SY2307: $i,SY2308: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV297 ) @ ( c_List_Olist_OCons @ SY2307 @ SY2308 @ SV297 ) @ SV297 )
= ( c_List_Olist_OCons @ SY2307 @ SY2308 @ SV297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1815,plain,
! [SV298: $i] :
( ( ! [SY2309: $i] : ( c_List_Odistinct @ ( c_List_Oremdups @ SV298 @ SY2309 ) @ SY2309 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(1816,plain,
! [SV299: $i] :
( ( ! [SY2310: $i,SY2311: $i,SY2312: $i] :
( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SY2310 ) ) @ SY2311 @ SY2310 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY2311 @ ( tc_List_Olist @ SY2310 ) ) @ SV299 @ SY2310 ) @ SY2312 @ SY2310 ) @ SY2310 )
!= SY2312 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SY2310 ) ) @ SY2311 @ SY2310 )
!= SV299 )
| ( SY2311
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SY2311 @ ( tc_List_Olist @ SY2310 ) ) @ SV299 @ SY2310 ) )
| ( ( c_List_Oappend @ SY2311 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY2311 @ ( tc_List_Olist @ SY2310 ) ) @ SV299 @ SY2310 ) @ SY2312 @ SY2310 ) @ SY2310 )
= ( c_List_Oappend @ SV299 @ SY2312 @ SY2310 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1817,plain,
! [SV300: $i] :
( ( ! [SY2313: $i,SY2314: $i,SY2315: $i] :
( ! [SY2316: $i] :
( ( c_List_Olist_OCons @ SV300 @ SY2313 @ SY2314 )
!= ( c_List_Olist_OCons @ SY2315 @ SY2316 @ SY2314 ) )
| ( SV300 = SY2315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1818,plain,
! [SV301: $i] :
( ( ! [SY2317: $i,SY2318: $i,SY2319: $i,SY2320: $i] :
( ( ( c_List_Olist_OCons @ SV301 @ SY2317 @ SY2318 )
!= ( c_List_Olist_OCons @ SY2319 @ SY2320 @ SY2318 ) )
| ( SY2317 = SY2320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1819,plain,
! [SV302: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV302 )
| ! [SY2321: $i] :
( ( c_List_Olinorder__class_Osorted @ SY2321 @ SV302 )
| ! [SY2322: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2321 @ SY2322 @ SV302 ) @ SV302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1375]) ).
thf(1820,plain,
! [SV303: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV303 )
| ! [SY2323: $i] :
( ( c_List_Olinorder__class_Osorted @ SY2323 @ SV303 )
| ! [SY2324: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2324 @ SY2323 @ SV303 ) @ SV303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1821,plain,
! [SV304: $i] :
( ( ! [SY2325: $i,SY2326: $i,SY2327: $i] :
( ( c_List_Olist__all @ SV304 @ ( c_List_Olist_OCons @ SY2325 @ SY2326 @ SY2327 ) @ SY2327 )
| ~ ( c_List_Olist__all @ SV304 @ SY2326 @ SY2327 )
| ~ ( hBOOL @ ( hAPP @ SV304 @ SY2325 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1377]) ).
thf(1822,plain,
! [SV305: $i] :
( ( ! [SY2328: $i,SY2329: $i,SY2330: $i,SY2331: $i] :
( ! [SY2332: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SY2328 @ SY2329 @ SY2330 ) @ SY2331 @ SY2332 @ SY2330 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SY2331 @ SY2332 @ SY2330 ) @ SY2328 @ SY2329 @ SY2330 ) )
| ( SY2328 = SY2331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1823,plain,
! [SV306: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV306 )
| ! [SY2333: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SY2333 @ SV306 ) @ SV306 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2333 @ SV306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1824,plain,
! [SV307: $i] :
( ( ! [SY2334: $i,SY2335: $i,SY2336: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV307 @ SY2334 @ SY2335 ) @ ( c_List_Olist_OCons @ SY2334 @ SY2336 @ SY2335 ) @ SY2335 )
= ( c_List_Olist_OCons @ SY2334 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV307 @ SY2334 @ SY2335 ) @ SY2336 @ SY2335 ) @ SY2335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1825,plain,
! [SV308: $i] :
( ( ! [SY2337: $i,SY2338: $i,SY2339: $i,SY2340: $i] :
( ( c_List_Odrop @ SV308 @ ( c_List_Omap @ SY2337 @ SY2338 @ SY2339 @ SY2340 ) @ SY2340 )
= ( c_List_Omap @ SY2337 @ ( c_List_Odrop @ SV308 @ SY2338 @ SY2339 ) @ SY2339 @ SY2340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1826,plain,
! [SV309: $i] :
( ( ! [SY2341: $i] :
( ( c_List_Ohd @ ( c_List_Oappend @ ( c_List_Olist_ONil @ SV309 ) @ SY2341 @ SV309 ) @ SV309 )
= ( c_List_Ohd @ SY2341 @ SV309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(1827,plain,
! [SV310: $i] :
( ( ! [SY2342: $i,SY2343: $i,SY2344: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV310 @ SY2342 @ SY2343 @ c_Message_Oagent_OServer @ SY2344 )
= SV310 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1828,plain,
! [SV311: $i] :
( ( ! [SY2345: $i] :
( ! [SY2346: $i,SY2347: $i] :
( ( c_List_Ofilter @ SV311 @ ( c_List_Olist_OCons @ SY2345 @ SY2346 @ SY2347 ) @ SY2347 )
= ( c_List_Ofilter @ SV311 @ SY2346 @ SY2347 ) )
| ( hBOOL @ ( hAPP @ SV311 @ SY2345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(1829,plain,
! [SV312: $i] :
( ( ! [SY2348: $i,SY2349: $i] :
( ( c_List_Ohd @ ( c_List_Olist_OCons @ SV312 @ SY2348 @ SY2349 ) @ SY2349 )
= SV312 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(1830,plain,
! [SV313: $i] :
( ( ! [SY2350: $i] : ( c_List_Olist__all2 @ ( c_fequal @ SV313 ) @ SY2350 @ SY2350 @ SV313 @ SV313 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1386]) ).
thf(1831,plain,
! [SV314: $i] :
( ( ! [SY2351: $i,SY2352: $i,SY2353: $i] :
( ! [SY2354: $i] :
( ( c_List_Oappend @ SV314 @ ( c_List_Olist_OCons @ SY2351 @ ( c_List_Olist_ONil @ SY2352 ) @ SY2352 ) @ SY2352 )
!= ( c_List_Oappend @ SY2353 @ ( c_List_Olist_OCons @ SY2354 @ ( c_List_Olist_ONil @ SY2352 ) @ SY2352 ) @ SY2352 ) )
| ( SV314 = SY2353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1832,plain,
! [SV315: $i] :
( ( ! [SY2355: $i,SY2356: $i,SY2357: $i,SY2358: $i] :
( ( ( c_List_Oappend @ SV315 @ ( c_List_Olist_OCons @ SY2355 @ ( c_List_Olist_ONil @ SY2356 ) @ SY2356 ) @ SY2356 )
!= ( c_List_Oappend @ SY2357 @ ( c_List_Olist_OCons @ SY2358 @ ( c_List_Olist_ONil @ SY2356 ) @ SY2356 ) @ SY2356 ) )
| ( SY2355 = SY2358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1833,plain,
! [SV316: $i] :
( ( ! [SY2359: $i,SY2360: $i] :
( ( c_List_Olist__all @ SV316 @ SY2359 @ SY2360 )
| ! [SY2361: $i] :
~ ( c_List_Olist__all @ SV316 @ ( c_List_Oappend @ SY2359 @ SY2361 @ SY2360 ) @ SY2360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1389]) ).
thf(1834,plain,
! [SV317: $i] :
( ( ! [SY2362: $i,SY2363: $i] :
( ( c_List_Olist__all @ SV317 @ SY2362 @ SY2363 )
| ! [SY2364: $i] :
~ ( c_List_Olist__all @ SV317 @ ( c_List_Oappend @ SY2364 @ SY2362 @ SY2363 ) @ SY2363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1835,plain,
! [SV318: $i] :
( ( ! [SY2365: $i,SY2366: $i] :
( ( c_List_Orotate1 @ ( c_List_Orotate @ SV318 @ SY2365 @ SY2366 ) @ SY2366 )
= ( c_List_Orotate @ SV318 @ ( c_List_Orotate1 @ SY2365 @ SY2366 ) @ SY2366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(1836,plain,
! [SV319: $i] :
( ( ! [SY2367: $i,SY2368: $i,SY2369: $i,SY2370: $i] :
( ~ ( hBOOL @ ( hAPP @ SV319 @ ( c_List_Olist_Olist__case @ SY2367 @ SY2368 @ ( c_List_Olist_OCons @ SY2369 @ SY2370 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV319 @ ( hAPP @ ( hAPP @ SY2368 @ SY2369 ) @ SY2370 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(1837,plain,
! [SV320: $i] :
( ( ! [SY2371: $i,SY2372: $i,SY2373: $i,SY2374: $i] :
( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_List_Olist_Olist__case @ SY2371 @ SY2372 @ ( c_List_Olist_OCons @ SY2373 @ SY2374 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV320 @ ( hAPP @ ( hAPP @ SY2372 @ SY2373 ) @ SY2374 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(1838,plain,
! [SV321: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV321 )
| ! [SY2375: $i,SY2376: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SY2375 @ SY2376 @ SV321 ) @ SV321 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2376 @ SV321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(1839,plain,
! [SV322: $i] :
( ( ! [SY2377: $i,SY2378: $i,SY2379: $i,SY2380: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV322 @ SY2377 @ SY2378 @ SY2379 ) @ SY2377 @ SY2380 @ SY2379 )
= ( c_List_Olist__update @ SV322 @ SY2377 @ SY2380 @ SY2379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(1840,plain,
! [SV323: $i] :
( ( ! [SY2381: $i,SY2382: $i,SY2383: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV323 @ SY2381 @ SY2382 ) @ SY2383 @ SY2382 )
= ( c_List_Oappend @ SV323 @ ( c_List_Oappend @ SY2381 @ SY2383 @ SY2382 ) @ SY2382 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1396]) ).
thf(1841,plain,
! [SV324: $i] :
( ( ! [SY2384: $i,SY2385: $i,SY2386: $i] :
( ( c_List_Oappend @ SV324 @ ( c_List_Oappend @ SY2384 @ SY2385 @ SY2386 ) @ SY2386 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV324 @ SY2384 @ SY2386 ) @ SY2385 @ SY2386 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1842,plain,
! [SV325: $i] :
( ( ! [SY2387: $i,SY2388: $i,SY2389: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV325 @ SY2387 @ SY2388 ) @ SY2389 @ SY2388 )
= ( c_List_Oappend @ SV325 @ ( c_List_Oappend @ SY2387 @ SY2389 @ SY2388 ) @ SY2388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(1843,plain,
! [SV326: $i] :
( ( ! [SY2390: $i,SY2391: $i,SY2392: $i] :
( ( c_List_Oappend @ SV326 @ ( c_List_Oappend @ SY2390 @ SY2391 @ SY2392 ) @ SY2392 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV326 @ SY2390 @ SY2392 ) @ SY2391 @ SY2392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1844,plain,
! [SV327: $i] :
( ( ! [SY2393: $i] :
( ( c_List_Oset @ ( c_List_Oremdups @ SV327 @ SY2393 ) @ SY2393 )
= ( c_List_Oset @ SV327 @ SY2393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1400]) ).
thf(1845,plain,
! [SV328: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV328 )
| ! [SY2394: $i,SY2395: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SY2394 @ SY2395 @ SV328 ) @ SV328 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2395 @ SV328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1846,plain,
! [SV329: $i] :
( ( ! [SY2396: $i,SY2397: $i,SY2398: $i] :
( ( c_List_Ofoldl @ SV329 @ SY2396 @ ( c_List_Olist_ONil @ SY2397 ) @ SY2398 @ SY2397 )
= SY2396 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(1847,plain,
! [SV330: $i] :
( ( ! [SY2399: $i] : ( hBOOL @ ( hAPP @ SV330 @ SY2399 ) )
| ( hBOOL @ ( hAPP @ SV330 @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV330 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV330 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1403]) ).
thf(1848,plain,
! [SV331: $i] :
( ( ( c_List_Oremdups @ ( c_List_Olist_ONil @ SV331 ) @ SV331 )
= ( c_List_Olist_ONil @ SV331 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1849,plain,
! [SV332: $i] :
( ( ! [SY2400: $i] :
( ( c_List_Odrop @ SV332 @ ( c_List_Olist_ONil @ SY2400 ) @ SY2400 )
= ( c_List_Olist_ONil @ SY2400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1405]) ).
thf(1850,plain,
! [SV333: $i] :
( ( ! [SY2401: $i,SY2402: $i,SY2403: $i] :
( ( ( c_List_Olist_ONil @ SV333 )
!= ( c_List_Omap @ SY2401 @ SY2402 @ SY2403 @ SV333 ) )
| ( SY2402
= ( c_List_Olist_ONil @ SY2403 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1851,plain,
! [SV334: $i] :
( ( ! [SY2404: $i] : ( hBOOL @ ( hAPP @ SV334 @ SY2404 ) )
| ( hBOOL @ ( hAPP @ SV334 @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV334 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV334 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1852,plain,
! [SV335: $i] :
( ( ! [SY2405: $i] :
( ( c_List_Olist__inter @ ( c_List_Olist_ONil @ SV335 ) @ SY2405 @ SV335 )
= ( c_List_Olist_ONil @ SV335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(1853,plain,
! [SV336: $i] :
( ( ! [SY2406: $i] :
( ( c_List_OdropWhile @ SV336 @ ( c_List_Olist_ONil @ SY2406 ) @ SY2406 )
= ( c_List_Olist_ONil @ SY2406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1854,plain,
! [SV337: $i] :
( ( ! [SY2407: $i] :
( SV337
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2407 ) @ SV337 @ SY2407 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1410]) ).
thf(1855,plain,
! [SV338: $i] :
( ( ! [SY2408: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV338 ) @ SY2408 @ SV338 )
= SY2408 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(1856,plain,
! [SV339: $i] :
( ( ! [SY2409: $i] :
( SV339
= ( c_List_Oappend @ SV339 @ ( c_List_Olist_ONil @ SY2409 ) @ SY2409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1857,plain,
! [SV340: $i] :
( ( ! [SY2410: $i] :
( SV340
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2410 ) @ SV340 @ SY2410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1858,plain,
! [SV341: $i] :
( ( ! [SY2411: $i] :
( ( c_List_Oappend @ SV341 @ ( c_List_Olist_ONil @ SY2411 ) @ SY2411 )
= SV341 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(1859,plain,
! [SV342: $i] :
( ( ! [SY2412: $i] :
( ( ( c_List_Orotate1 @ SV342 @ SY2412 )
!= ( c_List_Olist_ONil @ SY2412 ) )
| ( SV342
= ( c_List_Olist_ONil @ SY2412 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1415]) ).
thf(1860,plain,
! [SV343: $i] :
( ( ! [SY2413: $i] : ( hBOOL @ ( hAPP @ SV343 @ SY2413 ) )
| ( hBOOL @ ( hAPP @ SV343 @ ( v_sko__List__Xlast__Xinduct__2 @ SV343 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV343 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(1861,plain,
! [SV344: $i] :
( ( ! [SY2414: $i] :
( ( c_List_Otake @ SV344 @ ( c_List_Olist_ONil @ SY2414 ) @ SY2414 )
= ( c_List_Olist_ONil @ SY2414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1417]) ).
thf(1862,plain,
! [SV345: $i] :
( ( ! [SY2415: $i] : ( hBOOL @ ( hAPP @ SV345 @ SY2415 ) )
| ( hBOOL @ ( hAPP @ SV345 @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV345 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV345 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1418]) ).
thf(1863,plain,
! [SV346: $i] :
( ( ! [SY2416: $i] : ( c_List_Olistsp @ SV346 @ ( c_List_Olist_ONil @ SY2416 ) @ SY2416 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1419]) ).
thf(1864,plain,
! [SV347: $i] :
( ( ! [SY2417: $i] : ( hBOOL @ ( hAPP @ SV347 @ SY2417 ) )
| ( hBOOL @ ( hAPP @ SV347 @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV347 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV347 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(1865,plain,
! [SV348: $i] :
( ( ! [SY2418: $i] : ( hBOOL @ ( hAPP @ SV348 @ SY2418 ) )
| ( hBOOL @ ( hAPP @ SV348 @ ( v_sko__List__Xfoldl__Xinduct__2 @ SV348 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV348 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1421]) ).
thf(1866,plain,
! [SV349: $i] :
( ( ! [SY2419: $i] : ( c_List_Olist__all @ SV349 @ ( c_List_Olist_ONil @ SY2419 ) @ SY2419 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(1867,plain,
! [SV350: $i] :
( ( ( c_List_Orotate1 @ ( c_List_Olist_ONil @ SV350 ) @ SV350 )
= ( c_List_Olist_ONil @ SV350 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1423]) ).
thf(1868,plain,
! [SV351: $i] :
( ( ! [SY2420: $i] :
~ ( c_List_Olist__ex @ SV351 @ ( c_List_Olist_ONil @ SY2420 ) @ SY2420 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1424]) ).
thf(1869,plain,
! [SV352: $i] :
( ( c_List_Onull @ ( c_List_Olist_ONil @ SV352 ) @ SV352 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1425]) ).
thf(1870,plain,
! [SV353: $i] :
( ( ! [SY2421: $i] :
( ! [SY2422: $i] :
~ ( hBOOL @ ( hAPP @ SV353 @ ( c_List_Olist_Olist__case @ SY2421 @ SY2422 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV353 @ SY2421 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(1871,plain,
! [SV354: $i] :
( ( ! [SY2423: $i,SY2424: $i,SY2425: $i] :
( ( c_List_Ofoldr @ SV354 @ ( c_List_Olist_ONil @ SY2423 ) @ SY2424 @ SY2423 @ SY2425 )
= SY2424 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1872,plain,
! [SV355: $i] :
( ( ! [SY2426: $i] : ( hBOOL @ ( hAPP @ SV355 @ SY2426 ) )
| ( hBOOL @ ( hAPP @ SV355 @ ( v_sko__List__Xzip__Xinduct__2 @ SV355 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV355 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(1873,plain,
! [SV356: $i] :
( ( ! [SY2427: $i,SY2428: $i] :
( ( c_List_Omap @ SV356 @ ( c_List_Olist_ONil @ SY2427 ) @ SY2427 @ SY2428 )
= ( c_List_Olist_ONil @ SY2428 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1429]) ).
thf(1874,plain,
! [SV357: $i] :
( ( ! [SY2429: $i] :
( ( c_List_Osublist @ ( c_List_Olist_ONil @ SV357 ) @ SY2429 @ SV357 )
= ( c_List_Olist_ONil @ SV357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1430]) ).
thf(1875,plain,
! [SV358: $i] :
( ( ! [SY2430: $i] : ( hBOOL @ ( hAPP @ SV358 @ SY2430 ) )
| ( hBOOL @ ( hAPP @ SV358 @ ( v_sko__List__Xlistset__Xinduct__2 @ SV358 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV358 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1431]) ).
thf(1876,plain,
! [SV359: $i] :
( ( ! [SY2431: $i,SY2432: $i,SY2433: $i] :
( ( c_List_Olist_Olist__rec @ SV359 @ SY2431 @ ( c_List_Olist_ONil @ SY2432 ) @ SY2433 @ SY2432 )
= SV359 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1432]) ).
thf(1877,plain,
! [SV360: $i] :
( ( ! [SY2434: $i] : ( hBOOL @ ( hAPP @ SV360 @ SY2434 ) )
| ( hBOOL @ ( hAPP @ SV360 @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV360 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV360 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1433]) ).
thf(1878,plain,
! [SV361: $i] :
( ( ! [SY2435: $i] : ( hBOOL @ ( hAPP @ SV361 @ SY2435 ) )
| ( hBOOL @ ( hAPP @ SV361 @ ( v_sko__List__Xtake__Xinduct__2 @ SV361 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV361 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1434]) ).
thf(1879,plain,
! [SV362: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV362 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV362 ) @ SV362 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1435]) ).
thf(1880,plain,
! [SV363: $i] :
( ( ! [SY2436: $i,SY2437: $i] :
( ( c_List_Ofiltermap @ SV363 @ ( c_List_Olist_ONil @ SY2436 ) @ SY2436 @ SY2437 )
= ( c_List_Olist_ONil @ SY2437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1436]) ).
thf(1881,plain,
! [SV364: $i] :
( ( ! [SY2438: $i] :
( ( ( c_List_Olist_ONil @ SV364 )
!= ( c_List_Oremdups @ SY2438 @ SV364 ) )
| ( SY2438
= ( c_List_Olist_ONil @ SV364 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1437]) ).
thf(1882,plain,
! [SV365: $i] :
( ( ! [SY2439: $i] :
( ( c_List_Ofilter @ SV365 @ ( c_List_Olist_ONil @ SY2439 ) @ SY2439 )
= ( c_List_Olist_ONil @ SY2439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1438]) ).
thf(1883,plain,
! [SV366: $i] :
( ( ! [SY2440: $i,SY2441: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV366 ) @ SY2440 @ SY2441 @ SV366 )
= ( c_List_Olist_ONil @ SV366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1884,plain,
! [SV367: $i] :
( ( ! [SY2442: $i,SY2443: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV367 ) @ SY2442 @ SY2443 @ SV367 )
= ( c_List_Olist_ONil @ SV367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1885,plain,
! [SV368: $i] :
( ( ! [SY2444: $i,SY2445: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV368 ) @ SY2444 @ SY2445 @ SV368 )
= ( c_List_Olist_ONil @ SV368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(1886,plain,
! [SV369: $i] :
( ( ! [SY2446: $i] : ( hBOOL @ ( hAPP @ SV369 @ SY2446 ) )
| ( hBOOL @ ( hAPP @ SV369 @ ( v_sko__List__Xconcat__Xinduct__2 @ SV369 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV369 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(1887,plain,
! [SV370: $i] :
( ( ! [SY2447: $i,SY2448: $i] :
( ( c_List_Olist_OCons @ SV370 @ SY2447 @ SY2448 )
!= ( c_List_Olist_ONil @ SY2448 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1443]) ).
thf(1888,plain,
! [SV371: $i] :
( ( ! [SY2449: $i,SY2450: $i] :
( ( c_List_Olist_OCons @ SV371 @ SY2449 @ SY2450 )
!= ( c_List_Olist_ONil @ SY2450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(1889,plain,
! [SV372: $i] :
( ( ! [SY2451: $i] :
( ( c_List_Oremove1 @ SV372 @ ( c_List_Olist_ONil @ SY2451 ) @ SY2451 )
= ( c_List_Olist_ONil @ SY2451 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1445]) ).
thf(1890,plain,
! [SV373: $i] :
( ( ! [SY2452: $i] : ( hBOOL @ ( hAPP @ SV373 @ SY2452 ) )
| ( hBOOL @ ( hAPP @ SV373 @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV373 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV373 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1446]) ).
thf(1891,plain,
! [SV374: $i] :
( ( ! [SY2453: $i,SY2454: $i,SY2455: $i] :
( ( c_Map_Omap__upds @ SV374 @ SY2453 @ ( c_List_Olist_ONil @ SY2454 ) @ SY2455 @ SY2454 )
= SV374 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(1892,plain,
! [SV375: $i] :
( ( ! [SY2456: $i,SY2457: $i,SY2458: $i] :
( ( c_Map_Omap__upds @ SV375 @ ( c_List_Olist_ONil @ SY2456 ) @ SY2457 @ SY2456 @ SY2458 )
= SV375 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1448]) ).
thf(1893,plain,
! [SV376: $i] :
( ( ! [SY2459: $i] : ( hBOOL @ ( hAPP @ SV376 @ SY2459 ) )
| ( hBOOL @ ( hAPP @ SV376 @ ( v_sko__List__Xremove1__Xinduct__2 @ SV376 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV376 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1894,plain,
! [SV377: $i] :
( ( ! [SY2460: $i,SY2461: $i,SY2462: $i] :
( ( c_List_Olist_Olist__case @ SV377 @ SY2460 @ ( c_List_Olist_ONil @ SY2461 ) @ SY2462 @ SY2461 )
= SV377 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(1895,plain,
! [SV378: $i] :
( ( ! [SY2463: $i] :
( ( c_List_Orotate @ SV378 @ ( c_List_Olist_ONil @ SY2463 ) @ SY2463 )
= ( c_List_Olist_ONil @ SY2463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1896,plain,
! [SV379: $i] :
( ( ! [SY2464: $i] : ( hBOOL @ ( hAPP @ SV379 @ SY2464 ) )
| ( hBOOL @ ( hAPP @ SV379 @ ( v_sko__List__Xlist__Xinduct__2 @ SV379 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV379 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1897,plain,
! [SV380: $i] :
( ( ! [SY2465: $i,SY2466: $i] :
( ( c_List_Olist_ONil @ SV380 )
= ( c_List_Omap @ SY2465 @ ( c_List_Olist_ONil @ SY2466 ) @ SY2466 @ SV380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(1898,plain,
! [SV381: $i] :
( ( ( c_List_Olist_ONil @ SV381 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV381 ) @ ( c_List_Olist_ONil @ SV381 ) @ SV381 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(1899,plain,
! [SV382: $i] :
( ( ! [SY2467: $i] : ( c_List_Olistrelp @ SV382 @ ( c_List_Olist_ONil @ SY2467 ) @ ( c_List_Olist_ONil @ SY2467 ) @ SY2467 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(1900,plain,
! [SV383: $i] :
( ( ! [SY2468: $i] : ( hBOOL @ ( hAPP @ SV383 @ SY2468 ) )
| ( hBOOL @ ( hAPP @ SV383 @ ( v_sko__List__Xmap__Xinduct__2 @ SV383 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV383 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(1901,plain,
! [SV384: $i] :
( ( ! [SY2469: $i,SY2470: $i,SY2471: $i] :
( ( ( c_List_Olist__update @ SV384 @ SY2469 @ SY2470 @ SY2471 )
!= ( c_List_Olist_ONil @ SY2471 ) )
| ( SV384
= ( c_List_Olist_ONil @ SY2471 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(1902,plain,
! [SV385: $i] :
( ( ! [SY2472: $i] :
( ( ( c_List_Ohd @ ( hAPP @ ( c_List_Orev @ SV385 ) @ SY2472 ) @ SV385 )
= ( c_List_Olast @ SY2472 @ SV385 ) )
| ( SY2472
= ( c_List_Olist_ONil @ SV385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(1903,plain,
! [SV386: $i] :
( ( ! [SY2473: $i] :
( ( ( c_List_Olast @ ( hAPP @ ( c_List_Orev @ SV386 ) @ SY2473 ) @ SV386 )
= ( c_List_Ohd @ SY2473 @ SV386 ) )
| ( SY2473
= ( c_List_Olist_ONil @ SV386 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(1904,plain,
! [SV387: $i] :
( ( ! [SY2474: $i,SY2475: $i] :
( ( hAPP @ ( c_List_Orev @ SV387 ) @ ( c_List_Olist_OCons @ SY2474 @ SY2475 @ SV387 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV387 ) @ SY2475 ) @ ( c_List_Olist_OCons @ SY2474 @ ( c_List_Olist_ONil @ SV387 ) @ SV387 ) @ SV387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1460]) ).
thf(1905,plain,
! [SV388: $i] :
( ( ! [SY2476: $i,SY2477: $i,SY2478: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV388 ) @ SY2476 )
!= ( c_List_Olist_OCons @ SY2477 @ SY2478 @ SV388 ) )
| ( SY2476
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV388 ) @ SY2478 ) @ ( c_List_Olist_OCons @ SY2477 @ ( c_List_Olist_ONil @ SV388 ) @ SV388 ) @ SV388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1906,plain,
! [SV389: $i] :
( ( ! [SY2479: $i,SY2480: $i] :
( ( hAPP @ ( c_List_Orev @ SV389 ) @ ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV389 ) @ SY2479 ) @ ( c_List_Olist_OCons @ SY2480 @ ( c_List_Olist_ONil @ SV389 ) @ SV389 ) @ SV389 ) )
= ( c_List_Olist_OCons @ SY2480 @ SY2479 @ SV389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(1907,plain,
! [SV390: $i] :
( ( ! [SY2481: $i,SY2482: $i,SY2483: $i] :
( ( c_Message_Oagent_Oagent__case @ SV390 @ SY2481 @ SY2482 @ c_Message_Oagent_OSpy @ SY2483 )
= SY2482 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1463]) ).
thf(1908,plain,
! [SV391: $i] :
( ( ( c_Message_Oagent_OFriend @ SV391 )
!= c_Message_Oagent_OSpy )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1464]) ).
thf(1909,plain,
! [SV392: $i] :
( ( ! [SY2484: $i,SY2485: $i,SY2486: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV392 @ SY2484 @ SY2485 @ c_Message_Oagent_OSpy @ SY2486 )
= SY2485 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1465]) ).
thf(1910,plain,
( ( c_Message_Oagent_OServer = c_Message_Oagent_OSpy )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1911,plain,
! [SV393: $i] :
( ( ! [SY2487: $i,SY2488: $i,SY2489: $i] :
( ~ ( hBOOL @ ( hAPP @ SV393 @ ( c_Message_Oagent_Oagent__case @ SY2487 @ SY2488 @ SY2489 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV393 @ SY2489 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(1912,plain,
! [SV394: $i] :
( ( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ SV394 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(1913,plain,
( ( c_Message_Oagent_OSpy = c_Message_Oagent_OServer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1914,plain,
! [SV395: $i] :
( ( ! [SY2490: $i,SY2491: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV395 @ SY2490 ) @ SY2491 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2491 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1470]) ).
thf(1915,plain,
! [SV396: $i] :
( ( ! [SY2492: $i,SY2493: $i] :
( ( hAPP @ ( c_List_Orev @ SV396 ) @ ( c_List_Ofilter @ SY2492 @ SY2493 @ SV396 ) )
= ( c_List_Ofilter @ SY2492 @ ( hAPP @ ( c_List_Orev @ SV396 ) @ SY2493 ) @ SV396 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1471]) ).
thf(1916,plain,
! [SV397: $i] :
( ( ! [SY2494: $i] :
( ( c_Nat_Osize__class_Osize @ ( hAPP @ ( c_List_Orev @ SV397 ) @ SY2494 ) @ ( tc_List_Olist @ SV397 ) )
= ( c_Nat_Osize__class_Osize @ SY2494 @ ( tc_List_Olist @ SV397 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1917,plain,
! [SV398: $i] :
( ( ! [SY2495: $i,SY2496: $i] :
( ( c_List_Olist__all @ SV398 @ ( hAPP @ ( c_List_Orev @ SY2495 ) @ SY2496 ) @ SY2495 )
| ~ ( c_List_Olist__all @ SV398 @ SY2496 @ SY2495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1473]) ).
thf(1918,plain,
! [SV399: $i] :
( ( ! [SY2497: $i,SY2498: $i] :
( ( c_List_Olist__all @ SV399 @ SY2497 @ SY2498 )
| ~ ( c_List_Olist__all @ SV399 @ ( hAPP @ ( c_List_Orev @ SY2498 ) @ SY2497 ) @ SY2498 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(1919,plain,
! [SV400: $i] :
( ( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV400 )
| ! [SY2499: $i] :
( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ SV400 ) @ SY2499 ) @ SV400 )
= ( c_List_Olistsum @ SY2499 @ SV400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(1920,plain,
! [SV401: $i] :
( ( ! [SY2500: $i] :
( ( c_List_Oset @ ( hAPP @ ( c_List_Orev @ SV401 ) @ SY2500 ) @ SV401 )
= ( c_List_Oset @ SY2500 @ SV401 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(1921,plain,
! [SV402: $i] :
( ( ! [SY2501: $i,SY2502: $i] :
( ( hAPP @ ( c_List_Orev @ SV402 ) @ ( c_List_Oreplicate @ SY2501 @ SY2502 @ SV402 ) )
= ( c_List_Oreplicate @ SY2501 @ SY2502 @ SV402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(1922,plain,
! [SV403: $i] :
( ( ! [SY2503: $i,SY2504: $i,SY2505: $i,SY2506: $i] :
( ( c_List_Olist__all2 @ SV403 @ ( hAPP @ ( c_List_Orev @ SY2503 ) @ SY2504 ) @ ( hAPP @ ( c_List_Orev @ SY2505 ) @ SY2506 ) @ SY2503 @ SY2505 )
| ~ ( c_List_Olist__all2 @ SV403 @ SY2504 @ SY2506 @ SY2503 @ SY2505 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1923,plain,
! [SV404: $i] :
( ( ! [SY2507: $i,SY2508: $i,SY2509: $i,SY2510: $i] :
( ( c_List_Olist__all2 @ SV404 @ SY2507 @ SY2508 @ SY2509 @ SY2510 )
| ~ ( c_List_Olist__all2 @ SV404 @ ( hAPP @ ( c_List_Orev @ SY2509 ) @ SY2507 ) @ ( hAPP @ ( c_List_Orev @ SY2510 ) @ SY2508 ) @ SY2509 @ SY2510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1924,plain,
! [SV405: $i] :
( ( ! [SY2511: $i,SY2512: $i,SY2513: $i] :
( ( hAPP @ ( c_List_Orev @ SV405 ) @ ( c_List_Omap @ SY2511 @ SY2512 @ SY2513 @ SV405 ) )
= ( c_List_Omap @ SY2511 @ ( hAPP @ ( c_List_Orev @ SY2513 ) @ SY2512 ) @ SY2513 @ SV405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(1925,plain,
! [SV406: $i] :
( ( ! [SY2514: $i] : ( c_Fun_Oinj__on @ ( c_List_Orev @ SV406 ) @ SY2514 @ ( tc_List_Olist @ SV406 ) @ ( tc_List_Olist @ SV406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(1926,plain,
! [SV407: $i] :
( ( ! [SY2515: $i] :
( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV407 ) @ SY2515 ) @ SV407 )
| ~ ( c_List_Odistinct @ SY2515 @ SV407 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(1927,plain,
! [SV408: $i] :
( ( ! [SY2516: $i] :
( ( c_List_Odistinct @ SV408 @ SY2516 )
| ~ ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SY2516 ) @ SV408 ) @ SY2516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(1928,plain,
! [SV409: $i] :
( ( ! [SY2517: $i,SY2518: $i] :
( ( hAPP @ ( c_List_Orev @ SV409 ) @ ( c_List_Oappend @ SY2517 @ SY2518 @ SV409 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV409 ) @ SY2518 ) @ ( hAPP @ ( c_List_Orev @ SV409 ) @ SY2517 ) @ SV409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1929,plain,
! [SV410: $i] :
( ( ! [SY2519: $i,SY2520: $i,SY2521: $i,SY2522: $i] :
( ( c_List_Olist__all2 @ SV410 @ ( hAPP @ ( c_List_Orev @ SY2519 ) @ SY2520 ) @ SY2521 @ SY2519 @ SY2522 )
| ~ ( c_List_Olist__all2 @ SV410 @ SY2520 @ ( hAPP @ ( c_List_Orev @ SY2522 ) @ SY2521 ) @ SY2519 @ SY2522 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1485]) ).
thf(1930,plain,
! [SV411: $i] :
( ( ! [SY2523: $i,SY2524: $i,SY2525: $i,SY2526: $i] :
( ( c_List_Olist__all2 @ SV411 @ SY2523 @ ( hAPP @ ( c_List_Orev @ SY2524 ) @ SY2525 ) @ SY2526 @ SY2524 )
| ~ ( c_List_Olist__all2 @ SV411 @ ( hAPP @ ( c_List_Orev @ SY2526 ) @ SY2523 ) @ SY2525 @ SY2526 @ SY2524 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1931,plain,
! [SV412: $i] :
( ( ! [SY2527: $i,SY2528: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV412 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2527 @ SY2528 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(1932,plain,
! [SV413: $i] :
( ( ! [SY2529: $i,SY2530: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV413 ) @ SY2529 )
!= ( c_List_Olist_OCons @ SY2530 @ ( c_List_Olist_ONil @ SV413 ) @ SV413 ) )
| ( SY2529
= ( c_List_Olist_OCons @ SY2530 @ ( c_List_Olist_ONil @ SV413 ) @ SV413 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1489]) ).
thf(1933,plain,
! [SV414: $i] :
( ( ! [SY2531: $i,SY2532: $i] :
( ( ( c_List_Olist_OCons @ SV414 @ ( c_List_Olist_ONil @ SY2531 ) @ SY2531 )
!= ( hAPP @ ( c_List_Orev @ SY2531 ) @ SY2532 ) )
| ( SY2532
= ( c_List_Olist_OCons @ SV414 @ ( c_List_Olist_ONil @ SY2531 ) @ SY2531 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1490]) ).
thf(1934,plain,
! [SV415: $i] :
( ( ! [SY2533: $i] :
( ( hAPP @ ( c_List_Orev @ SV415 ) @ ( c_List_Olist_OCons @ SY2533 @ ( c_List_Olist_ONil @ SV415 ) @ SV415 ) )
= ( c_List_Olist_OCons @ SY2533 @ ( c_List_Olist_ONil @ SV415 ) @ SV415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1935,plain,
! [SV416: $i] :
( ( ! [SY2534: $i] :
( ( c_List_Olist_OCons @ SV416 @ ( c_List_Olist_ONil @ SY2534 ) @ SY2534 )
= ( hAPP @ ( c_List_Orev @ SY2534 ) @ ( c_List_Olist_OCons @ SV416 @ ( c_List_Olist_ONil @ SY2534 ) @ SY2534 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1492]) ).
thf(1936,plain,
! [SV417: $i] :
( ( ( c_Event_Oknows @ SV417 @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ SV417 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1937,plain,
! [SV418: $i] :
( ( ( c_List_Olist_ONil @ SV418 )
= ( hAPP @ ( c_List_Orev @ SV418 ) @ ( c_List_Olist_ONil @ SV418 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1938,plain,
! [SV419: $i] :
( ( ! [SY2535: $i] :
( ( ( c_List_Olist_ONil @ SV419 )
!= ( hAPP @ ( c_List_Orev @ SV419 ) @ SY2535 ) )
| ( SY2535
= ( c_List_Olist_ONil @ SV419 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1495]) ).
thf(1939,plain,
! [SV420: $i] :
( ( ! [SY2536: $i,SY2537: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV420 ) @ SY2536 )
!= ( hAPP @ ( c_List_Orev @ SV420 ) @ SY2537 ) )
| ( SY2536 = SY2537 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(1940,plain,
! [SV421: $i] :
( ( ! [SY2538: $i] :
( ( hAPP @ ( c_List_Orev @ SV421 ) @ ( hAPP @ ( c_List_Orev @ SV421 ) @ SY2538 ) )
= SY2538 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1497]) ).
thf(1941,plain,
! [SV422: $i] :
( ( ! [SY2539: $i] :
( ( hAPP @ ( c_List_Orev @ SV422 ) @ ( hAPP @ ( c_List_Orev @ SV422 ) @ SY2539 ) )
= SY2539 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1498]) ).
thf(1942,plain,
! [SV423: $i] :
( ( ! [SY2540: $i] :
( SV423
= ( hAPP @ ( c_List_Orev @ SY2540 ) @ ( hAPP @ ( c_List_Orev @ SY2540 ) @ SV423 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1499]) ).
thf(1943,plain,
! [SV424: $i] :
( ( ! [SY2541: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV424 ) @ SY2541 )
!= ( c_List_Olist_ONil @ SV424 ) )
| ( SY2541
= ( c_List_Olist_ONil @ SV424 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(1944,plain,
! [SV425: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV425 ) @ ( c_List_Olist_ONil @ SV425 ) )
= ( c_List_Olist_ONil @ SV425 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1945,plain,
! [SV426: $i] :
( ( ! [SY2542: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ SV426 @ SY2542 ) )
| ~ ( class_Orderings_Opreorder @ SY2542 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(1946,plain,
! [SV427: $i] :
( ( ! [SY2543: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ SV427 @ SY2543 ) )
| ~ ( class_Orderings_Oorder @ SY2543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(1947,plain,
! [SV428: $i] :
( ( ! [SY2544: $i] :
( ( class_HOL_Oord @ ( tc_fun @ SV428 @ SY2544 ) )
| ~ ( class_HOL_Oord @ SY2544 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1504]) ).
thf(1948,plain,
! [SV429: $i] :
( ( ! [SY2545: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV429 ) @ SY2545 ) @ SY2545 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1949,plain,
! [SV430: $i] :
( ( ! [SY2546: $i] :
( ( SV430 = SY2546 )
| ! [SY2547: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SY2547 ) @ SV430 ) @ SY2546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1515]) ).
thf(1950,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1951,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)],[1518]) ).
thf(1952,plain,
! [SV432: $i,SV2: $i] :
( ( ! [SY2551: $i,SY2552: $i,SY2553: $i] :
( ( c_Event_Oevent_OGets @ SV2 @ SV432 )
!= ( c_Event_Oevent_OSays @ SY2551 @ SY2552 @ SY2553 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(1953,plain,
! [SV433: $i,SV3: $i] :
( ( ! [SY2554: $i,SY2555: $i,SY2556: $i] :
( ( c_Event_Oevent_OSays @ SV3 @ SV433 @ SY2554 )
!= ( c_Event_Oevent_OGets @ SY2555 @ SY2556 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1954,plain,
! [SV434: $i,SV4: $i] :
( ( ! [SY2557: $i,SY2558: $i] :
( ( c_Event_Oknows @ SV4 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV4 @ SV434 @ SY2557 ) @ SY2558 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2557 @ ( c_Event_Oknows @ SV4 @ SY2558 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(1955,plain,
! [SV435: $i,SV5: $i] :
( ( ! [SY2559: $i,SY2560: $i,SY2561: $i,SY2562: $i] :
( ( ( c_Event_Oevent_OSays @ SV5 @ SV435 @ SY2559 )
!= ( c_Event_Oevent_OSays @ SY2560 @ SY2561 @ SY2562 ) )
| ( SY2559 = SY2562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(1956,plain,
! [SV436: $i,SV6: $i] :
( ( ! [SY2563: $i,SY2564: $i,SY2565: $i] :
( ! [SY2566: $i] :
( ( c_Event_Oevent_OSays @ SV6 @ SV436 @ SY2563 )
!= ( c_Event_Oevent_OSays @ SY2564 @ SY2565 @ SY2566 ) )
| ( SV436 = SY2565 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1957,plain,
! [SV437: $i,SV7: $i] :
( ( ! [SY2567: $i,SY2568: $i] :
( ! [SY2569: $i,SY2570: $i] :
( ( c_Event_Oevent_OSays @ SV7 @ SV437 @ SY2567 )
!= ( c_Event_Oevent_OSays @ SY2568 @ SY2569 @ SY2570 ) )
| ( SV7 = SY2568 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1524]) ).
thf(1958,plain,
! [SV438: $i,SV8: $i] :
( ( ! [SY2571: $i,SY2572: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV8 @ SV438 @ SY2571 ) @ SY2572 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2571 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2572 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1525]) ).
thf(1959,plain,
! [SV439: $i,SV9: $i] :
( ( ! [SY2573: $i,SY2574: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV9 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV439 @ SY2573 @ SY2574 ) @ SV9 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1960,plain,
! [SV440: $i,SV10: $i] :
( ( ! [SY2575: $i] :
( ( ( c_List_Odrop @ SV10 @ SV440 @ SY2575 )
!= ( c_List_Olist_ONil @ SY2575 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV440 @ ( tc_List_Olist @ SY2575 ) ) @ SV10 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1527]) ).
thf(1961,plain,
! [SV441: $i,SV11: $i] :
( ( ! [SY2576: $i] :
( ( ( c_List_Odrop @ SV11 @ SV441 @ SY2576 )
= ( c_List_Olist_ONil @ SY2576 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV441 @ ( tc_List_Olist @ SY2576 ) ) @ SV11 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1528]) ).
thf(1962,plain,
! [SV442: $i,SV12: $i] :
( ( ! [SY2577: $i,SY2578: $i] :
( ! [SY2579: $i] :
( ( c_List_Oappend @ SV12 @ SV442 @ SY2577 )
!= ( c_List_Oappend @ SY2578 @ SY2579 @ SY2577 ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SY2578 @ ( tc_List_Olist @ SY2577 ) ) @ SV12 @ SY2577 )
= SY2578 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV12 @ ( tc_List_Olist @ SY2577 ) ) @ ( c_Nat_Osize__class_Osize @ SY2578 @ ( tc_List_Olist @ SY2577 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1529]) ).
thf(1963,plain,
! [SV443: $i,SV13: $i] :
( ( ! [SY2580: $i,SY2581: $i] :
( ( c_List_Otake @ SV13 @ ( c_List_Oappend @ SV443 @ SY2580 @ SY2581 ) @ SY2581 )
= ( c_List_Oappend @ ( c_List_Otake @ SV13 @ SV443 @ SY2581 ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV13 @ ( c_Nat_Osize__class_Osize @ SV443 @ ( tc_List_Olist @ SY2581 ) ) @ tc_nat ) @ SY2580 @ SY2581 ) @ SY2581 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(1964,plain,
! [SV444: $i,SV14: $i] :
( ( ! [SY2582: $i,SY2583: $i] :
( ! [SY2584: $i] :
( ( c_List_Oappend @ SV14 @ SV444 @ SY2582 )
!= ( c_List_Oappend @ SY2583 @ SY2584 @ SY2582 ) )
| ( SV14
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SY2582 ) ) @ SY2583 @ SY2582 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SY2582 ) ) @ ( c_Nat_Osize__class_Osize @ SY2583 @ ( tc_List_Olist @ SY2582 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1531]) ).
thf(1965,plain,
! [SV445: $i,SV15: $i] :
( ( ! [SY2585: $i,SY2586: $i,SY2587: $i] :
( ( ( c_List_Oappend @ SV15 @ SV445 @ SY2585 )
!= ( c_List_Oappend @ SY2586 @ SY2587 @ SY2585 ) )
| ( SV445
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SY2585 ) ) @ SY2586 @ SY2585 ) @ SY2587 @ SY2585 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SY2585 ) ) @ ( c_Nat_Osize__class_Osize @ SY2586 @ ( tc_List_Olist @ SY2585 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1532]) ).
thf(1966,plain,
! [SV446: $i,SV16: $i] :
( ( ! [SY2588: $i,SY2589: $i,SY2590: $i] :
( ( ( c_List_Oappend @ SV16 @ SV446 @ SY2588 )
!= ( c_List_Oappend @ SY2589 @ SY2590 @ SY2588 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY2589 @ ( tc_List_Olist @ SY2588 ) ) @ SV16 @ SY2588 ) @ SV446 @ SY2588 )
= SY2590 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV16 @ ( tc_List_Olist @ SY2588 ) ) @ ( c_Nat_Osize__class_Osize @ SY2589 @ ( tc_List_Olist @ SY2588 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(1967,plain,
! [SV447: $i,SV17: $i] :
( ( ! [SY2591: $i,SY2592: $i] :
( ( c_List_Odrop @ SV17 @ ( c_List_Oappend @ SV447 @ SY2591 @ SY2592 ) @ SY2592 )
= ( c_List_Oappend @ ( c_List_Odrop @ SV17 @ SV447 @ SY2592 ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ SV17 @ ( c_Nat_Osize__class_Osize @ SV447 @ ( tc_List_Olist @ SY2592 ) ) @ tc_nat ) @ SY2591 @ SY2592 ) @ SY2592 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1534]) ).
thf(1968,plain,
! [SV448: $i,SV18: $i] :
( ( ! [SY2593: $i,SY2594: $i,SY2595: $i] :
( ( hBOOL @ ( hAPP @ SV18 @ ( c_Message_Oagent_Oagent__case @ SV448 @ SY2593 @ SY2594 @ SY2595 @ t_a ) ) )
| ( SY2595 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV18 @ ( hAPP @ SY2593 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV18 @ SY2593 @ SY2595 ) ) ) )
| ( SY2595 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1535]) ).
thf(1969,plain,
! [SV449: $i,SV19: $i] :
( ( ! [SY2596: $i,SY2597: $i,SY2598: $i,SY2599: $i] :
( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SY2596 @ SY2597 ) )
!= ( hAPP @ SY2596 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SY2596 @ SY2597 ) ) )
| ( SV449 = c_Message_Oagent_OServer )
| ! [SY2600: $i,SY2601: $i] :
( ( c_Message_Oagent_Oagent__case @ SY2598 @ SV19 @ SY2599 @ SV449 @ SY2597 )
= ( c_Message_Oagent_Oagent__case @ SY2600 @ SY2596 @ SY2601 @ SV449 @ SY2597 ) )
| ( SV449 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(1970,plain,
! [SV450: $i,SV20: $i] :
( ( ! [SY2602: $i,SY2603: $i,SY2604: $i] :
( ( hBOOL @ ( hAPP @ SV20 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SY2602 @ SY2603 @ SY2604 @ t_a ) ) )
| ( SY2604 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SY2602 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV20 @ SY2602 @ SY2604 ) ) ) )
| ( SY2604 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(1971,plain,
! [SV451: $i,SV21: $i] :
( ( ! [SY2605: $i,SY2606: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV21 @ SV451 ) @ ( c_Event_Oknows @ SV21 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2605 @ SY2606 ) @ SV451 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1538]) ).
thf(1972,plain,
! [SV452: $i,SV22: $i] :
( ( ! [SY2607: $i,SY2608: $i,SY2609: $i] :
( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV452 @ SY2607 @ SY2608 @ SY2609 @ t_a ) ) )
| ( SY2609 = c_Message_Oagent_OSpy )
| ( SY2609
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV22 @ SY2607 @ SY2609 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV452 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(1973,plain,
! [SV453: $i,SV23: $i] :
( ( ! [SY2610: $i,SY2611: $i,SY2612: $i,SY2613: $i] :
( ! [SY2614: $i] :
( ( c_Message_Oagent_Oagent__case @ SV23 @ SV453 @ SY2610 @ SY2611 @ SY2612 )
= ( c_Message_Oagent_Oagent__case @ SV23 @ SY2613 @ SY2614 @ SY2611 @ SY2612 ) )
| ( SY2611 = c_Message_Oagent_OSpy )
| ( SY2611
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2611 @ SV453 @ SY2613 @ SY2612 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1540]) ).
thf(1974,plain,
! [SV454: $i,SV24: $i] :
( ( ! [SY2615: $i,SY2616: $i,SY2617: $i] :
( ( hBOOL @ ( hAPP @ SV24 @ ( c_Message_Oagent_Oagent__case @ SV454 @ SY2615 @ SY2616 @ SY2617 @ t_a ) ) )
| ( SY2617 = c_Message_Oagent_OSpy )
| ( SY2617
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV24 @ SY2615 @ SY2617 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ SV454 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(1975,plain,
! [SV455: $i,SV25: $i] :
( ( ! [SY2618: $i,SY2619: $i,SY2620: $i] :
( ( hBOOL @ ( hAPP @ SV25 @ ( c_Message_Oagent_Oagent__case @ SV455 @ SY2618 @ SY2619 @ SY2620 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV25 @ SY2619 ) )
| ( SY2620
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV25 @ SY2618 @ SY2620 ) ) )
| ( SY2620 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1542]) ).
thf(1976,plain,
! [SV456: $i,SV26: $i] :
( ( ! [SY2621: $i,SY2622: $i,SY2623: $i] :
( ( SV26
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV26 @ SV456 @ SY2621 @ SY2622 ) ) )
| ( SV26 = c_Message_Oagent_OServer )
| ! [SY2624: $i,SY2625: $i] :
( ( c_Message_Oagent_Oagent__case @ SY2623 @ SV456 @ SY2624 @ SV26 @ SY2622 )
= ( c_Message_Oagent_Oagent__case @ SY2625 @ SY2621 @ SY2624 @ SV26 @ SY2622 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1543]) ).
thf(1977,plain,
! [SV457: $i,SV27: $i] :
( ( ! [SY2626: $i,SY2627: $i,SY2628: $i] :
( ( hBOOL @ ( hAPP @ SV27 @ ( c_Message_Oagent_Oagent__case @ SV457 @ SY2626 @ SY2627 @ SY2628 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV27 @ SY2627 ) )
| ( SY2628
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV27 @ SY2626 @ SY2628 ) ) )
| ( SY2628 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(1978,plain,
! [SV458: $i,SV28: $i] :
( ( ! [SY2629: $i,SY2630: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV28 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV458 @ SY2629 @ SY2630 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2630 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV28 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1545]) ).
thf(1979,plain,
! [SV459: $i,SV29: $i] :
( ( ! [SY2631: $i] :
( ( c_List_Obutlast @ ( c_List_Oappend @ SV29 @ ( c_List_Olist_OCons @ SV459 @ ( c_List_Olist_ONil @ SY2631 ) @ SY2631 ) @ SY2631 ) @ SY2631 )
= SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1546]) ).
thf(1980,plain,
! [SV460: $i,SV32: $i] :
( ( ! [SY2632: $i] :
( ~ ( class_HOL_Oord @ SV32 )
| ! [SY2633: $i] :
( ( c_lessequals @ ( hAPP @ SV460 @ SY2632 ) @ ( hAPP @ SY2633 @ SY2632 ) @ SV32 )
| ! [SY2634: $i] :
~ ( c_lessequals @ SV460 @ SY2633 @ ( tc_fun @ SY2634 @ SV32 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1549]) ).
thf(1981,plain,
! [SV461: $i,SV33: $i] :
( ( ! [SY2635: $i,SY2636: $i] :
( ( ( hAPP @ SV33 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SY2635 @ SY2636 ) )
!= ( hAPP @ SY2635 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SY2635 @ SY2636 ) ) )
| ! [SY2637: $i,SY2638: $i] :
( ( c_Message_Oagent_Oagent__case @ SY2637 @ SV33 @ SY2638 @ SV461 @ SY2636 )
= ( c_Message_Oagent_Oagent__case @ SY2637 @ SY2635 @ SY2638 @ SV461 @ SY2636 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1550]) ).
thf(1982,plain,
! [SV462: $i,SV34: $i] :
( ( ! [SY2639: $i,SY2640: $i,SY2641: $i] :
( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SV462 @ SY2639 @ SY2640 @ SY2641 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SY2640 ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SY2639 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SY2639 @ SY2641 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SV462 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(1983,plain,
! [SV463: $i,SV35: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV35 @ ( c_HOL_Ominus__class_Ominus @ SV35 @ SV463 @ tc_nat ) @ tc_nat )
= SV463 )
| ~ ( c_lessequals @ SV463 @ SV35 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1552]) ).
thf(1984,plain,
! [SV464: $i,SV36: $i] :
( ( ! [SY2642: $i] :
( ( c_List_Obutlast @ ( c_List_Odrop @ SV36 @ SV464 @ SY2642 ) @ SY2642 )
= ( c_List_Odrop @ SV36 @ ( c_List_Obutlast @ SV464 @ SY2642 ) @ SY2642 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(1985,plain,
! [SV465: $i,SV37: $i] :
( ( ~ ( class_Divides_Oring__div @ SV37 )
| ! [SY2643: $i,SY2644: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV465 @ SY2643 @ SV37 ) @ SY2644 @ SV37 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV465 @ SY2644 @ SV37 ) @ ( c_Divides_Odiv__class_Omod @ SY2643 @ SY2644 @ SV37 ) @ SV37 ) @ SY2644 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(1986,plain,
! [SV466: $i,SV38: $i] :
( ( c_lessequals @ ( c_Divides_Odiv__class_Omod @ SV38 @ SV466 @ tc_nat ) @ SV38 @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(1987,plain,
! [SV467: $i,SV39: $i] :
( ( ! [SY2645: $i,SY2646: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV39 @ SV467 @ SY2645 ) @ SY2646 ) )
| ~ ( hBOOL @ ( hAPP @ SV467 @ SY2646 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(1988,plain,
! [SV468: $i,SV40: $i] :
( ( ! [SY2647: $i] :
( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV40 @ SV468 @ tc_nat ) @ SY2647 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV40 @ SY2647 @ tc_nat ) @ SV468 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(1989,plain,
! [SV469: $i,SV41: $i] :
( ( ! [SY2648: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV41 @ SV469 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY2648 @ SV469 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV41 @ SY2648 @ tc_nat ) )
| ~ ( c_lessequals @ SV469 @ SY2648 @ tc_nat )
| ~ ( c_lessequals @ SV469 @ SV41 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(1990,plain,
! [SV470: $i,SV42: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV42 @ SV470 @ tc_nat ) @ SV42 @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(1991,plain,
! [SV471: $i,SV43: $i] :
( ( ! [SY2649: $i] :
( ( c_List_Otl @ ( c_List_Odrop @ SV43 @ SV471 @ SY2649 ) @ SY2649 )
= ( c_List_Odrop @ SV43 @ ( c_List_Otl @ SV471 @ SY2649 ) @ SY2649 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(1992,plain,
! [SV472: $i,SV44: $i] :
( ( ! [SY2650: $i] :
( ( c_List_Odrop @ SV44 @ ( c_List_Obutlast @ SV472 @ SY2650 ) @ SY2650 )
= ( c_List_Obutlast @ ( c_List_Odrop @ SV44 @ SV472 @ SY2650 ) @ SY2650 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(1993,plain,
! [SV473: $i,SV45: $i] :
( ( ! [SY2651: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV45 @ SV473 @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ SY2651 @ SV473 @ tc_nat ) )
| ~ ( c_lessequals @ SV473 @ SY2651 @ tc_nat )
| ~ ( c_lessequals @ SV473 @ SV45 @ tc_nat )
| ( SV45 = SY2651 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1562]) ).
thf(1994,plain,
! [SV474: $i,SV46: $i] :
( ( ~ ( class_OrderedGroup_Oab__group__add @ SV46 )
| ! [SY2652: $i,SY2653: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV474 @ SV474 @ SV46 )
!= ( c_HOL_Ominus__class_Ominus @ SY2652 @ SY2653 @ SV46 ) )
| ( SY2652 = SY2653 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1563]) ).
thf(1995,plain,
! [SV475: $i,SV47: $i] :
( ( ~ ( class_OrderedGroup_Oab__group__add @ SV47 )
| ! [SY2654: $i] :
( ! [SY2655: $i] :
( ( c_HOL_Ominus__class_Ominus @ SV475 @ SY2654 @ SV47 )
!= ( c_HOL_Ominus__class_Ominus @ SY2655 @ SY2655 @ SV47 ) )
| ( SV475 = SY2654 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1564]) ).
thf(1996,plain,
! [SV476: $i,SV48: $i] :
( ( ( c_lessequals @ SV48 @ SV476 @ tc_nat )
| ! [SY2656: $i] :
( ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SY2656 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV476 @ SY2656 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SY2656 @ SV476 @ tc_nat )
| ~ ( c_lessequals @ SY2656 @ SV48 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1565]) ).
thf(1997,plain,
! [SV477: $i,SV49: $i] :
( ( ! [SY2657: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV49 @ SV477 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY2657 @ SV477 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV49 @ SY2657 @ tc_nat )
| ~ ( c_lessequals @ SV477 @ SY2657 @ tc_nat )
| ~ ( c_lessequals @ SV477 @ SV49 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1566]) ).
thf(1998,plain,
! [SV478: $i,SV50: $i] :
( ( ! [SY2658: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV50 @ SV478 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SY2658 @ SV478 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV50 @ SY2658 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(1999,plain,
! [SV479: $i,SV51: $i] :
( ( ! [SY2659: $i] :
( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV51 @ SV479 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV51 @ SY2659 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SY2659 @ SV479 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1568]) ).
thf(2000,plain,
! [SV480: $i,SV52: $i] :
( ( ! [SY2660: $i,SY2661: $i] :
( ( c_Set_Oinsert @ SV52 @ ( c_Set_Oinsert @ SV480 @ SY2660 @ SY2661 ) @ SY2661 )
= ( c_Set_Oinsert @ SV480 @ ( c_Set_Oinsert @ SV52 @ SY2660 @ SY2661 ) @ SY2661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1569]) ).
thf(2001,plain,
! [SV481: $i,SV53: $i] :
( ( ~ ( class_Divides_Oring__div @ SV53 )
| ! [SY2662: $i,SY2663: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV481 @ SY2662 @ SV53 ) @ SY2663 @ SV53 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV481 @ ( c_Divides_Odiv__class_Omod @ SY2662 @ SY2663 @ SV53 ) @ SV53 ) @ SY2663 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1570]) ).
thf(2002,plain,
! [SV482: $i,SV54: $i] :
( ( ~ ( class_Divides_Oring__div @ SV54 )
| ! [SY2664: $i,SY2665: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV482 @ SY2664 @ SV54 ) @ SY2665 @ SV54 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV482 @ SY2665 @ SV54 ) @ SY2664 @ SV54 ) @ SY2665 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1571]) ).
thf(2003,plain,
! [SV483: $i,SV55: $i] :
( ( ! [SY2666: $i,SY2667: $i] :
( ( c_Fun_Oinj__on @ SV55 @ SV483 @ SY2666 @ SY2667 )
| ! [SY2668: $i] :
~ ( c_Fun_Oinj__on @ SV55 @ ( c_Set_Oinsert @ SY2668 @ SV483 @ SY2666 ) @ SY2666 @ SY2667 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(2004,plain,
! [SV484: $i,SV56: $i] :
( ( ! [SY2669: $i] :
( ( c_List_Odrop @ SV56 @ ( c_List_Otl @ SV484 @ SY2669 ) @ SY2669 )
= ( c_List_Otl @ ( c_List_Odrop @ SV56 @ SV484 @ SY2669 ) @ SY2669 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1573]) ).
thf(2005,plain,
! [SV485: $i,SV57: $i] :
( ( ! [SY2670: $i] :
( ( c_lessequals @ SV57 @ SV485 @ ( tc_fun @ SY2670 @ tc_bool ) )
| ! [SY2671: $i] :
~ ( c_lessequals @ ( c_Set_Oinsert @ SY2671 @ SV57 @ SY2670 ) @ SV485 @ ( tc_fun @ SY2670 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(2006,plain,
! [SV486: $i,SV58: $i] :
( ( ! [SY2672: $i,SY2673: $i] :
( ( c_lessequals @ SV58 @ ( c_Set_Oinsert @ SV486 @ SY2672 @ SY2673 ) @ ( tc_fun @ SY2673 @ tc_bool ) )
| ~ ( c_lessequals @ SV58 @ SY2672 @ ( tc_fun @ SY2673 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1575]) ).
thf(2007,plain,
! [SV59: $i] :
( ( ( ~ ( class_Divides_Osemiring__div @ SV59 ) )
= $true )
| ( ( ! [SY1671: $i,SY1672: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ SY1671 @ SY1672 @ SV59 ) @ SY1672 @ SV59 )
= ( c_Divides_Odiv__class_Omod @ SY1671 @ SY1672 @ SV59 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1576]) ).
thf(2008,plain,
! [SV487: $i,SV60: $i] :
( ( ! [SY2674: $i] :
( ( c_Set_Oinsert @ SV60 @ ( c_Set_Oinsert @ SV60 @ SV487 @ SY2674 ) @ SY2674 )
= ( c_Set_Oinsert @ SV60 @ SV487 @ SY2674 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1577]) ).
thf(2009,plain,
! [SV488: $i,SV61: $i] :
( ( ( hBOOL @ ( hAPP @ SV61 @ SV488 ) )
| ! [SY2675: $i] :
( ( SY2675 = SV488 )
| ! [SY2676: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY2675 @ SV61 @ SY2676 ) @ SV488 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1578]) ).
thf(2010,plain,
! [SV489: $i,SV62: $i] :
( ( ! [SY2677: $i] : ( c_lessequals @ SV62 @ ( c_Set_Oinsert @ SV489 @ SV62 @ SY2677 ) @ ( tc_fun @ SY2677 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(2011,plain,
! [SV490: $i,SV63: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV63 @ SV490 @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV63 @ SV490 @ tc_nat ) @ SV490 @ tc_nat ) )
| ~ ( c_lessequals @ SV490 @ SV63 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(2012,plain,
! [SV491: $i,SV64: $i] :
( ( ! [SY2678: $i] :
( ( c_List_Otl @ ( c_List_Olist_OCons @ SV64 @ SV491 @ SY2678 ) @ SY2678 )
= SV491 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(2013,plain,
! [SV492: $i,SV65: $i] :
( ( ( SV65 = SV492 )
| ! [SY2679: $i] :
( ~ ( c_lessequals @ SV492 @ SV65 @ ( tc_fun @ SY2679 @ tc_bool ) )
| ~ ( c_lessequals @ SV65 @ SV492 @ ( tc_fun @ SY2679 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1582]) ).
thf(2014,plain,
! [SV493: $i,SV66: $i] :
( ( ( SV66 = SV493 )
| ~ ( c_lessequals @ SV493 @ SV66 @ tc_nat )
| ~ ( c_lessequals @ SV66 @ SV493 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(2015,plain,
! [SV494: $i,SV67: $i] :
( ( ( SV67 = SV494 )
| ! [SY2680: $i] :
( ~ ( c_lessequals @ SV494 @ SV67 @ ( tc_fun @ SY2680 @ tc_bool ) )
| ~ ( c_lessequals @ SV67 @ SV494 @ ( tc_fun @ SY2680 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1584]) ).
thf(2016,plain,
! [SV68: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV68 ) )
= $true )
| ( ( ! [SY1688: $i,SY1689: $i] :
( ( SY1688 = SY1689 )
| ~ ( c_lessequals @ SY1689 @ SY1688 @ SV68 )
| ~ ( c_lessequals @ SY1688 @ SY1689 @ SV68 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1585]) ).
thf(2017,plain,
! [SV69: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV69 ) )
= $true )
| ( ( ! [SY1690: $i,SY1691: $i] :
( ( SY1690 = SY1691 )
| ~ ( c_lessequals @ SY1691 @ SY1690 @ SV69 )
| ~ ( c_lessequals @ SY1690 @ SY1691 @ SV69 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1586]) ).
thf(2018,plain,
! [SV70: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV70 ) )
= $true )
| ( ( ! [SY1692: $i,SY1693: $i] :
( ( SY1692 = SY1693 )
| ~ ( c_lessequals @ SY1692 @ SY1693 @ SV70 )
| ~ ( c_lessequals @ SY1693 @ SY1692 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1587]) ).
thf(2019,plain,
! [SV495: $i,SV71: $i] :
( ( ! [SY2681: $i,SY2682: $i] :
( ~ ( class_Divides_Oring__div @ SV71 )
| ( ( c_Divides_Odiv__class_Omod @ SV495 @ SY2681 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY2682 @ SY2681 @ SV71 ) )
| ! [SY2683: $i,SY2684: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SY2683 @ SY2681 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY2684 @ SY2681 @ SV71 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY2683 @ SV495 @ SV71 ) @ SY2681 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY2684 @ SY2682 @ SV71 ) @ SY2681 @ SV71 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1588]) ).
thf(2020,plain,
! [SV496: $i,SV72: $i] :
( ( ! [SY2685: $i,SY2686: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV72 @ SV496 @ SY2685 @ SY2686 ) @ SY2686 ) @ ( c_Set_Oinsert @ SY2685 @ ( c_List_Oset @ SV72 @ SY2686 ) @ SY2686 ) @ ( tc_fun @ SY2686 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(2021,plain,
! [SV497: $i,SV73: $i] :
( ( ! [SY2687: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV73 @ SV497 @ SY2687 ) @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(2022,plain,
! [SV498: $i,SV74: $i] :
( ( ~ ( class_Orderings_Oorder @ SV74 )
| ! [SY2688: $i] :
( ( c_lessequals @ SV498 @ SY2688 @ SV74 )
| ! [SY2689: $i] :
( ~ ( c_lessequals @ SV498 @ SY2689 @ SV74 )
| ~ ( c_lessequals @ SY2689 @ SY2688 @ SV74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(2023,plain,
! [SV499: $i,SV75: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV75 )
| ! [SY2690: $i] :
( ( c_lessequals @ SV499 @ SY2690 @ SV75 )
| ! [SY2691: $i] :
( ~ ( c_lessequals @ SY2691 @ SY2690 @ SV75 )
| ~ ( c_lessequals @ SV499 @ SY2691 @ SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(2024,plain,
! [SV500: $i,SV77: $i] :
( ( ( c_lessequals @ SV77 @ SV500 @ tc_nat )
| ! [SY2692: $i] :
( ~ ( c_lessequals @ SY2692 @ SV500 @ tc_nat )
| ~ ( c_lessequals @ SV77 @ SY2692 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1594]) ).
thf(2025,plain,
! [SV501: $i,SV79: $i] :
( ( c_lessequals @ SV79 @ SV79 @ ( tc_fun @ SV501 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1596]) ).
thf(2026,plain,
! [SV502: $i,SV80: $i] :
( ( c_lessequals @ SV80 @ SV80 @ ( tc_fun @ SV502 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(2027,plain,
! [SV503: $i,SV81: $i] :
( ( ! [SY2693: $i] :
( ( c_lessequals @ SV81 @ SV503 @ ( tc_fun @ SY2693 @ tc_bool ) )
| ! [SY2694: $i] :
( ~ ( c_lessequals @ SY2694 @ SV503 @ ( tc_fun @ SY2693 @ tc_bool ) )
| ~ ( c_lessequals @ SV81 @ SY2694 @ ( tc_fun @ SY2693 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1598]) ).
thf(2028,plain,
! [SV504: $i,SV82: $i] :
( ( ! [SY2695: $i,SY2696: $i] :
( ( c_Fun_Oinj__on @ SV82 @ SV504 @ SY2695 @ SY2696 )
| ! [SY2697: $i] :
( ~ ( c_lessequals @ SV504 @ SY2697 @ ( tc_fun @ SY2695 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV82 @ SY2697 @ SY2695 @ SY2696 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(2029,plain,
! [SV505: $i,SV83: $i] :
( ( ( hBOOL @ ( hAPP @ SV83 @ SV505 ) )
| ! [SY2698: $i] :
( ~ ( hBOOL @ ( hAPP @ SY2698 @ SV505 ) )
| ! [SY1723: $i] :
~ ( c_lessequals @ SY2698 @ SV83 @ ( tc_fun @ SY1723 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1600]) ).
thf(2030,plain,
! [SV84: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV84 ) )
= $true )
| ( ( ! [SY1724: $i] : ( c_lessequals @ SY1724 @ SY1724 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1601]) ).
thf(2031,plain,
! [SV85: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV85 ) )
= $true )
| ( ( ! [SY1725: $i] : ( c_lessequals @ SY1725 @ SY1725 @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1602]) ).
thf(2032,plain,
! [SV506: $i,SV86: $i] :
( ( ( hBOOL @ ( hAPP @ SV86 @ SV506 ) )
| ! [SY2700: $i] :
( ! [SY1728: $i] :
~ ( c_lessequals @ SY2700 @ SV86 @ ( tc_fun @ SY1728 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY2700 @ SV506 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1603]) ).
thf(2033,plain,
! [SV507: $i,SV87: $i] :
( ( ! [SY2702: $i,SY2703: $i,SY2704: $i] :
( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SV507 @ SY2702 @ SY2703 @ SY2704 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SY2703 ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SY2702 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SY2702 @ SY2704 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SV507 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(2034,plain,
! [SV508: $i,SV88: $i] :
( ( ! [SY2705: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV88 )
| ! [SY2706: $i,SY2707: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV508 @ SY2705 @ SV88 )
!= ( c_HOL_Ominus__class_Ominus @ SY2706 @ SY2707 @ SV88 ) )
| ( c_lessequals @ SY2707 @ SY2706 @ SV88 )
| ~ ( c_lessequals @ SY2705 @ SV508 @ SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(2035,plain,
! [SV509: $i,SV89: $i] :
( ( ! [SY2708: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV89 )
| ! [SY2709: $i,SY2710: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV509 @ SY2708 @ SV89 )
!= ( c_HOL_Ominus__class_Ominus @ SY2709 @ SY2710 @ SV89 ) )
| ( c_lessequals @ SY2708 @ SV509 @ SV89 )
| ~ ( c_lessequals @ SY2710 @ SY2709 @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1606]) ).
thf(2036,plain,
! [SV510: $i,SV90: $i] :
( ( ! [SY2711: $i,SY2712: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV90 @ SV510 @ SY2711 ) @ ( c_Set_Oinsert @ SV90 @ SY2712 @ SY2711 ) @ ( tc_fun @ SY2711 @ tc_bool ) )
| ~ ( c_lessequals @ SV510 @ SY2712 @ ( tc_fun @ SY2711 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1607]) ).
thf(2037,plain,
! [SV511: $i,SV91: $i] :
( ( ( c_lessequals @ SV91 @ SV511 @ tc_nat )
| ( c_lessequals @ SV511 @ SV91 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(2038,plain,
! [SV92: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV92 ) )
= $true )
| ( ( ! [SY1745: $i,SY1746: $i] :
( ( c_lessequals @ SY1745 @ SY1746 @ SV92 )
| ( c_lessequals @ SY1746 @ SY1745 @ SV92 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1609]) ).
thf(2039,plain,
! [SV512: $i,SV93: $i] :
( ( ! [SY2713: $i] :
( ( c_List_Orotate @ SV93 @ ( hAPP @ ( c_List_Orev @ SV512 ) @ SY2713 ) @ SV512 )
= ( hAPP @ ( c_List_Orev @ SV512 ) @ ( c_List_Orotate @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY2713 @ ( tc_List_Olist @ SV512 ) ) @ ( c_Divides_Odiv__class_Omod @ SV93 @ ( c_Nat_Osize__class_Osize @ SY2713 @ ( tc_List_Olist @ SV512 ) ) @ tc_nat ) @ tc_nat ) @ SY2713 @ SV512 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(2040,plain,
! [SV513: $i,SV94: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV94 @ ( c_List_Olist_ONil @ SV513 ) @ SV513 ) @ SV513 )
= ( c_List_Olist_ONil @ SV513 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1611]) ).
thf(2041,plain,
! [SV514: $i,SV95: $i] :
( ( ! [SY2714: $i] :
( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV95 @ SV514 @ SY2714 ) @ SY2714 )
= ( c_List_Olist_OCons @ SV95 @ ( c_List_Obutlast @ SV514 @ SY2714 ) @ SY2714 ) )
| ( SV514
= ( c_List_Olist_ONil @ SY2714 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1612]) ).
thf(2042,plain,
! [SV515: $i,SV96: $i] :
( ( ! [SY2715: $i] : ( c_lessequals @ ( c_List_Oset @ SV96 @ SV515 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY2715 @ SV96 @ SV515 ) @ SV515 ) @ ( tc_fun @ SV515 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1613]) ).
thf(2043,plain,
! [SV516: $i,SV97: $i] :
( ( ! [SY2716: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ SV97 @ SV516 @ SY2716 ) @ SY2716 )
= ( c_Set_Oinsert @ SV97 @ ( c_List_Oset @ SV516 @ SY2716 ) @ SY2716 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(2044,plain,
! [SV517: $i,SV98: $i] :
( ( ! [SY2717: $i] :
~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ SV98 @ SV517 @ SY2717 ) @ ( tc_List_Olist @ SY2717 ) ) @ ( c_Nat_Osize__class_Osize @ SV517 @ ( tc_List_Olist @ SY2717 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1615]) ).
thf(2045,plain,
! [SV518: $i,SV99: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV99 @ ( c_List_Olist_ONil @ SV518 ) @ SV518 ) @ SV518 )
= ( c_List_Obutlast @ SV99 @ SV518 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(2046,plain,
! [SV519: $i,SV100: $i] :
( ( ! [SY2718: $i] :
( ( ( c_List_Otl @ ( c_List_Oappend @ SV100 @ SV519 @ SY2718 ) @ SY2718 )
= ( c_List_Oappend @ ( c_List_Otl @ SV100 @ SY2718 ) @ SV519 @ SY2718 ) )
| ( SV100
= ( c_List_Olist_ONil @ SY2718 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1617]) ).
thf(2047,plain,
! [SV520: $i,SV101: $i] :
( ( ! [SY2719: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV101 @ SV520 @ SY2719 ) @ SY2719 )
= ( c_List_Oappend @ SV101 @ ( c_List_Obutlast @ SV520 @ SY2719 ) @ SY2719 ) )
| ( SV520
= ( c_List_Olist_ONil @ SY2719 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1618]) ).
thf(2048,plain,
! [SV521: $i,SV102: $i] :
( ( ! [SY2720: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Otake @ SV102 @ SV521 @ SY2720 ) @ SY2720 ) @ ( c_List_Oset @ SV521 @ SY2720 ) @ ( tc_fun @ SY2720 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(2049,plain,
! [SV522: $i,SV103: $i] :
( ( ! [SY2721: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ SV103 @ SV522 @ SY2721 ) @ SY2721 ) @ ( c_List_Oset @ SV522 @ SY2721 ) @ ( tc_fun @ SY2721 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1620]) ).
thf(2050,plain,
! [SV523: $i,SV104: $i] :
( ( ! [SY2722: $i] :
( ( ( c_List_Otake @ SV104 @ SV523 @ SY2722 )
= SV523 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV523 @ ( tc_List_Olist @ SY2722 ) ) @ SV104 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1621]) ).
thf(2051,plain,
! [SV524: $i,SV105: $i] :
( ( ! [SY2723: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Ofilter @ SV105 @ SV524 @ SY2723 ) @ ( tc_List_Olist @ SY2723 ) ) @ ( c_Nat_Osize__class_Osize @ SV524 @ ( tc_List_Olist @ SY2723 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1622]) ).
thf(2052,plain,
! [SV525: $i,SV106: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV106 )
| ! [SY2724: $i] :
( ( c_lessequals @ SV525 @ SY2724 @ SV106 )
| ! [SY2725: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV525 @ ( c_List_Olist_OCons @ SY2724 @ SY2725 @ SV106 ) @ SV106 ) @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(2053,plain,
! [SV526: $i,SV107: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV107 )
| ! [SY2726: $i,SY2727: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV526 @ ( c_List_Olist_OCons @ SY2726 @ SY2727 @ SV107 ) @ SV107 ) @ SV107 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2726 @ SY2727 @ SV107 ) @ SV107 )
| ~ ( c_lessequals @ SV526 @ SY2726 @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(2054,plain,
! [SV527: $i,SV108: $i] :
( ( ! [SY2728: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Odrop @ SV108 @ SV527 @ SY2728 ) @ SY2728 ) @ ( c_List_Oset @ SV527 @ SY2728 ) @ ( tc_fun @ SY2728 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1625]) ).
thf(2055,plain,
! [SV528: $i,SV109: $i] :
( ( ! [SY2729: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Odrop @ SV109 @ SV528 @ SY2729 ) @ ( tc_List_Olist @ SY2729 ) )
= ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SV528 @ ( tc_List_Olist @ SY2729 ) ) @ SV109 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(2056,plain,
! [SV529: $i,SV110: $i] :
( ( ! [SY2730: $i,SY2731: $i] :
( ( ( c_List_Olist__update @ SV110 @ SV529 @ SY2730 @ SY2731 )
= SV110 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV110 @ ( tc_List_Olist @ SY2731 ) ) @ SV529 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(2057,plain,
! [SV530: $i,SV111: $i] :
( ( ! [SY2732: $i] : ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_OdropWhile @ SV111 @ SV530 @ SY2732 ) @ ( tc_List_Olist @ SY2732 ) ) @ ( c_Nat_Osize__class_Osize @ SV530 @ ( tc_List_Olist @ SY2732 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(2058,plain,
! [SV531: $i,SV112: $i] :
( ( ! [SY2733: $i,SY2734: $i] :
( ( c_List_Odrop @ SV112 @ ( c_List_Otake @ SV531 @ SY2733 @ SY2734 ) @ SY2734 )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV531 @ SV112 @ tc_nat ) @ ( c_List_Odrop @ SV112 @ SY2733 @ SY2734 ) @ SY2734 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1629]) ).
thf(2059,plain,
! [SV532: $i,SV113: $i] :
( ( ! [SY2735: $i] :
( ( c_List_Orotate @ SV113 @ SV532 @ SY2735 )
= ( c_List_Orotate @ ( c_Divides_Odiv__class_Omod @ SV113 @ ( c_Nat_Osize__class_Osize @ SV532 @ ( tc_List_Olist @ SY2735 ) ) @ tc_nat ) @ SV532 @ SY2735 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1630]) ).
thf(2060,plain,
! [SV533: $i,SV114: $i] :
( ( ! [SY2736: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ SV114 @ SV533 @ SY2736 ) @ SY2736 ) @ ( c_List_Oset @ SV533 @ SY2736 ) @ ( tc_fun @ SY2736 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(2061,plain,
! [SV534: $i,SV115: $i] :
( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV115 @ SV534 ) @ ( tc_List_Olist @ SV534 ) ) @ ( c_Nat_Osize__class_Osize @ SV115 @ ( tc_List_Olist @ SV534 ) ) @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(2062,plain,
! [SV535: $i,SV116: $i] :
( ( ! [SY2737: $i,SY2738: $i,SY2739: $i] :
( ( hBOOL @ ( hAPP @ SV116 @ ( c_Message_Oagent_Oagent__case @ SV535 @ SY2737 @ SY2738 @ SY2739 @ t_a ) ) )
| ( SY2739 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( hAPP @ SY2737 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV116 @ SY2737 @ SY2739 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ SV535 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(2063,plain,
! [SV536: $i,SV117: $i] :
( ( ! [SY2740: $i,SY2741: $i,SY2742: $i] :
( ( ( hAPP @ SV117 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SY2740 @ SY2741 ) )
!= ( hAPP @ SY2740 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SY2740 @ SY2741 ) ) )
| ! [SY2743: $i,SY2744: $i] :
( ( c_Message_Oagent_Oagent__case @ SY2742 @ SV117 @ SY2743 @ SV536 @ SY2741 )
= ( c_Message_Oagent_Oagent__case @ SY2742 @ SY2740 @ SY2744 @ SV536 @ SY2741 ) )
| ( SV536 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1634]) ).
thf(2064,plain,
! [SV537: $i,SV118: $i] :
( ( ! [SY2745: $i,SY2746: $i,SY2747: $i] :
( ( hBOOL @ ( hAPP @ SV118 @ ( c_Message_Oagent_Oagent__case @ SV537 @ SY2745 @ SY2746 @ SY2747 @ t_a ) ) )
| ( SY2747 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( hAPP @ SY2745 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV118 @ SY2745 @ SY2747 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ SV537 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(2065,plain,
! [SV538: $i,SV119: $i] :
( ( ! [SY2748: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV119 @ SV538 ) @ ( c_Event_Oknows @ SV119 @ ( c_List_Olist_OCons @ SY2748 @ SV538 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1636]) ).
thf(2066,plain,
! [SV539: $i,SV120: $i] :
( ( ! [SY2749: $i,SY2750: $i] :
( ( c_List_Odrop @ SV120 @ ( c_List_Oreplicate @ SV539 @ SY2749 @ SY2750 ) @ SY2750 )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ SV539 @ SV120 @ tc_nat ) @ SY2749 @ SY2750 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1637]) ).
thf(2067,plain,
! [SV540: $i,SV121: $i] :
( ( ! [SY2751: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Osublist @ SV121 @ SV540 @ SY2751 ) @ SY2751 ) @ ( c_List_Oset @ SV121 @ SY2751 ) @ ( tc_fun @ SY2751 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1638]) ).
thf(2068,plain,
! [SV541: $i,SV122: $i] :
( ( ! [SY2752: $i,SY2753: $i,SY2754: $i] :
( ( hBOOL @ ( hAPP @ SV122 @ ( c_Message_Oagent_Oagent__case @ SV541 @ SY2752 @ SY2753 @ SY2754 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ SY2753 ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ ( hAPP @ SY2752 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV122 @ SY2752 @ SY2754 ) ) ) )
| ( SY2754 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1639]) ).
thf(2069,plain,
! [SV542: $i,SV123: $i] :
( ( ! [SY2755: $i,SY2756: $i,SY2757: $i] :
( ( hBOOL @ ( hAPP @ SV123 @ ( c_Message_Oagent_Oagent__case @ SV542 @ SY2755 @ SY2756 @ SY2757 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ SY2756 ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ ( hAPP @ SY2755 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV123 @ SY2755 @ SY2757 ) ) ) )
| ( SY2757 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1640]) ).
thf(2070,plain,
! [SV543: $i,SV124: $i] :
( ( ! [SY2758: $i,SY2759: $i,SY2760: $i] :
( ( ( hAPP @ SV124 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SY2758 @ SY2759 ) )
!= ( hAPP @ SY2758 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SY2758 @ SY2759 ) ) )
| ( SV543 = c_Message_Oagent_OServer )
| ! [SY2761: $i,SY2762: $i] :
( ( c_Message_Oagent_Oagent__case @ SY2760 @ SV124 @ SY2761 @ SV543 @ SY2759 )
= ( c_Message_Oagent_Oagent__case @ SY2762 @ SY2758 @ SY2761 @ SV543 @ SY2759 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(2071,plain,
! [SV544: $i,SV125: $i] :
( ( ! [SY2763: $i,SY2764: $i] :
( ( SV125
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV125 @ SV544 @ SY2763 @ SY2764 ) ) )
| ! [SY2765: $i,SY2766: $i] :
( ( c_Message_Oagent_Oagent__case @ SY2765 @ SV544 @ SY2766 @ SV125 @ SY2764 )
= ( c_Message_Oagent_Oagent__case @ SY2765 @ SY2763 @ SY2766 @ SV125 @ SY2764 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1642]) ).
thf(2072,plain,
! [SV545: $i,SV126: $i] :
( ( ! [SY2767: $i,SY2768: $i,SY2769: $i] :
( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV545 @ SY2767 @ SY2768 @ SY2769 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SY2768 ) )
| ( SY2769
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SY2767 @ SY2769 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SV545 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1643]) ).
thf(2073,plain,
! [SV546: $i,SV127: $i] :
( ( ! [SY2770: $i,SY2771: $i,SY2772: $i] :
( ( hBOOL @ ( hAPP @ SV127 @ ( c_Message_Oagent_Oagent__case @ SV546 @ SY2770 @ SY2771 @ SY2772 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SY2771 ) )
| ( SY2772
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV127 @ SY2770 @ SY2772 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SV546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(2074,plain,
! [SV547: $i,SV128: $i] :
( ( c_lessequals @ ( c_Event_OinitState @ SV128 ) @ ( c_Event_Oknows @ SV128 @ SV547 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(2075,plain,
! [SV129: $i] :
( ( ( ! [SY1843: $i] : ( hBOOL @ ( hAPP @ SV129 @ SY1843 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV129 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV129 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1646]) ).
thf(2076,plain,
! [SV130: $i] :
( ( ( ! [SY1844: $i] : ( hBOOL @ ( hAPP @ SV130 @ SY1844 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV130 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV130 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1647]) ).
thf(2077,plain,
! [SV131: $i] :
( ( ( ! [SY1845: $i] : ( hBOOL @ ( hAPP @ SV131 @ SY1845 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV131 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV131 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1648]) ).
thf(2078,plain,
! [SV132: $i] :
( ( ( ! [SY1846: $i] : ( hBOOL @ ( hAPP @ SV132 @ SY1846 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV132 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV132 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1649]) ).
thf(2079,plain,
! [SV133: $i] :
( ( ( ! [SY1847: $i] : ( hBOOL @ ( hAPP @ SV133 @ SY1847 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV133 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV133 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1650]) ).
thf(2080,plain,
! [SV134: $i] :
( ( ( ! [SY1848: $i] : ( hBOOL @ ( hAPP @ SV134 @ SY1848 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV134 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV134 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1651]) ).
thf(2081,plain,
! [SV135: $i] :
( ( ( ! [SY1849: $i] : ( hBOOL @ ( hAPP @ SV135 @ SY1849 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV135 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV135 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1652]) ).
thf(2082,plain,
! [SV136: $i] :
( ( ( ! [SY1850: $i] : ( hBOOL @ ( hAPP @ SV136 @ SY1850 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV136 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV136 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1653]) ).
thf(2083,plain,
! [SV137: $i] :
( ( ( ! [SY1851: $i] : ( hBOOL @ ( hAPP @ SV137 @ SY1851 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV137 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV137 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(2084,plain,
! [SV138: $i] :
( ( ( ! [SY1852: $i] : ( hBOOL @ ( hAPP @ SV138 @ SY1852 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV138 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV138 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1655]) ).
thf(2085,plain,
! [SV139: $i] :
( ( ( ! [SY1853: $i] : ( hBOOL @ ( hAPP @ SV139 @ SY1853 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV139 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV139 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1656]) ).
thf(2086,plain,
! [SV548: $i,SV140: $i] :
( ( ! [SY2773: $i] :
( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SY2773 @ SV548 )
!= SV140 )
| ! [SY2774: $i] :
( ( c_List_Oappend @ SY2773 @ SY2774 @ SV548 )
= ( c_List_Oappend @ SV140 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SY2773 @ SV548 ) @ SY2774 @ SV548 ) @ SV548 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SY2773 @ ( tc_List_Olist @ SV548 ) ) @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(2087,plain,
! [SV549: $i,SV141: $i] :
( ( ! [SY2775: $i] :
( ( SV141
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SY2775 @ SV549 ) )
| ! [SY2776: $i] :
( ( c_List_Oappend @ SV141 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SY2775 @ SV549 ) @ SY2776 @ SV549 ) @ SV549 )
= ( c_List_Oappend @ SY2775 @ SY2776 @ SV549 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ ( c_Nat_Osize__class_Osize @ SY2775 @ ( tc_List_Olist @ SV549 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1658]) ).
thf(2088,plain,
! [SV550: $i,SV142: $i] :
( ( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV142 )
| ! [SY2777: $i,SY2778: $i] :
( ( ( c_Finite__Set_Osetsum @ SV550 @ ( c_List_Oset @ SY2777 @ SY2778 ) @ SY2778 @ SV142 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV550 @ SY2777 @ SY2778 @ SV142 ) @ SV142 ) )
| ~ ( c_List_Odistinct @ SY2777 @ SY2778 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1659]) ).
thf(2089,plain,
! [SV551: $i,SV143: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Obutlast @ SV143 @ SV551 ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ SV143 @ SV551 ) @ ( c_List_Olist_ONil @ SV551 ) @ SV551 ) @ SV551 )
= SV143 )
| ( SV143
= ( c_List_Olist_ONil @ SV551 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1660]) ).
thf(2090,plain,
! [SV552: $i,SV144: $i] :
( ( ! [SY2779: $i] :
( ( hAPP @ ( c_List_Orev @ SV144 ) @ ( c_List_Otake @ SV552 @ SY2779 @ SV144 ) )
= ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY2779 @ ( tc_List_Olist @ SV144 ) ) @ SV552 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV144 ) @ SY2779 ) @ SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1661]) ).
thf(2091,plain,
! [SV553: $i,SV145: $i] :
( ( ! [SY2780: $i] :
( ( hAPP @ ( c_List_Orev @ SV145 ) @ ( c_List_Odrop @ SV553 @ SY2780 @ SV145 ) )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SY2780 @ ( tc_List_Olist @ SV145 ) ) @ SV553 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV145 ) @ SY2780 ) @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1662]) ).
thf(2092,plain,
! [SV146: $i] :
( ( ( ! [SY1868: $i,SY1869: $i] :
( ( c_Event_Oknows @ SV146 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV146 @ SY1868 ) @ SY1869 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY1868 @ ( c_Event_Oknows @ SV146 @ SY1869 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( SV146 = c_Message_Oagent_OSpy )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1663]) ).
thf(2093,plain,
! [SV554: $i,SV147: $i] :
( ( ! [SY2781: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV147 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV554 @ SY2781 ) @ SV147 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1664]) ).
thf(2094,plain,
! [SV555: $i,SV148: $i] :
( ( ! [SY2782: $i,SY2783: $i,SY2784: $i] :
( ( hBOOL @ ( hAPP @ SV148 @ ( c_Message_Oagent_Oagent__case @ SV555 @ SY2782 @ SY2783 @ SY2784 @ t_a ) ) )
| ( SY2784 = c_Message_Oagent_OSpy )
| ( SY2784
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV148 @ SY2782 @ SY2784 ) ) )
| ( SY2784 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1665]) ).
thf(2095,plain,
! [SV556: $i,SV149: $i] :
( ( ! [SY2785: $i,SY2786: $i,SY2787: $i,SY2788: $i,SY2789: $i] :
( ! [SY2790: $i] :
( ( c_Message_Oagent_Oagent__case @ SV149 @ SV556 @ SY2785 @ SY2786 @ SY2787 )
= ( c_Message_Oagent_Oagent__case @ SY2788 @ SY2789 @ SY2790 @ SY2786 @ SY2787 ) )
| ( SY2786 = c_Message_Oagent_OSpy )
| ( SY2786
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY2786 @ SV556 @ SY2789 @ SY2787 ) ) )
| ( SY2786 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1666]) ).
thf(2096,plain,
! [SV557: $i,SV150: $i] :
( ( ! [SY2791: $i,SY2792: $i,SY2793: $i] :
( ( hBOOL @ ( hAPP @ SV150 @ ( c_Message_Oagent_Oagent__case @ SV557 @ SY2791 @ SY2792 @ SY2793 @ t_a ) ) )
| ( SY2793 = c_Message_Oagent_OSpy )
| ( SY2793
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV150 @ SY2791 @ SY2793 ) ) )
| ( SY2793 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(2097,plain,
! [SV558: $i,SV151: $i] :
( ( ! [SY2794: $i] :
( ( c_List_Orotate @ SV151 @ SV558 @ SY2794 )
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Divides_Odiv__class_Omod @ SV151 @ ( c_Nat_Osize__class_Osize @ SV558 @ ( tc_List_Olist @ SY2794 ) ) @ tc_nat ) @ SV558 @ SY2794 ) @ ( c_List_Otake @ ( c_Divides_Odiv__class_Omod @ SV151 @ ( c_Nat_Osize__class_Osize @ SV558 @ ( tc_List_Olist @ SY2794 ) ) @ tc_nat ) @ SV558 @ SY2794 ) @ SY2794 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1668]) ).
thf(2098,plain,
! [SV559: $i,SV152: $i] :
( ( ( ( c_List_Orotate1 @ SV152 @ SV559 )
= ( c_List_Oappend @ ( c_List_Otl @ SV152 @ SV559 ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV152 @ SV559 ) @ ( c_List_Olist_ONil @ SV559 ) @ SV559 ) @ SV559 ) )
| ( SV152
= ( c_List_Olist_ONil @ SV559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1669]) ).
thf(2099,plain,
! [SV153: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV153 ) )
= $true )
| ( ( ! [SY1890: $i,SY1891: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SY1890 @ SY1891 @ SV153 ) @ SV153 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1891 @ SV153 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1670]) ).
thf(2100,plain,
! [SV560: $i,SV154: $i] :
( ( ! [SY2795: $i,SY2796: $i,SY2797: $i] :
( ( c_List_Otake @ SV154 @ ( c_List_Omap @ SV560 @ SY2795 @ SY2796 @ SY2797 ) @ SY2797 )
= ( c_List_Omap @ SV560 @ ( c_List_Otake @ SV154 @ SY2795 @ SY2796 ) @ SY2796 @ SY2797 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1671]) ).
thf(2101,plain,
! [SV561: $i,SV155: $i] :
( ( ! [SY2798: $i] :
( ( c_List_Oremdups @ ( c_List_Ofilter @ SV155 @ SV561 @ SY2798 ) @ SY2798 )
= ( c_List_Ofilter @ SV155 @ ( c_List_Oremdups @ SV561 @ SY2798 ) @ SY2798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1672]) ).
thf(2102,plain,
! [SV156: $i] :
( ( c_Message_Oagent_OServer
= ( c_Message_Oagent_OFriend @ SV156 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(2103,plain,
! [SV562: $i,SV157: $i] :
( ( ! [SY2799: $i,SY2800: $i,SY2801: $i,SY2802: $i] :
( ( c_List_Olist__all2 @ SV157 @ ( c_List_Otake @ SV562 @ SY2799 @ SY2800 ) @ ( c_List_Otake @ SV562 @ SY2801 @ SY2802 ) @ SY2800 @ SY2802 )
| ~ ( c_List_Olist__all2 @ SV157 @ SY2799 @ SY2801 @ SY2800 @ SY2802 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(2104,plain,
! [SV563: $i,SV158: $i] :
( ( ! [SY2803: $i,SY2804: $i] :
( ( c_Fun_Oinj__on @ SV158 @ ( c_List_Oset @ SV563 @ SY2803 ) @ SY2803 @ SY2804 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SV158 @ SV563 @ SY2803 @ SY2804 ) @ SY2804 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1675]) ).
thf(2105,plain,
! [SV564: $i,SV159: $i] :
( ( ! [SY2805: $i,SY2806: $i] :
( ! [SY2807: $i] :
( ( c_List_Olist_OCons @ SV159 @ SV564 @ SY2805 )
!= ( c_List_Ofilter @ SY2806 @ SY2807 @ SY2805 ) )
| ( hBOOL @ ( hAPP @ SY2806 @ SV159 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(2106,plain,
! [SV565: $i,SV160: $i] :
( ( ( SV160 = SV565 )
| ! [SY2808: $i] :
~ ( c_List_Olist__all2 @ ( c_fequal @ SY2808 ) @ SV160 @ SV565 @ SY2808 @ SY2808 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1677]) ).
thf(2107,plain,
! [SV566: $i,SV161: $i] :
( ( ! [SY2809: $i,SY2810: $i,SY2811: $i,SY2812: $i] :
( ( c_List_Ofoldl @ SV161 @ SV566 @ ( c_List_Olist_OCons @ SY2809 @ SY2810 @ SY2811 ) @ SY2812 @ SY2811 )
= ( c_List_Ofoldl @ SV161 @ ( hAPP @ ( hAPP @ SV161 @ SV566 ) @ SY2809 ) @ SY2810 @ SY2812 @ SY2811 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(2108,plain,
! [SV162: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV162 ) )
= $true )
| ( ( ! [SY1917: $i,SY1918: $i] :
( ( ( c_List_Oset @ SY1917 @ SV162 )
!= ( c_List_Oset @ SY1918 @ SV162 ) )
| ~ ( c_List_Odistinct @ SY1918 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1918 @ SV162 )
| ~ ( c_List_Odistinct @ SY1917 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1917 @ SV162 )
| ( SY1917 = SY1918 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1679]) ).
thf(2109,plain,
! [SV567: $i,SV163: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV163 )
| ! [SY2813: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV567 @ SY2813 @ SV163 ) @ SV163 )
| ! [SY2814: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2814 @ ( c_List_Olist_OCons @ SV567 @ SY2813 @ SV163 ) @ SV163 ) @ SV163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(2110,plain,
! [SV568: $i,SV164: $i] :
( ( ! [SY2815: $i,SY2816: $i,SY2817: $i,SY2818: $i,SY2819: $i] :
( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SV568 @ SY2815 @ SY2816 ) @ ( c_List_Oappend @ SY2817 @ SY2818 @ SY2819 ) @ SY2816 @ SY2819 )
| ~ ( c_List_Olist__all2 @ SV164 @ SY2815 @ SY2818 @ SY2816 @ SY2819 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV568 @ SY2817 @ SY2816 @ SY2819 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1681]) ).
thf(2111,plain,
! [SV569: $i,SV165: $i] :
( ( ! [SY2820: $i,SY2821: $i,SY2822: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SY2820 @ ( tc_List_Olist @ SY2821 ) ) )
| ! [SY2823: $i] :
( ( ( c_Nat_Osize__class_Osize @ SY2822 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SY2823 @ ( tc_List_Olist @ SY2821 ) ) )
| ! [SY2824: $i] :
( ( c_List_Olist__all2 @ SY2824 @ ( c_List_Oappend @ SY2822 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SY2823 @ SY2820 @ SY2821 ) @ SV569 @ SY2821 )
| ~ ( c_List_Olist__all2 @ SY2824 @ SV165 @ SY2820 @ SV569 @ SY2821 )
| ~ ( c_List_Olist__all2 @ SY2824 @ SY2822 @ SY2823 @ SV569 @ SY2821 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(2112,plain,
! [SV570: $i,SV166: $i] :
( ( ! [SY2825: $i,SY2826: $i,SY2827: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SY2825 @ ( tc_List_Olist @ SY2826 ) ) )
| ! [SY2828: $i] :
( ( ( c_Nat_Osize__class_Osize @ SY2827 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SY2828 @ ( tc_List_Olist @ SY2826 ) ) )
| ! [SY2829: $i] :
( ( c_List_Olist__all2 @ SY2829 @ ( c_List_Oappend @ SY2828 @ SY2825 @ SY2826 ) @ ( c_List_Oappend @ SY2827 @ SV166 @ SV570 ) @ SY2826 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY2829 @ SY2825 @ SV166 @ SY2826 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY2829 @ SY2828 @ SY2827 @ SY2826 @ SV570 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1683]) ).
thf(2113,plain,
! [SV571: $i,SV167: $i] :
( ( ! [SY2830: $i,SY2831: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV167 @ SV571 @ SY2830 ) @ SY2831 @ SY2830 )
= ( c_List_Olist_OCons @ SV167 @ ( c_List_Oappend @ SV571 @ SY2831 @ SY2830 ) @ SY2830 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1684]) ).
thf(2114,plain,
! [SV572: $i,SV168: $i] :
( ( ! [SY2832: $i,SY2833: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV168 @ SV572 @ SY2832 ) @ SY2833 @ SY2832 )
= ( c_List_Olist_OCons @ SV168 @ ( c_List_Oappend @ SV572 @ SY2833 @ SY2832 ) @ SY2832 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1685]) ).
thf(2115,plain,
! [SV573: $i,SV169: $i] :
( ( ! [SY2834: $i] :
( ~ ( hBOOL @ ( hAPP @ SV169 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV169 @ SV573 @ SY2834 ) @ SY2834 ) ) )
| ( ( c_List_OdropWhile @ SV169 @ SV573 @ SY2834 )
= ( c_List_Olist_ONil @ SY2834 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1686]) ).
thf(2116,plain,
! [SV574: $i,SV170: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV170 @ SV574 ) @ SV574 )
| ~ ( c_List_Odistinct @ SV170 @ SV574 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1687]) ).
thf(2117,plain,
! [SV575: $i,SV171: $i] :
( ( ( c_List_Odistinct @ SV171 @ SV575 )
| ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ SV171 @ SV575 ) @ SV575 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1688]) ).
thf(2118,plain,
! [SV576: $i,SV172: $i] :
( ( ! [SY2835: $i] :
( SV172
= ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV576 @ ( tc_List_Olist @ SY2835 ) ) @ ( c_List_Oappend @ SV576 @ SV172 @ SY2835 ) @ SY2835 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1689]) ).
thf(2119,plain,
! [SV577: $i,SV173: $i] :
( ( ! [SY2836: $i] :
( ( c_List_Odistinct @ ( c_List_Ofilter @ SV173 @ SV577 @ SY2836 ) @ SY2836 )
| ~ ( c_List_Odistinct @ SV577 @ SY2836 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(2120,plain,
! [SV578: $i,SV174: $i] :
( ( ! [SY2837: $i,SY2838: $i,SY2839: $i] :
( ( c_List_Omap @ SV174 @ ( c_List_Olist_OCons @ SV578 @ SY2837 @ SY2838 ) @ SY2838 @ SY2839 )
= ( c_List_Olist_OCons @ ( hAPP @ SV174 @ SV578 ) @ ( c_List_Omap @ SV174 @ SY2837 @ SY2838 @ SY2839 ) @ SY2839 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(2121,plain,
! [SV579: $i,SV175: $i] :
( ( ! [SY2840: $i,SY2841: $i,SY2842: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ SV175 @ SV579 ) @ ( c_List_Omap @ SV175 @ SY2840 @ SY2841 @ SY2842 ) @ SY2842 )
= ( c_List_Omap @ SV175 @ ( c_List_Olist_OCons @ SV579 @ SY2840 @ SY2841 ) @ SY2841 @ SY2842 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(2122,plain,
! [SV580: $i,SV176: $i] :
( ( ! [SY2843: $i,SY2844: $i,SY2845: $i] :
( ( c_List_Omap @ SV176 @ ( c_List_Olist_OCons @ SV580 @ SY2843 @ SY2844 ) @ SY2844 @ SY2845 )
= ( c_List_Olist_OCons @ ( hAPP @ SV176 @ SV580 ) @ ( c_List_Omap @ SV176 @ SY2843 @ SY2844 @ SY2845 ) @ SY2845 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1693]) ).
thf(2123,plain,
! [SV581: $i,SV177: $i] :
( ( ! [SY2846: $i,SY2847: $i,SY2848: $i,SY2849: $i] :
( ( c_List_Olist_Olist__case @ SV177 @ SV581 @ ( c_List_Olist_OCons @ SY2846 @ SY2847 @ SY2848 ) @ SY2849 @ SY2848 )
= ( hAPP @ ( hAPP @ SV581 @ SY2846 ) @ SY2847 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1694]) ).
thf(2124,plain,
! [SV582: $i,SV178: $i] :
( ( ! [SY2850: $i] :
( ( c_List_Oremove1 @ SV178 @ ( c_List_Olist_OCons @ SV178 @ SV582 @ SY2850 ) @ SY2850 )
= SV582 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1695]) ).
thf(2125,plain,
! [SV179: $i] :
( ( ( c_Message_Oagent_OFriend @ SV179 )
= c_Message_Oagent_OServer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1696]) ).
thf(2126,plain,
! [SV583: $i,SV180: $i] :
( ( ! [SY2851: $i,SY2852: $i,SY2853: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV180 @ SV583 ) @ SY2851 ) )
| ! [SY2854: $i,SY2855: $i] :
~ ( c_List_Olist__all2 @ SV180 @ ( c_List_Olist_OCons @ SV583 @ SY2852 @ SY2853 ) @ ( c_List_Olist_OCons @ SY2851 @ SY2854 @ SY2855 ) @ SY2853 @ SY2855 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1697]) ).
thf(2127,plain,
! [SV584: $i,SV181: $i] :
( ( ! [SY2856: $i,SY2857: $i] :
( ( c_List_Olist_OCons @ SV181 @ ( c_List_Oappend @ SV584 @ SY2856 @ SY2857 ) @ SY2857 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV181 @ SV584 @ SY2857 ) @ SY2856 @ SY2857 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1698]) ).
thf(2128,plain,
! [SV585: $i,SV182: $i] :
( ( ! [SY2858: $i,SY2859: $i] :
( ( c_List_Olist_OCons @ SV182 @ ( c_List_Oappend @ SV585 @ SY2858 @ SY2859 ) @ SY2859 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV182 @ SV585 @ SY2859 ) @ SY2858 @ SY2859 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(2129,plain,
! [SV586: $i,SV183: $i] :
( ( ! [SY2860: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV183 @ SV586 @ SY2860 ) @ SY2860 )
= ( c_List_Olast @ SV586 @ SY2860 ) )
| ( SV586
= ( c_List_Olist_ONil @ SY2860 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(2130,plain,
! [SV587: $i,SV184: $i] :
( ( ! [SY2861: $i,SY2862: $i] :
( ( c_Message_Oagent_Oagent__case @ SV184 @ SV587 @ SY2861 @ c_Message_Oagent_OServer @ SY2862 )
= SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1701]) ).
thf(2131,plain,
! [SV588: $i,SV185: $i] :
( ( ! [SY2863: $i,SY2864: $i] :
( ( c_List_Odistinct @ ( c_List_Omap @ SV185 @ SV588 @ SY2863 @ SY2864 ) @ SY2864 )
| ~ ( c_Fun_Oinj__on @ SV185 @ ( c_List_Oset @ SV588 @ SY2863 ) @ SY2863 @ SY2864 )
| ~ ( c_List_Odistinct @ SV588 @ SY2863 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1702]) ).
thf(2132,plain,
! [SV589: $i,SV186: $i] :
( ( ! [SY2865: $i] :
( ( c_List_Oappend @ ( c_List_Otake @ SV186 @ SV589 @ SY2865 ) @ ( c_List_Odrop @ SV186 @ SV589 @ SY2865 ) @ SY2865 )
= SV589 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(2133,plain,
! [SV187: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV187 ) )
= $true )
| ( ( ! [SY1995: $i] :
( ( c_List_Olinorder__class_Osorted @ SY1995 @ SV187 )
| ! [SY1996: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1996 @ SY1995 @ SV187 ) @ SV187 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1704]) ).
thf(2134,plain,
! [SV590: $i,SV188: $i] :
( ( ! [SY2866: $i] :
( ( c_List_Odistinct @ ( c_List_Odrop @ SV188 @ SV590 @ SY2866 ) @ SY2866 )
| ~ ( c_List_Odistinct @ SV590 @ SY2866 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(2135,plain,
! [SV591: $i,SV189: $i] :
( ( ! [SY2867: $i] :
( ( c_List_Olist__all @ SV189 @ SV591 @ SY2867 )
| ! [SY2868: $i] :
~ ( c_List_Olist__all @ SV189 @ ( c_List_Olist_OCons @ SY2868 @ SV591 @ SY2867 ) @ SY2867 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(2136,plain,
! [SV592: $i,SV190: $i] :
( ( ( ( c_List_Oremdups @ SV190 @ SV592 )
!= SV190 )
| ( c_List_Odistinct @ SV190 @ SV592 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1707]) ).
thf(2137,plain,
! [SV593: $i,SV191: $i] :
( ( ( ( c_List_Oremdups @ SV191 @ SV593 )
= SV191 )
| ~ ( c_List_Odistinct @ SV191 @ SV593 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(2138,plain,
! [SV594: $i,SV192: $i] :
( ( ( hBOOL @ ( hAPP @ SV192 @ SV594 ) )
| ! [SY2869: $i,SY2870: $i] :
~ ( c_List_Olist__all @ SV192 @ ( c_List_Olist_OCons @ SV594 @ SY2869 @ SY2870 ) @ SY2870 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1709]) ).
thf(2139,plain,
! [SV595: $i,SV193: $i] :
( ( ! [SY2871: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ SV193 @ SV595 @ SY2871 ) @ SY2871 )
= ( c_List_Ohd @ SV193 @ SY2871 ) )
| ( SV193
= ( c_List_Olist_ONil @ SY2871 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1710]) ).
thf(2140,plain,
! [SV596: $i,SV194: $i] :
( ( ! [SY2872: $i,SY2873: $i,SY2874: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
!= ( c_Nat_Osize__class_Osize @ SY2872 @ ( tc_List_Olist @ SY2873 ) ) )
| ! [SY2875: $i,SY2876: $i] :
( ( c_List_Olist__all2 @ SY2874 @ ( c_List_Oappend @ SV194 @ SY2875 @ SV596 ) @ ( c_List_Oappend @ SY2872 @ SY2876 @ SY2873 ) @ SV596 @ SY2873 )
| ~ ( c_List_Olist__all2 @ SY2874 @ SY2875 @ SY2876 @ SV596 @ SY2873 )
| ~ ( c_List_Olist__all2 @ SY2874 @ SV194 @ SY2872 @ SV596 @ SY2873 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1711]) ).
thf(2141,plain,
! [SV597: $i,SV195: $i] :
( ( ! [SY2877: $i] :
( ( c_List_Olist_OCons @ SV195 @ SV597 @ SY2877 )
!= SV597 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1712]) ).
thf(2142,plain,
! [SV598: $i,SV196: $i] :
( ( ! [SY2878: $i] :
( SV196
!= ( c_List_Olist_OCons @ SV598 @ SV196 @ SY2878 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1713]) ).
thf(2143,plain,
! [SV599: $i,SV197: $i] :
( ( ! [SY2879: $i] :
( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ SV197 @ SV599 @ SY2879 ) @ SY2879 )
= ( c_List_Oappend @ SV599 @ ( c_List_Olist_OCons @ SV197 @ ( c_List_Olist_ONil @ SY2879 ) @ SY2879 ) @ SY2879 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1714]) ).
thf(2144,plain,
! [SV600: $i,SV198: $i] :
( ( ! [SY2880: $i,SY2881: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ SV198 @ SV600 @ SY2880 @ SY2881 ) @ ( tc_List_Olist @ SY2881 ) )
= ( c_Nat_Osize__class_Osize @ SV198 @ ( tc_List_Olist @ SY2881 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1715]) ).
thf(2145,plain,
! [SV601: $i,SV199: $i] :
( ( ! [SY2882: $i] :
( ( c_List_Olist_OCons @ SV199 @ SV601 @ SY2882 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SY2882 ) @ ( c_List_Olist_OCons @ SV199 @ SV601 @ SY2882 ) @ SY2882 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1716]) ).
thf(2146,plain,
! [SV602: $i,SV200: $i] :
( ( ! [SY2883: $i,SY2884: $i,SY2885: $i,SY2886: $i] :
( ( c_List_Omap @ SV200 @ ( c_List_Olist__update @ SV602 @ SY2883 @ SY2884 @ SY2885 ) @ SY2885 @ SY2886 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV200 @ SV602 @ SY2885 @ SY2886 ) @ SY2883 @ ( hAPP @ SV200 @ SY2884 ) @ SY2886 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1717]) ).
thf(2147,plain,
! [SV603: $i,SV201: $i] :
( ( ! [SY2887: $i,SY2888: $i,SY2889: $i] :
( ( c_Message_Oagent_Oagent__case @ SV201 @ SV603 @ SY2887 @ ( c_Message_Oagent_OFriend @ SY2888 ) @ SY2889 )
= ( hAPP @ SV603 @ SY2888 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1718]) ).
thf(2148,plain,
! [SV604: $i,SV202: $i] :
( ( ! [SY2890: $i,SY2891: $i] :
( ( c_List_Olist__all @ SV202 @ ( c_List_Oappend @ SV604 @ SY2890 @ SY2891 ) @ SY2891 )
| ~ ( c_List_Olist__all @ SV202 @ SY2890 @ SY2891 )
| ~ ( c_List_Olist__all @ SV202 @ SV604 @ SY2891 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1719]) ).
thf(2149,plain,
! [SV203: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV203 ) )
= $true )
| ( ( ! [SY2038: $i] : ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2038 @ ( c_List_Olist_ONil @ SV203 ) @ SV203 ) @ SV203 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1720]) ).
thf(2150,plain,
! [SV605: $i,SV204: $i] :
( ( ! [SY2892: $i] :
( ( c_List_Odistinct @ ( c_List_Otake @ SV204 @ SV605 @ SY2892 ) @ SY2892 )
| ~ ( c_List_Odistinct @ SV605 @ SY2892 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1721]) ).
thf(2151,plain,
! [SV606: $i,SV205: $i] :
( ( ! [SY2893: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV205 @ SV606 @ SY2893 ) @ ( c_List_Olist_OCons @ SV606 @ ( c_List_Olist_ONil @ SY2893 ) @ SY2893 ) @ SY2893 )
= ( c_List_Olist_OCons @ SV606 @ ( c_List_Oreplicate @ SV205 @ SV606 @ SY2893 ) @ SY2893 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(2152,plain,
! [SV607: $i,SV206: $i] :
( ( ! [SY2894: $i,SY2895: $i,SY2896: $i,SY2897: $i] :
( ( c_List_Ofoldl @ SV206 @ SV607 @ ( c_List_Oappend @ SY2894 @ SY2895 @ SY2896 ) @ SY2897 @ SY2896 )
= ( c_List_Ofoldl @ SV206 @ ( c_List_Ofoldl @ SV206 @ SV607 @ SY2894 @ SY2897 @ SY2896 ) @ SY2895 @ SY2897 @ SY2896 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1723]) ).
thf(2153,plain,
! [SV608: $i,SV207: $i] :
( ( ( c_List_Odistinct @ SV207 @ SV608 )
| ! [SY2898: $i] :
~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SY2898 @ SV207 @ SV608 ) @ SV608 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1724]) ).
thf(2154,plain,
! [SV609: $i,SV208: $i] :
( ( ! [SY2899: $i,SY2900: $i] :
( ( c_List_Ofilter @ SV208 @ ( c_List_Oappend @ SV609 @ SY2899 @ SY2900 ) @ SY2900 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV208 @ SV609 @ SY2900 ) @ ( c_List_Ofilter @ SV208 @ SY2899 @ SY2900 ) @ SY2900 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(2155,plain,
! [SV610: $i,SV209: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV209 )
!= ( c_Message_Oagent_OFriend @ SV610 ) )
| ( SV209 = SV610 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1726]) ).
thf(2156,plain,
! [SV611: $i,SV211: $i] :
( ( ! [SY2901: $i] :
( ! [SY2902: $i] :
( ( c_List_Omap @ SV211 @ SV611 @ SY2901 @ SY2902 )
!= ( c_List_Olist_ONil @ SY2902 ) )
| ( SV611
= ( c_List_Olist_ONil @ SY2901 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1728]) ).
thf(2157,plain,
! [SV612: $i,SV212: $i] :
( ( ! [SY2903: $i] : ( c_List_Olist__all2 @ SV212 @ ( c_List_Olist_ONil @ SV612 ) @ ( c_List_Olist_ONil @ SY2903 ) @ SV612 @ SY2903 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1729]) ).
thf(2158,plain,
! [SV613: $i,SV213: $i] :
( ( ( SV213
= ( c_List_Olist_ONil @ SV613 ) )
| ~ ( c_List_Onull @ SV213 @ SV613 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(2159,plain,
! [SV614: $i,SV215: $i] :
( ( ! [SY2904: $i] :
( ( SV215
!= ( c_List_Oappend @ SV614 @ SV215 @ SY2904 ) )
| ( SV614
= ( c_List_Olist_ONil @ SY2904 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1732]) ).
thf(2160,plain,
! [SV615: $i,SV216: $i] :
( ( ! [SY2905: $i] :
( ( ( c_List_Oappend @ SV216 @ SV615 @ SY2905 )
!= SV615 )
| ( SV216
= ( c_List_Olist_ONil @ SY2905 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1733]) ).
thf(2161,plain,
! [SV616: $i,SV217: $i] :
( ( ! [SY2906: $i] :
( ( SV217
!= ( c_List_Oappend @ SV217 @ SV616 @ SY2906 ) )
| ( SV616
= ( c_List_Olist_ONil @ SY2906 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1734]) ).
thf(2162,plain,
! [SV617: $i,SV218: $i] :
( ( ! [SY2907: $i] :
( ( ( c_List_Oappend @ SV218 @ SV617 @ SY2907 )
!= SV218 )
| ( SV617
= ( c_List_Olist_ONil @ SY2907 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1735]) ).
thf(2163,plain,
! [SV618: $i,SV219: $i] :
( ( ( ( c_List_Oremdups @ SV219 @ SV618 )
!= ( c_List_Olist_ONil @ SV618 ) )
| ( SV219
= ( c_List_Olist_ONil @ SV618 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1736]) ).
thf(2164,plain,
! [SV619: $i,SV220: $i] :
( ( ! [SY2908: $i] :
( ( ( c_List_Orotate @ SV220 @ SV619 @ SY2908 )
!= ( c_List_Olist_ONil @ SY2908 ) )
| ( SV619
= ( c_List_Olist_ONil @ SY2908 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1737]) ).
thf(2165,plain,
! [SV620: $i,SV221: $i] :
( ( ( SV221
= ( c_List_Olist_ONil @ SV620 ) )
| ! [SY2909: $i,SY2910: $i] :
~ ( c_List_Olist__all2 @ SY2909 @ SV221 @ ( c_List_Olist_ONil @ SY2910 ) @ SV620 @ SY2910 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1738]) ).
thf(2166,plain,
! [SV621: $i,SV222: $i] :
( ( ( SV222
= ( c_List_Olist_ONil @ SV621 ) )
| ! [SY2911: $i,SY2912: $i] :
~ ( c_List_Olist__all2 @ SY2911 @ ( c_List_Olist_ONil @ SY2912 ) @ SV222 @ SY2912 @ SV621 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1739]) ).
thf(2167,plain,
! [SV622: $i,SV224: $i] :
( ( ! [SY2913: $i] :
( ( c_List_Olist_ONil @ SV224 )
!= ( c_List_Olist_OCons @ SV622 @ SY2913 @ SV224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1741]) ).
thf(2168,plain,
! [SV623: $i,SV225: $i] :
( ( ! [SY2914: $i] :
( ( ( c_List_Oappend @ SV225 @ SV623 @ SY2914 )
!= ( c_List_Olist_ONil @ SY2914 ) )
| ( SV623
= ( c_List_Olist_ONil @ SY2914 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1742]) ).
thf(2169,plain,
! [SV624: $i,SV226: $i] :
( ( ! [SY2915: $i] :
( ( ( c_List_Oappend @ SV226 @ SV624 @ SY2915 )
!= ( c_List_Olist_ONil @ SY2915 ) )
| ( SV226
= ( c_List_Olist_ONil @ SY2915 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(2170,plain,
! [SV625: $i,SV227: $i] :
( ( ! [SY2916: $i] :
( ( ( c_List_Olist_ONil @ SV227 )
!= ( c_List_Oappend @ SV625 @ SY2916 @ SV227 ) )
| ( SY2916
= ( c_List_Olist_ONil @ SV227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(2171,plain,
! [SV626: $i,SV228: $i] :
( ( ! [SY2917: $i] :
( ( c_List_Olist_ONil @ SV228 )
!= ( c_List_Oappend @ SV626 @ SY2917 @ SV228 ) )
| ( SV626
= ( c_List_Olist_ONil @ SV228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1745]) ).
thf(2172,plain,
! [SV627: $i,SV229: $i] :
( ( ! [SY2918: $i,SY2919: $i] :
( ( c_List_Ofilter @ SV229 @ ( c_List_Olist_OCons @ SV627 @ SY2918 @ SY2919 ) @ SY2919 )
= ( c_List_Olist_OCons @ SV627 @ ( c_List_Ofilter @ SV229 @ SY2918 @ SY2919 ) @ SY2919 ) )
| ~ ( hBOOL @ ( hAPP @ SV229 @ SV627 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1746]) ).
thf(2173,plain,
! [SV628: $i,SV230: $i] :
( ( ! [SY2920: $i] :
( ( c_List_Olistsp @ SV230 @ SV628 @ SY2920 )
| ! [SY2921: $i] :
~ ( c_List_Olistsp @ SV230 @ ( c_List_Oappend @ SV628 @ SY2921 @ SY2920 ) @ SY2920 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1747]) ).
thf(2174,plain,
! [SV629: $i,SV231: $i] :
( ( ! [SY2922: $i] :
( ( c_List_Olistsp @ SV231 @ SV629 @ SY2922 )
| ! [SY2923: $i] :
~ ( c_List_Olistsp @ SV231 @ ( c_List_Oappend @ SY2923 @ SV629 @ SY2922 ) @ SY2922 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1748]) ).
thf(2175,plain,
! [SV630: $i,SV232: $i] :
( ( ! [SY2924: $i,SY2925: $i] :
( ! [SY2926: $i] :
( ( c_List_Oreplicate @ SV232 @ SV630 @ SY2924 )
!= ( c_List_Oreplicate @ SY2925 @ SY2926 @ SY2924 ) )
| ( SV232 = SY2925 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(2176,plain,
! [SV631: $i,SV233: $i] :
( ( ! [SY2927: $i,SY2928: $i] :
( ( ( c_List_Oappend @ SV233 @ SV631 @ SY2927 )
!= ( c_List_Oappend @ SY2928 @ SV631 @ SY2927 ) )
| ( SV233 = SY2928 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1750]) ).
thf(2177,plain,
! [SV632: $i,SV234: $i] :
( ( ! [SY2929: $i,SY2930: $i] :
( ( ( c_List_Oappend @ SV234 @ SV632 @ SY2929 )
!= ( c_List_Oappend @ SV234 @ SY2930 @ SY2929 ) )
| ( SV632 = SY2930 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1751]) ).
thf(2178,plain,
! [SV235: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV235 ) )
= $true )
| ( ( ! [SY2106: $i,SY2107: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SY2106 @ SY2107 @ SV235 ) @ SV235 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2107 @ SV235 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1752]) ).
thf(2179,plain,
! [SV633: $i,SV236: $i] :
( ( ! [SY2931: $i,SY2932: $i] :
( ! [SY2933: $i] :
( ( c_List_Ofilter @ SV236 @ SV633 @ SY2931 )
!= ( c_List_Olist_OCons @ SY2932 @ SY2933 @ SY2931 ) )
| ( hBOOL @ ( hAPP @ SV236 @ SY2932 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1753]) ).
thf(2180,plain,
! [SV634: $i,SV237: $i] :
( ( ! [SY2934: $i,SY2935: $i,SY2936: $i] :
( ( c_List_Olist__all2 @ SV237 @ SV634 @ SY2934 @ SY2935 @ SY2936 )
| ! [SY2937: $i,SY2938: $i] :
~ ( c_List_Olist__all2 @ SV237 @ ( c_List_Olist_OCons @ SY2937 @ SV634 @ SY2935 ) @ ( c_List_Olist_OCons @ SY2938 @ SY2934 @ SY2936 ) @ SY2935 @ SY2936 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1754]) ).
thf(2181,plain,
! [SV635: $i,SV238: $i] :
( ( ! [SY2939: $i,SY2940: $i,SY2941: $i] :
( ( c_List_Orotate @ SV238 @ ( c_List_Omap @ SV635 @ SY2939 @ SY2940 @ SY2941 ) @ SY2941 )
= ( c_List_Omap @ SV635 @ ( c_List_Orotate @ SV238 @ SY2939 @ SY2940 ) @ SY2940 @ SY2941 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1755]) ).
thf(2182,plain,
! [SV636: $i,SV239: $i] :
( ( ( c_List_Odistinct @ SV239 @ SV636 )
| ! [SY2942: $i] :
~ ( c_List_Odistinct @ ( c_List_Oappend @ SV239 @ SY2942 @ SV636 ) @ SV636 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1756]) ).
thf(2183,plain,
! [SV637: $i,SV240: $i] :
( ( ( c_List_Odistinct @ SV240 @ SV637 )
| ! [SY2943: $i] :
~ ( c_List_Odistinct @ ( c_List_Oappend @ SY2943 @ SV240 @ SV637 ) @ SV637 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1757]) ).
thf(2184,plain,
! [SV638: $i,SV241: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV241 @ SV638 ) @ ( tc_List_Olist @ SV638 ) )
!= ( c_Nat_Osize__class_Osize @ SV241 @ ( tc_List_Olist @ SV638 ) ) )
| ( ( c_List_Oremdups @ SV241 @ SV638 )
= SV241 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1758]) ).
thf(2185,plain,
! [SV639: $i,SV242: $i] :
( ( ( ( c_List_Oremdups @ SV242 @ SV639 )
!= SV242 )
| ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV242 @ SV639 ) @ ( tc_List_Olist @ SV639 ) )
= ( c_Nat_Osize__class_Osize @ SV242 @ ( tc_List_Olist @ SV639 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1759]) ).
thf(2186,plain,
! [SV640: $i,SV243: $i] :
( ( ! [SY2944: $i] :
( SV243
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV243 @ ( tc_List_Olist @ SV640 ) ) @ ( c_List_Oappend @ SV243 @ SY2944 @ SV640 ) @ SV640 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1760]) ).
thf(2187,plain,
! [SV641: $i,SV244: $i] :
( ( ! [SY2945: $i,SY2946: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ SV244 @ SV641 @ SY2945 @ SY2946 ) @ ( tc_List_Olist @ SY2946 ) )
= ( c_Nat_Osize__class_Osize @ SV641 @ ( tc_List_Olist @ SY2945 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1761]) ).
thf(2188,plain,
! [SV642: $i,SV245: $i] :
( ( ! [SY2947: $i] :
( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV245 @ SV642 @ SY2947 ) @ SY2947 )
| ~ ( c_List_Odistinct @ SV642 @ SY2947 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1762]) ).
thf(2189,plain,
! [SV643: $i,SV246: $i] :
( ( ! [SY2948: $i,SY2949: $i,SY2950: $i] :
( ( c_List_Omap @ SV246 @ ( c_List_Oreplicate @ SV643 @ SY2948 @ SY2949 ) @ SY2949 @ SY2950 )
= ( c_List_Oreplicate @ SV643 @ ( hAPP @ SV246 @ SY2948 ) @ SY2950 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1763]) ).
thf(2190,plain,
! [SV644: $i,SV247: $i] :
( ( ! [SY2951: $i,SY2952: $i,SY2953: $i,SY2954: $i] :
( ( c_List_Ofoldr @ SV247 @ ( c_List_Oappend @ SV644 @ SY2951 @ SY2952 ) @ SY2953 @ SY2952 @ SY2954 )
= ( c_List_Ofoldr @ SV247 @ SV644 @ ( c_List_Ofoldr @ SV247 @ SY2951 @ SY2953 @ SY2952 @ SY2954 ) @ SY2952 @ SY2954 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1764]) ).
thf(2191,plain,
! [SV645: $i,SV248: $i] :
( ( ! [SY2955: $i,SY2956: $i] : ( c_List_Olist__ex @ SV248 @ ( c_List_Olist_OCons @ SV645 @ SY2955 @ SY2956 ) @ SY2956 )
| ~ ( hBOOL @ ( hAPP @ SV248 @ SV645 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1765]) ).
thf(2192,plain,
! [SV646: $i,SV249: $i] :
( ( ! [SY2957: $i,SY2958: $i] :
( ! [SY2959: $i] :
( ( c_List_OdropWhile @ SV249 @ SV646 @ SY2957 )
!= ( c_List_Olist_OCons @ SY2958 @ SY2959 @ SY2957 ) )
| ~ ( hBOOL @ ( hAPP @ SV249 @ SY2958 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1766]) ).
thf(2193,plain,
! [SV647: $i,SV250: $i] :
( ( ! [SY2960: $i,SY2961: $i,SY2962: $i,SY2963: $i,SY2964: $i] :
( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SV647 @ SY2960 @ SY2961 ) @ ( c_List_Olist_OCons @ SY2962 @ SY2963 @ SY2964 ) @ SY2961 @ SY2964 )
| ~ ( c_List_Olist__all2 @ SV250 @ SY2960 @ SY2963 @ SY2961 @ SY2964 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SV647 ) @ SY2962 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1767]) ).
thf(2194,plain,
! [SV648: $i,SV251: $i] :
( ( ! [SY2965: $i,SY2966: $i,SY2967: $i,SY2968: $i,SY2969: $i] :
( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SV648 @ SY2965 @ SY2966 ) @ ( c_List_Olist_OCons @ SY2967 @ SY2968 @ SY2969 ) @ SY2966 @ SY2969 )
| ~ ( c_List_Olist__all2 @ SV251 @ SY2965 @ SY2968 @ SY2966 @ SY2969 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SV648 ) @ SY2967 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1768]) ).
thf(2195,plain,
! [SV649: $i,SV252: $i] :
( ( ! [SY2970: $i,SY2971: $i,SY2972: $i,SY2973: $i,SY2974: $i] :
( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SV649 @ SY2970 @ SY2971 ) @ ( c_List_Olist_OCons @ SY2972 @ SY2973 @ SY2974 ) @ SY2971 @ SY2974 )
| ~ ( c_List_Olist__all2 @ SV252 @ SY2970 @ SY2973 @ SY2971 @ SY2974 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SV649 ) @ SY2972 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1769]) ).
thf(2196,plain,
! [SV650: $i,SV253: $i] :
( ( ! [SY2975: $i,SY2976: $i] :
( ( c_List_Olist__ex @ SV253 @ ( c_List_Olist_OCons @ SV650 @ SY2975 @ SY2976 ) @ SY2976 )
| ~ ( c_List_Olist__ex @ SV253 @ SY2975 @ SY2976 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1770]) ).
thf(2197,plain,
! [SV651: $i,SV254: $i] :
( ( ! [SY2977: $i] :
( ( c_List_Olist__ex @ SV254 @ SV651 @ SY2977 )
| ! [SY2978: $i] :
( ( hBOOL @ ( hAPP @ SV254 @ SY2978 ) )
| ~ ( c_List_Olist__ex @ SV254 @ ( c_List_Olist_OCons @ SY2978 @ SV651 @ SY2977 ) @ SY2977 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1771]) ).
thf(2198,plain,
! [SV652: $i,SV255: $i] :
( ( ! [SY2979: $i,SY2980: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV255 @ ( tc_List_Olist @ SV652 ) )
= ( c_Nat_Osize__class_Osize @ SY2979 @ ( tc_List_Olist @ SY2980 ) ) )
| ! [SY2981: $i] :
~ ( c_List_Olist__all2 @ SY2981 @ SV255 @ SY2979 @ SV652 @ SY2980 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1772]) ).
thf(2199,plain,
! [SV653: $i,SV256: $i] :
( ( ! [SY2982: $i] :
( ! [SY2983: $i] :
( ( c_List_Ofilter @ SV256 @ ( c_List_Oreplicate @ SV653 @ SY2982 @ SY2983 ) @ SY2983 )
= ( c_List_Oreplicate @ SV653 @ SY2982 @ SY2983 ) )
| ~ ( hBOOL @ ( hAPP @ SV256 @ SY2982 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1773]) ).
thf(2200,plain,
! [SV654: $i,SV257: $i] :
( ( ! [SY2984: $i,SY2985: $i,SY2986: $i,SY2987: $i] :
( ( c_List_Olistrelp @ SV257 @ ( c_List_Olist_OCons @ SV654 @ SY2984 @ SY2985 ) @ ( c_List_Olist_OCons @ SY2986 @ SY2987 @ SY2985 ) @ SY2985 )
| ~ ( c_List_Olistrelp @ SV257 @ SY2984 @ SY2987 @ SY2985 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV257 @ SV654 ) @ SY2986 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1774]) ).
thf(2201,plain,
! [SV655: $i,SV258: $i] :
( ( ! [SY2988: $i,SY2989: $i] :
( ( c_List_Oremove1 @ SV258 @ ( c_List_Olist_OCons @ SV655 @ SY2988 @ SY2989 ) @ SY2989 )
= ( c_List_Olist_OCons @ SV655 @ ( c_List_Oremove1 @ SV258 @ SY2988 @ SY2989 ) @ SY2989 ) )
| ( SV258 = SV655 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1775]) ).
thf(2202,plain,
! [SV656: $i,SV259: $i] :
( ( ! [SY2990: $i] :
( ( c_List_Odistinct @ ( c_List_Osublist @ SV259 @ SV656 @ SY2990 ) @ SY2990 )
| ~ ( c_List_Odistinct @ SV259 @ SY2990 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1776]) ).
thf(2203,plain,
! [SV657: $i,SV260: $i] :
( ( ! [SY2991: $i,SY2992: $i,SY2993: $i] :
( ( ( c_List_Omap @ SV260 @ SV657 @ SY2991 @ SY2992 )
!= ( c_List_Omap @ SV260 @ SY2993 @ SY2991 @ SY2992 ) )
| ( ( c_Nat_Osize__class_Osize @ SV657 @ ( tc_List_Olist @ SY2991 ) )
= ( c_Nat_Osize__class_Osize @ SY2993 @ ( tc_List_Olist @ SY2991 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(2204,plain,
! [SV658: $i,SV261: $i] :
( ( ! [SY2994: $i,SY2995: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV261 @ ( tc_List_Olist @ SV658 ) )
!= ( c_Nat_Osize__class_Osize @ SY2994 @ ( tc_List_Olist @ SY2995 ) ) )
| ! [SY2996: $i,SY2997: $i] :
( ( c_Map_Omap__upds @ SY2996 @ ( c_List_Oappend @ SV261 @ SY2997 @ SV658 ) @ SY2994 @ SV658 @ SY2995 )
= ( c_Map_Omap__upds @ SY2996 @ SV261 @ SY2994 @ SV658 @ SY2995 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1778]) ).
thf(2205,plain,
! [SV659: $i,SV262: $i] :
( ( ! [SY2998: $i,SY2999: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV262 @ ( tc_List_Olist @ SV659 ) )
!= ( c_Nat_Osize__class_Osize @ SY2998 @ ( tc_List_Olist @ SY2999 ) ) )
| ! [SY3000: $i,SY3001: $i] :
( ( c_Map_Omap__upds @ SY3000 @ SV262 @ ( c_List_Oappend @ SY2998 @ SY3001 @ SY2999 ) @ SV659 @ SY2999 )
= ( c_Map_Omap__upds @ SY3000 @ SV262 @ SY2998 @ SV659 @ SY2999 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1779]) ).
thf(2206,plain,
! [SV660: $i,SV263: $i] :
( ( ! [SY3002: $i] :
( ( SV263
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV263 @ ( tc_List_Olist @ SV660 ) ) @ SY3002 @ SV660 ) )
| ( ( c_List_Oappend @ SV263 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV263 @ ( tc_List_Olist @ SV660 ) ) @ SY3002 @ SV660 ) @ SV660 )
= SY3002 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1780]) ).
thf(2207,plain,
! [SV661: $i,SV264: $i] :
( ( ! [SY3003: $i] :
( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV264 @ SV661 @ SY3003 ) @ SY3003 )
| ~ ( c_List_Odistinct @ SV661 @ SY3003 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1781]) ).
thf(2208,plain,
! [SV662: $i,SV265: $i] :
( ( ! [SY3004: $i,SY3005: $i] :
( ( ( c_Event_Oevent_OGets @ SV265 @ SV662 )
!= ( c_Event_Oevent_OGets @ SY3004 @ SY3005 ) )
| ( SV662 = SY3005 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1782]) ).
thf(2209,plain,
! [SV663: $i,SV266: $i] :
( ( ! [SY3006: $i] :
( ! [SY3007: $i] :
( ( c_Event_Oevent_OGets @ SV266 @ SV663 )
!= ( c_Event_Oevent_OGets @ SY3006 @ SY3007 ) )
| ( SV266 = SY3006 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1783]) ).
thf(2210,plain,
! [SV664: $i,SV267: $i] :
( ( ! [SY3008: $i,SY3009: $i,SY3010: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SV664 ) )
!= ( c_Nat_Osize__class_Osize @ SY3008 @ ( tc_List_Olist @ SY3009 ) ) )
| ( c_List_Olist__all2 @ SY3010 @ SV267 @ SY3008 @ SV664 @ SY3009 )
| ! [SY3011: $i,SY3012: $i] :
~ ( c_List_Olist__all2 @ SY3010 @ ( c_List_Oappend @ SV267 @ SY3011 @ SV664 ) @ ( c_List_Oappend @ SY3008 @ SY3012 @ SY3009 ) @ SV664 @ SY3009 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(2211,plain,
! [SV665: $i,SV268: $i] :
( ( ! [SY3013: $i,SY3014: $i,SY3015: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SV665 ) )
!= ( c_Nat_Osize__class_Osize @ SY3013 @ ( tc_List_Olist @ SY3014 ) ) )
| ! [SY3016: $i,SY3017: $i] :
( ( c_List_Olist__all2 @ SY3015 @ SY3016 @ SY3017 @ SV665 @ SY3014 )
| ~ ( c_List_Olist__all2 @ SY3015 @ ( c_List_Oappend @ SV268 @ SY3016 @ SV665 ) @ ( c_List_Oappend @ SY3013 @ SY3017 @ SY3014 ) @ SV665 @ SY3014 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1785]) ).
thf(2212,plain,
! [SV666: $i,SV269: $i] :
( ( ! [SY3018: $i,SY3019: $i] :
( ( c_List_OdropWhile @ SV269 @ ( c_List_Olist_OCons @ SV666 @ SY3018 @ SY3019 ) @ SY3019 )
= ( c_List_OdropWhile @ SV269 @ SY3018 @ SY3019 ) )
| ~ ( hBOOL @ ( hAPP @ SV269 @ SV666 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1786]) ).
thf(2213,plain,
! [SV667: $i,SV270: $i] :
( ( ! [SY3020: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate @ SV270 @ SV667 @ SY3020 ) @ ( tc_List_Olist @ SY3020 ) )
= ( c_Nat_Osize__class_Osize @ SV667 @ ( tc_List_Olist @ SY3020 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(2214,plain,
! [SV668: $i,SV271: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate1 @ SV271 @ SV668 ) @ ( tc_List_Olist @ SV668 ) )
= ( c_Nat_Osize__class_Osize @ SV271 @ ( tc_List_Olist @ SV668 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1788]) ).
thf(2215,plain,
! [SV669: $i,SV272: $i] :
( ( ! [SY3021: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV272 @ SV669 @ SY3021 ) @ SY3021 )
= ( c_List_Olast @ SV669 @ SY3021 ) )
| ( SV669
= ( c_List_Olist_ONil @ SY3021 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1789]) ).
thf(2216,plain,
! [SV670: $i,SV273: $i] :
( ( ! [SY3022: $i,SY3023: $i] :
( ( c_List_OdropWhile @ SV273 @ ( c_List_Olist_OCons @ SV670 @ SY3022 @ SY3023 ) @ SY3023 )
= ( c_List_Olist_OCons @ SV670 @ SY3022 @ SY3023 ) )
| ( hBOOL @ ( hAPP @ SV273 @ SV670 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(2217,plain,
! [SV671: $i,SV274: $i] :
( ( ! [SY3024: $i,SY3025: $i,SY3026: $i] :
( ( c_List_Omap @ SV274 @ ( c_List_Oappend @ SV671 @ SY3024 @ SY3025 ) @ SY3025 @ SY3026 )
= ( c_List_Oappend @ ( c_List_Omap @ SV274 @ SV671 @ SY3025 @ SY3026 ) @ ( c_List_Omap @ SV274 @ SY3024 @ SY3025 @ SY3026 ) @ SY3026 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1791]) ).
thf(2218,plain,
! [SV672: $i,SV275: $i] :
( ( ! [SY3027: $i,SY3028: $i] :
~ ( hBOOL @ ( hAPP @ SV275 @ ( c_Message_Oagent_Oagent__case @ SV672 @ SY3027 @ SY3028 @ c_Message_Oagent_OServer @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV275 @ SV672 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1792]) ).
thf(2219,plain,
! [SV673: $i,SV276: $i] :
( ( ! [SY3029: $i,SY3030: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV276 @ SV673 @ SY3029 ) @ ( c_List_Oreplicate @ SY3030 @ SV673 @ SY3029 ) @ SY3029 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SY3030 @ SV673 @ SY3029 ) @ ( c_List_Oreplicate @ SV276 @ SV673 @ SY3029 ) @ SY3029 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(2220,plain,
! [SV674: $i,SV277: $i] :
( ( ! [SY3031: $i,SY3032: $i,SY3033: $i,SY3034: $i] :
( ( c_List_Olist__all2 @ SV277 @ ( c_List_Odrop @ SV674 @ SY3031 @ SY3032 ) @ ( c_List_Odrop @ SV674 @ SY3033 @ SY3034 ) @ SY3032 @ SY3034 )
| ~ ( c_List_Olist__all2 @ SV277 @ SY3031 @ SY3033 @ SY3032 @ SY3034 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1794]) ).
thf(2221,plain,
! [SV675: $i,SV278: $i] :
( ( ( c_List_Oset @ ( c_List_Orotate1 @ SV278 @ SV675 ) @ SV675 )
= ( c_List_Oset @ SV278 @ SV675 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(2222,plain,
! [SV676: $i,SV279: $i] :
( ( ! [SY3035: $i,SY3036: $i] :
( ( c_List_Oremove1 @ SV279 @ ( c_List_Ofilter @ SV676 @ SY3035 @ SY3036 ) @ SY3036 )
= ( c_List_Ofilter @ SV676 @ SY3035 @ SY3036 ) )
| ( hBOOL @ ( hAPP @ SV676 @ SV279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(2223,plain,
! [SV677: $i,SV280: $i] :
( ( ! [SY3037: $i] :
( ! [SY3038: $i] :
( ( c_List_Ofilter @ SV280 @ ( c_List_Oreplicate @ SV677 @ SY3037 @ SY3038 ) @ SY3038 )
= ( c_List_Olist_ONil @ SY3038 ) )
| ( hBOOL @ ( hAPP @ SV280 @ SY3037 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(2224,plain,
! [SV678: $i,SV281: $i] :
( ( ! [SY3039: $i,SY3040: $i,SY3041: $i,SY3042: $i] :
( ( c_List_Olist_Olist__rec @ SV281 @ SV678 @ ( c_List_Olist_OCons @ SY3039 @ SY3040 @ SY3041 ) @ SY3042 @ SY3041 )
= ( hAPP @ ( hAPP @ ( hAPP @ SV678 @ SY3039 ) @ SY3040 ) @ ( c_List_Olist_Olist__rec @ SV281 @ SV678 @ SY3040 @ SY3042 @ SY3041 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(2225,plain,
! [SV679: $i,SV282: $i] :
( ( ! [SY3043: $i] :
( ( c_List_Oset @ ( c_List_Orotate @ SV282 @ SV679 @ SY3043 ) @ SY3043 )
= ( c_List_Oset @ SV679 @ SY3043 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1799]) ).
thf(2226,plain,
! [SV680: $i,SV283: $i] :
( ( ( c_List_Odistinct @ SV283 @ SV680 )
| ! [SY3044: $i,SY3045: $i] :
~ ( c_List_Odistinct @ ( c_List_Omap @ SY3044 @ SV283 @ SV680 @ SY3045 ) @ SY3045 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1800]) ).
thf(2227,plain,
! [SV681: $i,SV284: $i] :
( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV284 @ ( c_List_Olist_ONil @ SV681 ) @ SV681 ) @ SV681 )
= SV284 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1801]) ).
thf(2228,plain,
! [SV682: $i,SV285: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV285 @ ( c_List_Olist_ONil @ SV682 ) @ SV682 ) @ SV682 )
= ( c_List_Olast @ SV285 @ SV682 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(2229,plain,
! [SV683: $i,SV286: $i] :
( ( ( c_List_Odistinct @ SV286 @ SV683 )
| ! [SY3046: $i] :
~ ( c_List_Odistinct @ ( c_List_Orotate @ SY3046 @ SV286 @ SV683 ) @ SV683 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1803]) ).
thf(2230,plain,
! [SV684: $i,SV287: $i] :
( ( ! [SY3047: $i] :
( ( c_List_Odistinct @ ( c_List_Orotate @ SV287 @ SV684 @ SY3047 ) @ SY3047 )
| ~ ( c_List_Odistinct @ SV684 @ SY3047 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1804]) ).
thf(2231,plain,
! [SV685: $i,SV288: $i] :
( ( ! [SY3048: $i,SY3049: $i] :
( ( c_List_Olistsp @ SV288 @ ( c_List_Oappend @ SV685 @ SY3048 @ SY3049 ) @ SY3049 )
| ~ ( c_List_Olistsp @ SV288 @ SY3048 @ SY3049 )
| ~ ( c_List_Olistsp @ SV288 @ SV685 @ SY3049 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1805]) ).
thf(2232,plain,
! [SV686: $i,SV289: $i] :
( ( ! [SY3050: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Oreplicate @ SV289 @ SV686 @ SY3050 ) @ ( tc_List_Olist @ SY3050 ) )
= SV289 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1806]) ).
thf(2233,plain,
! [SV687: $i,SV290: $i] :
( ( ! [SY3051: $i,SY3052: $i,SY3053: $i] :
( ~ ( hBOOL @ ( hAPP @ SV290 @ ( c_Message_Oagent_Oagent__case @ SV687 @ SY3051 @ SY3052 @ ( c_Message_Oagent_OFriend @ SY3053 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV290 @ ( hAPP @ SY3051 @ SY3053 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1807]) ).
thf(2234,plain,
! [SV688: $i,SV291: $i] :
( ( ! [SY3054: $i,SY3055: $i,SY3056: $i] :
( ~ ( hBOOL @ ( hAPP @ SV291 @ ( c_Message_Oagent_Oagent__case @ SV688 @ SY3054 @ SY3055 @ ( c_Message_Oagent_OFriend @ SY3056 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV291 @ ( hAPP @ SY3054 @ SY3056 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(2235,plain,
! [SV689: $i,SV292: $i] :
( ( ! [SY3057: $i] :
~ ( c_List_Onull @ ( c_List_Olist_OCons @ SV292 @ SV689 @ SY3057 ) @ SY3057 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1809]) ).
thf(2236,plain,
! [SV690: $i,SV293: $i] :
( ( ! [SY3058: $i,SY3059: $i,SY3060: $i,SY3061: $i] :
( ( c_List_Ofoldr @ SV293 @ ( c_List_Olist_OCons @ SV690 @ SY3058 @ SY3059 ) @ SY3060 @ SY3059 @ SY3061 )
= ( hAPP @ ( hAPP @ SV293 @ SV690 ) @ ( c_List_Ofoldr @ SV293 @ SY3058 @ SY3060 @ SY3059 @ SY3061 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1810]) ).
thf(2237,plain,
! [SV691: $i,SV294: $i] :
( ( ! [SY3062: $i] :
( ( c_List_Olast @ ( c_List_Oappend @ SV294 @ ( c_List_Olist_OCons @ SV691 @ ( c_List_Olist_ONil @ SY3062 ) @ SY3062 ) @ SY3062 ) @ SY3062 )
= SV691 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1811]) ).
thf(2238,plain,
! [SV692: $i,SV295: $i] :
( ( ! [SY3063: $i,SY3064: $i,SY3065: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV295 @ SV692 @ SY3063 @ ( c_Message_Oagent_OFriend @ SY3064 ) @ SY3065 )
= ( hAPP @ SV692 @ SY3064 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1812]) ).
thf(2239,plain,
! [SV693: $i,SV296: $i] :
( ( ! [SY3066: $i,SY3067: $i,SY3068: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ SV296 @ ( c_List_Olist_OCons @ SV693 @ SY3066 @ SY3067 ) @ SY3067 ) @ ( c_Nat_Osize__class_Osize @ SV296 @ ( tc_List_Olist @ SY3067 ) ) @ SY3068 @ SY3067 )
= ( c_List_Oappend @ SV296 @ ( c_List_Olist_OCons @ SY3068 @ SY3066 @ SY3067 ) @ SY3067 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1813]) ).
thf(2240,plain,
! [SV694: $i,SV297: $i] :
( ( ! [SY3069: $i] :
( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV297 ) @ ( c_List_Olist_OCons @ SV694 @ SY3069 @ SV297 ) @ SV297 )
= ( c_List_Olist_OCons @ SV694 @ SY3069 @ SV297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1814]) ).
thf(2241,plain,
! [SV695: $i,SV298: $i] :
( ( c_List_Odistinct @ ( c_List_Oremdups @ SV298 @ SV695 ) @ SV695 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1815]) ).
thf(2242,plain,
! [SV696: $i,SV299: $i] :
( ( ! [SY3070: $i,SY3071: $i] :
( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SY3070 @ SV696 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY3070 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SY3071 @ SV696 ) @ SV696 )
!= SY3071 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SY3070 @ SV696 )
!= SV299 )
| ( SY3070
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SY3070 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) )
| ( ( c_List_Oappend @ SY3070 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY3070 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SY3071 @ SV696 ) @ SV696 )
= ( c_List_Oappend @ SV299 @ SY3071 @ SV696 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1816]) ).
thf(2243,plain,
! [SV697: $i,SV300: $i] :
( ( ! [SY3072: $i,SY3073: $i] :
( ! [SY3074: $i] :
( ( c_List_Olist_OCons @ SV300 @ SV697 @ SY3072 )
!= ( c_List_Olist_OCons @ SY3073 @ SY3074 @ SY3072 ) )
| ( SV300 = SY3073 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1817]) ).
thf(2244,plain,
! [SV698: $i,SV301: $i] :
( ( ! [SY3075: $i,SY3076: $i,SY3077: $i] :
( ( ( c_List_Olist_OCons @ SV301 @ SV698 @ SY3075 )
!= ( c_List_Olist_OCons @ SY3076 @ SY3077 @ SY3075 ) )
| ( SV698 = SY3077 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(2245,plain,
! [SV302: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV302 ) )
= $true )
| ( ( ! [SY2321: $i] :
( ( c_List_Olinorder__class_Osorted @ SY2321 @ SV302 )
| ! [SY2322: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2321 @ SY2322 @ SV302 ) @ SV302 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1819]) ).
thf(2246,plain,
! [SV303: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV303 ) )
= $true )
| ( ( ! [SY2323: $i] :
( ( c_List_Olinorder__class_Osorted @ SY2323 @ SV303 )
| ! [SY2324: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2324 @ SY2323 @ SV303 ) @ SV303 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1820]) ).
thf(2247,plain,
! [SV699: $i,SV304: $i] :
( ( ! [SY3078: $i,SY3079: $i] :
( ( c_List_Olist__all @ SV304 @ ( c_List_Olist_OCons @ SV699 @ SY3078 @ SY3079 ) @ SY3079 )
| ~ ( c_List_Olist__all @ SV304 @ SY3078 @ SY3079 )
| ~ ( hBOOL @ ( hAPP @ SV304 @ SV699 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1821]) ).
thf(2248,plain,
! [SV700: $i,SV305: $i] :
( ( ! [SY3080: $i,SY3081: $i,SY3082: $i] :
( ! [SY3083: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SV700 @ SY3080 @ SY3081 ) @ SY3082 @ SY3083 @ SY3081 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SY3082 @ SY3083 @ SY3081 ) @ SV700 @ SY3080 @ SY3081 ) )
| ( SV700 = SY3082 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1822]) ).
thf(2249,plain,
! [SV306: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV306 ) )
= $true )
| ( ( ! [SY2333: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SY2333 @ SV306 ) @ SV306 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2333 @ SV306 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1823]) ).
thf(2250,plain,
! [SV701: $i,SV307: $i] :
( ( ! [SY3084: $i,SY3085: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV307 @ SV701 @ SY3084 ) @ ( c_List_Olist_OCons @ SV701 @ SY3085 @ SY3084 ) @ SY3084 )
= ( c_List_Olist_OCons @ SV701 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV307 @ SV701 @ SY3084 ) @ SY3085 @ SY3084 ) @ SY3084 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1824]) ).
thf(2251,plain,
! [SV702: $i,SV308: $i] :
( ( ! [SY3086: $i,SY3087: $i,SY3088: $i] :
( ( c_List_Odrop @ SV308 @ ( c_List_Omap @ SV702 @ SY3086 @ SY3087 @ SY3088 ) @ SY3088 )
= ( c_List_Omap @ SV702 @ ( c_List_Odrop @ SV308 @ SY3086 @ SY3087 ) @ SY3087 @ SY3088 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1825]) ).
thf(2252,plain,
! [SV703: $i,SV309: $i] :
( ( ( c_List_Ohd @ ( c_List_Oappend @ ( c_List_Olist_ONil @ SV309 ) @ SV703 @ SV309 ) @ SV309 )
= ( c_List_Ohd @ SV703 @ SV309 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1826]) ).
thf(2253,plain,
! [SV704: $i,SV310: $i] :
( ( ! [SY3089: $i,SY3090: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV310 @ SV704 @ SY3089 @ c_Message_Oagent_OServer @ SY3090 )
= SV310 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1827]) ).
thf(2254,plain,
! [SV705: $i,SV311: $i] :
( ( ! [SY3091: $i,SY3092: $i] :
( ( c_List_Ofilter @ SV311 @ ( c_List_Olist_OCons @ SV705 @ SY3091 @ SY3092 ) @ SY3092 )
= ( c_List_Ofilter @ SV311 @ SY3091 @ SY3092 ) )
| ( hBOOL @ ( hAPP @ SV311 @ SV705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1828]) ).
thf(2255,plain,
! [SV706: $i,SV312: $i] :
( ( ! [SY3093: $i] :
( ( c_List_Ohd @ ( c_List_Olist_OCons @ SV312 @ SV706 @ SY3093 ) @ SY3093 )
= SV312 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1829]) ).
thf(2256,plain,
! [SV707: $i,SV313: $i] :
( ( c_List_Olist__all2 @ ( c_fequal @ SV313 ) @ SV707 @ SV707 @ SV313 @ SV313 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1830]) ).
thf(2257,plain,
! [SV708: $i,SV314: $i] :
( ( ! [SY3094: $i,SY3095: $i] :
( ! [SY3096: $i] :
( ( c_List_Oappend @ SV314 @ ( c_List_Olist_OCons @ SV708 @ ( c_List_Olist_ONil @ SY3094 ) @ SY3094 ) @ SY3094 )
!= ( c_List_Oappend @ SY3095 @ ( c_List_Olist_OCons @ SY3096 @ ( c_List_Olist_ONil @ SY3094 ) @ SY3094 ) @ SY3094 ) )
| ( SV314 = SY3095 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1831]) ).
thf(2258,plain,
! [SV709: $i,SV315: $i] :
( ( ! [SY3097: $i,SY3098: $i,SY3099: $i] :
( ( ( c_List_Oappend @ SV315 @ ( c_List_Olist_OCons @ SV709 @ ( c_List_Olist_ONil @ SY3097 ) @ SY3097 ) @ SY3097 )
!= ( c_List_Oappend @ SY3098 @ ( c_List_Olist_OCons @ SY3099 @ ( c_List_Olist_ONil @ SY3097 ) @ SY3097 ) @ SY3097 ) )
| ( SV709 = SY3099 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1832]) ).
thf(2259,plain,
! [SV710: $i,SV316: $i] :
( ( ! [SY3100: $i] :
( ( c_List_Olist__all @ SV316 @ SV710 @ SY3100 )
| ! [SY3101: $i] :
~ ( c_List_Olist__all @ SV316 @ ( c_List_Oappend @ SV710 @ SY3101 @ SY3100 ) @ SY3100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1833]) ).
thf(2260,plain,
! [SV711: $i,SV317: $i] :
( ( ! [SY3102: $i] :
( ( c_List_Olist__all @ SV317 @ SV711 @ SY3102 )
| ! [SY3103: $i] :
~ ( c_List_Olist__all @ SV317 @ ( c_List_Oappend @ SY3103 @ SV711 @ SY3102 ) @ SY3102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1834]) ).
thf(2261,plain,
! [SV712: $i,SV318: $i] :
( ( ! [SY3104: $i] :
( ( c_List_Orotate1 @ ( c_List_Orotate @ SV318 @ SV712 @ SY3104 ) @ SY3104 )
= ( c_List_Orotate @ SV318 @ ( c_List_Orotate1 @ SV712 @ SY3104 ) @ SY3104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1835]) ).
thf(2262,plain,
! [SV713: $i,SV319: $i] :
( ( ! [SY3105: $i,SY3106: $i,SY3107: $i] :
( ~ ( hBOOL @ ( hAPP @ SV319 @ ( c_List_Olist_Olist__case @ SV713 @ SY3105 @ ( c_List_Olist_OCons @ SY3106 @ SY3107 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV319 @ ( hAPP @ ( hAPP @ SY3105 @ SY3106 ) @ SY3107 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1836]) ).
thf(2263,plain,
! [SV714: $i,SV320: $i] :
( ( ! [SY3108: $i,SY3109: $i,SY3110: $i] :
( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_List_Olist_Olist__case @ SV714 @ SY3108 @ ( c_List_Olist_OCons @ SY3109 @ SY3110 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV320 @ ( hAPP @ ( hAPP @ SY3108 @ SY3109 ) @ SY3110 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1837]) ).
thf(2264,plain,
! [SV321: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV321 ) )
= $true )
| ( ( ! [SY2375: $i,SY2376: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SY2375 @ SY2376 @ SV321 ) @ SV321 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2376 @ SV321 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1838]) ).
thf(2265,plain,
! [SV715: $i,SV322: $i] :
( ( ! [SY3111: $i,SY3112: $i,SY3113: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV322 @ SV715 @ SY3111 @ SY3112 ) @ SV715 @ SY3113 @ SY3112 )
= ( c_List_Olist__update @ SV322 @ SV715 @ SY3113 @ SY3112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1839]) ).
thf(2266,plain,
! [SV716: $i,SV323: $i] :
( ( ! [SY3114: $i,SY3115: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV323 @ SV716 @ SY3114 ) @ SY3115 @ SY3114 )
= ( c_List_Oappend @ SV323 @ ( c_List_Oappend @ SV716 @ SY3115 @ SY3114 ) @ SY3114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(2267,plain,
! [SV717: $i,SV324: $i] :
( ( ! [SY3116: $i,SY3117: $i] :
( ( c_List_Oappend @ SV324 @ ( c_List_Oappend @ SV717 @ SY3116 @ SY3117 ) @ SY3117 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV324 @ SV717 @ SY3117 ) @ SY3116 @ SY3117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1841]) ).
thf(2268,plain,
! [SV718: $i,SV325: $i] :
( ( ! [SY3118: $i,SY3119: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV325 @ SV718 @ SY3118 ) @ SY3119 @ SY3118 )
= ( c_List_Oappend @ SV325 @ ( c_List_Oappend @ SV718 @ SY3119 @ SY3118 ) @ SY3118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1842]) ).
thf(2269,plain,
! [SV719: $i,SV326: $i] :
( ( ! [SY3120: $i,SY3121: $i] :
( ( c_List_Oappend @ SV326 @ ( c_List_Oappend @ SV719 @ SY3120 @ SY3121 ) @ SY3121 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV326 @ SV719 @ SY3121 ) @ SY3120 @ SY3121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1843]) ).
thf(2270,plain,
! [SV720: $i,SV327: $i] :
( ( ( c_List_Oset @ ( c_List_Oremdups @ SV327 @ SV720 ) @ SV720 )
= ( c_List_Oset @ SV327 @ SV720 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1844]) ).
thf(2271,plain,
! [SV328: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV328 ) )
= $true )
| ( ( ! [SY2394: $i,SY2395: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SY2394 @ SY2395 @ SV328 ) @ SV328 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2395 @ SV328 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1845]) ).
thf(2272,plain,
! [SV721: $i,SV329: $i] :
( ( ! [SY3122: $i,SY3123: $i] :
( ( c_List_Ofoldl @ SV329 @ SV721 @ ( c_List_Olist_ONil @ SY3122 ) @ SY3123 @ SY3122 )
= SV721 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1846]) ).
thf(2273,plain,
! [SV330: $i] :
( ( ( ! [SY2399: $i] : ( hBOOL @ ( hAPP @ SV330 @ SY2399 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV330 @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV330 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV330 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1847]) ).
thf(2274,plain,
! [SV722: $i,SV332: $i] :
( ( ( c_List_Odrop @ SV332 @ ( c_List_Olist_ONil @ SV722 ) @ SV722 )
= ( c_List_Olist_ONil @ SV722 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1849]) ).
thf(2275,plain,
! [SV723: $i,SV333: $i] :
( ( ! [SY3124: $i,SY3125: $i] :
( ( ( c_List_Olist_ONil @ SV333 )
!= ( c_List_Omap @ SV723 @ SY3124 @ SY3125 @ SV333 ) )
| ( SY3124
= ( c_List_Olist_ONil @ SY3125 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1850]) ).
thf(2276,plain,
! [SV334: $i] :
( ( ( ! [SY2404: $i] : ( hBOOL @ ( hAPP @ SV334 @ SY2404 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV334 @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV334 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV334 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1851]) ).
thf(2277,plain,
! [SV724: $i,SV335: $i] :
( ( ( c_List_Olist__inter @ ( c_List_Olist_ONil @ SV335 ) @ SV724 @ SV335 )
= ( c_List_Olist_ONil @ SV335 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1852]) ).
thf(2278,plain,
! [SV725: $i,SV336: $i] :
( ( ( c_List_OdropWhile @ SV336 @ ( c_List_Olist_ONil @ SV725 ) @ SV725 )
= ( c_List_Olist_ONil @ SV725 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1853]) ).
thf(2279,plain,
! [SV726: $i,SV337: $i] :
( ( SV337
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV726 ) @ SV337 @ SV726 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1854]) ).
thf(2280,plain,
! [SV727: $i,SV338: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV338 ) @ SV727 @ SV338 )
= SV727 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1855]) ).
thf(2281,plain,
! [SV728: $i,SV339: $i] :
( ( SV339
= ( c_List_Oappend @ SV339 @ ( c_List_Olist_ONil @ SV728 ) @ SV728 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1856]) ).
thf(2282,plain,
! [SV729: $i,SV340: $i] :
( ( SV340
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV729 ) @ SV340 @ SV729 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1857]) ).
thf(2283,plain,
! [SV730: $i,SV341: $i] :
( ( ( c_List_Oappend @ SV341 @ ( c_List_Olist_ONil @ SV730 ) @ SV730 )
= SV341 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1858]) ).
thf(2284,plain,
! [SV731: $i,SV342: $i] :
( ( ( ( c_List_Orotate1 @ SV342 @ SV731 )
!= ( c_List_Olist_ONil @ SV731 ) )
| ( SV342
= ( c_List_Olist_ONil @ SV731 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1859]) ).
thf(2285,plain,
! [SV343: $i] :
( ( ( ! [SY2413: $i] : ( hBOOL @ ( hAPP @ SV343 @ SY2413 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV343 @ ( v_sko__List__Xlast__Xinduct__2 @ SV343 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV343 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1860]) ).
thf(2286,plain,
! [SV732: $i,SV344: $i] :
( ( ( c_List_Otake @ SV344 @ ( c_List_Olist_ONil @ SV732 ) @ SV732 )
= ( c_List_Olist_ONil @ SV732 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1861]) ).
thf(2287,plain,
! [SV345: $i] :
( ( ( ! [SY2415: $i] : ( hBOOL @ ( hAPP @ SV345 @ SY2415 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV345 @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV345 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV345 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1862]) ).
thf(2288,plain,
! [SV733: $i,SV346: $i] :
( ( c_List_Olistsp @ SV346 @ ( c_List_Olist_ONil @ SV733 ) @ SV733 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1863]) ).
thf(2289,plain,
! [SV347: $i] :
( ( ( ! [SY2417: $i] : ( hBOOL @ ( hAPP @ SV347 @ SY2417 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV347 @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV347 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV347 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1864]) ).
thf(2290,plain,
! [SV348: $i] :
( ( ( ! [SY2418: $i] : ( hBOOL @ ( hAPP @ SV348 @ SY2418 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV348 @ ( v_sko__List__Xfoldl__Xinduct__2 @ SV348 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV348 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1865]) ).
thf(2291,plain,
! [SV734: $i,SV349: $i] :
( ( c_List_Olist__all @ SV349 @ ( c_List_Olist_ONil @ SV734 ) @ SV734 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1866]) ).
thf(2292,plain,
! [SV735: $i,SV351: $i] :
( ( ~ ( c_List_Olist__ex @ SV351 @ ( c_List_Olist_ONil @ SV735 ) @ SV735 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1868]) ).
thf(2293,plain,
! [SV736: $i,SV353: $i] :
( ( ! [SY3126: $i] :
~ ( hBOOL @ ( hAPP @ SV353 @ ( c_List_Olist_Olist__case @ SV736 @ SY3126 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV353 @ SV736 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1870]) ).
thf(2294,plain,
! [SV737: $i,SV354: $i] :
( ( ! [SY3127: $i,SY3128: $i] :
( ( c_List_Ofoldr @ SV354 @ ( c_List_Olist_ONil @ SV737 ) @ SY3127 @ SV737 @ SY3128 )
= SY3127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1871]) ).
thf(2295,plain,
! [SV355: $i] :
( ( ( ! [SY2426: $i] : ( hBOOL @ ( hAPP @ SV355 @ SY2426 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV355 @ ( v_sko__List__Xzip__Xinduct__2 @ SV355 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV355 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1872]) ).
thf(2296,plain,
! [SV738: $i,SV356: $i] :
( ( ! [SY3129: $i] :
( ( c_List_Omap @ SV356 @ ( c_List_Olist_ONil @ SV738 ) @ SV738 @ SY3129 )
= ( c_List_Olist_ONil @ SY3129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(2297,plain,
! [SV739: $i,SV357: $i] :
( ( ( c_List_Osublist @ ( c_List_Olist_ONil @ SV357 ) @ SV739 @ SV357 )
= ( c_List_Olist_ONil @ SV357 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1874]) ).
thf(2298,plain,
! [SV358: $i] :
( ( ( ! [SY2430: $i] : ( hBOOL @ ( hAPP @ SV358 @ SY2430 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV358 @ ( v_sko__List__Xlistset__Xinduct__2 @ SV358 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV358 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1875]) ).
thf(2299,plain,
! [SV740: $i,SV359: $i] :
( ( ! [SY3130: $i,SY3131: $i] :
( ( c_List_Olist_Olist__rec @ SV359 @ SV740 @ ( c_List_Olist_ONil @ SY3130 ) @ SY3131 @ SY3130 )
= SV359 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1876]) ).
thf(2300,plain,
! [SV360: $i] :
( ( ( ! [SY2434: $i] : ( hBOOL @ ( hAPP @ SV360 @ SY2434 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV360 @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV360 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV360 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1877]) ).
thf(2301,plain,
! [SV361: $i] :
( ( ( ! [SY2435: $i] : ( hBOOL @ ( hAPP @ SV361 @ SY2435 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV361 @ ( v_sko__List__Xtake__Xinduct__2 @ SV361 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV361 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1878]) ).
thf(2302,plain,
! [SV362: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV362 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV362 ) @ SV362 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1879]) ).
thf(2303,plain,
! [SV741: $i,SV363: $i] :
( ( ! [SY3132: $i] :
( ( c_List_Ofiltermap @ SV363 @ ( c_List_Olist_ONil @ SV741 ) @ SV741 @ SY3132 )
= ( c_List_Olist_ONil @ SY3132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1880]) ).
thf(2304,plain,
! [SV742: $i,SV364: $i] :
( ( ( ( c_List_Olist_ONil @ SV364 )
!= ( c_List_Oremdups @ SV742 @ SV364 ) )
| ( SV742
= ( c_List_Olist_ONil @ SV364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1881]) ).
thf(2305,plain,
! [SV743: $i,SV365: $i] :
( ( ( c_List_Ofilter @ SV365 @ ( c_List_Olist_ONil @ SV743 ) @ SV743 )
= ( c_List_Olist_ONil @ SV743 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1882]) ).
thf(2306,plain,
! [SV744: $i,SV366: $i] :
( ( ! [SY3133: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV366 ) @ SV744 @ SY3133 @ SV366 )
= ( c_List_Olist_ONil @ SV366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1883]) ).
thf(2307,plain,
! [SV745: $i,SV367: $i] :
( ( ! [SY3134: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV367 ) @ SV745 @ SY3134 @ SV367 )
= ( c_List_Olist_ONil @ SV367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1884]) ).
thf(2308,plain,
! [SV746: $i,SV368: $i] :
( ( ! [SY3135: $i] :
( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV368 ) @ SV746 @ SY3135 @ SV368 )
= ( c_List_Olist_ONil @ SV368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1885]) ).
thf(2309,plain,
! [SV369: $i] :
( ( ( ! [SY2446: $i] : ( hBOOL @ ( hAPP @ SV369 @ SY2446 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV369 @ ( v_sko__List__Xconcat__Xinduct__2 @ SV369 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV369 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1886]) ).
thf(2310,plain,
! [SV747: $i,SV370: $i] :
( ( ! [SY3136: $i] :
( ( c_List_Olist_OCons @ SV370 @ SV747 @ SY3136 )
!= ( c_List_Olist_ONil @ SY3136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1887]) ).
thf(2311,plain,
! [SV748: $i,SV371: $i] :
( ( ! [SY3137: $i] :
( ( c_List_Olist_OCons @ SV371 @ SV748 @ SY3137 )
!= ( c_List_Olist_ONil @ SY3137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1888]) ).
thf(2312,plain,
! [SV749: $i,SV372: $i] :
( ( ( c_List_Oremove1 @ SV372 @ ( c_List_Olist_ONil @ SV749 ) @ SV749 )
= ( c_List_Olist_ONil @ SV749 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1889]) ).
thf(2313,plain,
! [SV373: $i] :
( ( ( ! [SY2452: $i] : ( hBOOL @ ( hAPP @ SV373 @ SY2452 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV373 @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV373 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV373 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1890]) ).
thf(2314,plain,
! [SV750: $i,SV374: $i] :
( ( ! [SY3138: $i,SY3139: $i] :
( ( c_Map_Omap__upds @ SV374 @ SV750 @ ( c_List_Olist_ONil @ SY3138 ) @ SY3139 @ SY3138 )
= SV374 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1891]) ).
thf(2315,plain,
! [SV751: $i,SV375: $i] :
( ( ! [SY3140: $i,SY3141: $i] :
( ( c_Map_Omap__upds @ SV375 @ ( c_List_Olist_ONil @ SV751 ) @ SY3140 @ SV751 @ SY3141 )
= SV375 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1892]) ).
thf(2316,plain,
! [SV376: $i] :
( ( ( ! [SY2459: $i] : ( hBOOL @ ( hAPP @ SV376 @ SY2459 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV376 @ ( v_sko__List__Xremove1__Xinduct__2 @ SV376 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV376 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1893]) ).
thf(2317,plain,
! [SV752: $i,SV377: $i] :
( ( ! [SY3142: $i,SY3143: $i] :
( ( c_List_Olist_Olist__case @ SV377 @ SV752 @ ( c_List_Olist_ONil @ SY3142 ) @ SY3143 @ SY3142 )
= SV377 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1894]) ).
thf(2318,plain,
! [SV753: $i,SV378: $i] :
( ( ( c_List_Orotate @ SV378 @ ( c_List_Olist_ONil @ SV753 ) @ SV753 )
= ( c_List_Olist_ONil @ SV753 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1895]) ).
thf(2319,plain,
! [SV379: $i] :
( ( ( ! [SY2464: $i] : ( hBOOL @ ( hAPP @ SV379 @ SY2464 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV379 @ ( v_sko__List__Xlist__Xinduct__2 @ SV379 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV379 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1896]) ).
thf(2320,plain,
! [SV754: $i,SV380: $i] :
( ( ! [SY3144: $i] :
( ( c_List_Olist_ONil @ SV380 )
= ( c_List_Omap @ SV754 @ ( c_List_Olist_ONil @ SY3144 ) @ SY3144 @ SV380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1897]) ).
thf(2321,plain,
! [SV755: $i,SV382: $i] :
( ( c_List_Olistrelp @ SV382 @ ( c_List_Olist_ONil @ SV755 ) @ ( c_List_Olist_ONil @ SV755 ) @ SV755 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1899]) ).
thf(2322,plain,
! [SV383: $i] :
( ( ( ! [SY2468: $i] : ( hBOOL @ ( hAPP @ SV383 @ SY2468 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV383 @ ( v_sko__List__Xmap__Xinduct__2 @ SV383 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV383 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1900]) ).
thf(2323,plain,
! [SV756: $i,SV384: $i] :
( ( ! [SY3145: $i,SY3146: $i] :
( ( ( c_List_Olist__update @ SV384 @ SV756 @ SY3145 @ SY3146 )
!= ( c_List_Olist_ONil @ SY3146 ) )
| ( SV384
= ( c_List_Olist_ONil @ SY3146 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1901]) ).
thf(2324,plain,
! [SV757: $i,SV385: $i] :
( ( ( ( c_List_Ohd @ ( hAPP @ ( c_List_Orev @ SV385 ) @ SV757 ) @ SV385 )
= ( c_List_Olast @ SV757 @ SV385 ) )
| ( SV757
= ( c_List_Olist_ONil @ SV385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1902]) ).
thf(2325,plain,
! [SV758: $i,SV386: $i] :
( ( ( ( c_List_Olast @ ( hAPP @ ( c_List_Orev @ SV386 ) @ SV758 ) @ SV386 )
= ( c_List_Ohd @ SV758 @ SV386 ) )
| ( SV758
= ( c_List_Olist_ONil @ SV386 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1903]) ).
thf(2326,plain,
! [SV759: $i,SV387: $i] :
( ( ! [SY3147: $i] :
( ( hAPP @ ( c_List_Orev @ SV387 ) @ ( c_List_Olist_OCons @ SV759 @ SY3147 @ SV387 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV387 ) @ SY3147 ) @ ( c_List_Olist_OCons @ SV759 @ ( c_List_Olist_ONil @ SV387 ) @ SV387 ) @ SV387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1904]) ).
thf(2327,plain,
! [SV760: $i,SV388: $i] :
( ( ! [SY3148: $i,SY3149: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV388 ) @ SV760 )
!= ( c_List_Olist_OCons @ SY3148 @ SY3149 @ SV388 ) )
| ( SV760
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV388 ) @ SY3149 ) @ ( c_List_Olist_OCons @ SY3148 @ ( c_List_Olist_ONil @ SV388 ) @ SV388 ) @ SV388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1905]) ).
thf(2328,plain,
! [SV761: $i,SV389: $i] :
( ( ! [SY3150: $i] :
( ( hAPP @ ( c_List_Orev @ SV389 ) @ ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV389 ) @ SV761 ) @ ( c_List_Olist_OCons @ SY3150 @ ( c_List_Olist_ONil @ SV389 ) @ SV389 ) @ SV389 ) )
= ( c_List_Olist_OCons @ SY3150 @ SV761 @ SV389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1906]) ).
thf(2329,plain,
! [SV762: $i,SV390: $i] :
( ( ! [SY3151: $i,SY3152: $i] :
( ( c_Message_Oagent_Oagent__case @ SV390 @ SV762 @ SY3151 @ c_Message_Oagent_OSpy @ SY3152 )
= SY3151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1907]) ).
thf(2330,plain,
! [SV391: $i] :
( ( ( c_Message_Oagent_OFriend @ SV391 )
= c_Message_Oagent_OSpy )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(2331,plain,
! [SV763: $i,SV392: $i] :
( ( ! [SY3153: $i,SY3154: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV392 @ SV763 @ SY3153 @ c_Message_Oagent_OSpy @ SY3154 )
= SY3153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1909]) ).
thf(2332,plain,
! [SV764: $i,SV393: $i] :
( ( ! [SY3155: $i,SY3156: $i] :
( ~ ( hBOOL @ ( hAPP @ SV393 @ ( c_Message_Oagent_Oagent__case @ SV764 @ SY3155 @ SY3156 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV393 @ SY3156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1911]) ).
thf(2333,plain,
! [SV394: $i] :
( ( c_Message_Oagent_OSpy
= ( c_Message_Oagent_OFriend @ SV394 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1912]) ).
thf(2334,plain,
! [SV765: $i,SV395: $i] :
( ( ! [SY3157: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV395 @ SV765 ) @ SY3157 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1914]) ).
thf(2335,plain,
! [SV766: $i,SV396: $i] :
( ( ! [SY3158: $i] :
( ( hAPP @ ( c_List_Orev @ SV396 ) @ ( c_List_Ofilter @ SV766 @ SY3158 @ SV396 ) )
= ( c_List_Ofilter @ SV766 @ ( hAPP @ ( c_List_Orev @ SV396 ) @ SY3158 ) @ SV396 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1915]) ).
thf(2336,plain,
! [SV767: $i,SV397: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( hAPP @ ( c_List_Orev @ SV397 ) @ SV767 ) @ ( tc_List_Olist @ SV397 ) )
= ( c_Nat_Osize__class_Osize @ SV767 @ ( tc_List_Olist @ SV397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1916]) ).
thf(2337,plain,
! [SV768: $i,SV398: $i] :
( ( ! [SY3159: $i] :
( ( c_List_Olist__all @ SV398 @ ( hAPP @ ( c_List_Orev @ SV768 ) @ SY3159 ) @ SV768 )
| ~ ( c_List_Olist__all @ SV398 @ SY3159 @ SV768 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1917]) ).
thf(2338,plain,
! [SV769: $i,SV399: $i] :
( ( ! [SY3160: $i] :
( ( c_List_Olist__all @ SV399 @ SV769 @ SY3160 )
| ~ ( c_List_Olist__all @ SV399 @ ( hAPP @ ( c_List_Orev @ SY3160 ) @ SV769 ) @ SY3160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1918]) ).
thf(2339,plain,
! [SV400: $i] :
( ( ( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV400 ) )
= $true )
| ( ( ! [SY2499: $i] :
( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ SV400 ) @ SY2499 ) @ SV400 )
= ( c_List_Olistsum @ SY2499 @ SV400 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1919]) ).
thf(2340,plain,
! [SV770: $i,SV401: $i] :
( ( ( c_List_Oset @ ( hAPP @ ( c_List_Orev @ SV401 ) @ SV770 ) @ SV401 )
= ( c_List_Oset @ SV770 @ SV401 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1920]) ).
thf(2341,plain,
! [SV771: $i,SV402: $i] :
( ( ! [SY3161: $i] :
( ( hAPP @ ( c_List_Orev @ SV402 ) @ ( c_List_Oreplicate @ SV771 @ SY3161 @ SV402 ) )
= ( c_List_Oreplicate @ SV771 @ SY3161 @ SV402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1921]) ).
thf(2342,plain,
! [SV772: $i,SV403: $i] :
( ( ! [SY3162: $i,SY3163: $i,SY3164: $i] :
( ( c_List_Olist__all2 @ SV403 @ ( hAPP @ ( c_List_Orev @ SV772 ) @ SY3162 ) @ ( hAPP @ ( c_List_Orev @ SY3163 ) @ SY3164 ) @ SV772 @ SY3163 )
| ~ ( c_List_Olist__all2 @ SV403 @ SY3162 @ SY3164 @ SV772 @ SY3163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1922]) ).
thf(2343,plain,
! [SV773: $i,SV404: $i] :
( ( ! [SY3165: $i,SY3166: $i,SY3167: $i] :
( ( c_List_Olist__all2 @ SV404 @ SV773 @ SY3165 @ SY3166 @ SY3167 )
| ~ ( c_List_Olist__all2 @ SV404 @ ( hAPP @ ( c_List_Orev @ SY3166 ) @ SV773 ) @ ( hAPP @ ( c_List_Orev @ SY3167 ) @ SY3165 ) @ SY3166 @ SY3167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1923]) ).
thf(2344,plain,
! [SV774: $i,SV405: $i] :
( ( ! [SY3168: $i,SY3169: $i] :
( ( hAPP @ ( c_List_Orev @ SV405 ) @ ( c_List_Omap @ SV774 @ SY3168 @ SY3169 @ SV405 ) )
= ( c_List_Omap @ SV774 @ ( hAPP @ ( c_List_Orev @ SY3169 ) @ SY3168 ) @ SY3169 @ SV405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1924]) ).
thf(2345,plain,
! [SV775: $i,SV406: $i] :
( ( c_Fun_Oinj__on @ ( c_List_Orev @ SV406 ) @ SV775 @ ( tc_List_Olist @ SV406 ) @ ( tc_List_Olist @ SV406 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1925]) ).
thf(2346,plain,
! [SV776: $i,SV407: $i] :
( ( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV407 ) @ SV776 ) @ SV407 )
| ~ ( c_List_Odistinct @ SV776 @ SV407 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1926]) ).
thf(2347,plain,
! [SV777: $i,SV408: $i] :
( ( ( c_List_Odistinct @ SV408 @ SV777 )
| ~ ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV777 ) @ SV408 ) @ SV777 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1927]) ).
thf(2348,plain,
! [SV778: $i,SV409: $i] :
( ( ! [SY3170: $i] :
( ( hAPP @ ( c_List_Orev @ SV409 ) @ ( c_List_Oappend @ SV778 @ SY3170 @ SV409 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV409 ) @ SY3170 ) @ ( hAPP @ ( c_List_Orev @ SV409 ) @ SV778 ) @ SV409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1928]) ).
thf(2349,plain,
! [SV779: $i,SV410: $i] :
( ( ! [SY3171: $i,SY3172: $i,SY3173: $i] :
( ( c_List_Olist__all2 @ SV410 @ ( hAPP @ ( c_List_Orev @ SV779 ) @ SY3171 ) @ SY3172 @ SV779 @ SY3173 )
| ~ ( c_List_Olist__all2 @ SV410 @ SY3171 @ ( hAPP @ ( c_List_Orev @ SY3173 ) @ SY3172 ) @ SV779 @ SY3173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1929]) ).
thf(2350,plain,
! [SV780: $i,SV411: $i] :
( ( ! [SY3174: $i,SY3175: $i,SY3176: $i] :
( ( c_List_Olist__all2 @ SV411 @ SV780 @ ( hAPP @ ( c_List_Orev @ SY3174 ) @ SY3175 ) @ SY3176 @ SY3174 )
| ~ ( c_List_Olist__all2 @ SV411 @ ( hAPP @ ( c_List_Orev @ SY3176 ) @ SV780 ) @ SY3175 @ SY3176 @ SY3174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1930]) ).
thf(2351,plain,
! [SV781: $i,SV412: $i] :
( ( ! [SY3177: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV412 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV781 @ SY3177 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1931]) ).
thf(2352,plain,
! [SV782: $i,SV413: $i] :
( ( ! [SY3178: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV413 ) @ SV782 )
!= ( c_List_Olist_OCons @ SY3178 @ ( c_List_Olist_ONil @ SV413 ) @ SV413 ) )
| ( SV782
= ( c_List_Olist_OCons @ SY3178 @ ( c_List_Olist_ONil @ SV413 ) @ SV413 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1932]) ).
thf(2353,plain,
! [SV783: $i,SV414: $i] :
( ( ! [SY3179: $i] :
( ( ( c_List_Olist_OCons @ SV414 @ ( c_List_Olist_ONil @ SV783 ) @ SV783 )
!= ( hAPP @ ( c_List_Orev @ SV783 ) @ SY3179 ) )
| ( SY3179
= ( c_List_Olist_OCons @ SV414 @ ( c_List_Olist_ONil @ SV783 ) @ SV783 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1933]) ).
thf(2354,plain,
! [SV784: $i,SV415: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV415 ) @ ( c_List_Olist_OCons @ SV784 @ ( c_List_Olist_ONil @ SV415 ) @ SV415 ) )
= ( c_List_Olist_OCons @ SV784 @ ( c_List_Olist_ONil @ SV415 ) @ SV415 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1934]) ).
thf(2355,plain,
! [SV785: $i,SV416: $i] :
( ( ( c_List_Olist_OCons @ SV416 @ ( c_List_Olist_ONil @ SV785 ) @ SV785 )
= ( hAPP @ ( c_List_Orev @ SV785 ) @ ( c_List_Olist_OCons @ SV416 @ ( c_List_Olist_ONil @ SV785 ) @ SV785 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1935]) ).
thf(2356,plain,
! [SV786: $i,SV419: $i] :
( ( ( ( c_List_Olist_ONil @ SV419 )
!= ( hAPP @ ( c_List_Orev @ SV419 ) @ SV786 ) )
| ( SV786
= ( c_List_Olist_ONil @ SV419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1938]) ).
thf(2357,plain,
! [SV787: $i,SV420: $i] :
( ( ! [SY3180: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV420 ) @ SV787 )
!= ( hAPP @ ( c_List_Orev @ SV420 ) @ SY3180 ) )
| ( SV787 = SY3180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1939]) ).
thf(2358,plain,
! [SV788: $i,SV421: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV421 ) @ ( hAPP @ ( c_List_Orev @ SV421 ) @ SV788 ) )
= SV788 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1940]) ).
thf(2359,plain,
! [SV789: $i,SV422: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV422 ) @ ( hAPP @ ( c_List_Orev @ SV422 ) @ SV789 ) )
= SV789 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1941]) ).
thf(2360,plain,
! [SV790: $i,SV423: $i] :
( ( SV423
= ( hAPP @ ( c_List_Orev @ SV790 ) @ ( hAPP @ ( c_List_Orev @ SV790 ) @ SV423 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1942]) ).
thf(2361,plain,
! [SV791: $i,SV424: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV424 ) @ SV791 )
!= ( c_List_Olist_ONil @ SV424 ) )
| ( SV791
= ( c_List_Olist_ONil @ SV424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1943]) ).
thf(2362,plain,
! [SV792: $i,SV426: $i] :
( ( ( class_Orderings_Opreorder @ ( tc_fun @ SV426 @ SV792 ) )
| ~ ( class_Orderings_Opreorder @ SV792 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1945]) ).
thf(2363,plain,
! [SV793: $i,SV427: $i] :
( ( ( class_Orderings_Oorder @ ( tc_fun @ SV427 @ SV793 ) )
| ~ ( class_Orderings_Oorder @ SV793 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1946]) ).
thf(2364,plain,
! [SV794: $i,SV428: $i] :
( ( ( class_HOL_Oord @ ( tc_fun @ SV428 @ SV794 ) )
| ~ ( class_HOL_Oord @ SV794 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1947]) ).
thf(2365,plain,
! [SV795: $i,SV429: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV429 ) @ SV795 ) @ SV795 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1948]) ).
thf(2366,plain,
! [SV796: $i,SV430: $i] :
( ( ( SV430 = SV796 )
| ! [SY3181: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SY3181 ) @ SV430 ) @ SV796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1949]) ).
thf(2367,plain,
! [SV797: $i,SV431: $i,SV1: $i] :
( ( ! [SY3182: $i,SY3183: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV1 @ SV431 ) @ ( c_Event_Oknows @ SV1 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV797 @ SY3182 @ SY3183 ) @ SV431 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1951]) ).
thf(2368,plain,
! [SV798: $i,SV432: $i,SV2: $i] :
( ( ! [SY3184: $i,SY3185: $i] :
( ( c_Event_Oevent_OGets @ SV2 @ SV432 )
!= ( c_Event_Oevent_OSays @ SV798 @ SY3184 @ SY3185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1952]) ).
thf(2369,plain,
! [SV799: $i,SV433: $i,SV3: $i] :
( ( ! [SY3186: $i,SY3187: $i] :
( ( c_Event_Oevent_OSays @ SV3 @ SV433 @ SV799 )
!= ( c_Event_Oevent_OGets @ SY3186 @ SY3187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1953]) ).
thf(2370,plain,
! [SV800: $i,SV434: $i,SV4: $i] :
( ( ! [SY3188: $i] :
( ( c_Event_Oknows @ SV4 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV4 @ SV434 @ SV800 ) @ SY3188 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV800 @ ( c_Event_Oknows @ SV4 @ SY3188 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1954]) ).
thf(2371,plain,
! [SV801: $i,SV435: $i,SV5: $i] :
( ( ! [SY3189: $i,SY3190: $i,SY3191: $i] :
( ( ( c_Event_Oevent_OSays @ SV5 @ SV435 @ SV801 )
!= ( c_Event_Oevent_OSays @ SY3189 @ SY3190 @ SY3191 ) )
| ( SV801 = SY3191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1955]) ).
thf(2372,plain,
! [SV802: $i,SV436: $i,SV6: $i] :
( ( ! [SY3192: $i,SY3193: $i] :
( ! [SY3194: $i] :
( ( c_Event_Oevent_OSays @ SV6 @ SV436 @ SV802 )
!= ( c_Event_Oevent_OSays @ SY3192 @ SY3193 @ SY3194 ) )
| ( SV436 = SY3193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1956]) ).
thf(2373,plain,
! [SV803: $i,SV437: $i,SV7: $i] :
( ( ! [SY3195: $i] :
( ! [SY3196: $i,SY3197: $i] :
( ( c_Event_Oevent_OSays @ SV7 @ SV437 @ SV803 )
!= ( c_Event_Oevent_OSays @ SY3195 @ SY3196 @ SY3197 ) )
| ( SV7 = SY3195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1957]) ).
thf(2374,plain,
! [SV804: $i,SV438: $i,SV8: $i] :
( ( ! [SY3198: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV8 @ SV438 @ SV804 ) @ SY3198 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV804 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3198 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1958]) ).
thf(2375,plain,
! [SV805: $i,SV439: $i,SV9: $i] :
( ( ! [SY3199: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV9 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV439 @ SV805 @ SY3199 ) @ SV9 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1959]) ).
thf(2376,plain,
! [SV806: $i,SV440: $i,SV10: $i] :
( ( ( ( c_List_Odrop @ SV10 @ SV440 @ SV806 )
!= ( c_List_Olist_ONil @ SV806 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV440 @ ( tc_List_Olist @ SV806 ) ) @ SV10 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1960]) ).
thf(2377,plain,
! [SV807: $i,SV441: $i,SV11: $i] :
( ( ( ( c_List_Odrop @ SV11 @ SV441 @ SV807 )
= ( c_List_Olist_ONil @ SV807 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV441 @ ( tc_List_Olist @ SV807 ) ) @ SV11 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1961]) ).
thf(2378,plain,
! [SV808: $i,SV442: $i,SV12: $i] :
( ( ! [SY3200: $i] :
( ! [SY3201: $i] :
( ( c_List_Oappend @ SV12 @ SV442 @ SV808 )
!= ( c_List_Oappend @ SY3200 @ SY3201 @ SV808 ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SY3200 @ ( tc_List_Olist @ SV808 ) ) @ SV12 @ SV808 )
= SY3200 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV12 @ ( tc_List_Olist @ SV808 ) ) @ ( c_Nat_Osize__class_Osize @ SY3200 @ ( tc_List_Olist @ SV808 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1962]) ).
thf(2379,plain,
! [SV809: $i,SV443: $i,SV13: $i] :
( ( ! [SY3202: $i] :
( ( c_List_Otake @ SV13 @ ( c_List_Oappend @ SV443 @ SV809 @ SY3202 ) @ SY3202 )
= ( c_List_Oappend @ ( c_List_Otake @ SV13 @ SV443 @ SY3202 ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV13 @ ( c_Nat_Osize__class_Osize @ SV443 @ ( tc_List_Olist @ SY3202 ) ) @ tc_nat ) @ SV809 @ SY3202 ) @ SY3202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1963]) ).
thf(2380,plain,
! [SV810: $i,SV444: $i,SV14: $i] :
( ( ! [SY3203: $i] :
( ! [SY3204: $i] :
( ( c_List_Oappend @ SV14 @ SV444 @ SV810 )
!= ( c_List_Oappend @ SY3203 @ SY3204 @ SV810 ) )
| ( SV14
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ SY3203 @ SV810 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SY3203 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1964]) ).
thf(2381,plain,
! [SV811: $i,SV445: $i,SV15: $i] :
( ( ! [SY3205: $i,SY3206: $i] :
( ( ( c_List_Oappend @ SV15 @ SV445 @ SV811 )
!= ( c_List_Oappend @ SY3205 @ SY3206 @ SV811 ) )
| ( SV445
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ SY3205 @ SV811 ) @ SY3206 @ SV811 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ ( c_Nat_Osize__class_Osize @ SY3205 @ ( tc_List_Olist @ SV811 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1965]) ).
thf(2382,plain,
! [SV812: $i,SV446: $i,SV16: $i] :
( ( ! [SY3207: $i,SY3208: $i] :
( ( ( c_List_Oappend @ SV16 @ SV446 @ SV812 )
!= ( c_List_Oappend @ SY3207 @ SY3208 @ SV812 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SY3207 @ ( tc_List_Olist @ SV812 ) ) @ SV16 @ SV812 ) @ SV446 @ SV812 )
= SY3208 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV16 @ ( tc_List_Olist @ SV812 ) ) @ ( c_Nat_Osize__class_Osize @ SY3207 @ ( tc_List_Olist @ SV812 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1966]) ).
thf(2383,plain,
! [SV813: $i,SV447: $i,SV17: $i] :
( ( ! [SY3209: $i] :
( ( c_List_Odrop @ SV17 @ ( c_List_Oappend @ SV447 @ SV813 @ SY3209 ) @ SY3209 )
= ( c_List_Oappend @ ( c_List_Odrop @ SV17 @ SV447 @ SY3209 ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ SV17 @ ( c_Nat_Osize__class_Osize @ SV447 @ ( tc_List_Olist @ SY3209 ) ) @ tc_nat ) @ SV813 @ SY3209 ) @ SY3209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1967]) ).
thf(2384,plain,
! [SV814: $i,SV448: $i,SV18: $i] :
( ( ! [SY3210: $i,SY3211: $i] :
( ( hBOOL @ ( hAPP @ SV18 @ ( c_Message_Oagent_Oagent__case @ SV448 @ SV814 @ SY3210 @ SY3211 @ t_a ) ) )
| ( SY3211 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV18 @ ( hAPP @ SV814 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV18 @ SV814 @ SY3211 ) ) ) )
| ( SY3211 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1968]) ).
thf(2385,plain,
! [SV815: $i,SV449: $i,SV19: $i] :
( ( ! [SY3212: $i,SY3213: $i,SY3214: $i] :
( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SY3212 ) )
!= ( hAPP @ SV815 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SY3212 ) ) )
| ( SV449 = c_Message_Oagent_OServer )
| ! [SY3215: $i,SY3216: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3213 @ SV19 @ SY3214 @ SV449 @ SY3212 )
= ( c_Message_Oagent_Oagent__case @ SY3215 @ SV815 @ SY3216 @ SV449 @ SY3212 ) )
| ( SV449 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2386,plain,
! [SV816: $i,SV450: $i,SV20: $i] :
( ( ! [SY3217: $i,SY3218: $i] :
( ( hBOOL @ ( hAPP @ SV20 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV816 @ SY3217 @ SY3218 @ t_a ) ) )
| ( SY3218 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV816 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV20 @ SV816 @ SY3218 ) ) ) )
| ( SY3218 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1970]) ).
thf(2387,plain,
! [SV817: $i,SV451: $i,SV21: $i] :
( ( ! [SY3219: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV21 @ SV451 ) @ ( c_Event_Oknows @ SV21 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV817 @ SY3219 ) @ SV451 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1971]) ).
thf(2388,plain,
! [SV818: $i,SV452: $i,SV22: $i] :
( ( ! [SY3220: $i,SY3221: $i] :
( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV452 @ SV818 @ SY3220 @ SY3221 @ t_a ) ) )
| ( SY3221 = c_Message_Oagent_OSpy )
| ( SY3221
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV22 @ SV818 @ SY3221 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV452 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2389,plain,
! [SV819: $i,SV453: $i,SV23: $i] :
( ( ! [SY3222: $i,SY3223: $i,SY3224: $i] :
( ! [SY3225: $i] :
( ( c_Message_Oagent_Oagent__case @ SV23 @ SV453 @ SV819 @ SY3222 @ SY3223 )
= ( c_Message_Oagent_Oagent__case @ SV23 @ SY3224 @ SY3225 @ SY3222 @ SY3223 ) )
| ( SY3222 = c_Message_Oagent_OSpy )
| ( SY3222
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY3222 @ SV453 @ SY3224 @ SY3223 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1973]) ).
thf(2390,plain,
! [SV820: $i,SV454: $i,SV24: $i] :
( ( ! [SY3226: $i,SY3227: $i] :
( ( hBOOL @ ( hAPP @ SV24 @ ( c_Message_Oagent_Oagent__case @ SV454 @ SV820 @ SY3226 @ SY3227 @ t_a ) ) )
| ( SY3227 = c_Message_Oagent_OSpy )
| ( SY3227
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV24 @ SV820 @ SY3227 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ SV454 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2391,plain,
! [SV821: $i,SV455: $i,SV25: $i] :
( ( ! [SY3228: $i,SY3229: $i] :
( ( hBOOL @ ( hAPP @ SV25 @ ( c_Message_Oagent_Oagent__case @ SV455 @ SV821 @ SY3228 @ SY3229 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV25 @ SY3228 ) )
| ( SY3229
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV25 @ SV821 @ SY3229 ) ) )
| ( SY3229 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1975]) ).
thf(2392,plain,
! [SV822: $i,SV456: $i,SV26: $i] :
( ( ! [SY3230: $i,SY3231: $i] :
( ( SV26
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV26 @ SV456 @ SV822 @ SY3230 ) ) )
| ( SV26 = c_Message_Oagent_OServer )
| ! [SY3232: $i,SY3233: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3231 @ SV456 @ SY3232 @ SV26 @ SY3230 )
= ( c_Message_Oagent_Oagent__case @ SY3233 @ SV822 @ SY3232 @ SV26 @ SY3230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1976]) ).
thf(2393,plain,
! [SV823: $i,SV457: $i,SV27: $i] :
( ( ! [SY3234: $i,SY3235: $i] :
( ( hBOOL @ ( hAPP @ SV27 @ ( c_Message_Oagent_Oagent__case @ SV457 @ SV823 @ SY3234 @ SY3235 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV27 @ SY3234 ) )
| ( SY3235
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV27 @ SV823 @ SY3235 ) ) )
| ( SY3235 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1977]) ).
thf(2394,plain,
! [SV824: $i,SV458: $i,SV28: $i] :
( ( ! [SY3236: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV28 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV458 @ SV824 @ SY3236 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY3236 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV28 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1978]) ).
thf(2395,plain,
! [SV825: $i,SV459: $i,SV29: $i] :
( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV29 @ ( c_List_Olist_OCons @ SV459 @ ( c_List_Olist_ONil @ SV825 ) @ SV825 ) @ SV825 ) @ SV825 )
= SV29 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1979]) ).
thf(2396,plain,
! [SV826: $i,SV460: $i,SV32: $i] :
( ( ~ ( class_HOL_Oord @ SV32 )
| ! [SY3237: $i] :
( ( c_lessequals @ ( hAPP @ SV460 @ SV826 ) @ ( hAPP @ SY3237 @ SV826 ) @ SV32 )
| ! [SY2634: $i] :
~ ( c_lessequals @ SV460 @ SY3237 @ ( tc_fun @ SY2634 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1980]) ).
thf(2397,plain,
! [SV827: $i,SV461: $i,SV33: $i] :
( ( ! [SY3239: $i] :
( ( ( hAPP @ SV33 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SY3239 ) )
!= ( hAPP @ SV827 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SY3239 ) ) )
| ! [SY3240: $i,SY3241: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3240 @ SV33 @ SY3241 @ SV461 @ SY3239 )
= ( c_Message_Oagent_Oagent__case @ SY3240 @ SV827 @ SY3241 @ SV461 @ SY3239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1981]) ).
thf(2398,plain,
! [SV828: $i,SV462: $i,SV34: $i] :
( ( ! [SY3242: $i,SY3243: $i] :
( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SV462 @ SV828 @ SY3242 @ SY3243 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SY3242 ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV828 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SV828 @ SY3243 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SV462 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1982]) ).
thf(2399,plain,
! [SV463: $i,SV35: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV35 @ ( c_HOL_Ominus__class_Ominus @ SV35 @ SV463 @ tc_nat ) @ tc_nat )
= SV463 )
= $true )
| ( ( ~ ( c_lessequals @ SV463 @ SV35 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1983]) ).
thf(2400,plain,
! [SV829: $i,SV464: $i,SV36: $i] :
( ( ( c_List_Obutlast @ ( c_List_Odrop @ SV36 @ SV464 @ SV829 ) @ SV829 )
= ( c_List_Odrop @ SV36 @ ( c_List_Obutlast @ SV464 @ SV829 ) @ SV829 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2401,plain,
! [SV465: $i,SV37: $i] :
( ( ( ~ ( class_Divides_Oring__div @ SV37 ) )
= $true )
| ( ( ! [SY2643: $i,SY2644: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV465 @ SY2643 @ SV37 ) @ SY2644 @ SV37 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV465 @ SY2644 @ SV37 ) @ ( c_Divides_Odiv__class_Omod @ SY2643 @ SY2644 @ SV37 ) @ SV37 ) @ SY2644 @ SV37 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1985]) ).
thf(2402,plain,
! [SV830: $i,SV467: $i,SV39: $i] :
( ( ! [SY3244: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV39 @ SV467 @ SV830 ) @ SY3244 ) )
| ~ ( hBOOL @ ( hAPP @ SV467 @ SY3244 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1987]) ).
thf(2403,plain,
! [SV831: $i,SV468: $i,SV40: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV40 @ SV468 @ tc_nat ) @ SV831 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV40 @ SV831 @ tc_nat ) @ SV468 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1988]) ).
thf(2404,plain,
! [SV832: $i,SV469: $i,SV41: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV41 @ SV469 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV832 @ SV469 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV41 @ SV832 @ tc_nat ) )
| ~ ( c_lessequals @ SV469 @ SV832 @ tc_nat )
| ~ ( c_lessequals @ SV469 @ SV41 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1989]) ).
thf(2405,plain,
! [SV833: $i,SV471: $i,SV43: $i] :
( ( ( c_List_Otl @ ( c_List_Odrop @ SV43 @ SV471 @ SV833 ) @ SV833 )
= ( c_List_Odrop @ SV43 @ ( c_List_Otl @ SV471 @ SV833 ) @ SV833 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1991]) ).
thf(2406,plain,
! [SV834: $i,SV472: $i,SV44: $i] :
( ( ( c_List_Odrop @ SV44 @ ( c_List_Obutlast @ SV472 @ SV834 ) @ SV834 )
= ( c_List_Obutlast @ ( c_List_Odrop @ SV44 @ SV472 @ SV834 ) @ SV834 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1992]) ).
thf(2407,plain,
! [SV835: $i,SV473: $i,SV45: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV45 @ SV473 @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ SV835 @ SV473 @ tc_nat ) )
| ~ ( c_lessequals @ SV473 @ SV835 @ tc_nat )
| ~ ( c_lessequals @ SV473 @ SV45 @ tc_nat )
| ( SV45 = SV835 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1993]) ).
thf(2408,plain,
! [SV474: $i,SV46: $i] :
( ( ( ~ ( class_OrderedGroup_Oab__group__add @ SV46 ) )
= $true )
| ( ( ! [SY2652: $i,SY2653: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV474 @ SV474 @ SV46 )
!= ( c_HOL_Ominus__class_Ominus @ SY2652 @ SY2653 @ SV46 ) )
| ( SY2652 = SY2653 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1994]) ).
thf(2409,plain,
! [SV475: $i,SV47: $i] :
( ( ( ~ ( class_OrderedGroup_Oab__group__add @ SV47 ) )
= $true )
| ( ( ! [SY2654: $i] :
( ! [SY2655: $i] :
( ( c_HOL_Ominus__class_Ominus @ SV475 @ SY2654 @ SV47 )
!= ( c_HOL_Ominus__class_Ominus @ SY2655 @ SY2655 @ SV47 ) )
| ( SV475 = SY2654 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1995]) ).
thf(2410,plain,
! [SV476: $i,SV48: $i] :
( ( ( c_lessequals @ SV48 @ SV476 @ tc_nat )
= $true )
| ( ( ! [SY2656: $i] :
( ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SY2656 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV476 @ SY2656 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SY2656 @ SV476 @ tc_nat )
| ~ ( c_lessequals @ SY2656 @ SV48 @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1996]) ).
thf(2411,plain,
! [SV836: $i,SV477: $i,SV49: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV49 @ SV477 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV836 @ SV477 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV49 @ SV836 @ tc_nat )
| ~ ( c_lessequals @ SV477 @ SV836 @ tc_nat )
| ~ ( c_lessequals @ SV477 @ SV49 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1997]) ).
thf(2412,plain,
! [SV837: $i,SV478: $i,SV50: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV50 @ SV478 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV837 @ SV478 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV50 @ SV837 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2413,plain,
! [SV838: $i,SV479: $i,SV51: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV51 @ SV479 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV51 @ SV838 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV838 @ SV479 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1999]) ).
thf(2414,plain,
! [SV839: $i,SV480: $i,SV52: $i] :
( ( ! [SY3245: $i] :
( ( c_Set_Oinsert @ SV52 @ ( c_Set_Oinsert @ SV480 @ SV839 @ SY3245 ) @ SY3245 )
= ( c_Set_Oinsert @ SV480 @ ( c_Set_Oinsert @ SV52 @ SV839 @ SY3245 ) @ SY3245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2415,plain,
! [SV481: $i,SV53: $i] :
( ( ( ~ ( class_Divides_Oring__div @ SV53 ) )
= $true )
| ( ( ! [SY2662: $i,SY2663: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV481 @ SY2662 @ SV53 ) @ SY2663 @ SV53 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV481 @ ( c_Divides_Odiv__class_Omod @ SY2662 @ SY2663 @ SV53 ) @ SV53 ) @ SY2663 @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2001]) ).
thf(2416,plain,
! [SV482: $i,SV54: $i] :
( ( ( ~ ( class_Divides_Oring__div @ SV54 ) )
= $true )
| ( ( ! [SY2664: $i,SY2665: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV482 @ SY2664 @ SV54 ) @ SY2665 @ SV54 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV482 @ SY2665 @ SV54 ) @ SY2664 @ SV54 ) @ SY2665 @ SV54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2002]) ).
thf(2417,plain,
! [SV840: $i,SV483: $i,SV55: $i] :
( ( ! [SY3246: $i] :
( ( c_Fun_Oinj__on @ SV55 @ SV483 @ SV840 @ SY3246 )
| ! [SY3247: $i] :
~ ( c_Fun_Oinj__on @ SV55 @ ( c_Set_Oinsert @ SY3247 @ SV483 @ SV840 ) @ SV840 @ SY3246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2418,plain,
! [SV841: $i,SV484: $i,SV56: $i] :
( ( ( c_List_Odrop @ SV56 @ ( c_List_Otl @ SV484 @ SV841 ) @ SV841 )
= ( c_List_Otl @ ( c_List_Odrop @ SV56 @ SV484 @ SV841 ) @ SV841 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2004]) ).
thf(2419,plain,
! [SV842: $i,SV485: $i,SV57: $i] :
( ( ( c_lessequals @ SV57 @ SV485 @ ( tc_fun @ SV842 @ tc_bool ) )
| ! [SY3248: $i] :
~ ( c_lessequals @ ( c_Set_Oinsert @ SY3248 @ SV57 @ SV842 ) @ SV485 @ ( tc_fun @ SV842 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2420,plain,
! [SV843: $i,SV486: $i,SV58: $i] :
( ( ! [SY3249: $i] :
( ( c_lessequals @ SV58 @ ( c_Set_Oinsert @ SV486 @ SV843 @ SY3249 ) @ ( tc_fun @ SY3249 @ tc_bool ) )
| ~ ( c_lessequals @ SV58 @ SV843 @ ( tc_fun @ SY3249 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2006]) ).
thf(2421,plain,
! [SV59: $i] :
( ( ( class_Divides_Osemiring__div @ SV59 )
= $false )
| ( ( ! [SY1671: $i,SY1672: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ SY1671 @ SY1672 @ SV59 ) @ SY1672 @ SV59 )
= ( c_Divides_Odiv__class_Omod @ SY1671 @ SY1672 @ SV59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2007]) ).
thf(2422,plain,
! [SV844: $i,SV487: $i,SV60: $i] :
( ( ( c_Set_Oinsert @ SV60 @ ( c_Set_Oinsert @ SV60 @ SV487 @ SV844 ) @ SV844 )
= ( c_Set_Oinsert @ SV60 @ SV487 @ SV844 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2008]) ).
thf(2423,plain,
! [SV488: $i,SV61: $i] :
( ( ( hBOOL @ ( hAPP @ SV61 @ SV488 ) )
= $true )
| ( ( ! [SY2675: $i] :
( ( SY2675 = SV488 )
| ! [SY2676: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY2675 @ SV61 @ SY2676 ) @ SV488 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2009]) ).
thf(2424,plain,
! [SV845: $i,SV489: $i,SV62: $i] :
( ( c_lessequals @ SV62 @ ( c_Set_Oinsert @ SV489 @ SV62 @ SV845 ) @ ( tc_fun @ SV845 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2010]) ).
thf(2425,plain,
! [SV490: $i,SV63: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV63 @ SV490 @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV63 @ SV490 @ tc_nat ) @ SV490 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV490 @ SV63 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2011]) ).
thf(2426,plain,
! [SV846: $i,SV491: $i,SV64: $i] :
( ( ( c_List_Otl @ ( c_List_Olist_OCons @ SV64 @ SV491 @ SV846 ) @ SV846 )
= SV491 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2427,plain,
! [SV492: $i,SV65: $i] :
( ( ( SV65 = SV492 )
= $true )
| ( ( ! [SY2679: $i] :
( ~ ( c_lessequals @ SV492 @ SV65 @ ( tc_fun @ SY2679 @ tc_bool ) )
| ~ ( c_lessequals @ SV65 @ SV492 @ ( tc_fun @ SY2679 @ tc_bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2013]) ).
thf(2428,plain,
! [SV493: $i,SV66: $i] :
( ( ( SV66 = SV493 )
= $true )
| ( ( ~ ( c_lessequals @ SV493 @ SV66 @ tc_nat )
| ~ ( c_lessequals @ SV66 @ SV493 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2014]) ).
thf(2429,plain,
! [SV494: $i,SV67: $i] :
( ( ( SV67 = SV494 )
= $true )
| ( ( ! [SY2680: $i] :
( ~ ( c_lessequals @ SV494 @ SV67 @ ( tc_fun @ SY2680 @ tc_bool ) )
| ~ ( c_lessequals @ SV67 @ SV494 @ ( tc_fun @ SY2680 @ tc_bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2015]) ).
thf(2430,plain,
! [SV68: $i] :
( ( ( class_Orderings_Oorder @ SV68 )
= $false )
| ( ( ! [SY1688: $i,SY1689: $i] :
( ( SY1688 = SY1689 )
| ~ ( c_lessequals @ SY1689 @ SY1688 @ SV68 )
| ~ ( c_lessequals @ SY1688 @ SY1689 @ SV68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2016]) ).
thf(2431,plain,
! [SV69: $i] :
( ( ( class_Orderings_Oorder @ SV69 )
= $false )
| ( ( ! [SY1690: $i,SY1691: $i] :
( ( SY1690 = SY1691 )
| ~ ( c_lessequals @ SY1691 @ SY1690 @ SV69 )
| ~ ( c_lessequals @ SY1690 @ SY1691 @ SV69 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2017]) ).
thf(2432,plain,
! [SV70: $i] :
( ( ( class_Orderings_Oorder @ SV70 )
= $false )
| ( ( ! [SY1692: $i,SY1693: $i] :
( ( SY1692 = SY1693 )
| ~ ( c_lessequals @ SY1692 @ SY1693 @ SV70 )
| ~ ( c_lessequals @ SY1693 @ SY1692 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2018]) ).
thf(2433,plain,
! [SV847: $i,SV495: $i,SV71: $i] :
( ( ! [SY3250: $i] :
( ~ ( class_Divides_Oring__div @ SV71 )
| ( ( c_Divides_Odiv__class_Omod @ SV495 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY3250 @ SV847 @ SV71 ) )
| ! [SY3251: $i,SY3252: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SY3251 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY3252 @ SV847 @ SV71 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3251 @ SV495 @ SV71 ) @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3252 @ SY3250 @ SV71 ) @ SV847 @ SV71 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2019]) ).
thf(2434,plain,
! [SV848: $i,SV496: $i,SV72: $i] :
( ( ! [SY3253: $i] : ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV72 @ SV496 @ SV848 @ SY3253 ) @ SY3253 ) @ ( c_Set_Oinsert @ SV848 @ ( c_List_Oset @ SV72 @ SY3253 ) @ SY3253 ) @ ( tc_fun @ SY3253 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2020]) ).
thf(2435,plain,
! [SV849: $i,SV497: $i,SV73: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV73 @ SV497 @ SV849 ) @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2436,plain,
! [SV498: $i,SV74: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV74 ) )
= $true )
| ( ( ! [SY2688: $i] :
( ( c_lessequals @ SV498 @ SY2688 @ SV74 )
| ! [SY2689: $i] :
( ~ ( c_lessequals @ SV498 @ SY2689 @ SV74 )
| ~ ( c_lessequals @ SY2689 @ SY2688 @ SV74 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2022]) ).
thf(2437,plain,
! [SV499: $i,SV75: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV75 ) )
= $true )
| ( ( ! [SY2690: $i] :
( ( c_lessequals @ SV499 @ SY2690 @ SV75 )
| ! [SY2691: $i] :
( ~ ( c_lessequals @ SY2691 @ SY2690 @ SV75 )
| ~ ( c_lessequals @ SV499 @ SY2691 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2023]) ).
thf(2438,plain,
! [SV500: $i,SV77: $i] :
( ( ( c_lessequals @ SV77 @ SV500 @ tc_nat )
= $true )
| ( ( ! [SY2692: $i] :
( ~ ( c_lessequals @ SY2692 @ SV500 @ tc_nat )
| ~ ( c_lessequals @ SV77 @ SY2692 @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2024]) ).
thf(2439,plain,
! [SV850: $i,SV503: $i,SV81: $i] :
( ( ( c_lessequals @ SV81 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
| ! [SY3254: $i] :
( ~ ( c_lessequals @ SY3254 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
| ~ ( c_lessequals @ SV81 @ SY3254 @ ( tc_fun @ SV850 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2440,plain,
! [SV851: $i,SV504: $i,SV82: $i] :
( ( ! [SY3255: $i] :
( ( c_Fun_Oinj__on @ SV82 @ SV504 @ SV851 @ SY3255 )
| ! [SY3256: $i] :
( ~ ( c_lessequals @ SV504 @ SY3256 @ ( tc_fun @ SV851 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV82 @ SY3256 @ SV851 @ SY3255 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2028]) ).
thf(2441,plain,
! [SV505: $i,SV83: $i] :
( ( ( hBOOL @ ( hAPP @ SV83 @ SV505 ) )
= $true )
| ( ( ! [SY2698: $i] :
( ~ ( hBOOL @ ( hAPP @ SY2698 @ SV505 ) )
| ! [SY1723: $i] :
~ ( c_lessequals @ SY2698 @ SV83 @ ( tc_fun @ SY1723 @ tc_bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2029]) ).
thf(2442,plain,
! [SV84: $i] :
( ( ( class_Orderings_Oorder @ SV84 )
= $false )
| ( ( ! [SY1724: $i] : ( c_lessequals @ SY1724 @ SY1724 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2030]) ).
thf(2443,plain,
! [SV85: $i] :
( ( ( class_Orderings_Opreorder @ SV85 )
= $false )
| ( ( ! [SY1725: $i] : ( c_lessequals @ SY1725 @ SY1725 @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2031]) ).
thf(2444,plain,
! [SV506: $i,SV86: $i] :
( ( ( hBOOL @ ( hAPP @ SV86 @ SV506 ) )
= $true )
| ( ( ! [SY2700: $i] :
( ! [SY1728: $i] :
~ ( c_lessequals @ SY2700 @ SV86 @ ( tc_fun @ SY1728 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY2700 @ SV506 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2032]) ).
thf(2445,plain,
! [SV852: $i,SV507: $i,SV87: $i] :
( ( ! [SY3257: $i,SY3258: $i] :
( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SV507 @ SV852 @ SY3257 @ SY3258 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SY3257 ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV852 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SV852 @ SY3258 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SV507 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2033]) ).
thf(2446,plain,
! [SV853: $i,SV508: $i,SV88: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV88 )
| ! [SY3259: $i,SY3260: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV508 @ SV853 @ SV88 )
!= ( c_HOL_Ominus__class_Ominus @ SY3259 @ SY3260 @ SV88 ) )
| ( c_lessequals @ SY3260 @ SY3259 @ SV88 )
| ~ ( c_lessequals @ SV853 @ SV508 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2034]) ).
thf(2447,plain,
! [SV854: $i,SV509: $i,SV89: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV89 )
| ! [SY3261: $i,SY3262: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV509 @ SV854 @ SV89 )
!= ( c_HOL_Ominus__class_Ominus @ SY3261 @ SY3262 @ SV89 ) )
| ( c_lessequals @ SV854 @ SV509 @ SV89 )
| ~ ( c_lessequals @ SY3262 @ SY3261 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2035]) ).
thf(2448,plain,
! [SV855: $i,SV510: $i,SV90: $i] :
( ( ! [SY3263: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV90 @ SV510 @ SV855 ) @ ( c_Set_Oinsert @ SV90 @ SY3263 @ SV855 ) @ ( tc_fun @ SV855 @ tc_bool ) )
| ~ ( c_lessequals @ SV510 @ SY3263 @ ( tc_fun @ SV855 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2036]) ).
thf(2449,plain,
! [SV511: $i,SV91: $i] :
( ( ( c_lessequals @ SV91 @ SV511 @ tc_nat )
= $true )
| ( ( c_lessequals @ SV511 @ SV91 @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2037]) ).
thf(2450,plain,
! [SV92: $i] :
( ( ( class_Orderings_Olinorder @ SV92 )
= $false )
| ( ( ! [SY1745: $i,SY1746: $i] :
( ( c_lessequals @ SY1745 @ SY1746 @ SV92 )
| ( c_lessequals @ SY1746 @ SY1745 @ SV92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2038]) ).
thf(2451,plain,
! [SV856: $i,SV512: $i,SV93: $i] :
( ( ( c_List_Orotate @ SV93 @ ( hAPP @ ( c_List_Orev @ SV512 ) @ SV856 ) @ SV512 )
= ( hAPP @ ( c_List_Orev @ SV512 ) @ ( c_List_Orotate @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SV856 @ ( tc_List_Olist @ SV512 ) ) @ ( c_Divides_Odiv__class_Omod @ SV93 @ ( c_Nat_Osize__class_Osize @ SV856 @ ( tc_List_Olist @ SV512 ) ) @ tc_nat ) @ tc_nat ) @ SV856 @ SV512 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2039]) ).
thf(2452,plain,
! [SV857: $i,SV514: $i,SV95: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV95 @ SV514 @ SV857 ) @ SV857 )
= ( c_List_Olist_OCons @ SV95 @ ( c_List_Obutlast @ SV514 @ SV857 ) @ SV857 ) )
| ( SV514
= ( c_List_Olist_ONil @ SV857 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2453,plain,
! [SV858: $i,SV515: $i,SV96: $i] :
( ( c_lessequals @ ( c_List_Oset @ SV96 @ SV515 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV858 @ SV96 @ SV515 ) @ SV515 ) @ ( tc_fun @ SV515 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2042]) ).
thf(2454,plain,
! [SV859: $i,SV516: $i,SV97: $i] :
( ( ( c_List_Oset @ ( c_List_Olist_OCons @ SV97 @ SV516 @ SV859 ) @ SV859 )
= ( c_Set_Oinsert @ SV97 @ ( c_List_Oset @ SV516 @ SV859 ) @ SV859 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2043]) ).
thf(2455,plain,
! [SV860: $i,SV517: $i,SV98: $i] :
( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ SV98 @ SV517 @ SV860 ) @ ( tc_List_Olist @ SV860 ) ) @ ( c_Nat_Osize__class_Osize @ SV517 @ ( tc_List_Olist @ SV860 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2044]) ).
thf(2456,plain,
! [SV861: $i,SV519: $i,SV100: $i] :
( ( ( ( c_List_Otl @ ( c_List_Oappend @ SV100 @ SV519 @ SV861 ) @ SV861 )
= ( c_List_Oappend @ ( c_List_Otl @ SV100 @ SV861 ) @ SV519 @ SV861 ) )
| ( SV100
= ( c_List_Olist_ONil @ SV861 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2046]) ).
thf(2457,plain,
! [SV862: $i,SV520: $i,SV101: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV101 @ SV520 @ SV862 ) @ SV862 )
= ( c_List_Oappend @ SV101 @ ( c_List_Obutlast @ SV520 @ SV862 ) @ SV862 ) )
| ( SV520
= ( c_List_Olist_ONil @ SV862 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2458,plain,
! [SV863: $i,SV521: $i,SV102: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Otake @ SV102 @ SV521 @ SV863 ) @ SV863 ) @ ( c_List_Oset @ SV521 @ SV863 ) @ ( tc_fun @ SV863 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2048]) ).
thf(2459,plain,
! [SV864: $i,SV522: $i,SV103: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Ofilter @ SV103 @ SV522 @ SV864 ) @ SV864 ) @ ( c_List_Oset @ SV522 @ SV864 ) @ ( tc_fun @ SV864 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2049]) ).
thf(2460,plain,
! [SV865: $i,SV523: $i,SV104: $i] :
( ( ( ( c_List_Otake @ SV104 @ SV523 @ SV865 )
= SV523 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV523 @ ( tc_List_Olist @ SV865 ) ) @ SV104 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2050]) ).
thf(2461,plain,
! [SV866: $i,SV524: $i,SV105: $i] :
( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Ofilter @ SV105 @ SV524 @ SV866 ) @ ( tc_List_Olist @ SV866 ) ) @ ( c_Nat_Osize__class_Osize @ SV524 @ ( tc_List_Olist @ SV866 ) ) @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2462,plain,
! [SV525: $i,SV106: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV106 ) )
= $true )
| ( ( ! [SY2724: $i] :
( ( c_lessequals @ SV525 @ SY2724 @ SV106 )
| ! [SY2725: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV525 @ ( c_List_Olist_OCons @ SY2724 @ SY2725 @ SV106 ) @ SV106 ) @ SV106 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2052]) ).
thf(2463,plain,
! [SV526: $i,SV107: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV107 ) )
= $true )
| ( ( ! [SY2726: $i,SY2727: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV526 @ ( c_List_Olist_OCons @ SY2726 @ SY2727 @ SV107 ) @ SV107 ) @ SV107 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2726 @ SY2727 @ SV107 ) @ SV107 )
| ~ ( c_lessequals @ SV526 @ SY2726 @ SV107 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2053]) ).
thf(2464,plain,
! [SV867: $i,SV527: $i,SV108: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Odrop @ SV108 @ SV527 @ SV867 ) @ SV867 ) @ ( c_List_Oset @ SV527 @ SV867 ) @ ( tc_fun @ SV867 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2054]) ).
thf(2465,plain,
! [SV868: $i,SV528: $i,SV109: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Odrop @ SV109 @ SV528 @ SV868 ) @ ( tc_List_Olist @ SV868 ) )
= ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SV528 @ ( tc_List_Olist @ SV868 ) ) @ SV109 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2055]) ).
thf(2466,plain,
! [SV869: $i,SV529: $i,SV110: $i] :
( ( ! [SY3264: $i] :
( ( ( c_List_Olist__update @ SV110 @ SV529 @ SV869 @ SY3264 )
= SV110 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV110 @ ( tc_List_Olist @ SY3264 ) ) @ SV529 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2467,plain,
! [SV870: $i,SV530: $i,SV111: $i] :
( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_OdropWhile @ SV111 @ SV530 @ SV870 ) @ ( tc_List_Olist @ SV870 ) ) @ ( c_Nat_Osize__class_Osize @ SV530 @ ( tc_List_Olist @ SV870 ) ) @ tc_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2057]) ).
thf(2468,plain,
! [SV871: $i,SV531: $i,SV112: $i] :
( ( ! [SY3265: $i] :
( ( c_List_Odrop @ SV112 @ ( c_List_Otake @ SV531 @ SV871 @ SY3265 ) @ SY3265 )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV531 @ SV112 @ tc_nat ) @ ( c_List_Odrop @ SV112 @ SV871 @ SY3265 ) @ SY3265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2058]) ).
thf(2469,plain,
! [SV872: $i,SV532: $i,SV113: $i] :
( ( ( c_List_Orotate @ SV113 @ SV532 @ SV872 )
= ( c_List_Orotate @ ( c_Divides_Odiv__class_Omod @ SV113 @ ( c_Nat_Osize__class_Osize @ SV532 @ ( tc_List_Olist @ SV872 ) ) @ tc_nat ) @ SV532 @ SV872 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2059]) ).
thf(2470,plain,
! [SV873: $i,SV533: $i,SV114: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Oremove1 @ SV114 @ SV533 @ SV873 ) @ SV873 ) @ ( c_List_Oset @ SV533 @ SV873 ) @ ( tc_fun @ SV873 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2060]) ).
thf(2471,plain,
! [SV874: $i,SV535: $i,SV116: $i] :
( ( ! [SY3266: $i,SY3267: $i] :
( ( hBOOL @ ( hAPP @ SV116 @ ( c_Message_Oagent_Oagent__case @ SV535 @ SV874 @ SY3266 @ SY3267 @ t_a ) ) )
| ( SY3267 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( hAPP @ SV874 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV116 @ SV874 @ SY3267 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ SV535 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2062]) ).
thf(2472,plain,
! [SV875: $i,SV536: $i,SV117: $i] :
( ( ! [SY3268: $i,SY3269: $i] :
( ( ( hAPP @ SV117 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SY3268 ) )
!= ( hAPP @ SV875 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SY3268 ) ) )
| ! [SY3270: $i,SY3271: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3269 @ SV117 @ SY3270 @ SV536 @ SY3268 )
= ( c_Message_Oagent_Oagent__case @ SY3269 @ SV875 @ SY3271 @ SV536 @ SY3268 ) )
| ( SV536 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2063]) ).
thf(2473,plain,
! [SV876: $i,SV537: $i,SV118: $i] :
( ( ! [SY3272: $i,SY3273: $i] :
( ( hBOOL @ ( hAPP @ SV118 @ ( c_Message_Oagent_Oagent__case @ SV537 @ SV876 @ SY3272 @ SY3273 @ t_a ) ) )
| ( SY3273 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( hAPP @ SV876 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV118 @ SV876 @ SY3273 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ SV537 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2064]) ).
thf(2474,plain,
! [SV877: $i,SV538: $i,SV119: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV119 @ SV538 ) @ ( c_Event_Oknows @ SV119 @ ( c_List_Olist_OCons @ SV877 @ SV538 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2065]) ).
thf(2475,plain,
! [SV878: $i,SV539: $i,SV120: $i] :
( ( ! [SY3274: $i] :
( ( c_List_Odrop @ SV120 @ ( c_List_Oreplicate @ SV539 @ SV878 @ SY3274 ) @ SY3274 )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ SV539 @ SV120 @ tc_nat ) @ SV878 @ SY3274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2066]) ).
thf(2476,plain,
! [SV879: $i,SV540: $i,SV121: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Osublist @ SV121 @ SV540 @ SV879 ) @ SV879 ) @ ( c_List_Oset @ SV121 @ SV879 ) @ ( tc_fun @ SV879 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2067]) ).
thf(2477,plain,
! [SV880: $i,SV541: $i,SV122: $i] :
( ( ! [SY3275: $i,SY3276: $i] :
( ( hBOOL @ ( hAPP @ SV122 @ ( c_Message_Oagent_Oagent__case @ SV541 @ SV880 @ SY3275 @ SY3276 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ SY3275 ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ ( hAPP @ SV880 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV122 @ SV880 @ SY3276 ) ) ) )
| ( SY3276 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2068]) ).
thf(2478,plain,
! [SV881: $i,SV542: $i,SV123: $i] :
( ( ! [SY3277: $i,SY3278: $i] :
( ( hBOOL @ ( hAPP @ SV123 @ ( c_Message_Oagent_Oagent__case @ SV542 @ SV881 @ SY3277 @ SY3278 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ SY3277 ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ ( hAPP @ SV881 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV123 @ SV881 @ SY3278 ) ) ) )
| ( SY3278 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2069]) ).
thf(2479,plain,
! [SV882: $i,SV543: $i,SV124: $i] :
( ( ! [SY3279: $i,SY3280: $i] :
( ( ( hAPP @ SV124 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SY3279 ) )
!= ( hAPP @ SV882 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SY3279 ) ) )
| ( SV543 = c_Message_Oagent_OServer )
| ! [SY3281: $i,SY3282: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3280 @ SV124 @ SY3281 @ SV543 @ SY3279 )
= ( c_Message_Oagent_Oagent__case @ SY3282 @ SV882 @ SY3281 @ SV543 @ SY3279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2070]) ).
thf(2480,plain,
! [SV883: $i,SV544: $i,SV125: $i] :
( ( ! [SY3283: $i] :
( ( SV125
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV125 @ SV544 @ SV883 @ SY3283 ) ) )
| ! [SY3284: $i,SY3285: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3284 @ SV544 @ SY3285 @ SV125 @ SY3283 )
= ( c_Message_Oagent_Oagent__case @ SY3284 @ SV883 @ SY3285 @ SV125 @ SY3283 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2071]) ).
thf(2481,plain,
! [SV884: $i,SV545: $i,SV126: $i] :
( ( ! [SY3286: $i,SY3287: $i] :
( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV545 @ SV884 @ SY3286 @ SY3287 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SY3286 ) )
| ( SY3287
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV884 @ SY3287 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SV545 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2482,plain,
! [SV885: $i,SV546: $i,SV127: $i] :
( ( ! [SY3288: $i,SY3289: $i] :
( ( hBOOL @ ( hAPP @ SV127 @ ( c_Message_Oagent_Oagent__case @ SV546 @ SV885 @ SY3288 @ SY3289 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SY3288 ) )
| ( SY3289
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV127 @ SV885 @ SY3289 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SV546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2483,plain,
! [SV886: $i,SV129: $i] :
( ( ( hBOOL @ ( hAPP @ SV129 @ SV886 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV129 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV129 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2075]) ).
thf(2484,plain,
! [SV887: $i,SV130: $i] :
( ( ( hBOOL @ ( hAPP @ SV130 @ SV887 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV130 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV130 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2076]) ).
thf(2485,plain,
! [SV888: $i,SV131: $i] :
( ( ( hBOOL @ ( hAPP @ SV131 @ SV888 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV131 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV131 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2077]) ).
thf(2486,plain,
! [SV889: $i,SV132: $i] :
( ( ( hBOOL @ ( hAPP @ SV132 @ SV889 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV132 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV132 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2078]) ).
thf(2487,plain,
! [SV890: $i,SV133: $i] :
( ( ( hBOOL @ ( hAPP @ SV133 @ SV890 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV133 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV133 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2079]) ).
thf(2488,plain,
! [SV891: $i,SV134: $i] :
( ( ( hBOOL @ ( hAPP @ SV134 @ SV891 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV134 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV134 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2489,plain,
! [SV892: $i,SV135: $i] :
( ( ( hBOOL @ ( hAPP @ SV135 @ SV892 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV135 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV135 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2081]) ).
thf(2490,plain,
! [SV893: $i,SV136: $i] :
( ( ( hBOOL @ ( hAPP @ SV136 @ SV893 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV136 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV136 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2491,plain,
! [SV894: $i,SV137: $i] :
( ( ( hBOOL @ ( hAPP @ SV137 @ SV894 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV137 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV137 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2083]) ).
thf(2492,plain,
! [SV895: $i,SV138: $i] :
( ( ( hBOOL @ ( hAPP @ SV138 @ SV895 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV138 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV138 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2493,plain,
! [SV896: $i,SV139: $i] :
( ( ( hBOOL @ ( hAPP @ SV139 @ SV896 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV139 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV139 ) @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2085]) ).
thf(2494,plain,
! [SV897: $i,SV548: $i,SV140: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SV897 @ SV548 )
!= SV140 )
| ! [SY3290: $i] :
( ( c_List_Oappend @ SV897 @ SY3290 @ SV548 )
= ( c_List_Oappend @ SV140 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SV897 @ SV548 ) @ SY3290 @ SV548 ) @ SV548 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV897 @ ( tc_List_Olist @ SV548 ) ) @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2495,plain,
! [SV898: $i,SV549: $i,SV141: $i] :
( ( ( SV141
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) )
| ! [SY3291: $i] :
( ( c_List_Oappend @ SV141 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) @ SY3291 @ SV549 ) @ SV549 )
= ( c_List_Oappend @ SV898 @ SY3291 @ SV549 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ ( c_Nat_Osize__class_Osize @ SV898 @ ( tc_List_Olist @ SV549 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2496,plain,
! [SV550: $i,SV142: $i] :
( ( ( ~ ( class_OrderedGroup_Ocomm__monoid__add @ SV142 ) )
= $true )
| ( ( ! [SY2777: $i,SY2778: $i] :
( ( ( c_Finite__Set_Osetsum @ SV550 @ ( c_List_Oset @ SY2777 @ SY2778 ) @ SY2778 @ SV142 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV550 @ SY2777 @ SY2778 @ SV142 ) @ SV142 ) )
| ~ ( c_List_Odistinct @ SY2777 @ SY2778 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2088]) ).
thf(2497,plain,
! [SV551: $i,SV143: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Obutlast @ SV143 @ SV551 ) @ ( c_List_Olist_OCons @ ( c_List_Olast @ SV143 @ SV551 ) @ ( c_List_Olist_ONil @ SV551 ) @ SV551 ) @ SV551 )
= SV143 )
= $true )
| ( ( SV143
= ( c_List_Olist_ONil @ SV551 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2089]) ).
thf(2498,plain,
! [SV899: $i,SV552: $i,SV144: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV144 ) @ ( c_List_Otake @ SV552 @ SV899 @ SV144 ) )
= ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SV899 @ ( tc_List_Olist @ SV144 ) ) @ SV552 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV144 ) @ SV899 ) @ SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2090]) ).
thf(2499,plain,
! [SV900: $i,SV553: $i,SV145: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV145 ) @ ( c_List_Odrop @ SV553 @ SV900 @ SV145 ) )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ ( c_Nat_Osize__class_Osize @ SV900 @ ( tc_List_Olist @ SV145 ) ) @ SV553 @ tc_nat ) @ ( hAPP @ ( c_List_Orev @ SV145 ) @ SV900 ) @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2091]) ).
thf(2500,plain,
! [SV901: $i,SV146: $i] :
( ( ( ! [SY3292: $i] :
( ( c_Event_Oknows @ SV146 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV146 @ SV901 ) @ SY3292 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV901 @ ( c_Event_Oknows @ SV146 @ SY3292 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( SV146 = c_Message_Oagent_OSpy )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2092]) ).
thf(2501,plain,
! [SV902: $i,SV554: $i,SV147: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV147 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV554 @ SV902 ) @ SV147 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2093]) ).
thf(2502,plain,
! [SV903: $i,SV555: $i,SV148: $i] :
( ( ! [SY3293: $i,SY3294: $i] :
( ( hBOOL @ ( hAPP @ SV148 @ ( c_Message_Oagent_Oagent__case @ SV555 @ SV903 @ SY3293 @ SY3294 @ t_a ) ) )
| ( SY3294 = c_Message_Oagent_OSpy )
| ( SY3294
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV148 @ SV903 @ SY3294 ) ) )
| ( SY3294 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2503,plain,
! [SV904: $i,SV556: $i,SV149: $i] :
( ( ! [SY3295: $i,SY3296: $i,SY3297: $i,SY3298: $i] :
( ! [SY3299: $i] :
( ( c_Message_Oagent_Oagent__case @ SV149 @ SV556 @ SV904 @ SY3295 @ SY3296 )
= ( c_Message_Oagent_Oagent__case @ SY3297 @ SY3298 @ SY3299 @ SY3295 @ SY3296 ) )
| ( SY3295 = c_Message_Oagent_OSpy )
| ( SY3295
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SY3295 @ SV556 @ SY3298 @ SY3296 ) ) )
| ( SY3295 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2095]) ).
thf(2504,plain,
! [SV905: $i,SV557: $i,SV150: $i] :
( ( ! [SY3300: $i,SY3301: $i] :
( ( hBOOL @ ( hAPP @ SV150 @ ( c_Message_Oagent_Oagent__case @ SV557 @ SV905 @ SY3300 @ SY3301 @ t_a ) ) )
| ( SY3301 = c_Message_Oagent_OSpy )
| ( SY3301
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV150 @ SV905 @ SY3301 ) ) )
| ( SY3301 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2096]) ).
thf(2505,plain,
! [SV906: $i,SV558: $i,SV151: $i] :
( ( ( c_List_Orotate @ SV151 @ SV558 @ SV906 )
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Divides_Odiv__class_Omod @ SV151 @ ( c_Nat_Osize__class_Osize @ SV558 @ ( tc_List_Olist @ SV906 ) ) @ tc_nat ) @ SV558 @ SV906 ) @ ( c_List_Otake @ ( c_Divides_Odiv__class_Omod @ SV151 @ ( c_Nat_Osize__class_Osize @ SV558 @ ( tc_List_Olist @ SV906 ) ) @ tc_nat ) @ SV558 @ SV906 ) @ SV906 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2097]) ).
thf(2506,plain,
! [SV559: $i,SV152: $i] :
( ( ( ( c_List_Orotate1 @ SV152 @ SV559 )
= ( c_List_Oappend @ ( c_List_Otl @ SV152 @ SV559 ) @ ( c_List_Olist_OCons @ ( c_List_Ohd @ SV152 @ SV559 ) @ ( c_List_Olist_ONil @ SV559 ) @ SV559 ) @ SV559 ) )
= $true )
| ( ( SV152
= ( c_List_Olist_ONil @ SV559 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2098]) ).
thf(2507,plain,
! [SV153: $i] :
( ( ( class_Orderings_Olinorder @ SV153 )
= $false )
| ( ( ! [SY1890: $i,SY1891: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SY1890 @ SY1891 @ SV153 ) @ SV153 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1891 @ SV153 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2099]) ).
thf(2508,plain,
! [SV907: $i,SV560: $i,SV154: $i] :
( ( ! [SY3302: $i,SY3303: $i] :
( ( c_List_Otake @ SV154 @ ( c_List_Omap @ SV560 @ SV907 @ SY3302 @ SY3303 ) @ SY3303 )
= ( c_List_Omap @ SV560 @ ( c_List_Otake @ SV154 @ SV907 @ SY3302 ) @ SY3302 @ SY3303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2100]) ).
thf(2509,plain,
! [SV908: $i,SV561: $i,SV155: $i] :
( ( ( c_List_Oremdups @ ( c_List_Ofilter @ SV155 @ SV561 @ SV908 ) @ SV908 )
= ( c_List_Ofilter @ SV155 @ ( c_List_Oremdups @ SV561 @ SV908 ) @ SV908 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2101]) ).
thf(2510,plain,
! [SV909: $i,SV562: $i,SV157: $i] :
( ( ! [SY3304: $i,SY3305: $i,SY3306: $i] :
( ( c_List_Olist__all2 @ SV157 @ ( c_List_Otake @ SV562 @ SV909 @ SY3304 ) @ ( c_List_Otake @ SV562 @ SY3305 @ SY3306 ) @ SY3304 @ SY3306 )
| ~ ( c_List_Olist__all2 @ SV157 @ SV909 @ SY3305 @ SY3304 @ SY3306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2103]) ).
thf(2511,plain,
! [SV910: $i,SV563: $i,SV158: $i] :
( ( ! [SY3307: $i] :
( ( c_Fun_Oinj__on @ SV158 @ ( c_List_Oset @ SV563 @ SV910 ) @ SV910 @ SY3307 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SV158 @ SV563 @ SV910 @ SY3307 ) @ SY3307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2104]) ).
thf(2512,plain,
! [SV911: $i,SV564: $i,SV159: $i] :
( ( ! [SY3308: $i] :
( ! [SY3309: $i] :
( ( c_List_Olist_OCons @ SV159 @ SV564 @ SV911 )
!= ( c_List_Ofilter @ SY3308 @ SY3309 @ SV911 ) )
| ( hBOOL @ ( hAPP @ SY3308 @ SV159 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2105]) ).
thf(2513,plain,
! [SV565: $i,SV160: $i] :
( ( ( SV160 = SV565 )
= $true )
| ( ( ! [SY2808: $i] :
~ ( c_List_Olist__all2 @ ( c_fequal @ SY2808 ) @ SV160 @ SV565 @ SY2808 @ SY2808 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2106]) ).
thf(2514,plain,
! [SV912: $i,SV566: $i,SV161: $i] :
( ( ! [SY3310: $i,SY3311: $i,SY3312: $i] :
( ( c_List_Ofoldl @ SV161 @ SV566 @ ( c_List_Olist_OCons @ SV912 @ SY3310 @ SY3311 ) @ SY3312 @ SY3311 )
= ( c_List_Ofoldl @ SV161 @ ( hAPP @ ( hAPP @ SV161 @ SV566 ) @ SV912 ) @ SY3310 @ SY3312 @ SY3311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2107]) ).
thf(2515,plain,
! [SV162: $i] :
( ( ( class_Orderings_Olinorder @ SV162 )
= $false )
| ( ( ! [SY1917: $i,SY1918: $i] :
( ( ( c_List_Oset @ SY1917 @ SV162 )
!= ( c_List_Oset @ SY1918 @ SV162 ) )
| ~ ( c_List_Odistinct @ SY1918 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1918 @ SV162 )
| ~ ( c_List_Odistinct @ SY1917 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SY1917 @ SV162 )
| ( SY1917 = SY1918 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2108]) ).
thf(2516,plain,
! [SV567: $i,SV163: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV163 ) )
= $true )
| ( ( ! [SY2813: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV567 @ SY2813 @ SV163 ) @ SV163 )
| ! [SY2814: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2814 @ ( c_List_Olist_OCons @ SV567 @ SY2813 @ SV163 ) @ SV163 ) @ SV163 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2109]) ).
thf(2517,plain,
! [SV913: $i,SV568: $i,SV164: $i] :
( ( ! [SY3313: $i,SY3314: $i,SY3315: $i,SY3316: $i] :
( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SV568 @ SV913 @ SY3313 ) @ ( c_List_Oappend @ SY3314 @ SY3315 @ SY3316 ) @ SY3313 @ SY3316 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV913 @ SY3315 @ SY3313 @ SY3316 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV568 @ SY3314 @ SY3313 @ SY3316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2110]) ).
thf(2518,plain,
! [SV914: $i,SV569: $i,SV165: $i] :
( ( ! [SY3317: $i,SY3318: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SY3317 ) ) )
| ! [SY3319: $i] :
( ( ( c_Nat_Osize__class_Osize @ SY3318 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SY3319 @ ( tc_List_Olist @ SY3317 ) ) )
| ! [SY3320: $i] :
( ( c_List_Olist__all2 @ SY3320 @ ( c_List_Oappend @ SY3318 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SY3319 @ SV914 @ SY3317 ) @ SV569 @ SY3317 )
| ~ ( c_List_Olist__all2 @ SY3320 @ SV165 @ SV914 @ SV569 @ SY3317 )
| ~ ( c_List_Olist__all2 @ SY3320 @ SY3318 @ SY3319 @ SV569 @ SY3317 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2111]) ).
thf(2519,plain,
! [SV915: $i,SV570: $i,SV166: $i] :
( ( ! [SY3321: $i,SY3322: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SY3321 ) ) )
| ! [SY3323: $i] :
( ( ( c_Nat_Osize__class_Osize @ SY3322 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SY3323 @ ( tc_List_Olist @ SY3321 ) ) )
| ! [SY3324: $i] :
( ( c_List_Olist__all2 @ SY3324 @ ( c_List_Oappend @ SY3323 @ SV915 @ SY3321 ) @ ( c_List_Oappend @ SY3322 @ SV166 @ SV570 ) @ SY3321 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3324 @ SV915 @ SV166 @ SY3321 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3324 @ SY3323 @ SY3322 @ SY3321 @ SV570 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2112]) ).
thf(2520,plain,
! [SV916: $i,SV571: $i,SV167: $i] :
( ( ! [SY3325: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV167 @ SV571 @ SV916 ) @ SY3325 @ SV916 )
= ( c_List_Olist_OCons @ SV167 @ ( c_List_Oappend @ SV571 @ SY3325 @ SV916 ) @ SV916 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2113]) ).
thf(2521,plain,
! [SV917: $i,SV572: $i,SV168: $i] :
( ( ! [SY3326: $i] :
( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV168 @ SV572 @ SV917 ) @ SY3326 @ SV917 )
= ( c_List_Olist_OCons @ SV168 @ ( c_List_Oappend @ SV572 @ SY3326 @ SV917 ) @ SV917 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2114]) ).
thf(2522,plain,
! [SV918: $i,SV573: $i,SV169: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV169 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV169 @ SV573 @ SV918 ) @ SV918 ) ) )
| ( ( c_List_OdropWhile @ SV169 @ SV573 @ SV918 )
= ( c_List_Olist_ONil @ SV918 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2523,plain,
! [SV574: $i,SV170: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV170 @ SV574 ) @ SV574 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV170 @ SV574 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2116]) ).
thf(2524,plain,
! [SV575: $i,SV171: $i] :
( ( ( c_List_Odistinct @ SV171 @ SV575 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Orotate1 @ SV171 @ SV575 ) @ SV575 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2117]) ).
thf(2525,plain,
! [SV919: $i,SV576: $i,SV172: $i] :
( ( SV172
= ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV576 @ ( tc_List_Olist @ SV919 ) ) @ ( c_List_Oappend @ SV576 @ SV172 @ SV919 ) @ SV919 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2118]) ).
thf(2526,plain,
! [SV920: $i,SV577: $i,SV173: $i] :
( ( ( c_List_Odistinct @ ( c_List_Ofilter @ SV173 @ SV577 @ SV920 ) @ SV920 )
| ~ ( c_List_Odistinct @ SV577 @ SV920 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2119]) ).
thf(2527,plain,
! [SV921: $i,SV578: $i,SV174: $i] :
( ( ! [SY3327: $i,SY3328: $i] :
( ( c_List_Omap @ SV174 @ ( c_List_Olist_OCons @ SV578 @ SV921 @ SY3327 ) @ SY3327 @ SY3328 )
= ( c_List_Olist_OCons @ ( hAPP @ SV174 @ SV578 ) @ ( c_List_Omap @ SV174 @ SV921 @ SY3327 @ SY3328 ) @ SY3328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2120]) ).
thf(2528,plain,
! [SV922: $i,SV579: $i,SV175: $i] :
( ( ! [SY3329: $i,SY3330: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ SV175 @ SV579 ) @ ( c_List_Omap @ SV175 @ SV922 @ SY3329 @ SY3330 ) @ SY3330 )
= ( c_List_Omap @ SV175 @ ( c_List_Olist_OCons @ SV579 @ SV922 @ SY3329 ) @ SY3329 @ SY3330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2121]) ).
thf(2529,plain,
! [SV923: $i,SV580: $i,SV176: $i] :
( ( ! [SY3331: $i,SY3332: $i] :
( ( c_List_Omap @ SV176 @ ( c_List_Olist_OCons @ SV580 @ SV923 @ SY3331 ) @ SY3331 @ SY3332 )
= ( c_List_Olist_OCons @ ( hAPP @ SV176 @ SV580 ) @ ( c_List_Omap @ SV176 @ SV923 @ SY3331 @ SY3332 ) @ SY3332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2122]) ).
thf(2530,plain,
! [SV924: $i,SV581: $i,SV177: $i] :
( ( ! [SY3333: $i,SY3334: $i,SY3335: $i] :
( ( c_List_Olist_Olist__case @ SV177 @ SV581 @ ( c_List_Olist_OCons @ SV924 @ SY3333 @ SY3334 ) @ SY3335 @ SY3334 )
= ( hAPP @ ( hAPP @ SV581 @ SV924 ) @ SY3333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2123]) ).
thf(2531,plain,
! [SV925: $i,SV582: $i,SV178: $i] :
( ( ( c_List_Oremove1 @ SV178 @ ( c_List_Olist_OCons @ SV178 @ SV582 @ SV925 ) @ SV925 )
= SV582 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2124]) ).
thf(2532,plain,
! [SV926: $i,SV583: $i,SV180: $i] :
( ( ! [SY3336: $i,SY3337: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV180 @ SV583 ) @ SV926 ) )
| ! [SY3338: $i,SY3339: $i] :
~ ( c_List_Olist__all2 @ SV180 @ ( c_List_Olist_OCons @ SV583 @ SY3336 @ SY3337 ) @ ( c_List_Olist_OCons @ SV926 @ SY3338 @ SY3339 ) @ SY3337 @ SY3339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2126]) ).
thf(2533,plain,
! [SV927: $i,SV584: $i,SV181: $i] :
( ( ! [SY3340: $i] :
( ( c_List_Olist_OCons @ SV181 @ ( c_List_Oappend @ SV584 @ SV927 @ SY3340 ) @ SY3340 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV181 @ SV584 @ SY3340 ) @ SV927 @ SY3340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2127]) ).
thf(2534,plain,
! [SV928: $i,SV585: $i,SV182: $i] :
( ( ! [SY3341: $i] :
( ( c_List_Olist_OCons @ SV182 @ ( c_List_Oappend @ SV585 @ SV928 @ SY3341 ) @ SY3341 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV182 @ SV585 @ SY3341 ) @ SV928 @ SY3341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2535,plain,
! [SV929: $i,SV586: $i,SV183: $i] :
( ( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV183 @ SV586 @ SV929 ) @ SV929 )
= ( c_List_Olast @ SV586 @ SV929 ) )
| ( SV586
= ( c_List_Olist_ONil @ SV929 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2129]) ).
thf(2536,plain,
! [SV930: $i,SV587: $i,SV184: $i] :
( ( ! [SY3342: $i] :
( ( c_Message_Oagent_Oagent__case @ SV184 @ SV587 @ SV930 @ c_Message_Oagent_OServer @ SY3342 )
= SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2130]) ).
thf(2537,plain,
! [SV931: $i,SV588: $i,SV185: $i] :
( ( ! [SY3343: $i] :
( ( c_List_Odistinct @ ( c_List_Omap @ SV185 @ SV588 @ SV931 @ SY3343 ) @ SY3343 )
| ~ ( c_Fun_Oinj__on @ SV185 @ ( c_List_Oset @ SV588 @ SV931 ) @ SV931 @ SY3343 )
| ~ ( c_List_Odistinct @ SV588 @ SV931 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2131]) ).
thf(2538,plain,
! [SV932: $i,SV589: $i,SV186: $i] :
( ( ( c_List_Oappend @ ( c_List_Otake @ SV186 @ SV589 @ SV932 ) @ ( c_List_Odrop @ SV186 @ SV589 @ SV932 ) @ SV932 )
= SV589 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2132]) ).
thf(2539,plain,
! [SV187: $i] :
( ( ( class_Orderings_Olinorder @ SV187 )
= $false )
| ( ( ! [SY1995: $i] :
( ( c_List_Olinorder__class_Osorted @ SY1995 @ SV187 )
| ! [SY1996: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1996 @ SY1995 @ SV187 ) @ SV187 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2133]) ).
thf(2540,plain,
! [SV933: $i,SV590: $i,SV188: $i] :
( ( ( c_List_Odistinct @ ( c_List_Odrop @ SV188 @ SV590 @ SV933 ) @ SV933 )
| ~ ( c_List_Odistinct @ SV590 @ SV933 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2134]) ).
thf(2541,plain,
! [SV934: $i,SV591: $i,SV189: $i] :
( ( ( c_List_Olist__all @ SV189 @ SV591 @ SV934 )
| ! [SY3344: $i] :
~ ( c_List_Olist__all @ SV189 @ ( c_List_Olist_OCons @ SY3344 @ SV591 @ SV934 ) @ SV934 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2135]) ).
thf(2542,plain,
! [SV592: $i,SV190: $i] :
( ( ( ( c_List_Oremdups @ SV190 @ SV592 )
!= SV190 )
= $true )
| ( ( c_List_Odistinct @ SV190 @ SV592 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2136]) ).
thf(2543,plain,
! [SV593: $i,SV191: $i] :
( ( ( ( c_List_Oremdups @ SV191 @ SV593 )
= SV191 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV191 @ SV593 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2137]) ).
thf(2544,plain,
! [SV594: $i,SV192: $i] :
( ( ( hBOOL @ ( hAPP @ SV192 @ SV594 ) )
= $true )
| ( ( ! [SY2869: $i,SY2870: $i] :
~ ( c_List_Olist__all @ SV192 @ ( c_List_Olist_OCons @ SV594 @ SY2869 @ SY2870 ) @ SY2870 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2138]) ).
thf(2545,plain,
! [SV935: $i,SV595: $i,SV193: $i] :
( ( ( ( c_List_Ohd @ ( c_List_Oappend @ SV193 @ SV595 @ SV935 ) @ SV935 )
= ( c_List_Ohd @ SV193 @ SV935 ) )
| ( SV193
= ( c_List_Olist_ONil @ SV935 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2546,plain,
! [SV936: $i,SV596: $i,SV194: $i] :
( ( ! [SY3345: $i,SY3346: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
!= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SY3345 ) ) )
| ! [SY3347: $i,SY3348: $i] :
( ( c_List_Olist__all2 @ SY3346 @ ( c_List_Oappend @ SV194 @ SY3347 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SY3348 @ SY3345 ) @ SV596 @ SY3345 )
| ~ ( c_List_Olist__all2 @ SY3346 @ SY3347 @ SY3348 @ SV596 @ SY3345 )
| ~ ( c_List_Olist__all2 @ SY3346 @ SV194 @ SV936 @ SV596 @ SY3345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2140]) ).
thf(2547,plain,
! [SV937: $i,SV597: $i,SV195: $i] :
( ( ( c_List_Olist_OCons @ SV195 @ SV597 @ SV937 )
!= SV597 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2141]) ).
thf(2548,plain,
! [SV938: $i,SV598: $i,SV196: $i] :
( ( SV196
!= ( c_List_Olist_OCons @ SV598 @ SV196 @ SV938 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2142]) ).
thf(2549,plain,
! [SV939: $i,SV599: $i,SV197: $i] :
( ( ( c_List_Orotate1 @ ( c_List_Olist_OCons @ SV197 @ SV599 @ SV939 ) @ SV939 )
= ( c_List_Oappend @ SV599 @ ( c_List_Olist_OCons @ SV197 @ ( c_List_Olist_ONil @ SV939 ) @ SV939 ) @ SV939 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2143]) ).
thf(2550,plain,
! [SV940: $i,SV600: $i,SV198: $i] :
( ( ! [SY3349: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ SV198 @ SV600 @ SV940 @ SY3349 ) @ ( tc_List_Olist @ SY3349 ) )
= ( c_Nat_Osize__class_Osize @ SV198 @ ( tc_List_Olist @ SY3349 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2144]) ).
thf(2551,plain,
! [SV941: $i,SV601: $i,SV199: $i] :
( ( ( c_List_Olist_OCons @ SV199 @ SV601 @ SV941 )
= ( c_List_Oappend @ ( c_List_Olist_ONil @ SV941 ) @ ( c_List_Olist_OCons @ SV199 @ SV601 @ SV941 ) @ SV941 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2145]) ).
thf(2552,plain,
! [SV942: $i,SV602: $i,SV200: $i] :
( ( ! [SY3350: $i,SY3351: $i,SY3352: $i] :
( ( c_List_Omap @ SV200 @ ( c_List_Olist__update @ SV602 @ SV942 @ SY3350 @ SY3351 ) @ SY3351 @ SY3352 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV200 @ SV602 @ SY3351 @ SY3352 ) @ SV942 @ ( hAPP @ SV200 @ SY3350 ) @ SY3352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2146]) ).
thf(2553,plain,
! [SV943: $i,SV603: $i,SV201: $i] :
( ( ! [SY3353: $i,SY3354: $i] :
( ( c_Message_Oagent_Oagent__case @ SV201 @ SV603 @ SV943 @ ( c_Message_Oagent_OFriend @ SY3353 ) @ SY3354 )
= ( hAPP @ SV603 @ SY3353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2147]) ).
thf(2554,plain,
! [SV944: $i,SV604: $i,SV202: $i] :
( ( ! [SY3355: $i] :
( ( c_List_Olist__all @ SV202 @ ( c_List_Oappend @ SV604 @ SV944 @ SY3355 ) @ SY3355 )
| ~ ( c_List_Olist__all @ SV202 @ SV944 @ SY3355 )
| ~ ( c_List_Olist__all @ SV202 @ SV604 @ SY3355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2148]) ).
thf(2555,plain,
! [SV203: $i] :
( ( ( class_Orderings_Olinorder @ SV203 )
= $false )
| ( ( ! [SY2038: $i] : ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2038 @ ( c_List_Olist_ONil @ SV203 ) @ SV203 ) @ SV203 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2149]) ).
thf(2556,plain,
! [SV945: $i,SV605: $i,SV204: $i] :
( ( ( c_List_Odistinct @ ( c_List_Otake @ SV204 @ SV605 @ SV945 ) @ SV945 )
| ~ ( c_List_Odistinct @ SV605 @ SV945 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2150]) ).
thf(2557,plain,
! [SV946: $i,SV606: $i,SV205: $i] :
( ( ( c_List_Oappend @ ( c_List_Oreplicate @ SV205 @ SV606 @ SV946 ) @ ( c_List_Olist_OCons @ SV606 @ ( c_List_Olist_ONil @ SV946 ) @ SV946 ) @ SV946 )
= ( c_List_Olist_OCons @ SV606 @ ( c_List_Oreplicate @ SV205 @ SV606 @ SV946 ) @ SV946 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2151]) ).
thf(2558,plain,
! [SV947: $i,SV607: $i,SV206: $i] :
( ( ! [SY3356: $i,SY3357: $i,SY3358: $i] :
( ( c_List_Ofoldl @ SV206 @ SV607 @ ( c_List_Oappend @ SV947 @ SY3356 @ SY3357 ) @ SY3358 @ SY3357 )
= ( c_List_Ofoldl @ SV206 @ ( c_List_Ofoldl @ SV206 @ SV607 @ SV947 @ SY3358 @ SY3357 ) @ SY3356 @ SY3358 @ SY3357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2152]) ).
thf(2559,plain,
! [SV608: $i,SV207: $i] :
( ( ( c_List_Odistinct @ SV207 @ SV608 )
= $true )
| ( ( ! [SY2898: $i] :
~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SY2898 @ SV207 @ SV608 ) @ SV608 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2153]) ).
thf(2560,plain,
! [SV948: $i,SV609: $i,SV208: $i] :
( ( ! [SY3359: $i] :
( ( c_List_Ofilter @ SV208 @ ( c_List_Oappend @ SV609 @ SV948 @ SY3359 ) @ SY3359 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV208 @ SV609 @ SY3359 ) @ ( c_List_Ofilter @ SV208 @ SV948 @ SY3359 ) @ SY3359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2154]) ).
thf(2561,plain,
! [SV610: $i,SV209: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV209 )
!= ( c_Message_Oagent_OFriend @ SV610 ) )
= $true )
| ( ( SV209 = SV610 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2155]) ).
thf(2562,plain,
! [SV949: $i,SV611: $i,SV211: $i] :
( ( ! [SY3360: $i] :
( ( c_List_Omap @ SV211 @ SV611 @ SV949 @ SY3360 )
!= ( c_List_Olist_ONil @ SY3360 ) )
| ( SV611
= ( c_List_Olist_ONil @ SV949 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2156]) ).
thf(2563,plain,
! [SV950: $i,SV612: $i,SV212: $i] :
( ( c_List_Olist__all2 @ SV212 @ ( c_List_Olist_ONil @ SV612 ) @ ( c_List_Olist_ONil @ SV950 ) @ SV612 @ SV950 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2157]) ).
thf(2564,plain,
! [SV613: $i,SV213: $i] :
( ( ( SV213
= ( c_List_Olist_ONil @ SV613 ) )
= $true )
| ( ( ~ ( c_List_Onull @ SV213 @ SV613 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2158]) ).
thf(2565,plain,
! [SV951: $i,SV614: $i,SV215: $i] :
( ( ( SV215
!= ( c_List_Oappend @ SV614 @ SV215 @ SV951 ) )
| ( SV614
= ( c_List_Olist_ONil @ SV951 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2159]) ).
thf(2566,plain,
! [SV952: $i,SV615: $i,SV216: $i] :
( ( ( ( c_List_Oappend @ SV216 @ SV615 @ SV952 )
!= SV615 )
| ( SV216
= ( c_List_Olist_ONil @ SV952 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2160]) ).
thf(2567,plain,
! [SV953: $i,SV616: $i,SV217: $i] :
( ( ( SV217
!= ( c_List_Oappend @ SV217 @ SV616 @ SV953 ) )
| ( SV616
= ( c_List_Olist_ONil @ SV953 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2161]) ).
thf(2568,plain,
! [SV954: $i,SV617: $i,SV218: $i] :
( ( ( ( c_List_Oappend @ SV218 @ SV617 @ SV954 )
!= SV218 )
| ( SV617
= ( c_List_Olist_ONil @ SV954 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2162]) ).
thf(2569,plain,
! [SV618: $i,SV219: $i] :
( ( ( ( c_List_Oremdups @ SV219 @ SV618 )
!= ( c_List_Olist_ONil @ SV618 ) )
= $true )
| ( ( SV219
= ( c_List_Olist_ONil @ SV618 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2163]) ).
thf(2570,plain,
! [SV955: $i,SV619: $i,SV220: $i] :
( ( ( ( c_List_Orotate @ SV220 @ SV619 @ SV955 )
!= ( c_List_Olist_ONil @ SV955 ) )
| ( SV619
= ( c_List_Olist_ONil @ SV955 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2164]) ).
thf(2571,plain,
! [SV620: $i,SV221: $i] :
( ( ( SV221
= ( c_List_Olist_ONil @ SV620 ) )
= $true )
| ( ( ! [SY2909: $i,SY2910: $i] :
~ ( c_List_Olist__all2 @ SY2909 @ SV221 @ ( c_List_Olist_ONil @ SY2910 ) @ SV620 @ SY2910 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2165]) ).
thf(2572,plain,
! [SV621: $i,SV222: $i] :
( ( ( SV222
= ( c_List_Olist_ONil @ SV621 ) )
= $true )
| ( ( ! [SY2911: $i,SY2912: $i] :
~ ( c_List_Olist__all2 @ SY2911 @ ( c_List_Olist_ONil @ SY2912 ) @ SV222 @ SY2912 @ SV621 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2166]) ).
thf(2573,plain,
! [SV956: $i,SV622: $i,SV224: $i] :
( ( ( c_List_Olist_ONil @ SV224 )
!= ( c_List_Olist_OCons @ SV622 @ SV956 @ SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2167]) ).
thf(2574,plain,
! [SV957: $i,SV623: $i,SV225: $i] :
( ( ( ( c_List_Oappend @ SV225 @ SV623 @ SV957 )
!= ( c_List_Olist_ONil @ SV957 ) )
| ( SV623
= ( c_List_Olist_ONil @ SV957 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2168]) ).
thf(2575,plain,
! [SV958: $i,SV624: $i,SV226: $i] :
( ( ( ( c_List_Oappend @ SV226 @ SV624 @ SV958 )
!= ( c_List_Olist_ONil @ SV958 ) )
| ( SV226
= ( c_List_Olist_ONil @ SV958 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2169]) ).
thf(2576,plain,
! [SV959: $i,SV625: $i,SV227: $i] :
( ( ( ( c_List_Olist_ONil @ SV227 )
!= ( c_List_Oappend @ SV625 @ SV959 @ SV227 ) )
| ( SV959
= ( c_List_Olist_ONil @ SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2170]) ).
thf(2577,plain,
! [SV626: $i,SV228: $i] :
( ( ( ! [SY2917: $i] :
( ( c_List_Olist_ONil @ SV228 )
!= ( c_List_Oappend @ SV626 @ SY2917 @ SV228 ) ) )
= $true )
| ( ( SV626
= ( c_List_Olist_ONil @ SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2171]) ).
thf(2578,plain,
! [SV627: $i,SV229: $i] :
( ( ( ! [SY2918: $i,SY2919: $i] :
( ( c_List_Ofilter @ SV229 @ ( c_List_Olist_OCons @ SV627 @ SY2918 @ SY2919 ) @ SY2919 )
= ( c_List_Olist_OCons @ SV627 @ ( c_List_Ofilter @ SV229 @ SY2918 @ SY2919 ) @ SY2919 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV229 @ SV627 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2172]) ).
thf(2579,plain,
! [SV960: $i,SV628: $i,SV230: $i] :
( ( ( c_List_Olistsp @ SV230 @ SV628 @ SV960 )
| ! [SY3361: $i] :
~ ( c_List_Olistsp @ SV230 @ ( c_List_Oappend @ SV628 @ SY3361 @ SV960 ) @ SV960 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2173]) ).
thf(2580,plain,
! [SV961: $i,SV629: $i,SV231: $i] :
( ( ( c_List_Olistsp @ SV231 @ SV629 @ SV961 )
| ! [SY3362: $i] :
~ ( c_List_Olistsp @ SV231 @ ( c_List_Oappend @ SY3362 @ SV629 @ SV961 ) @ SV961 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2174]) ).
thf(2581,plain,
! [SV962: $i,SV630: $i,SV232: $i] :
( ( ! [SY3363: $i] :
( ! [SY3364: $i] :
( ( c_List_Oreplicate @ SV232 @ SV630 @ SV962 )
!= ( c_List_Oreplicate @ SY3363 @ SY3364 @ SV962 ) )
| ( SV232 = SY3363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2175]) ).
thf(2582,plain,
! [SV963: $i,SV631: $i,SV233: $i] :
( ( ! [SY3365: $i] :
( ( ( c_List_Oappend @ SV233 @ SV631 @ SV963 )
!= ( c_List_Oappend @ SY3365 @ SV631 @ SV963 ) )
| ( SV233 = SY3365 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2176]) ).
thf(2583,plain,
! [SV964: $i,SV632: $i,SV234: $i] :
( ( ! [SY3366: $i] :
( ( ( c_List_Oappend @ SV234 @ SV632 @ SV964 )
!= ( c_List_Oappend @ SV234 @ SY3366 @ SV964 ) )
| ( SV632 = SY3366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2584,plain,
! [SV235: $i] :
( ( ( class_Orderings_Olinorder @ SV235 )
= $false )
| ( ( ! [SY2106: $i,SY2107: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SY2106 @ SY2107 @ SV235 ) @ SV235 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2107 @ SV235 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2178]) ).
thf(2585,plain,
! [SV965: $i,SV633: $i,SV236: $i] :
( ( ! [SY3367: $i] :
( ! [SY3368: $i] :
( ( c_List_Ofilter @ SV236 @ SV633 @ SV965 )
!= ( c_List_Olist_OCons @ SY3367 @ SY3368 @ SV965 ) )
| ( hBOOL @ ( hAPP @ SV236 @ SY3367 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2179]) ).
thf(2586,plain,
! [SV966: $i,SV634: $i,SV237: $i] :
( ( ! [SY3369: $i,SY3370: $i] :
( ( c_List_Olist__all2 @ SV237 @ SV634 @ SV966 @ SY3369 @ SY3370 )
| ! [SY3371: $i,SY3372: $i] :
~ ( c_List_Olist__all2 @ SV237 @ ( c_List_Olist_OCons @ SY3371 @ SV634 @ SY3369 ) @ ( c_List_Olist_OCons @ SY3372 @ SV966 @ SY3370 ) @ SY3369 @ SY3370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2180]) ).
thf(2587,plain,
! [SV967: $i,SV635: $i,SV238: $i] :
( ( ! [SY3373: $i,SY3374: $i] :
( ( c_List_Orotate @ SV238 @ ( c_List_Omap @ SV635 @ SV967 @ SY3373 @ SY3374 ) @ SY3374 )
= ( c_List_Omap @ SV635 @ ( c_List_Orotate @ SV238 @ SV967 @ SY3373 ) @ SY3373 @ SY3374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2181]) ).
thf(2588,plain,
! [SV636: $i,SV239: $i] :
( ( ( c_List_Odistinct @ SV239 @ SV636 )
= $true )
| ( ( ! [SY2942: $i] :
~ ( c_List_Odistinct @ ( c_List_Oappend @ SV239 @ SY2942 @ SV636 ) @ SV636 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2182]) ).
thf(2589,plain,
! [SV637: $i,SV240: $i] :
( ( ( c_List_Odistinct @ SV240 @ SV637 )
= $true )
| ( ( ! [SY2943: $i] :
~ ( c_List_Odistinct @ ( c_List_Oappend @ SY2943 @ SV240 @ SV637 ) @ SV637 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2183]) ).
thf(2590,plain,
! [SV638: $i,SV241: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV241 @ SV638 ) @ ( tc_List_Olist @ SV638 ) )
!= ( c_Nat_Osize__class_Osize @ SV241 @ ( tc_List_Olist @ SV638 ) ) )
= $true )
| ( ( ( c_List_Oremdups @ SV241 @ SV638 )
= SV241 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2184]) ).
thf(2591,plain,
! [SV639: $i,SV242: $i] :
( ( ( ( c_List_Oremdups @ SV242 @ SV639 )
!= SV242 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV242 @ SV639 ) @ ( tc_List_Olist @ SV639 ) )
= ( c_Nat_Osize__class_Osize @ SV242 @ ( tc_List_Olist @ SV639 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2185]) ).
thf(2592,plain,
! [SV968: $i,SV640: $i,SV243: $i] :
( ( SV243
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV243 @ ( tc_List_Olist @ SV640 ) ) @ ( c_List_Oappend @ SV243 @ SV968 @ SV640 ) @ SV640 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2186]) ).
thf(2593,plain,
! [SV969: $i,SV641: $i,SV244: $i] :
( ( ! [SY3375: $i] :
( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ SV244 @ SV641 @ SV969 @ SY3375 ) @ ( tc_List_Olist @ SY3375 ) )
= ( c_Nat_Osize__class_Osize @ SV641 @ ( tc_List_Olist @ SV969 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2187]) ).
thf(2594,plain,
! [SV970: $i,SV642: $i,SV245: $i] :
( ( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV245 @ SV642 @ SV970 ) @ SV970 )
| ~ ( c_List_Odistinct @ SV642 @ SV970 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2188]) ).
thf(2595,plain,
! [SV971: $i,SV643: $i,SV246: $i] :
( ( ! [SY3376: $i,SY3377: $i] :
( ( c_List_Omap @ SV246 @ ( c_List_Oreplicate @ SV643 @ SV971 @ SY3376 ) @ SY3376 @ SY3377 )
= ( c_List_Oreplicate @ SV643 @ ( hAPP @ SV246 @ SV971 ) @ SY3377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2189]) ).
thf(2596,plain,
! [SV972: $i,SV644: $i,SV247: $i] :
( ( ! [SY3378: $i,SY3379: $i,SY3380: $i] :
( ( c_List_Ofoldr @ SV247 @ ( c_List_Oappend @ SV644 @ SV972 @ SY3378 ) @ SY3379 @ SY3378 @ SY3380 )
= ( c_List_Ofoldr @ SV247 @ SV644 @ ( c_List_Ofoldr @ SV247 @ SV972 @ SY3379 @ SY3378 @ SY3380 ) @ SY3378 @ SY3380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2190]) ).
thf(2597,plain,
! [SV645: $i,SV248: $i] :
( ( ( ! [SY2955: $i,SY2956: $i] : ( c_List_Olist__ex @ SV248 @ ( c_List_Olist_OCons @ SV645 @ SY2955 @ SY2956 ) @ SY2956 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV248 @ SV645 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2191]) ).
thf(2598,plain,
! [SV973: $i,SV646: $i,SV249: $i] :
( ( ! [SY3381: $i] :
( ! [SY3382: $i] :
( ( c_List_OdropWhile @ SV249 @ SV646 @ SV973 )
!= ( c_List_Olist_OCons @ SY3381 @ SY3382 @ SV973 ) )
| ~ ( hBOOL @ ( hAPP @ SV249 @ SY3381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2192]) ).
thf(2599,plain,
! [SV974: $i,SV647: $i,SV250: $i] :
( ( ! [SY3383: $i,SY3384: $i,SY3385: $i,SY3386: $i] :
( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SV647 @ SV974 @ SY3383 ) @ ( c_List_Olist_OCons @ SY3384 @ SY3385 @ SY3386 ) @ SY3383 @ SY3386 )
| ~ ( c_List_Olist__all2 @ SV250 @ SV974 @ SY3385 @ SY3383 @ SY3386 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SV647 ) @ SY3384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2193]) ).
thf(2600,plain,
! [SV975: $i,SV648: $i,SV251: $i] :
( ( ! [SY3387: $i,SY3388: $i,SY3389: $i,SY3390: $i] :
( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SV648 @ SV975 @ SY3387 ) @ ( c_List_Olist_OCons @ SY3388 @ SY3389 @ SY3390 ) @ SY3387 @ SY3390 )
| ~ ( c_List_Olist__all2 @ SV251 @ SV975 @ SY3389 @ SY3387 @ SY3390 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SV648 ) @ SY3388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2601,plain,
! [SV976: $i,SV649: $i,SV252: $i] :
( ( ! [SY3391: $i,SY3392: $i,SY3393: $i,SY3394: $i] :
( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SV649 @ SV976 @ SY3391 ) @ ( c_List_Olist_OCons @ SY3392 @ SY3393 @ SY3394 ) @ SY3391 @ SY3394 )
| ~ ( c_List_Olist__all2 @ SV252 @ SV976 @ SY3393 @ SY3391 @ SY3394 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SV649 ) @ SY3392 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2195]) ).
thf(2602,plain,
! [SV977: $i,SV650: $i,SV253: $i] :
( ( ! [SY3395: $i] :
( ( c_List_Olist__ex @ SV253 @ ( c_List_Olist_OCons @ SV650 @ SV977 @ SY3395 ) @ SY3395 )
| ~ ( c_List_Olist__ex @ SV253 @ SV977 @ SY3395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2196]) ).
thf(2603,plain,
! [SV978: $i,SV651: $i,SV254: $i] :
( ( ( c_List_Olist__ex @ SV254 @ SV651 @ SV978 )
| ! [SY3396: $i] :
( ( hBOOL @ ( hAPP @ SV254 @ SY3396 ) )
| ~ ( c_List_Olist__ex @ SV254 @ ( c_List_Olist_OCons @ SY3396 @ SV651 @ SV978 ) @ SV978 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2197]) ).
thf(2604,plain,
! [SV979: $i,SV652: $i,SV255: $i] :
( ( ! [SY3397: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV255 @ ( tc_List_Olist @ SV652 ) )
= ( c_Nat_Osize__class_Osize @ SV979 @ ( tc_List_Olist @ SY3397 ) ) )
| ! [SY3398: $i] :
~ ( c_List_Olist__all2 @ SY3398 @ SV255 @ SV979 @ SV652 @ SY3397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2605,plain,
! [SV980: $i,SV653: $i,SV256: $i] :
( ( ! [SY3399: $i] :
( ( c_List_Ofilter @ SV256 @ ( c_List_Oreplicate @ SV653 @ SV980 @ SY3399 ) @ SY3399 )
= ( c_List_Oreplicate @ SV653 @ SV980 @ SY3399 ) )
| ~ ( hBOOL @ ( hAPP @ SV256 @ SV980 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2199]) ).
thf(2606,plain,
! [SV981: $i,SV654: $i,SV257: $i] :
( ( ! [SY3400: $i,SY3401: $i,SY3402: $i] :
( ( c_List_Olistrelp @ SV257 @ ( c_List_Olist_OCons @ SV654 @ SV981 @ SY3400 ) @ ( c_List_Olist_OCons @ SY3401 @ SY3402 @ SY3400 ) @ SY3400 )
| ~ ( c_List_Olistrelp @ SV257 @ SV981 @ SY3402 @ SY3400 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV257 @ SV654 ) @ SY3401 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2200]) ).
thf(2607,plain,
! [SV655: $i,SV258: $i] :
( ( ( ! [SY2988: $i,SY2989: $i] :
( ( c_List_Oremove1 @ SV258 @ ( c_List_Olist_OCons @ SV655 @ SY2988 @ SY2989 ) @ SY2989 )
= ( c_List_Olist_OCons @ SV655 @ ( c_List_Oremove1 @ SV258 @ SY2988 @ SY2989 ) @ SY2989 ) ) )
= $true )
| ( ( SV258 = SV655 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2201]) ).
thf(2608,plain,
! [SV982: $i,SV656: $i,SV259: $i] :
( ( ( c_List_Odistinct @ ( c_List_Osublist @ SV259 @ SV656 @ SV982 ) @ SV982 )
| ~ ( c_List_Odistinct @ SV259 @ SV982 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2202]) ).
thf(2609,plain,
! [SV983: $i,SV657: $i,SV260: $i] :
( ( ! [SY3403: $i,SY3404: $i] :
( ( ( c_List_Omap @ SV260 @ SV657 @ SV983 @ SY3403 )
!= ( c_List_Omap @ SV260 @ SY3404 @ SV983 @ SY3403 ) )
| ( ( c_Nat_Osize__class_Osize @ SV657 @ ( tc_List_Olist @ SV983 ) )
= ( c_Nat_Osize__class_Osize @ SY3404 @ ( tc_List_Olist @ SV983 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2203]) ).
thf(2610,plain,
! [SV984: $i,SV658: $i,SV261: $i] :
( ( ! [SY3405: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV261 @ ( tc_List_Olist @ SV658 ) )
!= ( c_Nat_Osize__class_Osize @ SV984 @ ( tc_List_Olist @ SY3405 ) ) )
| ! [SY3406: $i,SY3407: $i] :
( ( c_Map_Omap__upds @ SY3406 @ ( c_List_Oappend @ SV261 @ SY3407 @ SV658 ) @ SV984 @ SV658 @ SY3405 )
= ( c_Map_Omap__upds @ SY3406 @ SV261 @ SV984 @ SV658 @ SY3405 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2204]) ).
thf(2611,plain,
! [SV985: $i,SV659: $i,SV262: $i] :
( ( ! [SY3408: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV262 @ ( tc_List_Olist @ SV659 ) )
!= ( c_Nat_Osize__class_Osize @ SV985 @ ( tc_List_Olist @ SY3408 ) ) )
| ! [SY3409: $i,SY3410: $i] :
( ( c_Map_Omap__upds @ SY3409 @ SV262 @ ( c_List_Oappend @ SV985 @ SY3410 @ SY3408 ) @ SV659 @ SY3408 )
= ( c_Map_Omap__upds @ SY3409 @ SV262 @ SV985 @ SV659 @ SY3408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2612,plain,
! [SV986: $i,SV660: $i,SV263: $i] :
( ( ( SV263
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV263 @ ( tc_List_Olist @ SV660 ) ) @ SV986 @ SV660 ) )
| ( ( c_List_Oappend @ SV263 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV263 @ ( tc_List_Olist @ SV660 ) ) @ SV986 @ SV660 ) @ SV660 )
= SV986 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2206]) ).
thf(2613,plain,
! [SV987: $i,SV661: $i,SV264: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV264 @ SV661 @ SV987 ) @ SV987 )
| ~ ( c_List_Odistinct @ SV661 @ SV987 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2207]) ).
thf(2614,plain,
! [SV988: $i,SV662: $i,SV265: $i] :
( ( ! [SY3411: $i] :
( ( ( c_Event_Oevent_OGets @ SV265 @ SV662 )
!= ( c_Event_Oevent_OGets @ SV988 @ SY3411 ) )
| ( SV662 = SY3411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2208]) ).
thf(2615,plain,
! [SV989: $i,SV663: $i,SV266: $i] :
( ( ! [SY3412: $i] :
( ( c_Event_Oevent_OGets @ SV266 @ SV663 )
!= ( c_Event_Oevent_OGets @ SV989 @ SY3412 ) )
| ( SV266 = SV989 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2209]) ).
thf(2616,plain,
! [SV990: $i,SV664: $i,SV267: $i] :
( ( ! [SY3413: $i,SY3414: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SV664 ) )
!= ( c_Nat_Osize__class_Osize @ SV990 @ ( tc_List_Olist @ SY3413 ) ) )
| ( c_List_Olist__all2 @ SY3414 @ SV267 @ SV990 @ SV664 @ SY3413 )
| ! [SY3415: $i,SY3416: $i] :
~ ( c_List_Olist__all2 @ SY3414 @ ( c_List_Oappend @ SV267 @ SY3415 @ SV664 ) @ ( c_List_Oappend @ SV990 @ SY3416 @ SY3413 ) @ SV664 @ SY3413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2210]) ).
thf(2617,plain,
! [SV991: $i,SV665: $i,SV268: $i] :
( ( ! [SY3417: $i,SY3418: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SV665 ) )
!= ( c_Nat_Osize__class_Osize @ SV991 @ ( tc_List_Olist @ SY3417 ) ) )
| ! [SY3419: $i,SY3420: $i] :
( ( c_List_Olist__all2 @ SY3418 @ SY3419 @ SY3420 @ SV665 @ SY3417 )
| ~ ( c_List_Olist__all2 @ SY3418 @ ( c_List_Oappend @ SV268 @ SY3419 @ SV665 ) @ ( c_List_Oappend @ SV991 @ SY3420 @ SY3417 ) @ SV665 @ SY3417 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2211]) ).
thf(2618,plain,
! [SV666: $i,SV269: $i] :
( ( ( ! [SY3018: $i,SY3019: $i] :
( ( c_List_OdropWhile @ SV269 @ ( c_List_Olist_OCons @ SV666 @ SY3018 @ SY3019 ) @ SY3019 )
= ( c_List_OdropWhile @ SV269 @ SY3018 @ SY3019 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV269 @ SV666 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2212]) ).
thf(2619,plain,
! [SV992: $i,SV667: $i,SV270: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Orotate @ SV270 @ SV667 @ SV992 ) @ ( tc_List_Olist @ SV992 ) )
= ( c_Nat_Osize__class_Osize @ SV667 @ ( tc_List_Olist @ SV992 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2213]) ).
thf(2620,plain,
! [SV993: $i,SV669: $i,SV272: $i] :
( ( ( ( c_List_Olast @ ( c_List_Oappend @ SV272 @ SV669 @ SV993 ) @ SV993 )
= ( c_List_Olast @ SV669 @ SV993 ) )
| ( SV669
= ( c_List_Olist_ONil @ SV993 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2215]) ).
thf(2621,plain,
! [SV670: $i,SV273: $i] :
( ( ( ! [SY3022: $i,SY3023: $i] :
( ( c_List_OdropWhile @ SV273 @ ( c_List_Olist_OCons @ SV670 @ SY3022 @ SY3023 ) @ SY3023 )
= ( c_List_Olist_OCons @ SV670 @ SY3022 @ SY3023 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV273 @ SV670 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2216]) ).
thf(2622,plain,
! [SV994: $i,SV671: $i,SV274: $i] :
( ( ! [SY3421: $i,SY3422: $i] :
( ( c_List_Omap @ SV274 @ ( c_List_Oappend @ SV671 @ SV994 @ SY3421 ) @ SY3421 @ SY3422 )
= ( c_List_Oappend @ ( c_List_Omap @ SV274 @ SV671 @ SY3421 @ SY3422 ) @ ( c_List_Omap @ SV274 @ SV994 @ SY3421 @ SY3422 ) @ SY3422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2217]) ).
thf(2623,plain,
! [SV672: $i,SV275: $i] :
( ( ( ! [SY3027: $i,SY3028: $i] :
~ ( hBOOL @ ( hAPP @ SV275 @ ( c_Message_Oagent_Oagent__case @ SV672 @ SY3027 @ SY3028 @ c_Message_Oagent_OServer @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV275 @ SV672 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2218]) ).
thf(2624,plain,
! [SV995: $i,SV673: $i,SV276: $i] :
( ( ! [SY3423: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV276 @ SV673 @ SV995 ) @ ( c_List_Oreplicate @ SY3423 @ SV673 @ SV995 ) @ SV995 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SY3423 @ SV673 @ SV995 ) @ ( c_List_Oreplicate @ SV276 @ SV673 @ SV995 ) @ SV995 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2219]) ).
thf(2625,plain,
! [SV996: $i,SV674: $i,SV277: $i] :
( ( ! [SY3424: $i,SY3425: $i,SY3426: $i] :
( ( c_List_Olist__all2 @ SV277 @ ( c_List_Odrop @ SV674 @ SV996 @ SY3424 ) @ ( c_List_Odrop @ SV674 @ SY3425 @ SY3426 ) @ SY3424 @ SY3426 )
| ~ ( c_List_Olist__all2 @ SV277 @ SV996 @ SY3425 @ SY3424 @ SY3426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2220]) ).
thf(2626,plain,
! [SV676: $i,SV279: $i] :
( ( ( ! [SY3035: $i,SY3036: $i] :
( ( c_List_Oremove1 @ SV279 @ ( c_List_Ofilter @ SV676 @ SY3035 @ SY3036 ) @ SY3036 )
= ( c_List_Ofilter @ SV676 @ SY3035 @ SY3036 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV676 @ SV279 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2222]) ).
thf(2627,plain,
! [SV997: $i,SV677: $i,SV280: $i] :
( ( ! [SY3427: $i] :
( ( c_List_Ofilter @ SV280 @ ( c_List_Oreplicate @ SV677 @ SV997 @ SY3427 ) @ SY3427 )
= ( c_List_Olist_ONil @ SY3427 ) )
| ( hBOOL @ ( hAPP @ SV280 @ SV997 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2223]) ).
thf(2628,plain,
! [SV998: $i,SV678: $i,SV281: $i] :
( ( ! [SY3428: $i,SY3429: $i,SY3430: $i] :
( ( c_List_Olist_Olist__rec @ SV281 @ SV678 @ ( c_List_Olist_OCons @ SV998 @ SY3428 @ SY3429 ) @ SY3430 @ SY3429 )
= ( hAPP @ ( hAPP @ ( hAPP @ SV678 @ SV998 ) @ SY3428 ) @ ( c_List_Olist_Olist__rec @ SV281 @ SV678 @ SY3428 @ SY3430 @ SY3429 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2224]) ).
thf(2629,plain,
! [SV999: $i,SV679: $i,SV282: $i] :
( ( ( c_List_Oset @ ( c_List_Orotate @ SV282 @ SV679 @ SV999 ) @ SV999 )
= ( c_List_Oset @ SV679 @ SV999 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2225]) ).
thf(2630,plain,
! [SV680: $i,SV283: $i] :
( ( ( c_List_Odistinct @ SV283 @ SV680 )
= $true )
| ( ( ! [SY3044: $i,SY3045: $i] :
~ ( c_List_Odistinct @ ( c_List_Omap @ SY3044 @ SV283 @ SV680 @ SY3045 ) @ SY3045 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2226]) ).
thf(2631,plain,
! [SV683: $i,SV286: $i] :
( ( ( c_List_Odistinct @ SV286 @ SV683 )
= $true )
| ( ( ! [SY3046: $i] :
~ ( c_List_Odistinct @ ( c_List_Orotate @ SY3046 @ SV286 @ SV683 ) @ SV683 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2229]) ).
thf(2632,plain,
! [SV1000: $i,SV684: $i,SV287: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate @ SV287 @ SV684 @ SV1000 ) @ SV1000 )
| ~ ( c_List_Odistinct @ SV684 @ SV1000 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2230]) ).
thf(2633,plain,
! [SV1001: $i,SV685: $i,SV288: $i] :
( ( ! [SY3431: $i] :
( ( c_List_Olistsp @ SV288 @ ( c_List_Oappend @ SV685 @ SV1001 @ SY3431 ) @ SY3431 )
| ~ ( c_List_Olistsp @ SV288 @ SV1001 @ SY3431 )
| ~ ( c_List_Olistsp @ SV288 @ SV685 @ SY3431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2231]) ).
thf(2634,plain,
! [SV1002: $i,SV686: $i,SV289: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oreplicate @ SV289 @ SV686 @ SV1002 ) @ ( tc_List_Olist @ SV1002 ) )
= SV289 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2232]) ).
thf(2635,plain,
! [SV1003: $i,SV687: $i,SV290: $i] :
( ( ! [SY3432: $i,SY3433: $i] :
( ~ ( hBOOL @ ( hAPP @ SV290 @ ( c_Message_Oagent_Oagent__case @ SV687 @ SV1003 @ SY3432 @ ( c_Message_Oagent_OFriend @ SY3433 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV290 @ ( hAPP @ SV1003 @ SY3433 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2233]) ).
thf(2636,plain,
! [SV1004: $i,SV688: $i,SV291: $i] :
( ( ! [SY3434: $i,SY3435: $i] :
( ~ ( hBOOL @ ( hAPP @ SV291 @ ( c_Message_Oagent_Oagent__case @ SV688 @ SV1004 @ SY3434 @ ( c_Message_Oagent_OFriend @ SY3435 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV291 @ ( hAPP @ SV1004 @ SY3435 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2234]) ).
thf(2637,plain,
! [SV1005: $i,SV689: $i,SV292: $i] :
( ( ~ ( c_List_Onull @ ( c_List_Olist_OCons @ SV292 @ SV689 @ SV1005 ) @ SV1005 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2235]) ).
thf(2638,plain,
! [SV1006: $i,SV690: $i,SV293: $i] :
( ( ! [SY3436: $i,SY3437: $i,SY3438: $i] :
( ( c_List_Ofoldr @ SV293 @ ( c_List_Olist_OCons @ SV690 @ SV1006 @ SY3436 ) @ SY3437 @ SY3436 @ SY3438 )
= ( hAPP @ ( hAPP @ SV293 @ SV690 ) @ ( c_List_Ofoldr @ SV293 @ SV1006 @ SY3437 @ SY3436 @ SY3438 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2236]) ).
thf(2639,plain,
! [SV1007: $i,SV691: $i,SV294: $i] :
( ( ( c_List_Olast @ ( c_List_Oappend @ SV294 @ ( c_List_Olist_OCons @ SV691 @ ( c_List_Olist_ONil @ SV1007 ) @ SV1007 ) @ SV1007 ) @ SV1007 )
= SV691 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2237]) ).
thf(2640,plain,
! [SV1008: $i,SV692: $i,SV295: $i] :
( ( ! [SY3439: $i,SY3440: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV295 @ SV692 @ SV1008 @ ( c_Message_Oagent_OFriend @ SY3439 ) @ SY3440 )
= ( hAPP @ SV692 @ SY3439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2238]) ).
thf(2641,plain,
! [SV1009: $i,SV693: $i,SV296: $i] :
( ( ! [SY3441: $i,SY3442: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ SV296 @ ( c_List_Olist_OCons @ SV693 @ SV1009 @ SY3441 ) @ SY3441 ) @ ( c_Nat_Osize__class_Osize @ SV296 @ ( tc_List_Olist @ SY3441 ) ) @ SY3442 @ SY3441 )
= ( c_List_Oappend @ SV296 @ ( c_List_Olist_OCons @ SY3442 @ SV1009 @ SY3441 ) @ SY3441 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2239]) ).
thf(2642,plain,
! [SV1010: $i,SV694: $i,SV297: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_ONil @ SV297 ) @ ( c_List_Olist_OCons @ SV694 @ SV1010 @ SV297 ) @ SV297 )
= ( c_List_Olist_OCons @ SV694 @ SV1010 @ SV297 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2643,plain,
! [SV1011: $i,SV696: $i,SV299: $i] :
( ( ! [SY3443: $i] :
( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SY3443 @ SV696 ) @ SV696 )
!= SY3443 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 )
!= SV299 )
| ( SV1011
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) )
| ( ( c_List_Oappend @ SV1011 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SY3443 @ SV696 ) @ SV696 )
= ( c_List_Oappend @ SV299 @ SY3443 @ SV696 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2644,plain,
! [SV1012: $i,SV697: $i,SV300: $i] :
( ( ! [SY3444: $i] :
( ! [SY3445: $i] :
( ( c_List_Olist_OCons @ SV300 @ SV697 @ SV1012 )
!= ( c_List_Olist_OCons @ SY3444 @ SY3445 @ SV1012 ) )
| ( SV300 = SY3444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2243]) ).
thf(2645,plain,
! [SV1013: $i,SV698: $i,SV301: $i] :
( ( ! [SY3446: $i,SY3447: $i] :
( ( ( c_List_Olist_OCons @ SV301 @ SV698 @ SV1013 )
!= ( c_List_Olist_OCons @ SY3446 @ SY3447 @ SV1013 ) )
| ( SV698 = SY3447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2244]) ).
thf(2646,plain,
! [SV302: $i] :
( ( ( class_Orderings_Olinorder @ SV302 )
= $false )
| ( ( ! [SY2321: $i] :
( ( c_List_Olinorder__class_Osorted @ SY2321 @ SV302 )
| ! [SY2322: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2321 @ SY2322 @ SV302 ) @ SV302 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2245]) ).
thf(2647,plain,
! [SV303: $i] :
( ( ( class_Orderings_Olinorder @ SV303 )
= $false )
| ( ( ! [SY2323: $i] :
( ( c_List_Olinorder__class_Osorted @ SY2323 @ SV303 )
| ! [SY2324: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY2324 @ SY2323 @ SV303 ) @ SV303 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2246]) ).
thf(2648,plain,
! [SV1014: $i,SV699: $i,SV304: $i] :
( ( ! [SY3448: $i] :
( ( c_List_Olist__all @ SV304 @ ( c_List_Olist_OCons @ SV699 @ SV1014 @ SY3448 ) @ SY3448 )
| ~ ( c_List_Olist__all @ SV304 @ SV1014 @ SY3448 )
| ~ ( hBOOL @ ( hAPP @ SV304 @ SV699 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2247]) ).
thf(2649,plain,
! [SV1015: $i,SV700: $i,SV305: $i] :
( ( ! [SY3449: $i,SY3450: $i] :
( ! [SY3451: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SV700 @ SV1015 @ SY3449 ) @ SY3450 @ SY3451 @ SY3449 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SY3450 @ SY3451 @ SY3449 ) @ SV700 @ SV1015 @ SY3449 ) )
| ( SV700 = SY3450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2650,plain,
! [SV306: $i] :
( ( ( class_Orderings_Olinorder @ SV306 )
= $false )
| ( ( ! [SY2333: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SY2333 @ SV306 ) @ SV306 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2333 @ SV306 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2249]) ).
thf(2651,plain,
! [SV1016: $i,SV701: $i,SV307: $i] :
( ( ! [SY3452: $i] :
( ( c_List_Oappend @ ( c_List_Oreplicate @ SV307 @ SV701 @ SV1016 ) @ ( c_List_Olist_OCons @ SV701 @ SY3452 @ SV1016 ) @ SV1016 )
= ( c_List_Olist_OCons @ SV701 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV307 @ SV701 @ SV1016 ) @ SY3452 @ SV1016 ) @ SV1016 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2250]) ).
thf(2652,plain,
! [SV1017: $i,SV702: $i,SV308: $i] :
( ( ! [SY3453: $i,SY3454: $i] :
( ( c_List_Odrop @ SV308 @ ( c_List_Omap @ SV702 @ SV1017 @ SY3453 @ SY3454 ) @ SY3454 )
= ( c_List_Omap @ SV702 @ ( c_List_Odrop @ SV308 @ SV1017 @ SY3453 ) @ SY3453 @ SY3454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2653,plain,
! [SV1018: $i,SV704: $i,SV310: $i] :
( ( ! [SY3455: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV310 @ SV704 @ SV1018 @ c_Message_Oagent_OServer @ SY3455 )
= SV310 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2253]) ).
thf(2654,plain,
! [SV705: $i,SV311: $i] :
( ( ( ! [SY3091: $i,SY3092: $i] :
( ( c_List_Ofilter @ SV311 @ ( c_List_Olist_OCons @ SV705 @ SY3091 @ SY3092 ) @ SY3092 )
= ( c_List_Ofilter @ SV311 @ SY3091 @ SY3092 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV311 @ SV705 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2254]) ).
thf(2655,plain,
! [SV1019: $i,SV706: $i,SV312: $i] :
( ( ( c_List_Ohd @ ( c_List_Olist_OCons @ SV312 @ SV706 @ SV1019 ) @ SV1019 )
= SV312 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2255]) ).
thf(2656,plain,
! [SV1020: $i,SV708: $i,SV314: $i] :
( ( ! [SY3456: $i] :
( ! [SY3457: $i] :
( ( c_List_Oappend @ SV314 @ ( c_List_Olist_OCons @ SV708 @ ( c_List_Olist_ONil @ SV1020 ) @ SV1020 ) @ SV1020 )
!= ( c_List_Oappend @ SY3456 @ ( c_List_Olist_OCons @ SY3457 @ ( c_List_Olist_ONil @ SV1020 ) @ SV1020 ) @ SV1020 ) )
| ( SV314 = SY3456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2257]) ).
thf(2657,plain,
! [SV1021: $i,SV709: $i,SV315: $i] :
( ( ! [SY3458: $i,SY3459: $i] :
( ( ( c_List_Oappend @ SV315 @ ( c_List_Olist_OCons @ SV709 @ ( c_List_Olist_ONil @ SV1021 ) @ SV1021 ) @ SV1021 )
!= ( c_List_Oappend @ SY3458 @ ( c_List_Olist_OCons @ SY3459 @ ( c_List_Olist_ONil @ SV1021 ) @ SV1021 ) @ SV1021 ) )
| ( SV709 = SY3459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2258]) ).
thf(2658,plain,
! [SV1022: $i,SV710: $i,SV316: $i] :
( ( ( c_List_Olist__all @ SV316 @ SV710 @ SV1022 )
| ! [SY3460: $i] :
~ ( c_List_Olist__all @ SV316 @ ( c_List_Oappend @ SV710 @ SY3460 @ SV1022 ) @ SV1022 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2259]) ).
thf(2659,plain,
! [SV1023: $i,SV711: $i,SV317: $i] :
( ( ( c_List_Olist__all @ SV317 @ SV711 @ SV1023 )
| ! [SY3461: $i] :
~ ( c_List_Olist__all @ SV317 @ ( c_List_Oappend @ SY3461 @ SV711 @ SV1023 ) @ SV1023 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2260]) ).
thf(2660,plain,
! [SV1024: $i,SV712: $i,SV318: $i] :
( ( ( c_List_Orotate1 @ ( c_List_Orotate @ SV318 @ SV712 @ SV1024 ) @ SV1024 )
= ( c_List_Orotate @ SV318 @ ( c_List_Orotate1 @ SV712 @ SV1024 ) @ SV1024 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2261]) ).
thf(2661,plain,
! [SV1025: $i,SV713: $i,SV319: $i] :
( ( ! [SY3462: $i,SY3463: $i] :
( ~ ( hBOOL @ ( hAPP @ SV319 @ ( c_List_Olist_Olist__case @ SV713 @ SV1025 @ ( c_List_Olist_OCons @ SY3462 @ SY3463 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV319 @ ( hAPP @ ( hAPP @ SV1025 @ SY3462 ) @ SY3463 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2662,plain,
! [SV1026: $i,SV714: $i,SV320: $i] :
( ( ! [SY3464: $i,SY3465: $i] :
( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_List_Olist_Olist__case @ SV714 @ SV1026 @ ( c_List_Olist_OCons @ SY3464 @ SY3465 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV320 @ ( hAPP @ ( hAPP @ SV1026 @ SY3464 ) @ SY3465 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2263]) ).
thf(2663,plain,
! [SV321: $i] :
( ( ( class_Orderings_Olinorder @ SV321 )
= $false )
| ( ( ! [SY2375: $i,SY2376: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SY2375 @ SY2376 @ SV321 ) @ SV321 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2376 @ SV321 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2264]) ).
thf(2664,plain,
! [SV1027: $i,SV715: $i,SV322: $i] :
( ( ! [SY3466: $i,SY3467: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV322 @ SV715 @ SV1027 @ SY3466 ) @ SV715 @ SY3467 @ SY3466 )
= ( c_List_Olist__update @ SV322 @ SV715 @ SY3467 @ SY3466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2265]) ).
thf(2665,plain,
! [SV1028: $i,SV716: $i,SV323: $i] :
( ( ! [SY3468: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV323 @ SV716 @ SV1028 ) @ SY3468 @ SV1028 )
= ( c_List_Oappend @ SV323 @ ( c_List_Oappend @ SV716 @ SY3468 @ SV1028 ) @ SV1028 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2266]) ).
thf(2666,plain,
! [SV1029: $i,SV717: $i,SV324: $i] :
( ( ! [SY3469: $i] :
( ( c_List_Oappend @ SV324 @ ( c_List_Oappend @ SV717 @ SV1029 @ SY3469 ) @ SY3469 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV324 @ SV717 @ SY3469 ) @ SV1029 @ SY3469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2667,plain,
! [SV1030: $i,SV718: $i,SV325: $i] :
( ( ! [SY3470: $i] :
( ( c_List_Oappend @ ( c_List_Oappend @ SV325 @ SV718 @ SV1030 ) @ SY3470 @ SV1030 )
= ( c_List_Oappend @ SV325 @ ( c_List_Oappend @ SV718 @ SY3470 @ SV1030 ) @ SV1030 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2268]) ).
thf(2668,plain,
! [SV1031: $i,SV719: $i,SV326: $i] :
( ( ! [SY3471: $i] :
( ( c_List_Oappend @ SV326 @ ( c_List_Oappend @ SV719 @ SV1031 @ SY3471 ) @ SY3471 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV326 @ SV719 @ SY3471 ) @ SV1031 @ SY3471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2269]) ).
thf(2669,plain,
! [SV328: $i] :
( ( ( class_Orderings_Olinorder @ SV328 )
= $false )
| ( ( ! [SY2394: $i,SY2395: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SY2394 @ SY2395 @ SV328 ) @ SV328 )
| ~ ( c_List_Olinorder__class_Osorted @ SY2395 @ SV328 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2670,plain,
! [SV1032: $i,SV721: $i,SV329: $i] :
( ( ! [SY3472: $i] :
( ( c_List_Ofoldl @ SV329 @ SV721 @ ( c_List_Olist_ONil @ SV1032 ) @ SY3472 @ SV1032 )
= SV721 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2272]) ).
thf(2671,plain,
! [SV1033: $i,SV330: $i] :
( ( ( hBOOL @ ( hAPP @ SV330 @ SV1033 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV330 @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV330 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV330 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2273]) ).
thf(2672,plain,
! [SV1034: $i,SV723: $i,SV333: $i] :
( ( ! [SY3473: $i] :
( ( ( c_List_Olist_ONil @ SV333 )
!= ( c_List_Omap @ SV723 @ SV1034 @ SY3473 @ SV333 ) )
| ( SV1034
= ( c_List_Olist_ONil @ SY3473 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2673,plain,
! [SV1035: $i,SV334: $i] :
( ( ( hBOOL @ ( hAPP @ SV334 @ SV1035 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV334 @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV334 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV334 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2276]) ).
thf(2674,plain,
! [SV731: $i,SV342: $i] :
( ( ( ( c_List_Orotate1 @ SV342 @ SV731 )
!= ( c_List_Olist_ONil @ SV731 ) )
= $true )
| ( ( SV342
= ( c_List_Olist_ONil @ SV731 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2284]) ).
thf(2675,plain,
! [SV1036: $i,SV343: $i] :
( ( ( hBOOL @ ( hAPP @ SV343 @ SV1036 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV343 @ ( v_sko__List__Xlast__Xinduct__2 @ SV343 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV343 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2285]) ).
thf(2676,plain,
! [SV1037: $i,SV345: $i] :
( ( ( hBOOL @ ( hAPP @ SV345 @ SV1037 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV345 @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV345 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV345 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2287]) ).
thf(2677,plain,
! [SV1038: $i,SV347: $i] :
( ( ( hBOOL @ ( hAPP @ SV347 @ SV1038 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV347 @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV347 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV347 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2289]) ).
thf(2678,plain,
! [SV1039: $i,SV348: $i] :
( ( ( hBOOL @ ( hAPP @ SV348 @ SV1039 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV348 @ ( v_sko__List__Xfoldl__Xinduct__2 @ SV348 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV348 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2290]) ).
thf(2679,plain,
! [SV735: $i,SV351: $i] :
( ( c_List_Olist__ex @ SV351 @ ( c_List_Olist_ONil @ SV735 ) @ SV735 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2292]) ).
thf(2680,plain,
! [SV736: $i,SV353: $i] :
( ( ( ! [SY3126: $i] :
~ ( hBOOL @ ( hAPP @ SV353 @ ( c_List_Olist_Olist__case @ SV736 @ SY3126 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV353 @ SV736 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2293]) ).
thf(2681,plain,
! [SV1040: $i,SV737: $i,SV354: $i] :
( ( ! [SY3474: $i] :
( ( c_List_Ofoldr @ SV354 @ ( c_List_Olist_ONil @ SV737 ) @ SV1040 @ SV737 @ SY3474 )
= SV1040 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2294]) ).
thf(2682,plain,
! [SV1041: $i,SV355: $i] :
( ( ( hBOOL @ ( hAPP @ SV355 @ SV1041 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV355 @ ( v_sko__List__Xzip__Xinduct__2 @ SV355 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV355 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2295]) ).
thf(2683,plain,
! [SV1042: $i,SV738: $i,SV356: $i] :
( ( ( c_List_Omap @ SV356 @ ( c_List_Olist_ONil @ SV738 ) @ SV738 @ SV1042 )
= ( c_List_Olist_ONil @ SV1042 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2296]) ).
thf(2684,plain,
! [SV1043: $i,SV358: $i] :
( ( ( hBOOL @ ( hAPP @ SV358 @ SV1043 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV358 @ ( v_sko__List__Xlistset__Xinduct__2 @ SV358 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV358 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2298]) ).
thf(2685,plain,
! [SV1044: $i,SV740: $i,SV359: $i] :
( ( ! [SY3475: $i] :
( ( c_List_Olist_Olist__rec @ SV359 @ SV740 @ ( c_List_Olist_ONil @ SV1044 ) @ SY3475 @ SV1044 )
= SV359 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2299]) ).
thf(2686,plain,
! [SV1045: $i,SV360: $i] :
( ( ( hBOOL @ ( hAPP @ SV360 @ SV1045 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV360 @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV360 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV360 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2300]) ).
thf(2687,plain,
! [SV1046: $i,SV361: $i] :
( ( ( hBOOL @ ( hAPP @ SV361 @ SV1046 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV361 @ ( v_sko__List__Xtake__Xinduct__2 @ SV361 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV361 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2301]) ).
thf(2688,plain,
! [SV362: $i] :
( ( ( class_Orderings_Olinorder @ SV362 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV362 ) @ SV362 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2689,plain,
! [SV1047: $i,SV741: $i,SV363: $i] :
( ( ( c_List_Ofiltermap @ SV363 @ ( c_List_Olist_ONil @ SV741 ) @ SV741 @ SV1047 )
= ( c_List_Olist_ONil @ SV1047 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2303]) ).
thf(2690,plain,
! [SV742: $i,SV364: $i] :
( ( ( ( c_List_Olist_ONil @ SV364 )
!= ( c_List_Oremdups @ SV742 @ SV364 ) )
= $true )
| ( ( SV742
= ( c_List_Olist_ONil @ SV364 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2304]) ).
thf(2691,plain,
! [SV1048: $i,SV744: $i,SV366: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV366 ) @ SV744 @ SV1048 @ SV366 )
= ( c_List_Olist_ONil @ SV366 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2306]) ).
thf(2692,plain,
! [SV1049: $i,SV745: $i,SV367: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV367 ) @ SV745 @ SV1049 @ SV367 )
= ( c_List_Olist_ONil @ SV367 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2307]) ).
thf(2693,plain,
! [SV1050: $i,SV746: $i,SV368: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist_ONil @ SV368 ) @ SV746 @ SV1050 @ SV368 )
= ( c_List_Olist_ONil @ SV368 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2308]) ).
thf(2694,plain,
! [SV1051: $i,SV369: $i] :
( ( ( hBOOL @ ( hAPP @ SV369 @ SV1051 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV369 @ ( v_sko__List__Xconcat__Xinduct__2 @ SV369 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV369 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2309]) ).
thf(2695,plain,
! [SV1052: $i,SV747: $i,SV370: $i] :
( ( ( c_List_Olist_OCons @ SV370 @ SV747 @ SV1052 )
!= ( c_List_Olist_ONil @ SV1052 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2310]) ).
thf(2696,plain,
! [SV1053: $i,SV748: $i,SV371: $i] :
( ( ( c_List_Olist_OCons @ SV371 @ SV748 @ SV1053 )
!= ( c_List_Olist_ONil @ SV1053 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2311]) ).
thf(2697,plain,
! [SV1054: $i,SV373: $i] :
( ( ( hBOOL @ ( hAPP @ SV373 @ SV1054 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV373 @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV373 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV373 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2313]) ).
thf(2698,plain,
! [SV1055: $i,SV750: $i,SV374: $i] :
( ( ! [SY3476: $i] :
( ( c_Map_Omap__upds @ SV374 @ SV750 @ ( c_List_Olist_ONil @ SV1055 ) @ SY3476 @ SV1055 )
= SV374 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2314]) ).
thf(2699,plain,
! [SV1056: $i,SV751: $i,SV375: $i] :
( ( ! [SY3477: $i] :
( ( c_Map_Omap__upds @ SV375 @ ( c_List_Olist_ONil @ SV751 ) @ SV1056 @ SV751 @ SY3477 )
= SV375 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2315]) ).
thf(2700,plain,
! [SV1057: $i,SV376: $i] :
( ( ( hBOOL @ ( hAPP @ SV376 @ SV1057 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV376 @ ( v_sko__List__Xremove1__Xinduct__2 @ SV376 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV376 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2316]) ).
thf(2701,plain,
! [SV1058: $i,SV752: $i,SV377: $i] :
( ( ! [SY3478: $i] :
( ( c_List_Olist_Olist__case @ SV377 @ SV752 @ ( c_List_Olist_ONil @ SV1058 ) @ SY3478 @ SV1058 )
= SV377 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2317]) ).
thf(2702,plain,
! [SV1059: $i,SV379: $i] :
( ( ( hBOOL @ ( hAPP @ SV379 @ SV1059 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV379 @ ( v_sko__List__Xlist__Xinduct__2 @ SV379 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV379 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2319]) ).
thf(2703,plain,
! [SV1060: $i,SV754: $i,SV380: $i] :
( ( ( c_List_Olist_ONil @ SV380 )
= ( c_List_Omap @ SV754 @ ( c_List_Olist_ONil @ SV1060 ) @ SV1060 @ SV380 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2320]) ).
thf(2704,plain,
! [SV1061: $i,SV383: $i] :
( ( ( hBOOL @ ( hAPP @ SV383 @ SV1061 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV383 @ ( v_sko__List__Xmap__Xinduct__2 @ SV383 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV383 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2322]) ).
thf(2705,plain,
! [SV1062: $i,SV756: $i,SV384: $i] :
( ( ! [SY3479: $i] :
( ( ( c_List_Olist__update @ SV384 @ SV756 @ SV1062 @ SY3479 )
!= ( c_List_Olist_ONil @ SY3479 ) )
| ( SV384
= ( c_List_Olist_ONil @ SY3479 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2323]) ).
thf(2706,plain,
! [SV757: $i,SV385: $i] :
( ( ( ( c_List_Ohd @ ( hAPP @ ( c_List_Orev @ SV385 ) @ SV757 ) @ SV385 )
= ( c_List_Olast @ SV757 @ SV385 ) )
= $true )
| ( ( SV757
= ( c_List_Olist_ONil @ SV385 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2324]) ).
thf(2707,plain,
! [SV758: $i,SV386: $i] :
( ( ( ( c_List_Olast @ ( hAPP @ ( c_List_Orev @ SV386 ) @ SV758 ) @ SV386 )
= ( c_List_Ohd @ SV758 @ SV386 ) )
= $true )
| ( ( SV758
= ( c_List_Olist_ONil @ SV386 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2325]) ).
thf(2708,plain,
! [SV1063: $i,SV759: $i,SV387: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV387 ) @ ( c_List_Olist_OCons @ SV759 @ SV1063 @ SV387 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV387 ) @ SV1063 ) @ ( c_List_Olist_OCons @ SV759 @ ( c_List_Olist_ONil @ SV387 ) @ SV387 ) @ SV387 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2326]) ).
thf(2709,plain,
! [SV1064: $i,SV760: $i,SV388: $i] :
( ( ! [SY3480: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV388 ) @ SV760 )
!= ( c_List_Olist_OCons @ SV1064 @ SY3480 @ SV388 ) )
| ( SV760
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV388 ) @ SY3480 ) @ ( c_List_Olist_OCons @ SV1064 @ ( c_List_Olist_ONil @ SV388 ) @ SV388 ) @ SV388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2327]) ).
thf(2710,plain,
! [SV1065: $i,SV761: $i,SV389: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV389 ) @ ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV389 ) @ SV761 ) @ ( c_List_Olist_OCons @ SV1065 @ ( c_List_Olist_ONil @ SV389 ) @ SV389 ) @ SV389 ) )
= ( c_List_Olist_OCons @ SV1065 @ SV761 @ SV389 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2328]) ).
thf(2711,plain,
! [SV1066: $i,SV762: $i,SV390: $i] :
( ( ! [SY3481: $i] :
( ( c_Message_Oagent_Oagent__case @ SV390 @ SV762 @ SV1066 @ c_Message_Oagent_OSpy @ SY3481 )
= SV1066 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2329]) ).
thf(2712,plain,
! [SV1067: $i,SV763: $i,SV392: $i] :
( ( ! [SY3482: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV392 @ SV763 @ SV1067 @ c_Message_Oagent_OSpy @ SY3482 )
= SV1067 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2331]) ).
thf(2713,plain,
! [SV1068: $i,SV764: $i,SV393: $i] :
( ( ! [SY3483: $i] :
( ~ ( hBOOL @ ( hAPP @ SV393 @ ( c_Message_Oagent_Oagent__case @ SV764 @ SV1068 @ SY3483 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV393 @ SY3483 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2332]) ).
thf(2714,plain,
! [SV1069: $i,SV765: $i,SV395: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV395 @ SV765 ) @ SV1069 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1069 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2334]) ).
thf(2715,plain,
! [SV1070: $i,SV766: $i,SV396: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV396 ) @ ( c_List_Ofilter @ SV766 @ SV1070 @ SV396 ) )
= ( c_List_Ofilter @ SV766 @ ( hAPP @ ( c_List_Orev @ SV396 ) @ SV1070 ) @ SV396 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2335]) ).
thf(2716,plain,
! [SV1071: $i,SV768: $i,SV398: $i] :
( ( ( c_List_Olist__all @ SV398 @ ( hAPP @ ( c_List_Orev @ SV768 ) @ SV1071 ) @ SV768 )
| ~ ( c_List_Olist__all @ SV398 @ SV1071 @ SV768 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2337]) ).
thf(2717,plain,
! [SV1072: $i,SV769: $i,SV399: $i] :
( ( ( c_List_Olist__all @ SV399 @ SV769 @ SV1072 )
| ~ ( c_List_Olist__all @ SV399 @ ( hAPP @ ( c_List_Orev @ SV1072 ) @ SV769 ) @ SV1072 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2338]) ).
thf(2718,plain,
! [SV400: $i] :
( ( ( class_OrderedGroup_Ocomm__monoid__add @ SV400 )
= $false )
| ( ( ! [SY2499: $i] :
( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ SV400 ) @ SY2499 ) @ SV400 )
= ( c_List_Olistsum @ SY2499 @ SV400 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2339]) ).
thf(2719,plain,
! [SV1073: $i,SV771: $i,SV402: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV402 ) @ ( c_List_Oreplicate @ SV771 @ SV1073 @ SV402 ) )
= ( c_List_Oreplicate @ SV771 @ SV1073 @ SV402 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2341]) ).
thf(2720,plain,
! [SV1074: $i,SV772: $i,SV403: $i] :
( ( ! [SY3484: $i,SY3485: $i] :
( ( c_List_Olist__all2 @ SV403 @ ( hAPP @ ( c_List_Orev @ SV772 ) @ SV1074 ) @ ( hAPP @ ( c_List_Orev @ SY3484 ) @ SY3485 ) @ SV772 @ SY3484 )
| ~ ( c_List_Olist__all2 @ SV403 @ SV1074 @ SY3485 @ SV772 @ SY3484 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2342]) ).
thf(2721,plain,
! [SV1075: $i,SV773: $i,SV404: $i] :
( ( ! [SY3486: $i,SY3487: $i] :
( ( c_List_Olist__all2 @ SV404 @ SV773 @ SV1075 @ SY3486 @ SY3487 )
| ~ ( c_List_Olist__all2 @ SV404 @ ( hAPP @ ( c_List_Orev @ SY3486 ) @ SV773 ) @ ( hAPP @ ( c_List_Orev @ SY3487 ) @ SV1075 ) @ SY3486 @ SY3487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2343]) ).
thf(2722,plain,
! [SV1076: $i,SV774: $i,SV405: $i] :
( ( ! [SY3488: $i] :
( ( hAPP @ ( c_List_Orev @ SV405 ) @ ( c_List_Omap @ SV774 @ SV1076 @ SY3488 @ SV405 ) )
= ( c_List_Omap @ SV774 @ ( hAPP @ ( c_List_Orev @ SY3488 ) @ SV1076 ) @ SY3488 @ SV405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2344]) ).
thf(2723,plain,
! [SV776: $i,SV407: $i] :
( ( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV407 ) @ SV776 ) @ SV407 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV776 @ SV407 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2346]) ).
thf(2724,plain,
! [SV777: $i,SV408: $i] :
( ( ( c_List_Odistinct @ SV408 @ SV777 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV777 ) @ SV408 ) @ SV777 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2347]) ).
thf(2725,plain,
! [SV1077: $i,SV778: $i,SV409: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV409 ) @ ( c_List_Oappend @ SV778 @ SV1077 @ SV409 ) )
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV409 ) @ SV1077 ) @ ( hAPP @ ( c_List_Orev @ SV409 ) @ SV778 ) @ SV409 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2348]) ).
thf(2726,plain,
! [SV1078: $i,SV779: $i,SV410: $i] :
( ( ! [SY3489: $i,SY3490: $i] :
( ( c_List_Olist__all2 @ SV410 @ ( hAPP @ ( c_List_Orev @ SV779 ) @ SV1078 ) @ SY3489 @ SV779 @ SY3490 )
| ~ ( c_List_Olist__all2 @ SV410 @ SV1078 @ ( hAPP @ ( c_List_Orev @ SY3490 ) @ SY3489 ) @ SV779 @ SY3490 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2349]) ).
thf(2727,plain,
! [SV1079: $i,SV780: $i,SV411: $i] :
( ( ! [SY3491: $i,SY3492: $i] :
( ( c_List_Olist__all2 @ SV411 @ SV780 @ ( hAPP @ ( c_List_Orev @ SV1079 ) @ SY3491 ) @ SY3492 @ SV1079 )
| ~ ( c_List_Olist__all2 @ SV411 @ ( hAPP @ ( c_List_Orev @ SY3492 ) @ SV780 ) @ SY3491 @ SY3492 @ SV1079 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2350]) ).
thf(2728,plain,
! [SV1080: $i,SV781: $i,SV412: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV412 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV781 @ SV1080 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV412 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2351]) ).
thf(2729,plain,
! [SV1081: $i,SV782: $i,SV413: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV413 ) @ SV782 )
!= ( c_List_Olist_OCons @ SV1081 @ ( c_List_Olist_ONil @ SV413 ) @ SV413 ) )
| ( SV782
= ( c_List_Olist_OCons @ SV1081 @ ( c_List_Olist_ONil @ SV413 ) @ SV413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2352]) ).
thf(2730,plain,
! [SV1082: $i,SV783: $i,SV414: $i] :
( ( ( ( c_List_Olist_OCons @ SV414 @ ( c_List_Olist_ONil @ SV783 ) @ SV783 )
!= ( hAPP @ ( c_List_Orev @ SV783 ) @ SV1082 ) )
| ( SV1082
= ( c_List_Olist_OCons @ SV414 @ ( c_List_Olist_ONil @ SV783 ) @ SV783 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2353]) ).
thf(2731,plain,
! [SV786: $i,SV419: $i] :
( ( ( ( c_List_Olist_ONil @ SV419 )
!= ( hAPP @ ( c_List_Orev @ SV419 ) @ SV786 ) )
= $true )
| ( ( SV786
= ( c_List_Olist_ONil @ SV419 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2356]) ).
thf(2732,plain,
! [SV1083: $i,SV787: $i,SV420: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV420 ) @ SV787 )
!= ( hAPP @ ( c_List_Orev @ SV420 ) @ SV1083 ) )
| ( SV787 = SV1083 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2357]) ).
thf(2733,plain,
! [SV791: $i,SV424: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV424 ) @ SV791 )
!= ( c_List_Olist_ONil @ SV424 ) )
= $true )
| ( ( SV791
= ( c_List_Olist_ONil @ SV424 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2361]) ).
thf(2734,plain,
! [SV792: $i,SV426: $i] :
( ( ( class_Orderings_Opreorder @ ( tc_fun @ SV426 @ SV792 ) )
= $true )
| ( ( ~ ( class_Orderings_Opreorder @ SV792 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2362]) ).
thf(2735,plain,
! [SV793: $i,SV427: $i] :
( ( ( class_Orderings_Oorder @ ( tc_fun @ SV427 @ SV793 ) )
= $true )
| ( ( ~ ( class_Orderings_Oorder @ SV793 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2363]) ).
thf(2736,plain,
! [SV794: $i,SV428: $i] :
( ( ( class_HOL_Oord @ ( tc_fun @ SV428 @ SV794 ) )
= $true )
| ( ( ~ ( class_HOL_Oord @ SV794 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2364]) ).
thf(2737,plain,
! [SV796: $i,SV430: $i] :
( ( ( SV430 = SV796 )
= $true )
| ( ( ! [SY3181: $i] :
~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SY3181 ) @ SV430 ) @ SV796 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2366]) ).
thf(2738,plain,
! [SV1084: $i,SV797: $i,SV431: $i,SV1: $i] :
( ( ! [SY3493: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV1 @ SV431 ) @ ( c_Event_Oknows @ SV1 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV797 @ SV1084 @ SY3493 ) @ SV431 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2367]) ).
thf(2739,plain,
! [SV1085: $i,SV798: $i,SV432: $i,SV2: $i] :
( ( ! [SY3494: $i] :
( ( c_Event_Oevent_OGets @ SV2 @ SV432 )
!= ( c_Event_Oevent_OSays @ SV798 @ SV1085 @ SY3494 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2368]) ).
thf(2740,plain,
! [SV1086: $i,SV799: $i,SV433: $i,SV3: $i] :
( ( ! [SY3495: $i] :
( ( c_Event_Oevent_OSays @ SV3 @ SV433 @ SV799 )
!= ( c_Event_Oevent_OGets @ SV1086 @ SY3495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2369]) ).
thf(2741,plain,
! [SV1087: $i,SV800: $i,SV434: $i,SV4: $i] :
( ( ( c_Event_Oknows @ SV4 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV4 @ SV434 @ SV800 ) @ SV1087 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV800 @ ( c_Event_Oknows @ SV4 @ SV1087 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2370]) ).
thf(2742,plain,
! [SV1088: $i,SV801: $i,SV435: $i,SV5: $i] :
( ( ! [SY3496: $i,SY3497: $i] :
( ( ( c_Event_Oevent_OSays @ SV5 @ SV435 @ SV801 )
!= ( c_Event_Oevent_OSays @ SV1088 @ SY3496 @ SY3497 ) )
| ( SV801 = SY3497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2371]) ).
thf(2743,plain,
! [SV1089: $i,SV802: $i,SV436: $i,SV6: $i] :
( ( ! [SY3498: $i] :
( ! [SY3499: $i] :
( ( c_Event_Oevent_OSays @ SV6 @ SV436 @ SV802 )
!= ( c_Event_Oevent_OSays @ SV1089 @ SY3498 @ SY3499 ) )
| ( SV436 = SY3498 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2372]) ).
thf(2744,plain,
! [SV1090: $i,SV803: $i,SV437: $i,SV7: $i] :
( ( ! [SY3500: $i,SY3501: $i] :
( ( c_Event_Oevent_OSays @ SV7 @ SV437 @ SV803 )
!= ( c_Event_Oevent_OSays @ SV1090 @ SY3500 @ SY3501 ) )
| ( SV7 = SV1090 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2373]) ).
thf(2745,plain,
! [SV1091: $i,SV804: $i,SV438: $i,SV8: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV8 @ SV438 @ SV804 ) @ SV1091 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV804 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1091 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2374]) ).
thf(2746,plain,
! [SV1092: $i,SV805: $i,SV439: $i,SV9: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV9 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV439 @ SV805 @ SV1092 ) @ SV9 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2375]) ).
thf(2747,plain,
! [SV806: $i,SV440: $i,SV10: $i] :
( ( ( ( c_List_Odrop @ SV10 @ SV440 @ SV806 )
!= ( c_List_Olist_ONil @ SV806 ) )
= $true )
| ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV440 @ ( tc_List_Olist @ SV806 ) ) @ SV10 @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2376]) ).
thf(2748,plain,
! [SV807: $i,SV441: $i,SV11: $i] :
( ( ( ( c_List_Odrop @ SV11 @ SV441 @ SV807 )
= ( c_List_Olist_ONil @ SV807 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV441 @ ( tc_List_Olist @ SV807 ) ) @ SV11 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2377]) ).
thf(2749,plain,
! [SV1093: $i,SV808: $i,SV442: $i,SV12: $i] :
( ( ! [SY3502: $i] :
( ( c_List_Oappend @ SV12 @ SV442 @ SV808 )
!= ( c_List_Oappend @ SV1093 @ SY3502 @ SV808 ) )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV808 ) ) @ SV12 @ SV808 )
= SV1093 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV12 @ ( tc_List_Olist @ SV808 ) ) @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV808 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2378]) ).
thf(2750,plain,
! [SV1094: $i,SV809: $i,SV443: $i,SV13: $i] :
( ( ( c_List_Otake @ SV13 @ ( c_List_Oappend @ SV443 @ SV809 @ SV1094 ) @ SV1094 )
= ( c_List_Oappend @ ( c_List_Otake @ SV13 @ SV443 @ SV1094 ) @ ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV13 @ ( c_Nat_Osize__class_Osize @ SV443 @ ( tc_List_Olist @ SV1094 ) ) @ tc_nat ) @ SV809 @ SV1094 ) @ SV1094 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2379]) ).
thf(2751,plain,
! [SV1095: $i,SV810: $i,SV444: $i,SV14: $i] :
( ( ! [SY3503: $i] :
( ( c_List_Oappend @ SV14 @ SV444 @ SV810 )
!= ( c_List_Oappend @ SV1095 @ SY3503 @ SV810 ) )
| ( SV14
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ SV1095 @ SV810 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1095 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2380]) ).
thf(2752,plain,
! [SV1096: $i,SV811: $i,SV445: $i,SV15: $i] :
( ( ! [SY3504: $i] :
( ( ( c_List_Oappend @ SV15 @ SV445 @ SV811 )
!= ( c_List_Oappend @ SV1096 @ SY3504 @ SV811 ) )
| ( SV445
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ SV1096 @ SV811 ) @ SY3504 @ SV811 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ ( c_Nat_Osize__class_Osize @ SV1096 @ ( tc_List_Olist @ SV811 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2381]) ).
thf(2753,plain,
! [SV1097: $i,SV812: $i,SV446: $i,SV16: $i] :
( ( ! [SY3505: $i] :
( ( ( c_List_Oappend @ SV16 @ SV446 @ SV812 )
!= ( c_List_Oappend @ SV1097 @ SY3505 @ SV812 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1097 @ ( tc_List_Olist @ SV812 ) ) @ SV16 @ SV812 ) @ SV446 @ SV812 )
= SY3505 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV16 @ ( tc_List_Olist @ SV812 ) ) @ ( c_Nat_Osize__class_Osize @ SV1097 @ ( tc_List_Olist @ SV812 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2382]) ).
thf(2754,plain,
! [SV1098: $i,SV813: $i,SV447: $i,SV17: $i] :
( ( ( c_List_Odrop @ SV17 @ ( c_List_Oappend @ SV447 @ SV813 @ SV1098 ) @ SV1098 )
= ( c_List_Oappend @ ( c_List_Odrop @ SV17 @ SV447 @ SV1098 ) @ ( c_List_Odrop @ ( c_HOL_Ominus__class_Ominus @ SV17 @ ( c_Nat_Osize__class_Osize @ SV447 @ ( tc_List_Olist @ SV1098 ) ) @ tc_nat ) @ SV813 @ SV1098 ) @ SV1098 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2383]) ).
thf(2755,plain,
! [SV1099: $i,SV814: $i,SV448: $i,SV18: $i] :
( ( ! [SY3506: $i] :
( ( hBOOL @ ( hAPP @ SV18 @ ( c_Message_Oagent_Oagent__case @ SV448 @ SV814 @ SV1099 @ SY3506 @ t_a ) ) )
| ( SY3506 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV18 @ ( hAPP @ SV814 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV18 @ SV814 @ SY3506 ) ) ) )
| ( SY3506 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2384]) ).
thf(2756,plain,
! [SV1100: $i,SV815: $i,SV449: $i,SV19: $i] :
( ( ! [SY3507: $i,SY3508: $i] :
( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) )
!= ( hAPP @ SV815 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) ) )
| ( SV449 = c_Message_Oagent_OServer )
| ! [SY3509: $i,SY3510: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3507 @ SV19 @ SY3508 @ SV449 @ SV1100 )
= ( c_Message_Oagent_Oagent__case @ SY3509 @ SV815 @ SY3510 @ SV449 @ SV1100 ) )
| ( SV449 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2385]) ).
thf(2757,plain,
! [SV1101: $i,SV816: $i,SV450: $i,SV20: $i] :
( ( ! [SY3511: $i] :
( ( hBOOL @ ( hAPP @ SV20 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV816 @ SV1101 @ SY3511 @ t_a ) ) )
| ( SY3511 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV816 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV20 @ SV816 @ SY3511 ) ) ) )
| ( SY3511 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2386]) ).
thf(2758,plain,
! [SV1102: $i,SV817: $i,SV451: $i,SV21: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV21 @ SV451 ) @ ( c_Event_Oknows @ SV21 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV817 @ SV1102 ) @ SV451 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2387]) ).
thf(2759,plain,
! [SV1103: $i,SV818: $i,SV452: $i,SV22: $i] :
( ( ! [SY3512: $i] :
( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV452 @ SV818 @ SV1103 @ SY3512 @ t_a ) ) )
| ( SY3512 = c_Message_Oagent_OSpy )
| ( SY3512
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV22 @ SV818 @ SY3512 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV452 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2388]) ).
thf(2760,plain,
! [SV1104: $i,SV819: $i,SV453: $i,SV23: $i] :
( ( ! [SY3513: $i,SY3514: $i] :
( ! [SY3515: $i] :
( ( c_Message_Oagent_Oagent__case @ SV23 @ SV453 @ SV819 @ SV1104 @ SY3513 )
= ( c_Message_Oagent_Oagent__case @ SV23 @ SY3514 @ SY3515 @ SV1104 @ SY3513 ) )
| ( SV1104 = c_Message_Oagent_OSpy )
| ( SV1104
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1104 @ SV453 @ SY3514 @ SY3513 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2389]) ).
thf(2761,plain,
! [SV1105: $i,SV820: $i,SV454: $i,SV24: $i] :
( ( ! [SY3516: $i] :
( ( hBOOL @ ( hAPP @ SV24 @ ( c_Message_Oagent_Oagent__case @ SV454 @ SV820 @ SV1105 @ SY3516 @ t_a ) ) )
| ( SY3516 = c_Message_Oagent_OSpy )
| ( SY3516
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV24 @ SV820 @ SY3516 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ SV454 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2390]) ).
thf(2762,plain,
! [SV1106: $i,SV821: $i,SV455: $i,SV25: $i] :
( ( ! [SY3517: $i] :
( ( hBOOL @ ( hAPP @ SV25 @ ( c_Message_Oagent_Oagent__case @ SV455 @ SV821 @ SV1106 @ SY3517 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV25 @ SV1106 ) )
| ( SY3517
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV25 @ SV821 @ SY3517 ) ) )
| ( SY3517 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2391]) ).
thf(2763,plain,
! [SV1107: $i,SV822: $i,SV456: $i,SV26: $i] :
( ( ! [SY3518: $i] :
( ( SV26
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV26 @ SV456 @ SV822 @ SV1107 ) ) )
| ( SV26 = c_Message_Oagent_OServer )
| ! [SY3519: $i,SY3520: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3518 @ SV456 @ SY3519 @ SV26 @ SV1107 )
= ( c_Message_Oagent_Oagent__case @ SY3520 @ SV822 @ SY3519 @ SV26 @ SV1107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2392]) ).
thf(2764,plain,
! [SV1108: $i,SV823: $i,SV457: $i,SV27: $i] :
( ( ! [SY3521: $i] :
( ( hBOOL @ ( hAPP @ SV27 @ ( c_Message_Oagent_Oagent__case @ SV457 @ SV823 @ SV1108 @ SY3521 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV27 @ SV1108 ) )
| ( SY3521
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV27 @ SV823 @ SY3521 ) ) )
| ( SY3521 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2393]) ).
thf(2765,plain,
! [SV1109: $i,SV824: $i,SV458: $i,SV28: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Oappend @ SV28 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV458 @ SV824 @ SV1109 ) @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1109 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV28 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2394]) ).
thf(2766,plain,
! [SV826: $i,SV460: $i,SV32: $i] :
( ( ( ~ ( class_HOL_Oord @ SV32 ) )
= $true )
| ( ( ! [SY3237: $i] :
( ( c_lessequals @ ( hAPP @ SV460 @ SV826 ) @ ( hAPP @ SY3237 @ SV826 ) @ SV32 )
| ! [SY2634: $i] :
~ ( c_lessequals @ SV460 @ SY3237 @ ( tc_fun @ SY2634 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2396]) ).
thf(2767,plain,
! [SV1110: $i,SV827: $i,SV461: $i,SV33: $i] :
( ( ( ( hAPP @ SV33 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SV1110 ) )
!= ( hAPP @ SV827 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SV1110 ) ) )
| ! [SY3522: $i,SY3523: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3522 @ SV33 @ SY3523 @ SV461 @ SV1110 )
= ( c_Message_Oagent_Oagent__case @ SY3522 @ SV827 @ SY3523 @ SV461 @ SV1110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2397]) ).
thf(2768,plain,
! [SV1111: $i,SV828: $i,SV462: $i,SV34: $i] :
( ( ! [SY3524: $i] :
( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SV462 @ SV828 @ SV1111 @ SY3524 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SV1111 ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV828 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SV828 @ SY3524 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SV462 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2398]) ).
thf(2769,plain,
! [SV35: $i,SV463: $i] :
( ( ( c_lessequals @ SV463 @ SV35 @ tc_nat )
= $false )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV35 @ ( c_HOL_Ominus__class_Ominus @ SV35 @ SV463 @ tc_nat ) @ tc_nat )
= SV463 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2399]) ).
thf(2770,plain,
! [SV465: $i,SV37: $i] :
( ( ( class_Divides_Oring__div @ SV37 )
= $false )
| ( ( ! [SY2643: $i,SY2644: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV465 @ SY2643 @ SV37 ) @ SY2644 @ SV37 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV465 @ SY2644 @ SV37 ) @ ( c_Divides_Odiv__class_Omod @ SY2643 @ SY2644 @ SV37 ) @ SV37 ) @ SY2644 @ SV37 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2401]) ).
thf(2771,plain,
! [SV1112: $i,SV830: $i,SV467: $i,SV39: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV39 @ SV467 @ SV830 ) @ SV1112 ) )
| ~ ( hBOOL @ ( hAPP @ SV467 @ SV1112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2402]) ).
thf(2772,plain,
! [SV832: $i,SV469: $i,SV41: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV41 @ SV469 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV832 @ SV469 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV41 @ SV832 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV469 @ SV832 @ tc_nat )
| ~ ( c_lessequals @ SV469 @ SV41 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2404]) ).
thf(2773,plain,
! [SV835: $i,SV473: $i,SV45: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV45 @ SV473 @ tc_nat )
!= ( c_HOL_Ominus__class_Ominus @ SV835 @ SV473 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV473 @ SV835 @ tc_nat )
| ~ ( c_lessequals @ SV473 @ SV45 @ tc_nat )
| ( SV45 = SV835 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2407]) ).
thf(2774,plain,
! [SV474: $i,SV46: $i] :
( ( ( class_OrderedGroup_Oab__group__add @ SV46 )
= $false )
| ( ( ! [SY2652: $i,SY2653: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV474 @ SV474 @ SV46 )
!= ( c_HOL_Ominus__class_Ominus @ SY2652 @ SY2653 @ SV46 ) )
| ( SY2652 = SY2653 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2408]) ).
thf(2775,plain,
! [SV475: $i,SV47: $i] :
( ( ( class_OrderedGroup_Oab__group__add @ SV47 )
= $false )
| ( ( ! [SY2654: $i] :
( ! [SY2655: $i] :
( ( c_HOL_Ominus__class_Ominus @ SV475 @ SY2654 @ SV47 )
!= ( c_HOL_Ominus__class_Ominus @ SY2655 @ SY2655 @ SV47 ) )
| ( SV475 = SY2654 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2409]) ).
thf(2776,plain,
! [SV476: $i,SV1113: $i,SV48: $i] :
( ( ( ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SV1113 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV476 @ SV1113 @ tc_nat ) @ tc_nat )
| ~ ( c_lessequals @ SV1113 @ SV476 @ tc_nat )
| ~ ( c_lessequals @ SV1113 @ SV48 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV48 @ SV476 @ tc_nat )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2410]) ).
thf(2777,plain,
! [SV836: $i,SV477: $i,SV49: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV49 @ SV477 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV836 @ SV477 @ tc_nat ) @ tc_nat )
= $true )
| ( ( ~ ( c_lessequals @ SV49 @ SV836 @ tc_nat )
| ~ ( c_lessequals @ SV477 @ SV836 @ tc_nat )
| ~ ( c_lessequals @ SV477 @ SV49 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2411]) ).
thf(2778,plain,
! [SV837: $i,SV478: $i,SV50: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV50 @ SV478 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV837 @ SV478 @ tc_nat ) @ tc_nat )
= $true )
| ( ( ~ ( c_lessequals @ SV50 @ SV837 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2412]) ).
thf(2779,plain,
! [SV838: $i,SV479: $i,SV51: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV51 @ SV479 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV51 @ SV838 @ tc_nat ) @ tc_nat )
= $true )
| ( ( ~ ( c_lessequals @ SV838 @ SV479 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2413]) ).
thf(2780,plain,
! [SV1114: $i,SV839: $i,SV480: $i,SV52: $i] :
( ( ( c_Set_Oinsert @ SV52 @ ( c_Set_Oinsert @ SV480 @ SV839 @ SV1114 ) @ SV1114 )
= ( c_Set_Oinsert @ SV480 @ ( c_Set_Oinsert @ SV52 @ SV839 @ SV1114 ) @ SV1114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2414]) ).
thf(2781,plain,
! [SV481: $i,SV53: $i] :
( ( ( class_Divides_Oring__div @ SV53 )
= $false )
| ( ( ! [SY2662: $i,SY2663: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV481 @ SY2662 @ SV53 ) @ SY2663 @ SV53 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV481 @ ( c_Divides_Odiv__class_Omod @ SY2662 @ SY2663 @ SV53 ) @ SV53 ) @ SY2663 @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2415]) ).
thf(2782,plain,
! [SV482: $i,SV54: $i] :
( ( ( class_Divides_Oring__div @ SV54 )
= $false )
| ( ( ! [SY2664: $i,SY2665: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV482 @ SY2664 @ SV54 ) @ SY2665 @ SV54 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV482 @ SY2665 @ SV54 ) @ SY2664 @ SV54 ) @ SY2665 @ SV54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2416]) ).
thf(2783,plain,
! [SV1115: $i,SV840: $i,SV483: $i,SV55: $i] :
( ( ( c_Fun_Oinj__on @ SV55 @ SV483 @ SV840 @ SV1115 )
| ! [SY3525: $i] :
~ ( c_Fun_Oinj__on @ SV55 @ ( c_Set_Oinsert @ SY3525 @ SV483 @ SV840 ) @ SV840 @ SV1115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2417]) ).
thf(2784,plain,
! [SV842: $i,SV485: $i,SV57: $i] :
( ( ( c_lessequals @ SV57 @ SV485 @ ( tc_fun @ SV842 @ tc_bool ) )
= $true )
| ( ( ! [SY3248: $i] :
~ ( c_lessequals @ ( c_Set_Oinsert @ SY3248 @ SV57 @ SV842 ) @ SV485 @ ( tc_fun @ SV842 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2419]) ).
thf(2785,plain,
! [SV1116: $i,SV843: $i,SV486: $i,SV58: $i] :
( ( ( c_lessequals @ SV58 @ ( c_Set_Oinsert @ SV486 @ SV843 @ SV1116 ) @ ( tc_fun @ SV1116 @ tc_bool ) )
| ~ ( c_lessequals @ SV58 @ SV843 @ ( tc_fun @ SV1116 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2420]) ).
thf(2786,plain,
! [SV59: $i,SV1117: $i] :
( ( ( ! [SY3526: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ SV1117 @ SY3526 @ SV59 ) @ SY3526 @ SV59 )
= ( c_Divides_Odiv__class_Omod @ SV1117 @ SY3526 @ SV59 ) ) )
= $true )
| ( ( class_Divides_Osemiring__div @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2421]) ).
thf(2787,plain,
! [SV61: $i,SV488: $i,SV1118: $i] :
( ( ( ( SV1118 = SV488 )
| ! [SY3527: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1118 @ SV61 @ SY3527 ) @ SV488 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV61 @ SV488 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2423]) ).
thf(2788,plain,
! [SV63: $i,SV490: $i] :
( ( ( c_lessequals @ SV490 @ SV63 @ tc_nat )
= $false )
| ( ( ( c_Divides_Odiv__class_Omod @ SV63 @ SV490 @ tc_nat )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV63 @ SV490 @ tc_nat ) @ SV490 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2425]) ).
thf(2789,plain,
! [SV1119: $i,SV65: $i,SV492: $i] :
( ( ( ~ ( c_lessequals @ SV492 @ SV65 @ ( tc_fun @ SV1119 @ tc_bool ) )
| ~ ( c_lessequals @ SV65 @ SV492 @ ( tc_fun @ SV1119 @ tc_bool ) ) )
= $true )
| ( ( SV65 = SV492 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2427]) ).
thf(2790,plain,
! [SV66: $i,SV493: $i] :
( ( ( ~ ( c_lessequals @ SV493 @ SV66 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV66 @ SV493 @ tc_nat ) )
= $true )
| ( ( SV66 = SV493 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2428]) ).
thf(2791,plain,
! [SV1120: $i,SV67: $i,SV494: $i] :
( ( ( ~ ( c_lessequals @ SV494 @ SV67 @ ( tc_fun @ SV1120 @ tc_bool ) )
| ~ ( c_lessequals @ SV67 @ SV494 @ ( tc_fun @ SV1120 @ tc_bool ) ) )
= $true )
| ( ( SV67 = SV494 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2429]) ).
thf(2792,plain,
! [SV68: $i,SV1121: $i] :
( ( ( ! [SY3528: $i] :
( ( SV1121 = SY3528 )
| ~ ( c_lessequals @ SY3528 @ SV1121 @ SV68 )
| ~ ( c_lessequals @ SV1121 @ SY3528 @ SV68 ) ) )
= $true )
| ( ( class_Orderings_Oorder @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2430]) ).
thf(2793,plain,
! [SV69: $i,SV1122: $i] :
( ( ( ! [SY3529: $i] :
( ( SV1122 = SY3529 )
| ~ ( c_lessequals @ SY3529 @ SV1122 @ SV69 )
| ~ ( c_lessequals @ SV1122 @ SY3529 @ SV69 ) ) )
= $true )
| ( ( class_Orderings_Oorder @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2431]) ).
thf(2794,plain,
! [SV70: $i,SV1123: $i] :
( ( ( ! [SY3530: $i] :
( ( SV1123 = SY3530 )
| ~ ( c_lessequals @ SV1123 @ SY3530 @ SV70 )
| ~ ( c_lessequals @ SY3530 @ SV1123 @ SV70 ) ) )
= $true )
| ( ( class_Orderings_Oorder @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2432]) ).
thf(2795,plain,
! [SV1124: $i,SV847: $i,SV495: $i,SV71: $i] :
( ( ~ ( class_Divides_Oring__div @ SV71 )
| ( ( c_Divides_Odiv__class_Omod @ SV495 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SV1124 @ SV847 @ SV71 ) )
| ! [SY3531: $i,SY3532: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SY3531 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY3532 @ SV847 @ SV71 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3531 @ SV495 @ SV71 ) @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3532 @ SV1124 @ SV71 ) @ SV847 @ SV71 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2433]) ).
thf(2796,plain,
! [SV1125: $i,SV848: $i,SV496: $i,SV72: $i] :
( ( c_lessequals @ ( c_List_Oset @ ( c_List_Olist__update @ SV72 @ SV496 @ SV848 @ SV1125 ) @ SV1125 ) @ ( c_Set_Oinsert @ SV848 @ ( c_List_Oset @ SV72 @ SV1125 ) @ SV1125 ) @ ( tc_fun @ SV1125 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2797,plain,
! [SV498: $i,SV74: $i] :
( ( ( class_Orderings_Oorder @ SV74 )
= $false )
| ( ( ! [SY2688: $i] :
( ( c_lessequals @ SV498 @ SY2688 @ SV74 )
| ! [SY2689: $i] :
( ~ ( c_lessequals @ SV498 @ SY2689 @ SV74 )
| ~ ( c_lessequals @ SY2689 @ SY2688 @ SV74 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2436]) ).
thf(2798,plain,
! [SV499: $i,SV75: $i] :
( ( ( class_Orderings_Opreorder @ SV75 )
= $false )
| ( ( ! [SY2690: $i] :
( ( c_lessequals @ SV499 @ SY2690 @ SV75 )
| ! [SY2691: $i] :
( ~ ( c_lessequals @ SY2691 @ SY2690 @ SV75 )
| ~ ( c_lessequals @ SV499 @ SY2691 @ SV75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2437]) ).
thf(2799,plain,
! [SV77: $i,SV500: $i,SV1126: $i] :
( ( ( ~ ( c_lessequals @ SV1126 @ SV500 @ tc_nat )
| ~ ( c_lessequals @ SV77 @ SV1126 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV77 @ SV500 @ tc_nat )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2438]) ).
thf(2800,plain,
! [SV850: $i,SV503: $i,SV81: $i] :
( ( ( c_lessequals @ SV81 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
= $true )
| ( ( ! [SY3254: $i] :
( ~ ( c_lessequals @ SY3254 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
| ~ ( c_lessequals @ SV81 @ SY3254 @ ( tc_fun @ SV850 @ tc_bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2439]) ).
thf(2801,plain,
! [SV1127: $i,SV851: $i,SV504: $i,SV82: $i] :
( ( ( c_Fun_Oinj__on @ SV82 @ SV504 @ SV851 @ SV1127 )
| ! [SY3533: $i] :
( ~ ( c_lessequals @ SV504 @ SY3533 @ ( tc_fun @ SV851 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV82 @ SY3533 @ SV851 @ SV1127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2440]) ).
thf(2802,plain,
! [SV83: $i,SV505: $i,SV1128: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV1128 @ SV505 ) )
| ! [SY3534: $i] :
~ ( c_lessequals @ SV1128 @ SV83 @ ( tc_fun @ SY3534 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV83 @ SV505 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2441]) ).
thf(2803,plain,
! [SV84: $i,SV1129: $i] :
( ( ( c_lessequals @ SV1129 @ SV1129 @ SV84 )
= $true )
| ( ( class_Orderings_Oorder @ SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2442]) ).
thf(2804,plain,
! [SV85: $i,SV1130: $i] :
( ( ( c_lessequals @ SV1130 @ SV1130 @ SV85 )
= $true )
| ( ( class_Orderings_Opreorder @ SV85 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2443]) ).
thf(2805,plain,
! [SV506: $i,SV86: $i,SV1131: $i] :
( ( ( ! [SY3535: $i] :
~ ( c_lessequals @ SV1131 @ SV86 @ ( tc_fun @ SY3535 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV1131 @ SV506 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV86 @ SV506 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2444]) ).
thf(2806,plain,
! [SV1132: $i,SV852: $i,SV507: $i,SV87: $i] :
( ( ! [SY3536: $i] :
( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SV507 @ SV852 @ SV1132 @ SY3536 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SV1132 ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV852 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SV852 @ SY3536 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SV507 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2445]) ).
thf(2807,plain,
! [SV853: $i,SV508: $i,SV88: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV88 ) )
= $true )
| ( ( ! [SY3259: $i,SY3260: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV508 @ SV853 @ SV88 )
!= ( c_HOL_Ominus__class_Ominus @ SY3259 @ SY3260 @ SV88 ) )
| ( c_lessequals @ SY3260 @ SY3259 @ SV88 )
| ~ ( c_lessequals @ SV853 @ SV508 @ SV88 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2446]) ).
thf(2808,plain,
! [SV854: $i,SV509: $i,SV89: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV89 ) )
= $true )
| ( ( ! [SY3261: $i,SY3262: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV509 @ SV854 @ SV89 )
!= ( c_HOL_Ominus__class_Ominus @ SY3261 @ SY3262 @ SV89 ) )
| ( c_lessequals @ SV854 @ SV509 @ SV89 )
| ~ ( c_lessequals @ SY3262 @ SY3261 @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2447]) ).
thf(2809,plain,
! [SV1133: $i,SV855: $i,SV510: $i,SV90: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV90 @ SV510 @ SV855 ) @ ( c_Set_Oinsert @ SV90 @ SV1133 @ SV855 ) @ ( tc_fun @ SV855 @ tc_bool ) )
| ~ ( c_lessequals @ SV510 @ SV1133 @ ( tc_fun @ SV855 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2448]) ).
thf(2810,plain,
! [SV92: $i,SV1134: $i] :
( ( ( ! [SY3537: $i] :
( ( c_lessequals @ SV1134 @ SY3537 @ SV92 )
| ( c_lessequals @ SY3537 @ SV1134 @ SV92 ) ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2450]) ).
thf(2811,plain,
! [SV857: $i,SV514: $i,SV95: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Olist_OCons @ SV95 @ SV514 @ SV857 ) @ SV857 )
= ( c_List_Olist_OCons @ SV95 @ ( c_List_Obutlast @ SV514 @ SV857 ) @ SV857 ) )
= $true )
| ( ( SV514
= ( c_List_Olist_ONil @ SV857 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2452]) ).
thf(2812,plain,
! [SV860: $i,SV517: $i,SV98: $i] :
( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ ( c_List_Olist_OCons @ SV98 @ SV517 @ SV860 ) @ ( tc_List_Olist @ SV860 ) ) @ ( c_Nat_Osize__class_Osize @ SV517 @ ( tc_List_Olist @ SV860 ) ) @ tc_nat )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2455]) ).
thf(2813,plain,
! [SV861: $i,SV519: $i,SV100: $i] :
( ( ( ( c_List_Otl @ ( c_List_Oappend @ SV100 @ SV519 @ SV861 ) @ SV861 )
= ( c_List_Oappend @ ( c_List_Otl @ SV100 @ SV861 ) @ SV519 @ SV861 ) )
= $true )
| ( ( SV100
= ( c_List_Olist_ONil @ SV861 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2456]) ).
thf(2814,plain,
! [SV862: $i,SV520: $i,SV101: $i] :
( ( ( ( c_List_Obutlast @ ( c_List_Oappend @ SV101 @ SV520 @ SV862 ) @ SV862 )
= ( c_List_Oappend @ SV101 @ ( c_List_Obutlast @ SV520 @ SV862 ) @ SV862 ) )
= $true )
| ( ( SV520
= ( c_List_Olist_ONil @ SV862 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2457]) ).
thf(2815,plain,
! [SV865: $i,SV523: $i,SV104: $i] :
( ( ( ( c_List_Otake @ SV104 @ SV523 @ SV865 )
= SV523 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV523 @ ( tc_List_Olist @ SV865 ) ) @ SV104 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2460]) ).
thf(2816,plain,
! [SV525: $i,SV106: $i] :
( ( ( class_Orderings_Olinorder @ SV106 )
= $false )
| ( ( ! [SY2724: $i] :
( ( c_lessequals @ SV525 @ SY2724 @ SV106 )
| ! [SY2725: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV525 @ ( c_List_Olist_OCons @ SY2724 @ SY2725 @ SV106 ) @ SV106 ) @ SV106 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2817,plain,
! [SV526: $i,SV107: $i] :
( ( ( class_Orderings_Olinorder @ SV107 )
= $false )
| ( ( ! [SY2726: $i,SY2727: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV526 @ ( c_List_Olist_OCons @ SY2726 @ SY2727 @ SV107 ) @ SV107 ) @ SV107 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2726 @ SY2727 @ SV107 ) @ SV107 )
| ~ ( c_lessequals @ SV526 @ SY2726 @ SV107 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2463]) ).
thf(2818,plain,
! [SV1135: $i,SV869: $i,SV529: $i,SV110: $i] :
( ( ( ( c_List_Olist__update @ SV110 @ SV529 @ SV869 @ SV1135 )
= SV110 )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV110 @ ( tc_List_Olist @ SV1135 ) ) @ SV529 @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2466]) ).
thf(2819,plain,
! [SV1136: $i,SV871: $i,SV531: $i,SV112: $i] :
( ( ( c_List_Odrop @ SV112 @ ( c_List_Otake @ SV531 @ SV871 @ SV1136 ) @ SV1136 )
= ( c_List_Otake @ ( c_HOL_Ominus__class_Ominus @ SV531 @ SV112 @ tc_nat ) @ ( c_List_Odrop @ SV112 @ SV871 @ SV1136 ) @ SV1136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2468]) ).
thf(2820,plain,
! [SV1137: $i,SV874: $i,SV535: $i,SV116: $i] :
( ( ! [SY3538: $i] :
( ( hBOOL @ ( hAPP @ SV116 @ ( c_Message_Oagent_Oagent__case @ SV535 @ SV874 @ SV1137 @ SY3538 @ t_a ) ) )
| ( SY3538 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( hAPP @ SV874 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV116 @ SV874 @ SY3538 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ SV535 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2471]) ).
thf(2821,plain,
! [SV1138: $i,SV875: $i,SV536: $i,SV117: $i] :
( ( ! [SY3539: $i] :
( ( ( hAPP @ SV117 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) )
!= ( hAPP @ SV875 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) ) )
| ! [SY3540: $i,SY3541: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3539 @ SV117 @ SY3540 @ SV536 @ SV1138 )
= ( c_Message_Oagent_Oagent__case @ SY3539 @ SV875 @ SY3541 @ SV536 @ SV1138 ) )
| ( SV536 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2472]) ).
thf(2822,plain,
! [SV1139: $i,SV876: $i,SV537: $i,SV118: $i] :
( ( ! [SY3542: $i] :
( ( hBOOL @ ( hAPP @ SV118 @ ( c_Message_Oagent_Oagent__case @ SV537 @ SV876 @ SV1139 @ SY3542 @ t_a ) ) )
| ( SY3542 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( hAPP @ SV876 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV118 @ SV876 @ SY3542 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ SV537 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2473]) ).
thf(2823,plain,
! [SV1140: $i,SV878: $i,SV539: $i,SV120: $i] :
( ( ( c_List_Odrop @ SV120 @ ( c_List_Oreplicate @ SV539 @ SV878 @ SV1140 ) @ SV1140 )
= ( c_List_Oreplicate @ ( c_HOL_Ominus__class_Ominus @ SV539 @ SV120 @ tc_nat ) @ SV878 @ SV1140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2475]) ).
thf(2824,plain,
! [SV1141: $i,SV880: $i,SV541: $i,SV122: $i] :
( ( ! [SY3543: $i] :
( ( hBOOL @ ( hAPP @ SV122 @ ( c_Message_Oagent_Oagent__case @ SV541 @ SV880 @ SV1141 @ SY3543 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ SV1141 ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ ( hAPP @ SV880 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV122 @ SV880 @ SY3543 ) ) ) )
| ( SY3543 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2477]) ).
thf(2825,plain,
! [SV1142: $i,SV881: $i,SV542: $i,SV123: $i] :
( ( ! [SY3544: $i] :
( ( hBOOL @ ( hAPP @ SV123 @ ( c_Message_Oagent_Oagent__case @ SV542 @ SV881 @ SV1142 @ SY3544 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ SV1142 ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ ( hAPP @ SV881 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV123 @ SV881 @ SY3544 ) ) ) )
| ( SY3544 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2478]) ).
thf(2826,plain,
! [SV1143: $i,SV882: $i,SV543: $i,SV124: $i] :
( ( ! [SY3545: $i] :
( ( ( hAPP @ SV124 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) )
!= ( hAPP @ SV882 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) ) )
| ( SV543 = c_Message_Oagent_OServer )
| ! [SY3546: $i,SY3547: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3545 @ SV124 @ SY3546 @ SV543 @ SV1143 )
= ( c_Message_Oagent_Oagent__case @ SY3547 @ SV882 @ SY3546 @ SV543 @ SV1143 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2479]) ).
thf(2827,plain,
! [SV1144: $i,SV883: $i,SV544: $i,SV125: $i] :
( ( ( SV125
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV125 @ SV544 @ SV883 @ SV1144 ) ) )
| ! [SY3548: $i,SY3549: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3548 @ SV544 @ SY3549 @ SV125 @ SV1144 )
= ( c_Message_Oagent_Oagent__case @ SY3548 @ SV883 @ SY3549 @ SV125 @ SV1144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2480]) ).
thf(2828,plain,
! [SV1145: $i,SV884: $i,SV545: $i,SV126: $i] :
( ( ! [SY3550: $i] :
( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV545 @ SV884 @ SV1145 @ SY3550 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SV1145 ) )
| ( SY3550
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV884 @ SY3550 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SV545 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2481]) ).
thf(2829,plain,
! [SV1146: $i,SV885: $i,SV546: $i,SV127: $i] :
( ( ! [SY3551: $i] :
( ( hBOOL @ ( hAPP @ SV127 @ ( c_Message_Oagent_Oagent__case @ SV546 @ SV885 @ SV1146 @ SY3551 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SV1146 ) )
| ( SY3551
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV127 @ SV885 @ SY3551 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SV546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2482]) ).
thf(2830,plain,
! [SV886: $i,SV129: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV129 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV129 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV129 @ SV886 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2483]) ).
thf(2831,plain,
! [SV887: $i,SV130: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV130 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV130 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV130 @ SV887 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2484]) ).
thf(2832,plain,
! [SV888: $i,SV131: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV131 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV131 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV131 @ SV888 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2485]) ).
thf(2833,plain,
! [SV889: $i,SV132: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV132 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV132 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV132 @ SV889 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2486]) ).
thf(2834,plain,
! [SV890: $i,SV133: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV133 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV133 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV133 @ SV890 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2487]) ).
thf(2835,plain,
! [SV891: $i,SV134: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV134 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV134 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV134 @ SV891 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2488]) ).
thf(2836,plain,
! [SV892: $i,SV135: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV135 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV135 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV135 @ SV892 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2489]) ).
thf(2837,plain,
! [SV893: $i,SV136: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV136 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV136 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV136 @ SV893 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2490]) ).
thf(2838,plain,
! [SV894: $i,SV137: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV137 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV137 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV137 @ SV894 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2491]) ).
thf(2839,plain,
! [SV895: $i,SV138: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV138 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV138 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV138 @ SV895 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2492]) ).
thf(2840,plain,
! [SV896: $i,SV139: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV139 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV139 ) @ t_a ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV139 @ SV896 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2493]) ).
thf(2841,plain,
! [SV897: $i,SV548: $i,SV140: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SV897 @ SV548 )
!= SV140 )
= $true )
| ( ( ! [SY3290: $i] :
( ( c_List_Oappend @ SV897 @ SY3290 @ SV548 )
= ( c_List_Oappend @ SV140 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SV897 @ SV548 ) @ SY3290 @ SV548 ) @ SV548 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV897 @ ( tc_List_Olist @ SV548 ) ) @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2494]) ).
thf(2842,plain,
! [SV898: $i,SV549: $i,SV141: $i] :
( ( ( SV141
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) )
= $true )
| ( ( ! [SY3291: $i] :
( ( c_List_Oappend @ SV141 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) @ SY3291 @ SV549 ) @ SV549 )
= ( c_List_Oappend @ SV898 @ SY3291 @ SV549 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ ( c_Nat_Osize__class_Osize @ SV898 @ ( tc_List_Olist @ SV549 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2495]) ).
thf(2843,plain,
! [SV550: $i,SV142: $i] :
( ( ( class_OrderedGroup_Ocomm__monoid__add @ SV142 )
= $false )
| ( ( ! [SY2777: $i,SY2778: $i] :
( ( ( c_Finite__Set_Osetsum @ SV550 @ ( c_List_Oset @ SY2777 @ SY2778 ) @ SY2778 @ SV142 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV550 @ SY2777 @ SY2778 @ SV142 ) @ SV142 ) )
| ~ ( c_List_Odistinct @ SY2777 @ SY2778 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2496]) ).
thf(2844,plain,
! [SV1147: $i,SV901: $i,SV146: $i] :
( ( ( ( c_Event_Oknows @ SV146 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV146 @ SV901 ) @ SV1147 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV901 @ ( c_Event_Oknows @ SV146 @ SV1147 ) @ tc_Message_Omsg ) )
= $true )
| ( ( SV146 = c_Message_Oagent_OSpy )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2500]) ).
thf(2845,plain,
! [SV1148: $i,SV903: $i,SV555: $i,SV148: $i] :
( ( ! [SY3552: $i] :
( ( hBOOL @ ( hAPP @ SV148 @ ( c_Message_Oagent_Oagent__case @ SV555 @ SV903 @ SV1148 @ SY3552 @ t_a ) ) )
| ( SY3552 = c_Message_Oagent_OSpy )
| ( SY3552
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV148 @ SV903 @ SY3552 ) ) )
| ( SY3552 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2502]) ).
thf(2846,plain,
! [SV1149: $i,SV904: $i,SV556: $i,SV149: $i] :
( ( ! [SY3553: $i,SY3554: $i,SY3555: $i] :
( ! [SY3556: $i] :
( ( c_Message_Oagent_Oagent__case @ SV149 @ SV556 @ SV904 @ SV1149 @ SY3553 )
= ( c_Message_Oagent_Oagent__case @ SY3554 @ SY3555 @ SY3556 @ SV1149 @ SY3553 ) )
| ( SV1149 = c_Message_Oagent_OSpy )
| ( SV1149
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1149 @ SV556 @ SY3555 @ SY3553 ) ) )
| ( SV1149 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2503]) ).
thf(2847,plain,
! [SV1150: $i,SV905: $i,SV557: $i,SV150: $i] :
( ( ! [SY3557: $i] :
( ( hBOOL @ ( hAPP @ SV150 @ ( c_Message_Oagent_Oagent__case @ SV557 @ SV905 @ SV1150 @ SY3557 @ t_a ) ) )
| ( SY3557 = c_Message_Oagent_OSpy )
| ( SY3557
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV150 @ SV905 @ SY3557 ) ) )
| ( SY3557 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2504]) ).
thf(2848,plain,
! [SV153: $i,SV1151: $i] :
( ( ( ! [SY3558: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SV1151 @ SY3558 @ SV153 ) @ SV153 )
| ~ ( c_List_Olinorder__class_Osorted @ SY3558 @ SV153 ) ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV153 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2507]) ).
thf(2849,plain,
! [SV1152: $i,SV907: $i,SV560: $i,SV154: $i] :
( ( ! [SY3559: $i] :
( ( c_List_Otake @ SV154 @ ( c_List_Omap @ SV560 @ SV907 @ SV1152 @ SY3559 ) @ SY3559 )
= ( c_List_Omap @ SV560 @ ( c_List_Otake @ SV154 @ SV907 @ SV1152 ) @ SV1152 @ SY3559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2508]) ).
thf(2850,plain,
! [SV1153: $i,SV909: $i,SV562: $i,SV157: $i] :
( ( ! [SY3560: $i,SY3561: $i] :
( ( c_List_Olist__all2 @ SV157 @ ( c_List_Otake @ SV562 @ SV909 @ SV1153 ) @ ( c_List_Otake @ SV562 @ SY3560 @ SY3561 ) @ SV1153 @ SY3561 )
| ~ ( c_List_Olist__all2 @ SV157 @ SV909 @ SY3560 @ SV1153 @ SY3561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2510]) ).
thf(2851,plain,
! [SV1154: $i,SV910: $i,SV563: $i,SV158: $i] :
( ( ( c_Fun_Oinj__on @ SV158 @ ( c_List_Oset @ SV563 @ SV910 ) @ SV910 @ SV1154 )
| ~ ( c_List_Odistinct @ ( c_List_Omap @ SV158 @ SV563 @ SV910 @ SV1154 ) @ SV1154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2511]) ).
thf(2852,plain,
! [SV1155: $i,SV911: $i,SV564: $i,SV159: $i] :
( ( ! [SY3562: $i] :
( ( c_List_Olist_OCons @ SV159 @ SV564 @ SV911 )
!= ( c_List_Ofilter @ SV1155 @ SY3562 @ SV911 ) )
| ( hBOOL @ ( hAPP @ SV1155 @ SV159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2512]) ).
thf(2853,plain,
! [SV565: $i,SV160: $i,SV1156: $i] :
( ( ( ~ ( c_List_Olist__all2 @ ( c_fequal @ SV1156 ) @ SV160 @ SV565 @ SV1156 @ SV1156 ) )
= $true )
| ( ( SV160 = SV565 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2513]) ).
thf(2854,plain,
! [SV1157: $i,SV912: $i,SV566: $i,SV161: $i] :
( ( ! [SY3563: $i,SY3564: $i] :
( ( c_List_Ofoldl @ SV161 @ SV566 @ ( c_List_Olist_OCons @ SV912 @ SV1157 @ SY3563 ) @ SY3564 @ SY3563 )
= ( c_List_Ofoldl @ SV161 @ ( hAPP @ ( hAPP @ SV161 @ SV566 ) @ SV912 ) @ SV1157 @ SY3564 @ SY3563 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2514]) ).
thf(2855,plain,
! [SV162: $i,SV1158: $i] :
( ( ( ! [SY3565: $i] :
( ( ( c_List_Oset @ SV1158 @ SV162 )
!= ( c_List_Oset @ SY3565 @ SV162 ) )
| ~ ( c_List_Odistinct @ SY3565 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SY3565 @ SV162 )
| ~ ( c_List_Odistinct @ SV1158 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
| ( SV1158 = SY3565 ) ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2515]) ).
thf(2856,plain,
! [SV567: $i,SV163: $i] :
( ( ( class_Orderings_Olinorder @ SV163 )
= $false )
| ( ( ! [SY2813: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV567 @ SY2813 @ SV163 ) @ SV163 )
| ! [SY2814: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2814 @ ( c_List_Olist_OCons @ SV567 @ SY2813 @ SV163 ) @ SV163 ) @ SV163 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2516]) ).
thf(2857,plain,
! [SV1159: $i,SV913: $i,SV568: $i,SV164: $i] :
( ( ! [SY3566: $i,SY3567: $i,SY3568: $i] :
( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SV568 @ SV913 @ SV1159 ) @ ( c_List_Oappend @ SY3566 @ SY3567 @ SY3568 ) @ SV1159 @ SY3568 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV913 @ SY3567 @ SV1159 @ SY3568 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV568 @ SY3566 @ SV1159 @ SY3568 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2517]) ).
thf(2858,plain,
! [SV1160: $i,SV914: $i,SV569: $i,SV165: $i] :
( ( ! [SY3569: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
| ! [SY3570: $i] :
( ( ( c_Nat_Osize__class_Osize @ SY3569 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SY3570 @ ( tc_List_Olist @ SV1160 ) ) )
| ! [SY3571: $i] :
( ( c_List_Olist__all2 @ SY3571 @ ( c_List_Oappend @ SY3569 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SY3570 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3571 @ SV165 @ SV914 @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3571 @ SY3569 @ SY3570 @ SV569 @ SV1160 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2518]) ).
thf(2859,plain,
! [SV1161: $i,SV915: $i,SV570: $i,SV166: $i] :
( ( ! [SY3572: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
| ! [SY3573: $i] :
( ( ( c_Nat_Osize__class_Osize @ SY3572 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SY3573 @ ( tc_List_Olist @ SV1161 ) ) )
| ! [SY3574: $i] :
( ( c_List_Olist__all2 @ SY3574 @ ( c_List_Oappend @ SY3573 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SY3572 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3574 @ SV915 @ SV166 @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3574 @ SY3573 @ SY3572 @ SV1161 @ SV570 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2519]) ).
thf(2860,plain,
! [SV1162: $i,SV916: $i,SV571: $i,SV167: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV167 @ SV571 @ SV916 ) @ SV1162 @ SV916 )
= ( c_List_Olist_OCons @ SV167 @ ( c_List_Oappend @ SV571 @ SV1162 @ SV916 ) @ SV916 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2520]) ).
thf(2861,plain,
! [SV1163: $i,SV917: $i,SV572: $i,SV168: $i] :
( ( ( c_List_Oappend @ ( c_List_Olist_OCons @ SV168 @ SV572 @ SV917 ) @ SV1163 @ SV917 )
= ( c_List_Olist_OCons @ SV168 @ ( c_List_Oappend @ SV572 @ SV1163 @ SV917 ) @ SV917 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2521]) ).
thf(2862,plain,
! [SV918: $i,SV573: $i,SV169: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV169 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV169 @ SV573 @ SV918 ) @ SV918 ) ) ) )
= $true )
| ( ( ( c_List_OdropWhile @ SV169 @ SV573 @ SV918 )
= ( c_List_Olist_ONil @ SV918 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2522]) ).
thf(2863,plain,
! [SV574: $i,SV170: $i] :
( ( ( c_List_Odistinct @ SV170 @ SV574 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV170 @ SV574 ) @ SV574 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2523]) ).
thf(2864,plain,
! [SV575: $i,SV171: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate1 @ SV171 @ SV575 ) @ SV575 )
= $false )
| ( ( c_List_Odistinct @ SV171 @ SV575 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2524]) ).
thf(2865,plain,
! [SV920: $i,SV577: $i,SV173: $i] :
( ( ( c_List_Odistinct @ ( c_List_Ofilter @ SV173 @ SV577 @ SV920 ) @ SV920 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV577 @ SV920 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2526]) ).
thf(2866,plain,
! [SV1164: $i,SV921: $i,SV578: $i,SV174: $i] :
( ( ! [SY3575: $i] :
( ( c_List_Omap @ SV174 @ ( c_List_Olist_OCons @ SV578 @ SV921 @ SV1164 ) @ SV1164 @ SY3575 )
= ( c_List_Olist_OCons @ ( hAPP @ SV174 @ SV578 ) @ ( c_List_Omap @ SV174 @ SV921 @ SV1164 @ SY3575 ) @ SY3575 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2527]) ).
thf(2867,plain,
! [SV1165: $i,SV922: $i,SV579: $i,SV175: $i] :
( ( ! [SY3576: $i] :
( ( c_List_Olist_OCons @ ( hAPP @ SV175 @ SV579 ) @ ( c_List_Omap @ SV175 @ SV922 @ SV1165 @ SY3576 ) @ SY3576 )
= ( c_List_Omap @ SV175 @ ( c_List_Olist_OCons @ SV579 @ SV922 @ SV1165 ) @ SV1165 @ SY3576 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2528]) ).
thf(2868,plain,
! [SV1166: $i,SV923: $i,SV580: $i,SV176: $i] :
( ( ! [SY3577: $i] :
( ( c_List_Omap @ SV176 @ ( c_List_Olist_OCons @ SV580 @ SV923 @ SV1166 ) @ SV1166 @ SY3577 )
= ( c_List_Olist_OCons @ ( hAPP @ SV176 @ SV580 ) @ ( c_List_Omap @ SV176 @ SV923 @ SV1166 @ SY3577 ) @ SY3577 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2529]) ).
thf(2869,plain,
! [SV1167: $i,SV924: $i,SV581: $i,SV177: $i] :
( ( ! [SY3578: $i,SY3579: $i] :
( ( c_List_Olist_Olist__case @ SV177 @ SV581 @ ( c_List_Olist_OCons @ SV924 @ SV1167 @ SY3578 ) @ SY3579 @ SY3578 )
= ( hAPP @ ( hAPP @ SV581 @ SV924 ) @ SV1167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2530]) ).
thf(2870,plain,
! [SV1168: $i,SV926: $i,SV583: $i,SV180: $i] :
( ( ! [SY3580: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ SV180 @ SV583 ) @ SV926 ) )
| ! [SY3581: $i,SY3582: $i] :
~ ( c_List_Olist__all2 @ SV180 @ ( c_List_Olist_OCons @ SV583 @ SV1168 @ SY3580 ) @ ( c_List_Olist_OCons @ SV926 @ SY3581 @ SY3582 ) @ SY3580 @ SY3582 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2532]) ).
thf(2871,plain,
! [SV1169: $i,SV927: $i,SV584: $i,SV181: $i] :
( ( ( c_List_Olist_OCons @ SV181 @ ( c_List_Oappend @ SV584 @ SV927 @ SV1169 ) @ SV1169 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV181 @ SV584 @ SV1169 ) @ SV927 @ SV1169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2533]) ).
thf(2872,plain,
! [SV1170: $i,SV928: $i,SV585: $i,SV182: $i] :
( ( ( c_List_Olist_OCons @ SV182 @ ( c_List_Oappend @ SV585 @ SV928 @ SV1170 ) @ SV1170 )
= ( c_List_Oappend @ ( c_List_Olist_OCons @ SV182 @ SV585 @ SV1170 ) @ SV928 @ SV1170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2534]) ).
thf(2873,plain,
! [SV929: $i,SV586: $i,SV183: $i] :
( ( ( ( c_List_Olast @ ( c_List_Olist_OCons @ SV183 @ SV586 @ SV929 ) @ SV929 )
= ( c_List_Olast @ SV586 @ SV929 ) )
= $true )
| ( ( SV586
= ( c_List_Olist_ONil @ SV929 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2535]) ).
thf(2874,plain,
! [SV1171: $i,SV930: $i,SV587: $i,SV184: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV184 @ SV587 @ SV930 @ c_Message_Oagent_OServer @ SV1171 )
= SV184 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2536]) ).
thf(2875,plain,
! [SV1172: $i,SV931: $i,SV588: $i,SV185: $i] :
( ( ( c_List_Odistinct @ ( c_List_Omap @ SV185 @ SV588 @ SV931 @ SV1172 ) @ SV1172 )
| ~ ( c_Fun_Oinj__on @ SV185 @ ( c_List_Oset @ SV588 @ SV931 ) @ SV931 @ SV1172 )
| ~ ( c_List_Odistinct @ SV588 @ SV931 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2537]) ).
thf(2876,plain,
! [SV187: $i,SV1173: $i] :
( ( ( ( c_List_Olinorder__class_Osorted @ SV1173 @ SV187 )
| ! [SY3583: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY3583 @ SV1173 @ SV187 ) @ SV187 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV187 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2539]) ).
thf(2877,plain,
! [SV933: $i,SV590: $i,SV188: $i] :
( ( ( c_List_Odistinct @ ( c_List_Odrop @ SV188 @ SV590 @ SV933 ) @ SV933 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV590 @ SV933 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2540]) ).
thf(2878,plain,
! [SV934: $i,SV591: $i,SV189: $i] :
( ( ( c_List_Olist__all @ SV189 @ SV591 @ SV934 )
= $true )
| ( ( ! [SY3344: $i] :
~ ( c_List_Olist__all @ SV189 @ ( c_List_Olist_OCons @ SY3344 @ SV591 @ SV934 ) @ SV934 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2541]) ).
thf(2879,plain,
! [SV592: $i,SV190: $i] :
( ( ( ( c_List_Oremdups @ SV190 @ SV592 )
= SV190 )
= $false )
| ( ( c_List_Odistinct @ SV190 @ SV592 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2542]) ).
thf(2880,plain,
! [SV593: $i,SV191: $i] :
( ( ( c_List_Odistinct @ SV191 @ SV593 )
= $false )
| ( ( ( c_List_Oremdups @ SV191 @ SV593 )
= SV191 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2543]) ).
thf(2881,plain,
! [SV1174: $i,SV594: $i,SV192: $i] :
( ( ( ! [SY3584: $i] :
~ ( c_List_Olist__all @ SV192 @ ( c_List_Olist_OCons @ SV594 @ SV1174 @ SY3584 ) @ SY3584 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV192 @ SV594 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2544]) ).
thf(2882,plain,
! [SV935: $i,SV595: $i,SV193: $i] :
( ( ( ( c_List_Ohd @ ( c_List_Oappend @ SV193 @ SV595 @ SV935 ) @ SV935 )
= ( c_List_Ohd @ SV193 @ SV935 ) )
= $true )
| ( ( SV193
= ( c_List_Olist_ONil @ SV935 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2545]) ).
thf(2883,plain,
! [SV1175: $i,SV936: $i,SV596: $i,SV194: $i] :
( ( ! [SY3585: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
!= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SV1175 ) ) )
| ! [SY3586: $i,SY3587: $i] :
( ( c_List_Olist__all2 @ SY3585 @ ( c_List_Oappend @ SV194 @ SY3586 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SY3587 @ SV1175 ) @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SY3585 @ SY3586 @ SY3587 @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SY3585 @ SV194 @ SV936 @ SV596 @ SV1175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2546]) ).
thf(2884,plain,
! [SV937: $i,SV597: $i,SV195: $i] :
( ( ( c_List_Olist_OCons @ SV195 @ SV597 @ SV937 )
= SV597 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2547]) ).
thf(2885,plain,
! [SV938: $i,SV598: $i,SV196: $i] :
( ( SV196
= ( c_List_Olist_OCons @ SV598 @ SV196 @ SV938 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2548]) ).
thf(2886,plain,
! [SV1176: $i,SV940: $i,SV600: $i,SV198: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Olist__update @ SV198 @ SV600 @ SV940 @ SV1176 ) @ ( tc_List_Olist @ SV1176 ) )
= ( c_Nat_Osize__class_Osize @ SV198 @ ( tc_List_Olist @ SV1176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2550]) ).
thf(2887,plain,
! [SV1177: $i,SV942: $i,SV602: $i,SV200: $i] :
( ( ! [SY3588: $i,SY3589: $i] :
( ( c_List_Omap @ SV200 @ ( c_List_Olist__update @ SV602 @ SV942 @ SV1177 @ SY3588 ) @ SY3588 @ SY3589 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV200 @ SV602 @ SY3588 @ SY3589 ) @ SV942 @ ( hAPP @ SV200 @ SV1177 ) @ SY3589 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2552]) ).
thf(2888,plain,
! [SV1178: $i,SV943: $i,SV603: $i,SV201: $i] :
( ( ! [SY3590: $i] :
( ( c_Message_Oagent_Oagent__case @ SV201 @ SV603 @ SV943 @ ( c_Message_Oagent_OFriend @ SV1178 ) @ SY3590 )
= ( hAPP @ SV603 @ SV1178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2553]) ).
thf(2889,plain,
! [SV1179: $i,SV944: $i,SV604: $i,SV202: $i] :
( ( ( c_List_Olist__all @ SV202 @ ( c_List_Oappend @ SV604 @ SV944 @ SV1179 ) @ SV1179 )
| ~ ( c_List_Olist__all @ SV202 @ SV944 @ SV1179 )
| ~ ( c_List_Olist__all @ SV202 @ SV604 @ SV1179 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2554]) ).
thf(2890,plain,
! [SV203: $i,SV1180: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1180 @ ( c_List_Olist_ONil @ SV203 ) @ SV203 ) @ SV203 )
= $true )
| ( ( class_Orderings_Olinorder @ SV203 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2555]) ).
thf(2891,plain,
! [SV945: $i,SV605: $i,SV204: $i] :
( ( ( c_List_Odistinct @ ( c_List_Otake @ SV204 @ SV605 @ SV945 ) @ SV945 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV605 @ SV945 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2556]) ).
thf(2892,plain,
! [SV1181: $i,SV947: $i,SV607: $i,SV206: $i] :
( ( ! [SY3591: $i,SY3592: $i] :
( ( c_List_Ofoldl @ SV206 @ SV607 @ ( c_List_Oappend @ SV947 @ SV1181 @ SY3591 ) @ SY3592 @ SY3591 )
= ( c_List_Ofoldl @ SV206 @ ( c_List_Ofoldl @ SV206 @ SV607 @ SV947 @ SY3592 @ SY3591 ) @ SV1181 @ SY3592 @ SY3591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2558]) ).
thf(2893,plain,
! [SV608: $i,SV207: $i,SV1182: $i] :
( ( ( ~ ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV1182 @ SV207 @ SV608 ) @ SV608 ) )
= $true )
| ( ( c_List_Odistinct @ SV207 @ SV608 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2559]) ).
thf(2894,plain,
! [SV1183: $i,SV948: $i,SV609: $i,SV208: $i] :
( ( ( c_List_Ofilter @ SV208 @ ( c_List_Oappend @ SV609 @ SV948 @ SV1183 ) @ SV1183 )
= ( c_List_Oappend @ ( c_List_Ofilter @ SV208 @ SV609 @ SV1183 ) @ ( c_List_Ofilter @ SV208 @ SV948 @ SV1183 ) @ SV1183 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2560]) ).
thf(2895,plain,
! [SV610: $i,SV209: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV209 )
= ( c_Message_Oagent_OFriend @ SV610 ) )
= $false )
| ( ( SV209 = SV610 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2896,plain,
! [SV949: $i,SV611: $i,SV211: $i] :
( ( ( ! [SY3360: $i] :
( ( c_List_Omap @ SV211 @ SV611 @ SV949 @ SY3360 )
!= ( c_List_Olist_ONil @ SY3360 ) ) )
= $true )
| ( ( SV611
= ( c_List_Olist_ONil @ SV949 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2562]) ).
thf(2897,plain,
! [SV613: $i,SV213: $i] :
( ( ( c_List_Onull @ SV213 @ SV613 )
= $false )
| ( ( SV213
= ( c_List_Olist_ONil @ SV613 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2564]) ).
thf(2898,plain,
! [SV951: $i,SV614: $i,SV215: $i] :
( ( ( SV215
!= ( c_List_Oappend @ SV614 @ SV215 @ SV951 ) )
= $true )
| ( ( SV614
= ( c_List_Olist_ONil @ SV951 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2565]) ).
thf(2899,plain,
! [SV952: $i,SV615: $i,SV216: $i] :
( ( ( ( c_List_Oappend @ SV216 @ SV615 @ SV952 )
!= SV615 )
= $true )
| ( ( SV216
= ( c_List_Olist_ONil @ SV952 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2566]) ).
thf(2900,plain,
! [SV953: $i,SV616: $i,SV217: $i] :
( ( ( SV217
!= ( c_List_Oappend @ SV217 @ SV616 @ SV953 ) )
= $true )
| ( ( SV616
= ( c_List_Olist_ONil @ SV953 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2567]) ).
thf(2901,plain,
! [SV954: $i,SV617: $i,SV218: $i] :
( ( ( ( c_List_Oappend @ SV218 @ SV617 @ SV954 )
!= SV218 )
= $true )
| ( ( SV617
= ( c_List_Olist_ONil @ SV954 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2568]) ).
thf(2902,plain,
! [SV618: $i,SV219: $i] :
( ( ( ( c_List_Oremdups @ SV219 @ SV618 )
= ( c_List_Olist_ONil @ SV618 ) )
= $false )
| ( ( SV219
= ( c_List_Olist_ONil @ SV618 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2569]) ).
thf(2903,plain,
! [SV955: $i,SV619: $i,SV220: $i] :
( ( ( ( c_List_Orotate @ SV220 @ SV619 @ SV955 )
!= ( c_List_Olist_ONil @ SV955 ) )
= $true )
| ( ( SV619
= ( c_List_Olist_ONil @ SV955 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2570]) ).
thf(2904,plain,
! [SV620: $i,SV221: $i,SV1184: $i] :
( ( ( ! [SY3593: $i] :
~ ( c_List_Olist__all2 @ SV1184 @ SV221 @ ( c_List_Olist_ONil @ SY3593 ) @ SV620 @ SY3593 ) )
= $true )
| ( ( SV221
= ( c_List_Olist_ONil @ SV620 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2571]) ).
thf(2905,plain,
! [SV621: $i,SV222: $i,SV1185: $i] :
( ( ( ! [SY3594: $i] :
~ ( c_List_Olist__all2 @ SV1185 @ ( c_List_Olist_ONil @ SY3594 ) @ SV222 @ SY3594 @ SV621 ) )
= $true )
| ( ( SV222
= ( c_List_Olist_ONil @ SV621 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2572]) ).
thf(2906,plain,
! [SV956: $i,SV622: $i,SV224: $i] :
( ( ( c_List_Olist_ONil @ SV224 )
= ( c_List_Olist_OCons @ SV622 @ SV956 @ SV224 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2573]) ).
thf(2907,plain,
! [SV957: $i,SV623: $i,SV225: $i] :
( ( ( ( c_List_Oappend @ SV225 @ SV623 @ SV957 )
!= ( c_List_Olist_ONil @ SV957 ) )
= $true )
| ( ( SV623
= ( c_List_Olist_ONil @ SV957 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2574]) ).
thf(2908,plain,
! [SV958: $i,SV624: $i,SV226: $i] :
( ( ( ( c_List_Oappend @ SV226 @ SV624 @ SV958 )
!= ( c_List_Olist_ONil @ SV958 ) )
= $true )
| ( ( SV226
= ( c_List_Olist_ONil @ SV958 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2575]) ).
thf(2909,plain,
! [SV959: $i,SV625: $i,SV227: $i] :
( ( ( ( c_List_Olist_ONil @ SV227 )
!= ( c_List_Oappend @ SV625 @ SV959 @ SV227 ) )
= $true )
| ( ( SV959
= ( c_List_Olist_ONil @ SV227 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2576]) ).
thf(2910,plain,
! [SV1186: $i,SV626: $i,SV228: $i] :
( ( ( ( c_List_Olist_ONil @ SV228 )
!= ( c_List_Oappend @ SV626 @ SV1186 @ SV228 ) )
= $true )
| ( ( SV626
= ( c_List_Olist_ONil @ SV228 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2577]) ).
thf(2911,plain,
! [SV1187: $i,SV627: $i,SV229: $i] :
( ( ( ! [SY3595: $i] :
( ( c_List_Ofilter @ SV229 @ ( c_List_Olist_OCons @ SV627 @ SV1187 @ SY3595 ) @ SY3595 )
= ( c_List_Olist_OCons @ SV627 @ ( c_List_Ofilter @ SV229 @ SV1187 @ SY3595 ) @ SY3595 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV229 @ SV627 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2578]) ).
thf(2912,plain,
! [SV960: $i,SV628: $i,SV230: $i] :
( ( ( c_List_Olistsp @ SV230 @ SV628 @ SV960 )
= $true )
| ( ( ! [SY3361: $i] :
~ ( c_List_Olistsp @ SV230 @ ( c_List_Oappend @ SV628 @ SY3361 @ SV960 ) @ SV960 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2579]) ).
thf(2913,plain,
! [SV961: $i,SV629: $i,SV231: $i] :
( ( ( c_List_Olistsp @ SV231 @ SV629 @ SV961 )
= $true )
| ( ( ! [SY3362: $i] :
~ ( c_List_Olistsp @ SV231 @ ( c_List_Oappend @ SY3362 @ SV629 @ SV961 ) @ SV961 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2580]) ).
thf(2914,plain,
! [SV1188: $i,SV962: $i,SV630: $i,SV232: $i] :
( ( ! [SY3596: $i] :
( ( c_List_Oreplicate @ SV232 @ SV630 @ SV962 )
!= ( c_List_Oreplicate @ SV1188 @ SY3596 @ SV962 ) )
| ( SV232 = SV1188 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2581]) ).
thf(2915,plain,
! [SV1189: $i,SV963: $i,SV631: $i,SV233: $i] :
( ( ( ( c_List_Oappend @ SV233 @ SV631 @ SV963 )
!= ( c_List_Oappend @ SV1189 @ SV631 @ SV963 ) )
| ( SV233 = SV1189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2582]) ).
thf(2916,plain,
! [SV1190: $i,SV964: $i,SV632: $i,SV234: $i] :
( ( ( ( c_List_Oappend @ SV234 @ SV632 @ SV964 )
!= ( c_List_Oappend @ SV234 @ SV1190 @ SV964 ) )
| ( SV632 = SV1190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2583]) ).
thf(2917,plain,
! [SV235: $i,SV1191: $i] :
( ( ( ! [SY3597: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SV1191 @ SY3597 @ SV235 ) @ SV235 )
| ~ ( c_List_Olinorder__class_Osorted @ SY3597 @ SV235 ) ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV235 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2584]) ).
thf(2918,plain,
! [SV1192: $i,SV965: $i,SV633: $i,SV236: $i] :
( ( ! [SY3598: $i] :
( ( c_List_Ofilter @ SV236 @ SV633 @ SV965 )
!= ( c_List_Olist_OCons @ SV1192 @ SY3598 @ SV965 ) )
| ( hBOOL @ ( hAPP @ SV236 @ SV1192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2585]) ).
thf(2919,plain,
! [SV1193: $i,SV966: $i,SV634: $i,SV237: $i] :
( ( ! [SY3599: $i] :
( ( c_List_Olist__all2 @ SV237 @ SV634 @ SV966 @ SV1193 @ SY3599 )
| ! [SY3600: $i,SY3601: $i] :
~ ( c_List_Olist__all2 @ SV237 @ ( c_List_Olist_OCons @ SY3600 @ SV634 @ SV1193 ) @ ( c_List_Olist_OCons @ SY3601 @ SV966 @ SY3599 ) @ SV1193 @ SY3599 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2586]) ).
thf(2920,plain,
! [SV1194: $i,SV967: $i,SV635: $i,SV238: $i] :
( ( ! [SY3602: $i] :
( ( c_List_Orotate @ SV238 @ ( c_List_Omap @ SV635 @ SV967 @ SV1194 @ SY3602 ) @ SY3602 )
= ( c_List_Omap @ SV635 @ ( c_List_Orotate @ SV238 @ SV967 @ SV1194 ) @ SV1194 @ SY3602 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2587]) ).
thf(2921,plain,
! [SV636: $i,SV1195: $i,SV239: $i] :
( ( ( ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV239 @ SV1195 @ SV636 ) @ SV636 ) )
= $true )
| ( ( c_List_Odistinct @ SV239 @ SV636 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2588]) ).
thf(2922,plain,
! [SV637: $i,SV240: $i,SV1196: $i] :
( ( ( ~ ( c_List_Odistinct @ ( c_List_Oappend @ SV1196 @ SV240 @ SV637 ) @ SV637 ) )
= $true )
| ( ( c_List_Odistinct @ SV240 @ SV637 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2589]) ).
thf(2923,plain,
! [SV638: $i,SV241: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV241 @ SV638 ) @ ( tc_List_Olist @ SV638 ) )
= ( c_Nat_Osize__class_Osize @ SV241 @ ( tc_List_Olist @ SV638 ) ) )
= $false )
| ( ( ( c_List_Oremdups @ SV241 @ SV638 )
= SV241 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2590]) ).
thf(2924,plain,
! [SV639: $i,SV242: $i] :
( ( ( ( c_List_Oremdups @ SV242 @ SV639 )
= SV242 )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ ( c_List_Oremdups @ SV242 @ SV639 ) @ ( tc_List_Olist @ SV639 ) )
= ( c_Nat_Osize__class_Osize @ SV242 @ ( tc_List_Olist @ SV639 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2591]) ).
thf(2925,plain,
! [SV1197: $i,SV969: $i,SV641: $i,SV244: $i] :
( ( ( c_Nat_Osize__class_Osize @ ( c_List_Omap @ SV244 @ SV641 @ SV969 @ SV1197 ) @ ( tc_List_Olist @ SV1197 ) )
= ( c_Nat_Osize__class_Osize @ SV641 @ ( tc_List_Olist @ SV969 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2593]) ).
thf(2926,plain,
! [SV970: $i,SV642: $i,SV245: $i] :
( ( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV245 @ SV642 @ SV970 ) @ SV970 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV642 @ SV970 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2594]) ).
thf(2927,plain,
! [SV1198: $i,SV971: $i,SV643: $i,SV246: $i] :
( ( ! [SY3603: $i] :
( ( c_List_Omap @ SV246 @ ( c_List_Oreplicate @ SV643 @ SV971 @ SV1198 ) @ SV1198 @ SY3603 )
= ( c_List_Oreplicate @ SV643 @ ( hAPP @ SV246 @ SV971 ) @ SY3603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2595]) ).
thf(2928,plain,
! [SV1199: $i,SV972: $i,SV644: $i,SV247: $i] :
( ( ! [SY3604: $i,SY3605: $i] :
( ( c_List_Ofoldr @ SV247 @ ( c_List_Oappend @ SV644 @ SV972 @ SV1199 ) @ SY3604 @ SV1199 @ SY3605 )
= ( c_List_Ofoldr @ SV247 @ SV644 @ ( c_List_Ofoldr @ SV247 @ SV972 @ SY3604 @ SV1199 @ SY3605 ) @ SV1199 @ SY3605 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2596]) ).
thf(2929,plain,
! [SV1200: $i,SV645: $i,SV248: $i] :
( ( ( ! [SY3606: $i] : ( c_List_Olist__ex @ SV248 @ ( c_List_Olist_OCons @ SV645 @ SV1200 @ SY3606 ) @ SY3606 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV248 @ SV645 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2597]) ).
thf(2930,plain,
! [SV1201: $i,SV973: $i,SV646: $i,SV249: $i] :
( ( ! [SY3607: $i] :
( ( c_List_OdropWhile @ SV249 @ SV646 @ SV973 )
!= ( c_List_Olist_OCons @ SV1201 @ SY3607 @ SV973 ) )
| ~ ( hBOOL @ ( hAPP @ SV249 @ SV1201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2598]) ).
thf(2931,plain,
! [SV1202: $i,SV974: $i,SV647: $i,SV250: $i] :
( ( ! [SY3608: $i,SY3609: $i,SY3610: $i] :
( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SV647 @ SV974 @ SV1202 ) @ ( c_List_Olist_OCons @ SY3608 @ SY3609 @ SY3610 ) @ SV1202 @ SY3610 )
| ~ ( c_List_Olist__all2 @ SV250 @ SV974 @ SY3609 @ SV1202 @ SY3610 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SV647 ) @ SY3608 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2599]) ).
thf(2932,plain,
! [SV1203: $i,SV975: $i,SV648: $i,SV251: $i] :
( ( ! [SY3611: $i,SY3612: $i,SY3613: $i] :
( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SV648 @ SV975 @ SV1203 ) @ ( c_List_Olist_OCons @ SY3611 @ SY3612 @ SY3613 ) @ SV1203 @ SY3613 )
| ~ ( c_List_Olist__all2 @ SV251 @ SV975 @ SY3612 @ SV1203 @ SY3613 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SV648 ) @ SY3611 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2600]) ).
thf(2933,plain,
! [SV1204: $i,SV976: $i,SV649: $i,SV252: $i] :
( ( ! [SY3614: $i,SY3615: $i,SY3616: $i] :
( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SV649 @ SV976 @ SV1204 ) @ ( c_List_Olist_OCons @ SY3614 @ SY3615 @ SY3616 ) @ SV1204 @ SY3616 )
| ~ ( c_List_Olist__all2 @ SV252 @ SV976 @ SY3615 @ SV1204 @ SY3616 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SV649 ) @ SY3614 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2601]) ).
thf(2934,plain,
! [SV1205: $i,SV977: $i,SV650: $i,SV253: $i] :
( ( ( c_List_Olist__ex @ SV253 @ ( c_List_Olist_OCons @ SV650 @ SV977 @ SV1205 ) @ SV1205 )
| ~ ( c_List_Olist__ex @ SV253 @ SV977 @ SV1205 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2602]) ).
thf(2935,plain,
! [SV978: $i,SV651: $i,SV254: $i] :
( ( ( c_List_Olist__ex @ SV254 @ SV651 @ SV978 )
= $true )
| ( ( ! [SY3396: $i] :
( ( hBOOL @ ( hAPP @ SV254 @ SY3396 ) )
| ~ ( c_List_Olist__ex @ SV254 @ ( c_List_Olist_OCons @ SY3396 @ SV651 @ SV978 ) @ SV978 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2603]) ).
thf(2936,plain,
! [SV1206: $i,SV979: $i,SV652: $i,SV255: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV255 @ ( tc_List_Olist @ SV652 ) )
= ( c_Nat_Osize__class_Osize @ SV979 @ ( tc_List_Olist @ SV1206 ) ) )
| ! [SY3617: $i] :
~ ( c_List_Olist__all2 @ SY3617 @ SV255 @ SV979 @ SV652 @ SV1206 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2604]) ).
thf(2937,plain,
! [SV980: $i,SV653: $i,SV256: $i] :
( ( ( ! [SY3399: $i] :
( ( c_List_Ofilter @ SV256 @ ( c_List_Oreplicate @ SV653 @ SV980 @ SY3399 ) @ SY3399 )
= ( c_List_Oreplicate @ SV653 @ SV980 @ SY3399 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV256 @ SV980 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2605]) ).
thf(2938,plain,
! [SV1207: $i,SV981: $i,SV654: $i,SV257: $i] :
( ( ! [SY3618: $i,SY3619: $i] :
( ( c_List_Olistrelp @ SV257 @ ( c_List_Olist_OCons @ SV654 @ SV981 @ SV1207 ) @ ( c_List_Olist_OCons @ SY3618 @ SY3619 @ SV1207 ) @ SV1207 )
| ~ ( c_List_Olistrelp @ SV257 @ SV981 @ SY3619 @ SV1207 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV257 @ SV654 ) @ SY3618 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2606]) ).
thf(2939,plain,
! [SV1208: $i,SV655: $i,SV258: $i] :
( ( ( ! [SY3620: $i] :
( ( c_List_Oremove1 @ SV258 @ ( c_List_Olist_OCons @ SV655 @ SV1208 @ SY3620 ) @ SY3620 )
= ( c_List_Olist_OCons @ SV655 @ ( c_List_Oremove1 @ SV258 @ SV1208 @ SY3620 ) @ SY3620 ) ) )
= $true )
| ( ( SV258 = SV655 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2607]) ).
thf(2940,plain,
! [SV982: $i,SV656: $i,SV259: $i] :
( ( ( c_List_Odistinct @ ( c_List_Osublist @ SV259 @ SV656 @ SV982 ) @ SV982 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV259 @ SV982 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2608]) ).
thf(2941,plain,
! [SV1209: $i,SV983: $i,SV657: $i,SV260: $i] :
( ( ! [SY3621: $i] :
( ( ( c_List_Omap @ SV260 @ SV657 @ SV983 @ SV1209 )
!= ( c_List_Omap @ SV260 @ SY3621 @ SV983 @ SV1209 ) )
| ( ( c_Nat_Osize__class_Osize @ SV657 @ ( tc_List_Olist @ SV983 ) )
= ( c_Nat_Osize__class_Osize @ SY3621 @ ( tc_List_Olist @ SV983 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2609]) ).
thf(2942,plain,
! [SV1210: $i,SV984: $i,SV658: $i,SV261: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV261 @ ( tc_List_Olist @ SV658 ) )
!= ( c_Nat_Osize__class_Osize @ SV984 @ ( tc_List_Olist @ SV1210 ) ) )
| ! [SY3622: $i,SY3623: $i] :
( ( c_Map_Omap__upds @ SY3622 @ ( c_List_Oappend @ SV261 @ SY3623 @ SV658 ) @ SV984 @ SV658 @ SV1210 )
= ( c_Map_Omap__upds @ SY3622 @ SV261 @ SV984 @ SV658 @ SV1210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2610]) ).
thf(2943,plain,
! [SV1211: $i,SV985: $i,SV659: $i,SV262: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV262 @ ( tc_List_Olist @ SV659 ) )
!= ( c_Nat_Osize__class_Osize @ SV985 @ ( tc_List_Olist @ SV1211 ) ) )
| ! [SY3624: $i,SY3625: $i] :
( ( c_Map_Omap__upds @ SY3624 @ SV262 @ ( c_List_Oappend @ SV985 @ SY3625 @ SV1211 ) @ SV659 @ SV1211 )
= ( c_Map_Omap__upds @ SY3624 @ SV262 @ SV985 @ SV659 @ SV1211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2611]) ).
thf(2944,plain,
! [SV986: $i,SV660: $i,SV263: $i] :
( ( ( SV263
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV263 @ ( tc_List_Olist @ SV660 ) ) @ SV986 @ SV660 ) )
= $true )
| ( ( ( c_List_Oappend @ SV263 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV263 @ ( tc_List_Olist @ SV660 ) ) @ SV986 @ SV660 ) @ SV660 )
= SV986 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2612]) ).
thf(2945,plain,
! [SV987: $i,SV661: $i,SV264: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV264 @ SV661 @ SV987 ) @ SV987 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV661 @ SV987 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2613]) ).
thf(2946,plain,
! [SV1212: $i,SV988: $i,SV662: $i,SV265: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV265 @ SV662 )
!= ( c_Event_Oevent_OGets @ SV988 @ SV1212 ) )
| ( SV662 = SV1212 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2614]) ).
thf(2947,plain,
! [SV989: $i,SV663: $i,SV266: $i] :
( ( ( ! [SY3412: $i] :
( ( c_Event_Oevent_OGets @ SV266 @ SV663 )
!= ( c_Event_Oevent_OGets @ SV989 @ SY3412 ) ) )
= $true )
| ( ( SV266 = SV989 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2615]) ).
thf(2948,plain,
! [SV1213: $i,SV990: $i,SV664: $i,SV267: $i] :
( ( ! [SY3626: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SV664 ) )
!= ( c_Nat_Osize__class_Osize @ SV990 @ ( tc_List_Olist @ SV1213 ) ) )
| ( c_List_Olist__all2 @ SY3626 @ SV267 @ SV990 @ SV664 @ SV1213 )
| ! [SY3627: $i,SY3628: $i] :
~ ( c_List_Olist__all2 @ SY3626 @ ( c_List_Oappend @ SV267 @ SY3627 @ SV664 ) @ ( c_List_Oappend @ SV990 @ SY3628 @ SV1213 ) @ SV664 @ SV1213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2616]) ).
thf(2949,plain,
! [SV1214: $i,SV991: $i,SV665: $i,SV268: $i] :
( ( ! [SY3629: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SV665 ) )
!= ( c_Nat_Osize__class_Osize @ SV991 @ ( tc_List_Olist @ SV1214 ) ) )
| ! [SY3630: $i,SY3631: $i] :
( ( c_List_Olist__all2 @ SY3629 @ SY3630 @ SY3631 @ SV665 @ SV1214 )
| ~ ( c_List_Olist__all2 @ SY3629 @ ( c_List_Oappend @ SV268 @ SY3630 @ SV665 ) @ ( c_List_Oappend @ SV991 @ SY3631 @ SV1214 ) @ SV665 @ SV1214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2617]) ).
thf(2950,plain,
! [SV1215: $i,SV666: $i,SV269: $i] :
( ( ( ! [SY3632: $i] :
( ( c_List_OdropWhile @ SV269 @ ( c_List_Olist_OCons @ SV666 @ SV1215 @ SY3632 ) @ SY3632 )
= ( c_List_OdropWhile @ SV269 @ SV1215 @ SY3632 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV269 @ SV666 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2618]) ).
thf(2951,plain,
! [SV993: $i,SV669: $i,SV272: $i] :
( ( ( ( c_List_Olast @ ( c_List_Oappend @ SV272 @ SV669 @ SV993 ) @ SV993 )
= ( c_List_Olast @ SV669 @ SV993 ) )
= $true )
| ( ( SV669
= ( c_List_Olist_ONil @ SV993 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2620]) ).
thf(2952,plain,
! [SV1216: $i,SV670: $i,SV273: $i] :
( ( ( ! [SY3633: $i] :
( ( c_List_OdropWhile @ SV273 @ ( c_List_Olist_OCons @ SV670 @ SV1216 @ SY3633 ) @ SY3633 )
= ( c_List_Olist_OCons @ SV670 @ SV1216 @ SY3633 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV273 @ SV670 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2621]) ).
thf(2953,plain,
! [SV1217: $i,SV994: $i,SV671: $i,SV274: $i] :
( ( ! [SY3634: $i] :
( ( c_List_Omap @ SV274 @ ( c_List_Oappend @ SV671 @ SV994 @ SV1217 ) @ SV1217 @ SY3634 )
= ( c_List_Oappend @ ( c_List_Omap @ SV274 @ SV671 @ SV1217 @ SY3634 ) @ ( c_List_Omap @ SV274 @ SV994 @ SV1217 @ SY3634 ) @ SY3634 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2622]) ).
thf(2954,plain,
! [SV1218: $i,SV672: $i,SV275: $i] :
( ( ( ! [SY3635: $i] :
~ ( hBOOL @ ( hAPP @ SV275 @ ( c_Message_Oagent_Oagent__case @ SV672 @ SV1218 @ SY3635 @ c_Message_Oagent_OServer @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV275 @ SV672 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2623]) ).
thf(2955,plain,
! [SV1219: $i,SV995: $i,SV673: $i,SV276: $i] :
( ( ( c_List_Oappend @ ( c_List_Oreplicate @ SV276 @ SV673 @ SV995 ) @ ( c_List_Oreplicate @ SV1219 @ SV673 @ SV995 ) @ SV995 )
= ( c_List_Oappend @ ( c_List_Oreplicate @ SV1219 @ SV673 @ SV995 ) @ ( c_List_Oreplicate @ SV276 @ SV673 @ SV995 ) @ SV995 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2624]) ).
thf(2956,plain,
! [SV1220: $i,SV996: $i,SV674: $i,SV277: $i] :
( ( ! [SY3636: $i,SY3637: $i] :
( ( c_List_Olist__all2 @ SV277 @ ( c_List_Odrop @ SV674 @ SV996 @ SV1220 ) @ ( c_List_Odrop @ SV674 @ SY3636 @ SY3637 ) @ SV1220 @ SY3637 )
| ~ ( c_List_Olist__all2 @ SV277 @ SV996 @ SY3636 @ SV1220 @ SY3637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2625]) ).
thf(2957,plain,
! [SV1221: $i,SV676: $i,SV279: $i] :
( ( ( ! [SY3638: $i] :
( ( c_List_Oremove1 @ SV279 @ ( c_List_Ofilter @ SV676 @ SV1221 @ SY3638 ) @ SY3638 )
= ( c_List_Ofilter @ SV676 @ SV1221 @ SY3638 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV676 @ SV279 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2626]) ).
thf(2958,plain,
! [SV997: $i,SV677: $i,SV280: $i] :
( ( ( ! [SY3427: $i] :
( ( c_List_Ofilter @ SV280 @ ( c_List_Oreplicate @ SV677 @ SV997 @ SY3427 ) @ SY3427 )
= ( c_List_Olist_ONil @ SY3427 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV280 @ SV997 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2627]) ).
thf(2959,plain,
! [SV1222: $i,SV998: $i,SV678: $i,SV281: $i] :
( ( ! [SY3639: $i,SY3640: $i] :
( ( c_List_Olist_Olist__rec @ SV281 @ SV678 @ ( c_List_Olist_OCons @ SV998 @ SV1222 @ SY3639 ) @ SY3640 @ SY3639 )
= ( hAPP @ ( hAPP @ ( hAPP @ SV678 @ SV998 ) @ SV1222 ) @ ( c_List_Olist_Olist__rec @ SV281 @ SV678 @ SV1222 @ SY3640 @ SY3639 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2628]) ).
thf(2960,plain,
! [SV680: $i,SV283: $i,SV1223: $i] :
( ( ( ! [SY3641: $i] :
~ ( c_List_Odistinct @ ( c_List_Omap @ SV1223 @ SV283 @ SV680 @ SY3641 ) @ SY3641 ) )
= $true )
| ( ( c_List_Odistinct @ SV283 @ SV680 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(2961,plain,
! [SV683: $i,SV286: $i,SV1224: $i] :
( ( ( ~ ( c_List_Odistinct @ ( c_List_Orotate @ SV1224 @ SV286 @ SV683 ) @ SV683 ) )
= $true )
| ( ( c_List_Odistinct @ SV286 @ SV683 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2631]) ).
thf(2962,plain,
! [SV1000: $i,SV684: $i,SV287: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate @ SV287 @ SV684 @ SV1000 ) @ SV1000 )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV684 @ SV1000 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2632]) ).
thf(2963,plain,
! [SV1225: $i,SV1001: $i,SV685: $i,SV288: $i] :
( ( ( c_List_Olistsp @ SV288 @ ( c_List_Oappend @ SV685 @ SV1001 @ SV1225 ) @ SV1225 )
| ~ ( c_List_Olistsp @ SV288 @ SV1001 @ SV1225 )
| ~ ( c_List_Olistsp @ SV288 @ SV685 @ SV1225 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2633]) ).
thf(2964,plain,
! [SV1226: $i,SV1003: $i,SV687: $i,SV290: $i] :
( ( ! [SY3642: $i] :
( ~ ( hBOOL @ ( hAPP @ SV290 @ ( c_Message_Oagent_Oagent__case @ SV687 @ SV1003 @ SV1226 @ ( c_Message_Oagent_OFriend @ SY3642 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV290 @ ( hAPP @ SV1003 @ SY3642 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2635]) ).
thf(2965,plain,
! [SV1227: $i,SV1004: $i,SV688: $i,SV291: $i] :
( ( ! [SY3643: $i] :
( ~ ( hBOOL @ ( hAPP @ SV291 @ ( c_Message_Oagent_Oagent__case @ SV688 @ SV1004 @ SV1227 @ ( c_Message_Oagent_OFriend @ SY3643 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV291 @ ( hAPP @ SV1004 @ SY3643 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2636]) ).
thf(2966,plain,
! [SV1005: $i,SV689: $i,SV292: $i] :
( ( c_List_Onull @ ( c_List_Olist_OCons @ SV292 @ SV689 @ SV1005 ) @ SV1005 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2637]) ).
thf(2967,plain,
! [SV1228: $i,SV1006: $i,SV690: $i,SV293: $i] :
( ( ! [SY3644: $i,SY3645: $i] :
( ( c_List_Ofoldr @ SV293 @ ( c_List_Olist_OCons @ SV690 @ SV1006 @ SV1228 ) @ SY3644 @ SV1228 @ SY3645 )
= ( hAPP @ ( hAPP @ SV293 @ SV690 ) @ ( c_List_Ofoldr @ SV293 @ SV1006 @ SY3644 @ SV1228 @ SY3645 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2638]) ).
thf(2968,plain,
! [SV1229: $i,SV1008: $i,SV692: $i,SV295: $i] :
( ( ! [SY3646: $i] :
( ( c_Message_Oagent_Oagent__rec @ SV295 @ SV692 @ SV1008 @ ( c_Message_Oagent_OFriend @ SV1229 ) @ SY3646 )
= ( hAPP @ SV692 @ SV1229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2640]) ).
thf(2969,plain,
! [SV1230: $i,SV1009: $i,SV693: $i,SV296: $i] :
( ( ! [SY3647: $i] :
( ( c_List_Olist__update @ ( c_List_Oappend @ SV296 @ ( c_List_Olist_OCons @ SV693 @ SV1009 @ SV1230 ) @ SV1230 ) @ ( c_Nat_Osize__class_Osize @ SV296 @ ( tc_List_Olist @ SV1230 ) ) @ SY3647 @ SV1230 )
= ( c_List_Oappend @ SV296 @ ( c_List_Olist_OCons @ SY3647 @ SV1009 @ SV1230 ) @ SV1230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2641]) ).
thf(2970,plain,
! [SV1231: $i,SV1011: $i,SV696: $i,SV299: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
!= SV1231 )
| ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 )
!= SV299 )
| ( SV1011
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) )
| ( ( c_List_Oappend @ SV1011 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= ( c_List_Oappend @ SV299 @ SV1231 @ SV696 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2643]) ).
thf(2971,plain,
! [SV1232: $i,SV1012: $i,SV697: $i,SV300: $i] :
( ( ! [SY3648: $i] :
( ( c_List_Olist_OCons @ SV300 @ SV697 @ SV1012 )
!= ( c_List_Olist_OCons @ SV1232 @ SY3648 @ SV1012 ) )
| ( SV300 = SV1232 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2644]) ).
thf(2972,plain,
! [SV1233: $i,SV1013: $i,SV698: $i,SV301: $i] :
( ( ! [SY3649: $i] :
( ( ( c_List_Olist_OCons @ SV301 @ SV698 @ SV1013 )
!= ( c_List_Olist_OCons @ SV1233 @ SY3649 @ SV1013 ) )
| ( SV698 = SY3649 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2645]) ).
thf(2973,plain,
! [SV302: $i,SV1234: $i] :
( ( ( ( c_List_Olinorder__class_Osorted @ SV1234 @ SV302 )
| ! [SY3650: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1234 @ SY3650 @ SV302 ) @ SV302 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV302 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2646]) ).
thf(2974,plain,
! [SV303: $i,SV1235: $i] :
( ( ( ( c_List_Olinorder__class_Osorted @ SV1235 @ SV303 )
| ! [SY3651: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY3651 @ SV1235 @ SV303 ) @ SV303 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV303 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2647]) ).
thf(2975,plain,
! [SV1236: $i,SV1014: $i,SV699: $i,SV304: $i] :
( ( ( c_List_Olist__all @ SV304 @ ( c_List_Olist_OCons @ SV699 @ SV1014 @ SV1236 ) @ SV1236 )
| ~ ( c_List_Olist__all @ SV304 @ SV1014 @ SV1236 )
| ~ ( hBOOL @ ( hAPP @ SV304 @ SV699 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2648]) ).
thf(2976,plain,
! [SV1237: $i,SV1015: $i,SV700: $i,SV305: $i] :
( ( ! [SY3652: $i] :
( ! [SY3653: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SV700 @ SV1015 @ SV1237 ) @ SY3652 @ SY3653 @ SV1237 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SY3652 @ SY3653 @ SV1237 ) @ SV700 @ SV1015 @ SV1237 ) )
| ( SV700 = SY3652 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2649]) ).
thf(2977,plain,
! [SV306: $i,SV1238: $i] :
( ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV1238 @ SV306 ) @ SV306 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1238 @ SV306 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV306 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2650]) ).
thf(2978,plain,
! [SV1239: $i,SV1016: $i,SV701: $i,SV307: $i] :
( ( ( c_List_Oappend @ ( c_List_Oreplicate @ SV307 @ SV701 @ SV1016 ) @ ( c_List_Olist_OCons @ SV701 @ SV1239 @ SV1016 ) @ SV1016 )
= ( c_List_Olist_OCons @ SV701 @ ( c_List_Oappend @ ( c_List_Oreplicate @ SV307 @ SV701 @ SV1016 ) @ SV1239 @ SV1016 ) @ SV1016 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2651]) ).
thf(2979,plain,
! [SV1240: $i,SV1017: $i,SV702: $i,SV308: $i] :
( ( ! [SY3654: $i] :
( ( c_List_Odrop @ SV308 @ ( c_List_Omap @ SV702 @ SV1017 @ SV1240 @ SY3654 ) @ SY3654 )
= ( c_List_Omap @ SV702 @ ( c_List_Odrop @ SV308 @ SV1017 @ SV1240 ) @ SV1240 @ SY3654 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2652]) ).
thf(2980,plain,
! [SV1241: $i,SV1018: $i,SV704: $i,SV310: $i] :
( ( ( c_Message_Oagent_Oagent__rec @ SV310 @ SV704 @ SV1018 @ c_Message_Oagent_OServer @ SV1241 )
= SV310 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2653]) ).
thf(2981,plain,
! [SV1242: $i,SV705: $i,SV311: $i] :
( ( ( ! [SY3655: $i] :
( ( c_List_Ofilter @ SV311 @ ( c_List_Olist_OCons @ SV705 @ SV1242 @ SY3655 ) @ SY3655 )
= ( c_List_Ofilter @ SV311 @ SV1242 @ SY3655 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV311 @ SV705 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2654]) ).
thf(2982,plain,
! [SV1243: $i,SV1020: $i,SV708: $i,SV314: $i] :
( ( ! [SY3656: $i] :
( ( c_List_Oappend @ SV314 @ ( c_List_Olist_OCons @ SV708 @ ( c_List_Olist_ONil @ SV1020 ) @ SV1020 ) @ SV1020 )
!= ( c_List_Oappend @ SV1243 @ ( c_List_Olist_OCons @ SY3656 @ ( c_List_Olist_ONil @ SV1020 ) @ SV1020 ) @ SV1020 ) )
| ( SV314 = SV1243 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2656]) ).
thf(2983,plain,
! [SV1244: $i,SV1021: $i,SV709: $i,SV315: $i] :
( ( ! [SY3657: $i] :
( ( ( c_List_Oappend @ SV315 @ ( c_List_Olist_OCons @ SV709 @ ( c_List_Olist_ONil @ SV1021 ) @ SV1021 ) @ SV1021 )
!= ( c_List_Oappend @ SV1244 @ ( c_List_Olist_OCons @ SY3657 @ ( c_List_Olist_ONil @ SV1021 ) @ SV1021 ) @ SV1021 ) )
| ( SV709 = SY3657 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2657]) ).
thf(2984,plain,
! [SV1022: $i,SV710: $i,SV316: $i] :
( ( ( c_List_Olist__all @ SV316 @ SV710 @ SV1022 )
= $true )
| ( ( ! [SY3460: $i] :
~ ( c_List_Olist__all @ SV316 @ ( c_List_Oappend @ SV710 @ SY3460 @ SV1022 ) @ SV1022 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2658]) ).
thf(2985,plain,
! [SV1023: $i,SV711: $i,SV317: $i] :
( ( ( c_List_Olist__all @ SV317 @ SV711 @ SV1023 )
= $true )
| ( ( ! [SY3461: $i] :
~ ( c_List_Olist__all @ SV317 @ ( c_List_Oappend @ SY3461 @ SV711 @ SV1023 ) @ SV1023 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2659]) ).
thf(2986,plain,
! [SV1245: $i,SV1025: $i,SV713: $i,SV319: $i] :
( ( ! [SY3658: $i] :
( ~ ( hBOOL @ ( hAPP @ SV319 @ ( c_List_Olist_Olist__case @ SV713 @ SV1025 @ ( c_List_Olist_OCons @ SV1245 @ SY3658 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV319 @ ( hAPP @ ( hAPP @ SV1025 @ SV1245 ) @ SY3658 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2661]) ).
thf(2987,plain,
! [SV1246: $i,SV1026: $i,SV714: $i,SV320: $i] :
( ( ! [SY3659: $i] :
( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_List_Olist_Olist__case @ SV714 @ SV1026 @ ( c_List_Olist_OCons @ SV1246 @ SY3659 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV320 @ ( hAPP @ ( hAPP @ SV1026 @ SV1246 ) @ SY3659 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2662]) ).
thf(2988,plain,
! [SV321: $i,SV1247: $i] :
( ( ( ! [SY3660: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV1247 @ SY3660 @ SV321 ) @ SV321 )
| ~ ( c_List_Olinorder__class_Osorted @ SY3660 @ SV321 ) ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV321 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2663]) ).
thf(2989,plain,
! [SV1248: $i,SV1027: $i,SV715: $i,SV322: $i] :
( ( ! [SY3661: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV322 @ SV715 @ SV1027 @ SV1248 ) @ SV715 @ SY3661 @ SV1248 )
= ( c_List_Olist__update @ SV322 @ SV715 @ SY3661 @ SV1248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2664]) ).
thf(2990,plain,
! [SV1249: $i,SV1028: $i,SV716: $i,SV323: $i] :
( ( ( c_List_Oappend @ ( c_List_Oappend @ SV323 @ SV716 @ SV1028 ) @ SV1249 @ SV1028 )
= ( c_List_Oappend @ SV323 @ ( c_List_Oappend @ SV716 @ SV1249 @ SV1028 ) @ SV1028 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2665]) ).
thf(2991,plain,
! [SV1250: $i,SV1029: $i,SV717: $i,SV324: $i] :
( ( ( c_List_Oappend @ SV324 @ ( c_List_Oappend @ SV717 @ SV1029 @ SV1250 ) @ SV1250 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV324 @ SV717 @ SV1250 ) @ SV1029 @ SV1250 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2666]) ).
thf(2992,plain,
! [SV1251: $i,SV1030: $i,SV718: $i,SV325: $i] :
( ( ( c_List_Oappend @ ( c_List_Oappend @ SV325 @ SV718 @ SV1030 ) @ SV1251 @ SV1030 )
= ( c_List_Oappend @ SV325 @ ( c_List_Oappend @ SV718 @ SV1251 @ SV1030 ) @ SV1030 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2667]) ).
thf(2993,plain,
! [SV1252: $i,SV1031: $i,SV719: $i,SV326: $i] :
( ( ( c_List_Oappend @ SV326 @ ( c_List_Oappend @ SV719 @ SV1031 @ SV1252 ) @ SV1252 )
= ( c_List_Oappend @ ( c_List_Oappend @ SV326 @ SV719 @ SV1252 ) @ SV1031 @ SV1252 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2668]) ).
thf(2994,plain,
! [SV328: $i,SV1253: $i] :
( ( ( ! [SY3662: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV1253 @ SY3662 @ SV328 ) @ SV328 )
| ~ ( c_List_Olinorder__class_Osorted @ SY3662 @ SV328 ) ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV328 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2669]) ).
thf(2995,plain,
! [SV1254: $i,SV1032: $i,SV721: $i,SV329: $i] :
( ( ( c_List_Ofoldl @ SV329 @ SV721 @ ( c_List_Olist_ONil @ SV1032 ) @ SV1254 @ SV1032 )
= SV721 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2670]) ).
thf(2996,plain,
! [SV1033: $i,SV330: $i] :
( ( ( hBOOL @ ( hAPP @ SV330 @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV330 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV330 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV330 @ SV1033 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2671]) ).
thf(2997,plain,
! [SV1255: $i,SV1034: $i,SV723: $i,SV333: $i] :
( ( ( ( c_List_Olist_ONil @ SV333 )
!= ( c_List_Omap @ SV723 @ SV1034 @ SV1255 @ SV333 ) )
| ( SV1034
= ( c_List_Olist_ONil @ SV1255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2672]) ).
thf(2998,plain,
! [SV1035: $i,SV334: $i] :
( ( ( hBOOL @ ( hAPP @ SV334 @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV334 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV334 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV334 @ SV1035 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2673]) ).
thf(2999,plain,
! [SV731: $i,SV342: $i] :
( ( ( ( c_List_Orotate1 @ SV342 @ SV731 )
= ( c_List_Olist_ONil @ SV731 ) )
= $false )
| ( ( SV342
= ( c_List_Olist_ONil @ SV731 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2674]) ).
thf(3000,plain,
! [SV1036: $i,SV343: $i] :
( ( ( hBOOL @ ( hAPP @ SV343 @ ( v_sko__List__Xlast__Xinduct__2 @ SV343 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV343 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV343 @ SV1036 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2675]) ).
thf(3001,plain,
! [SV1037: $i,SV345: $i] :
( ( ( hBOOL @ ( hAPP @ SV345 @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV345 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV345 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV345 @ SV1037 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2676]) ).
thf(3002,plain,
! [SV1038: $i,SV347: $i] :
( ( ( hBOOL @ ( hAPP @ SV347 @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV347 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV347 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV347 @ SV1038 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2677]) ).
thf(3003,plain,
! [SV1039: $i,SV348: $i] :
( ( ( hBOOL @ ( hAPP @ SV348 @ ( v_sko__List__Xfoldl__Xinduct__2 @ SV348 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV348 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV348 @ SV1039 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2678]) ).
thf(3004,plain,
! [SV1256: $i,SV736: $i,SV353: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV353 @ ( c_List_Olist_Olist__case @ SV736 @ SV1256 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV353 @ SV736 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2680]) ).
thf(3005,plain,
! [SV1257: $i,SV1040: $i,SV737: $i,SV354: $i] :
( ( ( c_List_Ofoldr @ SV354 @ ( c_List_Olist_ONil @ SV737 ) @ SV1040 @ SV737 @ SV1257 )
= SV1040 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2681]) ).
thf(3006,plain,
! [SV1041: $i,SV355: $i] :
( ( ( hBOOL @ ( hAPP @ SV355 @ ( v_sko__List__Xzip__Xinduct__2 @ SV355 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV355 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV355 @ SV1041 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2682]) ).
thf(3007,plain,
! [SV1043: $i,SV358: $i] :
( ( ( hBOOL @ ( hAPP @ SV358 @ ( v_sko__List__Xlistset__Xinduct__2 @ SV358 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV358 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV358 @ SV1043 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2684]) ).
thf(3008,plain,
! [SV1258: $i,SV1044: $i,SV740: $i,SV359: $i] :
( ( ( c_List_Olist_Olist__rec @ SV359 @ SV740 @ ( c_List_Olist_ONil @ SV1044 ) @ SV1258 @ SV1044 )
= SV359 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2685]) ).
thf(3009,plain,
! [SV1045: $i,SV360: $i] :
( ( ( hBOOL @ ( hAPP @ SV360 @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV360 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV360 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV360 @ SV1045 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2686]) ).
thf(3010,plain,
! [SV1046: $i,SV361: $i] :
( ( ( hBOOL @ ( hAPP @ SV361 @ ( v_sko__List__Xtake__Xinduct__2 @ SV361 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV361 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV361 @ SV1046 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2687]) ).
thf(3011,plain,
! [SV742: $i,SV364: $i] :
( ( ( ( c_List_Olist_ONil @ SV364 )
= ( c_List_Oremdups @ SV742 @ SV364 ) )
= $false )
| ( ( SV742
= ( c_List_Olist_ONil @ SV364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2690]) ).
thf(3012,plain,
! [SV1051: $i,SV369: $i] :
( ( ( hBOOL @ ( hAPP @ SV369 @ ( v_sko__List__Xconcat__Xinduct__2 @ SV369 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV369 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV369 @ SV1051 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2694]) ).
thf(3013,plain,
! [SV1052: $i,SV747: $i,SV370: $i] :
( ( ( c_List_Olist_OCons @ SV370 @ SV747 @ SV1052 )
= ( c_List_Olist_ONil @ SV1052 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2695]) ).
thf(3014,plain,
! [SV1053: $i,SV748: $i,SV371: $i] :
( ( ( c_List_Olist_OCons @ SV371 @ SV748 @ SV1053 )
= ( c_List_Olist_ONil @ SV1053 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2696]) ).
thf(3015,plain,
! [SV1054: $i,SV373: $i] :
( ( ( hBOOL @ ( hAPP @ SV373 @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV373 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV373 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV373 @ SV1054 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2697]) ).
thf(3016,plain,
! [SV1259: $i,SV1055: $i,SV750: $i,SV374: $i] :
( ( ( c_Map_Omap__upds @ SV374 @ SV750 @ ( c_List_Olist_ONil @ SV1055 ) @ SV1259 @ SV1055 )
= SV374 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2698]) ).
thf(3017,plain,
! [SV1260: $i,SV1056: $i,SV751: $i,SV375: $i] :
( ( ( c_Map_Omap__upds @ SV375 @ ( c_List_Olist_ONil @ SV751 ) @ SV1056 @ SV751 @ SV1260 )
= SV375 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2699]) ).
thf(3018,plain,
! [SV1057: $i,SV376: $i] :
( ( ( hBOOL @ ( hAPP @ SV376 @ ( v_sko__List__Xremove1__Xinduct__2 @ SV376 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV376 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV376 @ SV1057 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2700]) ).
thf(3019,plain,
! [SV1261: $i,SV1058: $i,SV752: $i,SV377: $i] :
( ( ( c_List_Olist_Olist__case @ SV377 @ SV752 @ ( c_List_Olist_ONil @ SV1058 ) @ SV1261 @ SV1058 )
= SV377 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2701]) ).
thf(3020,plain,
! [SV1059: $i,SV379: $i] :
( ( ( hBOOL @ ( hAPP @ SV379 @ ( v_sko__List__Xlist__Xinduct__2 @ SV379 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV379 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV379 @ SV1059 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2702]) ).
thf(3021,plain,
! [SV1061: $i,SV383: $i] :
( ( ( hBOOL @ ( hAPP @ SV383 @ ( v_sko__List__Xmap__Xinduct__2 @ SV383 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV383 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV383 @ SV1061 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2704]) ).
thf(3022,plain,
! [SV1262: $i,SV1062: $i,SV756: $i,SV384: $i] :
( ( ( ( c_List_Olist__update @ SV384 @ SV756 @ SV1062 @ SV1262 )
!= ( c_List_Olist_ONil @ SV1262 ) )
| ( SV384
= ( c_List_Olist_ONil @ SV1262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2705]) ).
thf(3023,plain,
! [SV1263: $i,SV1064: $i,SV760: $i,SV388: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV388 ) @ SV760 )
!= ( c_List_Olist_OCons @ SV1064 @ SV1263 @ SV388 ) )
| ( SV760
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV388 ) @ SV1263 ) @ ( c_List_Olist_OCons @ SV1064 @ ( c_List_Olist_ONil @ SV388 ) @ SV388 ) @ SV388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2709]) ).
thf(3024,plain,
! [SV1264: $i,SV1066: $i,SV762: $i,SV390: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV390 @ SV762 @ SV1066 @ c_Message_Oagent_OSpy @ SV1264 )
= SV1066 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2711]) ).
thf(3025,plain,
! [SV1265: $i,SV1067: $i,SV763: $i,SV392: $i] :
( ( ( c_Message_Oagent_Oagent__rec @ SV392 @ SV763 @ SV1067 @ c_Message_Oagent_OSpy @ SV1265 )
= SV1067 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2712]) ).
thf(3026,plain,
! [SV1266: $i,SV1068: $i,SV764: $i,SV393: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV393 @ ( c_Message_Oagent_Oagent__case @ SV764 @ SV1068 @ SV1266 @ c_Message_Oagent_OSpy @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV393 @ SV1266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2713]) ).
thf(3027,plain,
! [SV1071: $i,SV768: $i,SV398: $i] :
( ( ( c_List_Olist__all @ SV398 @ ( hAPP @ ( c_List_Orev @ SV768 ) @ SV1071 ) @ SV768 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV398 @ SV1071 @ SV768 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2716]) ).
thf(3028,plain,
! [SV1072: $i,SV769: $i,SV399: $i] :
( ( ( c_List_Olist__all @ SV399 @ SV769 @ SV1072 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV399 @ ( hAPP @ ( c_List_Orev @ SV1072 ) @ SV769 ) @ SV1072 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2717]) ).
thf(3029,plain,
! [SV1267: $i,SV400: $i] :
( ( ( ( c_List_Olistsum @ ( hAPP @ ( c_List_Orev @ SV400 ) @ SV1267 ) @ SV400 )
= ( c_List_Olistsum @ SV1267 @ SV400 ) )
= $true )
| ( ( class_OrderedGroup_Ocomm__monoid__add @ SV400 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2718]) ).
thf(3030,plain,
! [SV1268: $i,SV1074: $i,SV772: $i,SV403: $i] :
( ( ! [SY3663: $i] :
( ( c_List_Olist__all2 @ SV403 @ ( hAPP @ ( c_List_Orev @ SV772 ) @ SV1074 ) @ ( hAPP @ ( c_List_Orev @ SV1268 ) @ SY3663 ) @ SV772 @ SV1268 )
| ~ ( c_List_Olist__all2 @ SV403 @ SV1074 @ SY3663 @ SV772 @ SV1268 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2720]) ).
thf(3031,plain,
! [SV1269: $i,SV1075: $i,SV773: $i,SV404: $i] :
( ( ! [SY3664: $i] :
( ( c_List_Olist__all2 @ SV404 @ SV773 @ SV1075 @ SV1269 @ SY3664 )
| ~ ( c_List_Olist__all2 @ SV404 @ ( hAPP @ ( c_List_Orev @ SV1269 ) @ SV773 ) @ ( hAPP @ ( c_List_Orev @ SY3664 ) @ SV1075 ) @ SV1269 @ SY3664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2721]) ).
thf(3032,plain,
! [SV1270: $i,SV1076: $i,SV774: $i,SV405: $i] :
( ( ( hAPP @ ( c_List_Orev @ SV405 ) @ ( c_List_Omap @ SV774 @ SV1076 @ SV1270 @ SV405 ) )
= ( c_List_Omap @ SV774 @ ( hAPP @ ( c_List_Orev @ SV1270 ) @ SV1076 ) @ SV1270 @ SV405 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2722]) ).
thf(3033,plain,
! [SV407: $i,SV776: $i] :
( ( ( c_List_Odistinct @ SV776 @ SV407 )
= $false )
| ( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV407 ) @ SV776 ) @ SV407 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2723]) ).
thf(3034,plain,
! [SV408: $i,SV777: $i] :
( ( ( c_List_Odistinct @ ( hAPP @ ( c_List_Orev @ SV777 ) @ SV408 ) @ SV777 )
= $false )
| ( ( c_List_Odistinct @ SV408 @ SV777 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2724]) ).
thf(3035,plain,
! [SV1271: $i,SV1078: $i,SV779: $i,SV410: $i] :
( ( ! [SY3665: $i] :
( ( c_List_Olist__all2 @ SV410 @ ( hAPP @ ( c_List_Orev @ SV779 ) @ SV1078 ) @ SV1271 @ SV779 @ SY3665 )
| ~ ( c_List_Olist__all2 @ SV410 @ SV1078 @ ( hAPP @ ( c_List_Orev @ SY3665 ) @ SV1271 ) @ SV779 @ SY3665 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2726]) ).
thf(3036,plain,
! [SV1272: $i,SV1079: $i,SV780: $i,SV411: $i] :
( ( ! [SY3666: $i] :
( ( c_List_Olist__all2 @ SV411 @ SV780 @ ( hAPP @ ( c_List_Orev @ SV1079 ) @ SV1272 ) @ SY3666 @ SV1079 )
| ~ ( c_List_Olist__all2 @ SV411 @ ( hAPP @ ( c_List_Orev @ SY3666 ) @ SV780 ) @ SV1272 @ SY3666 @ SV1079 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2727]) ).
thf(3037,plain,
! [SV1081: $i,SV782: $i,SV413: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV413 ) @ SV782 )
!= ( c_List_Olist_OCons @ SV1081 @ ( c_List_Olist_ONil @ SV413 ) @ SV413 ) )
= $true )
| ( ( SV782
= ( c_List_Olist_OCons @ SV1081 @ ( c_List_Olist_ONil @ SV413 ) @ SV413 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2729]) ).
thf(3038,plain,
! [SV1082: $i,SV783: $i,SV414: $i] :
( ( ( ( c_List_Olist_OCons @ SV414 @ ( c_List_Olist_ONil @ SV783 ) @ SV783 )
!= ( hAPP @ ( c_List_Orev @ SV783 ) @ SV1082 ) )
= $true )
| ( ( SV1082
= ( c_List_Olist_OCons @ SV414 @ ( c_List_Olist_ONil @ SV783 ) @ SV783 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2730]) ).
thf(3039,plain,
! [SV786: $i,SV419: $i] :
( ( ( ( c_List_Olist_ONil @ SV419 )
= ( hAPP @ ( c_List_Orev @ SV419 ) @ SV786 ) )
= $false )
| ( ( SV786
= ( c_List_Olist_ONil @ SV419 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2731]) ).
thf(3040,plain,
! [SV1083: $i,SV787: $i,SV420: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV420 ) @ SV787 )
!= ( hAPP @ ( c_List_Orev @ SV420 ) @ SV1083 ) )
= $true )
| ( ( SV787 = SV1083 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2732]) ).
thf(3041,plain,
! [SV791: $i,SV424: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV424 ) @ SV791 )
= ( c_List_Olist_ONil @ SV424 ) )
= $false )
| ( ( SV791
= ( c_List_Olist_ONil @ SV424 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2733]) ).
thf(3042,plain,
! [SV426: $i,SV792: $i] :
( ( ( class_Orderings_Opreorder @ SV792 )
= $false )
| ( ( class_Orderings_Opreorder @ ( tc_fun @ SV426 @ SV792 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2734]) ).
thf(3043,plain,
! [SV427: $i,SV793: $i] :
( ( ( class_Orderings_Oorder @ SV793 )
= $false )
| ( ( class_Orderings_Oorder @ ( tc_fun @ SV427 @ SV793 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2735]) ).
thf(3044,plain,
! [SV428: $i,SV794: $i] :
( ( ( class_HOL_Oord @ SV794 )
= $false )
| ( ( class_HOL_Oord @ ( tc_fun @ SV428 @ SV794 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2736]) ).
thf(3045,plain,
! [SV796: $i,SV430: $i,SV1273: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV1273 ) @ SV430 ) @ SV796 ) ) )
= $true )
| ( ( SV430 = SV796 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2737]) ).
thf(3046,plain,
! [SV1274: $i,SV1084: $i,SV797: $i,SV431: $i,SV1: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV1 @ SV431 ) @ ( c_Event_Oknows @ SV1 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV797 @ SV1084 @ SV1274 ) @ SV431 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2738]) ).
thf(3047,plain,
! [SV1275: $i,SV1085: $i,SV798: $i,SV432: $i,SV2: $i] :
( ( ( c_Event_Oevent_OGets @ SV2 @ SV432 )
!= ( c_Event_Oevent_OSays @ SV798 @ SV1085 @ SV1275 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2739]) ).
thf(3048,plain,
! [SV1276: $i,SV1086: $i,SV799: $i,SV433: $i,SV3: $i] :
( ( ( c_Event_Oevent_OSays @ SV3 @ SV433 @ SV799 )
!= ( c_Event_Oevent_OGets @ SV1086 @ SV1276 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2740]) ).
thf(3049,plain,
! [SV1277: $i,SV1088: $i,SV801: $i,SV435: $i,SV5: $i] :
( ( ! [SY3667: $i] :
( ( ( c_Event_Oevent_OSays @ SV5 @ SV435 @ SV801 )
!= ( c_Event_Oevent_OSays @ SV1088 @ SV1277 @ SY3667 ) )
| ( SV801 = SY3667 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2742]) ).
thf(3050,plain,
! [SV1278: $i,SV1089: $i,SV802: $i,SV436: $i,SV6: $i] :
( ( ! [SY3668: $i] :
( ( c_Event_Oevent_OSays @ SV6 @ SV436 @ SV802 )
!= ( c_Event_Oevent_OSays @ SV1089 @ SV1278 @ SY3668 ) )
| ( SV436 = SV1278 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2743]) ).
thf(3051,plain,
! [SV1090: $i,SV803: $i,SV437: $i,SV7: $i] :
( ( ( ! [SY3500: $i,SY3501: $i] :
( ( c_Event_Oevent_OSays @ SV7 @ SV437 @ SV803 )
!= ( c_Event_Oevent_OSays @ SV1090 @ SY3500 @ SY3501 ) ) )
= $true )
| ( ( SV7 = SV1090 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2744]) ).
thf(3052,plain,
! [SV806: $i,SV440: $i,SV10: $i] :
( ( ( ( c_List_Odrop @ SV10 @ SV440 @ SV806 )
= ( c_List_Olist_ONil @ SV806 ) )
= $false )
| ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV440 @ ( tc_List_Olist @ SV806 ) ) @ SV10 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2747]) ).
thf(3053,plain,
! [SV11: $i,SV807: $i,SV441: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV441 @ ( tc_List_Olist @ SV807 ) ) @ SV11 @ tc_nat )
= $false )
| ( ( ( c_List_Odrop @ SV11 @ SV441 @ SV807 )
= ( c_List_Olist_ONil @ SV807 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2748]) ).
thf(3054,plain,
! [SV1093: $i,SV808: $i,SV442: $i,SV12: $i] :
( ( ( ! [SY3502: $i] :
( ( c_List_Oappend @ SV12 @ SV442 @ SV808 )
!= ( c_List_Oappend @ SV1093 @ SY3502 @ SV808 ) ) )
= $true )
| ( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV808 ) ) @ SV12 @ SV808 )
= SV1093 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV12 @ ( tc_List_Olist @ SV808 ) ) @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV808 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2749]) ).
thf(3055,plain,
! [SV1095: $i,SV810: $i,SV444: $i,SV14: $i] :
( ( ( ! [SY3503: $i] :
( ( c_List_Oappend @ SV14 @ SV444 @ SV810 )
!= ( c_List_Oappend @ SV1095 @ SY3503 @ SV810 ) ) )
= $true )
| ( ( ( SV14
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ SV1095 @ SV810 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1095 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2751]) ).
thf(3056,plain,
! [SV1279: $i,SV1096: $i,SV811: $i,SV445: $i,SV15: $i] :
( ( ( ( c_List_Oappend @ SV15 @ SV445 @ SV811 )
!= ( c_List_Oappend @ SV1096 @ SV1279 @ SV811 ) )
| ( SV445
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ SV1096 @ SV811 ) @ SV1279 @ SV811 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ ( c_Nat_Osize__class_Osize @ SV1096 @ ( tc_List_Olist @ SV811 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2752]) ).
thf(3057,plain,
! [SV1280: $i,SV1097: $i,SV812: $i,SV446: $i,SV16: $i] :
( ( ( ( c_List_Oappend @ SV16 @ SV446 @ SV812 )
!= ( c_List_Oappend @ SV1097 @ SV1280 @ SV812 ) )
| ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1097 @ ( tc_List_Olist @ SV812 ) ) @ SV16 @ SV812 ) @ SV446 @ SV812 )
= SV1280 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV16 @ ( tc_List_Olist @ SV812 ) ) @ ( c_Nat_Osize__class_Osize @ SV1097 @ ( tc_List_Olist @ SV812 ) ) @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2753]) ).
thf(3058,plain,
! [SV1281: $i,SV1099: $i,SV814: $i,SV448: $i,SV18: $i] :
( ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Message_Oagent_Oagent__case @ SV448 @ SV814 @ SV1099 @ SV1281 @ t_a ) ) )
| ( SV1281 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV18 @ ( hAPP @ SV814 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV18 @ SV814 @ SV1281 ) ) ) )
| ( SV1281 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2755]) ).
thf(3059,plain,
! [SV1282: $i,SV1100: $i,SV815: $i,SV449: $i,SV19: $i] :
( ( ! [SY3669: $i] :
( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) )
!= ( hAPP @ SV815 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) ) )
| ( SV449 = c_Message_Oagent_OServer )
| ! [SY3670: $i,SY3671: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1282 @ SV19 @ SY3669 @ SV449 @ SV1100 )
= ( c_Message_Oagent_Oagent__case @ SY3670 @ SV815 @ SY3671 @ SV449 @ SV1100 ) )
| ( SV449 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2756]) ).
thf(3060,plain,
! [SV1283: $i,SV1101: $i,SV816: $i,SV450: $i,SV20: $i] :
( ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV816 @ SV1101 @ SV1283 @ t_a ) ) )
| ( SV1283 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV816 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV20 @ SV816 @ SV1283 ) ) ) )
| ( SV1283 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2757]) ).
thf(3061,plain,
! [SV1284: $i,SV1103: $i,SV818: $i,SV452: $i,SV22: $i] :
( ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV452 @ SV818 @ SV1103 @ SV1284 @ t_a ) ) )
| ( SV1284 = c_Message_Oagent_OSpy )
| ( SV1284
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV22 @ SV818 @ SV1284 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV452 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2759]) ).
thf(3062,plain,
! [SV1285: $i,SV1104: $i,SV819: $i,SV453: $i,SV23: $i] :
( ( ! [SY3672: $i] :
( ! [SY3673: $i] :
( ( c_Message_Oagent_Oagent__case @ SV23 @ SV453 @ SV819 @ SV1104 @ SV1285 )
= ( c_Message_Oagent_Oagent__case @ SV23 @ SY3672 @ SY3673 @ SV1104 @ SV1285 ) )
| ( SV1104 = c_Message_Oagent_OSpy )
| ( SV1104
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1104 @ SV453 @ SY3672 @ SV1285 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2760]) ).
thf(3063,plain,
! [SV1286: $i,SV1105: $i,SV820: $i,SV454: $i,SV24: $i] :
( ( ( hBOOL @ ( hAPP @ SV24 @ ( c_Message_Oagent_Oagent__case @ SV454 @ SV820 @ SV1105 @ SV1286 @ t_a ) ) )
| ( SV1286 = c_Message_Oagent_OSpy )
| ( SV1286
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV24 @ SV820 @ SV1286 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ SV454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2761]) ).
thf(3064,plain,
! [SV1287: $i,SV1106: $i,SV821: $i,SV455: $i,SV25: $i] :
( ( ( hBOOL @ ( hAPP @ SV25 @ ( c_Message_Oagent_Oagent__case @ SV455 @ SV821 @ SV1106 @ SV1287 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV25 @ SV1106 ) )
| ( SV1287
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV25 @ SV821 @ SV1287 ) ) )
| ( SV1287 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2762]) ).
thf(3065,plain,
! [SV1288: $i,SV1107: $i,SV822: $i,SV456: $i,SV26: $i] :
( ( ( SV26
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV26 @ SV456 @ SV822 @ SV1107 ) ) )
| ( SV26 = c_Message_Oagent_OServer )
| ! [SY3674: $i,SY3675: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1288 @ SV456 @ SY3674 @ SV26 @ SV1107 )
= ( c_Message_Oagent_Oagent__case @ SY3675 @ SV822 @ SY3674 @ SV26 @ SV1107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2763]) ).
thf(3066,plain,
! [SV1289: $i,SV1108: $i,SV823: $i,SV457: $i,SV27: $i] :
( ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Message_Oagent_Oagent__case @ SV457 @ SV823 @ SV1108 @ SV1289 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV27 @ SV1108 ) )
| ( SV1289
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV27 @ SV823 @ SV1289 ) ) )
| ( SV1289 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2764]) ).
thf(3067,plain,
! [SV826: $i,SV460: $i,SV32: $i] :
( ( ( class_HOL_Oord @ SV32 )
= $false )
| ( ( ! [SY3237: $i] :
( ( c_lessequals @ ( hAPP @ SV460 @ SV826 ) @ ( hAPP @ SY3237 @ SV826 ) @ SV32 )
| ! [SY2634: $i] :
~ ( c_lessequals @ SV460 @ SY3237 @ ( tc_fun @ SY2634 @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2766]) ).
thf(3068,plain,
! [SV1110: $i,SV827: $i,SV461: $i,SV33: $i] :
( ( ( ( hAPP @ SV33 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SV1110 ) )
!= ( hAPP @ SV827 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SV1110 ) ) )
= $true )
| ( ( ! [SY3522: $i,SY3523: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3522 @ SV33 @ SY3523 @ SV461 @ SV1110 )
= ( c_Message_Oagent_Oagent__case @ SY3522 @ SV827 @ SY3523 @ SV461 @ SV1110 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2767]) ).
thf(3069,plain,
! [SV1290: $i,SV1111: $i,SV828: $i,SV462: $i,SV34: $i] :
( ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SV462 @ SV828 @ SV1111 @ SV1290 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SV1111 ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV828 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SV828 @ SV1290 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SV462 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2768]) ).
thf(3070,plain,
! [SV37: $i,SV1291: $i,SV465: $i] :
( ( ( ! [SY3676: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV465 @ SV1291 @ SV37 ) @ SY3676 @ SV37 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV465 @ SY3676 @ SV37 ) @ ( c_Divides_Odiv__class_Omod @ SV1291 @ SY3676 @ SV37 ) @ SV37 ) @ SY3676 @ SV37 ) ) )
= $true )
| ( ( class_Divides_Oring__div @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2770]) ).
thf(3071,plain,
! [SV1112: $i,SV830: $i,SV467: $i,SV39: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV39 @ SV467 @ SV830 ) @ SV1112 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV467 @ SV1112 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2771]) ).
thf(3072,plain,
! [SV41: $i,SV832: $i,SV469: $i] :
( ( ( ~ ( c_lessequals @ SV469 @ SV832 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV469 @ SV41 @ tc_nat ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV41 @ SV469 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV832 @ SV469 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV41 @ SV832 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2772]) ).
thf(3073,plain,
! [SV835: $i,SV473: $i,SV45: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV45 @ SV473 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV835 @ SV473 @ tc_nat ) )
= $false )
| ( ( ~ ( c_lessequals @ SV473 @ SV835 @ tc_nat )
| ~ ( c_lessequals @ SV473 @ SV45 @ tc_nat )
| ( SV45 = SV835 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2773]) ).
thf(3074,plain,
! [SV1292: $i,SV46: $i,SV474: $i] :
( ( ( ! [SY3677: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV474 @ SV474 @ SV46 )
!= ( c_HOL_Ominus__class_Ominus @ SV1292 @ SY3677 @ SV46 ) )
| ( SV1292 = SY3677 ) ) )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2774]) ).
thf(3075,plain,
! [SV47: $i,SV1293: $i,SV475: $i] :
( ( ( ! [SY3678: $i] :
( ( c_HOL_Ominus__class_Ominus @ SV475 @ SV1293 @ SV47 )
!= ( c_HOL_Ominus__class_Ominus @ SY3678 @ SY3678 @ SV47 ) )
| ( SV475 = SV1293 ) )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV47 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2775]) ).
thf(3076,plain,
! [SV476: $i,SV1113: $i,SV48: $i] :
( ( ( ~ ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SV1113 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV476 @ SV1113 @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1113 @ SV476 @ tc_nat )
| ~ ( c_lessequals @ SV1113 @ SV48 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV48 @ SV476 @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2776]) ).
thf(3077,plain,
! [SV477: $i,SV836: $i,SV49: $i] :
( ( ( ~ ( c_lessequals @ SV49 @ SV836 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV477 @ SV836 @ tc_nat )
| ~ ( c_lessequals @ SV477 @ SV49 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV49 @ SV477 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV836 @ SV477 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2777]) ).
thf(3078,plain,
! [SV478: $i,SV837: $i,SV50: $i] :
( ( ( c_lessequals @ SV50 @ SV837 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV50 @ SV478 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV837 @ SV478 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2778]) ).
thf(3079,plain,
! [SV51: $i,SV479: $i,SV838: $i] :
( ( ( c_lessequals @ SV838 @ SV479 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV51 @ SV479 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV51 @ SV838 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2779]) ).
thf(3080,plain,
! [SV53: $i,SV1294: $i,SV481: $i] :
( ( ( ! [SY3679: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV481 @ SV1294 @ SV53 ) @ SY3679 @ SV53 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV481 @ ( c_Divides_Odiv__class_Omod @ SV1294 @ SY3679 @ SV53 ) @ SV53 ) @ SY3679 @ SV53 ) ) )
= $true )
| ( ( class_Divides_Oring__div @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2781]) ).
thf(3081,plain,
! [SV54: $i,SV1295: $i,SV482: $i] :
( ( ( ! [SY3680: $i] :
( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV482 @ SV1295 @ SV54 ) @ SY3680 @ SV54 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV482 @ SY3680 @ SV54 ) @ SV1295 @ SV54 ) @ SY3680 @ SV54 ) ) )
= $true )
| ( ( class_Divides_Oring__div @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2782]) ).
thf(3082,plain,
! [SV1115: $i,SV840: $i,SV483: $i,SV55: $i] :
( ( ( c_Fun_Oinj__on @ SV55 @ SV483 @ SV840 @ SV1115 )
= $true )
| ( ( ! [SY3525: $i] :
~ ( c_Fun_Oinj__on @ SV55 @ ( c_Set_Oinsert @ SY3525 @ SV483 @ SV840 ) @ SV840 @ SV1115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2783]) ).
thf(3083,plain,
! [SV485: $i,SV842: $i,SV57: $i,SV1296: $i] :
( ( ( ~ ( c_lessequals @ ( c_Set_Oinsert @ SV1296 @ SV57 @ SV842 ) @ SV485 @ ( tc_fun @ SV842 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV57 @ SV485 @ ( tc_fun @ SV842 @ tc_bool ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2784]) ).
thf(3084,plain,
! [SV1116: $i,SV843: $i,SV486: $i,SV58: $i] :
( ( ( c_lessequals @ SV58 @ ( c_Set_Oinsert @ SV486 @ SV843 @ SV1116 ) @ ( tc_fun @ SV1116 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV58 @ SV843 @ ( tc_fun @ SV1116 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2785]) ).
thf(3085,plain,
! [SV59: $i,SV1297: $i,SV1117: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ ( c_Divides_Odiv__class_Omod @ SV1117 @ SV1297 @ SV59 ) @ SV1297 @ SV59 )
= ( c_Divides_Odiv__class_Omod @ SV1117 @ SV1297 @ SV59 ) )
= $true )
| ( ( class_Divides_Osemiring__div @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2786]) ).
thf(3086,plain,
! [SV61: $i,SV488: $i,SV1118: $i] :
( ( ( SV1118 = SV488 )
= $true )
| ( ( ! [SY3527: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1118 @ SV61 @ SY3527 ) @ SV488 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV61 @ SV488 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2787]) ).
thf(3087,plain,
! [SV1119: $i,SV65: $i,SV492: $i] :
( ( ( ~ ( c_lessequals @ SV492 @ SV65 @ ( tc_fun @ SV1119 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV65 @ SV492 @ ( tc_fun @ SV1119 @ tc_bool ) ) )
= $true )
| ( ( SV65 = SV492 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2789]) ).
thf(3088,plain,
! [SV66: $i,SV493: $i] :
( ( ( c_lessequals @ SV493 @ SV66 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV66 @ SV493 @ tc_nat ) )
= $true )
| ( ( SV66 = SV493 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2790]) ).
thf(3089,plain,
! [SV1120: $i,SV67: $i,SV494: $i] :
( ( ( ~ ( c_lessequals @ SV494 @ SV67 @ ( tc_fun @ SV1120 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV67 @ SV494 @ ( tc_fun @ SV1120 @ tc_bool ) ) )
= $true )
| ( ( SV67 = SV494 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2791]) ).
thf(3090,plain,
! [SV68: $i,SV1298: $i,SV1121: $i] :
( ( ( ( SV1121 = SV1298 )
| ~ ( c_lessequals @ SV1298 @ SV1121 @ SV68 )
| ~ ( c_lessequals @ SV1121 @ SV1298 @ SV68 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2792]) ).
thf(3091,plain,
! [SV69: $i,SV1299: $i,SV1122: $i] :
( ( ( ( SV1122 = SV1299 )
| ~ ( c_lessequals @ SV1299 @ SV1122 @ SV69 )
| ~ ( c_lessequals @ SV1122 @ SV1299 @ SV69 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2793]) ).
thf(3092,plain,
! [SV70: $i,SV1300: $i,SV1123: $i] :
( ( ( ( SV1123 = SV1300 )
| ~ ( c_lessequals @ SV1123 @ SV1300 @ SV70 )
| ~ ( c_lessequals @ SV1300 @ SV1123 @ SV70 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2794]) ).
thf(3093,plain,
! [SV1124: $i,SV847: $i,SV495: $i,SV71: $i] :
( ( ( ~ ( class_Divides_Oring__div @ SV71 ) )
= $true )
| ( ( ( ( c_Divides_Odiv__class_Omod @ SV495 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SV1124 @ SV847 @ SV71 ) )
| ! [SY3531: $i,SY3532: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SY3531 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY3532 @ SV847 @ SV71 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3531 @ SV495 @ SV71 ) @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3532 @ SV1124 @ SV71 ) @ SV847 @ SV71 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2795]) ).
thf(3094,plain,
! [SV74: $i,SV1301: $i,SV498: $i] :
( ( ( ( c_lessequals @ SV498 @ SV1301 @ SV74 )
| ! [SY3681: $i] :
( ~ ( c_lessequals @ SV498 @ SY3681 @ SV74 )
| ~ ( c_lessequals @ SY3681 @ SV1301 @ SV74 ) ) )
= $true )
| ( ( class_Orderings_Oorder @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2797]) ).
thf(3095,plain,
! [SV75: $i,SV1302: $i,SV499: $i] :
( ( ( ( c_lessequals @ SV499 @ SV1302 @ SV75 )
| ! [SY3682: $i] :
( ~ ( c_lessequals @ SY3682 @ SV1302 @ SV75 )
| ~ ( c_lessequals @ SV499 @ SY3682 @ SV75 ) ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2798]) ).
thf(3096,plain,
! [SV77: $i,SV500: $i,SV1126: $i] :
( ( ( ~ ( c_lessequals @ SV1126 @ SV500 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV77 @ SV1126 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV77 @ SV500 @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2799]) ).
thf(3097,plain,
! [SV81: $i,SV850: $i,SV503: $i,SV1303: $i] :
( ( ( ~ ( c_lessequals @ SV1303 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
| ~ ( c_lessequals @ SV81 @ SV1303 @ ( tc_fun @ SV850 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV81 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2800]) ).
thf(3098,plain,
! [SV1127: $i,SV851: $i,SV504: $i,SV82: $i] :
( ( ( c_Fun_Oinj__on @ SV82 @ SV504 @ SV851 @ SV1127 )
= $true )
| ( ( ! [SY3533: $i] :
( ~ ( c_lessequals @ SV504 @ SY3533 @ ( tc_fun @ SV851 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV82 @ SY3533 @ SV851 @ SV1127 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2801]) ).
thf(3099,plain,
! [SV83: $i,SV505: $i,SV1128: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV1128 @ SV505 ) ) )
= $true )
| ( ( ! [SY3534: $i] :
~ ( c_lessequals @ SV1128 @ SV83 @ ( tc_fun @ SY3534 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV83 @ SV505 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2802]) ).
thf(3100,plain,
! [SV506: $i,SV86: $i,SV1131: $i] :
( ( ( ! [SY3535: $i] :
~ ( c_lessequals @ SV1131 @ SV86 @ ( tc_fun @ SY3535 @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1131 @ SV506 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV86 @ SV506 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2805]) ).
thf(3101,plain,
! [SV1304: $i,SV1132: $i,SV852: $i,SV507: $i,SV87: $i] :
( ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SV507 @ SV852 @ SV1132 @ SV1304 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SV1132 ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV852 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SV852 @ SV1304 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SV507 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2806]) ).
thf(3102,plain,
! [SV853: $i,SV508: $i,SV88: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV88 )
= $false )
| ( ( ! [SY3259: $i,SY3260: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV508 @ SV853 @ SV88 )
!= ( c_HOL_Ominus__class_Ominus @ SY3259 @ SY3260 @ SV88 ) )
| ( c_lessequals @ SY3260 @ SY3259 @ SV88 )
| ~ ( c_lessequals @ SV853 @ SV508 @ SV88 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2807]) ).
thf(3103,plain,
! [SV854: $i,SV509: $i,SV89: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV89 )
= $false )
| ( ( ! [SY3261: $i,SY3262: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV509 @ SV854 @ SV89 )
!= ( c_HOL_Ominus__class_Ominus @ SY3261 @ SY3262 @ SV89 ) )
| ( c_lessequals @ SV854 @ SV509 @ SV89 )
| ~ ( c_lessequals @ SY3262 @ SY3261 @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2808]) ).
thf(3104,plain,
! [SV1133: $i,SV855: $i,SV510: $i,SV90: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV90 @ SV510 @ SV855 ) @ ( c_Set_Oinsert @ SV90 @ SV1133 @ SV855 ) @ ( tc_fun @ SV855 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV510 @ SV1133 @ ( tc_fun @ SV855 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2809]) ).
thf(3105,plain,
! [SV92: $i,SV1305: $i,SV1134: $i] :
( ( ( ( c_lessequals @ SV1134 @ SV1305 @ SV92 )
| ( c_lessequals @ SV1305 @ SV1134 @ SV92 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2810]) ).
thf(3106,plain,
! [SV104: $i,SV865: $i,SV523: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV523 @ ( tc_List_Olist @ SV865 ) ) @ SV104 @ tc_nat )
= $false )
| ( ( ( c_List_Otake @ SV104 @ SV523 @ SV865 )
= SV523 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2815]) ).
thf(3107,plain,
! [SV106: $i,SV1306: $i,SV525: $i] :
( ( ( ( c_lessequals @ SV525 @ SV1306 @ SV106 )
| ! [SY3683: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV525 @ ( c_List_Olist_OCons @ SV1306 @ SY3683 @ SV106 ) @ SV106 ) @ SV106 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV106 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2816]) ).
thf(3108,plain,
! [SV107: $i,SV1307: $i,SV526: $i] :
( ( ( ! [SY3684: $i] :
( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV526 @ ( c_List_Olist_OCons @ SV1307 @ SY3684 @ SV107 ) @ SV107 ) @ SV107 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1307 @ SY3684 @ SV107 ) @ SV107 )
| ~ ( c_lessequals @ SV526 @ SV1307 @ SV107 ) ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV107 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2817]) ).
thf(3109,plain,
! [SV1135: $i,SV869: $i,SV529: $i,SV110: $i] :
( ( ( ( c_List_Olist__update @ SV110 @ SV529 @ SV869 @ SV1135 )
= SV110 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV110 @ ( tc_List_Olist @ SV1135 ) ) @ SV529 @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2818]) ).
thf(3110,plain,
! [SV1308: $i,SV1137: $i,SV874: $i,SV535: $i,SV116: $i] :
( ( ( hBOOL @ ( hAPP @ SV116 @ ( c_Message_Oagent_Oagent__case @ SV535 @ SV874 @ SV1137 @ SV1308 @ t_a ) ) )
| ( SV1308 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( hAPP @ SV874 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV116 @ SV874 @ SV1308 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ SV535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2820]) ).
thf(3111,plain,
! [SV1309: $i,SV1138: $i,SV875: $i,SV536: $i,SV117: $i] :
( ( ( ( hAPP @ SV117 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) )
!= ( hAPP @ SV875 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) ) )
| ! [SY3685: $i,SY3686: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1309 @ SV117 @ SY3685 @ SV536 @ SV1138 )
= ( c_Message_Oagent_Oagent__case @ SV1309 @ SV875 @ SY3686 @ SV536 @ SV1138 ) )
| ( SV536 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2821]) ).
thf(3112,plain,
! [SV1310: $i,SV1139: $i,SV876: $i,SV537: $i,SV118: $i] :
( ( ( hBOOL @ ( hAPP @ SV118 @ ( c_Message_Oagent_Oagent__case @ SV537 @ SV876 @ SV1139 @ SV1310 @ t_a ) ) )
| ( SV1310 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( hAPP @ SV876 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV118 @ SV876 @ SV1310 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ SV537 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2822]) ).
thf(3113,plain,
! [SV1311: $i,SV1141: $i,SV880: $i,SV541: $i,SV122: $i] :
( ( ( hBOOL @ ( hAPP @ SV122 @ ( c_Message_Oagent_Oagent__case @ SV541 @ SV880 @ SV1141 @ SV1311 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ SV1141 ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ ( hAPP @ SV880 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV122 @ SV880 @ SV1311 ) ) ) )
| ( SV1311 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2824]) ).
thf(3114,plain,
! [SV1312: $i,SV1142: $i,SV881: $i,SV542: $i,SV123: $i] :
( ( ( hBOOL @ ( hAPP @ SV123 @ ( c_Message_Oagent_Oagent__case @ SV542 @ SV881 @ SV1142 @ SV1312 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ SV1142 ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ ( hAPP @ SV881 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV123 @ SV881 @ SV1312 ) ) ) )
| ( SV1312 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2825]) ).
thf(3115,plain,
! [SV1313: $i,SV1143: $i,SV882: $i,SV543: $i,SV124: $i] :
( ( ( ( hAPP @ SV124 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) )
!= ( hAPP @ SV882 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) ) )
| ( SV543 = c_Message_Oagent_OServer )
| ! [SY3687: $i,SY3688: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1313 @ SV124 @ SY3687 @ SV543 @ SV1143 )
= ( c_Message_Oagent_Oagent__case @ SY3688 @ SV882 @ SY3687 @ SV543 @ SV1143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2826]) ).
thf(3116,plain,
! [SV1144: $i,SV883: $i,SV544: $i,SV125: $i] :
( ( ( SV125
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV125 @ SV544 @ SV883 @ SV1144 ) ) )
= $true )
| ( ( ! [SY3548: $i,SY3549: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3548 @ SV544 @ SY3549 @ SV125 @ SV1144 )
= ( c_Message_Oagent_Oagent__case @ SY3548 @ SV883 @ SY3549 @ SV125 @ SV1144 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2827]) ).
thf(3117,plain,
! [SV1314: $i,SV1145: $i,SV884: $i,SV545: $i,SV126: $i] :
( ( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV545 @ SV884 @ SV1145 @ SV1314 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SV1145 ) )
| ( SV1314
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV884 @ SV1314 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SV545 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2828]) ).
thf(3118,plain,
! [SV1315: $i,SV1146: $i,SV885: $i,SV546: $i,SV127: $i] :
( ( ( hBOOL @ ( hAPP @ SV127 @ ( c_Message_Oagent_Oagent__case @ SV546 @ SV885 @ SV1146 @ SV1315 @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SV1146 ) )
| ( SV1315
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV127 @ SV885 @ SV1315 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SV546 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2829]) ).
thf(3119,plain,
! [SV886: $i,SV129: $i] :
( ( ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV129 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV129 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV129 @ SV886 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2830]) ).
thf(3120,plain,
! [SV887: $i,SV130: $i] :
( ( ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV130 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV130 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV130 @ SV887 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2831]) ).
thf(3121,plain,
! [SV888: $i,SV131: $i] :
( ( ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV131 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV131 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV131 @ SV888 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2832]) ).
thf(3122,plain,
! [SV889: $i,SV132: $i] :
( ( ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV132 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV132 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV132 @ SV889 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2833]) ).
thf(3123,plain,
! [SV890: $i,SV133: $i] :
( ( ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV133 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV133 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV133 @ SV890 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2834]) ).
thf(3124,plain,
! [SV891: $i,SV134: $i] :
( ( ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV134 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV134 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV134 @ SV891 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2835]) ).
thf(3125,plain,
! [SV892: $i,SV135: $i] :
( ( ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV135 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV135 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV135 @ SV892 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2836]) ).
thf(3126,plain,
! [SV893: $i,SV136: $i] :
( ( ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV136 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV136 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV136 @ SV893 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2837]) ).
thf(3127,plain,
! [SV894: $i,SV137: $i] :
( ( ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV137 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV137 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV137 @ SV894 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(3128,plain,
! [SV895: $i,SV138: $i] :
( ( ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV138 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV138 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV138 @ SV895 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(3129,plain,
! [SV896: $i,SV139: $i] :
( ( ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV139 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV139 ) @ t_a ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_ONil @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV139 @ SV896 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2840]) ).
thf(3130,plain,
! [SV897: $i,SV548: $i,SV140: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SV897 @ SV548 )
= SV140 )
= $false )
| ( ( ! [SY3290: $i] :
( ( c_List_Oappend @ SV897 @ SY3290 @ SV548 )
= ( c_List_Oappend @ SV140 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SV897 @ SV548 ) @ SY3290 @ SV548 ) @ SV548 ) )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV897 @ ( tc_List_Olist @ SV548 ) ) @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2841]) ).
thf(3131,plain,
! [SV898: $i,SV549: $i,SV141: $i] :
( ( ( SV141
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) )
= $false )
| ( ( ! [SY3291: $i] :
( ( c_List_Oappend @ SV141 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) @ SY3291 @ SV549 ) @ SV549 )
= ( c_List_Oappend @ SV898 @ SY3291 @ SV549 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ ( c_Nat_Osize__class_Osize @ SV898 @ ( tc_List_Olist @ SV549 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2842]) ).
thf(3132,plain,
! [SV142: $i,SV1316: $i,SV550: $i] :
( ( ( ! [SY3689: $i] :
( ( ( c_Finite__Set_Osetsum @ SV550 @ ( c_List_Oset @ SV1316 @ SY3689 ) @ SY3689 @ SV142 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV550 @ SV1316 @ SY3689 @ SV142 ) @ SV142 ) )
| ~ ( c_List_Odistinct @ SV1316 @ SY3689 ) ) )
= $true )
| ( ( class_OrderedGroup_Ocomm__monoid__add @ SV142 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2843]) ).
thf(3133,plain,
! [SV1317: $i,SV1148: $i,SV903: $i,SV555: $i,SV148: $i] :
( ( ( hBOOL @ ( hAPP @ SV148 @ ( c_Message_Oagent_Oagent__case @ SV555 @ SV903 @ SV1148 @ SV1317 @ t_a ) ) )
| ( SV1317 = c_Message_Oagent_OSpy )
| ( SV1317
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV148 @ SV903 @ SV1317 ) ) )
| ( SV1317 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2845]) ).
thf(3134,plain,
! [SV1318: $i,SV1149: $i,SV904: $i,SV556: $i,SV149: $i] :
( ( ! [SY3690: $i,SY3691: $i] :
( ! [SY3692: $i] :
( ( c_Message_Oagent_Oagent__case @ SV149 @ SV556 @ SV904 @ SV1149 @ SV1318 )
= ( c_Message_Oagent_Oagent__case @ SY3690 @ SY3691 @ SY3692 @ SV1149 @ SV1318 ) )
| ( SV1149 = c_Message_Oagent_OSpy )
| ( SV1149
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1149 @ SV556 @ SY3691 @ SV1318 ) ) )
| ( SV1149 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2846]) ).
thf(3135,plain,
! [SV1319: $i,SV1150: $i,SV905: $i,SV557: $i,SV150: $i] :
( ( ( hBOOL @ ( hAPP @ SV150 @ ( c_Message_Oagent_Oagent__case @ SV557 @ SV905 @ SV1150 @ SV1319 @ t_a ) ) )
| ( SV1319 = c_Message_Oagent_OSpy )
| ( SV1319
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV150 @ SV905 @ SV1319 ) ) )
| ( SV1319 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2847]) ).
thf(3136,plain,
! [SV153: $i,SV1320: $i,SV1151: $i] :
( ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SV1151 @ SV1320 @ SV153 ) @ SV153 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1320 @ SV153 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV153 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2848]) ).
thf(3137,plain,
! [SV1321: $i,SV1152: $i,SV907: $i,SV560: $i,SV154: $i] :
( ( ( c_List_Otake @ SV154 @ ( c_List_Omap @ SV560 @ SV907 @ SV1152 @ SV1321 ) @ SV1321 )
= ( c_List_Omap @ SV560 @ ( c_List_Otake @ SV154 @ SV907 @ SV1152 ) @ SV1152 @ SV1321 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2849]) ).
thf(3138,plain,
! [SV1322: $i,SV1153: $i,SV909: $i,SV562: $i,SV157: $i] :
( ( ! [SY3693: $i] :
( ( c_List_Olist__all2 @ SV157 @ ( c_List_Otake @ SV562 @ SV909 @ SV1153 ) @ ( c_List_Otake @ SV562 @ SV1322 @ SY3693 ) @ SV1153 @ SY3693 )
| ~ ( c_List_Olist__all2 @ SV157 @ SV909 @ SV1322 @ SV1153 @ SY3693 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2850]) ).
thf(3139,plain,
! [SV1154: $i,SV910: $i,SV563: $i,SV158: $i] :
( ( ( c_Fun_Oinj__on @ SV158 @ ( c_List_Oset @ SV563 @ SV910 ) @ SV910 @ SV1154 )
= $true )
| ( ( ~ ( c_List_Odistinct @ ( c_List_Omap @ SV158 @ SV563 @ SV910 @ SV1154 ) @ SV1154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2851]) ).
thf(3140,plain,
! [SV1155: $i,SV911: $i,SV564: $i,SV159: $i] :
( ( ( ! [SY3562: $i] :
( ( c_List_Olist_OCons @ SV159 @ SV564 @ SV911 )
!= ( c_List_Ofilter @ SV1155 @ SY3562 @ SV911 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV1155 @ SV159 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2852]) ).
thf(3141,plain,
! [SV565: $i,SV160: $i,SV1156: $i] :
( ( ( c_List_Olist__all2 @ ( c_fequal @ SV1156 ) @ SV160 @ SV565 @ SV1156 @ SV1156 )
= $false )
| ( ( SV160 = SV565 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2853]) ).
thf(3142,plain,
! [SV1323: $i,SV1157: $i,SV912: $i,SV566: $i,SV161: $i] :
( ( ! [SY3694: $i] :
( ( c_List_Ofoldl @ SV161 @ SV566 @ ( c_List_Olist_OCons @ SV912 @ SV1157 @ SV1323 ) @ SY3694 @ SV1323 )
= ( c_List_Ofoldl @ SV161 @ ( hAPP @ ( hAPP @ SV161 @ SV566 ) @ SV912 ) @ SV1157 @ SY3694 @ SV1323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2854]) ).
thf(3143,plain,
! [SV1324: $i,SV162: $i,SV1158: $i] :
( ( ( ( ( c_List_Oset @ SV1158 @ SV162 )
!= ( c_List_Oset @ SV1324 @ SV162 ) )
| ~ ( c_List_Odistinct @ SV1324 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 )
| ~ ( c_List_Odistinct @ SV1158 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
| ( SV1158 = SV1324 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2855]) ).
thf(3144,plain,
! [SV163: $i,SV1325: $i,SV567: $i] :
( ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV567 @ SV1325 @ SV163 ) @ SV163 )
| ! [SY3695: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY3695 @ ( c_List_Olist_OCons @ SV567 @ SV1325 @ SV163 ) @ SV163 ) @ SV163 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV163 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2856]) ).
thf(3145,plain,
! [SV1326: $i,SV1159: $i,SV913: $i,SV568: $i,SV164: $i] :
( ( ! [SY3696: $i,SY3697: $i] :
( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SV568 @ SV913 @ SV1159 ) @ ( c_List_Oappend @ SV1326 @ SY3696 @ SY3697 ) @ SV1159 @ SY3697 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV913 @ SY3696 @ SV1159 @ SY3697 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV568 @ SV1326 @ SV1159 @ SY3697 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2857]) ).
thf(3146,plain,
! [SV1327: $i,SV1160: $i,SV914: $i,SV569: $i,SV165: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
| ! [SY3698: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SY3698 @ ( tc_List_Olist @ SV1160 ) ) )
| ! [SY3699: $i] :
( ( c_List_Olist__all2 @ SY3699 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SY3698 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3699 @ SV165 @ SV914 @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3699 @ SV1327 @ SY3698 @ SV569 @ SV1160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2858]) ).
thf(3147,plain,
! [SV1328: $i,SV1161: $i,SV915: $i,SV570: $i,SV166: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
| ! [SY3700: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SY3700 @ ( tc_List_Olist @ SV1161 ) ) )
| ! [SY3701: $i] :
( ( c_List_Olist__all2 @ SY3701 @ ( c_List_Oappend @ SY3700 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3701 @ SV915 @ SV166 @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3701 @ SY3700 @ SV1328 @ SV1161 @ SV570 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2859]) ).
thf(3148,plain,
! [SV918: $i,SV573: $i,SV169: $i] :
( ( ( hBOOL @ ( hAPP @ SV169 @ ( c_List_Ohd @ ( c_List_OdropWhile @ SV169 @ SV573 @ SV918 ) @ SV918 ) ) )
= $false )
| ( ( ( c_List_OdropWhile @ SV169 @ SV573 @ SV918 )
= ( c_List_Olist_ONil @ SV918 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2862]) ).
thf(3149,plain,
! [SV173: $i,SV920: $i,SV577: $i] :
( ( ( c_List_Odistinct @ SV577 @ SV920 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Ofilter @ SV173 @ SV577 @ SV920 ) @ SV920 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2865]) ).
thf(3150,plain,
! [SV1329: $i,SV1164: $i,SV921: $i,SV578: $i,SV174: $i] :
( ( ( c_List_Omap @ SV174 @ ( c_List_Olist_OCons @ SV578 @ SV921 @ SV1164 ) @ SV1164 @ SV1329 )
= ( c_List_Olist_OCons @ ( hAPP @ SV174 @ SV578 ) @ ( c_List_Omap @ SV174 @ SV921 @ SV1164 @ SV1329 ) @ SV1329 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2866]) ).
thf(3151,plain,
! [SV1330: $i,SV1165: $i,SV922: $i,SV579: $i,SV175: $i] :
( ( ( c_List_Olist_OCons @ ( hAPP @ SV175 @ SV579 ) @ ( c_List_Omap @ SV175 @ SV922 @ SV1165 @ SV1330 ) @ SV1330 )
= ( c_List_Omap @ SV175 @ ( c_List_Olist_OCons @ SV579 @ SV922 @ SV1165 ) @ SV1165 @ SV1330 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2867]) ).
thf(3152,plain,
! [SV1331: $i,SV1166: $i,SV923: $i,SV580: $i,SV176: $i] :
( ( ( c_List_Omap @ SV176 @ ( c_List_Olist_OCons @ SV580 @ SV923 @ SV1166 ) @ SV1166 @ SV1331 )
= ( c_List_Olist_OCons @ ( hAPP @ SV176 @ SV580 ) @ ( c_List_Omap @ SV176 @ SV923 @ SV1166 @ SV1331 ) @ SV1331 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2868]) ).
thf(3153,plain,
! [SV1332: $i,SV1167: $i,SV924: $i,SV581: $i,SV177: $i] :
( ( ! [SY3702: $i] :
( ( c_List_Olist_Olist__case @ SV177 @ SV581 @ ( c_List_Olist_OCons @ SV924 @ SV1167 @ SV1332 ) @ SY3702 @ SV1332 )
= ( hAPP @ ( hAPP @ SV581 @ SV924 ) @ SV1167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2869]) ).
thf(3154,plain,
! [SV1333: $i,SV1168: $i,SV926: $i,SV583: $i,SV180: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV180 @ SV583 ) @ SV926 ) )
| ! [SY3703: $i,SY3704: $i] :
~ ( c_List_Olist__all2 @ SV180 @ ( c_List_Olist_OCons @ SV583 @ SV1168 @ SV1333 ) @ ( c_List_Olist_OCons @ SV926 @ SY3703 @ SY3704 ) @ SV1333 @ SY3704 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2870]) ).
thf(3155,plain,
! [SV1172: $i,SV931: $i,SV588: $i,SV185: $i] :
( ( ( c_List_Odistinct @ ( c_List_Omap @ SV185 @ SV588 @ SV931 @ SV1172 ) @ SV1172 )
= $true )
| ( ( ~ ( c_Fun_Oinj__on @ SV185 @ ( c_List_Oset @ SV588 @ SV931 ) @ SV931 @ SV1172 )
| ~ ( c_List_Odistinct @ SV588 @ SV931 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2875]) ).
thf(3156,plain,
! [SV187: $i,SV1173: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1173 @ SV187 )
= $true )
| ( ( ! [SY3583: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY3583 @ SV1173 @ SV187 ) @ SV187 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2876]) ).
thf(3157,plain,
! [SV188: $i,SV933: $i,SV590: $i] :
( ( ( c_List_Odistinct @ SV590 @ SV933 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Odrop @ SV188 @ SV590 @ SV933 ) @ SV933 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2877]) ).
thf(3158,plain,
! [SV934: $i,SV591: $i,SV1334: $i,SV189: $i] :
( ( ( ~ ( c_List_Olist__all @ SV189 @ ( c_List_Olist_OCons @ SV1334 @ SV591 @ SV934 ) @ SV934 ) )
= $true )
| ( ( c_List_Olist__all @ SV189 @ SV591 @ SV934 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2878]) ).
thf(3159,plain,
! [SV1335: $i,SV1174: $i,SV594: $i,SV192: $i] :
( ( ( ~ ( c_List_Olist__all @ SV192 @ ( c_List_Olist_OCons @ SV594 @ SV1174 @ SV1335 ) @ SV1335 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV192 @ SV594 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2881]) ).
thf(3160,plain,
! [SV1336: $i,SV1175: $i,SV936: $i,SV596: $i,SV194: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
!= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SV1175 ) ) )
| ! [SY3705: $i,SY3706: $i] :
( ( c_List_Olist__all2 @ SV1336 @ ( c_List_Oappend @ SV194 @ SY3705 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SY3706 @ SV1175 ) @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SY3705 @ SY3706 @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SV194 @ SV936 @ SV596 @ SV1175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2883]) ).
thf(3161,plain,
! [SV1337: $i,SV1177: $i,SV942: $i,SV602: $i,SV200: $i] :
( ( ! [SY3707: $i] :
( ( c_List_Omap @ SV200 @ ( c_List_Olist__update @ SV602 @ SV942 @ SV1177 @ SV1337 ) @ SV1337 @ SY3707 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV200 @ SV602 @ SV1337 @ SY3707 ) @ SV942 @ ( hAPP @ SV200 @ SV1177 ) @ SY3707 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2887]) ).
thf(3162,plain,
! [SV1338: $i,SV1178: $i,SV943: $i,SV603: $i,SV201: $i] :
( ( ( c_Message_Oagent_Oagent__case @ SV201 @ SV603 @ SV943 @ ( c_Message_Oagent_OFriend @ SV1178 ) @ SV1338 )
= ( hAPP @ SV603 @ SV1178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2888]) ).
thf(3163,plain,
! [SV1179: $i,SV944: $i,SV604: $i,SV202: $i] :
( ( ( c_List_Olist__all @ SV202 @ ( c_List_Oappend @ SV604 @ SV944 @ SV1179 ) @ SV1179 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV202 @ SV944 @ SV1179 )
| ~ ( c_List_Olist__all @ SV202 @ SV604 @ SV1179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2889]) ).
thf(3164,plain,
! [SV204: $i,SV945: $i,SV605: $i] :
( ( ( c_List_Odistinct @ SV605 @ SV945 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Otake @ SV204 @ SV605 @ SV945 ) @ SV945 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2891]) ).
thf(3165,plain,
! [SV1339: $i,SV1181: $i,SV947: $i,SV607: $i,SV206: $i] :
( ( ! [SY3708: $i] :
( ( c_List_Ofoldl @ SV206 @ SV607 @ ( c_List_Oappend @ SV947 @ SV1181 @ SV1339 ) @ SY3708 @ SV1339 )
= ( c_List_Ofoldl @ SV206 @ ( c_List_Ofoldl @ SV206 @ SV607 @ SV947 @ SY3708 @ SV1339 ) @ SV1181 @ SY3708 @ SV1339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2892]) ).
thf(3166,plain,
! [SV608: $i,SV207: $i,SV1182: $i] :
( ( ( c_List_Odistinct @ ( c_List_Olist_OCons @ SV1182 @ SV207 @ SV608 ) @ SV608 )
= $false )
| ( ( c_List_Odistinct @ SV207 @ SV608 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2893]) ).
thf(3167,plain,
! [SV1340: $i,SV949: $i,SV611: $i,SV211: $i] :
( ( ( ( c_List_Omap @ SV211 @ SV611 @ SV949 @ SV1340 )
!= ( c_List_Olist_ONil @ SV1340 ) )
= $true )
| ( ( SV611
= ( c_List_Olist_ONil @ SV949 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2896]) ).
thf(3168,plain,
! [SV951: $i,SV614: $i,SV215: $i] :
( ( ( SV215
= ( c_List_Oappend @ SV614 @ SV215 @ SV951 ) )
= $false )
| ( ( SV614
= ( c_List_Olist_ONil @ SV951 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2898]) ).
thf(3169,plain,
! [SV952: $i,SV615: $i,SV216: $i] :
( ( ( ( c_List_Oappend @ SV216 @ SV615 @ SV952 )
= SV615 )
= $false )
| ( ( SV216
= ( c_List_Olist_ONil @ SV952 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2899]) ).
thf(3170,plain,
! [SV953: $i,SV616: $i,SV217: $i] :
( ( ( SV217
= ( c_List_Oappend @ SV217 @ SV616 @ SV953 ) )
= $false )
| ( ( SV616
= ( c_List_Olist_ONil @ SV953 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2900]) ).
thf(3171,plain,
! [SV954: $i,SV617: $i,SV218: $i] :
( ( ( ( c_List_Oappend @ SV218 @ SV617 @ SV954 )
= SV218 )
= $false )
| ( ( SV617
= ( c_List_Olist_ONil @ SV954 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2901]) ).
thf(3172,plain,
! [SV955: $i,SV619: $i,SV220: $i] :
( ( ( ( c_List_Orotate @ SV220 @ SV619 @ SV955 )
= ( c_List_Olist_ONil @ SV955 ) )
= $false )
| ( ( SV619
= ( c_List_Olist_ONil @ SV955 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2903]) ).
thf(3173,plain,
! [SV620: $i,SV1341: $i,SV221: $i,SV1184: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV1184 @ SV221 @ ( c_List_Olist_ONil @ SV1341 ) @ SV620 @ SV1341 ) )
= $true )
| ( ( SV221
= ( c_List_Olist_ONil @ SV620 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2904]) ).
thf(3174,plain,
! [SV621: $i,SV222: $i,SV1342: $i,SV1185: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV1185 @ ( c_List_Olist_ONil @ SV1342 ) @ SV222 @ SV1342 @ SV621 ) )
= $true )
| ( ( SV222
= ( c_List_Olist_ONil @ SV621 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2905]) ).
thf(3175,plain,
! [SV957: $i,SV623: $i,SV225: $i] :
( ( ( ( c_List_Oappend @ SV225 @ SV623 @ SV957 )
= ( c_List_Olist_ONil @ SV957 ) )
= $false )
| ( ( SV623
= ( c_List_Olist_ONil @ SV957 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2907]) ).
thf(3176,plain,
! [SV958: $i,SV624: $i,SV226: $i] :
( ( ( ( c_List_Oappend @ SV226 @ SV624 @ SV958 )
= ( c_List_Olist_ONil @ SV958 ) )
= $false )
| ( ( SV226
= ( c_List_Olist_ONil @ SV958 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2908]) ).
thf(3177,plain,
! [SV959: $i,SV625: $i,SV227: $i] :
( ( ( ( c_List_Olist_ONil @ SV227 )
= ( c_List_Oappend @ SV625 @ SV959 @ SV227 ) )
= $false )
| ( ( SV959
= ( c_List_Olist_ONil @ SV227 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2909]) ).
thf(3178,plain,
! [SV1186: $i,SV626: $i,SV228: $i] :
( ( ( ( c_List_Olist_ONil @ SV228 )
= ( c_List_Oappend @ SV626 @ SV1186 @ SV228 ) )
= $false )
| ( ( SV626
= ( c_List_Olist_ONil @ SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2910]) ).
thf(3179,plain,
! [SV1343: $i,SV1187: $i,SV627: $i,SV229: $i] :
( ( ( ( c_List_Ofilter @ SV229 @ ( c_List_Olist_OCons @ SV627 @ SV1187 @ SV1343 ) @ SV1343 )
= ( c_List_Olist_OCons @ SV627 @ ( c_List_Ofilter @ SV229 @ SV1187 @ SV1343 ) @ SV1343 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV229 @ SV627 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2911]) ).
thf(3180,plain,
! [SV960: $i,SV1344: $i,SV628: $i,SV230: $i] :
( ( ( ~ ( c_List_Olistsp @ SV230 @ ( c_List_Oappend @ SV628 @ SV1344 @ SV960 ) @ SV960 ) )
= $true )
| ( ( c_List_Olistsp @ SV230 @ SV628 @ SV960 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2912]) ).
thf(3181,plain,
! [SV961: $i,SV629: $i,SV1345: $i,SV231: $i] :
( ( ( ~ ( c_List_Olistsp @ SV231 @ ( c_List_Oappend @ SV1345 @ SV629 @ SV961 ) @ SV961 ) )
= $true )
| ( ( c_List_Olistsp @ SV231 @ SV629 @ SV961 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2913]) ).
thf(3182,plain,
! [SV1188: $i,SV962: $i,SV630: $i,SV232: $i] :
( ( ( ! [SY3596: $i] :
( ( c_List_Oreplicate @ SV232 @ SV630 @ SV962 )
!= ( c_List_Oreplicate @ SV1188 @ SY3596 @ SV962 ) ) )
= $true )
| ( ( SV232 = SV1188 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2914]) ).
thf(3183,plain,
! [SV1189: $i,SV963: $i,SV631: $i,SV233: $i] :
( ( ( ( c_List_Oappend @ SV233 @ SV631 @ SV963 )
!= ( c_List_Oappend @ SV1189 @ SV631 @ SV963 ) )
= $true )
| ( ( SV233 = SV1189 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2915]) ).
thf(3184,plain,
! [SV1190: $i,SV964: $i,SV632: $i,SV234: $i] :
( ( ( ( c_List_Oappend @ SV234 @ SV632 @ SV964 )
!= ( c_List_Oappend @ SV234 @ SV1190 @ SV964 ) )
= $true )
| ( ( SV632 = SV1190 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2916]) ).
thf(3185,plain,
! [SV235: $i,SV1346: $i,SV1191: $i] :
( ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SV1191 @ SV1346 @ SV235 ) @ SV235 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1346 @ SV235 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV235 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2917]) ).
thf(3186,plain,
! [SV1192: $i,SV965: $i,SV633: $i,SV236: $i] :
( ( ( ! [SY3598: $i] :
( ( c_List_Ofilter @ SV236 @ SV633 @ SV965 )
!= ( c_List_Olist_OCons @ SV1192 @ SY3598 @ SV965 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV236 @ SV1192 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2918]) ).
thf(3187,plain,
! [SV1347: $i,SV1193: $i,SV966: $i,SV634: $i,SV237: $i] :
( ( ( c_List_Olist__all2 @ SV237 @ SV634 @ SV966 @ SV1193 @ SV1347 )
| ! [SY3709: $i,SY3710: $i] :
~ ( c_List_Olist__all2 @ SV237 @ ( c_List_Olist_OCons @ SY3709 @ SV634 @ SV1193 ) @ ( c_List_Olist_OCons @ SY3710 @ SV966 @ SV1347 ) @ SV1193 @ SV1347 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2919]) ).
thf(3188,plain,
! [SV1348: $i,SV1194: $i,SV967: $i,SV635: $i,SV238: $i] :
( ( ( c_List_Orotate @ SV238 @ ( c_List_Omap @ SV635 @ SV967 @ SV1194 @ SV1348 ) @ SV1348 )
= ( c_List_Omap @ SV635 @ ( c_List_Orotate @ SV238 @ SV967 @ SV1194 ) @ SV1194 @ SV1348 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2920]) ).
thf(3189,plain,
! [SV636: $i,SV1195: $i,SV239: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oappend @ SV239 @ SV1195 @ SV636 ) @ SV636 )
= $false )
| ( ( c_List_Odistinct @ SV239 @ SV636 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2921]) ).
thf(3190,plain,
! [SV637: $i,SV240: $i,SV1196: $i] :
( ( ( c_List_Odistinct @ ( c_List_Oappend @ SV1196 @ SV240 @ SV637 ) @ SV637 )
= $false )
| ( ( c_List_Odistinct @ SV240 @ SV637 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2922]) ).
thf(3191,plain,
! [SV245: $i,SV970: $i,SV642: $i] :
( ( ( c_List_Odistinct @ SV642 @ SV970 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_OdropWhile @ SV245 @ SV642 @ SV970 ) @ SV970 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2926]) ).
thf(3192,plain,
! [SV1349: $i,SV1198: $i,SV971: $i,SV643: $i,SV246: $i] :
( ( ( c_List_Omap @ SV246 @ ( c_List_Oreplicate @ SV643 @ SV971 @ SV1198 ) @ SV1198 @ SV1349 )
= ( c_List_Oreplicate @ SV643 @ ( hAPP @ SV246 @ SV971 ) @ SV1349 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2927]) ).
thf(3193,plain,
! [SV1350: $i,SV1199: $i,SV972: $i,SV644: $i,SV247: $i] :
( ( ! [SY3711: $i] :
( ( c_List_Ofoldr @ SV247 @ ( c_List_Oappend @ SV644 @ SV972 @ SV1199 ) @ SV1350 @ SV1199 @ SY3711 )
= ( c_List_Ofoldr @ SV247 @ SV644 @ ( c_List_Ofoldr @ SV247 @ SV972 @ SV1350 @ SV1199 @ SY3711 ) @ SV1199 @ SY3711 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2928]) ).
thf(3194,plain,
! [SV1351: $i,SV1200: $i,SV645: $i,SV248: $i] :
( ( ( c_List_Olist__ex @ SV248 @ ( c_List_Olist_OCons @ SV645 @ SV1200 @ SV1351 ) @ SV1351 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV248 @ SV645 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2929]) ).
thf(3195,plain,
! [SV1201: $i,SV973: $i,SV646: $i,SV249: $i] :
( ( ( ! [SY3607: $i] :
( ( c_List_OdropWhile @ SV249 @ SV646 @ SV973 )
!= ( c_List_Olist_OCons @ SV1201 @ SY3607 @ SV973 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV249 @ SV1201 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2930]) ).
thf(3196,plain,
! [SV1352: $i,SV1202: $i,SV974: $i,SV647: $i,SV250: $i] :
( ( ! [SY3712: $i,SY3713: $i] :
( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SV647 @ SV974 @ SV1202 ) @ ( c_List_Olist_OCons @ SV1352 @ SY3712 @ SY3713 ) @ SV1202 @ SY3713 )
| ~ ( c_List_Olist__all2 @ SV250 @ SV974 @ SY3712 @ SV1202 @ SY3713 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SV647 ) @ SV1352 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2931]) ).
thf(3197,plain,
! [SV1353: $i,SV1203: $i,SV975: $i,SV648: $i,SV251: $i] :
( ( ! [SY3714: $i,SY3715: $i] :
( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SV648 @ SV975 @ SV1203 ) @ ( c_List_Olist_OCons @ SV1353 @ SY3714 @ SY3715 ) @ SV1203 @ SY3715 )
| ~ ( c_List_Olist__all2 @ SV251 @ SV975 @ SY3714 @ SV1203 @ SY3715 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SV648 ) @ SV1353 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2932]) ).
thf(3198,plain,
! [SV1354: $i,SV1204: $i,SV976: $i,SV649: $i,SV252: $i] :
( ( ! [SY3716: $i,SY3717: $i] :
( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SV649 @ SV976 @ SV1204 ) @ ( c_List_Olist_OCons @ SV1354 @ SY3716 @ SY3717 ) @ SV1204 @ SY3717 )
| ~ ( c_List_Olist__all2 @ SV252 @ SV976 @ SY3716 @ SV1204 @ SY3717 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SV649 ) @ SV1354 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2933]) ).
thf(3199,plain,
! [SV1205: $i,SV977: $i,SV650: $i,SV253: $i] :
( ( ( c_List_Olist__ex @ SV253 @ ( c_List_Olist_OCons @ SV650 @ SV977 @ SV1205 ) @ SV1205 )
= $true )
| ( ( ~ ( c_List_Olist__ex @ SV253 @ SV977 @ SV1205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2934]) ).
thf(3200,plain,
! [SV978: $i,SV651: $i,SV1355: $i,SV254: $i] :
( ( ( ( hBOOL @ ( hAPP @ SV254 @ SV1355 ) )
| ~ ( c_List_Olist__ex @ SV254 @ ( c_List_Olist_OCons @ SV1355 @ SV651 @ SV978 ) @ SV978 ) )
= $true )
| ( ( c_List_Olist__ex @ SV254 @ SV651 @ SV978 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2935]) ).
thf(3201,plain,
! [SV1206: $i,SV979: $i,SV652: $i,SV255: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV255 @ ( tc_List_Olist @ SV652 ) )
= ( c_Nat_Osize__class_Osize @ SV979 @ ( tc_List_Olist @ SV1206 ) ) )
= $true )
| ( ( ! [SY3617: $i] :
~ ( c_List_Olist__all2 @ SY3617 @ SV255 @ SV979 @ SV652 @ SV1206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2936]) ).
thf(3202,plain,
! [SV1356: $i,SV980: $i,SV653: $i,SV256: $i] :
( ( ( ( c_List_Ofilter @ SV256 @ ( c_List_Oreplicate @ SV653 @ SV980 @ SV1356 ) @ SV1356 )
= ( c_List_Oreplicate @ SV653 @ SV980 @ SV1356 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV256 @ SV980 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2937]) ).
thf(3203,plain,
! [SV1357: $i,SV1207: $i,SV981: $i,SV654: $i,SV257: $i] :
( ( ! [SY3718: $i] :
( ( c_List_Olistrelp @ SV257 @ ( c_List_Olist_OCons @ SV654 @ SV981 @ SV1207 ) @ ( c_List_Olist_OCons @ SV1357 @ SY3718 @ SV1207 ) @ SV1207 )
| ~ ( c_List_Olistrelp @ SV257 @ SV981 @ SY3718 @ SV1207 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV257 @ SV654 ) @ SV1357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2938]) ).
thf(3204,plain,
! [SV1358: $i,SV1208: $i,SV655: $i,SV258: $i] :
( ( ( ( c_List_Oremove1 @ SV258 @ ( c_List_Olist_OCons @ SV655 @ SV1208 @ SV1358 ) @ SV1358 )
= ( c_List_Olist_OCons @ SV655 @ ( c_List_Oremove1 @ SV258 @ SV1208 @ SV1358 ) @ SV1358 ) )
= $true )
| ( ( SV258 = SV655 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2939]) ).
thf(3205,plain,
! [SV656: $i,SV982: $i,SV259: $i] :
( ( ( c_List_Odistinct @ SV259 @ SV982 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Osublist @ SV259 @ SV656 @ SV982 ) @ SV982 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2940]) ).
thf(3206,plain,
! [SV1359: $i,SV1209: $i,SV983: $i,SV657: $i,SV260: $i] :
( ( ( ( c_List_Omap @ SV260 @ SV657 @ SV983 @ SV1209 )
!= ( c_List_Omap @ SV260 @ SV1359 @ SV983 @ SV1209 ) )
| ( ( c_Nat_Osize__class_Osize @ SV657 @ ( tc_List_Olist @ SV983 ) )
= ( c_Nat_Osize__class_Osize @ SV1359 @ ( tc_List_Olist @ SV983 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2941]) ).
thf(3207,plain,
! [SV1210: $i,SV984: $i,SV658: $i,SV261: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV261 @ ( tc_List_Olist @ SV658 ) )
!= ( c_Nat_Osize__class_Osize @ SV984 @ ( tc_List_Olist @ SV1210 ) ) )
= $true )
| ( ( ! [SY3622: $i,SY3623: $i] :
( ( c_Map_Omap__upds @ SY3622 @ ( c_List_Oappend @ SV261 @ SY3623 @ SV658 ) @ SV984 @ SV658 @ SV1210 )
= ( c_Map_Omap__upds @ SY3622 @ SV261 @ SV984 @ SV658 @ SV1210 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2942]) ).
thf(3208,plain,
! [SV1211: $i,SV985: $i,SV659: $i,SV262: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV262 @ ( tc_List_Olist @ SV659 ) )
!= ( c_Nat_Osize__class_Osize @ SV985 @ ( tc_List_Olist @ SV1211 ) ) )
= $true )
| ( ( ! [SY3624: $i,SY3625: $i] :
( ( c_Map_Omap__upds @ SY3624 @ SV262 @ ( c_List_Oappend @ SV985 @ SY3625 @ SV1211 ) @ SV659 @ SV1211 )
= ( c_Map_Omap__upds @ SY3624 @ SV262 @ SV985 @ SV659 @ SV1211 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2943]) ).
thf(3209,plain,
! [SV986: $i,SV660: $i,SV263: $i] :
( ( ( SV263
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV263 @ ( tc_List_Olist @ SV660 ) ) @ SV986 @ SV660 ) )
= $false )
| ( ( ( c_List_Oappend @ SV263 @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV263 @ ( tc_List_Olist @ SV660 ) ) @ SV986 @ SV660 ) @ SV660 )
= SV986 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2944]) ).
thf(3210,plain,
! [SV264: $i,SV987: $i,SV661: $i] :
( ( ( c_List_Odistinct @ SV661 @ SV987 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Oremove1 @ SV264 @ SV661 @ SV987 ) @ SV987 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2945]) ).
thf(3211,plain,
! [SV1212: $i,SV988: $i,SV662: $i,SV265: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV265 @ SV662 )
!= ( c_Event_Oevent_OGets @ SV988 @ SV1212 ) )
= $true )
| ( ( SV662 = SV1212 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2946]) ).
thf(3212,plain,
! [SV1360: $i,SV989: $i,SV663: $i,SV266: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV266 @ SV663 )
!= ( c_Event_Oevent_OGets @ SV989 @ SV1360 ) )
= $true )
| ( ( SV266 = SV989 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2947]) ).
thf(3213,plain,
! [SV1361: $i,SV1213: $i,SV990: $i,SV664: $i,SV267: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SV664 ) )
!= ( c_Nat_Osize__class_Osize @ SV990 @ ( tc_List_Olist @ SV1213 ) ) )
| ( c_List_Olist__all2 @ SV1361 @ SV267 @ SV990 @ SV664 @ SV1213 )
| ! [SY3719: $i,SY3720: $i] :
~ ( c_List_Olist__all2 @ SV1361 @ ( c_List_Oappend @ SV267 @ SY3719 @ SV664 ) @ ( c_List_Oappend @ SV990 @ SY3720 @ SV1213 ) @ SV664 @ SV1213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2948]) ).
thf(3214,plain,
! [SV1362: $i,SV1214: $i,SV991: $i,SV665: $i,SV268: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SV665 ) )
!= ( c_Nat_Osize__class_Osize @ SV991 @ ( tc_List_Olist @ SV1214 ) ) )
| ! [SY3721: $i,SY3722: $i] :
( ( c_List_Olist__all2 @ SV1362 @ SY3721 @ SY3722 @ SV665 @ SV1214 )
| ~ ( c_List_Olist__all2 @ SV1362 @ ( c_List_Oappend @ SV268 @ SY3721 @ SV665 ) @ ( c_List_Oappend @ SV991 @ SY3722 @ SV1214 ) @ SV665 @ SV1214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2949]) ).
thf(3215,plain,
! [SV1363: $i,SV1215: $i,SV666: $i,SV269: $i] :
( ( ( ( c_List_OdropWhile @ SV269 @ ( c_List_Olist_OCons @ SV666 @ SV1215 @ SV1363 ) @ SV1363 )
= ( c_List_OdropWhile @ SV269 @ SV1215 @ SV1363 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV269 @ SV666 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2950]) ).
thf(3216,plain,
! [SV1364: $i,SV1216: $i,SV670: $i,SV273: $i] :
( ( ( ( c_List_OdropWhile @ SV273 @ ( c_List_Olist_OCons @ SV670 @ SV1216 @ SV1364 ) @ SV1364 )
= ( c_List_Olist_OCons @ SV670 @ SV1216 @ SV1364 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV273 @ SV670 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2952]) ).
thf(3217,plain,
! [SV1365: $i,SV1217: $i,SV994: $i,SV671: $i,SV274: $i] :
( ( ( c_List_Omap @ SV274 @ ( c_List_Oappend @ SV671 @ SV994 @ SV1217 ) @ SV1217 @ SV1365 )
= ( c_List_Oappend @ ( c_List_Omap @ SV274 @ SV671 @ SV1217 @ SV1365 ) @ ( c_List_Omap @ SV274 @ SV994 @ SV1217 @ SV1365 ) @ SV1365 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2953]) ).
thf(3218,plain,
! [SV1366: $i,SV1218: $i,SV672: $i,SV275: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV275 @ ( c_Message_Oagent_Oagent__case @ SV672 @ SV1218 @ SV1366 @ c_Message_Oagent_OServer @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV275 @ SV672 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2954]) ).
thf(3219,plain,
! [SV1367: $i,SV1220: $i,SV996: $i,SV674: $i,SV277: $i] :
( ( ! [SY3723: $i] :
( ( c_List_Olist__all2 @ SV277 @ ( c_List_Odrop @ SV674 @ SV996 @ SV1220 ) @ ( c_List_Odrop @ SV674 @ SV1367 @ SY3723 ) @ SV1220 @ SY3723 )
| ~ ( c_List_Olist__all2 @ SV277 @ SV996 @ SV1367 @ SV1220 @ SY3723 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2956]) ).
thf(3220,plain,
! [SV1368: $i,SV1221: $i,SV676: $i,SV279: $i] :
( ( ( ( c_List_Oremove1 @ SV279 @ ( c_List_Ofilter @ SV676 @ SV1221 @ SV1368 ) @ SV1368 )
= ( c_List_Ofilter @ SV676 @ SV1221 @ SV1368 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV676 @ SV279 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2957]) ).
thf(3221,plain,
! [SV1369: $i,SV997: $i,SV677: $i,SV280: $i] :
( ( ( ( c_List_Ofilter @ SV280 @ ( c_List_Oreplicate @ SV677 @ SV997 @ SV1369 ) @ SV1369 )
= ( c_List_Olist_ONil @ SV1369 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV280 @ SV997 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2958]) ).
thf(3222,plain,
! [SV1370: $i,SV1222: $i,SV998: $i,SV678: $i,SV281: $i] :
( ( ! [SY3724: $i] :
( ( c_List_Olist_Olist__rec @ SV281 @ SV678 @ ( c_List_Olist_OCons @ SV998 @ SV1222 @ SV1370 ) @ SY3724 @ SV1370 )
= ( hAPP @ ( hAPP @ ( hAPP @ SV678 @ SV998 ) @ SV1222 ) @ ( c_List_Olist_Olist__rec @ SV281 @ SV678 @ SV1222 @ SY3724 @ SV1370 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2959]) ).
thf(3223,plain,
! [SV1371: $i,SV680: $i,SV283: $i,SV1223: $i] :
( ( ( ~ ( c_List_Odistinct @ ( c_List_Omap @ SV1223 @ SV283 @ SV680 @ SV1371 ) @ SV1371 ) )
= $true )
| ( ( c_List_Odistinct @ SV283 @ SV680 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2960]) ).
thf(3224,plain,
! [SV683: $i,SV286: $i,SV1224: $i] :
( ( ( c_List_Odistinct @ ( c_List_Orotate @ SV1224 @ SV286 @ SV683 ) @ SV683 )
= $false )
| ( ( c_List_Odistinct @ SV286 @ SV683 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2961]) ).
thf(3225,plain,
! [SV287: $i,SV1000: $i,SV684: $i] :
( ( ( c_List_Odistinct @ SV684 @ SV1000 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Orotate @ SV287 @ SV684 @ SV1000 ) @ SV1000 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3226,plain,
! [SV1225: $i,SV1001: $i,SV685: $i,SV288: $i] :
( ( ( c_List_Olistsp @ SV288 @ ( c_List_Oappend @ SV685 @ SV1001 @ SV1225 ) @ SV1225 )
= $true )
| ( ( ~ ( c_List_Olistsp @ SV288 @ SV1001 @ SV1225 )
| ~ ( c_List_Olistsp @ SV288 @ SV685 @ SV1225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2963]) ).
thf(3227,plain,
! [SV1372: $i,SV1226: $i,SV1003: $i,SV687: $i,SV290: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV290 @ ( c_Message_Oagent_Oagent__case @ SV687 @ SV1003 @ SV1226 @ ( c_Message_Oagent_OFriend @ SV1372 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV290 @ ( hAPP @ SV1003 @ SV1372 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2964]) ).
thf(3228,plain,
! [SV1373: $i,SV1227: $i,SV1004: $i,SV688: $i,SV291: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV291 @ ( c_Message_Oagent_Oagent__case @ SV688 @ SV1004 @ SV1227 @ ( c_Message_Oagent_OFriend @ SV1373 ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ SV291 @ ( hAPP @ SV1004 @ SV1373 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2965]) ).
thf(3229,plain,
! [SV1374: $i,SV1228: $i,SV1006: $i,SV690: $i,SV293: $i] :
( ( ! [SY3725: $i] :
( ( c_List_Ofoldr @ SV293 @ ( c_List_Olist_OCons @ SV690 @ SV1006 @ SV1228 ) @ SV1374 @ SV1228 @ SY3725 )
= ( hAPP @ ( hAPP @ SV293 @ SV690 ) @ ( c_List_Ofoldr @ SV293 @ SV1006 @ SV1374 @ SV1228 @ SY3725 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2967]) ).
thf(3230,plain,
! [SV1375: $i,SV1229: $i,SV1008: $i,SV692: $i,SV295: $i] :
( ( ( c_Message_Oagent_Oagent__rec @ SV295 @ SV692 @ SV1008 @ ( c_Message_Oagent_OFriend @ SV1229 ) @ SV1375 )
= ( hAPP @ SV692 @ SV1229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2968]) ).
thf(3231,plain,
! [SV1376: $i,SV1230: $i,SV1009: $i,SV693: $i,SV296: $i] :
( ( ( c_List_Olist__update @ ( c_List_Oappend @ SV296 @ ( c_List_Olist_OCons @ SV693 @ SV1009 @ SV1230 ) @ SV1230 ) @ ( c_Nat_Osize__class_Osize @ SV296 @ ( tc_List_Olist @ SV1230 ) ) @ SV1376 @ SV1230 )
= ( c_List_Oappend @ SV296 @ ( c_List_Olist_OCons @ SV1376 @ SV1009 @ SV1230 ) @ SV1230 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2969]) ).
thf(3232,plain,
! [SV1231: $i,SV1011: $i,SV696: $i,SV299: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
!= SV1231 )
= $true )
| ( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 )
!= SV299 )
| ( SV1011
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) )
| ( ( c_List_Oappend @ SV1011 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= ( c_List_Oappend @ SV299 @ SV1231 @ SV696 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2970]) ).
thf(3233,plain,
! [SV1232: $i,SV1012: $i,SV697: $i,SV300: $i] :
( ( ( ! [SY3648: $i] :
( ( c_List_Olist_OCons @ SV300 @ SV697 @ SV1012 )
!= ( c_List_Olist_OCons @ SV1232 @ SY3648 @ SV1012 ) ) )
= $true )
| ( ( SV300 = SV1232 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2971]) ).
thf(3234,plain,
! [SV1377: $i,SV1233: $i,SV1013: $i,SV698: $i,SV301: $i] :
( ( ( ( c_List_Olist_OCons @ SV301 @ SV698 @ SV1013 )
!= ( c_List_Olist_OCons @ SV1233 @ SV1377 @ SV1013 ) )
| ( SV698 = SV1377 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2972]) ).
thf(3235,plain,
! [SV302: $i,SV1234: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1234 @ SV302 )
= $true )
| ( ( ! [SY3650: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1234 @ SY3650 @ SV302 ) @ SV302 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV302 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2973]) ).
thf(3236,plain,
! [SV303: $i,SV1235: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1235 @ SV303 )
= $true )
| ( ( ! [SY3651: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SY3651 @ SV1235 @ SV303 ) @ SV303 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV303 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2974]) ).
thf(3237,plain,
! [SV1236: $i,SV1014: $i,SV699: $i,SV304: $i] :
( ( ( c_List_Olist__all @ SV304 @ ( c_List_Olist_OCons @ SV699 @ SV1014 @ SV1236 ) @ SV1236 )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV304 @ SV1014 @ SV1236 )
| ~ ( hBOOL @ ( hAPP @ SV304 @ SV699 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2975]) ).
thf(3238,plain,
! [SV1378: $i,SV1237: $i,SV1015: $i,SV700: $i,SV305: $i] :
( ( ! [SY3726: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SV700 @ SV1015 @ SV1237 ) @ SV1378 @ SY3726 @ SV1237 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SV1378 @ SY3726 @ SV1237 ) @ SV700 @ SV1015 @ SV1237 ) )
| ( SV700 = SV1378 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2976]) ).
thf(3239,plain,
! [SV306: $i,SV1238: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV1238 @ SV306 ) @ SV306 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1238 @ SV306 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV306 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2977]) ).
thf(3240,plain,
! [SV1379: $i,SV1240: $i,SV1017: $i,SV702: $i,SV308: $i] :
( ( ( c_List_Odrop @ SV308 @ ( c_List_Omap @ SV702 @ SV1017 @ SV1240 @ SV1379 ) @ SV1379 )
= ( c_List_Omap @ SV702 @ ( c_List_Odrop @ SV308 @ SV1017 @ SV1240 ) @ SV1240 @ SV1379 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2979]) ).
thf(3241,plain,
! [SV1380: $i,SV1242: $i,SV705: $i,SV311: $i] :
( ( ( ( c_List_Ofilter @ SV311 @ ( c_List_Olist_OCons @ SV705 @ SV1242 @ SV1380 ) @ SV1380 )
= ( c_List_Ofilter @ SV311 @ SV1242 @ SV1380 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV311 @ SV705 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2981]) ).
thf(3242,plain,
! [SV1243: $i,SV1020: $i,SV708: $i,SV314: $i] :
( ( ( ! [SY3656: $i] :
( ( c_List_Oappend @ SV314 @ ( c_List_Olist_OCons @ SV708 @ ( c_List_Olist_ONil @ SV1020 ) @ SV1020 ) @ SV1020 )
!= ( c_List_Oappend @ SV1243 @ ( c_List_Olist_OCons @ SY3656 @ ( c_List_Olist_ONil @ SV1020 ) @ SV1020 ) @ SV1020 ) ) )
= $true )
| ( ( SV314 = SV1243 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2982]) ).
thf(3243,plain,
! [SV1381: $i,SV1244: $i,SV1021: $i,SV709: $i,SV315: $i] :
( ( ( ( c_List_Oappend @ SV315 @ ( c_List_Olist_OCons @ SV709 @ ( c_List_Olist_ONil @ SV1021 ) @ SV1021 ) @ SV1021 )
!= ( c_List_Oappend @ SV1244 @ ( c_List_Olist_OCons @ SV1381 @ ( c_List_Olist_ONil @ SV1021 ) @ SV1021 ) @ SV1021 ) )
| ( SV709 = SV1381 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2983]) ).
thf(3244,plain,
! [SV1022: $i,SV1382: $i,SV710: $i,SV316: $i] :
( ( ( ~ ( c_List_Olist__all @ SV316 @ ( c_List_Oappend @ SV710 @ SV1382 @ SV1022 ) @ SV1022 ) )
= $true )
| ( ( c_List_Olist__all @ SV316 @ SV710 @ SV1022 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2984]) ).
thf(3245,plain,
! [SV1023: $i,SV711: $i,SV1383: $i,SV317: $i] :
( ( ( ~ ( c_List_Olist__all @ SV317 @ ( c_List_Oappend @ SV1383 @ SV711 @ SV1023 ) @ SV1023 ) )
= $true )
| ( ( c_List_Olist__all @ SV317 @ SV711 @ SV1023 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2985]) ).
thf(3246,plain,
! [SV1384: $i,SV1245: $i,SV1025: $i,SV713: $i,SV319: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV319 @ ( c_List_Olist_Olist__case @ SV713 @ SV1025 @ ( c_List_Olist_OCons @ SV1245 @ SV1384 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV319 @ ( hAPP @ ( hAPP @ SV1025 @ SV1245 ) @ SV1384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2986]) ).
thf(3247,plain,
! [SV1385: $i,SV1246: $i,SV1026: $i,SV714: $i,SV320: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_List_Olist_Olist__case @ SV714 @ SV1026 @ ( c_List_Olist_OCons @ SV1246 @ SV1385 @ t_b ) @ t_a @ t_b ) ) )
| ( hBOOL @ ( hAPP @ SV320 @ ( hAPP @ ( hAPP @ SV1026 @ SV1246 ) @ SV1385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2987]) ).
thf(3248,plain,
! [SV321: $i,SV1386: $i,SV1247: $i] :
( ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV1247 @ SV1386 @ SV321 ) @ SV321 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1386 @ SV321 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV321 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2988]) ).
thf(3249,plain,
! [SV1387: $i,SV1248: $i,SV1027: $i,SV715: $i,SV322: $i] :
( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV322 @ SV715 @ SV1027 @ SV1248 ) @ SV715 @ SV1387 @ SV1248 )
= ( c_List_Olist__update @ SV322 @ SV715 @ SV1387 @ SV1248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2989]) ).
thf(3250,plain,
! [SV328: $i,SV1388: $i,SV1253: $i] :
( ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV1253 @ SV1388 @ SV328 ) @ SV328 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1388 @ SV328 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV328 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2994]) ).
thf(3251,plain,
! [SV1033: $i,SV330: $i] :
( ( ( hBOOL @ ( hAPP @ SV330 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV330 @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV330 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV330 @ SV1033 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2996]) ).
thf(3252,plain,
! [SV1255: $i,SV1034: $i,SV723: $i,SV333: $i] :
( ( ( ( c_List_Olist_ONil @ SV333 )
!= ( c_List_Omap @ SV723 @ SV1034 @ SV1255 @ SV333 ) )
= $true )
| ( ( SV1034
= ( c_List_Olist_ONil @ SV1255 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2997]) ).
thf(3253,plain,
! [SV1035: $i,SV334: $i] :
( ( ( hBOOL @ ( hAPP @ SV334 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV334 @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV334 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV334 @ SV1035 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2998]) ).
thf(3254,plain,
! [SV1036: $i,SV343: $i] :
( ( ( hBOOL @ ( hAPP @ SV343 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV343 @ ( v_sko__List__Xlast__Xinduct__2 @ SV343 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV343 @ SV1036 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3000]) ).
thf(3255,plain,
! [SV1037: $i,SV345: $i] :
( ( ( hBOOL @ ( hAPP @ SV345 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV345 @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV345 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV345 @ SV1037 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3256,plain,
! [SV1038: $i,SV347: $i] :
( ( ( hBOOL @ ( hAPP @ SV347 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV347 @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV347 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV347 @ SV1038 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3002]) ).
thf(3257,plain,
! [SV1039: $i,SV348: $i] :
( ( ( hBOOL @ ( hAPP @ SV348 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV348 @ ( v_sko__List__Xfoldl__Xinduct__2 @ SV348 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV348 @ SV1039 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3003]) ).
thf(3258,plain,
! [SV1256: $i,SV736: $i,SV353: $i] :
( ( ( hBOOL @ ( hAPP @ SV353 @ ( c_List_Olist_Olist__case @ SV736 @ SV1256 @ ( c_List_Olist_ONil @ t_b ) @ t_a @ t_b ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV353 @ SV736 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3004]) ).
thf(3259,plain,
! [SV1041: $i,SV355: $i] :
( ( ( hBOOL @ ( hAPP @ SV355 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV355 @ ( v_sko__List__Xzip__Xinduct__2 @ SV355 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV355 @ SV1041 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3006]) ).
thf(3260,plain,
! [SV1043: $i,SV358: $i] :
( ( ( hBOOL @ ( hAPP @ SV358 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV358 @ ( v_sko__List__Xlistset__Xinduct__2 @ SV358 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV358 @ SV1043 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3007]) ).
thf(3261,plain,
! [SV1045: $i,SV360: $i] :
( ( ( hBOOL @ ( hAPP @ SV360 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV360 @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV360 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV360 @ SV1045 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3009]) ).
thf(3262,plain,
! [SV1046: $i,SV361: $i] :
( ( ( hBOOL @ ( hAPP @ SV361 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV361 @ ( v_sko__List__Xtake__Xinduct__2 @ SV361 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV361 @ SV1046 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3010]) ).
thf(3263,plain,
! [SV1051: $i,SV369: $i] :
( ( ( hBOOL @ ( hAPP @ SV369 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV369 @ ( v_sko__List__Xconcat__Xinduct__2 @ SV369 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV369 @ SV1051 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3012]) ).
thf(3264,plain,
! [SV1054: $i,SV373: $i] :
( ( ( hBOOL @ ( hAPP @ SV373 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV373 @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV373 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV373 @ SV1054 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3015]) ).
thf(3265,plain,
! [SV1057: $i,SV376: $i] :
( ( ( hBOOL @ ( hAPP @ SV376 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV376 @ ( v_sko__List__Xremove1__Xinduct__2 @ SV376 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV376 @ SV1057 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3266,plain,
! [SV1059: $i,SV379: $i] :
( ( ( hBOOL @ ( hAPP @ SV379 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV379 @ ( v_sko__List__Xlist__Xinduct__2 @ SV379 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV379 @ SV1059 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3020]) ).
thf(3267,plain,
! [SV1061: $i,SV383: $i] :
( ( ( hBOOL @ ( hAPP @ SV383 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV383 @ ( v_sko__List__Xmap__Xinduct__2 @ SV383 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV383 @ SV1061 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3021]) ).
thf(3268,plain,
! [SV1262: $i,SV1062: $i,SV756: $i,SV384: $i] :
( ( ( ( c_List_Olist__update @ SV384 @ SV756 @ SV1062 @ SV1262 )
!= ( c_List_Olist_ONil @ SV1262 ) )
= $true )
| ( ( SV384
= ( c_List_Olist_ONil @ SV1262 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3022]) ).
thf(3269,plain,
! [SV1263: $i,SV1064: $i,SV760: $i,SV388: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV388 ) @ SV760 )
!= ( c_List_Olist_OCons @ SV1064 @ SV1263 @ SV388 ) )
= $true )
| ( ( SV760
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV388 ) @ SV1263 ) @ ( c_List_Olist_OCons @ SV1064 @ ( c_List_Olist_ONil @ SV388 ) @ SV388 ) @ SV388 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3023]) ).
thf(3270,plain,
! [SV1266: $i,SV1068: $i,SV764: $i,SV393: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV393 @ ( c_Message_Oagent_Oagent__case @ SV764 @ SV1068 @ SV1266 @ c_Message_Oagent_OSpy @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV393 @ SV1266 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3026]) ).
thf(3271,plain,
! [SV768: $i,SV1071: $i,SV398: $i] :
( ( ( c_List_Olist__all @ SV398 @ SV1071 @ SV768 )
= $false )
| ( ( c_List_Olist__all @ SV398 @ ( hAPP @ ( c_List_Orev @ SV768 ) @ SV1071 ) @ SV768 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3027]) ).
thf(3272,plain,
! [SV769: $i,SV1072: $i,SV399: $i] :
( ( ( c_List_Olist__all @ SV399 @ ( hAPP @ ( c_List_Orev @ SV1072 ) @ SV769 ) @ SV1072 )
= $false )
| ( ( c_List_Olist__all @ SV399 @ SV769 @ SV1072 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3028]) ).
thf(3273,plain,
! [SV1389: $i,SV1268: $i,SV1074: $i,SV772: $i,SV403: $i] :
( ( ( c_List_Olist__all2 @ SV403 @ ( hAPP @ ( c_List_Orev @ SV772 ) @ SV1074 ) @ ( hAPP @ ( c_List_Orev @ SV1268 ) @ SV1389 ) @ SV772 @ SV1268 )
| ~ ( c_List_Olist__all2 @ SV403 @ SV1074 @ SV1389 @ SV772 @ SV1268 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3030]) ).
thf(3274,plain,
! [SV1390: $i,SV1269: $i,SV1075: $i,SV773: $i,SV404: $i] :
( ( ( c_List_Olist__all2 @ SV404 @ SV773 @ SV1075 @ SV1269 @ SV1390 )
| ~ ( c_List_Olist__all2 @ SV404 @ ( hAPP @ ( c_List_Orev @ SV1269 ) @ SV773 ) @ ( hAPP @ ( c_List_Orev @ SV1390 ) @ SV1075 ) @ SV1269 @ SV1390 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3031]) ).
thf(3275,plain,
! [SV1391: $i,SV1271: $i,SV1078: $i,SV779: $i,SV410: $i] :
( ( ( c_List_Olist__all2 @ SV410 @ ( hAPP @ ( c_List_Orev @ SV779 ) @ SV1078 ) @ SV1271 @ SV779 @ SV1391 )
| ~ ( c_List_Olist__all2 @ SV410 @ SV1078 @ ( hAPP @ ( c_List_Orev @ SV1391 ) @ SV1271 ) @ SV779 @ SV1391 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3035]) ).
thf(3276,plain,
! [SV1392: $i,SV1272: $i,SV1079: $i,SV780: $i,SV411: $i] :
( ( ( c_List_Olist__all2 @ SV411 @ SV780 @ ( hAPP @ ( c_List_Orev @ SV1079 ) @ SV1272 ) @ SV1392 @ SV1079 )
| ~ ( c_List_Olist__all2 @ SV411 @ ( hAPP @ ( c_List_Orev @ SV1392 ) @ SV780 ) @ SV1272 @ SV1392 @ SV1079 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3036]) ).
thf(3277,plain,
! [SV1081: $i,SV782: $i,SV413: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV413 ) @ SV782 )
= ( c_List_Olist_OCons @ SV1081 @ ( c_List_Olist_ONil @ SV413 ) @ SV413 ) )
= $false )
| ( ( SV782
= ( c_List_Olist_OCons @ SV1081 @ ( c_List_Olist_ONil @ SV413 ) @ SV413 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3037]) ).
thf(3278,plain,
! [SV1082: $i,SV783: $i,SV414: $i] :
( ( ( ( c_List_Olist_OCons @ SV414 @ ( c_List_Olist_ONil @ SV783 ) @ SV783 )
= ( hAPP @ ( c_List_Orev @ SV783 ) @ SV1082 ) )
= $false )
| ( ( SV1082
= ( c_List_Olist_OCons @ SV414 @ ( c_List_Olist_ONil @ SV783 ) @ SV783 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3038]) ).
thf(3279,plain,
! [SV1083: $i,SV787: $i,SV420: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV420 ) @ SV787 )
= ( hAPP @ ( c_List_Orev @ SV420 ) @ SV1083 ) )
= $false )
| ( ( SV787 = SV1083 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3040]) ).
thf(3280,plain,
! [SV796: $i,SV430: $i,SV1273: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ SV1273 ) @ SV430 ) @ SV796 ) )
= $false )
| ( ( SV430 = SV796 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3045]) ).
thf(3281,plain,
! [SV1275: $i,SV1085: $i,SV798: $i,SV432: $i,SV2: $i] :
( ( ( c_Event_Oevent_OGets @ SV2 @ SV432 )
= ( c_Event_Oevent_OSays @ SV798 @ SV1085 @ SV1275 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3047]) ).
thf(3282,plain,
! [SV1276: $i,SV1086: $i,SV799: $i,SV433: $i,SV3: $i] :
( ( ( c_Event_Oevent_OSays @ SV3 @ SV433 @ SV799 )
= ( c_Event_Oevent_OGets @ SV1086 @ SV1276 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3048]) ).
thf(3283,plain,
! [SV1393: $i,SV1277: $i,SV1088: $i,SV801: $i,SV435: $i,SV5: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV5 @ SV435 @ SV801 )
!= ( c_Event_Oevent_OSays @ SV1088 @ SV1277 @ SV1393 ) )
| ( SV801 = SV1393 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3049]) ).
thf(3284,plain,
! [SV1278: $i,SV1089: $i,SV802: $i,SV436: $i,SV6: $i] :
( ( ( ! [SY3668: $i] :
( ( c_Event_Oevent_OSays @ SV6 @ SV436 @ SV802 )
!= ( c_Event_Oevent_OSays @ SV1089 @ SV1278 @ SY3668 ) ) )
= $true )
| ( ( SV436 = SV1278 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3050]) ).
thf(3285,plain,
! [SV1394: $i,SV1090: $i,SV803: $i,SV437: $i,SV7: $i] :
( ( ( ! [SY3727: $i] :
( ( c_Event_Oevent_OSays @ SV7 @ SV437 @ SV803 )
!= ( c_Event_Oevent_OSays @ SV1090 @ SV1394 @ SY3727 ) ) )
= $true )
| ( ( SV7 = SV1090 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3051]) ).
thf(3286,plain,
! [SV1395: $i,SV1093: $i,SV808: $i,SV442: $i,SV12: $i] :
( ( ( ( c_List_Oappend @ SV12 @ SV442 @ SV808 )
!= ( c_List_Oappend @ SV1093 @ SV1395 @ SV808 ) )
= $true )
| ( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV808 ) ) @ SV12 @ SV808 )
= SV1093 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV12 @ ( tc_List_Olist @ SV808 ) ) @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV808 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3054]) ).
thf(3287,plain,
! [SV1396: $i,SV1095: $i,SV810: $i,SV444: $i,SV14: $i] :
( ( ( ( c_List_Oappend @ SV14 @ SV444 @ SV810 )
!= ( c_List_Oappend @ SV1095 @ SV1396 @ SV810 ) )
= $true )
| ( ( ( SV14
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ SV1095 @ SV810 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1095 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3055]) ).
thf(3288,plain,
! [SV1279: $i,SV1096: $i,SV811: $i,SV445: $i,SV15: $i] :
( ( ( ( c_List_Oappend @ SV15 @ SV445 @ SV811 )
!= ( c_List_Oappend @ SV1096 @ SV1279 @ SV811 ) )
= $true )
| ( ( ( SV445
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ SV1096 @ SV811 ) @ SV1279 @ SV811 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ ( c_Nat_Osize__class_Osize @ SV1096 @ ( tc_List_Olist @ SV811 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3056]) ).
thf(3289,plain,
! [SV1280: $i,SV1097: $i,SV812: $i,SV446: $i,SV16: $i] :
( ( ( ( c_List_Oappend @ SV16 @ SV446 @ SV812 )
!= ( c_List_Oappend @ SV1097 @ SV1280 @ SV812 ) )
= $true )
| ( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1097 @ ( tc_List_Olist @ SV812 ) ) @ SV16 @ SV812 ) @ SV446 @ SV812 )
= SV1280 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV16 @ ( tc_List_Olist @ SV812 ) ) @ ( c_Nat_Osize__class_Osize @ SV1097 @ ( tc_List_Olist @ SV812 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3057]) ).
thf(3290,plain,
! [SV1281: $i,SV1099: $i,SV814: $i,SV448: $i,SV18: $i] :
( ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Message_Oagent_Oagent__case @ SV448 @ SV814 @ SV1099 @ SV1281 @ t_a ) ) )
= $true )
| ( ( ( SV1281 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV18 @ ( hAPP @ SV814 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV18 @ SV814 @ SV1281 ) ) ) )
| ( SV1281 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3058]) ).
thf(3291,plain,
! [SV1397: $i,SV1282: $i,SV1100: $i,SV815: $i,SV449: $i,SV19: $i] :
( ( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) )
!= ( hAPP @ SV815 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) ) )
| ( SV449 = c_Message_Oagent_OServer )
| ! [SY3728: $i,SY3729: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1282 @ SV19 @ SV1397 @ SV449 @ SV1100 )
= ( c_Message_Oagent_Oagent__case @ SY3728 @ SV815 @ SY3729 @ SV449 @ SV1100 ) )
| ( SV449 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3059]) ).
thf(3292,plain,
! [SV1283: $i,SV1101: $i,SV816: $i,SV450: $i,SV20: $i] :
( ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV816 @ SV1101 @ SV1283 @ t_a ) ) )
= $true )
| ( ( ( SV1283 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV816 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV20 @ SV816 @ SV1283 ) ) ) )
| ( SV1283 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3060]) ).
thf(3293,plain,
! [SV1284: $i,SV1103: $i,SV818: $i,SV452: $i,SV22: $i] :
( ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV452 @ SV818 @ SV1103 @ SV1284 @ t_a ) ) )
= $true )
| ( ( ( SV1284 = c_Message_Oagent_OSpy )
| ( SV1284
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV22 @ SV818 @ SV1284 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV452 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3061]) ).
thf(3294,plain,
! [SV1398: $i,SV1285: $i,SV1104: $i,SV819: $i,SV453: $i,SV23: $i] :
( ( ! [SY3730: $i] :
( ( c_Message_Oagent_Oagent__case @ SV23 @ SV453 @ SV819 @ SV1104 @ SV1285 )
= ( c_Message_Oagent_Oagent__case @ SV23 @ SV1398 @ SY3730 @ SV1104 @ SV1285 ) )
| ( SV1104 = c_Message_Oagent_OSpy )
| ( SV1104
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1104 @ SV453 @ SV1398 @ SV1285 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3062]) ).
thf(3295,plain,
! [SV1286: $i,SV1105: $i,SV820: $i,SV454: $i,SV24: $i] :
( ( ( hBOOL @ ( hAPP @ SV24 @ ( c_Message_Oagent_Oagent__case @ SV454 @ SV820 @ SV1105 @ SV1286 @ t_a ) ) )
= $true )
| ( ( ( SV1286 = c_Message_Oagent_OSpy )
| ( SV1286
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV24 @ SV820 @ SV1286 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ SV454 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3063]) ).
thf(3296,plain,
! [SV1287: $i,SV1106: $i,SV821: $i,SV455: $i,SV25: $i] :
( ( ( hBOOL @ ( hAPP @ SV25 @ ( c_Message_Oagent_Oagent__case @ SV455 @ SV821 @ SV1106 @ SV1287 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV25 @ SV1106 ) )
| ( SV1287
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV25 @ SV821 @ SV1287 ) ) )
| ( SV1287 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3064]) ).
thf(3297,plain,
! [SV1288: $i,SV1107: $i,SV822: $i,SV456: $i,SV26: $i] :
( ( ( SV26
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV26 @ SV456 @ SV822 @ SV1107 ) ) )
= $true )
| ( ( ( SV26 = c_Message_Oagent_OServer )
| ! [SY3674: $i,SY3675: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1288 @ SV456 @ SY3674 @ SV26 @ SV1107 )
= ( c_Message_Oagent_Oagent__case @ SY3675 @ SV822 @ SY3674 @ SV26 @ SV1107 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3065]) ).
thf(3298,plain,
! [SV1289: $i,SV1108: $i,SV823: $i,SV457: $i,SV27: $i] :
( ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Message_Oagent_Oagent__case @ SV457 @ SV823 @ SV1108 @ SV1289 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV27 @ SV1108 ) )
| ( SV1289
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV27 @ SV823 @ SV1289 ) ) )
| ( SV1289 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3066]) ).
thf(3299,plain,
! [SV32: $i,SV1399: $i,SV826: $i,SV460: $i] :
( ( ( ( c_lessequals @ ( hAPP @ SV460 @ SV826 ) @ ( hAPP @ SV1399 @ SV826 ) @ SV32 )
| ! [SY3731: $i] :
~ ( c_lessequals @ SV460 @ SV1399 @ ( tc_fun @ SY3731 @ SV32 ) ) )
= $true )
| ( ( class_HOL_Oord @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3067]) ).
thf(3300,plain,
! [SV1110: $i,SV827: $i,SV461: $i,SV33: $i] :
( ( ( ( hAPP @ SV33 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SV1110 ) )
= ( hAPP @ SV827 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SV1110 ) ) )
= $false )
| ( ( ! [SY3522: $i,SY3523: $i] :
( ( c_Message_Oagent_Oagent__case @ SY3522 @ SV33 @ SY3523 @ SV461 @ SV1110 )
= ( c_Message_Oagent_Oagent__case @ SY3522 @ SV827 @ SY3523 @ SV461 @ SV1110 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3068]) ).
thf(3301,plain,
! [SV1290: $i,SV1111: $i,SV828: $i,SV462: $i,SV34: $i] :
( ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SV462 @ SV828 @ SV1111 @ SV1290 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ SV1111 ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV828 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SV828 @ SV1290 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SV462 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3069]) ).
thf(3302,plain,
! [SV1400: $i,SV37: $i,SV1291: $i,SV465: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV465 @ SV1291 @ SV37 ) @ SV1400 @ SV37 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV465 @ SV1400 @ SV37 ) @ ( c_Divides_Odiv__class_Omod @ SV1291 @ SV1400 @ SV37 ) @ SV37 ) @ SV1400 @ SV37 ) )
= $true )
| ( ( class_Divides_Oring__div @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3070]) ).
thf(3303,plain,
! [SV830: $i,SV39: $i,SV1112: $i,SV467: $i] :
( ( ( hBOOL @ ( hAPP @ SV467 @ SV1112 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV39 @ SV467 @ SV830 ) @ SV1112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3071]) ).
thf(3304,plain,
! [SV41: $i,SV832: $i,SV469: $i] :
( ( ( c_lessequals @ SV469 @ SV832 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV469 @ SV41 @ tc_nat ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV41 @ SV469 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV832 @ SV469 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV41 @ SV832 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3072]) ).
thf(3305,plain,
! [SV45: $i,SV835: $i,SV473: $i] :
( ( ( ~ ( c_lessequals @ SV473 @ SV835 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV473 @ SV45 @ tc_nat )
| ( SV45 = SV835 ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV45 @ SV473 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV835 @ SV473 @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3073]) ).
thf(3306,plain,
! [SV1401: $i,SV1292: $i,SV46: $i,SV474: $i] :
( ( ( ( ( c_HOL_Ominus__class_Ominus @ SV474 @ SV474 @ SV46 )
!= ( c_HOL_Ominus__class_Ominus @ SV1292 @ SV1401 @ SV46 ) )
| ( SV1292 = SV1401 ) )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3074]) ).
thf(3307,plain,
! [SV47: $i,SV1293: $i,SV475: $i] :
( ( ( ! [SY3678: $i] :
( ( c_HOL_Ominus__class_Ominus @ SV475 @ SV1293 @ SV47 )
!= ( c_HOL_Ominus__class_Ominus @ SY3678 @ SY3678 @ SV47 ) ) )
= $true )
| ( ( SV475 = SV1293 )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3075]) ).
thf(3308,plain,
! [SV476: $i,SV1113: $i,SV48: $i] :
( ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SV1113 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV476 @ SV1113 @ tc_nat ) @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV1113 @ SV476 @ tc_nat )
| ~ ( c_lessequals @ SV1113 @ SV48 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV48 @ SV476 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3076]) ).
thf(3309,plain,
! [SV477: $i,SV836: $i,SV49: $i] :
( ( ( c_lessequals @ SV49 @ SV836 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV477 @ SV836 @ tc_nat )
| ~ ( c_lessequals @ SV477 @ SV49 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV49 @ SV477 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV836 @ SV477 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3077]) ).
thf(3310,plain,
! [SV1402: $i,SV53: $i,SV1294: $i,SV481: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV481 @ SV1294 @ SV53 ) @ SV1402 @ SV53 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV481 @ ( c_Divides_Odiv__class_Omod @ SV1294 @ SV1402 @ SV53 ) @ SV53 ) @ SV1402 @ SV53 ) )
= $true )
| ( ( class_Divides_Oring__div @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3080]) ).
thf(3311,plain,
! [SV1403: $i,SV54: $i,SV1295: $i,SV482: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV482 @ SV1295 @ SV54 ) @ SV1403 @ SV54 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ ( c_Divides_Odiv__class_Omod @ SV482 @ SV1403 @ SV54 ) @ SV1295 @ SV54 ) @ SV1403 @ SV54 ) )
= $true )
| ( ( class_Divides_Oring__div @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3081]) ).
thf(3312,plain,
! [SV1115: $i,SV840: $i,SV483: $i,SV1404: $i,SV55: $i] :
( ( ( ~ ( c_Fun_Oinj__on @ SV55 @ ( c_Set_Oinsert @ SV1404 @ SV483 @ SV840 ) @ SV840 @ SV1115 ) )
= $true )
| ( ( c_Fun_Oinj__on @ SV55 @ SV483 @ SV840 @ SV1115 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3082]) ).
thf(3313,plain,
! [SV485: $i,SV842: $i,SV57: $i,SV1296: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV1296 @ SV57 @ SV842 ) @ SV485 @ ( tc_fun @ SV842 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV57 @ SV485 @ ( tc_fun @ SV842 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3083]) ).
thf(3314,plain,
! [SV486: $i,SV1116: $i,SV843: $i,SV58: $i] :
( ( ( c_lessequals @ SV58 @ SV843 @ ( tc_fun @ SV1116 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV58 @ ( c_Set_Oinsert @ SV486 @ SV843 @ SV1116 ) @ ( tc_fun @ SV1116 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3084]) ).
thf(3315,plain,
! [SV488: $i,SV1405: $i,SV61: $i,SV1118: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1118 @ SV61 @ SV1405 ) @ SV488 ) ) )
= $true )
| ( ( SV1118 = SV488 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV61 @ SV488 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3086]) ).
thf(3316,plain,
! [SV1119: $i,SV65: $i,SV492: $i] :
( ( ( c_lessequals @ SV492 @ SV65 @ ( tc_fun @ SV1119 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV65 @ SV492 @ ( tc_fun @ SV1119 @ tc_bool ) ) )
= $true )
| ( ( SV65 = SV492 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3087]) ).
thf(3317,plain,
! [SV493: $i,SV66: $i] :
( ( ( c_lessequals @ SV66 @ SV493 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV493 @ SV66 @ tc_nat )
= $false )
| ( ( SV66 = SV493 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3088]) ).
thf(3318,plain,
! [SV1120: $i,SV67: $i,SV494: $i] :
( ( ( c_lessequals @ SV494 @ SV67 @ ( tc_fun @ SV1120 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV67 @ SV494 @ ( tc_fun @ SV1120 @ tc_bool ) ) )
= $true )
| ( ( SV67 = SV494 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3319,plain,
! [SV68: $i,SV1298: $i,SV1121: $i] :
( ( ( SV1121 = SV1298 )
= $true )
| ( ( ~ ( c_lessequals @ SV1298 @ SV1121 @ SV68 )
| ~ ( c_lessequals @ SV1121 @ SV1298 @ SV68 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3090]) ).
thf(3320,plain,
! [SV69: $i,SV1299: $i,SV1122: $i] :
( ( ( SV1122 = SV1299 )
= $true )
| ( ( ~ ( c_lessequals @ SV1299 @ SV1122 @ SV69 )
| ~ ( c_lessequals @ SV1122 @ SV1299 @ SV69 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3091]) ).
thf(3321,plain,
! [SV70: $i,SV1300: $i,SV1123: $i] :
( ( ( SV1123 = SV1300 )
= $true )
| ( ( ~ ( c_lessequals @ SV1123 @ SV1300 @ SV70 )
| ~ ( c_lessequals @ SV1300 @ SV1123 @ SV70 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3092]) ).
thf(3322,plain,
! [SV1124: $i,SV847: $i,SV495: $i,SV71: $i] :
( ( ( class_Divides_Oring__div @ SV71 )
= $false )
| ( ( ( ( c_Divides_Odiv__class_Omod @ SV495 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SV1124 @ SV847 @ SV71 ) )
| ! [SY3531: $i,SY3532: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SY3531 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY3532 @ SV847 @ SV71 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3531 @ SV495 @ SV71 ) @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3532 @ SV1124 @ SV71 ) @ SV847 @ SV71 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3093]) ).
thf(3323,plain,
! [SV74: $i,SV1301: $i,SV498: $i] :
( ( ( c_lessequals @ SV498 @ SV1301 @ SV74 )
= $true )
| ( ( ! [SY3681: $i] :
( ~ ( c_lessequals @ SV498 @ SY3681 @ SV74 )
| ~ ( c_lessequals @ SY3681 @ SV1301 @ SV74 ) ) )
= $true )
| ( ( class_Orderings_Oorder @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3094]) ).
thf(3324,plain,
! [SV75: $i,SV1302: $i,SV499: $i] :
( ( ( c_lessequals @ SV499 @ SV1302 @ SV75 )
= $true )
| ( ( ! [SY3682: $i] :
( ~ ( c_lessequals @ SY3682 @ SV1302 @ SV75 )
| ~ ( c_lessequals @ SV499 @ SY3682 @ SV75 ) ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3095]) ).
thf(3325,plain,
! [SV77: $i,SV500: $i,SV1126: $i] :
( ( ( c_lessequals @ SV1126 @ SV500 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV77 @ SV1126 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV77 @ SV500 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3096]) ).
thf(3326,plain,
! [SV81: $i,SV850: $i,SV503: $i,SV1303: $i] :
( ( ( ~ ( c_lessequals @ SV1303 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV81 @ SV1303 @ ( tc_fun @ SV850 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV81 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3097]) ).
thf(3327,plain,
! [SV1127: $i,SV82: $i,SV851: $i,SV1406: $i,SV504: $i] :
( ( ( ~ ( c_lessequals @ SV504 @ SV1406 @ ( tc_fun @ SV851 @ tc_bool ) )
| ~ ( c_Fun_Oinj__on @ SV82 @ SV1406 @ SV851 @ SV1127 ) )
= $true )
| ( ( c_Fun_Oinj__on @ SV82 @ SV504 @ SV851 @ SV1127 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3098]) ).
thf(3328,plain,
! [SV83: $i,SV505: $i,SV1128: $i] :
( ( ( hBOOL @ ( hAPP @ SV1128 @ SV505 ) )
= $false )
| ( ( ! [SY3534: $i] :
~ ( c_lessequals @ SV1128 @ SV83 @ ( tc_fun @ SY3534 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV83 @ SV505 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3099]) ).
thf(3329,plain,
! [SV506: $i,SV1407: $i,SV86: $i,SV1131: $i] :
( ( ( ~ ( c_lessequals @ SV1131 @ SV86 @ ( tc_fun @ SV1407 @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1131 @ SV506 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV86 @ SV506 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3100]) ).
thf(3330,plain,
! [SV1304: $i,SV1132: $i,SV852: $i,SV507: $i,SV87: $i] :
( ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SV507 @ SV852 @ SV1132 @ SV1304 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV1132 ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV852 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SV852 @ SV1304 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SV507 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3101]) ).
thf(3331,plain,
! [SV1408: $i,SV88: $i,SV853: $i,SV508: $i] :
( ( ( ! [SY3732: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV508 @ SV853 @ SV88 )
!= ( c_HOL_Ominus__class_Ominus @ SV1408 @ SY3732 @ SV88 ) )
| ( c_lessequals @ SY3732 @ SV1408 @ SV88 )
| ~ ( c_lessequals @ SV853 @ SV508 @ SV88 ) ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3102]) ).
thf(3332,plain,
! [SV1409: $i,SV89: $i,SV854: $i,SV509: $i] :
( ( ( ! [SY3733: $i] :
( ( ( c_HOL_Ominus__class_Ominus @ SV509 @ SV854 @ SV89 )
!= ( c_HOL_Ominus__class_Ominus @ SV1409 @ SY3733 @ SV89 ) )
| ( c_lessequals @ SV854 @ SV509 @ SV89 )
| ~ ( c_lessequals @ SY3733 @ SV1409 @ SV89 ) ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV89 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3103]) ).
thf(3333,plain,
! [SV90: $i,SV855: $i,SV1133: $i,SV510: $i] :
( ( ( c_lessequals @ SV510 @ SV1133 @ ( tc_fun @ SV855 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV90 @ SV510 @ SV855 ) @ ( c_Set_Oinsert @ SV90 @ SV1133 @ SV855 ) @ ( tc_fun @ SV855 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3104]) ).
thf(3334,plain,
! [SV92: $i,SV1305: $i,SV1134: $i] :
( ( ( c_lessequals @ SV1134 @ SV1305 @ SV92 )
= $true )
| ( ( c_lessequals @ SV1305 @ SV1134 @ SV92 )
= $true )
| ( ( class_Orderings_Olinorder @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3105]) ).
thf(3335,plain,
! [SV106: $i,SV1306: $i,SV525: $i] :
( ( ( c_lessequals @ SV525 @ SV1306 @ SV106 )
= $true )
| ( ( ! [SY3683: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV525 @ ( c_List_Olist_OCons @ SV1306 @ SY3683 @ SV106 ) @ SV106 ) @ SV106 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3107]) ).
thf(3336,plain,
! [SV107: $i,SV1410: $i,SV1307: $i,SV526: $i] :
( ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV526 @ ( c_List_Olist_OCons @ SV1307 @ SV1410 @ SV107 ) @ SV107 ) @ SV107 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1307 @ SV1410 @ SV107 ) @ SV107 )
| ~ ( c_lessequals @ SV526 @ SV1307 @ SV107 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV107 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3108]) ).
thf(3337,plain,
! [SV869: $i,SV529: $i,SV1135: $i,SV110: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV110 @ ( tc_List_Olist @ SV1135 ) ) @ SV529 @ tc_nat )
= $false )
| ( ( ( c_List_Olist__update @ SV110 @ SV529 @ SV869 @ SV1135 )
= SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3109]) ).
thf(3338,plain,
! [SV1308: $i,SV1137: $i,SV874: $i,SV535: $i,SV116: $i] :
( ( ( hBOOL @ ( hAPP @ SV116 @ ( c_Message_Oagent_Oagent__case @ SV535 @ SV874 @ SV1137 @ SV1308 @ t_a ) ) )
= $true )
| ( ( ( SV1308 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV116 @ ( hAPP @ SV874 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV116 @ SV874 @ SV1308 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ SV535 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3110]) ).
thf(3339,plain,
! [SV1309: $i,SV1138: $i,SV875: $i,SV536: $i,SV117: $i] :
( ( ( ( hAPP @ SV117 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) )
!= ( hAPP @ SV875 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) ) )
= $true )
| ( ( ! [SY3685: $i,SY3686: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1309 @ SV117 @ SY3685 @ SV536 @ SV1138 )
= ( c_Message_Oagent_Oagent__case @ SV1309 @ SV875 @ SY3686 @ SV536 @ SV1138 ) )
| ( SV536 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3111]) ).
thf(3340,plain,
! [SV1310: $i,SV1139: $i,SV876: $i,SV537: $i,SV118: $i] :
( ( ( hBOOL @ ( hAPP @ SV118 @ ( c_Message_Oagent_Oagent__case @ SV537 @ SV876 @ SV1139 @ SV1310 @ t_a ) ) )
= $true )
| ( ( ( SV1310 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( hAPP @ SV118 @ ( hAPP @ SV876 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV118 @ SV876 @ SV1310 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ SV537 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3112]) ).
thf(3341,plain,
! [SV1311: $i,SV1141: $i,SV880: $i,SV541: $i,SV122: $i] :
( ( ( hBOOL @ ( hAPP @ SV122 @ ( c_Message_Oagent_Oagent__case @ SV541 @ SV880 @ SV1141 @ SV1311 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV122 @ SV1141 ) )
| ~ ( hBOOL @ ( hAPP @ SV122 @ ( hAPP @ SV880 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV122 @ SV880 @ SV1311 ) ) ) )
| ( SV1311 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3113]) ).
thf(3342,plain,
! [SV1312: $i,SV1142: $i,SV881: $i,SV542: $i,SV123: $i] :
( ( ( hBOOL @ ( hAPP @ SV123 @ ( c_Message_Oagent_Oagent__case @ SV542 @ SV881 @ SV1142 @ SV1312 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV123 @ SV1142 ) )
| ~ ( hBOOL @ ( hAPP @ SV123 @ ( hAPP @ SV881 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV123 @ SV881 @ SV1312 ) ) ) )
| ( SV1312 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3114]) ).
thf(3343,plain,
! [SV1313: $i,SV1143: $i,SV882: $i,SV543: $i,SV124: $i] :
( ( ( ( hAPP @ SV124 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) )
!= ( hAPP @ SV882 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) ) )
= $true )
| ( ( ( SV543 = c_Message_Oagent_OServer )
| ! [SY3687: $i,SY3688: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1313 @ SV124 @ SY3687 @ SV543 @ SV1143 )
= ( c_Message_Oagent_Oagent__case @ SY3688 @ SV882 @ SY3687 @ SV543 @ SV1143 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3115]) ).
thf(3344,plain,
! [SV883: $i,SV1144: $i,SV125: $i,SV544: $i,SV1411: $i] :
( ( ( ! [SY3734: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1411 @ SV544 @ SY3734 @ SV125 @ SV1144 )
= ( c_Message_Oagent_Oagent__case @ SV1411 @ SV883 @ SY3734 @ SV125 @ SV1144 ) ) )
= $true )
| ( ( SV125
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV125 @ SV544 @ SV883 @ SV1144 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3116]) ).
thf(3345,plain,
! [SV1314: $i,SV1145: $i,SV884: $i,SV545: $i,SV126: $i] :
( ( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV545 @ SV884 @ SV1145 @ SV1314 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV126 @ SV1145 ) )
| ( SV1314
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV884 @ SV1314 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SV545 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3117]) ).
thf(3346,plain,
! [SV1315: $i,SV1146: $i,SV885: $i,SV546: $i,SV127: $i] :
( ( ( hBOOL @ ( hAPP @ SV127 @ ( c_Message_Oagent_Oagent__case @ SV546 @ SV885 @ SV1146 @ SV1315 @ t_a ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV127 @ SV1146 ) )
| ( SV1315
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV127 @ SV885 @ SV1315 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SV546 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3118]) ).
thf(3347,plain,
! [SV886: $i,SV129: $i] :
( ( ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV129 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__Xinduct__1 @ SV129 ) @ ( v_sko__List__Xlist__Xinduct__2 @ SV129 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV129 @ SV886 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3119]) ).
thf(3348,plain,
! [SV887: $i,SV130: $i] :
( ( ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV130 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlist__update__Xinduct__1 @ SV130 ) @ ( v_sko__List__Xlist__update__Xinduct__2 @ SV130 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV130 @ SV887 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3120]) ).
thf(3349,plain,
! [SV888: $i,SV131: $i] :
( ( ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV131 @ ( c_List_Olist_OCons @ ( v_sko__List__XremoveAll__Xinduct__1 @ SV131 ) @ ( v_sko__List__XremoveAll__Xinduct__2 @ SV131 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV131 @ SV888 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3121]) ).
thf(3350,plain,
! [SV889: $i,SV132: $i] :
( ( ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV132 @ ( c_List_Olist_OCons @ ( v_sko__List__XtakeWhile__Xinduct__1 @ SV132 ) @ ( v_sko__List__XtakeWhile__Xinduct__2 @ SV132 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV132 @ SV889 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3122]) ).
thf(3351,plain,
! [SV890: $i,SV133: $i] :
( ( ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV133 @ ( c_List_Olist_OCons @ ( v_sko__List__XdropWhile__Xinduct__1 @ SV133 ) @ ( v_sko__List__XdropWhile__Xinduct__2 @ SV133 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV133 @ SV890 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3123]) ).
thf(3352,plain,
! [SV891: $i,SV134: $i] :
( ( ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV134 @ ( c_List_Olist_OCons @ ( v_sko__List__Xzip__Xinduct__1 @ SV134 ) @ ( v_sko__List__Xzip__Xinduct__2 @ SV134 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV134 @ SV891 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3124]) ).
thf(3353,plain,
! [SV892: $i,SV135: $i] :
( ( ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV135 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistset__Xinduct__1 @ SV135 ) @ ( v_sko__List__Xlistset__Xinduct__2 @ SV135 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV135 @ SV892 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3125]) ).
thf(3354,plain,
! [SV893: $i,SV136: $i] :
( ( ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV136 @ ( c_List_Olist_OCons @ ( v_sko__List__Xremove1__Xinduct__1 @ SV136 ) @ ( v_sko__List__Xremove1__Xinduct__2 @ SV136 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV136 @ SV893 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3126]) ).
thf(3355,plain,
! [SV894: $i,SV137: $i] :
( ( ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV137 @ ( c_List_Olist_OCons @ ( v_sko__List__Xdistinct__Xinduct__1 @ SV137 ) @ ( v_sko__List__Xdistinct__Xinduct__2 @ SV137 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV137 @ SV894 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3127]) ).
thf(3356,plain,
! [SV895: $i,SV138: $i] :
( ( ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV138 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlistsum__Xinduct__1 @ SV138 ) @ ( v_sko__List__Xlistsum__Xinduct__2 @ SV138 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV138 @ SV895 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3128]) ).
thf(3357,plain,
! [SV896: $i,SV139: $i] :
( ( ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_ONil @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV139 @ ( c_List_Olist_OCons @ ( v_sko__List__Xlast__Xinduct__1 @ SV139 ) @ ( v_sko__List__Xlast__Xinduct__2 @ SV139 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV139 @ SV896 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3129]) ).
thf(3358,plain,
! [SV140: $i,SV548: $i,SV897: $i] :
( ( ( ! [SY3290: $i] :
( ( c_List_Oappend @ SV897 @ SY3290 @ SV548 )
= ( c_List_Oappend @ SV140 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SV897 @ SV548 ) @ SY3290 @ SV548 ) @ SV548 ) ) )
= $true )
| ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV897 @ ( tc_List_Olist @ SV548 ) ) @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ tc_nat )
= $true )
| ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SV897 @ SV548 )
= SV140 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3130]) ).
thf(3359,plain,
! [SV898: $i,SV549: $i,SV141: $i] :
( ( ( ! [SY3291: $i] :
( ( c_List_Oappend @ SV141 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) @ SY3291 @ SV549 ) @ SV549 )
= ( c_List_Oappend @ SV898 @ SY3291 @ SV549 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ ( c_Nat_Osize__class_Osize @ SV898 @ ( tc_List_Olist @ SV549 ) ) @ tc_nat ) )
= $true )
| ( ( SV141
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3131]) ).
thf(3360,plain,
! [SV142: $i,SV1412: $i,SV1316: $i,SV550: $i] :
( ( ( ( ( c_Finite__Set_Osetsum @ SV550 @ ( c_List_Oset @ SV1316 @ SV1412 ) @ SV1412 @ SV142 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV550 @ SV1316 @ SV1412 @ SV142 ) @ SV142 ) )
| ~ ( c_List_Odistinct @ SV1316 @ SV1412 ) )
= $true )
| ( ( class_OrderedGroup_Ocomm__monoid__add @ SV142 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3132]) ).
thf(3361,plain,
! [SV1317: $i,SV1148: $i,SV903: $i,SV555: $i,SV148: $i] :
( ( ( hBOOL @ ( hAPP @ SV148 @ ( c_Message_Oagent_Oagent__case @ SV555 @ SV903 @ SV1148 @ SV1317 @ t_a ) ) )
= $true )
| ( ( ( SV1317 = c_Message_Oagent_OSpy )
| ( SV1317
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV148 @ SV903 @ SV1317 ) ) )
| ( SV1317 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3133]) ).
thf(3362,plain,
! [SV1413: $i,SV1318: $i,SV1149: $i,SV904: $i,SV556: $i,SV149: $i] :
( ( ! [SY3735: $i] :
( ! [SY3736: $i] :
( ( c_Message_Oagent_Oagent__case @ SV149 @ SV556 @ SV904 @ SV1149 @ SV1318 )
= ( c_Message_Oagent_Oagent__case @ SV1413 @ SY3735 @ SY3736 @ SV1149 @ SV1318 ) )
| ( SV1149 = c_Message_Oagent_OSpy )
| ( SV1149
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1149 @ SV556 @ SY3735 @ SV1318 ) ) )
| ( SV1149 = c_Message_Oagent_OServer ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3134]) ).
thf(3363,plain,
! [SV1319: $i,SV1150: $i,SV905: $i,SV557: $i,SV150: $i] :
( ( ( hBOOL @ ( hAPP @ SV150 @ ( c_Message_Oagent_Oagent__case @ SV557 @ SV905 @ SV1150 @ SV1319 @ t_a ) ) )
= $true )
| ( ( ( SV1319 = c_Message_Oagent_OSpy )
| ( SV1319
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV150 @ SV905 @ SV1319 ) ) )
| ( SV1319 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3135]) ).
thf(3364,plain,
! [SV153: $i,SV1320: $i,SV1151: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SV1151 @ SV1320 @ SV153 ) @ SV153 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1320 @ SV153 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3136]) ).
thf(3365,plain,
! [SV1414: $i,SV1322: $i,SV1153: $i,SV909: $i,SV562: $i,SV157: $i] :
( ( ( c_List_Olist__all2 @ SV157 @ ( c_List_Otake @ SV562 @ SV909 @ SV1153 ) @ ( c_List_Otake @ SV562 @ SV1322 @ SV1414 ) @ SV1153 @ SV1414 )
| ~ ( c_List_Olist__all2 @ SV157 @ SV909 @ SV1322 @ SV1153 @ SV1414 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3138]) ).
thf(3366,plain,
! [SV1154: $i,SV910: $i,SV563: $i,SV158: $i] :
( ( ( c_List_Odistinct @ ( c_List_Omap @ SV158 @ SV563 @ SV910 @ SV1154 ) @ SV1154 )
= $false )
| ( ( c_Fun_Oinj__on @ SV158 @ ( c_List_Oset @ SV563 @ SV910 ) @ SV910 @ SV1154 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3139]) ).
thf(3367,plain,
! [SV1415: $i,SV1155: $i,SV911: $i,SV564: $i,SV159: $i] :
( ( ( ( c_List_Olist_OCons @ SV159 @ SV564 @ SV911 )
!= ( c_List_Ofilter @ SV1155 @ SV1415 @ SV911 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV1155 @ SV159 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3140]) ).
thf(3368,plain,
! [SV1416: $i,SV1323: $i,SV1157: $i,SV912: $i,SV566: $i,SV161: $i] :
( ( ( c_List_Ofoldl @ SV161 @ SV566 @ ( c_List_Olist_OCons @ SV912 @ SV1157 @ SV1323 ) @ SV1416 @ SV1323 )
= ( c_List_Ofoldl @ SV161 @ ( hAPP @ ( hAPP @ SV161 @ SV566 ) @ SV912 ) @ SV1157 @ SV1416 @ SV1323 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3142]) ).
thf(3369,plain,
! [SV1324: $i,SV162: $i,SV1158: $i] :
( ( ( ( c_List_Oset @ SV1158 @ SV162 )
!= ( c_List_Oset @ SV1324 @ SV162 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV1324 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 )
| ~ ( c_List_Odistinct @ SV1158 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
| ( SV1158 = SV1324 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3143]) ).
thf(3370,plain,
! [SV163: $i,SV1325: $i,SV567: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV567 @ SV1325 @ SV163 ) @ SV163 )
= $true )
| ( ( ! [SY3695: $i] :
~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY3695 @ ( c_List_Olist_OCons @ SV567 @ SV1325 @ SV163 ) @ SV163 ) @ SV163 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV163 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3144]) ).
thf(3371,plain,
! [SV1417: $i,SV1326: $i,SV1159: $i,SV913: $i,SV568: $i,SV164: $i] :
( ( ! [SY3737: $i] :
( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SV568 @ SV913 @ SV1159 ) @ ( c_List_Oappend @ SV1326 @ SV1417 @ SY3737 ) @ SV1159 @ SY3737 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV913 @ SV1417 @ SV1159 @ SY3737 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV568 @ SV1326 @ SV1159 @ SY3737 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3145]) ).
thf(3372,plain,
! [SV1327: $i,SV1160: $i,SV914: $i,SV569: $i,SV165: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
= $true )
| ( ( ! [SY3698: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SY3698 @ ( tc_List_Olist @ SV1160 ) ) )
| ! [SY3699: $i] :
( ( c_List_Olist__all2 @ SY3699 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SY3698 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3699 @ SV165 @ SV914 @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3699 @ SV1327 @ SY3698 @ SV569 @ SV1160 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3146]) ).
thf(3373,plain,
! [SV1328: $i,SV1161: $i,SV915: $i,SV570: $i,SV166: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
= $true )
| ( ( ! [SY3700: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SY3700 @ ( tc_List_Olist @ SV1161 ) ) )
| ! [SY3701: $i] :
( ( c_List_Olist__all2 @ SY3701 @ ( c_List_Oappend @ SY3700 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3701 @ SV915 @ SV166 @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3701 @ SY3700 @ SV1328 @ SV1161 @ SV570 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3147]) ).
thf(3374,plain,
! [SV1418: $i,SV1332: $i,SV1167: $i,SV924: $i,SV581: $i,SV177: $i] :
( ( ( c_List_Olist_Olist__case @ SV177 @ SV581 @ ( c_List_Olist_OCons @ SV924 @ SV1167 @ SV1332 ) @ SV1418 @ SV1332 )
= ( hAPP @ ( hAPP @ SV581 @ SV924 ) @ SV1167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3153]) ).
thf(3375,plain,
! [SV1333: $i,SV1168: $i,SV926: $i,SV583: $i,SV180: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV180 @ SV583 ) @ SV926 ) )
= $true )
| ( ( ! [SY3703: $i,SY3704: $i] :
~ ( c_List_Olist__all2 @ SV180 @ ( c_List_Olist_OCons @ SV583 @ SV1168 @ SV1333 ) @ ( c_List_Olist_OCons @ SV926 @ SY3703 @ SY3704 ) @ SV1333 @ SY3704 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3154]) ).
thf(3376,plain,
! [SV1172: $i,SV931: $i,SV588: $i,SV185: $i] :
( ( ( ~ ( c_Fun_Oinj__on @ SV185 @ ( c_List_Oset @ SV588 @ SV931 ) @ SV931 @ SV1172 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV588 @ SV931 ) )
= $true )
| ( ( c_List_Odistinct @ ( c_List_Omap @ SV185 @ SV588 @ SV931 @ SV1172 ) @ SV1172 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3155]) ).
thf(3377,plain,
! [SV187: $i,SV1173: $i,SV1419: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1419 @ SV1173 @ SV187 ) @ SV187 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ SV1173 @ SV187 )
= $true )
| ( ( class_Orderings_Olinorder @ SV187 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3156]) ).
thf(3378,plain,
! [SV934: $i,SV591: $i,SV1334: $i,SV189: $i] :
( ( ( c_List_Olist__all @ SV189 @ ( c_List_Olist_OCons @ SV1334 @ SV591 @ SV934 ) @ SV934 )
= $false )
| ( ( c_List_Olist__all @ SV189 @ SV591 @ SV934 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3158]) ).
thf(3379,plain,
! [SV1335: $i,SV1174: $i,SV594: $i,SV192: $i] :
( ( ( c_List_Olist__all @ SV192 @ ( c_List_Olist_OCons @ SV594 @ SV1174 @ SV1335 ) @ SV1335 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV192 @ SV594 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3159]) ).
thf(3380,plain,
! [SV1336: $i,SV1175: $i,SV936: $i,SV596: $i,SV194: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
!= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SV1175 ) ) )
= $true )
| ( ( ! [SY3705: $i,SY3706: $i] :
( ( c_List_Olist__all2 @ SV1336 @ ( c_List_Oappend @ SV194 @ SY3705 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SY3706 @ SV1175 ) @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SY3705 @ SY3706 @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SV194 @ SV936 @ SV596 @ SV1175 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3160]) ).
thf(3381,plain,
! [SV1420: $i,SV1337: $i,SV1177: $i,SV942: $i,SV602: $i,SV200: $i] :
( ( ( c_List_Omap @ SV200 @ ( c_List_Olist__update @ SV602 @ SV942 @ SV1177 @ SV1337 ) @ SV1337 @ SV1420 )
= ( c_List_Olist__update @ ( c_List_Omap @ SV200 @ SV602 @ SV1337 @ SV1420 ) @ SV942 @ ( hAPP @ SV200 @ SV1177 ) @ SV1420 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3161]) ).
thf(3382,plain,
! [SV604: $i,SV1179: $i,SV944: $i,SV202: $i] :
( ( ( ~ ( c_List_Olist__all @ SV202 @ SV944 @ SV1179 ) )
= $true )
| ( ( ~ ( c_List_Olist__all @ SV202 @ SV604 @ SV1179 ) )
= $true )
| ( ( c_List_Olist__all @ SV202 @ ( c_List_Oappend @ SV604 @ SV944 @ SV1179 ) @ SV1179 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3163]) ).
thf(3383,plain,
! [SV1421: $i,SV1339: $i,SV1181: $i,SV947: $i,SV607: $i,SV206: $i] :
( ( ( c_List_Ofoldl @ SV206 @ SV607 @ ( c_List_Oappend @ SV947 @ SV1181 @ SV1339 ) @ SV1421 @ SV1339 )
= ( c_List_Ofoldl @ SV206 @ ( c_List_Ofoldl @ SV206 @ SV607 @ SV947 @ SV1421 @ SV1339 ) @ SV1181 @ SV1421 @ SV1339 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3165]) ).
thf(3384,plain,
! [SV1340: $i,SV949: $i,SV611: $i,SV211: $i] :
( ( ( ( c_List_Omap @ SV211 @ SV611 @ SV949 @ SV1340 )
= ( c_List_Olist_ONil @ SV1340 ) )
= $false )
| ( ( SV611
= ( c_List_Olist_ONil @ SV949 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3167]) ).
thf(3385,plain,
! [SV620: $i,SV1341: $i,SV221: $i,SV1184: $i] :
( ( ( c_List_Olist__all2 @ SV1184 @ SV221 @ ( c_List_Olist_ONil @ SV1341 ) @ SV620 @ SV1341 )
= $false )
| ( ( SV221
= ( c_List_Olist_ONil @ SV620 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3173]) ).
thf(3386,plain,
! [SV621: $i,SV222: $i,SV1342: $i,SV1185: $i] :
( ( ( c_List_Olist__all2 @ SV1185 @ ( c_List_Olist_ONil @ SV1342 ) @ SV222 @ SV1342 @ SV621 )
= $false )
| ( ( SV222
= ( c_List_Olist_ONil @ SV621 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3174]) ).
thf(3387,plain,
! [SV1343: $i,SV1187: $i,SV627: $i,SV229: $i] :
( ( ( hBOOL @ ( hAPP @ SV229 @ SV627 ) )
= $false )
| ( ( ( c_List_Ofilter @ SV229 @ ( c_List_Olist_OCons @ SV627 @ SV1187 @ SV1343 ) @ SV1343 )
= ( c_List_Olist_OCons @ SV627 @ ( c_List_Ofilter @ SV229 @ SV1187 @ SV1343 ) @ SV1343 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3179]) ).
thf(3388,plain,
! [SV960: $i,SV1344: $i,SV628: $i,SV230: $i] :
( ( ( c_List_Olistsp @ SV230 @ ( c_List_Oappend @ SV628 @ SV1344 @ SV960 ) @ SV960 )
= $false )
| ( ( c_List_Olistsp @ SV230 @ SV628 @ SV960 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3180]) ).
thf(3389,plain,
! [SV961: $i,SV629: $i,SV1345: $i,SV231: $i] :
( ( ( c_List_Olistsp @ SV231 @ ( c_List_Oappend @ SV1345 @ SV629 @ SV961 ) @ SV961 )
= $false )
| ( ( c_List_Olistsp @ SV231 @ SV629 @ SV961 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3181]) ).
thf(3390,plain,
! [SV1422: $i,SV1188: $i,SV962: $i,SV630: $i,SV232: $i] :
( ( ( ( c_List_Oreplicate @ SV232 @ SV630 @ SV962 )
!= ( c_List_Oreplicate @ SV1188 @ SV1422 @ SV962 ) )
= $true )
| ( ( SV232 = SV1188 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3182]) ).
thf(3391,plain,
! [SV1189: $i,SV963: $i,SV631: $i,SV233: $i] :
( ( ( ( c_List_Oappend @ SV233 @ SV631 @ SV963 )
= ( c_List_Oappend @ SV1189 @ SV631 @ SV963 ) )
= $false )
| ( ( SV233 = SV1189 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3183]) ).
thf(3392,plain,
! [SV1190: $i,SV964: $i,SV632: $i,SV234: $i] :
( ( ( ( c_List_Oappend @ SV234 @ SV632 @ SV964 )
= ( c_List_Oappend @ SV234 @ SV1190 @ SV964 ) )
= $false )
| ( ( SV632 = SV1190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3184]) ).
thf(3393,plain,
! [SV235: $i,SV1346: $i,SV1191: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SV1191 @ SV1346 @ SV235 ) @ SV235 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1346 @ SV235 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3185]) ).
thf(3394,plain,
! [SV1423: $i,SV1192: $i,SV965: $i,SV633: $i,SV236: $i] :
( ( ( ( c_List_Ofilter @ SV236 @ SV633 @ SV965 )
!= ( c_List_Olist_OCons @ SV1192 @ SV1423 @ SV965 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV236 @ SV1192 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3186]) ).
thf(3395,plain,
! [SV1347: $i,SV1193: $i,SV966: $i,SV634: $i,SV237: $i] :
( ( ( c_List_Olist__all2 @ SV237 @ SV634 @ SV966 @ SV1193 @ SV1347 )
= $true )
| ( ( ! [SY3709: $i,SY3710: $i] :
~ ( c_List_Olist__all2 @ SV237 @ ( c_List_Olist_OCons @ SY3709 @ SV634 @ SV1193 ) @ ( c_List_Olist_OCons @ SY3710 @ SV966 @ SV1347 ) @ SV1193 @ SV1347 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3187]) ).
thf(3396,plain,
! [SV1424: $i,SV1350: $i,SV1199: $i,SV972: $i,SV644: $i,SV247: $i] :
( ( ( c_List_Ofoldr @ SV247 @ ( c_List_Oappend @ SV644 @ SV972 @ SV1199 ) @ SV1350 @ SV1199 @ SV1424 )
= ( c_List_Ofoldr @ SV247 @ SV644 @ ( c_List_Ofoldr @ SV247 @ SV972 @ SV1350 @ SV1199 @ SV1424 ) @ SV1199 @ SV1424 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3193]) ).
thf(3397,plain,
! [SV1351: $i,SV1200: $i,SV645: $i,SV248: $i] :
( ( ( hBOOL @ ( hAPP @ SV248 @ SV645 ) )
= $false )
| ( ( c_List_Olist__ex @ SV248 @ ( c_List_Olist_OCons @ SV645 @ SV1200 @ SV1351 ) @ SV1351 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3194]) ).
thf(3398,plain,
! [SV1425: $i,SV1201: $i,SV973: $i,SV646: $i,SV249: $i] :
( ( ( ( c_List_OdropWhile @ SV249 @ SV646 @ SV973 )
!= ( c_List_Olist_OCons @ SV1201 @ SV1425 @ SV973 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV249 @ SV1201 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3195]) ).
thf(3399,plain,
! [SV1426: $i,SV1352: $i,SV1202: $i,SV974: $i,SV647: $i,SV250: $i] :
( ( ! [SY3738: $i] :
( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SV647 @ SV974 @ SV1202 ) @ ( c_List_Olist_OCons @ SV1352 @ SV1426 @ SY3738 ) @ SV1202 @ SY3738 )
| ~ ( c_List_Olist__all2 @ SV250 @ SV974 @ SV1426 @ SV1202 @ SY3738 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SV647 ) @ SV1352 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3196]) ).
thf(3400,plain,
! [SV1427: $i,SV1353: $i,SV1203: $i,SV975: $i,SV648: $i,SV251: $i] :
( ( ! [SY3739: $i] :
( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SV648 @ SV975 @ SV1203 ) @ ( c_List_Olist_OCons @ SV1353 @ SV1427 @ SY3739 ) @ SV1203 @ SY3739 )
| ~ ( c_List_Olist__all2 @ SV251 @ SV975 @ SV1427 @ SV1203 @ SY3739 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SV648 ) @ SV1353 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3197]) ).
thf(3401,plain,
! [SV1428: $i,SV1354: $i,SV1204: $i,SV976: $i,SV649: $i,SV252: $i] :
( ( ! [SY3740: $i] :
( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SV649 @ SV976 @ SV1204 ) @ ( c_List_Olist_OCons @ SV1354 @ SV1428 @ SY3740 ) @ SV1204 @ SY3740 )
| ~ ( c_List_Olist__all2 @ SV252 @ SV976 @ SV1428 @ SV1204 @ SY3740 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SV649 ) @ SV1354 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3198]) ).
thf(3402,plain,
! [SV650: $i,SV1205: $i,SV977: $i,SV253: $i] :
( ( ( c_List_Olist__ex @ SV253 @ SV977 @ SV1205 )
= $false )
| ( ( c_List_Olist__ex @ SV253 @ ( c_List_Olist_OCons @ SV650 @ SV977 @ SV1205 ) @ SV1205 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3403,plain,
! [SV978: $i,SV651: $i,SV1355: $i,SV254: $i] :
( ( ( hBOOL @ ( hAPP @ SV254 @ SV1355 ) )
= $true )
| ( ( ~ ( c_List_Olist__ex @ SV254 @ ( c_List_Olist_OCons @ SV1355 @ SV651 @ SV978 ) @ SV978 ) )
= $true )
| ( ( c_List_Olist__ex @ SV254 @ SV651 @ SV978 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3200]) ).
thf(3404,plain,
! [SV1206: $i,SV652: $i,SV979: $i,SV255: $i,SV1429: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV1429 @ SV255 @ SV979 @ SV652 @ SV1206 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV255 @ ( tc_List_Olist @ SV652 ) )
= ( c_Nat_Osize__class_Osize @ SV979 @ ( tc_List_Olist @ SV1206 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3201]) ).
thf(3405,plain,
! [SV1356: $i,SV653: $i,SV980: $i,SV256: $i] :
( ( ( hBOOL @ ( hAPP @ SV256 @ SV980 ) )
= $false )
| ( ( ( c_List_Ofilter @ SV256 @ ( c_List_Oreplicate @ SV653 @ SV980 @ SV1356 ) @ SV1356 )
= ( c_List_Oreplicate @ SV653 @ SV980 @ SV1356 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3202]) ).
thf(3406,plain,
! [SV1430: $i,SV1357: $i,SV1207: $i,SV981: $i,SV654: $i,SV257: $i] :
( ( ( c_List_Olistrelp @ SV257 @ ( c_List_Olist_OCons @ SV654 @ SV981 @ SV1207 ) @ ( c_List_Olist_OCons @ SV1357 @ SV1430 @ SV1207 ) @ SV1207 )
| ~ ( c_List_Olistrelp @ SV257 @ SV981 @ SV1430 @ SV1207 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV257 @ SV654 ) @ SV1357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3203]) ).
thf(3407,plain,
! [SV1359: $i,SV1209: $i,SV983: $i,SV657: $i,SV260: $i] :
( ( ( ( c_List_Omap @ SV260 @ SV657 @ SV983 @ SV1209 )
!= ( c_List_Omap @ SV260 @ SV1359 @ SV983 @ SV1209 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV657 @ ( tc_List_Olist @ SV983 ) )
= ( c_Nat_Osize__class_Osize @ SV1359 @ ( tc_List_Olist @ SV983 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3206]) ).
thf(3408,plain,
! [SV1210: $i,SV984: $i,SV658: $i,SV261: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV261 @ ( tc_List_Olist @ SV658 ) )
= ( c_Nat_Osize__class_Osize @ SV984 @ ( tc_List_Olist @ SV1210 ) ) )
= $false )
| ( ( ! [SY3622: $i,SY3623: $i] :
( ( c_Map_Omap__upds @ SY3622 @ ( c_List_Oappend @ SV261 @ SY3623 @ SV658 ) @ SV984 @ SV658 @ SV1210 )
= ( c_Map_Omap__upds @ SY3622 @ SV261 @ SV984 @ SV658 @ SV1210 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3207]) ).
thf(3409,plain,
! [SV1211: $i,SV985: $i,SV659: $i,SV262: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV262 @ ( tc_List_Olist @ SV659 ) )
= ( c_Nat_Osize__class_Osize @ SV985 @ ( tc_List_Olist @ SV1211 ) ) )
= $false )
| ( ( ! [SY3624: $i,SY3625: $i] :
( ( c_Map_Omap__upds @ SY3624 @ SV262 @ ( c_List_Oappend @ SV985 @ SY3625 @ SV1211 ) @ SV659 @ SV1211 )
= ( c_Map_Omap__upds @ SY3624 @ SV262 @ SV985 @ SV659 @ SV1211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3208]) ).
thf(3410,plain,
! [SV1212: $i,SV988: $i,SV662: $i,SV265: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV265 @ SV662 )
= ( c_Event_Oevent_OGets @ SV988 @ SV1212 ) )
= $false )
| ( ( SV662 = SV1212 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3211]) ).
thf(3411,plain,
! [SV1360: $i,SV989: $i,SV663: $i,SV266: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV266 @ SV663 )
= ( c_Event_Oevent_OGets @ SV989 @ SV1360 ) )
= $false )
| ( ( SV266 = SV989 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3212]) ).
thf(3412,plain,
! [SV1361: $i,SV1213: $i,SV990: $i,SV664: $i,SV267: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SV664 ) )
!= ( c_Nat_Osize__class_Osize @ SV990 @ ( tc_List_Olist @ SV1213 ) ) )
= $true )
| ( ( ( c_List_Olist__all2 @ SV1361 @ SV267 @ SV990 @ SV664 @ SV1213 )
| ! [SY3719: $i,SY3720: $i] :
~ ( c_List_Olist__all2 @ SV1361 @ ( c_List_Oappend @ SV267 @ SY3719 @ SV664 ) @ ( c_List_Oappend @ SV990 @ SY3720 @ SV1213 ) @ SV664 @ SV1213 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3213]) ).
thf(3413,plain,
! [SV1362: $i,SV1214: $i,SV991: $i,SV665: $i,SV268: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SV665 ) )
!= ( c_Nat_Osize__class_Osize @ SV991 @ ( tc_List_Olist @ SV1214 ) ) )
= $true )
| ( ( ! [SY3721: $i,SY3722: $i] :
( ( c_List_Olist__all2 @ SV1362 @ SY3721 @ SY3722 @ SV665 @ SV1214 )
| ~ ( c_List_Olist__all2 @ SV1362 @ ( c_List_Oappend @ SV268 @ SY3721 @ SV665 ) @ ( c_List_Oappend @ SV991 @ SY3722 @ SV1214 ) @ SV665 @ SV1214 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3214]) ).
thf(3414,plain,
! [SV1363: $i,SV1215: $i,SV666: $i,SV269: $i] :
( ( ( hBOOL @ ( hAPP @ SV269 @ SV666 ) )
= $false )
| ( ( ( c_List_OdropWhile @ SV269 @ ( c_List_Olist_OCons @ SV666 @ SV1215 @ SV1363 ) @ SV1363 )
= ( c_List_OdropWhile @ SV269 @ SV1215 @ SV1363 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3215]) ).
thf(3415,plain,
! [SV1366: $i,SV1218: $i,SV672: $i,SV275: $i] :
( ( ( hBOOL @ ( hAPP @ SV275 @ ( c_Message_Oagent_Oagent__case @ SV672 @ SV1218 @ SV1366 @ c_Message_Oagent_OServer @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV275 @ SV672 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3218]) ).
thf(3416,plain,
! [SV1431: $i,SV1367: $i,SV1220: $i,SV996: $i,SV674: $i,SV277: $i] :
( ( ( c_List_Olist__all2 @ SV277 @ ( c_List_Odrop @ SV674 @ SV996 @ SV1220 ) @ ( c_List_Odrop @ SV674 @ SV1367 @ SV1431 ) @ SV1220 @ SV1431 )
| ~ ( c_List_Olist__all2 @ SV277 @ SV996 @ SV1367 @ SV1220 @ SV1431 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3219]) ).
thf(3417,plain,
! [SV1432: $i,SV1370: $i,SV1222: $i,SV998: $i,SV678: $i,SV281: $i] :
( ( ( c_List_Olist_Olist__rec @ SV281 @ SV678 @ ( c_List_Olist_OCons @ SV998 @ SV1222 @ SV1370 ) @ SV1432 @ SV1370 )
= ( hAPP @ ( hAPP @ ( hAPP @ SV678 @ SV998 ) @ SV1222 ) @ ( c_List_Olist_Olist__rec @ SV281 @ SV678 @ SV1222 @ SV1432 @ SV1370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3222]) ).
thf(3418,plain,
! [SV1371: $i,SV680: $i,SV283: $i,SV1223: $i] :
( ( ( c_List_Odistinct @ ( c_List_Omap @ SV1223 @ SV283 @ SV680 @ SV1371 ) @ SV1371 )
= $false )
| ( ( c_List_Odistinct @ SV283 @ SV680 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3223]) ).
thf(3419,plain,
! [SV685: $i,SV1225: $i,SV1001: $i,SV288: $i] :
( ( ( ~ ( c_List_Olistsp @ SV288 @ SV1001 @ SV1225 ) )
= $true )
| ( ( ~ ( c_List_Olistsp @ SV288 @ SV685 @ SV1225 ) )
= $true )
| ( ( c_List_Olistsp @ SV288 @ ( c_List_Oappend @ SV685 @ SV1001 @ SV1225 ) @ SV1225 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3226]) ).
thf(3420,plain,
! [SV1372: $i,SV1226: $i,SV1003: $i,SV687: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV290 @ ( c_Message_Oagent_Oagent__case @ SV687 @ SV1003 @ SV1226 @ ( c_Message_Oagent_OFriend @ SV1372 ) @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV290 @ ( hAPP @ SV1003 @ SV1372 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3227]) ).
thf(3421,plain,
! [SV1373: $i,SV1227: $i,SV1004: $i,SV688: $i,SV291: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV291 @ ( c_Message_Oagent_Oagent__case @ SV688 @ SV1004 @ SV1227 @ ( c_Message_Oagent_OFriend @ SV1373 ) @ t_a ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV291 @ ( hAPP @ SV1004 @ SV1373 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3228]) ).
thf(3422,plain,
! [SV1433: $i,SV1374: $i,SV1228: $i,SV1006: $i,SV690: $i,SV293: $i] :
( ( ( c_List_Ofoldr @ SV293 @ ( c_List_Olist_OCons @ SV690 @ SV1006 @ SV1228 ) @ SV1374 @ SV1228 @ SV1433 )
= ( hAPP @ ( hAPP @ SV293 @ SV690 ) @ ( c_List_Ofoldr @ SV293 @ SV1006 @ SV1374 @ SV1228 @ SV1433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3229]) ).
thf(3423,plain,
! [SV1231: $i,SV1011: $i,SV696: $i,SV299: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= SV1231 )
= $false )
| ( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 )
!= SV299 )
| ( SV1011
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) )
| ( ( c_List_Oappend @ SV1011 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= ( c_List_Oappend @ SV299 @ SV1231 @ SV696 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3232]) ).
thf(3424,plain,
! [SV1434: $i,SV1232: $i,SV1012: $i,SV697: $i,SV300: $i] :
( ( ( ( c_List_Olist_OCons @ SV300 @ SV697 @ SV1012 )
!= ( c_List_Olist_OCons @ SV1232 @ SV1434 @ SV1012 ) )
= $true )
| ( ( SV300 = SV1232 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3233]) ).
thf(3425,plain,
! [SV1377: $i,SV1233: $i,SV1013: $i,SV698: $i,SV301: $i] :
( ( ( ( c_List_Olist_OCons @ SV301 @ SV698 @ SV1013 )
!= ( c_List_Olist_OCons @ SV1233 @ SV1377 @ SV1013 ) )
= $true )
| ( ( SV698 = SV1377 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3234]) ).
thf(3426,plain,
! [SV302: $i,SV1435: $i,SV1234: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1234 @ SV1435 @ SV302 ) @ SV302 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ SV1234 @ SV302 )
= $true )
| ( ( class_Orderings_Olinorder @ SV302 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3235]) ).
thf(3427,plain,
! [SV303: $i,SV1235: $i,SV1436: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1436 @ SV1235 @ SV303 ) @ SV303 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ SV1235 @ SV303 )
= $true )
| ( ( class_Orderings_Olinorder @ SV303 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3236]) ).
thf(3428,plain,
! [SV699: $i,SV1236: $i,SV1014: $i,SV304: $i] :
( ( ( ~ ( c_List_Olist__all @ SV304 @ SV1014 @ SV1236 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV304 @ SV699 ) ) )
= $true )
| ( ( c_List_Olist__all @ SV304 @ ( c_List_Olist_OCons @ SV699 @ SV1014 @ SV1236 ) @ SV1236 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3237]) ).
thf(3429,plain,
! [SV1378: $i,SV1237: $i,SV1015: $i,SV700: $i,SV305: $i] :
( ( ( ! [SY3726: $i] :
( ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SV700 @ SV1015 @ SV1237 ) @ SV1378 @ SY3726 @ SV1237 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SV1378 @ SY3726 @ SV1237 ) @ SV700 @ SV1015 @ SV1237 ) ) )
= $true )
| ( ( SV700 = SV1378 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3238]) ).
thf(3430,plain,
! [SV306: $i,SV1238: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1238 @ SV306 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremdups @ SV1238 @ SV306 ) @ SV306 )
= $true )
| ( ( class_Orderings_Olinorder @ SV306 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3239]) ).
thf(3431,plain,
! [SV1437: $i,SV1243: $i,SV1020: $i,SV708: $i,SV314: $i] :
( ( ( ( c_List_Oappend @ SV314 @ ( c_List_Olist_OCons @ SV708 @ ( c_List_Olist_ONil @ SV1020 ) @ SV1020 ) @ SV1020 )
!= ( c_List_Oappend @ SV1243 @ ( c_List_Olist_OCons @ SV1437 @ ( c_List_Olist_ONil @ SV1020 ) @ SV1020 ) @ SV1020 ) )
= $true )
| ( ( SV314 = SV1243 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3242]) ).
thf(3432,plain,
! [SV1381: $i,SV1244: $i,SV1021: $i,SV709: $i,SV315: $i] :
( ( ( ( c_List_Oappend @ SV315 @ ( c_List_Olist_OCons @ SV709 @ ( c_List_Olist_ONil @ SV1021 ) @ SV1021 ) @ SV1021 )
!= ( c_List_Oappend @ SV1244 @ ( c_List_Olist_OCons @ SV1381 @ ( c_List_Olist_ONil @ SV1021 ) @ SV1021 ) @ SV1021 ) )
= $true )
| ( ( SV709 = SV1381 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3243]) ).
thf(3433,plain,
! [SV1022: $i,SV1382: $i,SV710: $i,SV316: $i] :
( ( ( c_List_Olist__all @ SV316 @ ( c_List_Oappend @ SV710 @ SV1382 @ SV1022 ) @ SV1022 )
= $false )
| ( ( c_List_Olist__all @ SV316 @ SV710 @ SV1022 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3244]) ).
thf(3434,plain,
! [SV1023: $i,SV711: $i,SV1383: $i,SV317: $i] :
( ( ( c_List_Olist__all @ SV317 @ ( c_List_Oappend @ SV1383 @ SV711 @ SV1023 ) @ SV1023 )
= $false )
| ( ( c_List_Olist__all @ SV317 @ SV711 @ SV1023 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3245]) ).
thf(3435,plain,
! [SV1384: $i,SV1245: $i,SV1025: $i,SV713: $i,SV319: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV319 @ ( c_List_Olist_Olist__case @ SV713 @ SV1025 @ ( c_List_Olist_OCons @ SV1245 @ SV1384 @ t_b ) @ t_a @ t_b ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV319 @ ( hAPP @ ( hAPP @ SV1025 @ SV1245 ) @ SV1384 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3246]) ).
thf(3436,plain,
! [SV1385: $i,SV1246: $i,SV1026: $i,SV714: $i,SV320: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV320 @ ( c_List_Olist_Olist__case @ SV714 @ SV1026 @ ( c_List_Olist_OCons @ SV1246 @ SV1385 @ t_b ) @ t_a @ t_b ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV320 @ ( hAPP @ ( hAPP @ SV1026 @ SV1246 ) @ SV1385 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3247]) ).
thf(3437,plain,
! [SV321: $i,SV1386: $i,SV1247: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV1247 @ SV1386 @ SV321 ) @ SV321 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1386 @ SV321 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV321 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3248]) ).
thf(3438,plain,
! [SV328: $i,SV1388: $i,SV1253: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV1253 @ SV1388 @ SV328 ) @ SV328 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1388 @ SV328 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV328 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3250]) ).
thf(3439,plain,
! [SV1255: $i,SV1034: $i,SV723: $i,SV333: $i] :
( ( ( ( c_List_Olist_ONil @ SV333 )
= ( c_List_Omap @ SV723 @ SV1034 @ SV1255 @ SV333 ) )
= $false )
| ( ( SV1034
= ( c_List_Olist_ONil @ SV1255 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3252]) ).
thf(3440,plain,
! [SV1262: $i,SV1062: $i,SV756: $i,SV384: $i] :
( ( ( ( c_List_Olist__update @ SV384 @ SV756 @ SV1062 @ SV1262 )
= ( c_List_Olist_ONil @ SV1262 ) )
= $false )
| ( ( SV384
= ( c_List_Olist_ONil @ SV1262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3268]) ).
thf(3441,plain,
! [SV1263: $i,SV1064: $i,SV760: $i,SV388: $i] :
( ( ( ( hAPP @ ( c_List_Orev @ SV388 ) @ SV760 )
= ( c_List_Olist_OCons @ SV1064 @ SV1263 @ SV388 ) )
= $false )
| ( ( SV760
= ( c_List_Oappend @ ( hAPP @ ( c_List_Orev @ SV388 ) @ SV1263 ) @ ( c_List_Olist_OCons @ SV1064 @ ( c_List_Olist_ONil @ SV388 ) @ SV388 ) @ SV388 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3269]) ).
thf(3442,plain,
! [SV1266: $i,SV1068: $i,SV764: $i,SV393: $i] :
( ( ( hBOOL @ ( hAPP @ SV393 @ ( c_Message_Oagent_Oagent__case @ SV764 @ SV1068 @ SV1266 @ c_Message_Oagent_OSpy @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV393 @ SV1266 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3270]) ).
thf(3443,plain,
! [SV1389: $i,SV1268: $i,SV1074: $i,SV772: $i,SV403: $i] :
( ( ( c_List_Olist__all2 @ SV403 @ ( hAPP @ ( c_List_Orev @ SV772 ) @ SV1074 ) @ ( hAPP @ ( c_List_Orev @ SV1268 ) @ SV1389 ) @ SV772 @ SV1268 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV403 @ SV1074 @ SV1389 @ SV772 @ SV1268 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3273]) ).
thf(3444,plain,
! [SV1390: $i,SV1269: $i,SV1075: $i,SV773: $i,SV404: $i] :
( ( ( c_List_Olist__all2 @ SV404 @ SV773 @ SV1075 @ SV1269 @ SV1390 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV404 @ ( hAPP @ ( c_List_Orev @ SV1269 ) @ SV773 ) @ ( hAPP @ ( c_List_Orev @ SV1390 ) @ SV1075 ) @ SV1269 @ SV1390 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3274]) ).
thf(3445,plain,
! [SV1391: $i,SV1271: $i,SV1078: $i,SV779: $i,SV410: $i] :
( ( ( c_List_Olist__all2 @ SV410 @ ( hAPP @ ( c_List_Orev @ SV779 ) @ SV1078 ) @ SV1271 @ SV779 @ SV1391 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV410 @ SV1078 @ ( hAPP @ ( c_List_Orev @ SV1391 ) @ SV1271 ) @ SV779 @ SV1391 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3275]) ).
thf(3446,plain,
! [SV1392: $i,SV1272: $i,SV1079: $i,SV780: $i,SV411: $i] :
( ( ( c_List_Olist__all2 @ SV411 @ SV780 @ ( hAPP @ ( c_List_Orev @ SV1079 ) @ SV1272 ) @ SV1392 @ SV1079 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV411 @ ( hAPP @ ( c_List_Orev @ SV1392 ) @ SV780 ) @ SV1272 @ SV1392 @ SV1079 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3276]) ).
thf(3447,plain,
! [SV1393: $i,SV1277: $i,SV1088: $i,SV801: $i,SV435: $i,SV5: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV5 @ SV435 @ SV801 )
!= ( c_Event_Oevent_OSays @ SV1088 @ SV1277 @ SV1393 ) )
= $true )
| ( ( SV801 = SV1393 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3283]) ).
thf(3448,plain,
! [SV1438: $i,SV1278: $i,SV1089: $i,SV802: $i,SV436: $i,SV6: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV6 @ SV436 @ SV802 )
!= ( c_Event_Oevent_OSays @ SV1089 @ SV1278 @ SV1438 ) )
= $true )
| ( ( SV436 = SV1278 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3284]) ).
thf(3449,plain,
! [SV1439: $i,SV1394: $i,SV1090: $i,SV803: $i,SV437: $i,SV7: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV7 @ SV437 @ SV803 )
!= ( c_Event_Oevent_OSays @ SV1090 @ SV1394 @ SV1439 ) )
= $true )
| ( ( SV7 = SV1090 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3285]) ).
thf(3450,plain,
! [SV1395: $i,SV1093: $i,SV808: $i,SV442: $i,SV12: $i] :
( ( ( ( c_List_Oappend @ SV12 @ SV442 @ SV808 )
= ( c_List_Oappend @ SV1093 @ SV1395 @ SV808 ) )
= $false )
| ( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV808 ) ) @ SV12 @ SV808 )
= SV1093 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV12 @ ( tc_List_Olist @ SV808 ) ) @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV808 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3286]) ).
thf(3451,plain,
! [SV1396: $i,SV1095: $i,SV810: $i,SV444: $i,SV14: $i] :
( ( ( ( c_List_Oappend @ SV14 @ SV444 @ SV810 )
= ( c_List_Oappend @ SV1095 @ SV1396 @ SV810 ) )
= $false )
| ( ( ( SV14
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ SV1095 @ SV810 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1095 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3287]) ).
thf(3452,plain,
! [SV1279: $i,SV1096: $i,SV811: $i,SV445: $i,SV15: $i] :
( ( ( ( c_List_Oappend @ SV15 @ SV445 @ SV811 )
= ( c_List_Oappend @ SV1096 @ SV1279 @ SV811 ) )
= $false )
| ( ( ( SV445
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ SV1096 @ SV811 ) @ SV1279 @ SV811 ) )
| ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ ( c_Nat_Osize__class_Osize @ SV1096 @ ( tc_List_Olist @ SV811 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3288]) ).
thf(3453,plain,
! [SV1280: $i,SV1097: $i,SV812: $i,SV446: $i,SV16: $i] :
( ( ( ( c_List_Oappend @ SV16 @ SV446 @ SV812 )
= ( c_List_Oappend @ SV1097 @ SV1280 @ SV812 ) )
= $false )
| ( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1097 @ ( tc_List_Olist @ SV812 ) ) @ SV16 @ SV812 ) @ SV446 @ SV812 )
= SV1280 )
| ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV16 @ ( tc_List_Olist @ SV812 ) ) @ ( c_Nat_Osize__class_Osize @ SV1097 @ ( tc_List_Olist @ SV812 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3289]) ).
thf(3454,plain,
! [SV1099: $i,SV448: $i,SV814: $i,SV18: $i,SV1281: $i] :
( ( ( SV1281 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ ( hAPP @ SV814 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV18 @ SV814 @ SV1281 ) ) ) )
| ( SV1281 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Message_Oagent_Oagent__case @ SV448 @ SV814 @ SV1099 @ SV1281 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3290]) ).
thf(3455,plain,
! [SV1397: $i,SV1282: $i,SV1100: $i,SV815: $i,SV449: $i,SV19: $i] :
( ( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) )
!= ( hAPP @ SV815 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) ) )
= $true )
| ( ( ( SV449 = c_Message_Oagent_OServer )
| ! [SY3728: $i,SY3729: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1282 @ SV19 @ SV1397 @ SV449 @ SV1100 )
= ( c_Message_Oagent_Oagent__case @ SY3728 @ SV815 @ SY3729 @ SV449 @ SV1100 ) )
| ( SV449 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3291]) ).
thf(3456,plain,
! [SV1101: $i,SV450: $i,SV816: $i,SV20: $i,SV1283: $i] :
( ( ( SV1283 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV816 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV20 @ SV816 @ SV1283 ) ) ) )
| ( SV1283 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV816 @ SV1101 @ SV1283 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3292]) ).
thf(3457,plain,
! [SV1103: $i,SV452: $i,SV818: $i,SV22: $i,SV1284: $i] :
( ( ( SV1284 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( SV1284
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV22 @ SV818 @ SV1284 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV22 @ SV452 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV452 @ SV818 @ SV1103 @ SV1284 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3293]) ).
thf(3458,plain,
! [SV1398: $i,SV1285: $i,SV1104: $i,SV819: $i,SV453: $i,SV23: $i] :
( ( ( ! [SY3730: $i] :
( ( c_Message_Oagent_Oagent__case @ SV23 @ SV453 @ SV819 @ SV1104 @ SV1285 )
= ( c_Message_Oagent_Oagent__case @ SV23 @ SV1398 @ SY3730 @ SV1104 @ SV1285 ) ) )
= $true )
| ( ( ( SV1104 = c_Message_Oagent_OSpy )
| ( SV1104
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1104 @ SV453 @ SV1398 @ SV1285 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3294]) ).
thf(3459,plain,
! [SV1105: $i,SV454: $i,SV820: $i,SV24: $i,SV1286: $i] :
( ( ( SV1286 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( SV1286
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV24 @ SV820 @ SV1286 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ SV454 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV24 @ ( c_Message_Oagent_Oagent__case @ SV454 @ SV820 @ SV1105 @ SV1286 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3295]) ).
thf(3460,plain,
! [SV455: $i,SV821: $i,SV1287: $i,SV1106: $i,SV25: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV25 @ SV1106 ) ) )
= $true )
| ( ( ( SV1287
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV25 @ SV821 @ SV1287 ) ) )
| ( SV1287 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV25 @ ( c_Message_Oagent_Oagent__case @ SV455 @ SV821 @ SV1106 @ SV1287 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3296]) ).
thf(3461,plain,
! [SV822: $i,SV1107: $i,SV456: $i,SV1288: $i,SV26: $i] :
( ( ( SV26 = c_Message_Oagent_OServer )
= $true )
| ( ( ! [SY3674: $i,SY3675: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1288 @ SV456 @ SY3674 @ SV26 @ SV1107 )
= ( c_Message_Oagent_Oagent__case @ SY3675 @ SV822 @ SY3674 @ SV26 @ SV1107 ) ) )
= $true )
| ( ( SV26
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV26 @ SV456 @ SV822 @ SV1107 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3297]) ).
thf(3462,plain,
! [SV457: $i,SV823: $i,SV1289: $i,SV1108: $i,SV27: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV27 @ SV1108 ) ) )
= $true )
| ( ( ( SV1289
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV27 @ SV823 @ SV1289 ) ) )
| ( SV1289 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Message_Oagent_Oagent__case @ SV457 @ SV823 @ SV1108 @ SV1289 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3298]) ).
thf(3463,plain,
! [SV32: $i,SV1399: $i,SV826: $i,SV460: $i] :
( ( ( c_lessequals @ ( hAPP @ SV460 @ SV826 ) @ ( hAPP @ SV1399 @ SV826 ) @ SV32 )
= $true )
| ( ( ! [SY3731: $i] :
~ ( c_lessequals @ SV460 @ SV1399 @ ( tc_fun @ SY3731 @ SV32 ) ) )
= $true )
| ( ( class_HOL_Oord @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3299]) ).
thf(3464,plain,
! [SV827: $i,SV1110: $i,SV461: $i,SV33: $i,SV1440: $i] :
( ( ( ! [SY3741: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1440 @ SV33 @ SY3741 @ SV461 @ SV1110 )
= ( c_Message_Oagent_Oagent__case @ SV1440 @ SV827 @ SY3741 @ SV461 @ SV1110 ) ) )
= $true )
| ( ( ( hAPP @ SV33 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SV1110 ) )
= ( hAPP @ SV827 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SV1110 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3300]) ).
thf(3465,plain,
! [SV462: $i,SV1290: $i,SV828: $i,SV1111: $i,SV34: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ SV1111 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV828 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SV828 @ SV1290 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SV462 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SV462 @ SV828 @ SV1111 @ SV1290 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3301]) ).
thf(3466,plain,
! [SV832: $i,SV41: $i,SV469: $i] :
( ( ( c_lessequals @ SV469 @ SV41 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV469 @ SV832 @ tc_nat )
= $false )
| ( ( ( c_HOL_Ominus__class_Ominus @ ( c_HOL_Ominus__class_Ominus @ SV41 @ SV469 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV832 @ SV469 @ tc_nat ) @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV41 @ SV832 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3304]) ).
thf(3467,plain,
! [SV45: $i,SV835: $i,SV473: $i] :
( ( ( c_lessequals @ SV473 @ SV835 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV473 @ SV45 @ tc_nat )
| ( SV45 = SV835 ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV45 @ SV473 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV835 @ SV473 @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3305]) ).
thf(3468,plain,
! [SV1401: $i,SV1292: $i,SV46: $i,SV474: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV474 @ SV474 @ SV46 )
!= ( c_HOL_Ominus__class_Ominus @ SV1292 @ SV1401 @ SV46 ) )
= $true )
| ( ( SV1292 = SV1401 )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3306]) ).
thf(3469,plain,
! [SV1441: $i,SV47: $i,SV1293: $i,SV475: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV475 @ SV1293 @ SV47 )
!= ( c_HOL_Ominus__class_Ominus @ SV1441 @ SV1441 @ SV47 ) )
= $true )
| ( ( SV475 = SV1293 )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV47 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3307]) ).
thf(3470,plain,
! [SV48: $i,SV476: $i,SV1113: $i] :
( ( ( ~ ( c_lessequals @ SV1113 @ SV476 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1113 @ SV48 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SV1113 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV476 @ SV1113 @ tc_nat ) @ tc_nat )
= $false )
| ( ( c_lessequals @ SV48 @ SV476 @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3308]) ).
thf(3471,plain,
! [SV49: $i,SV836: $i,SV477: $i] :
( ( ( ~ ( c_lessequals @ SV477 @ SV836 @ tc_nat ) )
= $true )
| ( ( ~ ( c_lessequals @ SV477 @ SV49 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV49 @ SV836 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV49 @ SV477 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV836 @ SV477 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3309]) ).
thf(3472,plain,
! [SV1115: $i,SV840: $i,SV483: $i,SV1404: $i,SV55: $i] :
( ( ( c_Fun_Oinj__on @ SV55 @ ( c_Set_Oinsert @ SV1404 @ SV483 @ SV840 ) @ SV840 @ SV1115 )
= $false )
| ( ( c_Fun_Oinj__on @ SV55 @ SV483 @ SV840 @ SV1115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3312]) ).
thf(3473,plain,
! [SV488: $i,SV1405: $i,SV61: $i,SV1118: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1118 @ SV61 @ SV1405 ) @ SV488 ) )
= $false )
| ( ( SV1118 = SV488 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV61 @ SV488 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3315]) ).
thf(3474,plain,
! [SV1119: $i,SV492: $i,SV65: $i] :
( ( ( c_lessequals @ SV65 @ SV492 @ ( tc_fun @ SV1119 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV492 @ SV65 @ ( tc_fun @ SV1119 @ tc_bool ) )
= $false )
| ( ( SV65 = SV492 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3316]) ).
thf(3475,plain,
! [SV1120: $i,SV494: $i,SV67: $i] :
( ( ( c_lessequals @ SV67 @ SV494 @ ( tc_fun @ SV1120 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV494 @ SV67 @ ( tc_fun @ SV1120 @ tc_bool ) )
= $false )
| ( ( SV67 = SV494 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3318]) ).
thf(3476,plain,
! [SV68: $i,SV1121: $i,SV1298: $i] :
( ( ( ~ ( c_lessequals @ SV1298 @ SV1121 @ SV68 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1121 @ SV1298 @ SV68 ) )
= $true )
| ( ( SV1121 = SV1298 )
= $true )
| ( ( class_Orderings_Oorder @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3319]) ).
thf(3477,plain,
! [SV69: $i,SV1122: $i,SV1299: $i] :
( ( ( ~ ( c_lessequals @ SV1299 @ SV1122 @ SV69 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1122 @ SV1299 @ SV69 ) )
= $true )
| ( ( SV1122 = SV1299 )
= $true )
| ( ( class_Orderings_Oorder @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3320]) ).
thf(3478,plain,
! [SV70: $i,SV1300: $i,SV1123: $i] :
( ( ( ~ ( c_lessequals @ SV1123 @ SV1300 @ SV70 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1300 @ SV1123 @ SV70 ) )
= $true )
| ( ( SV1123 = SV1300 )
= $true )
| ( ( class_Orderings_Oorder @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3321]) ).
thf(3479,plain,
! [SV1124: $i,SV71: $i,SV847: $i,SV495: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV495 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SV1124 @ SV847 @ SV71 ) )
= $true )
| ( ( ! [SY3531: $i,SY3532: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SY3531 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY3532 @ SV847 @ SV71 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3531 @ SV495 @ SV71 ) @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3532 @ SV1124 @ SV71 ) @ SV847 @ SV71 ) ) ) )
= $true )
| ( ( class_Divides_Oring__div @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3322]) ).
thf(3480,plain,
! [SV1301: $i,SV74: $i,SV1442: $i,SV498: $i] :
( ( ( ~ ( c_lessequals @ SV498 @ SV1442 @ SV74 )
| ~ ( c_lessequals @ SV1442 @ SV1301 @ SV74 ) )
= $true )
| ( ( c_lessequals @ SV498 @ SV1301 @ SV74 )
= $true )
| ( ( class_Orderings_Oorder @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3323]) ).
thf(3481,plain,
! [SV499: $i,SV75: $i,SV1302: $i,SV1443: $i] :
( ( ( ~ ( c_lessequals @ SV1443 @ SV1302 @ SV75 )
| ~ ( c_lessequals @ SV499 @ SV1443 @ SV75 ) )
= $true )
| ( ( c_lessequals @ SV499 @ SV1302 @ SV75 )
= $true )
| ( ( class_Orderings_Opreorder @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3324]) ).
thf(3482,plain,
! [SV500: $i,SV1126: $i,SV77: $i] :
( ( ( c_lessequals @ SV77 @ SV1126 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV1126 @ SV500 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV77 @ SV500 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3325]) ).
thf(3483,plain,
! [SV81: $i,SV850: $i,SV503: $i,SV1303: $i] :
( ( ( c_lessequals @ SV1303 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV81 @ SV1303 @ ( tc_fun @ SV850 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV81 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3326]) ).
thf(3484,plain,
! [SV1127: $i,SV82: $i,SV851: $i,SV1406: $i,SV504: $i] :
( ( ( ~ ( c_lessequals @ SV504 @ SV1406 @ ( tc_fun @ SV851 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_Fun_Oinj__on @ SV82 @ SV1406 @ SV851 @ SV1127 ) )
= $true )
| ( ( c_Fun_Oinj__on @ SV82 @ SV504 @ SV851 @ SV1127 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3327]) ).
thf(3485,plain,
! [SV505: $i,SV1444: $i,SV83: $i,SV1128: $i] :
( ( ( ~ ( c_lessequals @ SV1128 @ SV83 @ ( tc_fun @ SV1444 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV1128 @ SV505 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV83 @ SV505 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3328]) ).
thf(3486,plain,
! [SV506: $i,SV1407: $i,SV86: $i,SV1131: $i] :
( ( ( c_lessequals @ SV1131 @ SV86 @ ( tc_fun @ SV1407 @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1131 @ SV506 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV86 @ SV506 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3329]) ).
thf(3487,plain,
! [SV507: $i,SV1304: $i,SV852: $i,SV1132: $i,SV87: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV1132 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV852 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SV852 @ SV1304 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SV507 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SV507 @ SV852 @ SV1132 @ SV1304 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3330]) ).
thf(3488,plain,
! [SV1445: $i,SV1408: $i,SV88: $i,SV853: $i,SV508: $i] :
( ( ( ( ( c_HOL_Ominus__class_Ominus @ SV508 @ SV853 @ SV88 )
!= ( c_HOL_Ominus__class_Ominus @ SV1408 @ SV1445 @ SV88 ) )
| ( c_lessequals @ SV1445 @ SV1408 @ SV88 )
| ~ ( c_lessequals @ SV853 @ SV508 @ SV88 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3331]) ).
thf(3489,plain,
! [SV1446: $i,SV1409: $i,SV89: $i,SV854: $i,SV509: $i] :
( ( ( ( ( c_HOL_Ominus__class_Ominus @ SV509 @ SV854 @ SV89 )
!= ( c_HOL_Ominus__class_Ominus @ SV1409 @ SV1446 @ SV89 ) )
| ( c_lessequals @ SV854 @ SV509 @ SV89 )
| ~ ( c_lessequals @ SV1446 @ SV1409 @ SV89 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV89 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3332]) ).
thf(3490,plain,
! [SV106: $i,SV1447: $i,SV1306: $i,SV525: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV525 @ ( c_List_Olist_OCons @ SV1306 @ SV1447 @ SV106 ) @ SV106 ) @ SV106 ) )
= $true )
| ( ( c_lessequals @ SV525 @ SV1306 @ SV106 )
= $true )
| ( ( class_Orderings_Olinorder @ SV106 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3335]) ).
thf(3491,plain,
! [SV107: $i,SV1410: $i,SV1307: $i,SV526: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV526 @ ( c_List_Olist_OCons @ SV1307 @ SV1410 @ SV107 ) @ SV107 ) @ SV107 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1307 @ SV1410 @ SV107 ) @ SV107 )
| ~ ( c_lessequals @ SV526 @ SV1307 @ SV107 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3336]) ).
thf(3492,plain,
! [SV1137: $i,SV535: $i,SV874: $i,SV116: $i,SV1308: $i] :
( ( ( SV1308 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV116 @ ( hAPP @ SV874 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV116 @ SV874 @ SV1308 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV116 @ SV535 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV116 @ ( c_Message_Oagent_Oagent__case @ SV535 @ SV874 @ SV1137 @ SV1308 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3338]) ).
thf(3493,plain,
! [SV1309: $i,SV1138: $i,SV875: $i,SV536: $i,SV117: $i] :
( ( ( ( hAPP @ SV117 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) )
= ( hAPP @ SV875 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) ) )
= $false )
| ( ( ! [SY3685: $i,SY3686: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1309 @ SV117 @ SY3685 @ SV536 @ SV1138 )
= ( c_Message_Oagent_Oagent__case @ SV1309 @ SV875 @ SY3686 @ SV536 @ SV1138 ) )
| ( SV536 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3339]) ).
thf(3494,plain,
! [SV1139: $i,SV537: $i,SV876: $i,SV118: $i,SV1310: $i] :
( ( ( SV1310 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV118 @ ( hAPP @ SV876 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV118 @ SV876 @ SV1310 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV118 @ SV537 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV118 @ ( c_Message_Oagent_Oagent__case @ SV537 @ SV876 @ SV1139 @ SV1310 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3340]) ).
thf(3495,plain,
! [SV541: $i,SV1311: $i,SV880: $i,SV1141: $i,SV122: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV122 @ SV1141 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV122 @ ( hAPP @ SV880 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV122 @ SV880 @ SV1311 ) ) ) )
| ( SV1311 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV122 @ ( c_Message_Oagent_Oagent__case @ SV541 @ SV880 @ SV1141 @ SV1311 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3341]) ).
thf(3496,plain,
! [SV542: $i,SV1312: $i,SV881: $i,SV1142: $i,SV123: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV123 @ SV1142 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV123 @ ( hAPP @ SV881 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV123 @ SV881 @ SV1312 ) ) ) )
| ( SV1312 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV123 @ ( c_Message_Oagent_Oagent__case @ SV542 @ SV881 @ SV1142 @ SV1312 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3342]) ).
thf(3497,plain,
! [SV1313: $i,SV1143: $i,SV882: $i,SV543: $i,SV124: $i] :
( ( ( ( hAPP @ SV124 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) )
= ( hAPP @ SV882 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) ) )
= $false )
| ( ( ( SV543 = c_Message_Oagent_OServer )
| ! [SY3687: $i,SY3688: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1313 @ SV124 @ SY3687 @ SV543 @ SV1143 )
= ( c_Message_Oagent_Oagent__case @ SY3688 @ SV882 @ SY3687 @ SV543 @ SV1143 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3343]) ).
thf(3498,plain,
! [SV883: $i,SV1144: $i,SV125: $i,SV1448: $i,SV544: $i,SV1411: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV1411 @ SV544 @ SV1448 @ SV125 @ SV1144 )
= ( c_Message_Oagent_Oagent__case @ SV1411 @ SV883 @ SV1448 @ SV125 @ SV1144 ) )
= $true )
| ( ( SV125
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV125 @ SV544 @ SV883 @ SV1144 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3344]) ).
thf(3499,plain,
! [SV545: $i,SV884: $i,SV1314: $i,SV1145: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV126 @ SV1145 ) ) )
= $true )
| ( ( ( SV1314
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV884 @ SV1314 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SV545 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV545 @ SV884 @ SV1145 @ SV1314 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3345]) ).
thf(3500,plain,
! [SV546: $i,SV885: $i,SV1315: $i,SV1146: $i,SV127: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV127 @ SV1146 ) ) )
= $true )
| ( ( ( SV1315
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV127 @ SV885 @ SV1315 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SV546 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV127 @ ( c_Message_Oagent_Oagent__case @ SV546 @ SV885 @ SV1146 @ SV1315 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3346]) ).
thf(3501,plain,
! [SV140: $i,SV548: $i,SV1449: $i,SV897: $i] :
( ( ( ( c_List_Oappend @ SV897 @ SV1449 @ SV548 )
= ( c_List_Oappend @ SV140 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SV897 @ SV548 ) @ SV1449 @ SV548 ) @ SV548 ) )
= $true )
| ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV897 @ ( tc_List_Olist @ SV548 ) ) @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ tc_nat )
= $true )
| ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV140 @ ( tc_List_Olist @ SV548 ) ) @ SV897 @ SV548 )
= SV140 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3358]) ).
thf(3502,plain,
! [SV1450: $i,SV898: $i,SV549: $i,SV141: $i] :
( ( ( ( c_List_Oappend @ SV141 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) @ SV1450 @ SV549 ) @ SV549 )
= ( c_List_Oappend @ SV898 @ SV1450 @ SV549 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ ( c_Nat_Osize__class_Osize @ SV898 @ ( tc_List_Olist @ SV549 ) ) @ tc_nat ) )
= $true )
| ( ( SV141
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3359]) ).
thf(3503,plain,
! [SV142: $i,SV1412: $i,SV1316: $i,SV550: $i] :
( ( ( ( c_Finite__Set_Osetsum @ SV550 @ ( c_List_Oset @ SV1316 @ SV1412 ) @ SV1412 @ SV142 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV550 @ SV1316 @ SV1412 @ SV142 ) @ SV142 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV1316 @ SV1412 ) )
= $true )
| ( ( class_OrderedGroup_Ocomm__monoid__add @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3360]) ).
thf(3504,plain,
! [SV1148: $i,SV555: $i,SV903: $i,SV148: $i,SV1317: $i] :
( ( ( SV1317 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( SV1317
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV148 @ SV903 @ SV1317 ) ) )
| ( SV1317 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV148 @ ( c_Message_Oagent_Oagent__case @ SV555 @ SV903 @ SV1148 @ SV1317 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3361]) ).
thf(3505,plain,
! [SV1451: $i,SV1413: $i,SV1318: $i,SV1149: $i,SV904: $i,SV556: $i,SV149: $i] :
( ( ! [SY3742: $i] :
( ( c_Message_Oagent_Oagent__case @ SV149 @ SV556 @ SV904 @ SV1149 @ SV1318 )
= ( c_Message_Oagent_Oagent__case @ SV1413 @ SV1451 @ SY3742 @ SV1149 @ SV1318 ) )
| ( SV1149 = c_Message_Oagent_OSpy )
| ( SV1149
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1149 @ SV556 @ SV1451 @ SV1318 ) ) )
| ( SV1149 = c_Message_Oagent_OServer ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3362]) ).
thf(3506,plain,
! [SV1150: $i,SV557: $i,SV905: $i,SV150: $i,SV1319: $i] :
( ( ( SV1319 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( SV1319
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV150 @ SV905 @ SV1319 ) ) )
| ( SV1319 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV150 @ ( c_Message_Oagent_Oagent__case @ SV557 @ SV905 @ SV1150 @ SV1319 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3363]) ).
thf(3507,plain,
! [SV1151: $i,SV153: $i,SV1320: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1320 @ SV153 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Odrop @ SV1151 @ SV1320 @ SV153 ) @ SV153 )
= $true )
| ( ( class_Orderings_Olinorder @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3364]) ).
thf(3508,plain,
! [SV1414: $i,SV1322: $i,SV1153: $i,SV909: $i,SV562: $i,SV157: $i] :
( ( ( c_List_Olist__all2 @ SV157 @ ( c_List_Otake @ SV562 @ SV909 @ SV1153 ) @ ( c_List_Otake @ SV562 @ SV1322 @ SV1414 ) @ SV1153 @ SV1414 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV157 @ SV909 @ SV1322 @ SV1153 @ SV1414 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3365]) ).
thf(3509,plain,
! [SV1415: $i,SV1155: $i,SV911: $i,SV564: $i,SV159: $i] :
( ( ( ( c_List_Olist_OCons @ SV159 @ SV564 @ SV911 )
= ( c_List_Ofilter @ SV1155 @ SV1415 @ SV911 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV1155 @ SV159 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3367]) ).
thf(3510,plain,
! [SV1324: $i,SV162: $i,SV1158: $i] :
( ( ( ( c_List_Oset @ SV1158 @ SV162 )
= ( c_List_Oset @ SV1324 @ SV162 ) )
= $false )
| ( ( ~ ( c_List_Odistinct @ SV1324 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 )
| ~ ( c_List_Odistinct @ SV1158 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
| ( SV1158 = SV1324 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3369]) ).
thf(3511,plain,
! [SV163: $i,SV1325: $i,SV567: $i,SV1452: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1452 @ ( c_List_Olist_OCons @ SV567 @ SV1325 @ SV163 ) @ SV163 ) @ SV163 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV567 @ SV1325 @ SV163 ) @ SV163 )
= $true )
| ( ( class_Orderings_Olinorder @ SV163 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3370]) ).
thf(3512,plain,
! [SV1453: $i,SV1417: $i,SV1326: $i,SV1159: $i,SV913: $i,SV568: $i,SV164: $i] :
( ( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SV568 @ SV913 @ SV1159 ) @ ( c_List_Oappend @ SV1326 @ SV1417 @ SV1453 ) @ SV1159 @ SV1453 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV913 @ SV1417 @ SV1159 @ SV1453 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV568 @ SV1326 @ SV1159 @ SV1453 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3371]) ).
thf(3513,plain,
! [SV1327: $i,SV1160: $i,SV914: $i,SV569: $i,SV165: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
= $false )
| ( ( ! [SY3698: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SY3698 @ ( tc_List_Olist @ SV1160 ) ) )
| ! [SY3699: $i] :
( ( c_List_Olist__all2 @ SY3699 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SY3698 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3699 @ SV165 @ SV914 @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3699 @ SV1327 @ SY3698 @ SV569 @ SV1160 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3372]) ).
thf(3514,plain,
! [SV1328: $i,SV1161: $i,SV915: $i,SV570: $i,SV166: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
= $false )
| ( ( ! [SY3700: $i] :
( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SY3700 @ ( tc_List_Olist @ SV1161 ) ) )
| ! [SY3701: $i] :
( ( c_List_Olist__all2 @ SY3701 @ ( c_List_Oappend @ SY3700 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3701 @ SV915 @ SV166 @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3701 @ SY3700 @ SV1328 @ SV1161 @ SV570 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3373]) ).
thf(3515,plain,
! [SV1454: $i,SV926: $i,SV1333: $i,SV1168: $i,SV583: $i,SV180: $i] :
( ( ( ! [SY3743: $i] :
~ ( c_List_Olist__all2 @ SV180 @ ( c_List_Olist_OCons @ SV583 @ SV1168 @ SV1333 ) @ ( c_List_Olist_OCons @ SV926 @ SV1454 @ SY3743 ) @ SV1333 @ SY3743 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ SV180 @ SV583 ) @ SV926 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3375]) ).
thf(3516,plain,
! [SV1172: $i,SV931: $i,SV588: $i,SV185: $i] :
( ( ( c_Fun_Oinj__on @ SV185 @ ( c_List_Oset @ SV588 @ SV931 ) @ SV931 @ SV1172 )
= $false )
| ( ( ~ ( c_List_Odistinct @ SV588 @ SV931 ) )
= $true )
| ( ( c_List_Odistinct @ ( c_List_Omap @ SV185 @ SV588 @ SV931 @ SV1172 ) @ SV1172 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3376]) ).
thf(3517,plain,
! [SV187: $i,SV1173: $i,SV1419: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1419 @ SV1173 @ SV187 ) @ SV187 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV1173 @ SV187 )
= $true )
| ( ( class_Orderings_Olinorder @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3377]) ).
thf(3518,plain,
! [SV1336: $i,SV1175: $i,SV936: $i,SV596: $i,SV194: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SV1175 ) ) )
= $false )
| ( ( ! [SY3705: $i,SY3706: $i] :
( ( c_List_Olist__all2 @ SV1336 @ ( c_List_Oappend @ SV194 @ SY3705 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SY3706 @ SV1175 ) @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SY3705 @ SY3706 @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SV194 @ SV936 @ SV596 @ SV1175 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3380]) ).
thf(3519,plain,
! [SV604: $i,SV1179: $i,SV944: $i,SV202: $i] :
( ( ( c_List_Olist__all @ SV202 @ SV944 @ SV1179 )
= $false )
| ( ( ~ ( c_List_Olist__all @ SV202 @ SV604 @ SV1179 ) )
= $true )
| ( ( c_List_Olist__all @ SV202 @ ( c_List_Oappend @ SV604 @ SV944 @ SV1179 ) @ SV1179 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3382]) ).
thf(3520,plain,
! [SV1422: $i,SV1188: $i,SV962: $i,SV630: $i,SV232: $i] :
( ( ( ( c_List_Oreplicate @ SV232 @ SV630 @ SV962 )
= ( c_List_Oreplicate @ SV1188 @ SV1422 @ SV962 ) )
= $false )
| ( ( SV232 = SV1188 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3390]) ).
thf(3521,plain,
! [SV1191: $i,SV235: $i,SV1346: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1346 @ SV235 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Otake @ SV1191 @ SV1346 @ SV235 ) @ SV235 )
= $true )
| ( ( class_Orderings_Olinorder @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3393]) ).
thf(3522,plain,
! [SV1423: $i,SV1192: $i,SV965: $i,SV633: $i,SV236: $i] :
( ( ( ( c_List_Ofilter @ SV236 @ SV633 @ SV965 )
= ( c_List_Olist_OCons @ SV1192 @ SV1423 @ SV965 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV236 @ SV1192 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3394]) ).
thf(3523,plain,
! [SV1347: $i,SV966: $i,SV1193: $i,SV634: $i,SV1455: $i,SV237: $i] :
( ( ( ! [SY3744: $i] :
~ ( c_List_Olist__all2 @ SV237 @ ( c_List_Olist_OCons @ SV1455 @ SV634 @ SV1193 ) @ ( c_List_Olist_OCons @ SY3744 @ SV966 @ SV1347 ) @ SV1193 @ SV1347 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV237 @ SV634 @ SV966 @ SV1193 @ SV1347 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3395]) ).
thf(3524,plain,
! [SV1425: $i,SV1201: $i,SV973: $i,SV646: $i,SV249: $i] :
( ( ( ( c_List_OdropWhile @ SV249 @ SV646 @ SV973 )
= ( c_List_Olist_OCons @ SV1201 @ SV1425 @ SV973 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV249 @ SV1201 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3398]) ).
thf(3525,plain,
! [SV1456: $i,SV1426: $i,SV1352: $i,SV1202: $i,SV974: $i,SV647: $i,SV250: $i] :
( ( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SV647 @ SV974 @ SV1202 ) @ ( c_List_Olist_OCons @ SV1352 @ SV1426 @ SV1456 ) @ SV1202 @ SV1456 )
| ~ ( c_List_Olist__all2 @ SV250 @ SV974 @ SV1426 @ SV1202 @ SV1456 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SV647 ) @ SV1352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3399]) ).
thf(3526,plain,
! [SV1457: $i,SV1427: $i,SV1353: $i,SV1203: $i,SV975: $i,SV648: $i,SV251: $i] :
( ( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SV648 @ SV975 @ SV1203 ) @ ( c_List_Olist_OCons @ SV1353 @ SV1427 @ SV1457 ) @ SV1203 @ SV1457 )
| ~ ( c_List_Olist__all2 @ SV251 @ SV975 @ SV1427 @ SV1203 @ SV1457 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SV648 ) @ SV1353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3400]) ).
thf(3527,plain,
! [SV1458: $i,SV1428: $i,SV1354: $i,SV1204: $i,SV976: $i,SV649: $i,SV252: $i] :
( ( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SV649 @ SV976 @ SV1204 ) @ ( c_List_Olist_OCons @ SV1354 @ SV1428 @ SV1458 ) @ SV1204 @ SV1458 )
| ~ ( c_List_Olist__all2 @ SV252 @ SV976 @ SV1428 @ SV1204 @ SV1458 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SV649 ) @ SV1354 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3401]) ).
thf(3528,plain,
! [SV978: $i,SV651: $i,SV1355: $i,SV254: $i] :
( ( ( c_List_Olist__ex @ SV254 @ ( c_List_Olist_OCons @ SV1355 @ SV651 @ SV978 ) @ SV978 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV254 @ SV1355 ) )
= $true )
| ( ( c_List_Olist__ex @ SV254 @ SV651 @ SV978 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3403]) ).
thf(3529,plain,
! [SV1206: $i,SV652: $i,SV979: $i,SV255: $i,SV1429: $i] :
( ( ( c_List_Olist__all2 @ SV1429 @ SV255 @ SV979 @ SV652 @ SV1206 )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV255 @ ( tc_List_Olist @ SV652 ) )
= ( c_Nat_Osize__class_Osize @ SV979 @ ( tc_List_Olist @ SV1206 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3404]) ).
thf(3530,plain,
! [SV1430: $i,SV1357: $i,SV1207: $i,SV981: $i,SV654: $i,SV257: $i] :
( ( ( c_List_Olistrelp @ SV257 @ ( c_List_Olist_OCons @ SV654 @ SV981 @ SV1207 ) @ ( c_List_Olist_OCons @ SV1357 @ SV1430 @ SV1207 ) @ SV1207 )
= $true )
| ( ( ~ ( c_List_Olistrelp @ SV257 @ SV981 @ SV1430 @ SV1207 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV257 @ SV654 ) @ SV1357 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3406]) ).
thf(3531,plain,
! [SV1359: $i,SV1209: $i,SV983: $i,SV657: $i,SV260: $i] :
( ( ( ( c_List_Omap @ SV260 @ SV657 @ SV983 @ SV1209 )
= ( c_List_Omap @ SV260 @ SV1359 @ SV983 @ SV1209 ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV657 @ ( tc_List_Olist @ SV983 ) )
= ( c_Nat_Osize__class_Osize @ SV1359 @ ( tc_List_Olist @ SV983 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3407]) ).
thf(3532,plain,
! [SV1210: $i,SV984: $i,SV658: $i,SV261: $i,SV1459: $i] :
( ( ( ! [SY3745: $i] :
( ( c_Map_Omap__upds @ SV1459 @ ( c_List_Oappend @ SV261 @ SY3745 @ SV658 ) @ SV984 @ SV658 @ SV1210 )
= ( c_Map_Omap__upds @ SV1459 @ SV261 @ SV984 @ SV658 @ SV1210 ) ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV261 @ ( tc_List_Olist @ SV658 ) )
= ( c_Nat_Osize__class_Osize @ SV984 @ ( tc_List_Olist @ SV1210 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3408]) ).
thf(3533,plain,
! [SV659: $i,SV1211: $i,SV985: $i,SV262: $i,SV1460: $i] :
( ( ( ! [SY3746: $i] :
( ( c_Map_Omap__upds @ SV1460 @ SV262 @ ( c_List_Oappend @ SV985 @ SY3746 @ SV1211 ) @ SV659 @ SV1211 )
= ( c_Map_Omap__upds @ SV1460 @ SV262 @ SV985 @ SV659 @ SV1211 ) ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV262 @ ( tc_List_Olist @ SV659 ) )
= ( c_Nat_Osize__class_Osize @ SV985 @ ( tc_List_Olist @ SV1211 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3409]) ).
thf(3534,plain,
! [SV1361: $i,SV1213: $i,SV990: $i,SV664: $i,SV267: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SV664 ) )
= ( c_Nat_Osize__class_Osize @ SV990 @ ( tc_List_Olist @ SV1213 ) ) )
= $false )
| ( ( ( c_List_Olist__all2 @ SV1361 @ SV267 @ SV990 @ SV664 @ SV1213 )
| ! [SY3719: $i,SY3720: $i] :
~ ( c_List_Olist__all2 @ SV1361 @ ( c_List_Oappend @ SV267 @ SY3719 @ SV664 ) @ ( c_List_Oappend @ SV990 @ SY3720 @ SV1213 ) @ SV664 @ SV1213 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3412]) ).
thf(3535,plain,
! [SV1362: $i,SV1214: $i,SV991: $i,SV665: $i,SV268: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SV665 ) )
= ( c_Nat_Osize__class_Osize @ SV991 @ ( tc_List_Olist @ SV1214 ) ) )
= $false )
| ( ( ! [SY3721: $i,SY3722: $i] :
( ( c_List_Olist__all2 @ SV1362 @ SY3721 @ SY3722 @ SV665 @ SV1214 )
| ~ ( c_List_Olist__all2 @ SV1362 @ ( c_List_Oappend @ SV268 @ SY3721 @ SV665 ) @ ( c_List_Oappend @ SV991 @ SY3722 @ SV1214 ) @ SV665 @ SV1214 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3413]) ).
thf(3536,plain,
! [SV1431: $i,SV1367: $i,SV1220: $i,SV996: $i,SV674: $i,SV277: $i] :
( ( ( c_List_Olist__all2 @ SV277 @ ( c_List_Odrop @ SV674 @ SV996 @ SV1220 ) @ ( c_List_Odrop @ SV674 @ SV1367 @ SV1431 ) @ SV1220 @ SV1431 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV277 @ SV996 @ SV1367 @ SV1220 @ SV1431 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3416]) ).
thf(3537,plain,
! [SV685: $i,SV1225: $i,SV1001: $i,SV288: $i] :
( ( ( c_List_Olistsp @ SV288 @ SV1001 @ SV1225 )
= $false )
| ( ( ~ ( c_List_Olistsp @ SV288 @ SV685 @ SV1225 ) )
= $true )
| ( ( c_List_Olistsp @ SV288 @ ( c_List_Oappend @ SV685 @ SV1001 @ SV1225 ) @ SV1225 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3419]) ).
thf(3538,plain,
! [SV1372: $i,SV1226: $i,SV1003: $i,SV687: $i,SV290: $i] :
( ( ( hBOOL @ ( hAPP @ SV290 @ ( c_Message_Oagent_Oagent__case @ SV687 @ SV1003 @ SV1226 @ ( c_Message_Oagent_OFriend @ SV1372 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV290 @ ( hAPP @ SV1003 @ SV1372 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3420]) ).
thf(3539,plain,
! [SV1373: $i,SV1227: $i,SV1004: $i,SV688: $i,SV291: $i] :
( ( ( hBOOL @ ( hAPP @ SV291 @ ( c_Message_Oagent_Oagent__case @ SV688 @ SV1004 @ SV1227 @ ( c_Message_Oagent_OFriend @ SV1373 ) @ t_a ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV291 @ ( hAPP @ SV1004 @ SV1373 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3421]) ).
thf(3540,plain,
! [SV1231: $i,SV1011: $i,SV696: $i,SV299: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 )
!= SV299 )
= $true )
| ( ( ( SV1011
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) )
| ( ( c_List_Oappend @ SV1011 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= ( c_List_Oappend @ SV299 @ SV1231 @ SV696 ) ) )
= $true )
| ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= SV1231 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3423]) ).
thf(3541,plain,
! [SV1434: $i,SV1232: $i,SV1012: $i,SV697: $i,SV300: $i] :
( ( ( ( c_List_Olist_OCons @ SV300 @ SV697 @ SV1012 )
= ( c_List_Olist_OCons @ SV1232 @ SV1434 @ SV1012 ) )
= $false )
| ( ( SV300 = SV1232 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3424]) ).
thf(3542,plain,
! [SV1377: $i,SV1233: $i,SV1013: $i,SV698: $i,SV301: $i] :
( ( ( ( c_List_Olist_OCons @ SV301 @ SV698 @ SV1013 )
= ( c_List_Olist_OCons @ SV1233 @ SV1377 @ SV1013 ) )
= $false )
| ( ( SV698 = SV1377 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3425]) ).
thf(3543,plain,
! [SV302: $i,SV1435: $i,SV1234: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1234 @ SV1435 @ SV302 ) @ SV302 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV1234 @ SV302 )
= $true )
| ( ( class_Orderings_Olinorder @ SV302 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3426]) ).
thf(3544,plain,
! [SV303: $i,SV1235: $i,SV1436: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oappend @ SV1436 @ SV1235 @ SV303 ) @ SV303 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV1235 @ SV303 )
= $true )
| ( ( class_Orderings_Olinorder @ SV303 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3427]) ).
thf(3545,plain,
! [SV699: $i,SV1236: $i,SV1014: $i,SV304: $i] :
( ( ( c_List_Olist__all @ SV304 @ SV1014 @ SV1236 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV304 @ SV699 ) ) )
= $true )
| ( ( c_List_Olist__all @ SV304 @ ( c_List_Olist_OCons @ SV699 @ SV1014 @ SV1236 ) @ SV1236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3428]) ).
thf(3546,plain,
! [SV1461: $i,SV1378: $i,SV1237: $i,SV1015: $i,SV700: $i,SV305: $i] :
( ( ( ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SV700 @ SV1015 @ SV1237 ) @ SV1378 @ SV1461 @ SV1237 )
= ( c_List_Olist__update @ ( c_List_Olist__update @ SV305 @ SV1378 @ SV1461 @ SV1237 ) @ SV700 @ SV1015 @ SV1237 ) )
= $true )
| ( ( SV700 = SV1378 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3429]) ).
thf(3547,plain,
! [SV1437: $i,SV1243: $i,SV1020: $i,SV708: $i,SV314: $i] :
( ( ( ( c_List_Oappend @ SV314 @ ( c_List_Olist_OCons @ SV708 @ ( c_List_Olist_ONil @ SV1020 ) @ SV1020 ) @ SV1020 )
= ( c_List_Oappend @ SV1243 @ ( c_List_Olist_OCons @ SV1437 @ ( c_List_Olist_ONil @ SV1020 ) @ SV1020 ) @ SV1020 ) )
= $false )
| ( ( SV314 = SV1243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3431]) ).
thf(3548,plain,
! [SV1381: $i,SV1244: $i,SV1021: $i,SV709: $i,SV315: $i] :
( ( ( ( c_List_Oappend @ SV315 @ ( c_List_Olist_OCons @ SV709 @ ( c_List_Olist_ONil @ SV1021 ) @ SV1021 ) @ SV1021 )
= ( c_List_Oappend @ SV1244 @ ( c_List_Olist_OCons @ SV1381 @ ( c_List_Olist_ONil @ SV1021 ) @ SV1021 ) @ SV1021 ) )
= $false )
| ( ( SV709 = SV1381 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3432]) ).
thf(3549,plain,
! [SV1384: $i,SV1245: $i,SV1025: $i,SV713: $i,SV319: $i] :
( ( ( hBOOL @ ( hAPP @ SV319 @ ( c_List_Olist_Olist__case @ SV713 @ SV1025 @ ( c_List_Olist_OCons @ SV1245 @ SV1384 @ t_b ) @ t_a @ t_b ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV319 @ ( hAPP @ ( hAPP @ SV1025 @ SV1245 ) @ SV1384 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3435]) ).
thf(3550,plain,
! [SV1385: $i,SV1246: $i,SV1026: $i,SV714: $i,SV320: $i] :
( ( ( hBOOL @ ( hAPP @ SV320 @ ( c_List_Olist_Olist__case @ SV714 @ SV1026 @ ( c_List_Olist_OCons @ SV1246 @ SV1385 @ t_b ) @ t_a @ t_b ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV320 @ ( hAPP @ ( hAPP @ SV1026 @ SV1246 ) @ SV1385 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3436]) ).
thf(3551,plain,
! [SV1247: $i,SV321: $i,SV1386: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1386 @ SV321 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_OdropWhile @ SV1247 @ SV1386 @ SV321 ) @ SV321 )
= $true )
| ( ( class_Orderings_Olinorder @ SV321 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3437]) ).
thf(3552,plain,
! [SV1253: $i,SV328: $i,SV1388: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1388 @ SV328 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Oremove1 @ SV1253 @ SV1388 @ SV328 ) @ SV328 )
= $true )
| ( ( class_Orderings_Olinorder @ SV328 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3438]) ).
thf(3553,plain,
! [SV1268: $i,SV772: $i,SV1389: $i,SV1074: $i,SV403: $i] :
( ( ( c_List_Olist__all2 @ SV403 @ SV1074 @ SV1389 @ SV772 @ SV1268 )
= $false )
| ( ( c_List_Olist__all2 @ SV403 @ ( hAPP @ ( c_List_Orev @ SV772 ) @ SV1074 ) @ ( hAPP @ ( c_List_Orev @ SV1268 ) @ SV1389 ) @ SV772 @ SV1268 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3443]) ).
thf(3554,plain,
! [SV1075: $i,SV1390: $i,SV773: $i,SV1269: $i,SV404: $i] :
( ( ( c_List_Olist__all2 @ SV404 @ ( hAPP @ ( c_List_Orev @ SV1269 ) @ SV773 ) @ ( hAPP @ ( c_List_Orev @ SV1390 ) @ SV1075 ) @ SV1269 @ SV1390 )
= $false )
| ( ( c_List_Olist__all2 @ SV404 @ SV773 @ SV1075 @ SV1269 @ SV1390 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3444]) ).
thf(3555,plain,
! [SV779: $i,SV1271: $i,SV1391: $i,SV1078: $i,SV410: $i] :
( ( ( c_List_Olist__all2 @ SV410 @ SV1078 @ ( hAPP @ ( c_List_Orev @ SV1391 ) @ SV1271 ) @ SV779 @ SV1391 )
= $false )
| ( ( c_List_Olist__all2 @ SV410 @ ( hAPP @ ( c_List_Orev @ SV779 ) @ SV1078 ) @ SV1271 @ SV779 @ SV1391 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3445]) ).
thf(3556,plain,
! [SV1079: $i,SV1272: $i,SV780: $i,SV1392: $i,SV411: $i] :
( ( ( c_List_Olist__all2 @ SV411 @ ( hAPP @ ( c_List_Orev @ SV1392 ) @ SV780 ) @ SV1272 @ SV1392 @ SV1079 )
= $false )
| ( ( c_List_Olist__all2 @ SV411 @ SV780 @ ( hAPP @ ( c_List_Orev @ SV1079 ) @ SV1272 ) @ SV1392 @ SV1079 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3446]) ).
thf(3557,plain,
! [SV1393: $i,SV1277: $i,SV1088: $i,SV801: $i,SV435: $i,SV5: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV5 @ SV435 @ SV801 )
= ( c_Event_Oevent_OSays @ SV1088 @ SV1277 @ SV1393 ) )
= $false )
| ( ( SV801 = SV1393 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3447]) ).
thf(3558,plain,
! [SV1438: $i,SV1278: $i,SV1089: $i,SV802: $i,SV436: $i,SV6: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV6 @ SV436 @ SV802 )
= ( c_Event_Oevent_OSays @ SV1089 @ SV1278 @ SV1438 ) )
= $false )
| ( ( SV436 = SV1278 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3448]) ).
thf(3559,plain,
! [SV1439: $i,SV1394: $i,SV1090: $i,SV803: $i,SV437: $i,SV7: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV7 @ SV437 @ SV803 )
= ( c_Event_Oevent_OSays @ SV1090 @ SV1394 @ SV1439 ) )
= $false )
| ( ( SV7 = SV1090 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3449]) ).
thf(3560,plain,
! [SV1395: $i,SV442: $i,SV12: $i,SV808: $i,SV1093: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV808 ) ) @ SV12 @ SV808 )
= SV1093 )
= $true )
| ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV12 @ ( tc_List_Olist @ SV808 ) ) @ ( c_Nat_Osize__class_Osize @ SV1093 @ ( tc_List_Olist @ SV808 ) ) @ tc_nat )
= $true )
| ( ( ( c_List_Oappend @ SV12 @ SV442 @ SV808 )
= ( c_List_Oappend @ SV1093 @ SV1395 @ SV808 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3450]) ).
thf(3561,plain,
! [SV1396: $i,SV444: $i,SV1095: $i,SV810: $i,SV14: $i] :
( ( ( SV14
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ SV1095 @ SV810 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1095 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat ) )
= $true )
| ( ( ( c_List_Oappend @ SV14 @ SV444 @ SV810 )
= ( c_List_Oappend @ SV1095 @ SV1396 @ SV810 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3451]) ).
thf(3562,plain,
! [SV1279: $i,SV1096: $i,SV811: $i,SV15: $i,SV445: $i] :
( ( ( SV445
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ SV1096 @ SV811 ) @ SV1279 @ SV811 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ ( c_Nat_Osize__class_Osize @ SV1096 @ ( tc_List_Olist @ SV811 ) ) @ tc_nat ) )
= $true )
| ( ( ( c_List_Oappend @ SV15 @ SV445 @ SV811 )
= ( c_List_Oappend @ SV1096 @ SV1279 @ SV811 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3452]) ).
thf(3563,plain,
! [SV1280: $i,SV446: $i,SV16: $i,SV812: $i,SV1097: $i] :
( ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1097 @ ( tc_List_Olist @ SV812 ) ) @ SV16 @ SV812 ) @ SV446 @ SV812 )
= SV1280 )
= $true )
| ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV16 @ ( tc_List_Olist @ SV812 ) ) @ ( c_Nat_Osize__class_Osize @ SV1097 @ ( tc_List_Olist @ SV812 ) ) @ tc_nat )
= $true )
| ( ( ( c_List_Oappend @ SV16 @ SV446 @ SV812 )
= ( c_List_Oappend @ SV1097 @ SV1280 @ SV812 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3453]) ).
thf(3564,plain,
! [SV1099: $i,SV448: $i,SV1281: $i,SV814: $i,SV18: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV18 @ ( hAPP @ SV814 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV18 @ SV814 @ SV1281 ) ) ) ) )
= $true )
| ( ( SV1281 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1281 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Message_Oagent_Oagent__case @ SV448 @ SV814 @ SV1099 @ SV1281 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3454]) ).
thf(3565,plain,
! [SV1397: $i,SV1282: $i,SV1100: $i,SV815: $i,SV449: $i,SV19: $i] :
( ( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) )
= ( hAPP @ SV815 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) ) )
= $false )
| ( ( ( SV449 = c_Message_Oagent_OServer )
| ! [SY3728: $i,SY3729: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1282 @ SV19 @ SV1397 @ SV449 @ SV1100 )
= ( c_Message_Oagent_Oagent__case @ SY3728 @ SV815 @ SY3729 @ SV449 @ SV1100 ) )
| ( SV449 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3455]) ).
thf(3566,plain,
! [SV1101: $i,SV450: $i,SV1283: $i,SV816: $i,SV20: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV816 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV20 @ SV816 @ SV1283 ) ) ) ) )
= $true )
| ( ( SV1283 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1283 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV816 @ SV1101 @ SV1283 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3456]) ).
thf(3567,plain,
! [SV1103: $i,SV452: $i,SV818: $i,SV22: $i,SV1284: $i] :
( ( ( SV1284
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV22 @ SV818 @ SV1284 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV22 @ SV452 ) ) )
= $true )
| ( ( SV1284 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV452 @ SV818 @ SV1103 @ SV1284 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3457]) ).
thf(3568,plain,
! [SV1462: $i,SV1398: $i,SV1285: $i,SV1104: $i,SV819: $i,SV453: $i,SV23: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV23 @ SV453 @ SV819 @ SV1104 @ SV1285 )
= ( c_Message_Oagent_Oagent__case @ SV23 @ SV1398 @ SV1462 @ SV1104 @ SV1285 ) )
= $true )
| ( ( ( SV1104 = c_Message_Oagent_OSpy )
| ( SV1104
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1104 @ SV453 @ SV1398 @ SV1285 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3458]) ).
thf(3569,plain,
! [SV1105: $i,SV454: $i,SV820: $i,SV24: $i,SV1286: $i] :
( ( ( SV1286
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV24 @ SV820 @ SV1286 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV24 @ SV454 ) ) )
= $true )
| ( ( SV1286 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV24 @ ( c_Message_Oagent_Oagent__case @ SV454 @ SV820 @ SV1105 @ SV1286 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3459]) ).
thf(3570,plain,
! [SV455: $i,SV821: $i,SV1287: $i,SV1106: $i,SV25: $i] :
( ( ( hBOOL @ ( hAPP @ SV25 @ SV1106 ) )
= $false )
| ( ( ( SV1287
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV25 @ SV821 @ SV1287 ) ) )
| ( SV1287 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV25 @ ( c_Message_Oagent_Oagent__case @ SV455 @ SV821 @ SV1106 @ SV1287 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3460]) ).
thf(3571,plain,
! [SV822: $i,SV1107: $i,SV26: $i,SV1463: $i,SV456: $i,SV1288: $i] :
( ( ( ! [SY3747: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1288 @ SV456 @ SV1463 @ SV26 @ SV1107 )
= ( c_Message_Oagent_Oagent__case @ SY3747 @ SV822 @ SV1463 @ SV26 @ SV1107 ) ) )
= $true )
| ( ( SV26 = c_Message_Oagent_OServer )
= $true )
| ( ( SV26
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV26 @ SV456 @ SV822 @ SV1107 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3461]) ).
thf(3572,plain,
! [SV457: $i,SV823: $i,SV1289: $i,SV1108: $i,SV27: $i] :
( ( ( hBOOL @ ( hAPP @ SV27 @ SV1108 ) )
= $false )
| ( ( ( SV1289
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV27 @ SV823 @ SV1289 ) ) )
| ( SV1289 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Message_Oagent_Oagent__case @ SV457 @ SV823 @ SV1108 @ SV1289 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3462]) ).
thf(3573,plain,
! [SV826: $i,SV32: $i,SV1464: $i,SV1399: $i,SV460: $i] :
( ( ( ~ ( c_lessequals @ SV460 @ SV1399 @ ( tc_fun @ SV1464 @ SV32 ) ) )
= $true )
| ( ( c_lessequals @ ( hAPP @ SV460 @ SV826 ) @ ( hAPP @ SV1399 @ SV826 ) @ SV32 )
= $true )
| ( ( class_HOL_Oord @ SV32 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3463]) ).
thf(3574,plain,
! [SV827: $i,SV1110: $i,SV461: $i,SV1465: $i,SV33: $i,SV1440: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV1440 @ SV33 @ SV1465 @ SV461 @ SV1110 )
= ( c_Message_Oagent_Oagent__case @ SV1440 @ SV827 @ SV1465 @ SV461 @ SV1110 ) )
= $true )
| ( ( ( hAPP @ SV33 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SV1110 ) )
= ( hAPP @ SV827 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV461 @ SV33 @ SV827 @ SV1110 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3464]) ).
thf(3575,plain,
! [SV462: $i,SV1290: $i,SV828: $i,SV1111: $i,SV34: $i] :
( ( ( hBOOL @ ( hAPP @ SV34 @ SV1111 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV828 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SV828 @ SV1290 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV34 @ SV462 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SV462 @ SV828 @ SV1111 @ SV1290 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3465]) ).
thf(3576,plain,
! [SV835: $i,SV45: $i,SV473: $i] :
( ( ( ~ ( c_lessequals @ SV473 @ SV45 @ tc_nat ) )
= $true )
| ( ( SV45 = SV835 )
= $true )
| ( ( c_lessequals @ SV473 @ SV835 @ tc_nat )
= $false )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV45 @ SV473 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV835 @ SV473 @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3467]) ).
thf(3577,plain,
! [SV1401: $i,SV1292: $i,SV46: $i,SV474: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV474 @ SV474 @ SV46 )
= ( c_HOL_Ominus__class_Ominus @ SV1292 @ SV1401 @ SV46 ) )
= $false )
| ( ( SV1292 = SV1401 )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3468]) ).
thf(3578,plain,
! [SV1441: $i,SV47: $i,SV1293: $i,SV475: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV475 @ SV1293 @ SV47 )
= ( c_HOL_Ominus__class_Ominus @ SV1441 @ SV1441 @ SV47 ) )
= $false )
| ( ( SV475 = SV1293 )
= $true )
| ( ( class_OrderedGroup_Oab__group__add @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3469]) ).
thf(3579,plain,
! [SV48: $i,SV476: $i,SV1113: $i] :
( ( ( c_lessequals @ SV1113 @ SV476 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV1113 @ SV48 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SV1113 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV476 @ SV1113 @ tc_nat ) @ tc_nat )
= $false )
| ( ( c_lessequals @ SV48 @ SV476 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3470]) ).
thf(3580,plain,
! [SV49: $i,SV836: $i,SV477: $i] :
( ( ( c_lessequals @ SV477 @ SV836 @ tc_nat )
= $false )
| ( ( ~ ( c_lessequals @ SV477 @ SV49 @ tc_nat ) )
= $true )
| ( ( c_lessequals @ SV49 @ SV836 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV49 @ SV477 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV836 @ SV477 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3471]) ).
thf(3581,plain,
! [SV68: $i,SV1121: $i,SV1298: $i] :
( ( ( c_lessequals @ SV1298 @ SV1121 @ SV68 )
= $false )
| ( ( ~ ( c_lessequals @ SV1121 @ SV1298 @ SV68 ) )
= $true )
| ( ( SV1121 = SV1298 )
= $true )
| ( ( class_Orderings_Oorder @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3476]) ).
thf(3582,plain,
! [SV69: $i,SV1122: $i,SV1299: $i] :
( ( ( c_lessequals @ SV1299 @ SV1122 @ SV69 )
= $false )
| ( ( ~ ( c_lessequals @ SV1122 @ SV1299 @ SV69 ) )
= $true )
| ( ( SV1122 = SV1299 )
= $true )
| ( ( class_Orderings_Oorder @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3477]) ).
thf(3583,plain,
! [SV70: $i,SV1300: $i,SV1123: $i] :
( ( ( c_lessequals @ SV1123 @ SV1300 @ SV70 )
= $false )
| ( ( ~ ( c_lessequals @ SV1300 @ SV1123 @ SV70 ) )
= $true )
| ( ( SV1123 = SV1300 )
= $true )
| ( ( class_Orderings_Oorder @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3478]) ).
thf(3584,plain,
! [SV1124: $i,SV71: $i,SV847: $i,SV495: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV495 @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ SV1124 @ SV847 @ SV71 ) )
= $false )
| ( ( ! [SY3531: $i,SY3532: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SY3531 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY3532 @ SV847 @ SV71 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3531 @ SV495 @ SV71 ) @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3532 @ SV1124 @ SV71 ) @ SV847 @ SV71 ) ) ) )
= $true )
| ( ( class_Divides_Oring__div @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3479]) ).
thf(3585,plain,
! [SV1301: $i,SV74: $i,SV1442: $i,SV498: $i] :
( ( ( ~ ( c_lessequals @ SV498 @ SV1442 @ SV74 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1442 @ SV1301 @ SV74 ) )
= $true )
| ( ( c_lessequals @ SV498 @ SV1301 @ SV74 )
= $true )
| ( ( class_Orderings_Oorder @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3480]) ).
thf(3586,plain,
! [SV499: $i,SV75: $i,SV1302: $i,SV1443: $i] :
( ( ( ~ ( c_lessequals @ SV1443 @ SV1302 @ SV75 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV499 @ SV1443 @ SV75 ) )
= $true )
| ( ( c_lessequals @ SV499 @ SV1302 @ SV75 )
= $true )
| ( ( class_Orderings_Opreorder @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3481]) ).
thf(3587,plain,
! [SV503: $i,SV850: $i,SV1303: $i,SV81: $i] :
( ( ( c_lessequals @ SV81 @ SV1303 @ ( tc_fun @ SV850 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV1303 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV81 @ SV503 @ ( tc_fun @ SV850 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3483]) ).
thf(3588,plain,
! [SV1127: $i,SV82: $i,SV851: $i,SV1406: $i,SV504: $i] :
( ( ( c_lessequals @ SV504 @ SV1406 @ ( tc_fun @ SV851 @ tc_bool ) )
= $false )
| ( ( ~ ( c_Fun_Oinj__on @ SV82 @ SV1406 @ SV851 @ SV1127 ) )
= $true )
| ( ( c_Fun_Oinj__on @ SV82 @ SV504 @ SV851 @ SV1127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3484]) ).
thf(3589,plain,
! [SV505: $i,SV1444: $i,SV83: $i,SV1128: $i] :
( ( ( c_lessequals @ SV1128 @ SV83 @ ( tc_fun @ SV1444 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV1128 @ SV505 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV83 @ SV505 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3485]) ).
thf(3590,plain,
! [SV1407: $i,SV86: $i,SV506: $i,SV1131: $i] :
( ( ( hBOOL @ ( hAPP @ SV1131 @ SV506 ) )
= $false )
| ( ( c_lessequals @ SV1131 @ SV86 @ ( tc_fun @ SV1407 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV86 @ SV506 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3486]) ).
thf(3591,plain,
! [SV507: $i,SV1304: $i,SV852: $i,SV1132: $i,SV87: $i] :
( ( ( hBOOL @ ( hAPP @ SV87 @ SV1132 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV852 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SV852 @ SV1304 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ SV87 @ SV507 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SV507 @ SV852 @ SV1132 @ SV1304 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3487]) ).
thf(3592,plain,
! [SV1445: $i,SV1408: $i,SV88: $i,SV853: $i,SV508: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV508 @ SV853 @ SV88 )
!= ( c_HOL_Ominus__class_Ominus @ SV1408 @ SV1445 @ SV88 ) )
= $true )
| ( ( ( c_lessequals @ SV1445 @ SV1408 @ SV88 )
| ~ ( c_lessequals @ SV853 @ SV508 @ SV88 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3488]) ).
thf(3593,plain,
! [SV1446: $i,SV1409: $i,SV89: $i,SV854: $i,SV509: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV509 @ SV854 @ SV89 )
!= ( c_HOL_Ominus__class_Ominus @ SV1409 @ SV1446 @ SV89 ) )
= $true )
| ( ( ( c_lessequals @ SV854 @ SV509 @ SV89 )
| ~ ( c_lessequals @ SV1446 @ SV1409 @ SV89 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3489]) ).
thf(3594,plain,
! [SV106: $i,SV1447: $i,SV1306: $i,SV525: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV525 @ ( c_List_Olist_OCons @ SV1306 @ SV1447 @ SV106 ) @ SV106 ) @ SV106 )
= $false )
| ( ( c_lessequals @ SV525 @ SV1306 @ SV106 )
= $true )
| ( ( class_Orderings_Olinorder @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3490]) ).
thf(3595,plain,
! [SV526: $i,SV107: $i,SV1410: $i,SV1307: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1307 @ SV1410 @ SV107 ) @ SV107 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV526 @ SV1307 @ SV107 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV526 @ ( c_List_Olist_OCons @ SV1307 @ SV1410 @ SV107 ) @ SV107 ) @ SV107 )
= $true )
| ( ( class_Orderings_Olinorder @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3491]) ).
thf(3596,plain,
! [SV1137: $i,SV535: $i,SV1308: $i,SV874: $i,SV116: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV116 @ ( hAPP @ SV874 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV116 @ SV874 @ SV1308 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV116 @ SV535 ) ) )
= $true )
| ( ( SV1308 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV116 @ ( c_Message_Oagent_Oagent__case @ SV535 @ SV874 @ SV1137 @ SV1308 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3492]) ).
thf(3597,plain,
! [SV875: $i,SV1138: $i,SV536: $i,SV117: $i,SV1309: $i] :
( ( ( ! [SY3685: $i,SY3686: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1309 @ SV117 @ SY3685 @ SV536 @ SV1138 )
= ( c_Message_Oagent_Oagent__case @ SV1309 @ SV875 @ SY3686 @ SV536 @ SV1138 ) ) )
= $true )
| ( ( SV536 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( hAPP @ SV117 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) )
= ( hAPP @ SV875 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3493]) ).
thf(3598,plain,
! [SV1139: $i,SV537: $i,SV1310: $i,SV876: $i,SV118: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV118 @ ( hAPP @ SV876 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV118 @ SV876 @ SV1310 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV118 @ SV537 ) ) )
= $true )
| ( ( SV1310 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV118 @ ( c_Message_Oagent_Oagent__case @ SV537 @ SV876 @ SV1139 @ SV1310 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3494]) ).
thf(3599,plain,
! [SV541: $i,SV1311: $i,SV880: $i,SV1141: $i,SV122: $i] :
( ( ( hBOOL @ ( hAPP @ SV122 @ SV1141 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV122 @ ( hAPP @ SV880 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV122 @ SV880 @ SV1311 ) ) ) )
| ( SV1311 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV122 @ ( c_Message_Oagent_Oagent__case @ SV541 @ SV880 @ SV1141 @ SV1311 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3495]) ).
thf(3600,plain,
! [SV542: $i,SV1312: $i,SV881: $i,SV1142: $i,SV123: $i] :
( ( ( hBOOL @ ( hAPP @ SV123 @ SV1142 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV123 @ ( hAPP @ SV881 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV123 @ SV881 @ SV1312 ) ) ) )
| ( SV1312 = c_Message_Oagent_OServer ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV123 @ ( c_Message_Oagent_Oagent__case @ SV542 @ SV881 @ SV1142 @ SV1312 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3496]) ).
thf(3601,plain,
! [SV882: $i,SV1143: $i,SV124: $i,SV1313: $i,SV543: $i] :
( ( ( SV543 = c_Message_Oagent_OServer )
= $true )
| ( ( ! [SY3687: $i,SY3688: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1313 @ SV124 @ SY3687 @ SV543 @ SV1143 )
= ( c_Message_Oagent_Oagent__case @ SY3688 @ SV882 @ SY3687 @ SV543 @ SV1143 ) ) )
= $true )
| ( ( ( hAPP @ SV124 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) )
= ( hAPP @ SV882 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3497]) ).
thf(3602,plain,
! [SV545: $i,SV884: $i,SV1314: $i,SV1145: $i,SV126: $i] :
( ( ( hBOOL @ ( hAPP @ SV126 @ SV1145 ) )
= $false )
| ( ( ( SV1314
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV884 @ SV1314 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV126 @ SV545 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV545 @ SV884 @ SV1145 @ SV1314 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3499]) ).
thf(3603,plain,
! [SV546: $i,SV885: $i,SV1315: $i,SV1146: $i,SV127: $i] :
( ( ( hBOOL @ ( hAPP @ SV127 @ SV1146 ) )
= $false )
| ( ( ( SV1315
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV127 @ SV885 @ SV1315 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV127 @ SV546 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV127 @ ( c_Message_Oagent_Oagent__case @ SV546 @ SV885 @ SV1146 @ SV1315 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3500]) ).
thf(3604,plain,
! [SV1450: $i,SV898: $i,SV549: $i,SV141: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ ( c_Nat_Osize__class_Osize @ SV898 @ ( tc_List_Olist @ SV549 ) ) @ tc_nat )
= $false )
| ( ( ( c_List_Oappend @ SV141 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) @ SV1450 @ SV549 ) @ SV549 )
= ( c_List_Oappend @ SV898 @ SV1450 @ SV549 ) )
= $true )
| ( ( SV141
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV141 @ ( tc_List_Olist @ SV549 ) ) @ SV898 @ SV549 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3502]) ).
thf(3605,plain,
! [SV142: $i,SV550: $i,SV1412: $i,SV1316: $i] :
( ( ( c_List_Odistinct @ SV1316 @ SV1412 )
= $false )
| ( ( ( c_Finite__Set_Osetsum @ SV550 @ ( c_List_Oset @ SV1316 @ SV1412 ) @ SV1412 @ SV142 )
= ( c_List_Olistsum @ ( c_List_Omap @ SV550 @ SV1316 @ SV1412 @ SV142 ) @ SV142 ) )
= $true )
| ( ( class_OrderedGroup_Ocomm__monoid__add @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3503]) ).
thf(3606,plain,
! [SV1148: $i,SV555: $i,SV903: $i,SV148: $i,SV1317: $i] :
( ( ( SV1317
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV148 @ SV903 @ SV1317 ) ) )
= $true )
| ( ( SV1317 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1317 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV148 @ ( c_Message_Oagent_Oagent__case @ SV555 @ SV903 @ SV1148 @ SV1317 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3504]) ).
thf(3607,plain,
! [SV1451: $i,SV1413: $i,SV1318: $i,SV1149: $i,SV904: $i,SV556: $i,SV149: $i] :
( ( ( ! [SY3742: $i] :
( ( c_Message_Oagent_Oagent__case @ SV149 @ SV556 @ SV904 @ SV1149 @ SV1318 )
= ( c_Message_Oagent_Oagent__case @ SV1413 @ SV1451 @ SY3742 @ SV1149 @ SV1318 ) ) )
= $true )
| ( ( ( SV1149 = c_Message_Oagent_OSpy )
| ( SV1149
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1149 @ SV556 @ SV1451 @ SV1318 ) ) )
| ( SV1149 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3505]) ).
thf(3608,plain,
! [SV1150: $i,SV557: $i,SV905: $i,SV150: $i,SV1319: $i] :
( ( ( SV1319
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV150 @ SV905 @ SV1319 ) ) )
= $true )
| ( ( SV1319 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1319 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV150 @ ( c_Message_Oagent_Oagent__case @ SV557 @ SV905 @ SV1150 @ SV1319 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3506]) ).
thf(3609,plain,
! [SV562: $i,SV1414: $i,SV1153: $i,SV1322: $i,SV909: $i,SV157: $i] :
( ( ( c_List_Olist__all2 @ SV157 @ SV909 @ SV1322 @ SV1153 @ SV1414 )
= $false )
| ( ( c_List_Olist__all2 @ SV157 @ ( c_List_Otake @ SV562 @ SV909 @ SV1153 ) @ ( c_List_Otake @ SV562 @ SV1322 @ SV1414 ) @ SV1153 @ SV1414 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3508]) ).
thf(3610,plain,
! [SV1158: $i,SV162: $i,SV1324: $i] :
( ( ( ~ ( c_List_Odistinct @ SV1324 @ SV162 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 )
| ~ ( c_List_Odistinct @ SV1158 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
| ( SV1158 = SV1324 ) )
= $true )
| ( ( ( c_List_Oset @ SV1158 @ SV162 )
= ( c_List_Oset @ SV1324 @ SV162 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3510]) ).
thf(3611,plain,
! [SV163: $i,SV1325: $i,SV567: $i,SV1452: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1452 @ ( c_List_Olist_OCons @ SV567 @ SV1325 @ SV163 ) @ SV163 ) @ SV163 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV567 @ SV1325 @ SV163 ) @ SV163 )
= $true )
| ( ( class_Orderings_Olinorder @ SV163 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3511]) ).
thf(3612,plain,
! [SV1453: $i,SV1417: $i,SV1326: $i,SV1159: $i,SV913: $i,SV568: $i,SV164: $i] :
( ( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SV568 @ SV913 @ SV1159 ) @ ( c_List_Oappend @ SV1326 @ SV1417 @ SV1453 ) @ SV1159 @ SV1453 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV164 @ SV913 @ SV1417 @ SV1159 @ SV1453 )
| ~ ( c_List_Olist__all2 @ SV164 @ SV568 @ SV1326 @ SV1159 @ SV1453 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3512]) ).
thf(3613,plain,
! [SV914: $i,SV165: $i,SV1160: $i,SV1466: $i,SV569: $i,SV1327: $i] :
( ( ( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SV1466 @ ( tc_List_Olist @ SV1160 ) ) )
| ! [SY3748: $i] :
( ( c_List_Olist__all2 @ SY3748 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SV1466 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3748 @ SV165 @ SV914 @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3748 @ SV1327 @ SV1466 @ SV569 @ SV1160 ) ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3513]) ).
thf(3614,plain,
! [SV166: $i,SV915: $i,SV1161: $i,SV1467: $i,SV570: $i,SV1328: $i] :
( ( ( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SV1467 @ ( tc_List_Olist @ SV1161 ) ) )
| ! [SY3749: $i] :
( ( c_List_Olist__all2 @ SY3749 @ ( c_List_Oappend @ SV1467 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3749 @ SV915 @ SV166 @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3749 @ SV1467 @ SV1328 @ SV1161 @ SV570 ) ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3514]) ).
thf(3615,plain,
! [SV1468: $i,SV1454: $i,SV926: $i,SV1333: $i,SV1168: $i,SV583: $i,SV180: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV180 @ ( c_List_Olist_OCons @ SV583 @ SV1168 @ SV1333 ) @ ( c_List_Olist_OCons @ SV926 @ SV1454 @ SV1468 ) @ SV1333 @ SV1468 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ SV180 @ SV583 ) @ SV926 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3515]) ).
thf(3616,plain,
! [SV1172: $i,SV185: $i,SV931: $i,SV588: $i] :
( ( ( c_List_Odistinct @ SV588 @ SV931 )
= $false )
| ( ( c_Fun_Oinj__on @ SV185 @ ( c_List_Oset @ SV588 @ SV931 ) @ SV931 @ SV1172 )
= $false )
| ( ( c_List_Odistinct @ ( c_List_Omap @ SV185 @ SV588 @ SV931 @ SV1172 ) @ SV1172 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3516]) ).
thf(3617,plain,
! [SV1175: $i,SV936: $i,SV596: $i,SV1469: $i,SV194: $i,SV1336: $i] :
( ( ( ! [SY3750: $i] :
( ( c_List_Olist__all2 @ SV1336 @ ( c_List_Oappend @ SV194 @ SV1469 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SY3750 @ SV1175 ) @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SV1469 @ SY3750 @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SV194 @ SV936 @ SV596 @ SV1175 ) ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SV1175 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3518]) ).
thf(3618,plain,
! [SV944: $i,SV1179: $i,SV604: $i,SV202: $i] :
( ( ( c_List_Olist__all @ SV202 @ SV604 @ SV1179 )
= $false )
| ( ( c_List_Olist__all @ SV202 @ SV944 @ SV1179 )
= $false )
| ( ( c_List_Olist__all @ SV202 @ ( c_List_Oappend @ SV604 @ SV944 @ SV1179 ) @ SV1179 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3519]) ).
thf(3619,plain,
! [SV1347: $i,SV966: $i,SV1470: $i,SV1193: $i,SV634: $i,SV1455: $i,SV237: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV237 @ ( c_List_Olist_OCons @ SV1455 @ SV634 @ SV1193 ) @ ( c_List_Olist_OCons @ SV1470 @ SV966 @ SV1347 ) @ SV1193 @ SV1347 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV237 @ SV634 @ SV966 @ SV1193 @ SV1347 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3523]) ).
thf(3620,plain,
! [SV1425: $i,SV973: $i,SV646: $i,SV1201: $i,SV249: $i] :
( ( ( hBOOL @ ( hAPP @ SV249 @ SV1201 ) )
= $false )
| ( ( ( c_List_OdropWhile @ SV249 @ SV646 @ SV973 )
= ( c_List_Olist_OCons @ SV1201 @ SV1425 @ SV973 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3524]) ).
thf(3621,plain,
! [SV1456: $i,SV1426: $i,SV1352: $i,SV1202: $i,SV974: $i,SV647: $i,SV250: $i] :
( ( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SV647 @ SV974 @ SV1202 ) @ ( c_List_Olist_OCons @ SV1352 @ SV1426 @ SV1456 ) @ SV1202 @ SV1456 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV250 @ SV974 @ SV1426 @ SV1202 @ SV1456 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SV647 ) @ SV1352 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3525]) ).
thf(3622,plain,
! [SV1457: $i,SV1427: $i,SV1353: $i,SV1203: $i,SV975: $i,SV648: $i,SV251: $i] :
( ( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SV648 @ SV975 @ SV1203 ) @ ( c_List_Olist_OCons @ SV1353 @ SV1427 @ SV1457 ) @ SV1203 @ SV1457 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV251 @ SV975 @ SV1427 @ SV1203 @ SV1457 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SV648 ) @ SV1353 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3526]) ).
thf(3623,plain,
! [SV1458: $i,SV1428: $i,SV1354: $i,SV1204: $i,SV976: $i,SV649: $i,SV252: $i] :
( ( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SV649 @ SV976 @ SV1204 ) @ ( c_List_Olist_OCons @ SV1354 @ SV1428 @ SV1458 ) @ SV1204 @ SV1458 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV252 @ SV976 @ SV1428 @ SV1204 @ SV1458 )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SV649 ) @ SV1354 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3527]) ).
thf(3624,plain,
! [SV1357: $i,SV654: $i,SV1207: $i,SV1430: $i,SV981: $i,SV257: $i] :
( ( ( ~ ( c_List_Olistrelp @ SV257 @ SV981 @ SV1430 @ SV1207 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV257 @ SV654 ) @ SV1357 ) ) )
= $true )
| ( ( c_List_Olistrelp @ SV257 @ ( c_List_Olist_OCons @ SV654 @ SV981 @ SV1207 ) @ ( c_List_Olist_OCons @ SV1357 @ SV1430 @ SV1207 ) @ SV1207 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3530]) ).
thf(3625,plain,
! [SV1210: $i,SV984: $i,SV658: $i,SV1471: $i,SV261: $i,SV1459: $i] :
( ( ( ( c_Map_Omap__upds @ SV1459 @ ( c_List_Oappend @ SV261 @ SV1471 @ SV658 ) @ SV984 @ SV658 @ SV1210 )
= ( c_Map_Omap__upds @ SV1459 @ SV261 @ SV984 @ SV658 @ SV1210 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV261 @ ( tc_List_Olist @ SV658 ) )
= ( c_Nat_Osize__class_Osize @ SV984 @ ( tc_List_Olist @ SV1210 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3532]) ).
thf(3626,plain,
! [SV659: $i,SV1211: $i,SV1472: $i,SV985: $i,SV262: $i,SV1460: $i] :
( ( ( ( c_Map_Omap__upds @ SV1460 @ SV262 @ ( c_List_Oappend @ SV985 @ SV1472 @ SV1211 ) @ SV659 @ SV1211 )
= ( c_Map_Omap__upds @ SV1460 @ SV262 @ SV985 @ SV659 @ SV1211 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV262 @ ( tc_List_Olist @ SV659 ) )
= ( c_Nat_Osize__class_Osize @ SV985 @ ( tc_List_Olist @ SV1211 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3533]) ).
thf(3627,plain,
! [SV1213: $i,SV664: $i,SV990: $i,SV267: $i,SV1361: $i] :
( ( ( c_List_Olist__all2 @ SV1361 @ SV267 @ SV990 @ SV664 @ SV1213 )
= $true )
| ( ( ! [SY3719: $i,SY3720: $i] :
~ ( c_List_Olist__all2 @ SV1361 @ ( c_List_Oappend @ SV267 @ SY3719 @ SV664 ) @ ( c_List_Oappend @ SV990 @ SY3720 @ SV1213 ) @ SV664 @ SV1213 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SV664 ) )
= ( c_Nat_Osize__class_Osize @ SV990 @ ( tc_List_Olist @ SV1213 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3534]) ).
thf(3628,plain,
! [SV991: $i,SV268: $i,SV1214: $i,SV665: $i,SV1473: $i,SV1362: $i] :
( ( ( ! [SY3751: $i] :
( ( c_List_Olist__all2 @ SV1362 @ SV1473 @ SY3751 @ SV665 @ SV1214 )
| ~ ( c_List_Olist__all2 @ SV1362 @ ( c_List_Oappend @ SV268 @ SV1473 @ SV665 ) @ ( c_List_Oappend @ SV991 @ SY3751 @ SV1214 ) @ SV665 @ SV1214 ) ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SV665 ) )
= ( c_Nat_Osize__class_Osize @ SV991 @ ( tc_List_Olist @ SV1214 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3535]) ).
thf(3629,plain,
! [SV674: $i,SV1431: $i,SV1220: $i,SV1367: $i,SV996: $i,SV277: $i] :
( ( ( c_List_Olist__all2 @ SV277 @ SV996 @ SV1367 @ SV1220 @ SV1431 )
= $false )
| ( ( c_List_Olist__all2 @ SV277 @ ( c_List_Odrop @ SV674 @ SV996 @ SV1220 ) @ ( c_List_Odrop @ SV674 @ SV1367 @ SV1431 ) @ SV1220 @ SV1431 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3536]) ).
thf(3630,plain,
! [SV1001: $i,SV1225: $i,SV685: $i,SV288: $i] :
( ( ( c_List_Olistsp @ SV288 @ SV685 @ SV1225 )
= $false )
| ( ( c_List_Olistsp @ SV288 @ SV1001 @ SV1225 )
= $false )
| ( ( c_List_Olistsp @ SV288 @ ( c_List_Oappend @ SV685 @ SV1001 @ SV1225 ) @ SV1225 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3537]) ).
thf(3631,plain,
! [SV1231: $i,SV1011: $i,SV696: $i,SV299: $i] :
( ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 )
= SV299 )
= $false )
| ( ( ( SV1011
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) )
| ( ( c_List_Oappend @ SV1011 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= ( c_List_Oappend @ SV299 @ SV1231 @ SV696 ) ) )
= $true )
| ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= SV1231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3540]) ).
thf(3632,plain,
! [SV1236: $i,SV1014: $i,SV699: $i,SV304: $i] :
( ( ( hBOOL @ ( hAPP @ SV304 @ SV699 ) )
= $false )
| ( ( c_List_Olist__all @ SV304 @ SV1014 @ SV1236 )
= $false )
| ( ( c_List_Olist__all @ SV304 @ ( c_List_Olist_OCons @ SV699 @ SV1014 @ SV1236 ) @ SV1236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3545]) ).
thf(3633,plain,
! [SV1396: $i,SV444: $i,SV1095: $i,SV810: $i,SV14: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ ( c_Nat_Osize__class_Osize @ SV1095 @ ( tc_List_Olist @ SV810 ) ) @ tc_nat )
= $false )
| ( ( SV14
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV14 @ ( tc_List_Olist @ SV810 ) ) @ SV1095 @ SV810 ) )
= $true )
| ( ( ( c_List_Oappend @ SV14 @ SV444 @ SV810 )
= ( c_List_Oappend @ SV1095 @ SV1396 @ SV810 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3561]) ).
thf(3634,plain,
! [SV1279: $i,SV445: $i,SV1096: $i,SV811: $i,SV15: $i] :
( ( ( c_lessequals @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ ( c_Nat_Osize__class_Osize @ SV1096 @ ( tc_List_Olist @ SV811 ) ) @ tc_nat )
= $false )
| ( ( SV445
= ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV15 @ ( tc_List_Olist @ SV811 ) ) @ SV1096 @ SV811 ) @ SV1279 @ SV811 ) )
= $true )
| ( ( ( c_List_Oappend @ SV15 @ SV445 @ SV811 )
= ( c_List_Oappend @ SV1096 @ SV1279 @ SV811 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3562]) ).
thf(3635,plain,
! [SV1099: $i,SV448: $i,SV1281: $i,SV814: $i,SV18: $i] :
( ( ( hBOOL @ ( hAPP @ SV18 @ ( hAPP @ SV814 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV18 @ SV814 @ SV1281 ) ) ) )
= $false )
| ( ( SV1281 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1281 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV18 @ ( c_Message_Oagent_Oagent__case @ SV448 @ SV814 @ SV1099 @ SV1281 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3564]) ).
thf(3636,plain,
! [SV815: $i,SV1100: $i,SV1397: $i,SV19: $i,SV1282: $i,SV449: $i] :
( ( ( SV449 = c_Message_Oagent_OServer )
= $true )
| ( ( ! [SY3728: $i,SY3729: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1282 @ SV19 @ SV1397 @ SV449 @ SV1100 )
= ( c_Message_Oagent_Oagent__case @ SY3728 @ SV815 @ SY3729 @ SV449 @ SV1100 ) )
| ( SV449 = c_Message_Oagent_OSpy ) )
= $true )
| ( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) )
= ( hAPP @ SV815 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3565]) ).
thf(3637,plain,
! [SV1101: $i,SV450: $i,SV1283: $i,SV816: $i,SV20: $i] :
( ( ( hBOOL @ ( hAPP @ SV20 @ ( hAPP @ SV816 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV20 @ SV816 @ SV1283 ) ) ) )
= $false )
| ( ( SV1283 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1283 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV20 @ ( c_Message_Oagent_Oagent__case @ SV450 @ SV816 @ SV1101 @ SV1283 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3566]) ).
thf(3638,plain,
! [SV1103: $i,SV818: $i,SV1284: $i,SV452: $i,SV22: $i] :
( ( ( hBOOL @ ( hAPP @ SV22 @ SV452 ) )
= $false )
| ( ( SV1284
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV22 @ SV818 @ SV1284 ) ) )
= $true )
| ( ( SV1284 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV22 @ ( c_Message_Oagent_Oagent__case @ SV452 @ SV818 @ SV1103 @ SV1284 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3567]) ).
thf(3639,plain,
! [SV1462: $i,SV819: $i,SV23: $i,SV1285: $i,SV1398: $i,SV453: $i,SV1104: $i] :
( ( ( SV1104 = c_Message_Oagent_OSpy )
= $true )
| ( ( SV1104
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1104 @ SV453 @ SV1398 @ SV1285 ) ) )
= $true )
| ( ( ( c_Message_Oagent_Oagent__case @ SV23 @ SV453 @ SV819 @ SV1104 @ SV1285 )
= ( c_Message_Oagent_Oagent__case @ SV23 @ SV1398 @ SV1462 @ SV1104 @ SV1285 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3568]) ).
thf(3640,plain,
! [SV1105: $i,SV820: $i,SV1286: $i,SV454: $i,SV24: $i] :
( ( ( hBOOL @ ( hAPP @ SV24 @ SV454 ) )
= $false )
| ( ( SV1286
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV24 @ SV820 @ SV1286 ) ) )
= $true )
| ( ( SV1286 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV24 @ ( c_Message_Oagent_Oagent__case @ SV454 @ SV820 @ SV1105 @ SV1286 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3569]) ).
thf(3641,plain,
! [SV455: $i,SV1106: $i,SV821: $i,SV25: $i,SV1287: $i] :
( ( ( SV1287
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV25 @ SV821 @ SV1287 ) ) )
= $true )
| ( ( SV1287 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV25 @ SV1106 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV25 @ ( c_Message_Oagent_Oagent__case @ SV455 @ SV821 @ SV1106 @ SV1287 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3570]) ).
thf(3642,plain,
! [SV822: $i,SV1474: $i,SV1107: $i,SV26: $i,SV1463: $i,SV456: $i,SV1288: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV1288 @ SV456 @ SV1463 @ SV26 @ SV1107 )
= ( c_Message_Oagent_Oagent__case @ SV1474 @ SV822 @ SV1463 @ SV26 @ SV1107 ) )
= $true )
| ( ( SV26 = c_Message_Oagent_OServer )
= $true )
| ( ( SV26
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV26 @ SV456 @ SV822 @ SV1107 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3571]) ).
thf(3643,plain,
! [SV457: $i,SV1108: $i,SV823: $i,SV27: $i,SV1289: $i] :
( ( ( SV1289
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV27 @ SV823 @ SV1289 ) ) )
= $true )
| ( ( SV1289 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV27 @ SV1108 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV27 @ ( c_Message_Oagent_Oagent__case @ SV457 @ SV823 @ SV1108 @ SV1289 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3572]) ).
thf(3644,plain,
! [SV826: $i,SV32: $i,SV1464: $i,SV1399: $i,SV460: $i] :
( ( ( c_lessequals @ SV460 @ SV1399 @ ( tc_fun @ SV1464 @ SV32 ) )
= $false )
| ( ( c_lessequals @ ( hAPP @ SV460 @ SV826 ) @ ( hAPP @ SV1399 @ SV826 ) @ SV32 )
= $true )
| ( ( class_HOL_Oord @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3573]) ).
thf(3645,plain,
! [SV1111: $i,SV462: $i,SV1290: $i,SV828: $i,SV34: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV828 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SV828 @ SV1290 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ SV462 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV34 @ SV1111 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SV462 @ SV828 @ SV1111 @ SV1290 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3575]) ).
thf(3646,plain,
! [SV835: $i,SV45: $i,SV473: $i] :
( ( ( c_lessequals @ SV473 @ SV45 @ tc_nat )
= $false )
| ( ( SV45 = SV835 )
= $true )
| ( ( c_lessequals @ SV473 @ SV835 @ tc_nat )
= $false )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV45 @ SV473 @ tc_nat )
= ( c_HOL_Ominus__class_Ominus @ SV835 @ SV473 @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3576]) ).
thf(3647,plain,
! [SV476: $i,SV48: $i,SV1113: $i] :
( ( ( c_lessequals @ SV1113 @ SV48 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV1113 @ SV476 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV48 @ SV1113 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV476 @ SV1113 @ tc_nat ) @ tc_nat )
= $false )
| ( ( c_lessequals @ SV48 @ SV476 @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3579]) ).
thf(3648,plain,
! [SV836: $i,SV49: $i,SV477: $i] :
( ( ( c_lessequals @ SV477 @ SV49 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV477 @ SV836 @ tc_nat )
= $false )
| ( ( c_lessequals @ SV49 @ SV836 @ tc_nat )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ominus__class_Ominus @ SV49 @ SV477 @ tc_nat ) @ ( c_HOL_Ominus__class_Ominus @ SV836 @ SV477 @ tc_nat ) @ tc_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3580]) ).
thf(3649,plain,
! [SV68: $i,SV1298: $i,SV1121: $i] :
( ( ( c_lessequals @ SV1121 @ SV1298 @ SV68 )
= $false )
| ( ( c_lessequals @ SV1298 @ SV1121 @ SV68 )
= $false )
| ( ( SV1121 = SV1298 )
= $true )
| ( ( class_Orderings_Oorder @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3581]) ).
thf(3650,plain,
! [SV69: $i,SV1299: $i,SV1122: $i] :
( ( ( c_lessequals @ SV1122 @ SV1299 @ SV69 )
= $false )
| ( ( c_lessequals @ SV1299 @ SV1122 @ SV69 )
= $false )
| ( ( SV1122 = SV1299 )
= $true )
| ( ( class_Orderings_Oorder @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3582]) ).
thf(3651,plain,
! [SV70: $i,SV1123: $i,SV1300: $i] :
( ( ( c_lessequals @ SV1300 @ SV1123 @ SV70 )
= $false )
| ( ( c_lessequals @ SV1123 @ SV1300 @ SV70 )
= $false )
| ( ( SV1123 = SV1300 )
= $true )
| ( ( class_Orderings_Oorder @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3583]) ).
thf(3652,plain,
! [SV1124: $i,SV495: $i,SV71: $i,SV847: $i,SV1475: $i] :
( ( ( ! [SY3752: $i] :
( ( ( c_Divides_Odiv__class_Omod @ SV1475 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SY3752 @ SV847 @ SV71 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1475 @ SV495 @ SV71 ) @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SY3752 @ SV1124 @ SV71 ) @ SV847 @ SV71 ) ) ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ SV495 @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ SV1124 @ SV847 @ SV71 ) )
= $false )
| ( ( class_Divides_Oring__div @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3584]) ).
thf(3653,plain,
! [SV1301: $i,SV74: $i,SV1442: $i,SV498: $i] :
( ( ( c_lessequals @ SV498 @ SV1442 @ SV74 )
= $false )
| ( ( ~ ( c_lessequals @ SV1442 @ SV1301 @ SV74 ) )
= $true )
| ( ( c_lessequals @ SV498 @ SV1301 @ SV74 )
= $true )
| ( ( class_Orderings_Oorder @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3585]) ).
thf(3654,plain,
! [SV499: $i,SV75: $i,SV1302: $i,SV1443: $i] :
( ( ( c_lessequals @ SV1443 @ SV1302 @ SV75 )
= $false )
| ( ( ~ ( c_lessequals @ SV499 @ SV1443 @ SV75 ) )
= $true )
| ( ( c_lessequals @ SV499 @ SV1302 @ SV75 )
= $true )
| ( ( class_Orderings_Opreorder @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3586]) ).
thf(3655,plain,
! [SV504: $i,SV1127: $i,SV851: $i,SV1406: $i,SV82: $i] :
( ( ( c_Fun_Oinj__on @ SV82 @ SV1406 @ SV851 @ SV1127 )
= $false )
| ( ( c_lessequals @ SV504 @ SV1406 @ ( tc_fun @ SV851 @ tc_bool ) )
= $false )
| ( ( c_Fun_Oinj__on @ SV82 @ SV504 @ SV851 @ SV1127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3588]) ).
thf(3656,plain,
! [SV1132: $i,SV507: $i,SV1304: $i,SV852: $i,SV87: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV852 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SV852 @ SV1304 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV507 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV87 @ SV1132 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SV507 @ SV852 @ SV1132 @ SV1304 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3591]) ).
thf(3657,plain,
! [SV1445: $i,SV1408: $i,SV88: $i,SV853: $i,SV508: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV508 @ SV853 @ SV88 )
= ( c_HOL_Ominus__class_Ominus @ SV1408 @ SV1445 @ SV88 ) )
= $false )
| ( ( ( c_lessequals @ SV1445 @ SV1408 @ SV88 )
| ~ ( c_lessequals @ SV853 @ SV508 @ SV88 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3592]) ).
thf(3658,plain,
! [SV1446: $i,SV1409: $i,SV89: $i,SV854: $i,SV509: $i] :
( ( ( ( c_HOL_Ominus__class_Ominus @ SV509 @ SV854 @ SV89 )
= ( c_HOL_Ominus__class_Ominus @ SV1409 @ SV1446 @ SV89 ) )
= $false )
| ( ( ( c_lessequals @ SV854 @ SV509 @ SV89 )
| ~ ( c_lessequals @ SV1446 @ SV1409 @ SV89 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3593]) ).
thf(3659,plain,
! [SV526: $i,SV107: $i,SV1410: $i,SV1307: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1307 @ SV1410 @ SV107 ) @ SV107 )
= $false )
| ( ( ~ ( c_lessequals @ SV526 @ SV1307 @ SV107 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV526 @ ( c_List_Olist_OCons @ SV1307 @ SV1410 @ SV107 ) @ SV107 ) @ SV107 )
= $true )
| ( ( class_Orderings_Olinorder @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3595]) ).
thf(3660,plain,
! [SV1137: $i,SV535: $i,SV1308: $i,SV874: $i,SV116: $i] :
( ( ( hBOOL @ ( hAPP @ SV116 @ ( hAPP @ SV874 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV116 @ SV874 @ SV1308 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV116 @ SV535 ) ) )
= $true )
| ( ( SV1308 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV116 @ ( c_Message_Oagent_Oagent__case @ SV535 @ SV874 @ SV1137 @ SV1308 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3596]) ).
thf(3661,plain,
! [SV875: $i,SV1138: $i,SV536: $i,SV1476: $i,SV117: $i,SV1309: $i] :
( ( ( ! [SY3753: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1309 @ SV117 @ SV1476 @ SV536 @ SV1138 )
= ( c_Message_Oagent_Oagent__case @ SV1309 @ SV875 @ SY3753 @ SV536 @ SV1138 ) ) )
= $true )
| ( ( SV536 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( hAPP @ SV117 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) )
= ( hAPP @ SV875 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3597]) ).
thf(3662,plain,
! [SV1139: $i,SV537: $i,SV1310: $i,SV876: $i,SV118: $i] :
( ( ( hBOOL @ ( hAPP @ SV118 @ ( hAPP @ SV876 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV118 @ SV876 @ SV1310 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV118 @ SV537 ) ) )
= $true )
| ( ( SV1310 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV118 @ ( c_Message_Oagent_Oagent__case @ SV537 @ SV876 @ SV1139 @ SV1310 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3598]) ).
thf(3663,plain,
! [SV541: $i,SV1141: $i,SV1311: $i,SV880: $i,SV122: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV122 @ ( hAPP @ SV880 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV122 @ SV880 @ SV1311 ) ) ) ) )
= $true )
| ( ( SV1311 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV122 @ SV1141 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV122 @ ( c_Message_Oagent_Oagent__case @ SV541 @ SV880 @ SV1141 @ SV1311 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3599]) ).
thf(3664,plain,
! [SV542: $i,SV1142: $i,SV1312: $i,SV881: $i,SV123: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV123 @ ( hAPP @ SV881 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV123 @ SV881 @ SV1312 ) ) ) ) )
= $true )
| ( ( SV1312 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV123 @ SV1142 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV123 @ ( c_Message_Oagent_Oagent__case @ SV542 @ SV881 @ SV1142 @ SV1312 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3600]) ).
thf(3665,plain,
! [SV882: $i,SV1143: $i,SV543: $i,SV1477: $i,SV124: $i,SV1313: $i] :
( ( ( ! [SY3754: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1313 @ SV124 @ SV1477 @ SV543 @ SV1143 )
= ( c_Message_Oagent_Oagent__case @ SY3754 @ SV882 @ SV1477 @ SV543 @ SV1143 ) ) )
= $true )
| ( ( SV543 = c_Message_Oagent_OServer )
= $true )
| ( ( ( hAPP @ SV124 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) )
= ( hAPP @ SV882 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3601]) ).
thf(3666,plain,
! [SV1145: $i,SV545: $i,SV884: $i,SV126: $i,SV1314: $i] :
( ( ( SV1314
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV884 @ SV1314 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV126 @ SV545 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV126 @ SV1145 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV545 @ SV884 @ SV1145 @ SV1314 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3602]) ).
thf(3667,plain,
! [SV1146: $i,SV546: $i,SV885: $i,SV127: $i,SV1315: $i] :
( ( ( SV1315
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV127 @ SV885 @ SV1315 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV127 @ SV546 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV127 @ SV1146 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV127 @ ( c_Message_Oagent_Oagent__case @ SV546 @ SV885 @ SV1146 @ SV1315 @ t_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3603]) ).
thf(3668,plain,
! [SV1478: $i,SV1451: $i,SV1413: $i,SV1318: $i,SV1149: $i,SV904: $i,SV556: $i,SV149: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV149 @ SV556 @ SV904 @ SV1149 @ SV1318 )
= ( c_Message_Oagent_Oagent__case @ SV1413 @ SV1451 @ SV1478 @ SV1149 @ SV1318 ) )
= $true )
| ( ( ( SV1149 = c_Message_Oagent_OSpy )
| ( SV1149
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1149 @ SV556 @ SV1451 @ SV1318 ) ) )
| ( SV1149 = c_Message_Oagent_OServer ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3607]) ).
thf(3669,plain,
! [SV1158: $i,SV162: $i,SV1324: $i] :
( ( ( c_List_Odistinct @ SV1324 @ SV162 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 )
| ~ ( c_List_Odistinct @ SV1158 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
| ( SV1158 = SV1324 ) )
= $true )
| ( ( ( c_List_Oset @ SV1158 @ SV162 )
= ( c_List_Oset @ SV1324 @ SV162 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3610]) ).
thf(3670,plain,
! [SV1326: $i,SV568: $i,SV1453: $i,SV1159: $i,SV1417: $i,SV913: $i,SV164: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV164 @ SV913 @ SV1417 @ SV1159 @ SV1453 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV164 @ SV568 @ SV1326 @ SV1159 @ SV1453 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SV568 @ SV913 @ SV1159 ) @ ( c_List_Oappend @ SV1326 @ SV1417 @ SV1453 ) @ SV1159 @ SV1453 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3612]) ).
thf(3671,plain,
! [SV914: $i,SV165: $i,SV1160: $i,SV1466: $i,SV569: $i,SV1327: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
!= ( c_Nat_Osize__class_Osize @ SV1466 @ ( tc_List_Olist @ SV1160 ) ) )
= $true )
| ( ( ! [SY3748: $i] :
( ( c_List_Olist__all2 @ SY3748 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SV1466 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3748 @ SV165 @ SV914 @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3748 @ SV1327 @ SV1466 @ SV569 @ SV1160 ) ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3613]) ).
thf(3672,plain,
! [SV166: $i,SV915: $i,SV1161: $i,SV1467: $i,SV570: $i,SV1328: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
!= ( c_Nat_Osize__class_Osize @ SV1467 @ ( tc_List_Olist @ SV1161 ) ) )
= $true )
| ( ( ! [SY3749: $i] :
( ( c_List_Olist__all2 @ SY3749 @ ( c_List_Oappend @ SV1467 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3749 @ SV915 @ SV166 @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3749 @ SV1467 @ SV1328 @ SV1161 @ SV570 ) ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3614]) ).
thf(3673,plain,
! [SV1468: $i,SV1454: $i,SV926: $i,SV1333: $i,SV1168: $i,SV583: $i,SV180: $i] :
( ( ( c_List_Olist__all2 @ SV180 @ ( c_List_Olist_OCons @ SV583 @ SV1168 @ SV1333 ) @ ( c_List_Olist_OCons @ SV926 @ SV1454 @ SV1468 ) @ SV1333 @ SV1468 )
= $false )
| ( ( hBOOL @ ( hAPP @ ( hAPP @ SV180 @ SV583 ) @ SV926 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3615]) ).
thf(3674,plain,
! [SV1175: $i,SV1479: $i,SV936: $i,SV596: $i,SV1469: $i,SV194: $i,SV1336: $i] :
( ( ( ( c_List_Olist__all2 @ SV1336 @ ( c_List_Oappend @ SV194 @ SV1469 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SV1479 @ SV1175 ) @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SV1469 @ SV1479 @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SV194 @ SV936 @ SV596 @ SV1175 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SV1175 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3617]) ).
thf(3675,plain,
! [SV1347: $i,SV966: $i,SV1470: $i,SV1193: $i,SV634: $i,SV1455: $i,SV237: $i] :
( ( ( c_List_Olist__all2 @ SV237 @ ( c_List_Olist_OCons @ SV1455 @ SV634 @ SV1193 ) @ ( c_List_Olist_OCons @ SV1470 @ SV966 @ SV1347 ) @ SV1193 @ SV1347 )
= $false )
| ( ( c_List_Olist__all2 @ SV237 @ SV634 @ SV966 @ SV1193 @ SV1347 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3619]) ).
thf(3676,plain,
! [SV1352: $i,SV647: $i,SV1456: $i,SV1202: $i,SV1426: $i,SV974: $i,SV250: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV250 @ SV974 @ SV1426 @ SV1202 @ SV1456 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SV647 ) @ SV1352 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SV647 @ SV974 @ SV1202 ) @ ( c_List_Olist_OCons @ SV1352 @ SV1426 @ SV1456 ) @ SV1202 @ SV1456 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3621]) ).
thf(3677,plain,
! [SV1353: $i,SV648: $i,SV1457: $i,SV1203: $i,SV1427: $i,SV975: $i,SV251: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV251 @ SV975 @ SV1427 @ SV1203 @ SV1457 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SV648 ) @ SV1353 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SV648 @ SV975 @ SV1203 ) @ ( c_List_Olist_OCons @ SV1353 @ SV1427 @ SV1457 ) @ SV1203 @ SV1457 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3622]) ).
thf(3678,plain,
! [SV1354: $i,SV649: $i,SV1458: $i,SV1204: $i,SV1428: $i,SV976: $i,SV252: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV252 @ SV976 @ SV1428 @ SV1204 @ SV1458 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SV649 ) @ SV1354 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SV649 @ SV976 @ SV1204 ) @ ( c_List_Olist_OCons @ SV1354 @ SV1428 @ SV1458 ) @ SV1204 @ SV1458 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3623]) ).
thf(3679,plain,
! [SV1357: $i,SV654: $i,SV1207: $i,SV1430: $i,SV981: $i,SV257: $i] :
( ( ( c_List_Olistrelp @ SV257 @ SV981 @ SV1430 @ SV1207 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV257 @ SV654 ) @ SV1357 ) ) )
= $true )
| ( ( c_List_Olistrelp @ SV257 @ ( c_List_Olist_OCons @ SV654 @ SV981 @ SV1207 ) @ ( c_List_Olist_OCons @ SV1357 @ SV1430 @ SV1207 ) @ SV1207 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3624]) ).
thf(3680,plain,
! [SV1213: $i,SV990: $i,SV664: $i,SV1480: $i,SV267: $i,SV1361: $i] :
( ( ( ! [SY3755: $i] :
~ ( c_List_Olist__all2 @ SV1361 @ ( c_List_Oappend @ SV267 @ SV1480 @ SV664 ) @ ( c_List_Oappend @ SV990 @ SY3755 @ SV1213 ) @ SV664 @ SV1213 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1361 @ SV267 @ SV990 @ SV664 @ SV1213 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SV664 ) )
= ( c_Nat_Osize__class_Osize @ SV990 @ ( tc_List_Olist @ SV1213 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3627]) ).
thf(3681,plain,
! [SV991: $i,SV268: $i,SV1214: $i,SV665: $i,SV1481: $i,SV1473: $i,SV1362: $i] :
( ( ( ( c_List_Olist__all2 @ SV1362 @ SV1473 @ SV1481 @ SV665 @ SV1214 )
| ~ ( c_List_Olist__all2 @ SV1362 @ ( c_List_Oappend @ SV268 @ SV1473 @ SV665 ) @ ( c_List_Oappend @ SV991 @ SV1481 @ SV1214 ) @ SV665 @ SV1214 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SV665 ) )
= ( c_Nat_Osize__class_Osize @ SV991 @ ( tc_List_Olist @ SV1214 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3628]) ).
thf(3682,plain,
! [SV1231: $i,SV299: $i,SV696: $i,SV1011: $i] :
( ( ( SV1011
!= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) )
= $true )
| ( ( ( c_List_Oappend @ SV1011 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= ( c_List_Oappend @ SV299 @ SV1231 @ SV696 ) )
= $true )
| ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 )
= SV299 )
= $false )
| ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= SV1231 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3631]) ).
thf(3683,plain,
! [SV815: $i,SV1100: $i,SV449: $i,SV1397: $i,SV19: $i,SV1282: $i] :
( ( ( ! [SY3728: $i,SY3729: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1282 @ SV19 @ SV1397 @ SV449 @ SV1100 )
= ( c_Message_Oagent_Oagent__case @ SY3728 @ SV815 @ SY3729 @ SV449 @ SV1100 ) ) )
= $true )
| ( ( SV449 = c_Message_Oagent_OSpy )
= $true )
| ( ( SV449 = c_Message_Oagent_OServer )
= $true )
| ( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) )
= ( hAPP @ SV815 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3636]) ).
thf(3684,plain,
! [SV1111: $i,SV462: $i,SV1290: $i,SV828: $i,SV34: $i] :
( ( ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV828 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SV828 @ SV1290 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV34 @ SV462 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV34 @ SV1111 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SV462 @ SV828 @ SV1111 @ SV1290 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3645]) ).
thf(3685,plain,
! [SV1124: $i,SV495: $i,SV1482: $i,SV71: $i,SV847: $i,SV1475: $i] :
( ( ( ( ( c_Divides_Odiv__class_Omod @ SV1475 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SV1482 @ SV847 @ SV71 ) )
| ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1475 @ SV495 @ SV71 ) @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1482 @ SV1124 @ SV71 ) @ SV847 @ SV71 ) ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ SV495 @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ SV1124 @ SV847 @ SV71 ) )
= $false )
| ( ( class_Divides_Oring__div @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3652]) ).
thf(3686,plain,
! [SV498: $i,SV74: $i,SV1301: $i,SV1442: $i] :
( ( ( c_lessequals @ SV1442 @ SV1301 @ SV74 )
= $false )
| ( ( c_lessequals @ SV498 @ SV1442 @ SV74 )
= $false )
| ( ( c_lessequals @ SV498 @ SV1301 @ SV74 )
= $true )
| ( ( class_Orderings_Oorder @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3653]) ).
thf(3687,plain,
! [SV1302: $i,SV75: $i,SV1443: $i,SV499: $i] :
( ( ( c_lessequals @ SV499 @ SV1443 @ SV75 )
= $false )
| ( ( c_lessequals @ SV1443 @ SV1302 @ SV75 )
= $false )
| ( ( c_lessequals @ SV499 @ SV1302 @ SV75 )
= $true )
| ( ( class_Orderings_Opreorder @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3654]) ).
thf(3688,plain,
! [SV1132: $i,SV507: $i,SV1304: $i,SV852: $i,SV87: $i] :
( ( ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV852 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SV852 @ SV1304 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ SV507 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV87 @ SV1132 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SV507 @ SV852 @ SV1132 @ SV1304 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3656]) ).
thf(3689,plain,
! [SV508: $i,SV853: $i,SV88: $i,SV1408: $i,SV1445: $i] :
( ( ( c_lessequals @ SV1445 @ SV1408 @ SV88 )
= $true )
| ( ( ~ ( c_lessequals @ SV853 @ SV508 @ SV88 ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV508 @ SV853 @ SV88 )
= ( c_HOL_Ominus__class_Ominus @ SV1408 @ SV1445 @ SV88 ) )
= $false )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3657]) ).
thf(3690,plain,
! [SV1409: $i,SV1446: $i,SV89: $i,SV509: $i,SV854: $i] :
( ( ( c_lessequals @ SV854 @ SV509 @ SV89 )
= $true )
| ( ( ~ ( c_lessequals @ SV1446 @ SV1409 @ SV89 ) )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV509 @ SV854 @ SV89 )
= ( c_HOL_Ominus__class_Ominus @ SV1409 @ SV1446 @ SV89 ) )
= $false )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3658]) ).
thf(3691,plain,
! [SV1410: $i,SV107: $i,SV1307: $i,SV526: $i] :
( ( ( c_lessequals @ SV526 @ SV1307 @ SV107 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1307 @ SV1410 @ SV107 ) @ SV107 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV526 @ ( c_List_Olist_OCons @ SV1307 @ SV1410 @ SV107 ) @ SV107 ) @ SV107 )
= $true )
| ( ( class_Orderings_Olinorder @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3659]) ).
thf(3692,plain,
! [SV1137: $i,SV1308: $i,SV874: $i,SV535: $i,SV116: $i] :
( ( ( hBOOL @ ( hAPP @ SV116 @ SV535 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV116 @ ( hAPP @ SV874 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV116 @ SV874 @ SV1308 ) ) ) )
= $false )
| ( ( SV1308 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV116 @ ( c_Message_Oagent_Oagent__case @ SV535 @ SV874 @ SV1137 @ SV1308 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3660]) ).
thf(3693,plain,
! [SV1483: $i,SV875: $i,SV1138: $i,SV536: $i,SV1476: $i,SV117: $i,SV1309: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV1309 @ SV117 @ SV1476 @ SV536 @ SV1138 )
= ( c_Message_Oagent_Oagent__case @ SV1309 @ SV875 @ SV1483 @ SV536 @ SV1138 ) )
= $true )
| ( ( SV536 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( hAPP @ SV117 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) )
= ( hAPP @ SV875 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV536 @ SV117 @ SV875 @ SV1138 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3661]) ).
thf(3694,plain,
! [SV1139: $i,SV1310: $i,SV876: $i,SV537: $i,SV118: $i] :
( ( ( hBOOL @ ( hAPP @ SV118 @ SV537 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV118 @ ( hAPP @ SV876 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV118 @ SV876 @ SV1310 ) ) ) )
= $false )
| ( ( SV1310 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( hAPP @ SV118 @ ( c_Message_Oagent_Oagent__case @ SV537 @ SV876 @ SV1139 @ SV1310 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3662]) ).
thf(3695,plain,
! [SV541: $i,SV1141: $i,SV1311: $i,SV880: $i,SV122: $i] :
( ( ( hBOOL @ ( hAPP @ SV122 @ ( hAPP @ SV880 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV122 @ SV880 @ SV1311 ) ) ) )
= $false )
| ( ( SV1311 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV122 @ SV1141 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV122 @ ( c_Message_Oagent_Oagent__case @ SV541 @ SV880 @ SV1141 @ SV1311 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3663]) ).
thf(3696,plain,
! [SV542: $i,SV1142: $i,SV1312: $i,SV881: $i,SV123: $i] :
( ( ( hBOOL @ ( hAPP @ SV123 @ ( hAPP @ SV881 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV123 @ SV881 @ SV1312 ) ) ) )
= $false )
| ( ( SV1312 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( hAPP @ SV123 @ SV1142 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV123 @ ( c_Message_Oagent_Oagent__case @ SV542 @ SV881 @ SV1142 @ SV1312 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3664]) ).
thf(3697,plain,
! [SV882: $i,SV1484: $i,SV1143: $i,SV543: $i,SV1477: $i,SV124: $i,SV1313: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV1313 @ SV124 @ SV1477 @ SV543 @ SV1143 )
= ( c_Message_Oagent_Oagent__case @ SV1484 @ SV882 @ SV1477 @ SV543 @ SV1143 ) )
= $true )
| ( ( SV543 = c_Message_Oagent_OServer )
= $true )
| ( ( ( hAPP @ SV124 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) )
= ( hAPP @ SV882 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV543 @ SV124 @ SV882 @ SV1143 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3665]) ).
thf(3698,plain,
! [SV1145: $i,SV884: $i,SV1314: $i,SV545: $i,SV126: $i] :
( ( ( hBOOL @ ( hAPP @ SV126 @ SV545 ) )
= $false )
| ( ( SV1314
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV126 @ SV884 @ SV1314 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV126 @ SV1145 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV126 @ ( c_Message_Oagent_Oagent__case @ SV545 @ SV884 @ SV1145 @ SV1314 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3666]) ).
thf(3699,plain,
! [SV1146: $i,SV885: $i,SV1315: $i,SV546: $i,SV127: $i] :
( ( ( hBOOL @ ( hAPP @ SV127 @ SV546 ) )
= $false )
| ( ( SV1315
= ( c_Message_Oagent_OFriend @ ( v_sko__Message__Xagent__Xsplit__1 @ SV127 @ SV885 @ SV1315 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV127 @ SV1146 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV127 @ ( c_Message_Oagent_Oagent__case @ SV546 @ SV885 @ SV1146 @ SV1315 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3667]) ).
thf(3700,plain,
! [SV1478: $i,SV1413: $i,SV904: $i,SV149: $i,SV1318: $i,SV1451: $i,SV556: $i,SV1149: $i] :
( ( ( SV1149 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( SV1149
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1149 @ SV556 @ SV1451 @ SV1318 ) ) )
| ( SV1149 = c_Message_Oagent_OServer ) )
= $true )
| ( ( ( c_Message_Oagent_Oagent__case @ SV149 @ SV556 @ SV904 @ SV1149 @ SV1318 )
= ( c_Message_Oagent_Oagent__case @ SV1413 @ SV1451 @ SV1478 @ SV1149 @ SV1318 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3668]) ).
thf(3701,plain,
! [SV1158: $i,SV162: $i,SV1324: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 ) )
= $true )
| ( ( ~ ( c_List_Odistinct @ SV1158 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
| ( SV1158 = SV1324 ) )
= $true )
| ( ( c_List_Odistinct @ SV1324 @ SV162 )
= $false )
| ( ( ( c_List_Oset @ SV1158 @ SV162 )
= ( c_List_Oset @ SV1324 @ SV162 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3669]) ).
thf(3702,plain,
! [SV1326: $i,SV568: $i,SV1453: $i,SV1159: $i,SV1417: $i,SV913: $i,SV164: $i] :
( ( ( c_List_Olist__all2 @ SV164 @ SV913 @ SV1417 @ SV1159 @ SV1453 )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ SV164 @ SV568 @ SV1326 @ SV1159 @ SV1453 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SV568 @ SV913 @ SV1159 ) @ ( c_List_Oappend @ SV1326 @ SV1417 @ SV1453 ) @ SV1159 @ SV1453 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3670]) ).
thf(3703,plain,
! [SV914: $i,SV165: $i,SV1160: $i,SV1466: $i,SV569: $i,SV1327: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV1466 @ ( tc_List_Olist @ SV1160 ) ) )
= $false )
| ( ( ! [SY3748: $i] :
( ( c_List_Olist__all2 @ SY3748 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SV1466 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3748 @ SV165 @ SV914 @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SY3748 @ SV1327 @ SV1466 @ SV569 @ SV1160 ) ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3671]) ).
thf(3704,plain,
! [SV166: $i,SV915: $i,SV1161: $i,SV1467: $i,SV570: $i,SV1328: $i] :
( ( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV1467 @ ( tc_List_Olist @ SV1161 ) ) )
= $false )
| ( ( ! [SY3749: $i] :
( ( c_List_Olist__all2 @ SY3749 @ ( c_List_Oappend @ SV1467 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3749 @ SV915 @ SV166 @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SY3749 @ SV1467 @ SV1328 @ SV1161 @ SV570 ) ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3672]) ).
thf(3705,plain,
! [SV1175: $i,SV1479: $i,SV936: $i,SV596: $i,SV1469: $i,SV194: $i,SV1336: $i] :
( ( ( c_List_Olist__all2 @ SV1336 @ ( c_List_Oappend @ SV194 @ SV1469 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SV1479 @ SV1175 ) @ SV596 @ SV1175 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1336 @ SV1469 @ SV1479 @ SV596 @ SV1175 )
| ~ ( c_List_Olist__all2 @ SV1336 @ SV194 @ SV936 @ SV596 @ SV1175 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SV1175 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3674]) ).
thf(3706,plain,
! [SV1352: $i,SV647: $i,SV1456: $i,SV1202: $i,SV1426: $i,SV974: $i,SV250: $i] :
( ( ( c_List_Olist__all2 @ SV250 @ SV974 @ SV1426 @ SV1202 @ SV1456 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SV647 ) @ SV1352 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SV647 @ SV974 @ SV1202 ) @ ( c_List_Olist_OCons @ SV1352 @ SV1426 @ SV1456 ) @ SV1202 @ SV1456 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3676]) ).
thf(3707,plain,
! [SV1353: $i,SV648: $i,SV1457: $i,SV1203: $i,SV1427: $i,SV975: $i,SV251: $i] :
( ( ( c_List_Olist__all2 @ SV251 @ SV975 @ SV1427 @ SV1203 @ SV1457 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SV648 ) @ SV1353 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SV648 @ SV975 @ SV1203 ) @ ( c_List_Olist_OCons @ SV1353 @ SV1427 @ SV1457 ) @ SV1203 @ SV1457 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3677]) ).
thf(3708,plain,
! [SV1354: $i,SV649: $i,SV1458: $i,SV1204: $i,SV1428: $i,SV976: $i,SV252: $i] :
( ( ( c_List_Olist__all2 @ SV252 @ SV976 @ SV1428 @ SV1204 @ SV1458 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SV649 ) @ SV1354 ) ) )
= $true )
| ( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SV649 @ SV976 @ SV1204 ) @ ( c_List_Olist_OCons @ SV1354 @ SV1428 @ SV1458 ) @ SV1204 @ SV1458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3678]) ).
thf(3709,plain,
! [SV1207: $i,SV1430: $i,SV981: $i,SV1357: $i,SV654: $i,SV257: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV257 @ SV654 ) @ SV1357 ) )
= $false )
| ( ( c_List_Olistrelp @ SV257 @ SV981 @ SV1430 @ SV1207 )
= $false )
| ( ( c_List_Olistrelp @ SV257 @ ( c_List_Olist_OCons @ SV654 @ SV981 @ SV1207 ) @ ( c_List_Olist_OCons @ SV1357 @ SV1430 @ SV1207 ) @ SV1207 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3679]) ).
thf(3710,plain,
! [SV1213: $i,SV1485: $i,SV990: $i,SV664: $i,SV1480: $i,SV267: $i,SV1361: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV1361 @ ( c_List_Oappend @ SV267 @ SV1480 @ SV664 ) @ ( c_List_Oappend @ SV990 @ SV1485 @ SV1213 ) @ SV664 @ SV1213 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1361 @ SV267 @ SV990 @ SV664 @ SV1213 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SV664 ) )
= ( c_Nat_Osize__class_Osize @ SV990 @ ( tc_List_Olist @ SV1213 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3680]) ).
thf(3711,plain,
! [SV991: $i,SV268: $i,SV1214: $i,SV665: $i,SV1481: $i,SV1473: $i,SV1362: $i] :
( ( ( c_List_Olist__all2 @ SV1362 @ SV1473 @ SV1481 @ SV665 @ SV1214 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1362 @ ( c_List_Oappend @ SV268 @ SV1473 @ SV665 ) @ ( c_List_Oappend @ SV991 @ SV1481 @ SV1214 ) @ SV665 @ SV1214 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SV665 ) )
= ( c_Nat_Osize__class_Osize @ SV991 @ ( tc_List_Olist @ SV1214 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3681]) ).
thf(3712,plain,
! [SV1231: $i,SV299: $i,SV696: $i,SV1011: $i] :
( ( ( SV1011
= ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) )
= $false )
| ( ( ( c_List_Oappend @ SV1011 @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= ( c_List_Oappend @ SV299 @ SV1231 @ SV696 ) )
= $true )
| ( ( ( c_List_Otake @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 )
= SV299 )
= $false )
| ( ( ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV299 @ ( tc_List_Olist @ SV696 ) ) @ SV1011 @ SV696 ) @ ( c_List_Oappend @ ( c_List_Odrop @ ( c_Nat_Osize__class_Osize @ SV1011 @ ( tc_List_Olist @ SV696 ) ) @ SV299 @ SV696 ) @ SV1231 @ SV696 ) @ SV696 )
= SV1231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3682]) ).
thf(3713,plain,
! [SV815: $i,SV1486: $i,SV1100: $i,SV449: $i,SV1397: $i,SV19: $i,SV1282: $i] :
( ( ( ! [SY3756: $i] :
( ( c_Message_Oagent_Oagent__case @ SV1282 @ SV19 @ SV1397 @ SV449 @ SV1100 )
= ( c_Message_Oagent_Oagent__case @ SV1486 @ SV815 @ SY3756 @ SV449 @ SV1100 ) ) )
= $true )
| ( ( SV449 = c_Message_Oagent_OSpy )
= $true )
| ( ( SV449 = c_Message_Oagent_OServer )
= $true )
| ( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) )
= ( hAPP @ SV815 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3683]) ).
thf(3714,plain,
! [SV1111: $i,SV1290: $i,SV828: $i,SV462: $i,SV34: $i] :
( ( ( hBOOL @ ( hAPP @ SV34 @ SV462 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV34 @ ( hAPP @ SV828 @ ( v_sko__Message__Xagent__Xsplit__1 @ SV34 @ SV828 @ SV1290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV34 @ SV1111 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV34 @ ( c_Message_Oagent_Oagent__case @ SV462 @ SV828 @ SV1111 @ SV1290 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3684]) ).
thf(3715,plain,
! [SV1124: $i,SV495: $i,SV1482: $i,SV71: $i,SV847: $i,SV1475: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV1475 @ SV847 @ SV71 )
!= ( c_Divides_Odiv__class_Omod @ SV1482 @ SV847 @ SV71 ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1475 @ SV495 @ SV71 ) @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1482 @ SV1124 @ SV71 ) @ SV847 @ SV71 ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ SV495 @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ SV1124 @ SV847 @ SV71 ) )
= $false )
| ( ( class_Divides_Oring__div @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3685]) ).
thf(3716,plain,
! [SV1132: $i,SV1304: $i,SV852: $i,SV507: $i,SV87: $i] :
( ( ( hBOOL @ ( hAPP @ SV87 @ SV507 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV87 @ ( hAPP @ SV852 @ ( v_sko__Message__Xagent__Xsplit__asm__1 @ SV87 @ SV852 @ SV1304 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV87 @ SV1132 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV87 @ ( c_Message_Oagent_Oagent__case @ SV507 @ SV852 @ SV1132 @ SV1304 @ t_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3688]) ).
thf(3717,plain,
! [SV1408: $i,SV1445: $i,SV88: $i,SV508: $i,SV853: $i] :
( ( ( c_lessequals @ SV853 @ SV508 @ SV88 )
= $false )
| ( ( c_lessequals @ SV1445 @ SV1408 @ SV88 )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV508 @ SV853 @ SV88 )
= ( c_HOL_Ominus__class_Ominus @ SV1408 @ SV1445 @ SV88 ) )
= $false )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3689]) ).
thf(3718,plain,
! [SV509: $i,SV854: $i,SV89: $i,SV1409: $i,SV1446: $i] :
( ( ( c_lessequals @ SV1446 @ SV1409 @ SV89 )
= $false )
| ( ( c_lessequals @ SV854 @ SV509 @ SV89 )
= $true )
| ( ( ( c_HOL_Ominus__class_Ominus @ SV509 @ SV854 @ SV89 )
= ( c_HOL_Ominus__class_Ominus @ SV1409 @ SV1446 @ SV89 ) )
= $false )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3690]) ).
thf(3719,plain,
! [SV1478: $i,SV1413: $i,SV904: $i,SV149: $i,SV1318: $i,SV1451: $i,SV556: $i,SV1149: $i] :
( ( ( SV1149
= ( c_Message_Oagent_OFriend @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV1149 @ SV556 @ SV1451 @ SV1318 ) ) )
= $true )
| ( ( SV1149 = c_Message_Oagent_OServer )
= $true )
| ( ( SV1149 = c_Message_Oagent_OSpy )
= $true )
| ( ( ( c_Message_Oagent_Oagent__case @ SV149 @ SV556 @ SV904 @ SV1149 @ SV1318 )
= ( c_Message_Oagent_Oagent__case @ SV1413 @ SV1451 @ SV1478 @ SV1149 @ SV1318 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3700]) ).
thf(3720,plain,
! [SV1158: $i,SV162: $i,SV1324: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 )
= $false )
| ( ( ~ ( c_List_Odistinct @ SV1158 @ SV162 )
| ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
| ( SV1158 = SV1324 ) )
= $true )
| ( ( c_List_Odistinct @ SV1324 @ SV162 )
= $false )
| ( ( ( c_List_Oset @ SV1158 @ SV162 )
= ( c_List_Oset @ SV1324 @ SV162 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3701]) ).
thf(3721,plain,
! [SV1417: $i,SV913: $i,SV1453: $i,SV1159: $i,SV1326: $i,SV568: $i,SV164: $i] :
( ( ( c_List_Olist__all2 @ SV164 @ SV568 @ SV1326 @ SV1159 @ SV1453 )
= $false )
| ( ( c_List_Olist__all2 @ SV164 @ SV913 @ SV1417 @ SV1159 @ SV1453 )
= $false )
| ( ( c_List_Olist__all2 @ SV164 @ ( c_List_Oappend @ SV568 @ SV913 @ SV1159 ) @ ( c_List_Oappend @ SV1326 @ SV1417 @ SV1453 ) @ SV1159 @ SV1453 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3702]) ).
thf(3722,plain,
! [SV1160: $i,SV914: $i,SV1466: $i,SV569: $i,SV165: $i,SV1327: $i,SV1487: $i] :
( ( ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SV1466 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV165 @ SV914 @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV1327 @ SV1466 @ SV569 @ SV1160 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV1466 @ ( tc_List_Olist @ SV1160 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3703]) ).
thf(3723,plain,
! [SV570: $i,SV166: $i,SV1328: $i,SV1161: $i,SV915: $i,SV1467: $i,SV1488: $i] :
( ( ( ( c_List_Olist__all2 @ SV1488 @ ( c_List_Oappend @ SV1467 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SV1488 @ SV915 @ SV166 @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SV1488 @ SV1467 @ SV1328 @ SV1161 @ SV570 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV1467 @ ( tc_List_Olist @ SV1161 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3704]) ).
thf(3724,plain,
! [SV936: $i,SV194: $i,SV1175: $i,SV596: $i,SV1479: $i,SV1469: $i,SV1336: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV1336 @ SV1469 @ SV1479 @ SV596 @ SV1175 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1336 @ SV194 @ SV936 @ SV596 @ SV1175 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1336 @ ( c_List_Oappend @ SV194 @ SV1469 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SV1479 @ SV1175 ) @ SV596 @ SV1175 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SV1175 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3705]) ).
thf(3725,plain,
! [SV1456: $i,SV1202: $i,SV1426: $i,SV974: $i,SV1352: $i,SV647: $i,SV250: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV250 @ SV647 ) @ SV1352 ) )
= $false )
| ( ( c_List_Olist__all2 @ SV250 @ SV974 @ SV1426 @ SV1202 @ SV1456 )
= $false )
| ( ( c_List_Olist__all2 @ SV250 @ ( c_List_Olist_OCons @ SV647 @ SV974 @ SV1202 ) @ ( c_List_Olist_OCons @ SV1352 @ SV1426 @ SV1456 ) @ SV1202 @ SV1456 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3706]) ).
thf(3726,plain,
! [SV1457: $i,SV1203: $i,SV1427: $i,SV975: $i,SV1353: $i,SV648: $i,SV251: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV251 @ SV648 ) @ SV1353 ) )
= $false )
| ( ( c_List_Olist__all2 @ SV251 @ SV975 @ SV1427 @ SV1203 @ SV1457 )
= $false )
| ( ( c_List_Olist__all2 @ SV251 @ ( c_List_Olist_OCons @ SV648 @ SV975 @ SV1203 ) @ ( c_List_Olist_OCons @ SV1353 @ SV1427 @ SV1457 ) @ SV1203 @ SV1457 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3707]) ).
thf(3727,plain,
! [SV1458: $i,SV1204: $i,SV1428: $i,SV976: $i,SV1354: $i,SV649: $i,SV252: $i] :
( ( ( hBOOL @ ( hAPP @ ( hAPP @ SV252 @ SV649 ) @ SV1354 ) )
= $false )
| ( ( c_List_Olist__all2 @ SV252 @ SV976 @ SV1428 @ SV1204 @ SV1458 )
= $false )
| ( ( c_List_Olist__all2 @ SV252 @ ( c_List_Olist_OCons @ SV649 @ SV976 @ SV1204 ) @ ( c_List_Olist_OCons @ SV1354 @ SV1428 @ SV1458 ) @ SV1204 @ SV1458 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3708]) ).
thf(3728,plain,
! [SV1213: $i,SV1485: $i,SV990: $i,SV664: $i,SV1480: $i,SV267: $i,SV1361: $i] :
( ( ( c_List_Olist__all2 @ SV1361 @ ( c_List_Oappend @ SV267 @ SV1480 @ SV664 ) @ ( c_List_Oappend @ SV990 @ SV1485 @ SV1213 ) @ SV664 @ SV1213 )
= $false )
| ( ( c_List_Olist__all2 @ SV1361 @ SV267 @ SV990 @ SV664 @ SV1213 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV267 @ ( tc_List_Olist @ SV664 ) )
= ( c_Nat_Osize__class_Osize @ SV990 @ ( tc_List_Olist @ SV1213 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3710]) ).
thf(3729,plain,
! [SV1214: $i,SV1481: $i,SV991: $i,SV665: $i,SV1473: $i,SV268: $i,SV1362: $i] :
( ( ( c_List_Olist__all2 @ SV1362 @ ( c_List_Oappend @ SV268 @ SV1473 @ SV665 ) @ ( c_List_Oappend @ SV991 @ SV1481 @ SV1214 ) @ SV665 @ SV1214 )
= $false )
| ( ( c_List_Olist__all2 @ SV1362 @ SV1473 @ SV1481 @ SV665 @ SV1214 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV268 @ ( tc_List_Olist @ SV665 ) )
= ( c_Nat_Osize__class_Osize @ SV991 @ ( tc_List_Olist @ SV1214 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3711]) ).
thf(3730,plain,
! [SV1489: $i,SV815: $i,SV1486: $i,SV1100: $i,SV449: $i,SV1397: $i,SV19: $i,SV1282: $i] :
( ( ( ( c_Message_Oagent_Oagent__case @ SV1282 @ SV19 @ SV1397 @ SV449 @ SV1100 )
= ( c_Message_Oagent_Oagent__case @ SV1486 @ SV815 @ SV1489 @ SV449 @ SV1100 ) )
= $true )
| ( ( SV449 = c_Message_Oagent_OSpy )
= $true )
| ( ( SV449 = c_Message_Oagent_OServer )
= $true )
| ( ( ( hAPP @ SV19 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) )
= ( hAPP @ SV815 @ ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1 @ SV449 @ SV19 @ SV815 @ SV1100 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3713]) ).
thf(3731,plain,
! [SV1124: $i,SV495: $i,SV1482: $i,SV71: $i,SV847: $i,SV1475: $i] :
( ( ( ( c_Divides_Odiv__class_Omod @ SV1475 @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ SV1482 @ SV847 @ SV71 ) )
= $false )
| ( ( ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1475 @ SV495 @ SV71 ) @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ ( c_HOL_Ominus__class_Ominus @ SV1482 @ SV1124 @ SV71 ) @ SV847 @ SV71 ) )
= $true )
| ( ( ( c_Divides_Odiv__class_Omod @ SV495 @ SV847 @ SV71 )
= ( c_Divides_Odiv__class_Omod @ SV1124 @ SV847 @ SV71 ) )
= $false )
| ( ( class_Divides_Oring__div @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3715]) ).
thf(3732,plain,
! [SV1324: $i,SV162: $i,SV1158: $i] :
( ( ( ~ ( c_List_Odistinct @ SV1158 @ SV162 ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
| ( SV1158 = SV1324 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 )
= $false )
| ( ( c_List_Odistinct @ SV1324 @ SV162 )
= $false )
| ( ( ( c_List_Oset @ SV1158 @ SV162 )
= ( c_List_Oset @ SV1324 @ SV162 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3720]) ).
thf(3733,plain,
! [SV1160: $i,SV914: $i,SV1466: $i,SV569: $i,SV165: $i,SV1327: $i,SV1487: $i] :
( ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SV1466 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1487 @ SV165 @ SV914 @ SV569 @ SV1160 )
| ~ ( c_List_Olist__all2 @ SV1487 @ SV1327 @ SV1466 @ SV569 @ SV1160 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV1466 @ ( tc_List_Olist @ SV1160 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3722]) ).
thf(3734,plain,
! [SV570: $i,SV166: $i,SV1328: $i,SV1161: $i,SV915: $i,SV1467: $i,SV1488: $i] :
( ( ( c_List_Olist__all2 @ SV1488 @ ( c_List_Oappend @ SV1467 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1488 @ SV915 @ SV166 @ SV1161 @ SV570 )
| ~ ( c_List_Olist__all2 @ SV1488 @ SV1467 @ SV1328 @ SV1161 @ SV570 ) )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV1467 @ ( tc_List_Olist @ SV1161 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3723]) ).
thf(3735,plain,
! [SV936: $i,SV194: $i,SV1175: $i,SV596: $i,SV1479: $i,SV1469: $i,SV1336: $i] :
( ( ( c_List_Olist__all2 @ SV1336 @ SV1469 @ SV1479 @ SV596 @ SV1175 )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ SV1336 @ SV194 @ SV936 @ SV596 @ SV1175 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1336 @ ( c_List_Oappend @ SV194 @ SV1469 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SV1479 @ SV1175 ) @ SV596 @ SV1175 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SV1175 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3724]) ).
thf(3736,plain,
! [SV1324: $i,SV162: $i,SV1158: $i] :
( ( ( c_List_Odistinct @ SV1158 @ SV162 )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
| ( SV1158 = SV1324 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 )
= $false )
| ( ( c_List_Odistinct @ SV1324 @ SV162 )
= $false )
| ( ( ( c_List_Oset @ SV1158 @ SV162 )
= ( c_List_Oset @ SV1324 @ SV162 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3732]) ).
thf(3737,plain,
! [SV1466: $i,SV1327: $i,SV1160: $i,SV569: $i,SV914: $i,SV165: $i,SV1487: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV1487 @ SV165 @ SV914 @ SV569 @ SV1160 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1487 @ SV1327 @ SV1466 @ SV569 @ SV1160 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SV1466 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV1466 @ ( tc_List_Olist @ SV1160 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3733]) ).
thf(3738,plain,
! [SV1328: $i,SV1467: $i,SV570: $i,SV1161: $i,SV166: $i,SV915: $i,SV1488: $i] :
( ( ( ~ ( c_List_Olist__all2 @ SV1488 @ SV915 @ SV166 @ SV1161 @ SV570 ) )
= $true )
| ( ( ~ ( c_List_Olist__all2 @ SV1488 @ SV1467 @ SV1328 @ SV1161 @ SV570 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1488 @ ( c_List_Oappend @ SV1467 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV1467 @ ( tc_List_Olist @ SV1161 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3734]) ).
thf(3739,plain,
! [SV1479: $i,SV1469: $i,SV1175: $i,SV596: $i,SV936: $i,SV194: $i,SV1336: $i] :
( ( ( c_List_Olist__all2 @ SV1336 @ SV194 @ SV936 @ SV596 @ SV1175 )
= $false )
| ( ( c_List_Olist__all2 @ SV1336 @ SV1469 @ SV1479 @ SV596 @ SV1175 )
= $false )
| ( ( c_List_Olist__all2 @ SV1336 @ ( c_List_Oappend @ SV194 @ SV1469 @ SV596 ) @ ( c_List_Oappend @ SV936 @ SV1479 @ SV1175 ) @ SV596 @ SV1175 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV194 @ ( tc_List_Olist @ SV596 ) )
= ( c_Nat_Osize__class_Osize @ SV936 @ ( tc_List_Olist @ SV1175 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3735]) ).
thf(3740,plain,
! [SV1324: $i,SV162: $i,SV1158: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 ) )
= $true )
| ( ( SV1158 = SV1324 )
= $true )
| ( ( c_List_Odistinct @ SV1158 @ SV162 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 )
= $false )
| ( ( c_List_Odistinct @ SV1324 @ SV162 )
= $false )
| ( ( ( c_List_Oset @ SV1158 @ SV162 )
= ( c_List_Oset @ SV1324 @ SV162 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3736]) ).
thf(3741,plain,
! [SV1466: $i,SV1327: $i,SV1160: $i,SV569: $i,SV914: $i,SV165: $i,SV1487: $i] :
( ( ( c_List_Olist__all2 @ SV1487 @ SV165 @ SV914 @ SV569 @ SV1160 )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ SV1487 @ SV1327 @ SV1466 @ SV569 @ SV1160 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SV1466 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV1466 @ ( tc_List_Olist @ SV1160 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3737]) ).
thf(3742,plain,
! [SV1328: $i,SV1467: $i,SV570: $i,SV1161: $i,SV166: $i,SV915: $i,SV1488: $i] :
( ( ( c_List_Olist__all2 @ SV1488 @ SV915 @ SV166 @ SV1161 @ SV570 )
= $false )
| ( ( ~ ( c_List_Olist__all2 @ SV1488 @ SV1467 @ SV1328 @ SV1161 @ SV570 ) )
= $true )
| ( ( c_List_Olist__all2 @ SV1488 @ ( c_List_Oappend @ SV1467 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV1467 @ ( tc_List_Olist @ SV1161 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3738]) ).
thf(3743,plain,
! [SV1324: $i,SV162: $i,SV1158: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV1158 @ SV162 )
= $false )
| ( ( SV1158 = SV1324 )
= $true )
| ( ( c_List_Odistinct @ SV1158 @ SV162 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV1324 @ SV162 )
= $false )
| ( ( c_List_Odistinct @ SV1324 @ SV162 )
= $false )
| ( ( ( c_List_Oset @ SV1158 @ SV162 )
= ( c_List_Oset @ SV1324 @ SV162 ) )
= $false )
| ( ( class_Orderings_Olinorder @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3740]) ).
thf(3744,plain,
! [SV914: $i,SV165: $i,SV1160: $i,SV569: $i,SV1466: $i,SV1327: $i,SV1487: $i] :
( ( ( c_List_Olist__all2 @ SV1487 @ SV1327 @ SV1466 @ SV569 @ SV1160 )
= $false )
| ( ( c_List_Olist__all2 @ SV1487 @ SV165 @ SV914 @ SV569 @ SV1160 )
= $false )
| ( ( c_List_Olist__all2 @ SV1487 @ ( c_List_Oappend @ SV1327 @ SV165 @ SV569 ) @ ( c_List_Oappend @ SV1466 @ SV914 @ SV1160 ) @ SV569 @ SV1160 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1327 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV1466 @ ( tc_List_Olist @ SV1160 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV165 @ ( tc_List_Olist @ SV569 ) )
= ( c_Nat_Osize__class_Osize @ SV914 @ ( tc_List_Olist @ SV1160 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3741]) ).
thf(3745,plain,
! [SV166: $i,SV915: $i,SV570: $i,SV1161: $i,SV1328: $i,SV1467: $i,SV1488: $i] :
( ( ( c_List_Olist__all2 @ SV1488 @ SV1467 @ SV1328 @ SV1161 @ SV570 )
= $false )
| ( ( c_List_Olist__all2 @ SV1488 @ SV915 @ SV166 @ SV1161 @ SV570 )
= $false )
| ( ( c_List_Olist__all2 @ SV1488 @ ( c_List_Oappend @ SV1467 @ SV915 @ SV1161 ) @ ( c_List_Oappend @ SV1328 @ SV166 @ SV570 ) @ SV1161 @ SV570 )
= $true )
| ( ( ( c_Nat_Osize__class_Osize @ SV1328 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV1467 @ ( tc_List_Olist @ SV1161 ) ) )
= $false )
| ( ( ( c_Nat_Osize__class_Osize @ SV166 @ ( tc_List_Olist @ SV570 ) )
= ( c_Nat_Osize__class_Osize @ SV915 @ ( tc_List_Olist @ SV1161 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3742]) ).
thf(3746,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1488,3745,3744,3743,3739,3731,3730,3729,3728,3727,3726,3725,3721,3719,3718,3717,3716,3714,3712,3709,3699,3698,3697,3696,3695,3694,3693,3692,3691,3687,3686,3675,3673,3655,3651,3650,3649,3648,3647,3646,3644,3643,3642,3641,3640,3639,3638,3637,3635,3634,3633,3632,3630,3629,3626,3625,3620,3618,3616,3611,3609,3608,3606,3605,3604,3594,3590,3589,3587,3578,3577,3574,3563,3560,3559,3558,3557,3556,3555,3554,3553,3552,3551,3550,3549,3548,3547,3546,3544,3543,3542,3541,3539,3538,3531,3529,3528,3522,3521,3520,3517,3509,3507,3501,3498,3482,3475,3474,3473,3472,3466,3442,3441,3440,3439,3434,3433,3430,3422,3418,3417,3415,3414,3411,3410,3405,3402,3397,3396,3392,3391,3389,3388,3387,3386,3385,3384,3383,3381,3379,3378,3374,3368,3366,3357,3356,3355,3354,3353,3352,3351,3350,3349,3348,3347,3337,3334,3333,3317,3314,3313,3311,3310,3303,3302,3282,3281,3280,3279,3278,3277,3272,3271,3267,3266,3265,3264,3263,3262,3261,3260,3259,3258,3257,3256,3255,3254,3253,3251,3249,3241,3240,3231,3230,3225,3224,3221,3220,3217,3216,3210,3209,3205,3204,3192,3191,3190,3189,3188,3178,3177,3176,3175,3172,3171,3170,3169,3168,3166,3164,3162,3157,3152,3151,3150,3149,3148,3141,3137,3106,3085,3079,3078,3053,3052,3046,3044,3043,3042,3041,3039,3034,3033,3032,3029,3025,3024,3019,3017,3016,3014,3013,3011,3008,3005,2999,2995,2993,2992,2991,2990,2980,2978,2966,2955,2951,2925,2924,2923,2906,2902,2897,2895,2894,2890,2886,2885,2884,2882,2880,2879,2874,2873,2872,2871,2864,2863,2861,2860,2844,2823,2819,2814,2813,2812,2811,2804,2803,2796,2788,2780,2769,2765,2758,2754,2750,2746,2745,2741,2728,2725,2719,2715,2714,2710,2708,2707,2706,2703,2693,2692,2691,2689,2688,2683,2679,2660,2655,2642,2639,2634,2629,2619,2592,2563,2557,2551,2549,2538,2531,2525,2509,2506,2505,2501,2499,2498,2497,2476,2474,2470,2469,2467,2465,2464,2461,2459,2458,2454,2453,2451,2449,2435,2426,2424,2422,2418,2406,2405,2403,2400,2395,2365,2360,2359,2358,2355,2354,2345,2340,2336,2333,2330,2321,2318,2312,2305,2297,2291,2288,2286,2283,2282,2281,2280,2279,2278,2277,2274,2270,2256,2252,2241,2228,2227,2221,2214,2125,2102,2074,2061,2045,2040,2026,2025,1990,1986,1950,1944,1937,1936,1913,1910,1898,1869,1867,1848,1740,1731,1727,1595,1593,1548,1547,1517,1513,1512,1511,1510,1509,1508,1507,1506,1505]) ).
thf(3747,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3746]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV778-1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n016.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 16:48:44 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.67/5.19 ...
% 29.67/5.19
% 29.67/5.19 No.of.Axioms: 443
% 29.67/5.19
% 29.67/5.19 Length.of.Defs: 0
% 29.67/5.19
% 29.67/5.19 Contains.Choice.Funs: false
% 29.67/5.19 ..........................................................................................................................................................
% 29.67/5.19
% 29.67/5.19 ********************************
% 29.67/5.19 * All subproblems solved! *
% 29.67/5.19 ********************************
% 29.67/5.19 % SZS status Unsatisfiable for /export/starexec/sandbox/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:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3746,loop_count:0,foatp_calls:1,translation:fof_full)
% 29.67/5.19
% 29.67/5.19 %**** Beginning of derivation protocol ****
% 29.67/5.19 % SZS output start CNFRefutation
% See solution above
% 5.15/5.21
% 5.15/5.21 %**** End of derivation protocol ****
% 5.15/5.21 %**** no. of clauses in derivation: 3747 ****
% 5.15/5.21 %**** clause counter: 3746 ****
% 5.15/5.21
% 5.15/5.21 % SZS status Unsatisfiable for /export/starexec/sandbox/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:true,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3746,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------