%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWC313-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:53:25 AM UTC 2026
% Result : Unsatisfiable 18.33s 4.07s
% Output : CNFRefutation 18.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 198
% Syntax : Number of formulae : 1861 ( 839 unt; 0 typ; 0 def)
% Number of atoms : 15882 (5280 equ; 0 cnn)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 24270 (4295 ~;6291 |; 0 &;13684 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 75 ( 72 usr; 9 con; 0-2 aty)
% Number of variables : 4374 ( 0 ^;4374 !; 0 ?;4374 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_app,type,
app: $i > $i > $i ).
thf(tp_cons,type,
cons: $i > $i > $i ).
thf(tp_cyclefreeP,type,
cyclefreeP: $i > $o ).
thf(tp_duplicatefreeP,type,
duplicatefreeP: $i > $o ).
thf(tp_equalelemsP,type,
equalelemsP: $i > $o ).
thf(tp_frontsegP,type,
frontsegP: $i > $i > $o ).
thf(tp_geq,type,
geq: $i > $i > $o ).
thf(tp_gt,type,
gt: $i > $i > $o ).
thf(tp_hd,type,
hd: $i > $i ).
thf(tp_leq,type,
leq: $i > $i > $o ).
thf(tp_lt,type,
lt: $i > $i > $o ).
thf(tp_memberP,type,
memberP: $i > $i > $o ).
thf(tp_neq,type,
neq: $i > $i > $o ).
thf(tp_nil,type,
nil: $i ).
thf(tp_rearsegP,type,
rearsegP: $i > $i > $o ).
thf(tp_segmentP,type,
segmentP: $i > $i > $o ).
thf(tp_singletonP,type,
singletonP: $i > $o ).
thf(tp_sk1,type,
sk1: $i ).
thf(tp_sk2,type,
sk2: $i ).
thf(tp_sk3,type,
sk3: $i ).
thf(tp_sk4,type,
sk4: $i ).
thf(tp_skac2,type,
skac2: $i ).
thf(tp_skac3,type,
skac3: $i ).
thf(tp_skaf42,type,
skaf42: $i > $i > $i ).
thf(tp_skaf43,type,
skaf43: $i > $i > $i ).
thf(tp_skaf44,type,
skaf44: $i > $i ).
thf(tp_skaf45,type,
skaf45: $i > $i > $i ).
thf(tp_skaf46,type,
skaf46: $i > $i > $i ).
thf(tp_skaf47,type,
skaf47: $i > $i > $i ).
thf(tp_skaf48,type,
skaf48: $i > $i > $i ).
thf(tp_skaf49,type,
skaf49: $i > $i ).
thf(tp_skaf50,type,
skaf50: $i > $i ).
thf(tp_skaf51,type,
skaf51: $i > $i ).
thf(tp_skaf52,type,
skaf52: $i > $i ).
thf(tp_skaf53,type,
skaf53: $i > $i ).
thf(tp_skaf54,type,
skaf54: $i > $i ).
thf(tp_skaf55,type,
skaf55: $i > $i ).
thf(tp_skaf56,type,
skaf56: $i > $i ).
thf(tp_skaf57,type,
skaf57: $i > $i ).
thf(tp_skaf58,type,
skaf58: $i > $i ).
thf(tp_skaf59,type,
skaf59: $i > $i ).
thf(tp_skaf60,type,
skaf60: $i > $i ).
thf(tp_skaf61,type,
skaf61: $i > $i ).
thf(tp_skaf62,type,
skaf62: $i > $i ).
thf(tp_skaf63,type,
skaf63: $i > $i ).
thf(tp_skaf64,type,
skaf64: $i > $i ).
thf(tp_skaf65,type,
skaf65: $i > $i ).
thf(tp_skaf66,type,
skaf66: $i > $i ).
thf(tp_skaf67,type,
skaf67: $i > $i ).
thf(tp_skaf68,type,
skaf68: $i > $i ).
thf(tp_skaf69,type,
skaf69: $i > $i ).
thf(tp_skaf70,type,
skaf70: $i > $i ).
thf(tp_skaf71,type,
skaf71: $i > $i ).
thf(tp_skaf72,type,
skaf72: $i > $i ).
thf(tp_skaf73,type,
skaf73: $i > $i ).
thf(tp_skaf74,type,
skaf74: $i > $i ).
thf(tp_skaf75,type,
skaf75: $i > $i ).
thf(tp_skaf76,type,
skaf76: $i > $i ).
thf(tp_skaf77,type,
skaf77: $i > $i ).
thf(tp_skaf78,type,
skaf78: $i > $i ).
thf(tp_skaf79,type,
skaf79: $i > $i ).
thf(tp_skaf80,type,
skaf80: $i > $i ).
thf(tp_skaf81,type,
skaf81: $i > $i ).
thf(tp_skaf82,type,
skaf82: $i > $i ).
thf(tp_skaf83,type,
skaf83: $i > $i ).
thf(tp_ssItem,type,
ssItem: $i > $o ).
thf(tp_ssList,type,
ssList: $i > $o ).
thf(tp_strictorderP,type,
strictorderP: $i > $o ).
thf(tp_strictorderedP,type,
strictorderedP: $i > $o ).
thf(tp_tl,type,
tl: $i > $i ).
thf(tp_totalorderP,type,
totalorderP: $i > $o ).
thf(tp_totalorderedP,type,
totalorderedP: $i > $o ).
thf(1,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ~ ( leq @ U @ V )
| ~ ( leq @ V @ U )
| ( ( app @ ( app @ W @ ( cons @ U @ X ) ) @ ( cons @ V @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ X )
| ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ~ ( cyclefreeP @ Z )
| ~ ( ssList @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
thf(2,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( totalorderP @ Z )
| ~ ( ssList @ Z )
| ( leq @ V @ X )
| ( leq @ X @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
thf(3,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( strictorderP @ Z )
| ~ ( ssList @ Z )
| ( lt @ V @ X )
| ( lt @ X @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
thf(4,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( totalorderedP @ Z )
| ~ ( ssList @ Z )
| ( leq @ V @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
thf(5,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( strictorderedP @ Z )
| ~ ( ssList @ Z )
| ( lt @ V @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
thf(6,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( ( app @ U @ ( cons @ V @ ( cons @ W @ X ) ) )
!= Y )
| ~ ( ssList @ X )
| ~ ( ssList @ U )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( equalelemsP @ Y )
| ~ ( ssList @ Y )
| ( V = W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
thf(7,axiom,
! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) )
!= Y )
| ~ ( ssList @ X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ~ ( duplicatefreeP @ Y )
| ~ ( ssList @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
thf(8,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( frontsegP @ U @ V )
| ( W != X )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ W )
| ( frontsegP @ ( cons @ W @ U ) @ ( cons @ X @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
thf(9,axiom,
! [U: $i,V: $i] :
( ( ( tl @ U )
!= ( tl @ V ) )
| ( ( hd @ U )
!= ( hd @ V ) )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( nil = V )
| ( U = V )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
thf(10,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( frontsegP @ ( cons @ U @ V ) @ ( cons @ W @ X ) )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ( U = W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
thf(11,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( app @ U @ ( cons @ V @ W ) )
!= X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ~ ( ssList @ X )
| ( memberP @ X @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
thf(12,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( frontsegP @ ( cons @ U @ V ) @ ( cons @ W @ X ) )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ( frontsegP @ V @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
thf(13,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( app @ ( app @ U @ V ) @ W )
!= X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ X )
| ( segmentP @ X @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
thf(14,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( segmentP @ U @ V )
| ~ ( ssList @ W )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( segmentP @ ( app @ ( app @ X @ U ) @ W ) @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
thf(15,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( cons @ U @ V )
!= ( cons @ W @ X ) )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ( X = V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
thf(16,axiom,
! [U: $i,V: $i,W: $i,X: $i] :
( ( ( cons @ U @ V )
!= ( cons @ W @ X ) )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ( U = W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
thf(17,axiom,
! [U: $i,V: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssList @ U )
| ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
thf(18,axiom,
! [U: $i,V: $i] :
( ~ ( segmentP @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf47 @ U @ V ) @ V ) @ ( skaf48 @ V @ U ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
thf(19,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( cyclefreeP @ U )
| ( ( app @ ( app @ ( skaf51 @ U ) @ ( cons @ ( skaf49 @ U ) @ ( skaf52 @ U ) ) ) @ ( cons @ ( skaf50 @ U ) @ ( skaf53 @ U ) ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
thf(20,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( totalorderP @ U )
| ( ( app @ ( app @ ( skaf56 @ U ) @ ( cons @ ( skaf54 @ U ) @ ( skaf57 @ U ) ) ) @ ( cons @ ( skaf55 @ U ) @ ( skaf58 @ U ) ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
thf(21,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( strictorderP @ U )
| ( ( app @ ( app @ ( skaf61 @ U ) @ ( cons @ ( skaf59 @ U ) @ ( skaf62 @ U ) ) ) @ ( cons @ ( skaf60 @ U ) @ ( skaf63 @ U ) ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
thf(22,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( totalorderedP @ U )
| ( ( app @ ( app @ ( skaf66 @ U ) @ ( cons @ ( skaf64 @ U ) @ ( skaf67 @ U ) ) ) @ ( cons @ ( skaf65 @ U ) @ ( skaf68 @ U ) ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
thf(23,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( strictorderedP @ U )
| ( ( app @ ( app @ ( skaf71 @ U ) @ ( cons @ ( skaf69 @ U ) @ ( skaf72 @ U ) ) ) @ ( cons @ ( skaf70 @ U ) @ ( skaf73 @ U ) ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
thf(24,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( duplicatefreeP @ U )
| ( ( app @ ( app @ ( skaf75 @ U ) @ ( cons @ ( skaf74 @ U ) @ ( skaf76 @ U ) ) ) @ ( cons @ ( skaf74 @ U ) @ ( skaf77 @ U ) ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
thf(25,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ ( cons @ U @ V ) @ W )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ~ ( ssItem @ W )
| ( memberP @ V @ W )
| ( W = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
thf(26,axiom,
! [U: $i,V: $i] :
( ~ ( lt @ U @ ( hd @ V ) )
| ~ ( strictorderedP @ V )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( strictorderedP @ ( cons @ U @ V ) )
| ( nil = V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
thf(27,axiom,
! [U: $i,V: $i] :
( ~ ( leq @ U @ ( hd @ V ) )
| ~ ( totalorderedP @ V )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( totalorderedP @ ( cons @ U @ V ) )
| ( nil = V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
thf(28,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ ( app @ U @ V ) @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssItem @ W )
| ( memberP @ V @ W )
| ( memberP @ U @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
thf(29,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( ( cons @ U @ ( app @ V @ W ) )
= ( app @ ( cons @ U @ V ) @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
thf(30,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( leq @ U @ V )
| ~ ( leq @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( leq @ U @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
thf(31,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( lt @ U @ V )
| ~ ( lt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
thf(32,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( frontsegP @ U @ V )
| ~ ( frontsegP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( frontsegP @ U @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
thf(33,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( rearsegP @ U @ V )
| ~ ( rearsegP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( rearsegP @ U @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
thf(34,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( segmentP @ U @ V )
| ~ ( segmentP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( segmentP @ U @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
thf(35,axiom,
! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= ( app @ W @ V ) )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( U = W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
thf(36,axiom,
! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= ( app @ U @ W ) )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssList @ W )
| ( V = W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
thf(37,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( ( app @ ( app @ W @ V ) @ U )
= ( app @ W @ ( app @ V @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
thf(38,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( geq @ U @ V )
| ~ ( geq @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( geq @ U @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
thf(39,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( leq @ U @ V )
| ~ ( lt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
thf(40,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( gt @ U @ V )
| ~ ( gt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( gt @ U @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
thf(41,axiom,
! [U: $i,V: $i] :
( ( nil != U )
| ( nil != V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ U @ V )
= nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
thf(42,axiom,
! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssList @ W )
| ( frontsegP @ W @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
thf(43,axiom,
! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= W )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( rearsegP @ W @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
thf(44,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( equalelemsP @ U )
| ( ( app @ ( skaf80 @ U ) @ ( cons @ ( skaf78 @ U ) @ ( cons @ ( skaf79 @ U ) @ ( skaf81 @ U ) ) ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
thf(45,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssList @ U )
| ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ( memberP @ ( app @ W @ U ) @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
thf(46,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ( memberP @ ( app @ U @ W ) @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
thf(47,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssList @ U )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ( memberP @ ( cons @ W @ U ) @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
thf(48,axiom,
! [U: $i,V: $i,W: $i] :
( ( U != V )
| ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( memberP @ ( cons @ V @ W ) @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
thf(49,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( frontsegP @ U @ V )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( frontsegP @ ( app @ U @ W ) @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
thf(50,axiom,
! [U: $i,V: $i,W: $i] :
( ~ ( rearsegP @ U @ V )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( rearsegP @ ( app @ W @ U ) @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
thf(51,axiom,
! [U: $i,V: $i] :
( ~ ( totalorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( leq @ U @ ( hd @ V ) )
| ( nil = V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
thf(52,axiom,
! [U: $i,V: $i] :
( ~ ( strictorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ ( hd @ V ) )
| ( nil = V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
thf(53,axiom,
! [U: $i,V: $i] :
( ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( nil = V )
| ( ( tl @ ( app @ V @ U ) )
= ( app @ ( tl @ V ) @ U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
thf(54,axiom,
! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ V @ ( skaf45 @ U @ V ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
thf(55,axiom,
! [U: $i,V: $i] :
( ~ ( rearsegP @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ ( skaf46 @ U @ V ) @ V )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
thf(56,axiom,
! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( leq @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( V = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
thf(57,axiom,
! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ~ ( frontsegP @ V @ U )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( V = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
thf(58,axiom,
! [U: $i,V: $i] :
( ~ ( rearsegP @ U @ V )
| ~ ( rearsegP @ V @ U )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( V = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
thf(59,axiom,
! [U: $i,V: $i] :
( ~ ( segmentP @ U @ V )
| ~ ( segmentP @ V @ U )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( V = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
thf(60,axiom,
! [U: $i,V: $i] :
( ~ ( geq @ U @ V )
| ~ ( geq @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( V = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
thf(61,axiom,
! [U: $i,V: $i] :
( ~ ( totalorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( totalorderedP @ V )
| ( nil = V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
thf(62,axiom,
! [U: $i,V: $i] :
( ~ ( strictorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( strictorderedP @ V )
| ( nil = V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
thf(63,axiom,
! [U: $i,V: $i] :
( ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( nil = V )
| ( ( hd @ ( app @ V @ U ) )
= ( hd @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
thf(64,axiom,
! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ V )
| ( U = V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
thf(65,axiom,
! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ V )
| ( U = V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
thf(66,axiom,
! [U: $i,V: $i] :
( ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( ( app @ ( cons @ U @ nil ) @ V )
= ( cons @ U @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
thf(67,axiom,
! [U: $i,V: $i] :
( ( ( app @ U @ V )
!= nil )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( nil = V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
thf(68,axiom,
! [U: $i,V: $i] :
( ( ( app @ U @ V )
!= nil )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
thf(69,axiom,
! [U: $i,V: $i] :
( ( U != V )
| ~ ( neq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
thf(70,axiom,
! [U: $i,V: $i] :
( ( ( cons @ U @ nil )
!= V )
| ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( singletonP @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
thf(71,axiom,
! [U: $i,V: $i] :
( ( U != V )
| ~ ( neq @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
thf(72,axiom,
! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ~ ( lt @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
thf(73,axiom,
! [U: $i,V: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ( totalorderedP @ ( cons @ V @ U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
thf(74,axiom,
! [U: $i,V: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ( strictorderedP @ ( cons @ V @ U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
thf(75,axiom,
! [U: $i,V: $i] :
( ( U != V )
| ~ ( lt @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
thf(76,axiom,
! [U: $i,V: $i] :
( ~ ( gt @ U @ V )
| ~ ( gt @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
thf(77,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) )
= U )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
thf(78,axiom,
! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( geq @ V @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
thf(79,axiom,
! [U: $i,V: $i] :
( ~ ( geq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( leq @ V @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
thf(80,axiom,
! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( gt @ V @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
thf(81,axiom,
! [U: $i,V: $i] :
( ~ ( gt @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ V @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
thf(82,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
thf(83,axiom,
! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( leq @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
thf(84,axiom,
! [U: $i,V: $i] :
( ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( neq @ V @ U )
| ( V = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
thf(85,axiom,
! [U: $i] :
( ~ ( singletonP @ U )
| ~ ( ssList @ U )
| ( ( cons @ ( skaf44 @ U ) @ nil )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
thf(86,axiom,
! [U: $i,V: $i] :
( ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( neq @ V @ U )
| ( V = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
thf(87,axiom,
! [U: $i,V: $i] :
( ( ( cons @ U @ V )
!= V )
| ~ ( ssItem @ U )
| ~ ( ssList @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
thf(88,axiom,
! [U: $i,V: $i] :
( ( ( cons @ U @ V )
!= nil )
| ~ ( ssItem @ U )
| ~ ( ssList @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
thf(89,axiom,
! [U: $i,V: $i] :
( ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( ( hd @ ( cons @ U @ V ) )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
thf(90,axiom,
! [U: $i,V: $i] :
( ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( ( tl @ ( cons @ U @ V ) )
= V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
thf(91,axiom,
! [U: $i] :
( ~ ( leq @ ( skaf54 @ U ) @ ( skaf55 @ U ) )
| ~ ( ssList @ U )
| ( totalorderP @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
thf(92,axiom,
! [U: $i] :
( ~ ( leq @ ( skaf55 @ U ) @ ( skaf54 @ U ) )
| ~ ( ssList @ U )
| ( totalorderP @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
thf(93,axiom,
! [U: $i] :
( ~ ( lt @ ( skaf59 @ U ) @ ( skaf60 @ U ) )
| ~ ( ssList @ U )
| ( strictorderP @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
thf(94,axiom,
! [U: $i] :
( ~ ( lt @ ( skaf60 @ U ) @ ( skaf59 @ U ) )
| ~ ( ssList @ U )
| ( strictorderP @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
thf(95,axiom,
! [U: $i] :
( ~ ( leq @ ( skaf64 @ U ) @ ( skaf65 @ U ) )
| ~ ( ssList @ U )
| ( totalorderedP @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
thf(96,axiom,
! [U: $i] :
( ~ ( lt @ ( skaf69 @ U ) @ ( skaf70 @ U ) )
| ~ ( ssList @ U )
| ( strictorderedP @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
thf(97,axiom,
! [U: $i] :
( ( ( skaf79 @ U )
!= ( skaf78 @ U ) )
| ~ ( ssList @ U )
| ( equalelemsP @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
thf(98,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( cyclefreeP @ U )
| ( leq @ ( skaf49 @ U ) @ ( skaf50 @ U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
thf(99,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( cyclefreeP @ U )
| ( leq @ ( skaf50 @ U ) @ ( skaf49 @ U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
thf(100,axiom,
! [U: $i,V: $i] :
( ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( ssList @ ( cons @ U @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
thf(101,axiom,
! [U: $i,V: $i] :
( ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( ssList @ ( app @ V @ U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
thf(102,axiom,
! [U: $i] :
( ~ ( frontsegP @ nil @ U )
| ~ ( ssList @ U )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
thf(103,axiom,
! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( frontsegP @ nil @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
thf(104,axiom,
! [U: $i] :
( ~ ( rearsegP @ nil @ U )
| ~ ( ssList @ U )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
thf(105,axiom,
! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( rearsegP @ nil @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
thf(106,axiom,
! [U: $i] :
( ~ ( segmentP @ nil @ U )
| ~ ( ssList @ U )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
thf(107,axiom,
! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( segmentP @ nil @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
thf(108,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( ssItem @ ( hd @ U ) )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
thf(109,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( ssList @ ( tl @ U ) )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
thf(110,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( ssItem @ ( hd @ U ) )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
thf(111,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( ssList @ ( tl @ U ) )
| ( nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
thf(112,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ nil @ U )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
thf(113,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ U @ nil )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
thf(114,axiom,
! [U: $i,V: $i] :
( ~ ( ssList @ U )
| ( duplicatefreeP @ U )
| ( ssItem @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
thf(115,axiom,
! [U: $i] :
( ~ ( memberP @ nil @ U )
| ~ ( ssItem @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
thf(116,axiom,
! [U: $i] :
( ~ ( ssItem @ U )
| ( cyclefreeP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
thf(117,axiom,
! [U: $i] :
( ~ ( ssItem @ U )
| ( totalorderP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
thf(118,axiom,
! [U: $i] :
( ~ ( ssItem @ U )
| ( strictorderP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
thf(119,axiom,
! [U: $i] :
( ~ ( ssItem @ U )
| ( totalorderedP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
thf(120,axiom,
! [U: $i] :
( ~ ( ssItem @ U )
| ( strictorderedP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
thf(121,axiom,
! [U: $i] :
( ~ ( ssItem @ U )
| ( duplicatefreeP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
thf(122,axiom,
! [U: $i] :
( ~ ( ssItem @ U )
| ( equalelemsP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
thf(123,axiom,
! [U: $i] :
( ~ ( lt @ U @ U )
| ~ ( ssItem @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
thf(124,axiom,
! [U: $i] :
( ~ ( ssItem @ U )
| ( leq @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
thf(125,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( frontsegP @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
thf(126,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( frontsegP @ U @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
thf(127,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( rearsegP @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
thf(128,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( rearsegP @ U @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
thf(129,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( segmentP @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
thf(130,axiom,
! [U: $i] :
( ~ ( ssList @ U )
| ( segmentP @ U @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
thf(131,axiom,
! [U: $i] :
( ~ ( ssItem @ U )
| ( geq @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
thf(132,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
thf(133,axiom,
! [U: $i,V: $i] : ( ssList @ ( skaf42 @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
thf(134,axiom,
! [U: $i,V: $i] : ( ssList @ ( skaf43 @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
thf(135,axiom,
! [U: $i,V: $i] : ( ssList @ ( skaf45 @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
thf(136,axiom,
! [U: $i,V: $i] : ( ssList @ ( skaf46 @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
thf(137,axiom,
! [U: $i,V: $i] : ( ssList @ ( skaf47 @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
thf(138,axiom,
! [U: $i,V: $i] : ( ssList @ ( skaf48 @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
thf(139,axiom,
! [U: $i] : ( ssItem @ ( skaf44 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
thf(140,axiom,
! [U: $i] : ( ssItem @ ( skaf49 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
thf(141,axiom,
! [U: $i] : ( ssItem @ ( skaf50 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
thf(142,axiom,
! [U: $i] : ( ssList @ ( skaf51 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
thf(143,axiom,
! [U: $i] : ( ssList @ ( skaf52 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
thf(144,axiom,
! [U: $i] : ( ssList @ ( skaf53 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
thf(145,axiom,
! [U: $i] : ( ssItem @ ( skaf54 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
thf(146,axiom,
! [U: $i] : ( ssItem @ ( skaf55 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
thf(147,axiom,
! [U: $i] : ( ssList @ ( skaf56 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
thf(148,axiom,
! [U: $i] : ( ssList @ ( skaf57 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
thf(149,axiom,
! [U: $i] : ( ssList @ ( skaf58 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
thf(150,axiom,
! [U: $i] : ( ssItem @ ( skaf59 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
thf(151,axiom,
! [U: $i] : ( ssItem @ ( skaf60 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
thf(152,axiom,
! [U: $i] : ( ssList @ ( skaf61 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
thf(153,axiom,
! [U: $i] : ( ssList @ ( skaf62 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
thf(154,axiom,
! [U: $i] : ( ssList @ ( skaf63 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
thf(155,axiom,
! [U: $i] : ( ssItem @ ( skaf64 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
thf(156,axiom,
! [U: $i] : ( ssItem @ ( skaf65 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
thf(157,axiom,
! [U: $i] : ( ssList @ ( skaf66 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
thf(158,axiom,
! [U: $i] : ( ssList @ ( skaf67 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
thf(159,axiom,
! [U: $i] : ( ssList @ ( skaf68 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
thf(160,axiom,
! [U: $i] : ( ssItem @ ( skaf69 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
thf(161,axiom,
! [U: $i] : ( ssItem @ ( skaf70 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
thf(162,axiom,
! [U: $i] : ( ssList @ ( skaf71 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
thf(163,axiom,
! [U: $i] : ( ssList @ ( skaf72 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
thf(164,axiom,
! [U: $i] : ( ssList @ ( skaf73 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
thf(165,axiom,
! [U: $i] : ( ssItem @ ( skaf74 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
thf(166,axiom,
! [U: $i] : ( ssList @ ( skaf75 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
thf(167,axiom,
! [U: $i] : ( ssList @ ( skaf76 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
thf(168,axiom,
! [U: $i] : ( ssList @ ( skaf77 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
thf(169,axiom,
! [U: $i] : ( ssItem @ ( skaf78 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
thf(170,axiom,
! [U: $i] : ( ssItem @ ( skaf79 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
thf(171,axiom,
! [U: $i] : ( ssList @ ( skaf80 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
thf(172,axiom,
! [U: $i] : ( ssList @ ( skaf81 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
thf(173,axiom,
! [U: $i] : ( ssList @ ( skaf82 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
thf(174,axiom,
! [U: $i] : ( ssItem @ ( skaf83 @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
thf(175,axiom,
~ ( singletonP @ nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
thf(176,axiom,
ssItem @ skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
thf(177,axiom,
ssItem @ skac3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
thf(178,axiom,
ssList @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
thf(179,axiom,
cyclefreeP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
thf(180,axiom,
totalorderP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
thf(181,axiom,
strictorderP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
thf(182,axiom,
totalorderedP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
thf(183,axiom,
strictorderedP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
thf(184,axiom,
duplicatefreeP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
thf(185,axiom,
equalelemsP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
thf(186,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(187,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[186]) ).
thf(188,negated_conjecture,
! [A: $i,B: $i] :
( ( nil != sk1 )
| ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
thf(189,negated_conjecture,
( ( nil != sk1 )
| ( neq @ sk2 @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
thf(190,negated_conjecture,
! [A: $i,B: $i] :
( ( nil = sk2 )
| ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
thf(191,negated_conjecture,
( ( nil = sk2 )
| ( neq @ sk2 @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
thf(192,negated_conjecture,
( ( nil = sk3 )
| ( nil != sk4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
thf(193,negated_conjecture,
! [A: $i,B: $i] :
( ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( ( app @ B @ ( cons @ A @ nil ) )
= sk3 )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
thf(194,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
thf(195,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
thf(196,negated_conjecture,
ssList @ sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
thf(197,negated_conjecture,
ssList @ sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
thf(198,negated_conjecture,
ssList @ sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
thf(199,negated_conjecture,
ssList @ sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
thf(200,plain,
$false = $false,
inference(unfold_def,[status(thm)],[187]) ).
thf(201,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ~ ( leq @ U @ V )
| ~ ( leq @ V @ U )
| ( ( app @ ( app @ W @ ( cons @ U @ X ) ) @ ( cons @ V @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ X )
| ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ~ ( cyclefreeP @ Z )
| ~ ( ssList @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(202,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( totalorderP @ Z )
| ~ ( ssList @ Z )
| ( leq @ V @ X )
| ( leq @ X @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(203,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( strictorderP @ Z )
| ~ ( ssList @ Z )
| ( lt @ V @ X )
| ( lt @ X @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(204,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( totalorderedP @ Z )
| ~ ( ssList @ Z )
| ( leq @ V @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(205,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( strictorderedP @ Z )
| ~ ( ssList @ Z )
| ( lt @ V @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(206,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( ( app @ U @ ( cons @ V @ ( cons @ W @ X ) ) )
!= Y )
| ~ ( ssList @ X )
| ~ ( ssList @ U )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( equalelemsP @ Y )
| ~ ( ssList @ Y )
| ( V = W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(207,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) )
!= Y )
| ~ ( ssList @ X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ~ ( duplicatefreeP @ Y )
| ~ ( ssList @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(208,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( frontsegP @ U @ V )
| ( W != X )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ W )
| ( frontsegP @ ( cons @ W @ U ) @ ( cons @ X @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(209,plain,
( ( ! [U: $i,V: $i] :
( ( ( tl @ U )
!= ( tl @ V ) )
| ( ( hd @ U )
!= ( hd @ V ) )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( nil = V )
| ( U = V )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(210,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( frontsegP @ ( cons @ U @ V ) @ ( cons @ W @ X ) )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ( U = W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(211,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( app @ U @ ( cons @ V @ W ) )
!= X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ~ ( ssList @ X )
| ( memberP @ X @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(212,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( frontsegP @ ( cons @ U @ V ) @ ( cons @ W @ X ) )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ( frontsegP @ V @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(213,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( app @ ( app @ U @ V ) @ W )
!= X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ X )
| ( segmentP @ X @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(214,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( segmentP @ U @ V )
| ~ ( ssList @ W )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( segmentP @ ( app @ ( app @ X @ U ) @ W ) @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(215,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( cons @ U @ V )
!= ( cons @ W @ X ) )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ( X = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(216,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( cons @ U @ V )
!= ( cons @ W @ X ) )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ( U = W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(217,plain,
( ( ! [U: $i,V: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssList @ U )
| ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(218,plain,
( ( ! [U: $i,V: $i] :
( ~ ( segmentP @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf47 @ U @ V ) @ V ) @ ( skaf48 @ V @ U ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(219,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( cyclefreeP @ U )
| ( ( app @ ( app @ ( skaf51 @ U ) @ ( cons @ ( skaf49 @ U ) @ ( skaf52 @ U ) ) ) @ ( cons @ ( skaf50 @ U ) @ ( skaf53 @ U ) ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(220,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( totalorderP @ U )
| ( ( app @ ( app @ ( skaf56 @ U ) @ ( cons @ ( skaf54 @ U ) @ ( skaf57 @ U ) ) ) @ ( cons @ ( skaf55 @ U ) @ ( skaf58 @ U ) ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(221,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( strictorderP @ U )
| ( ( app @ ( app @ ( skaf61 @ U ) @ ( cons @ ( skaf59 @ U ) @ ( skaf62 @ U ) ) ) @ ( cons @ ( skaf60 @ U ) @ ( skaf63 @ U ) ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(222,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( totalorderedP @ U )
| ( ( app @ ( app @ ( skaf66 @ U ) @ ( cons @ ( skaf64 @ U ) @ ( skaf67 @ U ) ) ) @ ( cons @ ( skaf65 @ U ) @ ( skaf68 @ U ) ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(223,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( strictorderedP @ U )
| ( ( app @ ( app @ ( skaf71 @ U ) @ ( cons @ ( skaf69 @ U ) @ ( skaf72 @ U ) ) ) @ ( cons @ ( skaf70 @ U ) @ ( skaf73 @ U ) ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(224,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( duplicatefreeP @ U )
| ( ( app @ ( app @ ( skaf75 @ U ) @ ( cons @ ( skaf74 @ U ) @ ( skaf76 @ U ) ) ) @ ( cons @ ( skaf74 @ U ) @ ( skaf77 @ U ) ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(225,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ ( cons @ U @ V ) @ W )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ~ ( ssItem @ W )
| ( memberP @ V @ W )
| ( W = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(226,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ ( hd @ V ) )
| ~ ( strictorderedP @ V )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( strictorderedP @ ( cons @ U @ V ) )
| ( nil = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(227,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ ( hd @ V ) )
| ~ ( totalorderedP @ V )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( totalorderedP @ ( cons @ U @ V ) )
| ( nil = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(228,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ ( app @ U @ V ) @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssItem @ W )
| ( memberP @ V @ W )
| ( memberP @ U @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(229,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( ( cons @ U @ ( app @ V @ W ) )
= ( app @ ( cons @ U @ V ) @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(230,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( leq @ U @ V )
| ~ ( leq @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( leq @ U @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(231,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( lt @ U @ V )
| ~ ( lt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(232,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( frontsegP @ U @ V )
| ~ ( frontsegP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( frontsegP @ U @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(233,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( rearsegP @ U @ V )
| ~ ( rearsegP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( rearsegP @ U @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(234,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( segmentP @ U @ V )
| ~ ( segmentP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( segmentP @ U @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(235,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= ( app @ W @ V ) )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( U = W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(236,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= ( app @ U @ W ) )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssList @ W )
| ( V = W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(237,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( ( app @ ( app @ W @ V ) @ U )
= ( app @ W @ ( app @ V @ U ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(238,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( geq @ U @ V )
| ~ ( geq @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( geq @ U @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(239,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( leq @ U @ V )
| ~ ( lt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(240,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( gt @ U @ V )
| ~ ( gt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( gt @ U @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(241,plain,
( ( ! [U: $i,V: $i] :
( ( nil != U )
| ( nil != V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ U @ V )
= nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(242,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssList @ W )
| ( frontsegP @ W @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(243,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= W )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( rearsegP @ W @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(244,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( equalelemsP @ U )
| ( ( app @ ( skaf80 @ U ) @ ( cons @ ( skaf78 @ U ) @ ( cons @ ( skaf79 @ U ) @ ( skaf81 @ U ) ) ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(245,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssList @ U )
| ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ( memberP @ ( app @ W @ U ) @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(246,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ( memberP @ ( app @ U @ W ) @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(247,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssList @ U )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ( memberP @ ( cons @ W @ U ) @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(248,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( U != V )
| ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( memberP @ ( cons @ V @ W ) @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(249,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( frontsegP @ U @ V )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( frontsegP @ ( app @ U @ W ) @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(250,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( rearsegP @ U @ V )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( rearsegP @ ( app @ W @ U ) @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(251,plain,
( ( ! [U: $i,V: $i] :
( ~ ( totalorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( leq @ U @ ( hd @ V ) )
| ( nil = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(252,plain,
( ( ! [U: $i,V: $i] :
( ~ ( strictorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ ( hd @ V ) )
| ( nil = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(253,plain,
( ( ! [U: $i,V: $i] :
( ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( nil = V )
| ( ( tl @ ( app @ V @ U ) )
= ( app @ ( tl @ V ) @ U ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(254,plain,
( ( ! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ V @ ( skaf45 @ U @ V ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(255,plain,
( ( ! [U: $i,V: $i] :
( ~ ( rearsegP @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ ( skaf46 @ U @ V ) @ V )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(256,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( leq @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( V = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(257,plain,
( ( ! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ~ ( frontsegP @ V @ U )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( V = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(258,plain,
( ( ! [U: $i,V: $i] :
( ~ ( rearsegP @ U @ V )
| ~ ( rearsegP @ V @ U )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( V = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(259,plain,
( ( ! [U: $i,V: $i] :
( ~ ( segmentP @ U @ V )
| ~ ( segmentP @ V @ U )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( V = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(260,plain,
( ( ! [U: $i,V: $i] :
( ~ ( geq @ U @ V )
| ~ ( geq @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( V = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(261,plain,
( ( ! [U: $i,V: $i] :
( ~ ( totalorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( totalorderedP @ V )
| ( nil = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(262,plain,
( ( ! [U: $i,V: $i] :
( ~ ( strictorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( strictorderedP @ V )
| ( nil = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(263,plain,
( ( ! [U: $i,V: $i] :
( ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( nil = V )
| ( ( hd @ ( app @ V @ U ) )
= ( hd @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(264,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ V )
| ( U = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(265,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ V )
| ( U = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(266,plain,
( ( ! [U: $i,V: $i] :
( ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( ( app @ ( cons @ U @ nil ) @ V )
= ( cons @ U @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(267,plain,
( ( ! [U: $i,V: $i] :
( ( ( app @ U @ V )
!= nil )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( nil = V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(268,plain,
( ( ! [U: $i,V: $i] :
( ( ( app @ U @ V )
!= nil )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(269,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ~ ( neq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(270,plain,
( ( ! [U: $i,V: $i] :
( ( ( cons @ U @ nil )
!= V )
| ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( singletonP @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(271,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ~ ( neq @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(272,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ~ ( lt @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(273,plain,
( ( ! [U: $i,V: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ( totalorderedP @ ( cons @ V @ U ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(274,plain,
( ( ! [U: $i,V: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ( strictorderedP @ ( cons @ V @ U ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(275,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ~ ( lt @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(276,plain,
( ( ! [U: $i,V: $i] :
( ~ ( gt @ U @ V )
| ~ ( gt @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(277,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) )
= U )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(278,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( geq @ V @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(279,plain,
( ( ! [U: $i,V: $i] :
( ~ ( geq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( leq @ V @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(280,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( gt @ V @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(281,plain,
( ( ! [U: $i,V: $i] :
( ~ ( gt @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ V @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(282,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(283,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( leq @ U @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(284,plain,
( ( ! [U: $i,V: $i] :
( ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( neq @ V @ U )
| ( V = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(285,plain,
( ( ! [U: $i] :
( ~ ( singletonP @ U )
| ~ ( ssList @ U )
| ( ( cons @ ( skaf44 @ U ) @ nil )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(286,plain,
( ( ! [U: $i,V: $i] :
( ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( neq @ V @ U )
| ( V = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(287,plain,
( ( ! [U: $i,V: $i] :
( ( ( cons @ U @ V )
!= V )
| ~ ( ssItem @ U )
| ~ ( ssList @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(288,plain,
( ( ! [U: $i,V: $i] :
( ( ( cons @ U @ V )
!= nil )
| ~ ( ssItem @ U )
| ~ ( ssList @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(289,plain,
( ( ! [U: $i,V: $i] :
( ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( ( hd @ ( cons @ U @ V ) )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(290,plain,
( ( ! [U: $i,V: $i] :
( ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( ( tl @ ( cons @ U @ V ) )
= V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(291,plain,
( ( ! [U: $i] :
( ~ ( leq @ ( skaf54 @ U ) @ ( skaf55 @ U ) )
| ~ ( ssList @ U )
| ( totalorderP @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(292,plain,
( ( ! [U: $i] :
( ~ ( leq @ ( skaf55 @ U ) @ ( skaf54 @ U ) )
| ~ ( ssList @ U )
| ( totalorderP @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(293,plain,
( ( ! [U: $i] :
( ~ ( lt @ ( skaf59 @ U ) @ ( skaf60 @ U ) )
| ~ ( ssList @ U )
| ( strictorderP @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(294,plain,
( ( ! [U: $i] :
( ~ ( lt @ ( skaf60 @ U ) @ ( skaf59 @ U ) )
| ~ ( ssList @ U )
| ( strictorderP @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(295,plain,
( ( ! [U: $i] :
( ~ ( leq @ ( skaf64 @ U ) @ ( skaf65 @ U ) )
| ~ ( ssList @ U )
| ( totalorderedP @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(296,plain,
( ( ! [U: $i] :
( ~ ( lt @ ( skaf69 @ U ) @ ( skaf70 @ U ) )
| ~ ( ssList @ U )
| ( strictorderedP @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(297,plain,
( ( ! [U: $i] :
( ( ( skaf79 @ U )
!= ( skaf78 @ U ) )
| ~ ( ssList @ U )
| ( equalelemsP @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(298,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( cyclefreeP @ U )
| ( leq @ ( skaf49 @ U ) @ ( skaf50 @ U ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(299,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( cyclefreeP @ U )
| ( leq @ ( skaf50 @ U ) @ ( skaf49 @ U ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(300,plain,
( ( ! [U: $i,V: $i] :
( ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( ssList @ ( cons @ U @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(301,plain,
( ( ! [U: $i,V: $i] :
( ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( ssList @ ( app @ V @ U ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(302,plain,
( ( ! [U: $i] :
( ~ ( frontsegP @ nil @ U )
| ~ ( ssList @ U )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(303,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( frontsegP @ nil @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(304,plain,
( ( ! [U: $i] :
( ~ ( rearsegP @ nil @ U )
| ~ ( ssList @ U )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(305,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( rearsegP @ nil @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(306,plain,
( ( ! [U: $i] :
( ~ ( segmentP @ nil @ U )
| ~ ( ssList @ U )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(307,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( segmentP @ nil @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(308,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ssItem @ ( hd @ U ) )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(309,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ssList @ ( tl @ U ) )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(310,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ssItem @ ( hd @ U ) )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(311,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ssList @ ( tl @ U ) )
| ( nil = U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(312,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ nil @ U )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(313,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ U @ nil )
= U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(314,plain,
( ( ! [U: $i,V: $i] :
( ~ ( ssList @ U )
| ( duplicatefreeP @ U )
| ( ssItem @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(315,plain,
( ( ! [U: $i] :
( ~ ( memberP @ nil @ U )
| ~ ( ssItem @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(316,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( cyclefreeP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(317,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( totalorderP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(318,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( strictorderP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(319,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( totalorderedP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(320,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( strictorderedP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(321,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( duplicatefreeP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(322,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( equalelemsP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(323,plain,
( ( ! [U: $i] :
( ~ ( lt @ U @ U )
| ~ ( ssItem @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(324,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( leq @ U @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(325,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( frontsegP @ U @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(326,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( frontsegP @ U @ nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(327,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( rearsegP @ U @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(328,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( rearsegP @ U @ nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(329,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( segmentP @ U @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(330,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( segmentP @ U @ nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(331,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( geq @ U @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(332,plain,
( ( skac3 != skac2 )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(333,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf42 @ U @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(334,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf43 @ U @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(335,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf45 @ U @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(336,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf46 @ U @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(337,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf47 @ U @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(338,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf48 @ U @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(339,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf44 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(340,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf49 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(341,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf50 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(342,plain,
( ( ! [U: $i] : ( ssList @ ( skaf51 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(343,plain,
( ( ! [U: $i] : ( ssList @ ( skaf52 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(344,plain,
( ( ! [U: $i] : ( ssList @ ( skaf53 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(345,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf54 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(346,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf55 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(347,plain,
( ( ! [U: $i] : ( ssList @ ( skaf56 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(348,plain,
( ( ! [U: $i] : ( ssList @ ( skaf57 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(349,plain,
( ( ! [U: $i] : ( ssList @ ( skaf58 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(350,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf59 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(351,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf60 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(352,plain,
( ( ! [U: $i] : ( ssList @ ( skaf61 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(353,plain,
( ( ! [U: $i] : ( ssList @ ( skaf62 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(354,plain,
( ( ! [U: $i] : ( ssList @ ( skaf63 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(355,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf64 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(356,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf65 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(357,plain,
( ( ! [U: $i] : ( ssList @ ( skaf66 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(358,plain,
( ( ! [U: $i] : ( ssList @ ( skaf67 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(359,plain,
( ( ! [U: $i] : ( ssList @ ( skaf68 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(360,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf69 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(361,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf70 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(362,plain,
( ( ! [U: $i] : ( ssList @ ( skaf71 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(363,plain,
( ( ! [U: $i] : ( ssList @ ( skaf72 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(364,plain,
( ( ! [U: $i] : ( ssList @ ( skaf73 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(365,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf74 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(366,plain,
( ( ! [U: $i] : ( ssList @ ( skaf75 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(367,plain,
( ( ! [U: $i] : ( ssList @ ( skaf76 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(368,plain,
( ( ! [U: $i] : ( ssList @ ( skaf77 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(369,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf78 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(370,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf79 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(371,plain,
( ( ! [U: $i] : ( ssList @ ( skaf80 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(372,plain,
( ( ! [U: $i] : ( ssList @ ( skaf81 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(373,plain,
( ( ! [U: $i] : ( ssList @ ( skaf82 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(374,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf83 @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(375,plain,
( ( ~ ( singletonP @ nil ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(376,plain,
( ( ssItem @ skac2 )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(377,plain,
( ( ssItem @ skac3 )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(378,plain,
( ( ssList @ nil )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(379,plain,
( ( cyclefreeP @ nil )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(380,plain,
( ( totalorderP @ nil )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(381,plain,
( ( strictorderP @ nil )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(382,plain,
( ( totalorderedP @ nil )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(383,plain,
( ( strictorderedP @ nil )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(384,plain,
( ( duplicatefreeP @ nil )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(385,plain,
( ( equalelemsP @ nil )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(386,plain,
( ( ! [A: $i,B: $i] :
( ( nil != sk1 )
| ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(387,plain,
( ( ( nil != sk1 )
| ( neq @ sk2 @ nil ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(388,plain,
( ( ! [A: $i,B: $i] :
( ( nil = sk2 )
| ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(389,plain,
( ( ( nil = sk2 )
| ( neq @ sk2 @ nil ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(390,plain,
( ( ( nil = sk3 )
| ( nil != sk4 ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(391,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ssItem @ A )
| ~ ( ssList @ B )
| ( ( app @ B @ ( cons @ A @ nil ) )
= sk3 )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(392,plain,
( ( sk1 = sk3 )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(393,plain,
( ( sk2 = sk4 )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(394,plain,
( ( ssList @ sk4 )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(395,plain,
( ( ssList @ sk3 )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(396,plain,
( ( ssList @ sk2 )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(397,plain,
( ( ssList @ sk1 )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(398,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[200]) ).
thf(399,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( leq @ U @ V )
| ~ ( leq @ V @ U )
| ! [Y: $i,Z: $i] :
( ( ( app @ ( app @ W @ ( cons @ U @ X ) ) @ ( cons @ V @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ X )
| ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ~ ( cyclefreeP @ Z )
| ~ ( ssList @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[201]) ).
thf(400,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( totalorderP @ Z )
| ~ ( ssList @ Z )
| ( leq @ V @ X )
| ( leq @ X @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[202]) ).
thf(401,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( strictorderP @ Z )
| ~ ( ssList @ Z )
| ( lt @ V @ X )
| ( lt @ X @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[203]) ).
thf(402,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( totalorderedP @ Z )
| ~ ( ssList @ Z )
| ( leq @ V @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[204]) ).
thf(403,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( strictorderedP @ Z )
| ~ ( ssList @ Z )
| ( lt @ V @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[205]) ).
thf(404,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( ( app @ U @ ( cons @ V @ ( cons @ W @ X ) ) )
!= Y )
| ~ ( ssList @ X )
| ~ ( ssList @ U )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( equalelemsP @ Y )
| ~ ( ssList @ Y )
| ( V = W ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[206]) ).
thf(405,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) )
!= Y )
| ~ ( ssList @ X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ~ ( duplicatefreeP @ Y )
| ~ ( ssList @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[207]) ).
thf(406,plain,
( ( ! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ! [W: $i,X: $i] :
( ( W != X )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ W )
| ( frontsegP @ ( cons @ W @ U ) @ ( cons @ X @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[208]) ).
thf(407,plain,
( ( ! [U: $i,V: $i] :
( ( ( tl @ U )
!= ( tl @ V ) )
| ( ( hd @ U )
!= ( hd @ V ) )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( nil = V )
| ( U = V )
| ( nil = U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[209]) ).
thf(408,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( app @ U @ ( cons @ V @ W ) )
!= X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ~ ( ssList @ X )
| ( memberP @ X @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[211]) ).
thf(409,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( app @ ( app @ U @ V ) @ W )
!= X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ X )
| ( segmentP @ X @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[213]) ).
thf(410,plain,
( ( ! [U: $i,V: $i] :
( ~ ( segmentP @ U @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( segmentP @ ( app @ ( app @ X @ U ) @ W ) @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[214]) ).
thf(411,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( cons @ U @ V )
!= ( cons @ W @ X ) )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ( X = V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[215]) ).
thf(412,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( cons @ U @ V )
!= ( cons @ W @ X ) )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ( U = W ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[216]) ).
thf(413,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf51 @ U ) @ ( cons @ ( skaf49 @ U ) @ ( skaf52 @ U ) ) ) @ ( cons @ ( skaf50 @ U ) @ ( skaf53 @ U ) ) )
= U )
| ( cyclefreeP @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[219]) ).
thf(414,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf56 @ U ) @ ( cons @ ( skaf54 @ U ) @ ( skaf57 @ U ) ) ) @ ( cons @ ( skaf55 @ U ) @ ( skaf58 @ U ) ) )
= U )
| ( totalorderP @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[220]) ).
thf(415,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf61 @ U ) @ ( cons @ ( skaf59 @ U ) @ ( skaf62 @ U ) ) ) @ ( cons @ ( skaf60 @ U ) @ ( skaf63 @ U ) ) )
= U )
| ( strictorderP @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[221]) ).
thf(416,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf66 @ U ) @ ( cons @ ( skaf64 @ U ) @ ( skaf67 @ U ) ) ) @ ( cons @ ( skaf65 @ U ) @ ( skaf68 @ U ) ) )
= U )
| ( totalorderedP @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[222]) ).
thf(417,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf71 @ U ) @ ( cons @ ( skaf69 @ U ) @ ( skaf72 @ U ) ) ) @ ( cons @ ( skaf70 @ U ) @ ( skaf73 @ U ) ) )
= U )
| ( strictorderedP @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[223]) ).
thf(418,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf75 @ U ) @ ( cons @ ( skaf74 @ U ) @ ( skaf76 @ U ) ) ) @ ( cons @ ( skaf74 @ U ) @ ( skaf77 @ U ) ) )
= U )
| ( duplicatefreeP @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[224]) ).
thf(419,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ ( cons @ U @ V ) @ W )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ~ ( ssItem @ W )
| ( W = U )
| ( memberP @ V @ W ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[225]) ).
thf(420,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ ( hd @ V ) )
| ~ ( strictorderedP @ V )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( strictorderedP @ ( cons @ U @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[226]) ).
thf(421,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ ( hd @ V ) )
| ~ ( totalorderedP @ V )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( totalorderedP @ ( cons @ U @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[227]) ).
thf(422,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ( cons @ U @ ( app @ V @ W ) )
= ( app @ ( cons @ U @ V ) @ W ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[229]) ).
thf(423,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ! [W: $i] :
( ~ ( leq @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( leq @ U @ W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[230]) ).
thf(424,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ! [W: $i] :
( ~ ( lt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[231]) ).
thf(425,plain,
( ( ! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ! [W: $i] :
( ~ ( frontsegP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( frontsegP @ U @ W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[232]) ).
thf(426,plain,
( ( ! [U: $i,V: $i] :
( ~ ( rearsegP @ U @ V )
| ! [W: $i] :
( ~ ( rearsegP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( rearsegP @ U @ W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[233]) ).
thf(427,plain,
( ( ! [U: $i,V: $i] :
( ~ ( segmentP @ U @ V )
| ! [W: $i] :
( ~ ( segmentP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( segmentP @ U @ W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[234]) ).
thf(428,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= ( app @ W @ V ) )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( U = W ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[235]) ).
thf(429,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= ( app @ U @ W ) )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssList @ W )
| ( V = W ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[236]) ).
thf(430,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ( app @ ( app @ W @ V ) @ U )
= ( app @ W @ ( app @ V @ U ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[237]) ).
thf(431,plain,
( ( ! [U: $i,V: $i] :
( ~ ( geq @ U @ V )
| ! [W: $i] :
( ~ ( geq @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( geq @ U @ W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[238]) ).
thf(432,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ! [W: $i] :
( ~ ( lt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[239]) ).
thf(433,plain,
( ( ! [U: $i,V: $i] :
( ~ ( gt @ U @ V )
| ! [W: $i] :
( ~ ( gt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( gt @ U @ W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[240]) ).
thf(434,plain,
( ( ! [U: $i] :
( ( nil != U )
| ! [V: $i] :
( ( nil != V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ U @ V )
= nil ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[241]) ).
thf(435,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssList @ W )
| ( frontsegP @ W @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[242]) ).
thf(436,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= W )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( rearsegP @ W @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[243]) ).
thf(437,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( skaf80 @ U ) @ ( cons @ ( skaf78 @ U ) @ ( cons @ ( skaf79 @ U ) @ ( skaf81 @ U ) ) ) )
= U )
| ( equalelemsP @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[244]) ).
thf(438,plain,
( ( ! [U: $i,V: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssList @ U )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ( memberP @ ( app @ W @ U ) @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[245]) ).
thf(439,plain,
( ( ! [U: $i,V: $i] :
( ~ ( memberP @ U @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ( memberP @ ( app @ U @ W ) @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[246]) ).
thf(440,plain,
( ( ! [U: $i,V: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssList @ U )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ( memberP @ ( cons @ W @ U ) @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[247]) ).
thf(441,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( memberP @ ( cons @ V @ W ) @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[248]) ).
thf(442,plain,
( ( ! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( frontsegP @ ( app @ U @ W ) @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[249]) ).
thf(443,plain,
( ( ! [U: $i,V: $i] :
( ~ ( rearsegP @ U @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( rearsegP @ ( app @ W @ U ) @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[250]) ).
thf(444,plain,
( ( ! [U: $i,V: $i] :
( ~ ( totalorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( leq @ U @ ( hd @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[251]) ).
thf(445,plain,
( ( ! [U: $i,V: $i] :
( ~ ( strictorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( lt @ U @ ( hd @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[252]) ).
thf(446,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = V )
| ( ( tl @ ( app @ V @ U ) )
= ( app @ ( tl @ V ) @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[253]) ).
thf(447,plain,
( ( ! [U: $i,V: $i] :
( ~ ( totalorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( totalorderedP @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[261]) ).
thf(448,plain,
( ( ! [U: $i,V: $i] :
( ~ ( strictorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( strictorderedP @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[262]) ).
thf(449,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = V )
| ( ( hd @ ( app @ V @ U ) )
= ( hd @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[263]) ).
thf(450,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( U = V )
| ( lt @ U @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[264]) ).
thf(451,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( U = V )
| ( lt @ U @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[265]) ).
thf(452,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ( app @ ( cons @ U @ nil ) @ V )
= ( cons @ U @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[266]) ).
thf(453,plain,
( ( ! [U: $i,V: $i] :
( ( ( app @ U @ V )
!= nil )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( nil = V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[267]) ).
thf(454,plain,
( ( ! [U: $i,V: $i] :
( ( ( app @ U @ V )
!= nil )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( nil = U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[268]) ).
thf(455,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ~ ( neq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[269]) ).
thf(456,plain,
( ( ! [U: $i,V: $i] :
( ( ( cons @ U @ nil )
!= V )
| ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( singletonP @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[270]) ).
thf(457,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ~ ( neq @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[271]) ).
thf(458,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( totalorderedP @ ( cons @ V @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[273]) ).
thf(459,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( strictorderedP @ ( cons @ V @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[274]) ).
thf(460,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ~ ( lt @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[275]) ).
thf(461,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( V = U )
| ( neq @ V @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[284]) ).
thf(462,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( V = U )
| ( neq @ V @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[286]) ).
thf(463,plain,
( ( ! [U: $i,V: $i] :
( ( ( cons @ U @ V )
!= V )
| ~ ( ssItem @ U )
| ~ ( ssList @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[287]) ).
thf(464,plain,
( ( ! [U: $i,V: $i] :
( ( ( cons @ U @ V )
!= nil )
| ~ ( ssItem @ U )
| ~ ( ssList @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[288]) ).
thf(465,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ( hd @ ( cons @ U @ V ) )
= U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[289]) ).
thf(466,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ( tl @ ( cons @ U @ V ) )
= V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[290]) ).
thf(467,plain,
( ( ! [U: $i] :
( ( ( skaf79 @ U )
!= ( skaf78 @ U ) )
| ~ ( ssList @ U )
| ( equalelemsP @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[297]) ).
thf(468,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ssList @ ( cons @ U @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[300]) ).
thf(469,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ssList @ ( app @ V @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[301]) ).
thf(470,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( frontsegP @ nil @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[303]) ).
thf(471,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( rearsegP @ nil @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[305]) ).
thf(472,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( segmentP @ nil @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[307]) ).
thf(473,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssItem @ ( hd @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[308]) ).
thf(474,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssList @ ( tl @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[309]) ).
thf(475,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssItem @ ( hd @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[310]) ).
thf(476,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssList @ ( tl @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[311]) ).
thf(477,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( duplicatefreeP @ U )
| ! [V: $i] : ( ssItem @ V ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[314]) ).
thf(478,plain,
( ( skac3 != skac2 )
= $true ),
inference(extcnf_combined,[status(esa)],[332]) ).
thf(479,plain,
( ( ( nil != sk1 )
| ! [A: $i] :
( ~ ( ssItem @ A )
| ! [B: $i] :
( ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[386]) ).
thf(480,plain,
( ( ( nil != sk1 )
| ( neq @ sk2 @ nil ) )
= $true ),
inference(extcnf_combined,[status(esa)],[387]) ).
thf(481,plain,
( ( ( nil = sk2 )
| ! [A: $i] :
( ~ ( ssItem @ A )
| ! [B: $i] :
( ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[388]) ).
thf(482,plain,
( ( ( nil != sk4 )
| ( nil = sk3 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[390]) ).
thf(483,plain,
( ( ! [A: $i] :
( ~ ( ssItem @ A )
| ! [B: $i] :
( ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk4 )
| ( ( app @ B @ ( cons @ A @ nil ) )
= sk3 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[391]) ).
thf(484,plain,
( ( ssList @ sk1 )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(485,plain,
( ( ssList @ sk2 )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(486,plain,
( ( ssList @ sk3 )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(487,plain,
( ( ssList @ sk4 )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(488,plain,
( ( sk2 = sk4 )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(489,plain,
( ( sk1 = sk3 )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(490,plain,
( ( ! [A: $i] :
( ~ ( ssItem @ A )
| ! [B: $i] :
( ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk4 )
| ( ( app @ B @ ( cons @ A @ nil ) )
= sk3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(491,plain,
( ( ( nil != sk4 )
| ( nil = sk3 ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(492,plain,
( ( ( nil = sk2 )
| ( neq @ sk2 @ nil ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(493,plain,
( ( ( nil = sk2 )
| ! [A: $i] :
( ~ ( ssItem @ A )
| ! [B: $i] :
( ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(494,plain,
( ( ( nil != sk1 )
| ( neq @ sk2 @ nil ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(495,plain,
( ( ( nil != sk1 )
| ! [A: $i] :
( ~ ( ssItem @ A )
| ! [B: $i] :
( ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(496,plain,
( ( equalelemsP @ nil )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(497,plain,
( ( duplicatefreeP @ nil )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(498,plain,
( ( strictorderedP @ nil )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(499,plain,
( ( totalorderedP @ nil )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(500,plain,
( ( strictorderP @ nil )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(501,plain,
( ( totalorderP @ nil )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(502,plain,
( ( cyclefreeP @ nil )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(503,plain,
( ( ssList @ nil )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(504,plain,
( ( ssItem @ skac3 )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(505,plain,
( ( ssItem @ skac2 )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(506,plain,
( ( ~ ( singletonP @ nil ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(507,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf83 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(508,plain,
( ( ! [U: $i] : ( ssList @ ( skaf82 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(509,plain,
( ( ! [U: $i] : ( ssList @ ( skaf81 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(510,plain,
( ( ! [U: $i] : ( ssList @ ( skaf80 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(511,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf79 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(512,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf78 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(513,plain,
( ( ! [U: $i] : ( ssList @ ( skaf77 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(514,plain,
( ( ! [U: $i] : ( ssList @ ( skaf76 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(515,plain,
( ( ! [U: $i] : ( ssList @ ( skaf75 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(516,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf74 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(517,plain,
( ( ! [U: $i] : ( ssList @ ( skaf73 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(518,plain,
( ( ! [U: $i] : ( ssList @ ( skaf72 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(519,plain,
( ( ! [U: $i] : ( ssList @ ( skaf71 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(520,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf70 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(521,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf69 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(522,plain,
( ( ! [U: $i] : ( ssList @ ( skaf68 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(523,plain,
( ( ! [U: $i] : ( ssList @ ( skaf67 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(524,plain,
( ( ! [U: $i] : ( ssList @ ( skaf66 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(525,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf65 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(526,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf64 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(527,plain,
( ( ! [U: $i] : ( ssList @ ( skaf63 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(528,plain,
( ( ! [U: $i] : ( ssList @ ( skaf62 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(529,plain,
( ( ! [U: $i] : ( ssList @ ( skaf61 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(530,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf60 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(531,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf59 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(532,plain,
( ( ! [U: $i] : ( ssList @ ( skaf58 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(533,plain,
( ( ! [U: $i] : ( ssList @ ( skaf57 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(534,plain,
( ( ! [U: $i] : ( ssList @ ( skaf56 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(535,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf55 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(536,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf54 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[345]) ).
thf(537,plain,
( ( ! [U: $i] : ( ssList @ ( skaf53 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[344]) ).
thf(538,plain,
( ( ! [U: $i] : ( ssList @ ( skaf52 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[343]) ).
thf(539,plain,
( ( ! [U: $i] : ( ssList @ ( skaf51 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[342]) ).
thf(540,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf50 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(541,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf49 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[340]) ).
thf(542,plain,
( ( ! [U: $i] : ( ssItem @ ( skaf44 @ U ) ) )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(543,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf48 @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(544,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf47 @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(545,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf46 @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(546,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf45 @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(547,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf43 @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(548,plain,
( ( ! [U: $i,V: $i] : ( ssList @ ( skaf42 @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(549,plain,
( ( skac3 != skac2 )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(550,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( geq @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(551,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( segmentP @ U @ nil ) ) )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(552,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( segmentP @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(553,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( rearsegP @ U @ nil ) ) )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(554,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( rearsegP @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(555,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( frontsegP @ U @ nil ) ) )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(556,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( frontsegP @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[325]) ).
thf(557,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( leq @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(558,plain,
( ( ! [U: $i] :
( ~ ( lt @ U @ U )
| ~ ( ssItem @ U ) ) )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(559,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( equalelemsP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(560,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( duplicatefreeP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(561,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( strictorderedP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(562,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( totalorderedP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(563,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( strictorderP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[318]) ).
thf(564,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( totalorderP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(565,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( cyclefreeP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(566,plain,
( ( ! [U: $i] :
( ~ ( memberP @ nil @ U )
| ~ ( ssItem @ U ) ) )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(567,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( duplicatefreeP @ U )
| ! [V: $i] : ( ssItem @ V ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(568,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ U @ nil )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(569,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ nil @ U )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(570,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssList @ ( tl @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(571,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssItem @ ( hd @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(572,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssList @ ( tl @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(573,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssItem @ ( hd @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(574,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( segmentP @ nil @ U ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(575,plain,
( ( ! [U: $i] :
( ~ ( segmentP @ nil @ U )
| ~ ( ssList @ U )
| ( nil = U ) ) )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(576,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( rearsegP @ nil @ U ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(577,plain,
( ( ! [U: $i] :
( ~ ( rearsegP @ nil @ U )
| ~ ( ssList @ U )
| ( nil = U ) ) )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(578,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ( frontsegP @ nil @ U ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(579,plain,
( ( ! [U: $i] :
( ~ ( frontsegP @ nil @ U )
| ~ ( ssList @ U )
| ( nil = U ) ) )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(580,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ssList @ ( app @ V @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(581,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ssList @ ( cons @ U @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(582,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( cyclefreeP @ U )
| ( leq @ ( skaf50 @ U ) @ ( skaf49 @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(583,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( cyclefreeP @ U )
| ( leq @ ( skaf49 @ U ) @ ( skaf50 @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(584,plain,
( ( ! [U: $i] :
( ( ( skaf79 @ U )
!= ( skaf78 @ U ) )
| ~ ( ssList @ U )
| ( equalelemsP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(585,plain,
( ( ! [U: $i] :
( ~ ( lt @ ( skaf69 @ U ) @ ( skaf70 @ U ) )
| ~ ( ssList @ U )
| ( strictorderedP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[296]) ).
thf(586,plain,
( ( ! [U: $i] :
( ~ ( leq @ ( skaf64 @ U ) @ ( skaf65 @ U ) )
| ~ ( ssList @ U )
| ( totalorderedP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(587,plain,
( ( ! [U: $i] :
( ~ ( lt @ ( skaf60 @ U ) @ ( skaf59 @ U ) )
| ~ ( ssList @ U )
| ( strictorderP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[294]) ).
thf(588,plain,
( ( ! [U: $i] :
( ~ ( lt @ ( skaf59 @ U ) @ ( skaf60 @ U ) )
| ~ ( ssList @ U )
| ( strictorderP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[293]) ).
thf(589,plain,
( ( ! [U: $i] :
( ~ ( leq @ ( skaf55 @ U ) @ ( skaf54 @ U ) )
| ~ ( ssList @ U )
| ( totalorderP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[292]) ).
thf(590,plain,
( ( ! [U: $i] :
( ~ ( leq @ ( skaf54 @ U ) @ ( skaf55 @ U ) )
| ~ ( ssList @ U )
| ( totalorderP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(591,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ( tl @ ( cons @ U @ V ) )
= V ) ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(592,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ( hd @ ( cons @ U @ V ) )
= U ) ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(593,plain,
( ( ! [U: $i,V: $i] :
( ( ( cons @ U @ V )
!= nil )
| ~ ( ssItem @ U )
| ~ ( ssList @ V ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(594,plain,
( ( ! [U: $i,V: $i] :
( ( ( cons @ U @ V )
!= V )
| ~ ( ssItem @ U )
| ~ ( ssList @ V ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(595,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( V = U )
| ( neq @ V @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(596,plain,
( ( ! [U: $i] :
( ~ ( singletonP @ U )
| ~ ( ssList @ U )
| ( ( cons @ ( skaf44 @ U ) @ nil )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(597,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( V = U )
| ( neq @ V @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(598,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( leq @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(599,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U )
| ( nil = U ) ) )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(600,plain,
( ( ! [U: $i,V: $i] :
( ~ ( gt @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ V @ U ) ) )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(601,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( gt @ V @ U ) ) )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(602,plain,
( ( ! [U: $i,V: $i] :
( ~ ( geq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( leq @ V @ U ) ) )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(603,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( geq @ V @ U ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(604,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) )
= U )
| ( nil = U ) ) )
= $true ),
inference(copy,[status(thm)],[277]) ).
thf(605,plain,
( ( ! [U: $i,V: $i] :
( ~ ( gt @ U @ V )
| ~ ( gt @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V ) ) )
= $true ),
inference(copy,[status(thm)],[276]) ).
thf(606,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ~ ( lt @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(607,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( strictorderedP @ ( cons @ V @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(608,plain,
( ( ! [U: $i] :
( ( nil != U )
| ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( totalorderedP @ ( cons @ V @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(609,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ~ ( lt @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V ) ) )
= $true ),
inference(copy,[status(thm)],[272]) ).
thf(610,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ~ ( neq @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(611,plain,
( ( ! [U: $i,V: $i] :
( ( ( cons @ U @ nil )
!= V )
| ~ ( ssItem @ U )
| ~ ( ssList @ V )
| ( singletonP @ V ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(612,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ~ ( neq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(613,plain,
( ( ! [U: $i,V: $i] :
( ( ( app @ U @ V )
!= nil )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( nil = U ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(614,plain,
( ( ! [U: $i,V: $i] :
( ( ( app @ U @ V )
!= nil )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( nil = V ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(615,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ( app @ ( cons @ U @ nil ) @ V )
= ( cons @ U @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(616,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( U = V )
| ( lt @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(617,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( U = V )
| ( lt @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(618,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = V )
| ( ( hd @ ( app @ V @ U ) )
= ( hd @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(619,plain,
( ( ! [U: $i,V: $i] :
( ~ ( strictorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( strictorderedP @ V ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(620,plain,
( ( ! [U: $i,V: $i] :
( ~ ( totalorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( totalorderedP @ V ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(621,plain,
( ( ! [U: $i,V: $i] :
( ~ ( geq @ U @ V )
| ~ ( geq @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( V = U ) ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(622,plain,
( ( ! [U: $i,V: $i] :
( ~ ( segmentP @ U @ V )
| ~ ( segmentP @ V @ U )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( V = U ) ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(623,plain,
( ( ! [U: $i,V: $i] :
( ~ ( rearsegP @ U @ V )
| ~ ( rearsegP @ V @ U )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( V = U ) ) )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(624,plain,
( ( ! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ~ ( frontsegP @ V @ U )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( V = U ) ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(625,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ~ ( leq @ V @ U )
| ~ ( ssItem @ U )
| ~ ( ssItem @ V )
| ( V = U ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(626,plain,
( ( ! [U: $i,V: $i] :
( ~ ( rearsegP @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ ( skaf46 @ U @ V ) @ V )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(627,plain,
( ( ! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ V @ ( skaf45 @ U @ V ) )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(628,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = V )
| ( ( tl @ ( app @ V @ U ) )
= ( app @ ( tl @ V ) @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(629,plain,
( ( ! [U: $i,V: $i] :
( ~ ( strictorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( lt @ U @ ( hd @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(630,plain,
( ( ! [U: $i,V: $i] :
( ~ ( totalorderedP @ ( cons @ U @ V ) )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( leq @ U @ ( hd @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(631,plain,
( ( ! [U: $i,V: $i] :
( ~ ( rearsegP @ U @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( rearsegP @ ( app @ W @ U ) @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(632,plain,
( ( ! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( frontsegP @ ( app @ U @ W ) @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(633,plain,
( ( ! [U: $i,V: $i] :
( ( U != V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( memberP @ ( cons @ V @ W ) @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(634,plain,
( ( ! [U: $i,V: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssList @ U )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ( memberP @ ( cons @ W @ U ) @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(635,plain,
( ( ! [U: $i,V: $i] :
( ~ ( memberP @ U @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ( memberP @ ( app @ U @ W ) @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(636,plain,
( ( ! [U: $i,V: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssList @ U )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ( memberP @ ( app @ W @ U ) @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(637,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( skaf80 @ U ) @ ( cons @ ( skaf78 @ U ) @ ( cons @ ( skaf79 @ U ) @ ( skaf81 @ U ) ) ) )
= U )
| ( equalelemsP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(638,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= W )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( rearsegP @ W @ V ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(639,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssList @ W )
| ( frontsegP @ W @ U ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(640,plain,
( ( ! [U: $i] :
( ( nil != U )
| ! [V: $i] :
( ( nil != V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ U @ V )
= nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(641,plain,
( ( ! [U: $i,V: $i] :
( ~ ( gt @ U @ V )
| ! [W: $i] :
( ~ ( gt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( gt @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(642,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ! [W: $i] :
( ~ ( lt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(643,plain,
( ( ! [U: $i,V: $i] :
( ~ ( geq @ U @ V )
| ! [W: $i] :
( ~ ( geq @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( geq @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(644,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ( app @ ( app @ W @ V ) @ U )
= ( app @ W @ ( app @ V @ U ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(645,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= ( app @ U @ W ) )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssList @ W )
| ( V = W ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(646,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ( ( app @ U @ V )
!= ( app @ W @ V ) )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ W )
| ( U = W ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(647,plain,
( ( ! [U: $i,V: $i] :
( ~ ( segmentP @ U @ V )
| ! [W: $i] :
( ~ ( segmentP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( segmentP @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(648,plain,
( ( ! [U: $i,V: $i] :
( ~ ( rearsegP @ U @ V )
| ! [W: $i] :
( ~ ( rearsegP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( rearsegP @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(649,plain,
( ( ! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ! [W: $i] :
( ~ ( frontsegP @ V @ W )
| ~ ( ssList @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( frontsegP @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(650,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ V )
| ! [W: $i] :
( ~ ( lt @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( lt @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(651,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ V )
| ! [W: $i] :
( ~ ( leq @ V @ W )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ( leq @ U @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(652,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ( cons @ U @ ( app @ V @ W ) )
= ( app @ ( cons @ U @ V ) @ W ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(653,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ ( app @ U @ V ) @ W )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssItem @ W )
| ( memberP @ V @ W )
| ( memberP @ U @ W ) ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(654,plain,
( ( ! [U: $i,V: $i] :
( ~ ( leq @ U @ ( hd @ V ) )
| ~ ( totalorderedP @ V )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( totalorderedP @ ( cons @ U @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(655,plain,
( ( ! [U: $i,V: $i] :
( ~ ( lt @ U @ ( hd @ V ) )
| ~ ( strictorderedP @ V )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ( nil = V )
| ( strictorderedP @ ( cons @ U @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(656,plain,
( ( ! [U: $i,V: $i,W: $i] :
( ~ ( memberP @ ( cons @ U @ V ) @ W )
| ~ ( ssList @ V )
| ~ ( ssItem @ U )
| ~ ( ssItem @ W )
| ( W = U )
| ( memberP @ V @ W ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(657,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf75 @ U ) @ ( cons @ ( skaf74 @ U ) @ ( skaf76 @ U ) ) ) @ ( cons @ ( skaf74 @ U ) @ ( skaf77 @ U ) ) )
= U )
| ( duplicatefreeP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(658,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf71 @ U ) @ ( cons @ ( skaf69 @ U ) @ ( skaf72 @ U ) ) ) @ ( cons @ ( skaf70 @ U ) @ ( skaf73 @ U ) ) )
= U )
| ( strictorderedP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(659,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf66 @ U ) @ ( cons @ ( skaf64 @ U ) @ ( skaf67 @ U ) ) ) @ ( cons @ ( skaf65 @ U ) @ ( skaf68 @ U ) ) )
= U )
| ( totalorderedP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(660,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf61 @ U ) @ ( cons @ ( skaf59 @ U ) @ ( skaf62 @ U ) ) ) @ ( cons @ ( skaf60 @ U ) @ ( skaf63 @ U ) ) )
= U )
| ( strictorderP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(661,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf56 @ U ) @ ( cons @ ( skaf54 @ U ) @ ( skaf57 @ U ) ) ) @ ( cons @ ( skaf55 @ U ) @ ( skaf58 @ U ) ) )
= U )
| ( totalorderP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(662,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf51 @ U ) @ ( cons @ ( skaf49 @ U ) @ ( skaf52 @ U ) ) ) @ ( cons @ ( skaf50 @ U ) @ ( skaf53 @ U ) ) )
= U )
| ( cyclefreeP @ U ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(663,plain,
( ( ! [U: $i,V: $i] :
( ~ ( segmentP @ U @ V )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( ( app @ ( app @ ( skaf47 @ U @ V ) @ V ) @ ( skaf48 @ V @ U ) )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(664,plain,
( ( ! [U: $i,V: $i] :
( ~ ( memberP @ U @ V )
| ~ ( ssItem @ V )
| ~ ( ssList @ U )
| ( ( app @ ( skaf42 @ U @ V ) @ ( cons @ V @ ( skaf43 @ V @ U ) ) )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(665,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( cons @ U @ V )
!= ( cons @ W @ X ) )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ( U = W ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(666,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( cons @ U @ V )
!= ( cons @ W @ X ) )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ( X = V ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(667,plain,
( ( ! [U: $i,V: $i] :
( ~ ( segmentP @ U @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ( segmentP @ ( app @ ( app @ X @ U ) @ W ) @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(668,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( app @ ( app @ U @ V ) @ W )
!= X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ~ ( ssList @ X )
| ( segmentP @ X @ V ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(669,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( frontsegP @ ( cons @ U @ V ) @ ( cons @ W @ X ) )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ( frontsegP @ V @ X ) ) )
= $true ),
inference(copy,[status(thm)],[212]) ).
thf(670,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ( ( app @ U @ ( cons @ V @ W ) )
!= X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ~ ( ssList @ X )
| ( memberP @ X @ V ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(671,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( frontsegP @ ( cons @ U @ V ) @ ( cons @ W @ X ) )
| ~ ( ssList @ X )
| ~ ( ssList @ V )
| ~ ( ssItem @ W )
| ~ ( ssItem @ U )
| ( U = W ) ) )
= $true ),
inference(copy,[status(thm)],[210]) ).
thf(672,plain,
( ( ! [U: $i,V: $i] :
( ( ( tl @ U )
!= ( tl @ V ) )
| ( ( hd @ U )
!= ( hd @ V ) )
| ~ ( ssList @ U )
| ~ ( ssList @ V )
| ( nil = V )
| ( U = V )
| ( nil = U ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(673,plain,
( ( ! [U: $i,V: $i] :
( ~ ( frontsegP @ U @ V )
| ! [W: $i,X: $i] :
( ( W != X )
| ~ ( ssList @ V )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ W )
| ( frontsegP @ ( cons @ W @ U ) @ ( cons @ X @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(674,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) )
!= Y )
| ~ ( ssList @ X )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ V )
| ~ ( duplicatefreeP @ Y )
| ~ ( ssList @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(675,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( ( app @ U @ ( cons @ V @ ( cons @ W @ X ) ) )
!= Y )
| ~ ( ssList @ X )
| ~ ( ssList @ U )
| ~ ( ssItem @ W )
| ~ ( ssItem @ V )
| ~ ( equalelemsP @ Y )
| ~ ( ssList @ Y )
| ( V = W ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(676,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( strictorderedP @ Z )
| ~ ( ssList @ Z )
| ( lt @ V @ X ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(677,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( totalorderedP @ Z )
| ~ ( ssList @ Z )
| ( leq @ V @ X ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(678,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( strictorderP @ Z )
| ~ ( ssList @ Z )
| ( lt @ V @ X )
| ( lt @ X @ V ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(679,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ W )
| ~ ( ssList @ U )
| ~ ( ssItem @ X )
| ~ ( ssItem @ V )
| ~ ( totalorderP @ Z )
| ~ ( ssList @ Z )
| ( leq @ V @ X )
| ( leq @ X @ V ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(680,plain,
( ( ! [U: $i,V: $i,W: $i,X: $i] :
( ~ ( leq @ U @ V )
| ~ ( leq @ V @ U )
| ! [Y: $i,Z: $i] :
( ( ( app @ ( app @ W @ ( cons @ U @ X ) ) @ ( cons @ V @ Y ) )
!= Z )
| ~ ( ssList @ Y )
| ~ ( ssList @ X )
| ~ ( ssList @ W )
| ~ ( ssItem @ V )
| ~ ( ssItem @ U )
| ~ ( cyclefreeP @ Z )
| ~ ( ssList @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(681,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[398]) ).
thf(682,plain,
! [SV1: $i] :
( ( ~ ( ssItem @ SV1 )
| ! [SY332: $i] :
( ~ ( ssList @ SY332 )
| ( ( app @ ( cons @ SV1 @ nil ) @ SY332 )
!= sk4 )
| ( ( app @ SY332 @ ( cons @ SV1 @ nil ) )
= sk3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(683,plain,
( ( ( nil != sk4 )
= $true )
| ( ( nil = sk3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(684,plain,
( ( ( nil = sk2 )
= $true )
| ( ( neq @ sk2 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(685,plain,
( ( ( nil = sk2 )
= $true )
| ( ( ! [A: $i] :
( ~ ( ssItem @ A )
| ! [B: $i] :
( ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(686,plain,
( ( ( nil != sk1 )
= $true )
| ( ( neq @ sk2 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(687,plain,
( ( ( nil != sk1 )
= $true )
| ( ( ! [A: $i] :
( ~ ( ssItem @ A )
| ! [B: $i] :
( ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(688,plain,
( ( singletonP @ nil )
= $false ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(689,plain,
! [SV2: $i] :
( ( ssItem @ ( skaf83 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(690,plain,
! [SV3: $i] :
( ( ssList @ ( skaf82 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(691,plain,
! [SV4: $i] :
( ( ssList @ ( skaf81 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(692,plain,
! [SV5: $i] :
( ( ssList @ ( skaf80 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(693,plain,
! [SV6: $i] :
( ( ssItem @ ( skaf79 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(694,plain,
! [SV7: $i] :
( ( ssItem @ ( skaf78 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(695,plain,
! [SV8: $i] :
( ( ssList @ ( skaf77 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(696,plain,
! [SV9: $i] :
( ( ssList @ ( skaf76 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(697,plain,
! [SV10: $i] :
( ( ssList @ ( skaf75 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(698,plain,
! [SV11: $i] :
( ( ssItem @ ( skaf74 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(699,plain,
! [SV12: $i] :
( ( ssList @ ( skaf73 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(700,plain,
! [SV13: $i] :
( ( ssList @ ( skaf72 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(701,plain,
! [SV14: $i] :
( ( ssList @ ( skaf71 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(702,plain,
! [SV15: $i] :
( ( ssItem @ ( skaf70 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(703,plain,
! [SV16: $i] :
( ( ssItem @ ( skaf69 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(704,plain,
! [SV17: $i] :
( ( ssList @ ( skaf68 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(705,plain,
! [SV18: $i] :
( ( ssList @ ( skaf67 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(706,plain,
! [SV19: $i] :
( ( ssList @ ( skaf66 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(707,plain,
! [SV20: $i] :
( ( ssItem @ ( skaf65 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(708,plain,
! [SV21: $i] :
( ( ssItem @ ( skaf64 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(709,plain,
! [SV22: $i] :
( ( ssList @ ( skaf63 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(710,plain,
! [SV23: $i] :
( ( ssList @ ( skaf62 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(711,plain,
! [SV24: $i] :
( ( ssList @ ( skaf61 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(712,plain,
! [SV25: $i] :
( ( ssItem @ ( skaf60 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(713,plain,
! [SV26: $i] :
( ( ssItem @ ( skaf59 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(714,plain,
! [SV27: $i] :
( ( ssList @ ( skaf58 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(715,plain,
! [SV28: $i] :
( ( ssList @ ( skaf57 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(716,plain,
! [SV29: $i] :
( ( ssList @ ( skaf56 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(717,plain,
! [SV30: $i] :
( ( ssItem @ ( skaf55 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(718,plain,
! [SV31: $i] :
( ( ssItem @ ( skaf54 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(719,plain,
! [SV32: $i] :
( ( ssList @ ( skaf53 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(720,plain,
! [SV33: $i] :
( ( ssList @ ( skaf52 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(721,plain,
! [SV34: $i] :
( ( ssList @ ( skaf51 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(722,plain,
! [SV35: $i] :
( ( ssItem @ ( skaf50 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(723,plain,
! [SV36: $i] :
( ( ssItem @ ( skaf49 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(724,plain,
! [SV37: $i] :
( ( ssItem @ ( skaf44 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(725,plain,
! [SV38: $i] :
( ( ! [SY333: $i] : ( ssList @ ( skaf48 @ SV38 @ SY333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(726,plain,
! [SV39: $i] :
( ( ! [SY334: $i] : ( ssList @ ( skaf47 @ SV39 @ SY334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(727,plain,
! [SV40: $i] :
( ( ! [SY335: $i] : ( ssList @ ( skaf46 @ SV40 @ SY335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(728,plain,
! [SV41: $i] :
( ( ! [SY336: $i] : ( ssList @ ( skaf45 @ SV41 @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(729,plain,
! [SV42: $i] :
( ( ! [SY337: $i] : ( ssList @ ( skaf43 @ SV42 @ SY337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(730,plain,
! [SV43: $i] :
( ( ! [SY338: $i] : ( ssList @ ( skaf42 @ SV43 @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(731,plain,
( ( skac3 = skac2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(732,plain,
! [SV44: $i] :
( ( ~ ( ssItem @ SV44 )
| ( geq @ SV44 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(733,plain,
! [SV45: $i] :
( ( ~ ( ssList @ SV45 )
| ( segmentP @ SV45 @ nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(734,plain,
! [SV46: $i] :
( ( ~ ( ssList @ SV46 )
| ( segmentP @ SV46 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(735,plain,
! [SV47: $i] :
( ( ~ ( ssList @ SV47 )
| ( rearsegP @ SV47 @ nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(736,plain,
! [SV48: $i] :
( ( ~ ( ssList @ SV48 )
| ( rearsegP @ SV48 @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(737,plain,
! [SV49: $i] :
( ( ~ ( ssList @ SV49 )
| ( frontsegP @ SV49 @ nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(738,plain,
! [SV50: $i] :
( ( ~ ( ssList @ SV50 )
| ( frontsegP @ SV50 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(739,plain,
! [SV51: $i] :
( ( ~ ( ssItem @ SV51 )
| ( leq @ SV51 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(740,plain,
! [SV52: $i] :
( ( ~ ( lt @ SV52 @ SV52 )
| ~ ( ssItem @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(741,plain,
! [SV53: $i] :
( ( ~ ( ssItem @ SV53 )
| ( equalelemsP @ ( cons @ SV53 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(742,plain,
! [SV54: $i] :
( ( ~ ( ssItem @ SV54 )
| ( duplicatefreeP @ ( cons @ SV54 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(743,plain,
! [SV55: $i] :
( ( ~ ( ssItem @ SV55 )
| ( strictorderedP @ ( cons @ SV55 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(744,plain,
! [SV56: $i] :
( ( ~ ( ssItem @ SV56 )
| ( totalorderedP @ ( cons @ SV56 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(745,plain,
! [SV57: $i] :
( ( ~ ( ssItem @ SV57 )
| ( strictorderP @ ( cons @ SV57 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(746,plain,
! [SV58: $i] :
( ( ~ ( ssItem @ SV58 )
| ( totalorderP @ ( cons @ SV58 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(747,plain,
! [SV59: $i] :
( ( ~ ( ssItem @ SV59 )
| ( cyclefreeP @ ( cons @ SV59 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(748,plain,
! [SV60: $i] :
( ( ~ ( memberP @ nil @ SV60 )
| ~ ( ssItem @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(749,plain,
! [SV61: $i] :
( ( ~ ( ssList @ SV61 )
| ( duplicatefreeP @ SV61 )
| ! [V: $i] : ( ssItem @ V ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(750,plain,
! [SV62: $i] :
( ( ~ ( ssList @ SV62 )
| ( ( app @ SV62 @ nil )
= SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(751,plain,
! [SV63: $i] :
( ( ~ ( ssList @ SV63 )
| ( ( app @ nil @ SV63 )
= SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(752,plain,
! [SV64: $i] :
( ( ~ ( ssList @ SV64 )
| ( nil = SV64 )
| ( ssList @ ( tl @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(753,plain,
! [SV65: $i] :
( ( ~ ( ssList @ SV65 )
| ( nil = SV65 )
| ( ssItem @ ( hd @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(754,plain,
! [SV66: $i] :
( ( ~ ( ssList @ SV66 )
| ( nil = SV66 )
| ( ssList @ ( tl @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(755,plain,
! [SV67: $i] :
( ( ~ ( ssList @ SV67 )
| ( nil = SV67 )
| ( ssItem @ ( hd @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(756,plain,
! [SV68: $i] :
( ( ( nil != SV68 )
| ~ ( ssList @ SV68 )
| ( segmentP @ nil @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(757,plain,
! [SV69: $i] :
( ( ~ ( segmentP @ nil @ SV69 )
| ~ ( ssList @ SV69 )
| ( nil = SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(758,plain,
! [SV70: $i] :
( ( ( nil != SV70 )
| ~ ( ssList @ SV70 )
| ( rearsegP @ nil @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(759,plain,
! [SV71: $i] :
( ( ~ ( rearsegP @ nil @ SV71 )
| ~ ( ssList @ SV71 )
| ( nil = SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(760,plain,
! [SV72: $i] :
( ( ( nil != SV72 )
| ~ ( ssList @ SV72 )
| ( frontsegP @ nil @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(761,plain,
! [SV73: $i] :
( ( ~ ( frontsegP @ nil @ SV73 )
| ~ ( ssList @ SV73 )
| ( nil = SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(762,plain,
! [SV74: $i] :
( ( ~ ( ssList @ SV74 )
| ! [SY340: $i] :
( ~ ( ssList @ SY340 )
| ( ssList @ ( app @ SY340 @ SV74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(763,plain,
! [SV75: $i] :
( ( ~ ( ssItem @ SV75 )
| ! [SY341: $i] :
( ~ ( ssList @ SY341 )
| ( ssList @ ( cons @ SV75 @ SY341 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(764,plain,
! [SV76: $i] :
( ( ~ ( ssList @ SV76 )
| ( cyclefreeP @ SV76 )
| ( leq @ ( skaf50 @ SV76 ) @ ( skaf49 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(765,plain,
! [SV77: $i] :
( ( ~ ( ssList @ SV77 )
| ( cyclefreeP @ SV77 )
| ( leq @ ( skaf49 @ SV77 ) @ ( skaf50 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(766,plain,
! [SV78: $i] :
( ( ( ( skaf79 @ SV78 )
!= ( skaf78 @ SV78 ) )
| ~ ( ssList @ SV78 )
| ( equalelemsP @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(767,plain,
! [SV79: $i] :
( ( ~ ( lt @ ( skaf69 @ SV79 ) @ ( skaf70 @ SV79 ) )
| ~ ( ssList @ SV79 )
| ( strictorderedP @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(768,plain,
! [SV80: $i] :
( ( ~ ( leq @ ( skaf64 @ SV80 ) @ ( skaf65 @ SV80 ) )
| ~ ( ssList @ SV80 )
| ( totalorderedP @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(769,plain,
! [SV81: $i] :
( ( ~ ( lt @ ( skaf60 @ SV81 ) @ ( skaf59 @ SV81 ) )
| ~ ( ssList @ SV81 )
| ( strictorderP @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(770,plain,
! [SV82: $i] :
( ( ~ ( lt @ ( skaf59 @ SV82 ) @ ( skaf60 @ SV82 ) )
| ~ ( ssList @ SV82 )
| ( strictorderP @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(771,plain,
! [SV83: $i] :
( ( ~ ( leq @ ( skaf55 @ SV83 ) @ ( skaf54 @ SV83 ) )
| ~ ( ssList @ SV83 )
| ( totalorderP @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(772,plain,
! [SV84: $i] :
( ( ~ ( leq @ ( skaf54 @ SV84 ) @ ( skaf55 @ SV84 ) )
| ~ ( ssList @ SV84 )
| ( totalorderP @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(773,plain,
! [SV85: $i] :
( ( ~ ( ssItem @ SV85 )
| ! [SY342: $i] :
( ~ ( ssList @ SY342 )
| ( ( tl @ ( cons @ SV85 @ SY342 ) )
= SY342 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(774,plain,
! [SV86: $i] :
( ( ~ ( ssItem @ SV86 )
| ! [SY343: $i] :
( ~ ( ssList @ SY343 )
| ( ( hd @ ( cons @ SV86 @ SY343 ) )
= SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(775,plain,
! [SV87: $i] :
( ( ! [SY344: $i] :
( ( ( cons @ SV87 @ SY344 )
!= nil )
| ~ ( ssItem @ SV87 )
| ~ ( ssList @ SY344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(776,plain,
! [SV88: $i] :
( ( ! [SY345: $i] :
( ( ( cons @ SV88 @ SY345 )
!= SY345 )
| ~ ( ssItem @ SV88 )
| ~ ( ssList @ SY345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(777,plain,
! [SV89: $i] :
( ( ~ ( ssList @ SV89 )
| ! [SY346: $i] :
( ~ ( ssList @ SY346 )
| ( SY346 = SV89 )
| ( neq @ SY346 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(778,plain,
! [SV90: $i] :
( ( ~ ( singletonP @ SV90 )
| ~ ( ssList @ SV90 )
| ( ( cons @ ( skaf44 @ SV90 ) @ nil )
= SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(779,plain,
! [SV91: $i] :
( ( ~ ( ssItem @ SV91 )
| ! [SY347: $i] :
( ~ ( ssItem @ SY347 )
| ( SY347 = SV91 )
| ( neq @ SY347 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(780,plain,
! [SV92: $i] :
( ( ! [SY348: $i] :
( ~ ( lt @ SV92 @ SY348 )
| ~ ( ssItem @ SY348 )
| ~ ( ssItem @ SV92 )
| ( leq @ SV92 @ SY348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(781,plain,
! [SV93: $i] :
( ( ~ ( ssList @ SV93 )
| ( ( cons @ ( hd @ SV93 ) @ ( tl @ SV93 ) )
= SV93 )
| ( nil = SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(782,plain,
! [SV94: $i] :
( ( ! [SY349: $i] :
( ~ ( gt @ SV94 @ SY349 )
| ~ ( ssItem @ SY349 )
| ~ ( ssItem @ SV94 )
| ( lt @ SY349 @ SV94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(783,plain,
! [SV95: $i] :
( ( ! [SY350: $i] :
( ~ ( lt @ SV95 @ SY350 )
| ~ ( ssItem @ SV95 )
| ~ ( ssItem @ SY350 )
| ( gt @ SY350 @ SV95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(784,plain,
! [SV96: $i] :
( ( ! [SY351: $i] :
( ~ ( geq @ SV96 @ SY351 )
| ~ ( ssItem @ SY351 )
| ~ ( ssItem @ SV96 )
| ( leq @ SY351 @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(785,plain,
! [SV97: $i] :
( ( ! [SY352: $i] :
( ~ ( leq @ SV97 @ SY352 )
| ~ ( ssItem @ SV97 )
| ~ ( ssItem @ SY352 )
| ( geq @ SY352 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(786,plain,
! [SV98: $i] :
( ( ~ ( ssList @ SV98 )
| ( ( cons @ ( skaf83 @ SV98 ) @ ( skaf82 @ SV98 ) )
= SV98 )
| ( nil = SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(787,plain,
! [SV99: $i] :
( ( ! [SY353: $i] :
( ~ ( gt @ SV99 @ SY353 )
| ~ ( gt @ SY353 @ SV99 )
| ~ ( ssItem @ SV99 )
| ~ ( ssItem @ SY353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(788,plain,
! [SV100: $i] :
( ( ! [SY354: $i] :
( ( SV100 != SY354 )
| ~ ( lt @ SV100 @ SY354 )
| ~ ( ssItem @ SY354 )
| ~ ( ssItem @ SV100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(789,plain,
! [SV101: $i] :
( ( ( nil != SV101 )
| ~ ( ssList @ SV101 )
| ! [SY355: $i] :
( ~ ( ssItem @ SY355 )
| ( strictorderedP @ ( cons @ SY355 @ SV101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(790,plain,
! [SV102: $i] :
( ( ( nil != SV102 )
| ~ ( ssList @ SV102 )
| ! [SY356: $i] :
( ~ ( ssItem @ SY356 )
| ( totalorderedP @ ( cons @ SY356 @ SV102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(791,plain,
! [SV103: $i] :
( ( ! [SY357: $i] :
( ~ ( lt @ SV103 @ SY357 )
| ~ ( lt @ SY357 @ SV103 )
| ~ ( ssItem @ SV103 )
| ~ ( ssItem @ SY357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(792,plain,
! [SV104: $i] :
( ( ! [SY358: $i] :
( ( SV104 != SY358 )
| ~ ( neq @ SV104 @ SY358 )
| ~ ( ssList @ SY358 )
| ~ ( ssList @ SV104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(793,plain,
! [SV105: $i] :
( ( ! [SY359: $i] :
( ( ( cons @ SV105 @ nil )
!= SY359 )
| ~ ( ssItem @ SV105 )
| ~ ( ssList @ SY359 )
| ( singletonP @ SY359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(794,plain,
! [SV106: $i] :
( ( ! [SY360: $i] :
( ( SV106 != SY360 )
| ~ ( neq @ SV106 @ SY360 )
| ~ ( ssItem @ SY360 )
| ~ ( ssItem @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(795,plain,
! [SV107: $i] :
( ( ! [SY361: $i] :
( ( ( app @ SV107 @ SY361 )
!= nil )
| ~ ( ssList @ SY361 )
| ~ ( ssList @ SV107 )
| ( nil = SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(796,plain,
! [SV108: $i] :
( ( ! [SY362: $i] :
( ( ( app @ SV108 @ SY362 )
!= nil )
| ~ ( ssList @ SY362 )
| ~ ( ssList @ SV108 )
| ( nil = SY362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(797,plain,
! [SV109: $i] :
( ( ~ ( ssItem @ SV109 )
| ! [SY363: $i] :
( ~ ( ssList @ SY363 )
| ( ( app @ ( cons @ SV109 @ nil ) @ SY363 )
= ( cons @ SV109 @ SY363 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(798,plain,
! [SV110: $i] :
( ( ! [SY364: $i] :
( ~ ( leq @ SV110 @ SY364 )
| ~ ( ssItem @ SY364 )
| ~ ( ssItem @ SV110 )
| ( SV110 = SY364 )
| ( lt @ SV110 @ SY364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(799,plain,
! [SV111: $i] :
( ( ! [SY365: $i] :
( ~ ( leq @ SV111 @ SY365 )
| ~ ( ssItem @ SY365 )
| ~ ( ssItem @ SV111 )
| ( SV111 = SY365 )
| ( lt @ SV111 @ SY365 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(800,plain,
! [SV112: $i] :
( ( ~ ( ssList @ SV112 )
| ! [SY366: $i] :
( ~ ( ssList @ SY366 )
| ( nil = SY366 )
| ( ( hd @ ( app @ SY366 @ SV112 ) )
= ( hd @ SY366 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(801,plain,
! [SV113: $i] :
( ( ! [SY367: $i] :
( ~ ( strictorderedP @ ( cons @ SV113 @ SY367 ) )
| ~ ( ssList @ SY367 )
| ~ ( ssItem @ SV113 )
| ( nil = SY367 )
| ( strictorderedP @ SY367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(802,plain,
! [SV114: $i] :
( ( ! [SY368: $i] :
( ~ ( totalorderedP @ ( cons @ SV114 @ SY368 ) )
| ~ ( ssList @ SY368 )
| ~ ( ssItem @ SV114 )
| ( nil = SY368 )
| ( totalorderedP @ SY368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(803,plain,
! [SV115: $i] :
( ( ! [SY369: $i] :
( ~ ( geq @ SV115 @ SY369 )
| ~ ( geq @ SY369 @ SV115 )
| ~ ( ssItem @ SV115 )
| ~ ( ssItem @ SY369 )
| ( SY369 = SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(804,plain,
! [SV116: $i] :
( ( ! [SY370: $i] :
( ~ ( segmentP @ SV116 @ SY370 )
| ~ ( segmentP @ SY370 @ SV116 )
| ~ ( ssList @ SV116 )
| ~ ( ssList @ SY370 )
| ( SY370 = SV116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(805,plain,
! [SV117: $i] :
( ( ! [SY371: $i] :
( ~ ( rearsegP @ SV117 @ SY371 )
| ~ ( rearsegP @ SY371 @ SV117 )
| ~ ( ssList @ SV117 )
| ~ ( ssList @ SY371 )
| ( SY371 = SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(806,plain,
! [SV118: $i] :
( ( ! [SY372: $i] :
( ~ ( frontsegP @ SV118 @ SY372 )
| ~ ( frontsegP @ SY372 @ SV118 )
| ~ ( ssList @ SV118 )
| ~ ( ssList @ SY372 )
| ( SY372 = SV118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(807,plain,
! [SV119: $i] :
( ( ! [SY373: $i] :
( ~ ( leq @ SV119 @ SY373 )
| ~ ( leq @ SY373 @ SV119 )
| ~ ( ssItem @ SV119 )
| ~ ( ssItem @ SY373 )
| ( SY373 = SV119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(808,plain,
! [SV120: $i] :
( ( ! [SY374: $i] :
( ~ ( rearsegP @ SV120 @ SY374 )
| ~ ( ssList @ SY374 )
| ~ ( ssList @ SV120 )
| ( ( app @ ( skaf46 @ SV120 @ SY374 ) @ SY374 )
= SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(809,plain,
! [SV121: $i] :
( ( ! [SY375: $i] :
( ~ ( frontsegP @ SV121 @ SY375 )
| ~ ( ssList @ SY375 )
| ~ ( ssList @ SV121 )
| ( ( app @ SY375 @ ( skaf45 @ SV121 @ SY375 ) )
= SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(810,plain,
! [SV122: $i] :
( ( ~ ( ssList @ SV122 )
| ! [SY376: $i] :
( ~ ( ssList @ SY376 )
| ( nil = SY376 )
| ( ( tl @ ( app @ SY376 @ SV122 ) )
= ( app @ ( tl @ SY376 ) @ SV122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(811,plain,
! [SV123: $i] :
( ( ! [SY377: $i] :
( ~ ( strictorderedP @ ( cons @ SV123 @ SY377 ) )
| ~ ( ssList @ SY377 )
| ~ ( ssItem @ SV123 )
| ( nil = SY377 )
| ( lt @ SV123 @ ( hd @ SY377 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(812,plain,
! [SV124: $i] :
( ( ! [SY378: $i] :
( ~ ( totalorderedP @ ( cons @ SV124 @ SY378 ) )
| ~ ( ssList @ SY378 )
| ~ ( ssItem @ SV124 )
| ( nil = SY378 )
| ( leq @ SV124 @ ( hd @ SY378 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(813,plain,
! [SV125: $i] :
( ( ! [SY379: $i] :
( ~ ( rearsegP @ SV125 @ SY379 )
| ! [SY380: $i] :
( ~ ( ssList @ SY380 )
| ~ ( ssList @ SY379 )
| ~ ( ssList @ SV125 )
| ( rearsegP @ ( app @ SY380 @ SV125 ) @ SY379 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(814,plain,
! [SV126: $i] :
( ( ! [SY381: $i] :
( ~ ( frontsegP @ SV126 @ SY381 )
| ! [SY382: $i] :
( ~ ( ssList @ SY382 )
| ~ ( ssList @ SY381 )
| ~ ( ssList @ SV126 )
| ( frontsegP @ ( app @ SV126 @ SY382 ) @ SY381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(815,plain,
! [SV127: $i] :
( ( ! [SY383: $i] :
( ( SV127 != SY383 )
| ! [SY384: $i] :
( ~ ( ssList @ SY384 )
| ~ ( ssItem @ SY383 )
| ~ ( ssItem @ SV127 )
| ( memberP @ ( cons @ SY383 @ SY384 ) @ SV127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(816,plain,
! [SV128: $i] :
( ( ! [SY385: $i] :
( ~ ( memberP @ SV128 @ SY385 )
| ~ ( ssList @ SV128 )
| ! [SY386: $i] :
( ~ ( ssItem @ SY386 )
| ~ ( ssItem @ SY385 )
| ( memberP @ ( cons @ SY386 @ SV128 ) @ SY385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(817,plain,
! [SV129: $i] :
( ( ! [SY387: $i] :
( ~ ( memberP @ SV129 @ SY387 )
| ! [SY388: $i] :
( ~ ( ssList @ SY388 )
| ~ ( ssList @ SV129 )
| ~ ( ssItem @ SY387 )
| ( memberP @ ( app @ SV129 @ SY388 ) @ SY387 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(818,plain,
! [SV130: $i] :
( ( ! [SY389: $i] :
( ~ ( memberP @ SV130 @ SY389 )
| ~ ( ssList @ SV130 )
| ! [SY390: $i] :
( ~ ( ssList @ SY390 )
| ~ ( ssItem @ SY389 )
| ( memberP @ ( app @ SY390 @ SV130 ) @ SY389 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(819,plain,
! [SV131: $i] :
( ( ~ ( ssList @ SV131 )
| ( ( app @ ( skaf80 @ SV131 ) @ ( cons @ ( skaf78 @ SV131 ) @ ( cons @ ( skaf79 @ SV131 ) @ ( skaf81 @ SV131 ) ) ) )
= SV131 )
| ( equalelemsP @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(820,plain,
! [SV132: $i] :
( ( ! [SY391: $i,SY392: $i] :
( ( ( app @ SV132 @ SY391 )
!= SY392 )
| ~ ( ssList @ SV132 )
| ~ ( ssList @ SY391 )
| ~ ( ssList @ SY392 )
| ( rearsegP @ SY392 @ SY391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(821,plain,
! [SV133: $i] :
( ( ! [SY393: $i,SY394: $i] :
( ( ( app @ SV133 @ SY393 )
!= SY394 )
| ~ ( ssList @ SY393 )
| ~ ( ssList @ SV133 )
| ~ ( ssList @ SY394 )
| ( frontsegP @ SY394 @ SV133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(822,plain,
! [SV134: $i] :
( ( ( nil != SV134 )
| ! [SY395: $i] :
( ( nil != SY395 )
| ~ ( ssList @ SY395 )
| ~ ( ssList @ SV134 )
| ( ( app @ SV134 @ SY395 )
= nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(823,plain,
! [SV135: $i] :
( ( ! [SY396: $i] :
( ~ ( gt @ SV135 @ SY396 )
| ! [SY397: $i] :
( ~ ( gt @ SY396 @ SY397 )
| ~ ( ssItem @ SY397 )
| ~ ( ssItem @ SY396 )
| ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SY397 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(824,plain,
! [SV136: $i] :
( ( ! [SY398: $i] :
( ~ ( leq @ SV136 @ SY398 )
| ! [SY399: $i] :
( ~ ( lt @ SY398 @ SY399 )
| ~ ( ssItem @ SY399 )
| ~ ( ssItem @ SY398 )
| ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SY399 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(825,plain,
! [SV137: $i] :
( ( ! [SY400: $i] :
( ~ ( geq @ SV137 @ SY400 )
| ! [SY401: $i] :
( ~ ( geq @ SY400 @ SY401 )
| ~ ( ssItem @ SY401 )
| ~ ( ssItem @ SY400 )
| ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SY401 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(826,plain,
! [SV138: $i] :
( ( ~ ( ssList @ SV138 )
| ! [SY402: $i] :
( ~ ( ssList @ SY402 )
| ! [SY403: $i] :
( ~ ( ssList @ SY403 )
| ( ( app @ ( app @ SY403 @ SY402 ) @ SV138 )
= ( app @ SY403 @ ( app @ SY402 @ SV138 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(827,plain,
! [SV139: $i] :
( ( ! [SY404: $i,SY405: $i] :
( ( ( app @ SV139 @ SY404 )
!= ( app @ SV139 @ SY405 ) )
| ~ ( ssList @ SY404 )
| ~ ( ssList @ SV139 )
| ~ ( ssList @ SY405 )
| ( SY404 = SY405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(828,plain,
! [SV140: $i] :
( ( ! [SY406: $i,SY407: $i] :
( ( ( app @ SV140 @ SY406 )
!= ( app @ SY407 @ SY406 ) )
| ~ ( ssList @ SV140 )
| ~ ( ssList @ SY406 )
| ~ ( ssList @ SY407 )
| ( SV140 = SY407 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(829,plain,
! [SV141: $i] :
( ( ! [SY408: $i] :
( ~ ( segmentP @ SV141 @ SY408 )
| ! [SY409: $i] :
( ~ ( segmentP @ SY408 @ SY409 )
| ~ ( ssList @ SY409 )
| ~ ( ssList @ SY408 )
| ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SY409 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(830,plain,
! [SV142: $i] :
( ( ! [SY410: $i] :
( ~ ( rearsegP @ SV142 @ SY410 )
| ! [SY411: $i] :
( ~ ( rearsegP @ SY410 @ SY411 )
| ~ ( ssList @ SY411 )
| ~ ( ssList @ SY410 )
| ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SY411 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(831,plain,
! [SV143: $i] :
( ( ! [SY412: $i] :
( ~ ( frontsegP @ SV143 @ SY412 )
| ! [SY413: $i] :
( ~ ( frontsegP @ SY412 @ SY413 )
| ~ ( ssList @ SY413 )
| ~ ( ssList @ SY412 )
| ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SY413 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(832,plain,
! [SV144: $i] :
( ( ! [SY414: $i] :
( ~ ( lt @ SV144 @ SY414 )
| ! [SY415: $i] :
( ~ ( lt @ SY414 @ SY415 )
| ~ ( ssItem @ SY415 )
| ~ ( ssItem @ SY414 )
| ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SY415 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(833,plain,
! [SV145: $i] :
( ( ! [SY416: $i] :
( ~ ( leq @ SV145 @ SY416 )
| ! [SY417: $i] :
( ~ ( leq @ SY416 @ SY417 )
| ~ ( ssItem @ SY417 )
| ~ ( ssItem @ SY416 )
| ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SY417 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(834,plain,
! [SV146: $i] :
( ( ~ ( ssItem @ SV146 )
| ! [SY418: $i] :
( ~ ( ssList @ SY418 )
| ! [SY419: $i] :
( ~ ( ssList @ SY419 )
| ( ( cons @ SV146 @ ( app @ SY418 @ SY419 ) )
= ( app @ ( cons @ SV146 @ SY418 ) @ SY419 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(835,plain,
! [SV147: $i] :
( ( ! [SY420: $i,SY421: $i] :
( ~ ( memberP @ ( app @ SV147 @ SY420 ) @ SY421 )
| ~ ( ssList @ SY420 )
| ~ ( ssList @ SV147 )
| ~ ( ssItem @ SY421 )
| ( memberP @ SY420 @ SY421 )
| ( memberP @ SV147 @ SY421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(836,plain,
! [SV148: $i] :
( ( ! [SY422: $i] :
( ~ ( leq @ SV148 @ ( hd @ SY422 ) )
| ~ ( totalorderedP @ SY422 )
| ~ ( ssList @ SY422 )
| ~ ( ssItem @ SV148 )
| ( nil = SY422 )
| ( totalorderedP @ ( cons @ SV148 @ SY422 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(837,plain,
! [SV149: $i] :
( ( ! [SY423: $i] :
( ~ ( lt @ SV149 @ ( hd @ SY423 ) )
| ~ ( strictorderedP @ SY423 )
| ~ ( ssList @ SY423 )
| ~ ( ssItem @ SV149 )
| ( nil = SY423 )
| ( strictorderedP @ ( cons @ SV149 @ SY423 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(838,plain,
! [SV150: $i] :
( ( ! [SY424: $i,SY425: $i] :
( ~ ( memberP @ ( cons @ SV150 @ SY424 ) @ SY425 )
| ~ ( ssList @ SY424 )
| ~ ( ssItem @ SV150 )
| ~ ( ssItem @ SY425 )
| ( SY425 = SV150 )
| ( memberP @ SY424 @ SY425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(839,plain,
! [SV151: $i] :
( ( ~ ( ssList @ SV151 )
| ( ( app @ ( app @ ( skaf75 @ SV151 ) @ ( cons @ ( skaf74 @ SV151 ) @ ( skaf76 @ SV151 ) ) ) @ ( cons @ ( skaf74 @ SV151 ) @ ( skaf77 @ SV151 ) ) )
= SV151 )
| ( duplicatefreeP @ SV151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(840,plain,
! [SV152: $i] :
( ( ~ ( ssList @ SV152 )
| ( ( app @ ( app @ ( skaf71 @ SV152 ) @ ( cons @ ( skaf69 @ SV152 ) @ ( skaf72 @ SV152 ) ) ) @ ( cons @ ( skaf70 @ SV152 ) @ ( skaf73 @ SV152 ) ) )
= SV152 )
| ( strictorderedP @ SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(841,plain,
! [SV153: $i] :
( ( ~ ( ssList @ SV153 )
| ( ( app @ ( app @ ( skaf66 @ SV153 ) @ ( cons @ ( skaf64 @ SV153 ) @ ( skaf67 @ SV153 ) ) ) @ ( cons @ ( skaf65 @ SV153 ) @ ( skaf68 @ SV153 ) ) )
= SV153 )
| ( totalorderedP @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(842,plain,
! [SV154: $i] :
( ( ~ ( ssList @ SV154 )
| ( ( app @ ( app @ ( skaf61 @ SV154 ) @ ( cons @ ( skaf59 @ SV154 ) @ ( skaf62 @ SV154 ) ) ) @ ( cons @ ( skaf60 @ SV154 ) @ ( skaf63 @ SV154 ) ) )
= SV154 )
| ( strictorderP @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(843,plain,
! [SV155: $i] :
( ( ~ ( ssList @ SV155 )
| ( ( app @ ( app @ ( skaf56 @ SV155 ) @ ( cons @ ( skaf54 @ SV155 ) @ ( skaf57 @ SV155 ) ) ) @ ( cons @ ( skaf55 @ SV155 ) @ ( skaf58 @ SV155 ) ) )
= SV155 )
| ( totalorderP @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(844,plain,
! [SV156: $i] :
( ( ~ ( ssList @ SV156 )
| ( ( app @ ( app @ ( skaf51 @ SV156 ) @ ( cons @ ( skaf49 @ SV156 ) @ ( skaf52 @ SV156 ) ) ) @ ( cons @ ( skaf50 @ SV156 ) @ ( skaf53 @ SV156 ) ) )
= SV156 )
| ( cyclefreeP @ SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(845,plain,
! [SV157: $i] :
( ( ! [SY426: $i] :
( ~ ( segmentP @ SV157 @ SY426 )
| ~ ( ssList @ SY426 )
| ~ ( ssList @ SV157 )
| ( ( app @ ( app @ ( skaf47 @ SV157 @ SY426 ) @ SY426 ) @ ( skaf48 @ SY426 @ SV157 ) )
= SV157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(846,plain,
! [SV158: $i] :
( ( ! [SY427: $i] :
( ~ ( memberP @ SV158 @ SY427 )
| ~ ( ssItem @ SY427 )
| ~ ( ssList @ SV158 )
| ( ( app @ ( skaf42 @ SV158 @ SY427 ) @ ( cons @ SY427 @ ( skaf43 @ SY427 @ SV158 ) ) )
= SV158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(847,plain,
! [SV159: $i] :
( ( ! [SY428: $i,SY429: $i,SY430: $i] :
( ( ( cons @ SV159 @ SY428 )
!= ( cons @ SY429 @ SY430 ) )
| ~ ( ssItem @ SY429 )
| ~ ( ssItem @ SV159 )
| ~ ( ssList @ SY430 )
| ~ ( ssList @ SY428 )
| ( SV159 = SY429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(848,plain,
! [SV160: $i] :
( ( ! [SY431: $i,SY432: $i,SY433: $i] :
( ( ( cons @ SV160 @ SY431 )
!= ( cons @ SY432 @ SY433 ) )
| ~ ( ssItem @ SY432 )
| ~ ( ssItem @ SV160 )
| ~ ( ssList @ SY433 )
| ~ ( ssList @ SY431 )
| ( SY433 = SY431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(849,plain,
! [SV161: $i] :
( ( ! [SY434: $i] :
( ~ ( segmentP @ SV161 @ SY434 )
| ! [SY435: $i] :
( ~ ( ssList @ SY435 )
| ! [SY436: $i] :
( ~ ( ssList @ SY436 )
| ~ ( ssList @ SY434 )
| ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SY436 @ SV161 ) @ SY435 ) @ SY434 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(850,plain,
! [SV162: $i] :
( ( ! [SY437: $i,SY438: $i,SY439: $i] :
( ( ( app @ ( app @ SV162 @ SY437 ) @ SY438 )
!= SY439 )
| ~ ( ssList @ SY438 )
| ~ ( ssList @ SV162 )
| ~ ( ssList @ SY437 )
| ~ ( ssList @ SY439 )
| ( segmentP @ SY439 @ SY437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(851,plain,
! [SV163: $i] :
( ( ! [SY440: $i,SY441: $i,SY442: $i] :
( ~ ( frontsegP @ ( cons @ SV163 @ SY440 ) @ ( cons @ SY441 @ SY442 ) )
| ~ ( ssList @ SY442 )
| ~ ( ssList @ SY440 )
| ~ ( ssItem @ SY441 )
| ~ ( ssItem @ SV163 )
| ( frontsegP @ SY440 @ SY442 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(852,plain,
! [SV164: $i] :
( ( ! [SY443: $i,SY444: $i,SY445: $i] :
( ( ( app @ SV164 @ ( cons @ SY443 @ SY444 ) )
!= SY445 )
| ~ ( ssList @ SY444 )
| ~ ( ssList @ SV164 )
| ~ ( ssItem @ SY443 )
| ~ ( ssList @ SY445 )
| ( memberP @ SY445 @ SY443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(853,plain,
! [SV165: $i] :
( ( ! [SY446: $i,SY447: $i,SY448: $i] :
( ~ ( frontsegP @ ( cons @ SV165 @ SY446 ) @ ( cons @ SY447 @ SY448 ) )
| ~ ( ssList @ SY448 )
| ~ ( ssList @ SY446 )
| ~ ( ssItem @ SY447 )
| ~ ( ssItem @ SV165 )
| ( SV165 = SY447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(854,plain,
! [SV166: $i] :
( ( ! [SY449: $i] :
( ( ( tl @ SV166 )
!= ( tl @ SY449 ) )
| ( ( hd @ SV166 )
!= ( hd @ SY449 ) )
| ~ ( ssList @ SV166 )
| ~ ( ssList @ SY449 )
| ( nil = SY449 )
| ( SV166 = SY449 )
| ( nil = SV166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(855,plain,
! [SV167: $i] :
( ( ! [SY450: $i] :
( ~ ( frontsegP @ SV167 @ SY450 )
| ! [SY451: $i,SY452: $i] :
( ( SY451 != SY452 )
| ~ ( ssList @ SY450 )
| ~ ( ssList @ SV167 )
| ~ ( ssItem @ SY452 )
| ~ ( ssItem @ SY451 )
| ( frontsegP @ ( cons @ SY451 @ SV167 ) @ ( cons @ SY452 @ SY450 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(856,plain,
! [SV168: $i] :
( ( ! [SY453: $i,SY454: $i,SY455: $i,SY456: $i] :
( ( ( app @ ( app @ SV168 @ ( cons @ SY453 @ SY454 ) ) @ ( cons @ SY453 @ SY455 ) )
!= SY456 )
| ~ ( ssList @ SY455 )
| ~ ( ssList @ SY454 )
| ~ ( ssList @ SV168 )
| ~ ( ssItem @ SY453 )
| ~ ( duplicatefreeP @ SY456 )
| ~ ( ssList @ SY456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(857,plain,
! [SV169: $i] :
( ( ! [SY457: $i,SY458: $i,SY459: $i,SY460: $i] :
( ( ( app @ SV169 @ ( cons @ SY457 @ ( cons @ SY458 @ SY459 ) ) )
!= SY460 )
| ~ ( ssList @ SY459 )
| ~ ( ssList @ SV169 )
| ~ ( ssItem @ SY458 )
| ~ ( ssItem @ SY457 )
| ~ ( equalelemsP @ SY460 )
| ~ ( ssList @ SY460 )
| ( SY457 = SY458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(858,plain,
! [SV170: $i] :
( ( ! [SY461: $i,SY462: $i,SY463: $i,SY464: $i,SY465: $i] :
( ( ( app @ ( app @ SV170 @ ( cons @ SY461 @ SY462 ) ) @ ( cons @ SY463 @ SY464 ) )
!= SY465 )
| ~ ( ssList @ SY464 )
| ~ ( ssList @ SY462 )
| ~ ( ssList @ SV170 )
| ~ ( ssItem @ SY463 )
| ~ ( ssItem @ SY461 )
| ~ ( strictorderedP @ SY465 )
| ~ ( ssList @ SY465 )
| ( lt @ SY461 @ SY463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(859,plain,
! [SV171: $i] :
( ( ! [SY466: $i,SY467: $i,SY468: $i,SY469: $i,SY470: $i] :
( ( ( app @ ( app @ SV171 @ ( cons @ SY466 @ SY467 ) ) @ ( cons @ SY468 @ SY469 ) )
!= SY470 )
| ~ ( ssList @ SY469 )
| ~ ( ssList @ SY467 )
| ~ ( ssList @ SV171 )
| ~ ( ssItem @ SY468 )
| ~ ( ssItem @ SY466 )
| ~ ( totalorderedP @ SY470 )
| ~ ( ssList @ SY470 )
| ( leq @ SY466 @ SY468 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(860,plain,
! [SV172: $i] :
( ( ! [SY471: $i,SY472: $i,SY473: $i,SY474: $i,SY475: $i] :
( ( ( app @ ( app @ SV172 @ ( cons @ SY471 @ SY472 ) ) @ ( cons @ SY473 @ SY474 ) )
!= SY475 )
| ~ ( ssList @ SY474 )
| ~ ( ssList @ SY472 )
| ~ ( ssList @ SV172 )
| ~ ( ssItem @ SY473 )
| ~ ( ssItem @ SY471 )
| ~ ( strictorderP @ SY475 )
| ~ ( ssList @ SY475 )
| ( lt @ SY471 @ SY473 )
| ( lt @ SY473 @ SY471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(861,plain,
! [SV173: $i] :
( ( ! [SY476: $i,SY477: $i,SY478: $i,SY479: $i,SY480: $i] :
( ( ( app @ ( app @ SV173 @ ( cons @ SY476 @ SY477 ) ) @ ( cons @ SY478 @ SY479 ) )
!= SY480 )
| ~ ( ssList @ SY479 )
| ~ ( ssList @ SY477 )
| ~ ( ssList @ SV173 )
| ~ ( ssItem @ SY478 )
| ~ ( ssItem @ SY476 )
| ~ ( totalorderP @ SY480 )
| ~ ( ssList @ SY480 )
| ( leq @ SY476 @ SY478 )
| ( leq @ SY478 @ SY476 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(862,plain,
! [SV174: $i] :
( ( ! [SY481: $i,SY482: $i,SY483: $i] :
( ~ ( leq @ SV174 @ SY481 )
| ~ ( leq @ SY481 @ SV174 )
| ! [SY484: $i,SY485: $i] :
( ( ( app @ ( app @ SY482 @ ( cons @ SV174 @ SY483 ) ) @ ( cons @ SY481 @ SY484 ) )
!= SY485 )
| ~ ( ssList @ SY484 )
| ~ ( ssList @ SY483 )
| ~ ( ssList @ SY482 )
| ~ ( ssItem @ SY481 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SY485 )
| ~ ( ssList @ SY485 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(863,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(864,plain,
! [SV1: $i] :
( ( ( ~ ( ssItem @ SV1 ) )
= $true )
| ( ( ! [SY332: $i] :
( ~ ( ssList @ SY332 )
| ( ( app @ ( cons @ SV1 @ nil ) @ SY332 )
!= sk4 )
| ( ( app @ SY332 @ ( cons @ SV1 @ nil ) )
= sk3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(865,plain,
( ( ( nil = sk4 )
= $false )
| ( ( nil = sk3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(866,plain,
! [SV175: $i] :
( ( ( ~ ( ssItem @ SV175 )
| ! [SY486: $i] :
( ~ ( ssList @ SY486 )
| ( ( app @ ( cons @ SV175 @ nil ) @ SY486 )
!= sk2 )
| ( ( app @ SY486 @ ( cons @ SV175 @ nil ) )
!= sk1 ) ) )
= $true )
| ( ( nil = sk2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(867,plain,
( ( ( nil = sk1 )
= $false )
| ( ( neq @ sk2 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(868,plain,
( ( ( nil = sk1 )
= $false )
| ( ( ! [A: $i] :
( ~ ( ssItem @ A )
| ! [B: $i] :
( ~ ( ssList @ B )
| ( ( app @ ( cons @ A @ nil ) @ B )
!= sk2 )
| ( ( app @ B @ ( cons @ A @ nil ) )
!= sk1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(869,plain,
! [SV176: $i,SV38: $i] :
( ( ssList @ ( skaf48 @ SV38 @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(870,plain,
! [SV177: $i,SV39: $i] :
( ( ssList @ ( skaf47 @ SV39 @ SV177 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(871,plain,
! [SV178: $i,SV40: $i] :
( ( ssList @ ( skaf46 @ SV40 @ SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(872,plain,
! [SV179: $i,SV41: $i] :
( ( ssList @ ( skaf45 @ SV41 @ SV179 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(873,plain,
! [SV180: $i,SV42: $i] :
( ( ssList @ ( skaf43 @ SV42 @ SV180 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(874,plain,
! [SV181: $i,SV43: $i] :
( ( ssList @ ( skaf42 @ SV43 @ SV181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(875,plain,
! [SV44: $i] :
( ( ( ~ ( ssItem @ SV44 ) )
= $true )
| ( ( geq @ SV44 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(876,plain,
! [SV45: $i] :
( ( ( ~ ( ssList @ SV45 ) )
= $true )
| ( ( segmentP @ SV45 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(877,plain,
! [SV46: $i] :
( ( ( ~ ( ssList @ SV46 ) )
= $true )
| ( ( segmentP @ SV46 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(878,plain,
! [SV47: $i] :
( ( ( ~ ( ssList @ SV47 ) )
= $true )
| ( ( rearsegP @ SV47 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(879,plain,
! [SV48: $i] :
( ( ( ~ ( ssList @ SV48 ) )
= $true )
| ( ( rearsegP @ SV48 @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(880,plain,
! [SV49: $i] :
( ( ( ~ ( ssList @ SV49 ) )
= $true )
| ( ( frontsegP @ SV49 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(881,plain,
! [SV50: $i] :
( ( ( ~ ( ssList @ SV50 ) )
= $true )
| ( ( frontsegP @ SV50 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(882,plain,
! [SV51: $i] :
( ( ( ~ ( ssItem @ SV51 ) )
= $true )
| ( ( leq @ SV51 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(883,plain,
! [SV52: $i] :
( ( ( ~ ( lt @ SV52 @ SV52 ) )
= $true )
| ( ( ~ ( ssItem @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(884,plain,
! [SV53: $i] :
( ( ( ~ ( ssItem @ SV53 ) )
= $true )
| ( ( equalelemsP @ ( cons @ SV53 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(885,plain,
! [SV54: $i] :
( ( ( ~ ( ssItem @ SV54 ) )
= $true )
| ( ( duplicatefreeP @ ( cons @ SV54 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(886,plain,
! [SV55: $i] :
( ( ( ~ ( ssItem @ SV55 ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV55 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(887,plain,
! [SV56: $i] :
( ( ( ~ ( ssItem @ SV56 ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV56 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(888,plain,
! [SV57: $i] :
( ( ( ~ ( ssItem @ SV57 ) )
= $true )
| ( ( strictorderP @ ( cons @ SV57 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(889,plain,
! [SV58: $i] :
( ( ( ~ ( ssItem @ SV58 ) )
= $true )
| ( ( totalorderP @ ( cons @ SV58 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(890,plain,
! [SV59: $i] :
( ( ( ~ ( ssItem @ SV59 ) )
= $true )
| ( ( cyclefreeP @ ( cons @ SV59 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(891,plain,
! [SV60: $i] :
( ( ( ~ ( memberP @ nil @ SV60 ) )
= $true )
| ( ( ~ ( ssItem @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(892,plain,
! [SV61: $i] :
( ( ( ~ ( ssList @ SV61 ) )
= $true )
| ( ( ( duplicatefreeP @ SV61 )
| ! [V: $i] : ( ssItem @ V ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(893,plain,
! [SV62: $i] :
( ( ( ~ ( ssList @ SV62 ) )
= $true )
| ( ( ( app @ SV62 @ nil )
= SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(894,plain,
! [SV63: $i] :
( ( ( ~ ( ssList @ SV63 ) )
= $true )
| ( ( ( app @ nil @ SV63 )
= SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[751]) ).
thf(895,plain,
! [SV64: $i] :
( ( ( ~ ( ssList @ SV64 ) )
= $true )
| ( ( ( nil = SV64 )
| ( ssList @ ( tl @ SV64 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(896,plain,
! [SV65: $i] :
( ( ( ~ ( ssList @ SV65 ) )
= $true )
| ( ( ( nil = SV65 )
| ( ssItem @ ( hd @ SV65 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(897,plain,
! [SV66: $i] :
( ( ( ~ ( ssList @ SV66 ) )
= $true )
| ( ( ( nil = SV66 )
| ( ssList @ ( tl @ SV66 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[754]) ).
thf(898,plain,
! [SV67: $i] :
( ( ( ~ ( ssList @ SV67 ) )
= $true )
| ( ( ( nil = SV67 )
| ( ssItem @ ( hd @ SV67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(899,plain,
! [SV68: $i] :
( ( ( nil != SV68 )
= $true )
| ( ( ~ ( ssList @ SV68 )
| ( segmentP @ nil @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(900,plain,
! [SV69: $i] :
( ( ( ~ ( segmentP @ nil @ SV69 ) )
= $true )
| ( ( ~ ( ssList @ SV69 )
| ( nil = SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(901,plain,
! [SV70: $i] :
( ( ( nil != SV70 )
= $true )
| ( ( ~ ( ssList @ SV70 )
| ( rearsegP @ nil @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(902,plain,
! [SV71: $i] :
( ( ( ~ ( rearsegP @ nil @ SV71 ) )
= $true )
| ( ( ~ ( ssList @ SV71 )
| ( nil = SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(903,plain,
! [SV72: $i] :
( ( ( nil != SV72 )
= $true )
| ( ( ~ ( ssList @ SV72 )
| ( frontsegP @ nil @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(904,plain,
! [SV73: $i] :
( ( ( ~ ( frontsegP @ nil @ SV73 ) )
= $true )
| ( ( ~ ( ssList @ SV73 )
| ( nil = SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(905,plain,
! [SV74: $i] :
( ( ( ~ ( ssList @ SV74 ) )
= $true )
| ( ( ! [SY340: $i] :
( ~ ( ssList @ SY340 )
| ( ssList @ ( app @ SY340 @ SV74 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(906,plain,
! [SV75: $i] :
( ( ( ~ ( ssItem @ SV75 ) )
= $true )
| ( ( ! [SY341: $i] :
( ~ ( ssList @ SY341 )
| ( ssList @ ( cons @ SV75 @ SY341 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(907,plain,
! [SV76: $i] :
( ( ( ~ ( ssList @ SV76 ) )
= $true )
| ( ( ( cyclefreeP @ SV76 )
| ( leq @ ( skaf50 @ SV76 ) @ ( skaf49 @ SV76 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(908,plain,
! [SV77: $i] :
( ( ( ~ ( ssList @ SV77 ) )
= $true )
| ( ( ( cyclefreeP @ SV77 )
| ( leq @ ( skaf49 @ SV77 ) @ ( skaf50 @ SV77 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(909,plain,
! [SV78: $i] :
( ( ( ( skaf79 @ SV78 )
!= ( skaf78 @ SV78 ) )
= $true )
| ( ( ~ ( ssList @ SV78 )
| ( equalelemsP @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(910,plain,
! [SV79: $i] :
( ( ( ~ ( lt @ ( skaf69 @ SV79 ) @ ( skaf70 @ SV79 ) ) )
= $true )
| ( ( ~ ( ssList @ SV79 )
| ( strictorderedP @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(911,plain,
! [SV80: $i] :
( ( ( ~ ( leq @ ( skaf64 @ SV80 ) @ ( skaf65 @ SV80 ) ) )
= $true )
| ( ( ~ ( ssList @ SV80 )
| ( totalorderedP @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(912,plain,
! [SV81: $i] :
( ( ( ~ ( lt @ ( skaf60 @ SV81 ) @ ( skaf59 @ SV81 ) ) )
= $true )
| ( ( ~ ( ssList @ SV81 )
| ( strictorderP @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(913,plain,
! [SV82: $i] :
( ( ( ~ ( lt @ ( skaf59 @ SV82 ) @ ( skaf60 @ SV82 ) ) )
= $true )
| ( ( ~ ( ssList @ SV82 )
| ( strictorderP @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(914,plain,
! [SV83: $i] :
( ( ( ~ ( leq @ ( skaf55 @ SV83 ) @ ( skaf54 @ SV83 ) ) )
= $true )
| ( ( ~ ( ssList @ SV83 )
| ( totalorderP @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(915,plain,
! [SV84: $i] :
( ( ( ~ ( leq @ ( skaf54 @ SV84 ) @ ( skaf55 @ SV84 ) ) )
= $true )
| ( ( ~ ( ssList @ SV84 )
| ( totalorderP @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(916,plain,
! [SV85: $i] :
( ( ( ~ ( ssItem @ SV85 ) )
= $true )
| ( ( ! [SY342: $i] :
( ~ ( ssList @ SY342 )
| ( ( tl @ ( cons @ SV85 @ SY342 ) )
= SY342 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(917,plain,
! [SV86: $i] :
( ( ( ~ ( ssItem @ SV86 ) )
= $true )
| ( ( ! [SY343: $i] :
( ~ ( ssList @ SY343 )
| ( ( hd @ ( cons @ SV86 @ SY343 ) )
= SV86 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(918,plain,
! [SV182: $i,SV87: $i] :
( ( ( ( cons @ SV87 @ SV182 )
!= nil )
| ~ ( ssItem @ SV87 )
| ~ ( ssList @ SV182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(919,plain,
! [SV183: $i,SV88: $i] :
( ( ( ( cons @ SV88 @ SV183 )
!= SV183 )
| ~ ( ssItem @ SV88 )
| ~ ( ssList @ SV183 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(920,plain,
! [SV89: $i] :
( ( ( ~ ( ssList @ SV89 ) )
= $true )
| ( ( ! [SY346: $i] :
( ~ ( ssList @ SY346 )
| ( SY346 = SV89 )
| ( neq @ SY346 @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(921,plain,
! [SV90: $i] :
( ( ( ~ ( singletonP @ SV90 ) )
= $true )
| ( ( ~ ( ssList @ SV90 )
| ( ( cons @ ( skaf44 @ SV90 ) @ nil )
= SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(922,plain,
! [SV91: $i] :
( ( ( ~ ( ssItem @ SV91 ) )
= $true )
| ( ( ! [SY347: $i] :
( ~ ( ssItem @ SY347 )
| ( SY347 = SV91 )
| ( neq @ SY347 @ SV91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(923,plain,
! [SV184: $i,SV92: $i] :
( ( ~ ( lt @ SV92 @ SV184 )
| ~ ( ssItem @ SV184 )
| ~ ( ssItem @ SV92 )
| ( leq @ SV92 @ SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(924,plain,
! [SV93: $i] :
( ( ( ~ ( ssList @ SV93 ) )
= $true )
| ( ( ( ( cons @ ( hd @ SV93 ) @ ( tl @ SV93 ) )
= SV93 )
| ( nil = SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(925,plain,
! [SV185: $i,SV94: $i] :
( ( ~ ( gt @ SV94 @ SV185 )
| ~ ( ssItem @ SV185 )
| ~ ( ssItem @ SV94 )
| ( lt @ SV185 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(926,plain,
! [SV186: $i,SV95: $i] :
( ( ~ ( lt @ SV95 @ SV186 )
| ~ ( ssItem @ SV95 )
| ~ ( ssItem @ SV186 )
| ( gt @ SV186 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(927,plain,
! [SV187: $i,SV96: $i] :
( ( ~ ( geq @ SV96 @ SV187 )
| ~ ( ssItem @ SV187 )
| ~ ( ssItem @ SV96 )
| ( leq @ SV187 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(928,plain,
! [SV188: $i,SV97: $i] :
( ( ~ ( leq @ SV97 @ SV188 )
| ~ ( ssItem @ SV97 )
| ~ ( ssItem @ SV188 )
| ( geq @ SV188 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(929,plain,
! [SV98: $i] :
( ( ( ~ ( ssList @ SV98 ) )
= $true )
| ( ( ( ( cons @ ( skaf83 @ SV98 ) @ ( skaf82 @ SV98 ) )
= SV98 )
| ( nil = SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(930,plain,
! [SV189: $i,SV99: $i] :
( ( ~ ( gt @ SV99 @ SV189 )
| ~ ( gt @ SV189 @ SV99 )
| ~ ( ssItem @ SV99 )
| ~ ( ssItem @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(931,plain,
! [SV190: $i,SV100: $i] :
( ( ( SV100 != SV190 )
| ~ ( lt @ SV100 @ SV190 )
| ~ ( ssItem @ SV190 )
| ~ ( ssItem @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(932,plain,
! [SV101: $i] :
( ( ( nil != SV101 )
= $true )
| ( ( ~ ( ssList @ SV101 )
| ! [SY355: $i] :
( ~ ( ssItem @ SY355 )
| ( strictorderedP @ ( cons @ SY355 @ SV101 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(933,plain,
! [SV102: $i] :
( ( ( nil != SV102 )
= $true )
| ( ( ~ ( ssList @ SV102 )
| ! [SY356: $i] :
( ~ ( ssItem @ SY356 )
| ( totalorderedP @ ( cons @ SY356 @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(934,plain,
! [SV191: $i,SV103: $i] :
( ( ~ ( lt @ SV103 @ SV191 )
| ~ ( lt @ SV191 @ SV103 )
| ~ ( ssItem @ SV103 )
| ~ ( ssItem @ SV191 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(935,plain,
! [SV192: $i,SV104: $i] :
( ( ( SV104 != SV192 )
| ~ ( neq @ SV104 @ SV192 )
| ~ ( ssList @ SV192 )
| ~ ( ssList @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(936,plain,
! [SV193: $i,SV105: $i] :
( ( ( ( cons @ SV105 @ nil )
!= SV193 )
| ~ ( ssItem @ SV105 )
| ~ ( ssList @ SV193 )
| ( singletonP @ SV193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(937,plain,
! [SV194: $i,SV106: $i] :
( ( ( SV106 != SV194 )
| ~ ( neq @ SV106 @ SV194 )
| ~ ( ssItem @ SV194 )
| ~ ( ssItem @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(938,plain,
! [SV195: $i,SV107: $i] :
( ( ( ( app @ SV107 @ SV195 )
!= nil )
| ~ ( ssList @ SV195 )
| ~ ( ssList @ SV107 )
| ( nil = SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(939,plain,
! [SV196: $i,SV108: $i] :
( ( ( ( app @ SV108 @ SV196 )
!= nil )
| ~ ( ssList @ SV196 )
| ~ ( ssList @ SV108 )
| ( nil = SV196 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(940,plain,
! [SV109: $i] :
( ( ( ~ ( ssItem @ SV109 ) )
= $true )
| ( ( ! [SY363: $i] :
( ~ ( ssList @ SY363 )
| ( ( app @ ( cons @ SV109 @ nil ) @ SY363 )
= ( cons @ SV109 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(941,plain,
! [SV197: $i,SV110: $i] :
( ( ~ ( leq @ SV110 @ SV197 )
| ~ ( ssItem @ SV197 )
| ~ ( ssItem @ SV110 )
| ( SV110 = SV197 )
| ( lt @ SV110 @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(942,plain,
! [SV198: $i,SV111: $i] :
( ( ~ ( leq @ SV111 @ SV198 )
| ~ ( ssItem @ SV198 )
| ~ ( ssItem @ SV111 )
| ( SV111 = SV198 )
| ( lt @ SV111 @ SV198 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(943,plain,
! [SV112: $i] :
( ( ( ~ ( ssList @ SV112 ) )
= $true )
| ( ( ! [SY366: $i] :
( ~ ( ssList @ SY366 )
| ( nil = SY366 )
| ( ( hd @ ( app @ SY366 @ SV112 ) )
= ( hd @ SY366 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(944,plain,
! [SV199: $i,SV113: $i] :
( ( ~ ( strictorderedP @ ( cons @ SV113 @ SV199 ) )
| ~ ( ssList @ SV199 )
| ~ ( ssItem @ SV113 )
| ( nil = SV199 )
| ( strictorderedP @ SV199 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(945,plain,
! [SV200: $i,SV114: $i] :
( ( ~ ( totalorderedP @ ( cons @ SV114 @ SV200 ) )
| ~ ( ssList @ SV200 )
| ~ ( ssItem @ SV114 )
| ( nil = SV200 )
| ( totalorderedP @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(946,plain,
! [SV201: $i,SV115: $i] :
( ( ~ ( geq @ SV115 @ SV201 )
| ~ ( geq @ SV201 @ SV115 )
| ~ ( ssItem @ SV115 )
| ~ ( ssItem @ SV201 )
| ( SV201 = SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(947,plain,
! [SV202: $i,SV116: $i] :
( ( ~ ( segmentP @ SV116 @ SV202 )
| ~ ( segmentP @ SV202 @ SV116 )
| ~ ( ssList @ SV116 )
| ~ ( ssList @ SV202 )
| ( SV202 = SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(948,plain,
! [SV203: $i,SV117: $i] :
( ( ~ ( rearsegP @ SV117 @ SV203 )
| ~ ( rearsegP @ SV203 @ SV117 )
| ~ ( ssList @ SV117 )
| ~ ( ssList @ SV203 )
| ( SV203 = SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(949,plain,
! [SV204: $i,SV118: $i] :
( ( ~ ( frontsegP @ SV118 @ SV204 )
| ~ ( frontsegP @ SV204 @ SV118 )
| ~ ( ssList @ SV118 )
| ~ ( ssList @ SV204 )
| ( SV204 = SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(950,plain,
! [SV205: $i,SV119: $i] :
( ( ~ ( leq @ SV119 @ SV205 )
| ~ ( leq @ SV205 @ SV119 )
| ~ ( ssItem @ SV119 )
| ~ ( ssItem @ SV205 )
| ( SV205 = SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(951,plain,
! [SV206: $i,SV120: $i] :
( ( ~ ( rearsegP @ SV120 @ SV206 )
| ~ ( ssList @ SV206 )
| ~ ( ssList @ SV120 )
| ( ( app @ ( skaf46 @ SV120 @ SV206 ) @ SV206 )
= SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(952,plain,
! [SV207: $i,SV121: $i] :
( ( ~ ( frontsegP @ SV121 @ SV207 )
| ~ ( ssList @ SV207 )
| ~ ( ssList @ SV121 )
| ( ( app @ SV207 @ ( skaf45 @ SV121 @ SV207 ) )
= SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(953,plain,
! [SV122: $i] :
( ( ( ~ ( ssList @ SV122 ) )
= $true )
| ( ( ! [SY376: $i] :
( ~ ( ssList @ SY376 )
| ( nil = SY376 )
| ( ( tl @ ( app @ SY376 @ SV122 ) )
= ( app @ ( tl @ SY376 ) @ SV122 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[810]) ).
thf(954,plain,
! [SV208: $i,SV123: $i] :
( ( ~ ( strictorderedP @ ( cons @ SV123 @ SV208 ) )
| ~ ( ssList @ SV208 )
| ~ ( ssItem @ SV123 )
| ( nil = SV208 )
| ( lt @ SV123 @ ( hd @ SV208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(955,plain,
! [SV209: $i,SV124: $i] :
( ( ~ ( totalorderedP @ ( cons @ SV124 @ SV209 ) )
| ~ ( ssList @ SV209 )
| ~ ( ssItem @ SV124 )
| ( nil = SV209 )
| ( leq @ SV124 @ ( hd @ SV209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(956,plain,
! [SV210: $i,SV125: $i] :
( ( ~ ( rearsegP @ SV125 @ SV210 )
| ! [SY487: $i] :
( ~ ( ssList @ SY487 )
| ~ ( ssList @ SV210 )
| ~ ( ssList @ SV125 )
| ( rearsegP @ ( app @ SY487 @ SV125 ) @ SV210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(957,plain,
! [SV211: $i,SV126: $i] :
( ( ~ ( frontsegP @ SV126 @ SV211 )
| ! [SY488: $i] :
( ~ ( ssList @ SY488 )
| ~ ( ssList @ SV211 )
| ~ ( ssList @ SV126 )
| ( frontsegP @ ( app @ SV126 @ SY488 ) @ SV211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(958,plain,
! [SV212: $i,SV127: $i] :
( ( ( SV127 != SV212 )
| ! [SY489: $i] :
( ~ ( ssList @ SY489 )
| ~ ( ssItem @ SV212 )
| ~ ( ssItem @ SV127 )
| ( memberP @ ( cons @ SV212 @ SY489 ) @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(959,plain,
! [SV213: $i,SV128: $i] :
( ( ~ ( memberP @ SV128 @ SV213 )
| ~ ( ssList @ SV128 )
| ! [SY490: $i] :
( ~ ( ssItem @ SY490 )
| ~ ( ssItem @ SV213 )
| ( memberP @ ( cons @ SY490 @ SV128 ) @ SV213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(960,plain,
! [SV214: $i,SV129: $i] :
( ( ~ ( memberP @ SV129 @ SV214 )
| ! [SY491: $i] :
( ~ ( ssList @ SY491 )
| ~ ( ssList @ SV129 )
| ~ ( ssItem @ SV214 )
| ( memberP @ ( app @ SV129 @ SY491 ) @ SV214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(961,plain,
! [SV215: $i,SV130: $i] :
( ( ~ ( memberP @ SV130 @ SV215 )
| ~ ( ssList @ SV130 )
| ! [SY492: $i] :
( ~ ( ssList @ SY492 )
| ~ ( ssItem @ SV215 )
| ( memberP @ ( app @ SY492 @ SV130 ) @ SV215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(962,plain,
! [SV131: $i] :
( ( ( ~ ( ssList @ SV131 ) )
= $true )
| ( ( ( ( app @ ( skaf80 @ SV131 ) @ ( cons @ ( skaf78 @ SV131 ) @ ( cons @ ( skaf79 @ SV131 ) @ ( skaf81 @ SV131 ) ) ) )
= SV131 )
| ( equalelemsP @ SV131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(963,plain,
! [SV216: $i,SV132: $i] :
( ( ! [SY493: $i] :
( ( ( app @ SV132 @ SV216 )
!= SY493 )
| ~ ( ssList @ SV132 )
| ~ ( ssList @ SV216 )
| ~ ( ssList @ SY493 )
| ( rearsegP @ SY493 @ SV216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(964,plain,
! [SV217: $i,SV133: $i] :
( ( ! [SY494: $i] :
( ( ( app @ SV133 @ SV217 )
!= SY494 )
| ~ ( ssList @ SV217 )
| ~ ( ssList @ SV133 )
| ~ ( ssList @ SY494 )
| ( frontsegP @ SY494 @ SV133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(965,plain,
! [SV134: $i] :
( ( ( nil != SV134 )
= $true )
| ( ( ! [SY395: $i] :
( ( nil != SY395 )
| ~ ( ssList @ SY395 )
| ~ ( ssList @ SV134 )
| ( ( app @ SV134 @ SY395 )
= nil ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(966,plain,
! [SV218: $i,SV135: $i] :
( ( ~ ( gt @ SV135 @ SV218 )
| ! [SY495: $i] :
( ~ ( gt @ SV218 @ SY495 )
| ~ ( ssItem @ SY495 )
| ~ ( ssItem @ SV218 )
| ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SY495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(967,plain,
! [SV219: $i,SV136: $i] :
( ( ~ ( leq @ SV136 @ SV219 )
| ! [SY496: $i] :
( ~ ( lt @ SV219 @ SY496 )
| ~ ( ssItem @ SY496 )
| ~ ( ssItem @ SV219 )
| ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SY496 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(968,plain,
! [SV220: $i,SV137: $i] :
( ( ~ ( geq @ SV137 @ SV220 )
| ! [SY497: $i] :
( ~ ( geq @ SV220 @ SY497 )
| ~ ( ssItem @ SY497 )
| ~ ( ssItem @ SV220 )
| ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SY497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(969,plain,
! [SV138: $i] :
( ( ( ~ ( ssList @ SV138 ) )
= $true )
| ( ( ! [SY402: $i] :
( ~ ( ssList @ SY402 )
| ! [SY403: $i] :
( ~ ( ssList @ SY403 )
| ( ( app @ ( app @ SY403 @ SY402 ) @ SV138 )
= ( app @ SY403 @ ( app @ SY402 @ SV138 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(970,plain,
! [SV221: $i,SV139: $i] :
( ( ! [SY498: $i] :
( ( ( app @ SV139 @ SV221 )
!= ( app @ SV139 @ SY498 ) )
| ~ ( ssList @ SV221 )
| ~ ( ssList @ SV139 )
| ~ ( ssList @ SY498 )
| ( SV221 = SY498 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(971,plain,
! [SV222: $i,SV140: $i] :
( ( ! [SY499: $i] :
( ( ( app @ SV140 @ SV222 )
!= ( app @ SY499 @ SV222 ) )
| ~ ( ssList @ SV140 )
| ~ ( ssList @ SV222 )
| ~ ( ssList @ SY499 )
| ( SV140 = SY499 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(972,plain,
! [SV223: $i,SV141: $i] :
( ( ~ ( segmentP @ SV141 @ SV223 )
| ! [SY500: $i] :
( ~ ( segmentP @ SV223 @ SY500 )
| ~ ( ssList @ SY500 )
| ~ ( ssList @ SV223 )
| ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SY500 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(973,plain,
! [SV224: $i,SV142: $i] :
( ( ~ ( rearsegP @ SV142 @ SV224 )
| ! [SY501: $i] :
( ~ ( rearsegP @ SV224 @ SY501 )
| ~ ( ssList @ SY501 )
| ~ ( ssList @ SV224 )
| ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SY501 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(974,plain,
! [SV225: $i,SV143: $i] :
( ( ~ ( frontsegP @ SV143 @ SV225 )
| ! [SY502: $i] :
( ~ ( frontsegP @ SV225 @ SY502 )
| ~ ( ssList @ SY502 )
| ~ ( ssList @ SV225 )
| ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SY502 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(975,plain,
! [SV226: $i,SV144: $i] :
( ( ~ ( lt @ SV144 @ SV226 )
| ! [SY503: $i] :
( ~ ( lt @ SV226 @ SY503 )
| ~ ( ssItem @ SY503 )
| ~ ( ssItem @ SV226 )
| ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SY503 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(976,plain,
! [SV227: $i,SV145: $i] :
( ( ~ ( leq @ SV145 @ SV227 )
| ! [SY504: $i] :
( ~ ( leq @ SV227 @ SY504 )
| ~ ( ssItem @ SY504 )
| ~ ( ssItem @ SV227 )
| ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SY504 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(977,plain,
! [SV146: $i] :
( ( ( ~ ( ssItem @ SV146 ) )
= $true )
| ( ( ! [SY418: $i] :
( ~ ( ssList @ SY418 )
| ! [SY419: $i] :
( ~ ( ssList @ SY419 )
| ( ( cons @ SV146 @ ( app @ SY418 @ SY419 ) )
= ( app @ ( cons @ SV146 @ SY418 ) @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(978,plain,
! [SV228: $i,SV147: $i] :
( ( ! [SY505: $i] :
( ~ ( memberP @ ( app @ SV147 @ SV228 ) @ SY505 )
| ~ ( ssList @ SV228 )
| ~ ( ssList @ SV147 )
| ~ ( ssItem @ SY505 )
| ( memberP @ SV228 @ SY505 )
| ( memberP @ SV147 @ SY505 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(979,plain,
! [SV229: $i,SV148: $i] :
( ( ~ ( leq @ SV148 @ ( hd @ SV229 ) )
| ~ ( totalorderedP @ SV229 )
| ~ ( ssList @ SV229 )
| ~ ( ssItem @ SV148 )
| ( nil = SV229 )
| ( totalorderedP @ ( cons @ SV148 @ SV229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(980,plain,
! [SV230: $i,SV149: $i] :
( ( ~ ( lt @ SV149 @ ( hd @ SV230 ) )
| ~ ( strictorderedP @ SV230 )
| ~ ( ssList @ SV230 )
| ~ ( ssItem @ SV149 )
| ( nil = SV230 )
| ( strictorderedP @ ( cons @ SV149 @ SV230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(981,plain,
! [SV231: $i,SV150: $i] :
( ( ! [SY506: $i] :
( ~ ( memberP @ ( cons @ SV150 @ SV231 ) @ SY506 )
| ~ ( ssList @ SV231 )
| ~ ( ssItem @ SV150 )
| ~ ( ssItem @ SY506 )
| ( SY506 = SV150 )
| ( memberP @ SV231 @ SY506 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(982,plain,
! [SV151: $i] :
( ( ( ~ ( ssList @ SV151 ) )
= $true )
| ( ( ( ( app @ ( app @ ( skaf75 @ SV151 ) @ ( cons @ ( skaf74 @ SV151 ) @ ( skaf76 @ SV151 ) ) ) @ ( cons @ ( skaf74 @ SV151 ) @ ( skaf77 @ SV151 ) ) )
= SV151 )
| ( duplicatefreeP @ SV151 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[839]) ).
thf(983,plain,
! [SV152: $i] :
( ( ( ~ ( ssList @ SV152 ) )
= $true )
| ( ( ( ( app @ ( app @ ( skaf71 @ SV152 ) @ ( cons @ ( skaf69 @ SV152 ) @ ( skaf72 @ SV152 ) ) ) @ ( cons @ ( skaf70 @ SV152 ) @ ( skaf73 @ SV152 ) ) )
= SV152 )
| ( strictorderedP @ SV152 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(984,plain,
! [SV153: $i] :
( ( ( ~ ( ssList @ SV153 ) )
= $true )
| ( ( ( ( app @ ( app @ ( skaf66 @ SV153 ) @ ( cons @ ( skaf64 @ SV153 ) @ ( skaf67 @ SV153 ) ) ) @ ( cons @ ( skaf65 @ SV153 ) @ ( skaf68 @ SV153 ) ) )
= SV153 )
| ( totalorderedP @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(985,plain,
! [SV154: $i] :
( ( ( ~ ( ssList @ SV154 ) )
= $true )
| ( ( ( ( app @ ( app @ ( skaf61 @ SV154 ) @ ( cons @ ( skaf59 @ SV154 ) @ ( skaf62 @ SV154 ) ) ) @ ( cons @ ( skaf60 @ SV154 ) @ ( skaf63 @ SV154 ) ) )
= SV154 )
| ( strictorderP @ SV154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[842]) ).
thf(986,plain,
! [SV155: $i] :
( ( ( ~ ( ssList @ SV155 ) )
= $true )
| ( ( ( ( app @ ( app @ ( skaf56 @ SV155 ) @ ( cons @ ( skaf54 @ SV155 ) @ ( skaf57 @ SV155 ) ) ) @ ( cons @ ( skaf55 @ SV155 ) @ ( skaf58 @ SV155 ) ) )
= SV155 )
| ( totalorderP @ SV155 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(987,plain,
! [SV156: $i] :
( ( ( ~ ( ssList @ SV156 ) )
= $true )
| ( ( ( ( app @ ( app @ ( skaf51 @ SV156 ) @ ( cons @ ( skaf49 @ SV156 ) @ ( skaf52 @ SV156 ) ) ) @ ( cons @ ( skaf50 @ SV156 ) @ ( skaf53 @ SV156 ) ) )
= SV156 )
| ( cyclefreeP @ SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(988,plain,
! [SV232: $i,SV157: $i] :
( ( ~ ( segmentP @ SV157 @ SV232 )
| ~ ( ssList @ SV232 )
| ~ ( ssList @ SV157 )
| ( ( app @ ( app @ ( skaf47 @ SV157 @ SV232 ) @ SV232 ) @ ( skaf48 @ SV232 @ SV157 ) )
= SV157 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(989,plain,
! [SV233: $i,SV158: $i] :
( ( ~ ( memberP @ SV158 @ SV233 )
| ~ ( ssItem @ SV233 )
| ~ ( ssList @ SV158 )
| ( ( app @ ( skaf42 @ SV158 @ SV233 ) @ ( cons @ SV233 @ ( skaf43 @ SV233 @ SV158 ) ) )
= SV158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(990,plain,
! [SV234: $i,SV159: $i] :
( ( ! [SY507: $i,SY508: $i] :
( ( ( cons @ SV159 @ SV234 )
!= ( cons @ SY507 @ SY508 ) )
| ~ ( ssItem @ SY507 )
| ~ ( ssItem @ SV159 )
| ~ ( ssList @ SY508 )
| ~ ( ssList @ SV234 )
| ( SV159 = SY507 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(991,plain,
! [SV235: $i,SV160: $i] :
( ( ! [SY509: $i,SY510: $i] :
( ( ( cons @ SV160 @ SV235 )
!= ( cons @ SY509 @ SY510 ) )
| ~ ( ssItem @ SY509 )
| ~ ( ssItem @ SV160 )
| ~ ( ssList @ SY510 )
| ~ ( ssList @ SV235 )
| ( SY510 = SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(992,plain,
! [SV236: $i,SV161: $i] :
( ( ~ ( segmentP @ SV161 @ SV236 )
| ! [SY511: $i] :
( ~ ( ssList @ SY511 )
| ! [SY512: $i] :
( ~ ( ssList @ SY512 )
| ~ ( ssList @ SV236 )
| ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SY512 @ SV161 ) @ SY511 ) @ SV236 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(993,plain,
! [SV237: $i,SV162: $i] :
( ( ! [SY513: $i,SY514: $i] :
( ( ( app @ ( app @ SV162 @ SV237 ) @ SY513 )
!= SY514 )
| ~ ( ssList @ SY513 )
| ~ ( ssList @ SV162 )
| ~ ( ssList @ SV237 )
| ~ ( ssList @ SY514 )
| ( segmentP @ SY514 @ SV237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(994,plain,
! [SV238: $i,SV163: $i] :
( ( ! [SY515: $i,SY516: $i] :
( ~ ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SY515 @ SY516 ) )
| ~ ( ssList @ SY516 )
| ~ ( ssList @ SV238 )
| ~ ( ssItem @ SY515 )
| ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SY516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(995,plain,
! [SV239: $i,SV164: $i] :
( ( ! [SY517: $i,SY518: $i] :
( ( ( app @ SV164 @ ( cons @ SV239 @ SY517 ) )
!= SY518 )
| ~ ( ssList @ SY517 )
| ~ ( ssList @ SV164 )
| ~ ( ssItem @ SV239 )
| ~ ( ssList @ SY518 )
| ( memberP @ SY518 @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(996,plain,
! [SV240: $i,SV165: $i] :
( ( ! [SY519: $i,SY520: $i] :
( ~ ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SY519 @ SY520 ) )
| ~ ( ssList @ SY520 )
| ~ ( ssList @ SV240 )
| ~ ( ssItem @ SY519 )
| ~ ( ssItem @ SV165 )
| ( SV165 = SY519 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(997,plain,
! [SV241: $i,SV166: $i] :
( ( ( ( tl @ SV166 )
!= ( tl @ SV241 ) )
| ( ( hd @ SV166 )
!= ( hd @ SV241 ) )
| ~ ( ssList @ SV166 )
| ~ ( ssList @ SV241 )
| ( nil = SV241 )
| ( SV166 = SV241 )
| ( nil = SV166 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(998,plain,
! [SV242: $i,SV167: $i] :
( ( ~ ( frontsegP @ SV167 @ SV242 )
| ! [SY521: $i,SY522: $i] :
( ( SY521 != SY522 )
| ~ ( ssList @ SV242 )
| ~ ( ssList @ SV167 )
| ~ ( ssItem @ SY522 )
| ~ ( ssItem @ SY521 )
| ( frontsegP @ ( cons @ SY521 @ SV167 ) @ ( cons @ SY522 @ SV242 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(999,plain,
! [SV243: $i,SV168: $i] :
( ( ! [SY523: $i,SY524: $i,SY525: $i] :
( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SY523 ) ) @ ( cons @ SV243 @ SY524 ) )
!= SY525 )
| ~ ( ssList @ SY524 )
| ~ ( ssList @ SY523 )
| ~ ( ssList @ SV168 )
| ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SY525 )
| ~ ( ssList @ SY525 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(1000,plain,
! [SV244: $i,SV169: $i] :
( ( ! [SY526: $i,SY527: $i,SY528: $i] :
( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SY526 @ SY527 ) ) )
!= SY528 )
| ~ ( ssList @ SY527 )
| ~ ( ssList @ SV169 )
| ~ ( ssItem @ SY526 )
| ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SY528 )
| ~ ( ssList @ SY528 )
| ( SV244 = SY526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(1001,plain,
! [SV245: $i,SV170: $i] :
( ( ! [SY529: $i,SY530: $i,SY531: $i,SY532: $i] :
( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SY529 ) ) @ ( cons @ SY530 @ SY531 ) )
!= SY532 )
| ~ ( ssList @ SY531 )
| ~ ( ssList @ SY529 )
| ~ ( ssList @ SV170 )
| ~ ( ssItem @ SY530 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SY532 )
| ~ ( ssList @ SY532 )
| ( lt @ SV245 @ SY530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(1002,plain,
! [SV246: $i,SV171: $i] :
( ( ! [SY533: $i,SY534: $i,SY535: $i,SY536: $i] :
( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SY533 ) ) @ ( cons @ SY534 @ SY535 ) )
!= SY536 )
| ~ ( ssList @ SY535 )
| ~ ( ssList @ SY533 )
| ~ ( ssList @ SV171 )
| ~ ( ssItem @ SY534 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SY536 )
| ~ ( ssList @ SY536 )
| ( leq @ SV246 @ SY534 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(1003,plain,
! [SV247: $i,SV172: $i] :
( ( ! [SY537: $i,SY538: $i,SY539: $i,SY540: $i] :
( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SY537 ) ) @ ( cons @ SY538 @ SY539 ) )
!= SY540 )
| ~ ( ssList @ SY539 )
| ~ ( ssList @ SY537 )
| ~ ( ssList @ SV172 )
| ~ ( ssItem @ SY538 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SY540 )
| ~ ( ssList @ SY540 )
| ( lt @ SV247 @ SY538 )
| ( lt @ SY538 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(1004,plain,
! [SV248: $i,SV173: $i] :
( ( ! [SY541: $i,SY542: $i,SY543: $i,SY544: $i] :
( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SY541 ) ) @ ( cons @ SY542 @ SY543 ) )
!= SY544 )
| ~ ( ssList @ SY543 )
| ~ ( ssList @ SY541 )
| ~ ( ssList @ SV173 )
| ~ ( ssItem @ SY542 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SY544 )
| ~ ( ssList @ SY544 )
| ( leq @ SV248 @ SY542 )
| ( leq @ SY542 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(1005,plain,
! [SV249: $i,SV174: $i] :
( ( ! [SY545: $i,SY546: $i] :
( ~ ( leq @ SV174 @ SV249 )
| ~ ( leq @ SV249 @ SV174 )
| ! [SY547: $i,SY548: $i] :
( ( ( app @ ( app @ SY545 @ ( cons @ SV174 @ SY546 ) ) @ ( cons @ SV249 @ SY547 ) )
!= SY548 )
| ~ ( ssList @ SY547 )
| ~ ( ssList @ SY546 )
| ~ ( ssList @ SY545 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SY548 )
| ~ ( ssList @ SY548 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(1006,plain,
! [SV1: $i] :
( ( ( ssItem @ SV1 )
= $false )
| ( ( ! [SY332: $i] :
( ~ ( ssList @ SY332 )
| ( ( app @ ( cons @ SV1 @ nil ) @ SY332 )
!= sk4 )
| ( ( app @ SY332 @ ( cons @ SV1 @ nil ) )
= sk3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(1007,plain,
! [SV175: $i] :
( ( ( ~ ( ssItem @ SV175 ) )
= $true )
| ( ( ! [SY486: $i] :
( ~ ( ssList @ SY486 )
| ( ( app @ ( cons @ SV175 @ nil ) @ SY486 )
!= sk2 )
| ( ( app @ SY486 @ ( cons @ SV175 @ nil ) )
!= sk1 ) ) )
= $true )
| ( ( nil = sk2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(1008,plain,
! [SV250: $i] :
( ( ( ~ ( ssItem @ SV250 )
| ! [SY549: $i] :
( ~ ( ssList @ SY549 )
| ( ( app @ ( cons @ SV250 @ nil ) @ SY549 )
!= sk2 )
| ( ( app @ SY549 @ ( cons @ SV250 @ nil ) )
!= sk1 ) ) )
= $true )
| ( ( nil = sk1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(1009,plain,
! [SV44: $i] :
( ( ( ssItem @ SV44 )
= $false )
| ( ( geq @ SV44 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(1010,plain,
! [SV45: $i] :
( ( ( ssList @ SV45 )
= $false )
| ( ( segmentP @ SV45 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(1011,plain,
! [SV46: $i] :
( ( ( ssList @ SV46 )
= $false )
| ( ( segmentP @ SV46 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(1012,plain,
! [SV47: $i] :
( ( ( ssList @ SV47 )
= $false )
| ( ( rearsegP @ SV47 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(1013,plain,
! [SV48: $i] :
( ( ( ssList @ SV48 )
= $false )
| ( ( rearsegP @ SV48 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(1014,plain,
! [SV49: $i] :
( ( ( ssList @ SV49 )
= $false )
| ( ( frontsegP @ SV49 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(1015,plain,
! [SV50: $i] :
( ( ( ssList @ SV50 )
= $false )
| ( ( frontsegP @ SV50 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(1016,plain,
! [SV51: $i] :
( ( ( ssItem @ SV51 )
= $false )
| ( ( leq @ SV51 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(1017,plain,
! [SV52: $i] :
( ( ( lt @ SV52 @ SV52 )
= $false )
| ( ( ~ ( ssItem @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(1018,plain,
! [SV53: $i] :
( ( ( ssItem @ SV53 )
= $false )
| ( ( equalelemsP @ ( cons @ SV53 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(1019,plain,
! [SV54: $i] :
( ( ( ssItem @ SV54 )
= $false )
| ( ( duplicatefreeP @ ( cons @ SV54 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(1020,plain,
! [SV55: $i] :
( ( ( ssItem @ SV55 )
= $false )
| ( ( strictorderedP @ ( cons @ SV55 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(1021,plain,
! [SV56: $i] :
( ( ( ssItem @ SV56 )
= $false )
| ( ( totalorderedP @ ( cons @ SV56 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(1022,plain,
! [SV57: $i] :
( ( ( ssItem @ SV57 )
= $false )
| ( ( strictorderP @ ( cons @ SV57 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(1023,plain,
! [SV58: $i] :
( ( ( ssItem @ SV58 )
= $false )
| ( ( totalorderP @ ( cons @ SV58 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(1024,plain,
! [SV59: $i] :
( ( ( ssItem @ SV59 )
= $false )
| ( ( cyclefreeP @ ( cons @ SV59 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(1025,plain,
! [SV60: $i] :
( ( ( memberP @ nil @ SV60 )
= $false )
| ( ( ~ ( ssItem @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(1026,plain,
! [SV61: $i] :
( ( ( ssList @ SV61 )
= $false )
| ( ( ( duplicatefreeP @ SV61 )
| ! [V: $i] : ( ssItem @ V ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(1027,plain,
! [SV62: $i] :
( ( ( ssList @ SV62 )
= $false )
| ( ( ( app @ SV62 @ nil )
= SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(1028,plain,
! [SV63: $i] :
( ( ( ssList @ SV63 )
= $false )
| ( ( ( app @ nil @ SV63 )
= SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(1029,plain,
! [SV64: $i] :
( ( ( ssList @ SV64 )
= $false )
| ( ( ( nil = SV64 )
| ( ssList @ ( tl @ SV64 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(1030,plain,
! [SV65: $i] :
( ( ( ssList @ SV65 )
= $false )
| ( ( ( nil = SV65 )
| ( ssItem @ ( hd @ SV65 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(1031,plain,
! [SV66: $i] :
( ( ( ssList @ SV66 )
= $false )
| ( ( ( nil = SV66 )
| ( ssList @ ( tl @ SV66 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(1032,plain,
! [SV67: $i] :
( ( ( ssList @ SV67 )
= $false )
| ( ( ( nil = SV67 )
| ( ssItem @ ( hd @ SV67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(1033,plain,
! [SV68: $i] :
( ( ( nil = SV68 )
= $false )
| ( ( ~ ( ssList @ SV68 )
| ( segmentP @ nil @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(1034,plain,
! [SV69: $i] :
( ( ( segmentP @ nil @ SV69 )
= $false )
| ( ( ~ ( ssList @ SV69 )
| ( nil = SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(1035,plain,
! [SV70: $i] :
( ( ( nil = SV70 )
= $false )
| ( ( ~ ( ssList @ SV70 )
| ( rearsegP @ nil @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(1036,plain,
! [SV71: $i] :
( ( ( rearsegP @ nil @ SV71 )
= $false )
| ( ( ~ ( ssList @ SV71 )
| ( nil = SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(1037,plain,
! [SV72: $i] :
( ( ( nil = SV72 )
= $false )
| ( ( ~ ( ssList @ SV72 )
| ( frontsegP @ nil @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(1038,plain,
! [SV73: $i] :
( ( ( frontsegP @ nil @ SV73 )
= $false )
| ( ( ~ ( ssList @ SV73 )
| ( nil = SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(1039,plain,
! [SV74: $i] :
( ( ( ssList @ SV74 )
= $false )
| ( ( ! [SY340: $i] :
( ~ ( ssList @ SY340 )
| ( ssList @ ( app @ SY340 @ SV74 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(1040,plain,
! [SV75: $i] :
( ( ( ssItem @ SV75 )
= $false )
| ( ( ! [SY341: $i] :
( ~ ( ssList @ SY341 )
| ( ssList @ ( cons @ SV75 @ SY341 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(1041,plain,
! [SV76: $i] :
( ( ( ssList @ SV76 )
= $false )
| ( ( ( cyclefreeP @ SV76 )
| ( leq @ ( skaf50 @ SV76 ) @ ( skaf49 @ SV76 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(1042,plain,
! [SV77: $i] :
( ( ( ssList @ SV77 )
= $false )
| ( ( ( cyclefreeP @ SV77 )
| ( leq @ ( skaf49 @ SV77 ) @ ( skaf50 @ SV77 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(1043,plain,
! [SV78: $i] :
( ( ( ( skaf79 @ SV78 )
= ( skaf78 @ SV78 ) )
= $false )
| ( ( ~ ( ssList @ SV78 )
| ( equalelemsP @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(1044,plain,
! [SV79: $i] :
( ( ( lt @ ( skaf69 @ SV79 ) @ ( skaf70 @ SV79 ) )
= $false )
| ( ( ~ ( ssList @ SV79 )
| ( strictorderedP @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(1045,plain,
! [SV80: $i] :
( ( ( leq @ ( skaf64 @ SV80 ) @ ( skaf65 @ SV80 ) )
= $false )
| ( ( ~ ( ssList @ SV80 )
| ( totalorderedP @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(1046,plain,
! [SV81: $i] :
( ( ( lt @ ( skaf60 @ SV81 ) @ ( skaf59 @ SV81 ) )
= $false )
| ( ( ~ ( ssList @ SV81 )
| ( strictorderP @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(1047,plain,
! [SV82: $i] :
( ( ( lt @ ( skaf59 @ SV82 ) @ ( skaf60 @ SV82 ) )
= $false )
| ( ( ~ ( ssList @ SV82 )
| ( strictorderP @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(1048,plain,
! [SV83: $i] :
( ( ( leq @ ( skaf55 @ SV83 ) @ ( skaf54 @ SV83 ) )
= $false )
| ( ( ~ ( ssList @ SV83 )
| ( totalorderP @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(1049,plain,
! [SV84: $i] :
( ( ( leq @ ( skaf54 @ SV84 ) @ ( skaf55 @ SV84 ) )
= $false )
| ( ( ~ ( ssList @ SV84 )
| ( totalorderP @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(1050,plain,
! [SV85: $i] :
( ( ( ssItem @ SV85 )
= $false )
| ( ( ! [SY342: $i] :
( ~ ( ssList @ SY342 )
| ( ( tl @ ( cons @ SV85 @ SY342 ) )
= SY342 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(1051,plain,
! [SV86: $i] :
( ( ( ssItem @ SV86 )
= $false )
| ( ( ! [SY343: $i] :
( ~ ( ssList @ SY343 )
| ( ( hd @ ( cons @ SV86 @ SY343 ) )
= SV86 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(1052,plain,
! [SV182: $i,SV87: $i] :
( ( ( ( cons @ SV87 @ SV182 )
!= nil )
= $true )
| ( ( ~ ( ssItem @ SV87 )
| ~ ( ssList @ SV182 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(1053,plain,
! [SV183: $i,SV88: $i] :
( ( ( ( cons @ SV88 @ SV183 )
!= SV183 )
= $true )
| ( ( ~ ( ssItem @ SV88 )
| ~ ( ssList @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(1054,plain,
! [SV89: $i] :
( ( ( ssList @ SV89 )
= $false )
| ( ( ! [SY346: $i] :
( ~ ( ssList @ SY346 )
| ( SY346 = SV89 )
| ( neq @ SY346 @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(1055,plain,
! [SV90: $i] :
( ( ( singletonP @ SV90 )
= $false )
| ( ( ~ ( ssList @ SV90 )
| ( ( cons @ ( skaf44 @ SV90 ) @ nil )
= SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(1056,plain,
! [SV91: $i] :
( ( ( ssItem @ SV91 )
= $false )
| ( ( ! [SY347: $i] :
( ~ ( ssItem @ SY347 )
| ( SY347 = SV91 )
| ( neq @ SY347 @ SV91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1057,plain,
! [SV184: $i,SV92: $i] :
( ( ( ~ ( lt @ SV92 @ SV184 ) )
= $true )
| ( ( ~ ( ssItem @ SV184 )
| ~ ( ssItem @ SV92 )
| ( leq @ SV92 @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[923]) ).
thf(1058,plain,
! [SV93: $i] :
( ( ( ssList @ SV93 )
= $false )
| ( ( ( ( cons @ ( hd @ SV93 ) @ ( tl @ SV93 ) )
= SV93 )
| ( nil = SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(1059,plain,
! [SV185: $i,SV94: $i] :
( ( ( ~ ( gt @ SV94 @ SV185 ) )
= $true )
| ( ( ~ ( ssItem @ SV185 )
| ~ ( ssItem @ SV94 )
| ( lt @ SV185 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(1060,plain,
! [SV186: $i,SV95: $i] :
( ( ( ~ ( lt @ SV95 @ SV186 ) )
= $true )
| ( ( ~ ( ssItem @ SV95 )
| ~ ( ssItem @ SV186 )
| ( gt @ SV186 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(1061,plain,
! [SV187: $i,SV96: $i] :
( ( ( ~ ( geq @ SV96 @ SV187 ) )
= $true )
| ( ( ~ ( ssItem @ SV187 )
| ~ ( ssItem @ SV96 )
| ( leq @ SV187 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(1062,plain,
! [SV188: $i,SV97: $i] :
( ( ( ~ ( leq @ SV97 @ SV188 ) )
= $true )
| ( ( ~ ( ssItem @ SV97 )
| ~ ( ssItem @ SV188 )
| ( geq @ SV188 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(1063,plain,
! [SV98: $i] :
( ( ( ssList @ SV98 )
= $false )
| ( ( ( ( cons @ ( skaf83 @ SV98 ) @ ( skaf82 @ SV98 ) )
= SV98 )
| ( nil = SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(1064,plain,
! [SV189: $i,SV99: $i] :
( ( ( ~ ( gt @ SV99 @ SV189 ) )
= $true )
| ( ( ~ ( gt @ SV189 @ SV99 )
| ~ ( ssItem @ SV99 )
| ~ ( ssItem @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[930]) ).
thf(1065,plain,
! [SV190: $i,SV100: $i] :
( ( ( SV100 != SV190 )
= $true )
| ( ( ~ ( lt @ SV100 @ SV190 )
| ~ ( ssItem @ SV190 )
| ~ ( ssItem @ SV100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(1066,plain,
! [SV101: $i] :
( ( ( nil = SV101 )
= $false )
| ( ( ~ ( ssList @ SV101 )
| ! [SY355: $i] :
( ~ ( ssItem @ SY355 )
| ( strictorderedP @ ( cons @ SY355 @ SV101 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(1067,plain,
! [SV102: $i] :
( ( ( nil = SV102 )
= $false )
| ( ( ~ ( ssList @ SV102 )
| ! [SY356: $i] :
( ~ ( ssItem @ SY356 )
| ( totalorderedP @ ( cons @ SY356 @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1068,plain,
! [SV191: $i,SV103: $i] :
( ( ( ~ ( lt @ SV103 @ SV191 ) )
= $true )
| ( ( ~ ( lt @ SV191 @ SV103 )
| ~ ( ssItem @ SV103 )
| ~ ( ssItem @ SV191 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1069,plain,
! [SV192: $i,SV104: $i] :
( ( ( SV104 != SV192 )
= $true )
| ( ( ~ ( neq @ SV104 @ SV192 )
| ~ ( ssList @ SV192 )
| ~ ( ssList @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(1070,plain,
! [SV193: $i,SV105: $i] :
( ( ( ( cons @ SV105 @ nil )
!= SV193 )
= $true )
| ( ( ~ ( ssItem @ SV105 )
| ~ ( ssList @ SV193 )
| ( singletonP @ SV193 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(1071,plain,
! [SV194: $i,SV106: $i] :
( ( ( SV106 != SV194 )
= $true )
| ( ( ~ ( neq @ SV106 @ SV194 )
| ~ ( ssItem @ SV194 )
| ~ ( ssItem @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(1072,plain,
! [SV195: $i,SV107: $i] :
( ( ( ( app @ SV107 @ SV195 )
!= nil )
= $true )
| ( ( ~ ( ssList @ SV195 )
| ~ ( ssList @ SV107 )
| ( nil = SV107 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(1073,plain,
! [SV196: $i,SV108: $i] :
( ( ( ( app @ SV108 @ SV196 )
!= nil )
= $true )
| ( ( ~ ( ssList @ SV196 )
| ~ ( ssList @ SV108 )
| ( nil = SV196 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(1074,plain,
! [SV109: $i] :
( ( ( ssItem @ SV109 )
= $false )
| ( ( ! [SY363: $i] :
( ~ ( ssList @ SY363 )
| ( ( app @ ( cons @ SV109 @ nil ) @ SY363 )
= ( cons @ SV109 @ SY363 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1075,plain,
! [SV197: $i,SV110: $i] :
( ( ( ~ ( leq @ SV110 @ SV197 ) )
= $true )
| ( ( ~ ( ssItem @ SV197 )
| ~ ( ssItem @ SV110 )
| ( SV110 = SV197 )
| ( lt @ SV110 @ SV197 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1076,plain,
! [SV198: $i,SV111: $i] :
( ( ( ~ ( leq @ SV111 @ SV198 ) )
= $true )
| ( ( ~ ( ssItem @ SV198 )
| ~ ( ssItem @ SV111 )
| ( SV111 = SV198 )
| ( lt @ SV111 @ SV198 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[942]) ).
thf(1077,plain,
! [SV112: $i] :
( ( ( ssList @ SV112 )
= $false )
| ( ( ! [SY366: $i] :
( ~ ( ssList @ SY366 )
| ( nil = SY366 )
| ( ( hd @ ( app @ SY366 @ SV112 ) )
= ( hd @ SY366 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1078,plain,
! [SV199: $i,SV113: $i] :
( ( ( ~ ( strictorderedP @ ( cons @ SV113 @ SV199 ) ) )
= $true )
| ( ( ~ ( ssList @ SV199 )
| ~ ( ssItem @ SV113 )
| ( nil = SV199 )
| ( strictorderedP @ SV199 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(1079,plain,
! [SV200: $i,SV114: $i] :
( ( ( ~ ( totalorderedP @ ( cons @ SV114 @ SV200 ) ) )
= $true )
| ( ( ~ ( ssList @ SV200 )
| ~ ( ssItem @ SV114 )
| ( nil = SV200 )
| ( totalorderedP @ SV200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(1080,plain,
! [SV201: $i,SV115: $i] :
( ( ( ~ ( geq @ SV115 @ SV201 ) )
= $true )
| ( ( ~ ( geq @ SV201 @ SV115 )
| ~ ( ssItem @ SV115 )
| ~ ( ssItem @ SV201 )
| ( SV201 = SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(1081,plain,
! [SV202: $i,SV116: $i] :
( ( ( ~ ( segmentP @ SV116 @ SV202 ) )
= $true )
| ( ( ~ ( segmentP @ SV202 @ SV116 )
| ~ ( ssList @ SV116 )
| ~ ( ssList @ SV202 )
| ( SV202 = SV116 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[947]) ).
thf(1082,plain,
! [SV203: $i,SV117: $i] :
( ( ( ~ ( rearsegP @ SV117 @ SV203 ) )
= $true )
| ( ( ~ ( rearsegP @ SV203 @ SV117 )
| ~ ( ssList @ SV117 )
| ~ ( ssList @ SV203 )
| ( SV203 = SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[948]) ).
thf(1083,plain,
! [SV204: $i,SV118: $i] :
( ( ( ~ ( frontsegP @ SV118 @ SV204 ) )
= $true )
| ( ( ~ ( frontsegP @ SV204 @ SV118 )
| ~ ( ssList @ SV118 )
| ~ ( ssList @ SV204 )
| ( SV204 = SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1084,plain,
! [SV205: $i,SV119: $i] :
( ( ( ~ ( leq @ SV119 @ SV205 ) )
= $true )
| ( ( ~ ( leq @ SV205 @ SV119 )
| ~ ( ssItem @ SV119 )
| ~ ( ssItem @ SV205 )
| ( SV205 = SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1085,plain,
! [SV206: $i,SV120: $i] :
( ( ( ~ ( rearsegP @ SV120 @ SV206 ) )
= $true )
| ( ( ~ ( ssList @ SV206 )
| ~ ( ssList @ SV120 )
| ( ( app @ ( skaf46 @ SV120 @ SV206 ) @ SV206 )
= SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1086,plain,
! [SV207: $i,SV121: $i] :
( ( ( ~ ( frontsegP @ SV121 @ SV207 ) )
= $true )
| ( ( ~ ( ssList @ SV207 )
| ~ ( ssList @ SV121 )
| ( ( app @ SV207 @ ( skaf45 @ SV121 @ SV207 ) )
= SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(1087,plain,
! [SV122: $i] :
( ( ( ssList @ SV122 )
= $false )
| ( ( ! [SY376: $i] :
( ~ ( ssList @ SY376 )
| ( nil = SY376 )
| ( ( tl @ ( app @ SY376 @ SV122 ) )
= ( app @ ( tl @ SY376 ) @ SV122 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1088,plain,
! [SV208: $i,SV123: $i] :
( ( ( ~ ( strictorderedP @ ( cons @ SV123 @ SV208 ) ) )
= $true )
| ( ( ~ ( ssList @ SV208 )
| ~ ( ssItem @ SV123 )
| ( nil = SV208 )
| ( lt @ SV123 @ ( hd @ SV208 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1089,plain,
! [SV209: $i,SV124: $i] :
( ( ( ~ ( totalorderedP @ ( cons @ SV124 @ SV209 ) ) )
= $true )
| ( ( ~ ( ssList @ SV209 )
| ~ ( ssItem @ SV124 )
| ( nil = SV209 )
| ( leq @ SV124 @ ( hd @ SV209 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(1090,plain,
! [SV210: $i,SV125: $i] :
( ( ( ~ ( rearsegP @ SV125 @ SV210 ) )
= $true )
| ( ( ! [SY487: $i] :
( ~ ( ssList @ SY487 )
| ~ ( ssList @ SV210 )
| ~ ( ssList @ SV125 )
| ( rearsegP @ ( app @ SY487 @ SV125 ) @ SV210 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(1091,plain,
! [SV211: $i,SV126: $i] :
( ( ( ~ ( frontsegP @ SV126 @ SV211 ) )
= $true )
| ( ( ! [SY488: $i] :
( ~ ( ssList @ SY488 )
| ~ ( ssList @ SV211 )
| ~ ( ssList @ SV126 )
| ( frontsegP @ ( app @ SV126 @ SY488 ) @ SV211 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1092,plain,
! [SV212: $i,SV127: $i] :
( ( ( SV127 != SV212 )
= $true )
| ( ( ! [SY489: $i] :
( ~ ( ssList @ SY489 )
| ~ ( ssItem @ SV212 )
| ~ ( ssItem @ SV127 )
| ( memberP @ ( cons @ SV212 @ SY489 ) @ SV127 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(1093,plain,
! [SV213: $i,SV128: $i] :
( ( ( ~ ( memberP @ SV128 @ SV213 ) )
= $true )
| ( ( ~ ( ssList @ SV128 )
| ! [SY490: $i] :
( ~ ( ssItem @ SY490 )
| ~ ( ssItem @ SV213 )
| ( memberP @ ( cons @ SY490 @ SV128 ) @ SV213 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[959]) ).
thf(1094,plain,
! [SV214: $i,SV129: $i] :
( ( ( ~ ( memberP @ SV129 @ SV214 ) )
= $true )
| ( ( ! [SY491: $i] :
( ~ ( ssList @ SY491 )
| ~ ( ssList @ SV129 )
| ~ ( ssItem @ SV214 )
| ( memberP @ ( app @ SV129 @ SY491 ) @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[960]) ).
thf(1095,plain,
! [SV215: $i,SV130: $i] :
( ( ( ~ ( memberP @ SV130 @ SV215 ) )
= $true )
| ( ( ~ ( ssList @ SV130 )
| ! [SY492: $i] :
( ~ ( ssList @ SY492 )
| ~ ( ssItem @ SV215 )
| ( memberP @ ( app @ SY492 @ SV130 ) @ SV215 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(1096,plain,
! [SV131: $i] :
( ( ( ssList @ SV131 )
= $false )
| ( ( ( ( app @ ( skaf80 @ SV131 ) @ ( cons @ ( skaf78 @ SV131 ) @ ( cons @ ( skaf79 @ SV131 ) @ ( skaf81 @ SV131 ) ) ) )
= SV131 )
| ( equalelemsP @ SV131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1097,plain,
! [SV251: $i,SV216: $i,SV132: $i] :
( ( ( ( app @ SV132 @ SV216 )
!= SV251 )
| ~ ( ssList @ SV132 )
| ~ ( ssList @ SV216 )
| ~ ( ssList @ SV251 )
| ( rearsegP @ SV251 @ SV216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1098,plain,
! [SV252: $i,SV217: $i,SV133: $i] :
( ( ( ( app @ SV133 @ SV217 )
!= SV252 )
| ~ ( ssList @ SV217 )
| ~ ( ssList @ SV133 )
| ~ ( ssList @ SV252 )
| ( frontsegP @ SV252 @ SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1099,plain,
! [SV134: $i] :
( ( ( nil = SV134 )
= $false )
| ( ( ! [SY395: $i] :
( ( nil != SY395 )
| ~ ( ssList @ SY395 )
| ~ ( ssList @ SV134 )
| ( ( app @ SV134 @ SY395 )
= nil ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1100,plain,
! [SV218: $i,SV135: $i] :
( ( ( ~ ( gt @ SV135 @ SV218 ) )
= $true )
| ( ( ! [SY495: $i] :
( ~ ( gt @ SV218 @ SY495 )
| ~ ( ssItem @ SY495 )
| ~ ( ssItem @ SV218 )
| ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SY495 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1101,plain,
! [SV219: $i,SV136: $i] :
( ( ( ~ ( leq @ SV136 @ SV219 ) )
= $true )
| ( ( ! [SY496: $i] :
( ~ ( lt @ SV219 @ SY496 )
| ~ ( ssItem @ SY496 )
| ~ ( ssItem @ SV219 )
| ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SY496 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1102,plain,
! [SV220: $i,SV137: $i] :
( ( ( ~ ( geq @ SV137 @ SV220 ) )
= $true )
| ( ( ! [SY497: $i] :
( ~ ( geq @ SV220 @ SY497 )
| ~ ( ssItem @ SY497 )
| ~ ( ssItem @ SV220 )
| ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SY497 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(1103,plain,
! [SV138: $i] :
( ( ( ssList @ SV138 )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( ssList @ SY402 )
| ! [SY403: $i] :
( ~ ( ssList @ SY403 )
| ( ( app @ ( app @ SY403 @ SY402 ) @ SV138 )
= ( app @ SY403 @ ( app @ SY402 @ SV138 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1104,plain,
! [SV253: $i,SV221: $i,SV139: $i] :
( ( ( ( app @ SV139 @ SV221 )
!= ( app @ SV139 @ SV253 ) )
| ~ ( ssList @ SV221 )
| ~ ( ssList @ SV139 )
| ~ ( ssList @ SV253 )
| ( SV221 = SV253 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1105,plain,
! [SV254: $i,SV222: $i,SV140: $i] :
( ( ( ( app @ SV140 @ SV222 )
!= ( app @ SV254 @ SV222 ) )
| ~ ( ssList @ SV140 )
| ~ ( ssList @ SV222 )
| ~ ( ssList @ SV254 )
| ( SV140 = SV254 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1106,plain,
! [SV223: $i,SV141: $i] :
( ( ( ~ ( segmentP @ SV141 @ SV223 ) )
= $true )
| ( ( ! [SY500: $i] :
( ~ ( segmentP @ SV223 @ SY500 )
| ~ ( ssList @ SY500 )
| ~ ( ssList @ SV223 )
| ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SY500 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1107,plain,
! [SV224: $i,SV142: $i] :
( ( ( ~ ( rearsegP @ SV142 @ SV224 ) )
= $true )
| ( ( ! [SY501: $i] :
( ~ ( rearsegP @ SV224 @ SY501 )
| ~ ( ssList @ SY501 )
| ~ ( ssList @ SV224 )
| ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SY501 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1108,plain,
! [SV225: $i,SV143: $i] :
( ( ( ~ ( frontsegP @ SV143 @ SV225 ) )
= $true )
| ( ( ! [SY502: $i] :
( ~ ( frontsegP @ SV225 @ SY502 )
| ~ ( ssList @ SY502 )
| ~ ( ssList @ SV225 )
| ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SY502 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(1109,plain,
! [SV226: $i,SV144: $i] :
( ( ( ~ ( lt @ SV144 @ SV226 ) )
= $true )
| ( ( ! [SY503: $i] :
( ~ ( lt @ SV226 @ SY503 )
| ~ ( ssItem @ SY503 )
| ~ ( ssItem @ SV226 )
| ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SY503 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1110,plain,
! [SV227: $i,SV145: $i] :
( ( ( ~ ( leq @ SV145 @ SV227 ) )
= $true )
| ( ( ! [SY504: $i] :
( ~ ( leq @ SV227 @ SY504 )
| ~ ( ssItem @ SY504 )
| ~ ( ssItem @ SV227 )
| ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SY504 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1111,plain,
! [SV146: $i] :
( ( ( ssItem @ SV146 )
= $false )
| ( ( ! [SY418: $i] :
( ~ ( ssList @ SY418 )
| ! [SY419: $i] :
( ~ ( ssList @ SY419 )
| ( ( cons @ SV146 @ ( app @ SY418 @ SY419 ) )
= ( app @ ( cons @ SV146 @ SY418 ) @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1112,plain,
! [SV255: $i,SV228: $i,SV147: $i] :
( ( ~ ( memberP @ ( app @ SV147 @ SV228 ) @ SV255 )
| ~ ( ssList @ SV228 )
| ~ ( ssList @ SV147 )
| ~ ( ssItem @ SV255 )
| ( memberP @ SV228 @ SV255 )
| ( memberP @ SV147 @ SV255 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(1113,plain,
! [SV229: $i,SV148: $i] :
( ( ( ~ ( leq @ SV148 @ ( hd @ SV229 ) ) )
= $true )
| ( ( ~ ( totalorderedP @ SV229 )
| ~ ( ssList @ SV229 )
| ~ ( ssItem @ SV148 )
| ( nil = SV229 )
| ( totalorderedP @ ( cons @ SV148 @ SV229 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1114,plain,
! [SV230: $i,SV149: $i] :
( ( ( ~ ( lt @ SV149 @ ( hd @ SV230 ) ) )
= $true )
| ( ( ~ ( strictorderedP @ SV230 )
| ~ ( ssList @ SV230 )
| ~ ( ssItem @ SV149 )
| ( nil = SV230 )
| ( strictorderedP @ ( cons @ SV149 @ SV230 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(1115,plain,
! [SV256: $i,SV231: $i,SV150: $i] :
( ( ~ ( memberP @ ( cons @ SV150 @ SV231 ) @ SV256 )
| ~ ( ssList @ SV231 )
| ~ ( ssItem @ SV150 )
| ~ ( ssItem @ SV256 )
| ( SV256 = SV150 )
| ( memberP @ SV231 @ SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1116,plain,
! [SV151: $i] :
( ( ( ssList @ SV151 )
= $false )
| ( ( ( ( app @ ( app @ ( skaf75 @ SV151 ) @ ( cons @ ( skaf74 @ SV151 ) @ ( skaf76 @ SV151 ) ) ) @ ( cons @ ( skaf74 @ SV151 ) @ ( skaf77 @ SV151 ) ) )
= SV151 )
| ( duplicatefreeP @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1117,plain,
! [SV152: $i] :
( ( ( ssList @ SV152 )
= $false )
| ( ( ( ( app @ ( app @ ( skaf71 @ SV152 ) @ ( cons @ ( skaf69 @ SV152 ) @ ( skaf72 @ SV152 ) ) ) @ ( cons @ ( skaf70 @ SV152 ) @ ( skaf73 @ SV152 ) ) )
= SV152 )
| ( strictorderedP @ SV152 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1118,plain,
! [SV153: $i] :
( ( ( ssList @ SV153 )
= $false )
| ( ( ( ( app @ ( app @ ( skaf66 @ SV153 ) @ ( cons @ ( skaf64 @ SV153 ) @ ( skaf67 @ SV153 ) ) ) @ ( cons @ ( skaf65 @ SV153 ) @ ( skaf68 @ SV153 ) ) )
= SV153 )
| ( totalorderedP @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1119,plain,
! [SV154: $i] :
( ( ( ssList @ SV154 )
= $false )
| ( ( ( ( app @ ( app @ ( skaf61 @ SV154 ) @ ( cons @ ( skaf59 @ SV154 ) @ ( skaf62 @ SV154 ) ) ) @ ( cons @ ( skaf60 @ SV154 ) @ ( skaf63 @ SV154 ) ) )
= SV154 )
| ( strictorderP @ SV154 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1120,plain,
! [SV155: $i] :
( ( ( ssList @ SV155 )
= $false )
| ( ( ( ( app @ ( app @ ( skaf56 @ SV155 ) @ ( cons @ ( skaf54 @ SV155 ) @ ( skaf57 @ SV155 ) ) ) @ ( cons @ ( skaf55 @ SV155 ) @ ( skaf58 @ SV155 ) ) )
= SV155 )
| ( totalorderP @ SV155 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1121,plain,
! [SV156: $i] :
( ( ( ssList @ SV156 )
= $false )
| ( ( ( ( app @ ( app @ ( skaf51 @ SV156 ) @ ( cons @ ( skaf49 @ SV156 ) @ ( skaf52 @ SV156 ) ) ) @ ( cons @ ( skaf50 @ SV156 ) @ ( skaf53 @ SV156 ) ) )
= SV156 )
| ( cyclefreeP @ SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1122,plain,
! [SV232: $i,SV157: $i] :
( ( ( ~ ( segmentP @ SV157 @ SV232 ) )
= $true )
| ( ( ~ ( ssList @ SV232 )
| ~ ( ssList @ SV157 )
| ( ( app @ ( app @ ( skaf47 @ SV157 @ SV232 ) @ SV232 ) @ ( skaf48 @ SV232 @ SV157 ) )
= SV157 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1123,plain,
! [SV233: $i,SV158: $i] :
( ( ( ~ ( memberP @ SV158 @ SV233 ) )
= $true )
| ( ( ~ ( ssItem @ SV233 )
| ~ ( ssList @ SV158 )
| ( ( app @ ( skaf42 @ SV158 @ SV233 ) @ ( cons @ SV233 @ ( skaf43 @ SV233 @ SV158 ) ) )
= SV158 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1124,plain,
! [SV257: $i,SV234: $i,SV159: $i] :
( ( ! [SY550: $i] :
( ( ( cons @ SV159 @ SV234 )
!= ( cons @ SV257 @ SY550 ) )
| ~ ( ssItem @ SV257 )
| ~ ( ssItem @ SV159 )
| ~ ( ssList @ SY550 )
| ~ ( ssList @ SV234 )
| ( SV159 = SV257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[990]) ).
thf(1125,plain,
! [SV258: $i,SV235: $i,SV160: $i] :
( ( ! [SY551: $i] :
( ( ( cons @ SV160 @ SV235 )
!= ( cons @ SV258 @ SY551 ) )
| ~ ( ssItem @ SV258 )
| ~ ( ssItem @ SV160 )
| ~ ( ssList @ SY551 )
| ~ ( ssList @ SV235 )
| ( SY551 = SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1126,plain,
! [SV236: $i,SV161: $i] :
( ( ( ~ ( segmentP @ SV161 @ SV236 ) )
= $true )
| ( ( ! [SY511: $i] :
( ~ ( ssList @ SY511 )
| ! [SY512: $i] :
( ~ ( ssList @ SY512 )
| ~ ( ssList @ SV236 )
| ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SY512 @ SV161 ) @ SY511 ) @ SV236 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[992]) ).
thf(1127,plain,
! [SV259: $i,SV237: $i,SV162: $i] :
( ( ! [SY552: $i] :
( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
!= SY552 )
| ~ ( ssList @ SV259 )
| ~ ( ssList @ SV162 )
| ~ ( ssList @ SV237 )
| ~ ( ssList @ SY552 )
| ( segmentP @ SY552 @ SV237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1128,plain,
! [SV260: $i,SV238: $i,SV163: $i] :
( ( ! [SY553: $i] :
( ~ ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SY553 ) )
| ~ ( ssList @ SY553 )
| ~ ( ssList @ SV238 )
| ~ ( ssItem @ SV260 )
| ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SY553 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1129,plain,
! [SV261: $i,SV239: $i,SV164: $i] :
( ( ! [SY554: $i] :
( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
!= SY554 )
| ~ ( ssList @ SV261 )
| ~ ( ssList @ SV164 )
| ~ ( ssItem @ SV239 )
| ~ ( ssList @ SY554 )
| ( memberP @ SY554 @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1130,plain,
! [SV262: $i,SV240: $i,SV165: $i] :
( ( ! [SY555: $i] :
( ~ ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SY555 ) )
| ~ ( ssList @ SY555 )
| ~ ( ssList @ SV240 )
| ~ ( ssItem @ SV262 )
| ~ ( ssItem @ SV165 )
| ( SV165 = SV262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1131,plain,
! [SV241: $i,SV166: $i] :
( ( ( ( tl @ SV166 )
!= ( tl @ SV241 ) )
= $true )
| ( ( ( ( hd @ SV166 )
!= ( hd @ SV241 ) )
| ~ ( ssList @ SV166 )
| ~ ( ssList @ SV241 )
| ( nil = SV241 )
| ( SV166 = SV241 )
| ( nil = SV166 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[997]) ).
thf(1132,plain,
! [SV242: $i,SV167: $i] :
( ( ( ~ ( frontsegP @ SV167 @ SV242 ) )
= $true )
| ( ( ! [SY521: $i,SY522: $i] :
( ( SY521 != SY522 )
| ~ ( ssList @ SV242 )
| ~ ( ssList @ SV167 )
| ~ ( ssItem @ SY522 )
| ~ ( ssItem @ SY521 )
| ( frontsegP @ ( cons @ SY521 @ SV167 ) @ ( cons @ SY522 @ SV242 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1133,plain,
! [SV263: $i,SV243: $i,SV168: $i] :
( ( ! [SY556: $i,SY557: $i] :
( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SY556 ) )
!= SY557 )
| ~ ( ssList @ SY556 )
| ~ ( ssList @ SV263 )
| ~ ( ssList @ SV168 )
| ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SY557 )
| ~ ( ssList @ SY557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1134,plain,
! [SV264: $i,SV244: $i,SV169: $i] :
( ( ! [SY558: $i,SY559: $i] :
( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SY558 ) ) )
!= SY559 )
| ~ ( ssList @ SY558 )
| ~ ( ssList @ SV169 )
| ~ ( ssItem @ SV264 )
| ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SY559 )
| ~ ( ssList @ SY559 )
| ( SV244 = SV264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1135,plain,
! [SV265: $i,SV245: $i,SV170: $i] :
( ( ! [SY560: $i,SY561: $i,SY562: $i] :
( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SY560 @ SY561 ) )
!= SY562 )
| ~ ( ssList @ SY561 )
| ~ ( ssList @ SV265 )
| ~ ( ssList @ SV170 )
| ~ ( ssItem @ SY560 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SY562 )
| ~ ( ssList @ SY562 )
| ( lt @ SV245 @ SY560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1001]) ).
thf(1136,plain,
! [SV266: $i,SV246: $i,SV171: $i] :
( ( ! [SY563: $i,SY564: $i,SY565: $i] :
( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SY563 @ SY564 ) )
!= SY565 )
| ~ ( ssList @ SY564 )
| ~ ( ssList @ SV266 )
| ~ ( ssList @ SV171 )
| ~ ( ssItem @ SY563 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SY565 )
| ~ ( ssList @ SY565 )
| ( leq @ SV246 @ SY563 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1002]) ).
thf(1137,plain,
! [SV267: $i,SV247: $i,SV172: $i] :
( ( ! [SY566: $i,SY567: $i,SY568: $i] :
( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SY566 @ SY567 ) )
!= SY568 )
| ~ ( ssList @ SY567 )
| ~ ( ssList @ SV267 )
| ~ ( ssList @ SV172 )
| ~ ( ssItem @ SY566 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SY568 )
| ~ ( ssList @ SY568 )
| ( lt @ SV247 @ SY566 )
| ( lt @ SY566 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1138,plain,
! [SV268: $i,SV248: $i,SV173: $i] :
( ( ! [SY569: $i,SY570: $i,SY571: $i] :
( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SY569 @ SY570 ) )
!= SY571 )
| ~ ( ssList @ SY570 )
| ~ ( ssList @ SV268 )
| ~ ( ssList @ SV173 )
| ~ ( ssItem @ SY569 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SY571 )
| ~ ( ssList @ SY571 )
| ( leq @ SV248 @ SY569 )
| ( leq @ SY569 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1139,plain,
! [SV269: $i,SV249: $i,SV174: $i] :
( ( ! [SY572: $i] :
( ~ ( leq @ SV174 @ SV249 )
| ~ ( leq @ SV249 @ SV174 )
| ! [SY573: $i,SY574: $i] :
( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SY572 ) ) @ ( cons @ SV249 @ SY573 ) )
!= SY574 )
| ~ ( ssList @ SY573 )
| ~ ( ssList @ SY572 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SY574 )
| ~ ( ssList @ SY574 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1140,plain,
! [SV1: $i,SV270: $i] :
( ( ( ~ ( ssList @ SV270 )
| ( ( app @ ( cons @ SV1 @ nil ) @ SV270 )
!= sk4 )
| ( ( app @ SV270 @ ( cons @ SV1 @ nil ) )
= sk3 ) )
= $true )
| ( ( ssItem @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1141,plain,
! [SV175: $i] :
( ( ( ssItem @ SV175 )
= $false )
| ( ( ! [SY486: $i] :
( ~ ( ssList @ SY486 )
| ( ( app @ ( cons @ SV175 @ nil ) @ SY486 )
!= sk2 )
| ( ( app @ SY486 @ ( cons @ SV175 @ nil ) )
!= sk1 ) ) )
= $true )
| ( ( nil = sk2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1142,plain,
! [SV250: $i] :
( ( ( ~ ( ssItem @ SV250 ) )
= $true )
| ( ( ! [SY549: $i] :
( ~ ( ssList @ SY549 )
| ( ( app @ ( cons @ SV250 @ nil ) @ SY549 )
!= sk2 )
| ( ( app @ SY549 @ ( cons @ SV250 @ nil ) )
!= sk1 ) ) )
= $true )
| ( ( nil = sk1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1143,plain,
! [SV52: $i] :
( ( ( ssItem @ SV52 )
= $false )
| ( ( lt @ SV52 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1144,plain,
! [SV60: $i] :
( ( ( ssItem @ SV60 )
= $false )
| ( ( memberP @ nil @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1145,plain,
! [SV61: $i] :
( ( ( duplicatefreeP @ SV61 )
= $true )
| ( ( ! [V: $i] : ( ssItem @ V ) )
= $true )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1146,plain,
! [SV64: $i] :
( ( ( nil = SV64 )
= $true )
| ( ( ssList @ ( tl @ SV64 ) )
= $true )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1029]) ).
thf(1147,plain,
! [SV65: $i] :
( ( ( nil = SV65 )
= $true )
| ( ( ssItem @ ( hd @ SV65 ) )
= $true )
| ( ( ssList @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1148,plain,
! [SV66: $i] :
( ( ( nil = SV66 )
= $true )
| ( ( ssList @ ( tl @ SV66 ) )
= $true )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1149,plain,
! [SV67: $i] :
( ( ( nil = SV67 )
= $true )
| ( ( ssItem @ ( hd @ SV67 ) )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1150,plain,
! [SV68: $i] :
( ( ( ~ ( ssList @ SV68 ) )
= $true )
| ( ( segmentP @ nil @ SV68 )
= $true )
| ( ( nil = SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1033]) ).
thf(1151,plain,
! [SV69: $i] :
( ( ( ~ ( ssList @ SV69 ) )
= $true )
| ( ( nil = SV69 )
= $true )
| ( ( segmentP @ nil @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1152,plain,
! [SV70: $i] :
( ( ( ~ ( ssList @ SV70 ) )
= $true )
| ( ( rearsegP @ nil @ SV70 )
= $true )
| ( ( nil = SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1035]) ).
thf(1153,plain,
! [SV71: $i] :
( ( ( ~ ( ssList @ SV71 ) )
= $true )
| ( ( nil = SV71 )
= $true )
| ( ( rearsegP @ nil @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1154,plain,
! [SV72: $i] :
( ( ( ~ ( ssList @ SV72 ) )
= $true )
| ( ( frontsegP @ nil @ SV72 )
= $true )
| ( ( nil = SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1037]) ).
thf(1155,plain,
! [SV73: $i] :
( ( ( ~ ( ssList @ SV73 ) )
= $true )
| ( ( nil = SV73 )
= $true )
| ( ( frontsegP @ nil @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1156,plain,
! [SV74: $i,SV271: $i] :
( ( ( ~ ( ssList @ SV271 )
| ( ssList @ ( app @ SV271 @ SV74 ) ) )
= $true )
| ( ( ssList @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1039]) ).
thf(1157,plain,
! [SV75: $i,SV272: $i] :
( ( ( ~ ( ssList @ SV272 )
| ( ssList @ ( cons @ SV75 @ SV272 ) ) )
= $true )
| ( ( ssItem @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1158,plain,
! [SV76: $i] :
( ( ( cyclefreeP @ SV76 )
= $true )
| ( ( leq @ ( skaf50 @ SV76 ) @ ( skaf49 @ SV76 ) )
= $true )
| ( ( ssList @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1041]) ).
thf(1159,plain,
! [SV77: $i] :
( ( ( cyclefreeP @ SV77 )
= $true )
| ( ( leq @ ( skaf49 @ SV77 ) @ ( skaf50 @ SV77 ) )
= $true )
| ( ( ssList @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1160,plain,
! [SV78: $i] :
( ( ( ~ ( ssList @ SV78 ) )
= $true )
| ( ( equalelemsP @ SV78 )
= $true )
| ( ( ( skaf79 @ SV78 )
= ( skaf78 @ SV78 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1161,plain,
! [SV79: $i] :
( ( ( ~ ( ssList @ SV79 ) )
= $true )
| ( ( strictorderedP @ SV79 )
= $true )
| ( ( lt @ ( skaf69 @ SV79 ) @ ( skaf70 @ SV79 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1162,plain,
! [SV80: $i] :
( ( ( ~ ( ssList @ SV80 ) )
= $true )
| ( ( totalorderedP @ SV80 )
= $true )
| ( ( leq @ ( skaf64 @ SV80 ) @ ( skaf65 @ SV80 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1163,plain,
! [SV81: $i] :
( ( ( ~ ( ssList @ SV81 ) )
= $true )
| ( ( strictorderP @ SV81 )
= $true )
| ( ( lt @ ( skaf60 @ SV81 ) @ ( skaf59 @ SV81 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1046]) ).
thf(1164,plain,
! [SV82: $i] :
( ( ( ~ ( ssList @ SV82 ) )
= $true )
| ( ( strictorderP @ SV82 )
= $true )
| ( ( lt @ ( skaf59 @ SV82 ) @ ( skaf60 @ SV82 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1165,plain,
! [SV83: $i] :
( ( ( ~ ( ssList @ SV83 ) )
= $true )
| ( ( totalorderP @ SV83 )
= $true )
| ( ( leq @ ( skaf55 @ SV83 ) @ ( skaf54 @ SV83 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1166,plain,
! [SV84: $i] :
( ( ( ~ ( ssList @ SV84 ) )
= $true )
| ( ( totalorderP @ SV84 )
= $true )
| ( ( leq @ ( skaf54 @ SV84 ) @ ( skaf55 @ SV84 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1167,plain,
! [SV85: $i,SV273: $i] :
( ( ( ~ ( ssList @ SV273 )
| ( ( tl @ ( cons @ SV85 @ SV273 ) )
= SV273 ) )
= $true )
| ( ( ssItem @ SV85 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1168,plain,
! [SV86: $i,SV274: $i] :
( ( ( ~ ( ssList @ SV274 )
| ( ( hd @ ( cons @ SV86 @ SV274 ) )
= SV86 ) )
= $true )
| ( ( ssItem @ SV86 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1051]) ).
thf(1169,plain,
! [SV182: $i,SV87: $i] :
( ( ( ( cons @ SV87 @ SV182 )
= nil )
= $false )
| ( ( ~ ( ssItem @ SV87 )
| ~ ( ssList @ SV182 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1170,plain,
! [SV183: $i,SV88: $i] :
( ( ( ( cons @ SV88 @ SV183 )
= SV183 )
= $false )
| ( ( ~ ( ssItem @ SV88 )
| ~ ( ssList @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1171,plain,
! [SV89: $i,SV275: $i] :
( ( ( ~ ( ssList @ SV275 )
| ( SV275 = SV89 )
| ( neq @ SV275 @ SV89 ) )
= $true )
| ( ( ssList @ SV89 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1054]) ).
thf(1172,plain,
! [SV90: $i] :
( ( ( ~ ( ssList @ SV90 ) )
= $true )
| ( ( ( cons @ ( skaf44 @ SV90 ) @ nil )
= SV90 )
= $true )
| ( ( singletonP @ SV90 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1173,plain,
! [SV91: $i,SV276: $i] :
( ( ( ~ ( ssItem @ SV276 )
| ( SV276 = SV91 )
| ( neq @ SV276 @ SV91 ) )
= $true )
| ( ( ssItem @ SV91 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1056]) ).
thf(1174,plain,
! [SV184: $i,SV92: $i] :
( ( ( lt @ SV92 @ SV184 )
= $false )
| ( ( ~ ( ssItem @ SV184 )
| ~ ( ssItem @ SV92 )
| ( leq @ SV92 @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1175,plain,
! [SV93: $i] :
( ( ( ( cons @ ( hd @ SV93 ) @ ( tl @ SV93 ) )
= SV93 )
= $true )
| ( ( nil = SV93 )
= $true )
| ( ( ssList @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1176,plain,
! [SV185: $i,SV94: $i] :
( ( ( gt @ SV94 @ SV185 )
= $false )
| ( ( ~ ( ssItem @ SV185 )
| ~ ( ssItem @ SV94 )
| ( lt @ SV185 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1177,plain,
! [SV186: $i,SV95: $i] :
( ( ( lt @ SV95 @ SV186 )
= $false )
| ( ( ~ ( ssItem @ SV95 )
| ~ ( ssItem @ SV186 )
| ( gt @ SV186 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1178,plain,
! [SV187: $i,SV96: $i] :
( ( ( geq @ SV96 @ SV187 )
= $false )
| ( ( ~ ( ssItem @ SV187 )
| ~ ( ssItem @ SV96 )
| ( leq @ SV187 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1061]) ).
thf(1179,plain,
! [SV188: $i,SV97: $i] :
( ( ( leq @ SV97 @ SV188 )
= $false )
| ( ( ~ ( ssItem @ SV97 )
| ~ ( ssItem @ SV188 )
| ( geq @ SV188 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1180,plain,
! [SV98: $i] :
( ( ( ( cons @ ( skaf83 @ SV98 ) @ ( skaf82 @ SV98 ) )
= SV98 )
= $true )
| ( ( nil = SV98 )
= $true )
| ( ( ssList @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1181,plain,
! [SV189: $i,SV99: $i] :
( ( ( gt @ SV99 @ SV189 )
= $false )
| ( ( ~ ( gt @ SV189 @ SV99 )
| ~ ( ssItem @ SV99 )
| ~ ( ssItem @ SV189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1182,plain,
! [SV190: $i,SV100: $i] :
( ( ( SV100 = SV190 )
= $false )
| ( ( ~ ( lt @ SV100 @ SV190 )
| ~ ( ssItem @ SV190 )
| ~ ( ssItem @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1183,plain,
! [SV101: $i] :
( ( ( ~ ( ssList @ SV101 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( ssItem @ SY355 )
| ( strictorderedP @ ( cons @ SY355 @ SV101 ) ) ) )
= $true )
| ( ( nil = SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1184,plain,
! [SV102: $i] :
( ( ( ~ ( ssList @ SV102 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( ssItem @ SY356 )
| ( totalorderedP @ ( cons @ SY356 @ SV102 ) ) ) )
= $true )
| ( ( nil = SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1185,plain,
! [SV191: $i,SV103: $i] :
( ( ( lt @ SV103 @ SV191 )
= $false )
| ( ( ~ ( lt @ SV191 @ SV103 )
| ~ ( ssItem @ SV103 )
| ~ ( ssItem @ SV191 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1186,plain,
! [SV192: $i,SV104: $i] :
( ( ( SV104 = SV192 )
= $false )
| ( ( ~ ( neq @ SV104 @ SV192 )
| ~ ( ssList @ SV192 )
| ~ ( ssList @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1187,plain,
! [SV193: $i,SV105: $i] :
( ( ( ( cons @ SV105 @ nil )
= SV193 )
= $false )
| ( ( ~ ( ssItem @ SV105 )
| ~ ( ssList @ SV193 )
| ( singletonP @ SV193 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1188,plain,
! [SV194: $i,SV106: $i] :
( ( ( SV106 = SV194 )
= $false )
| ( ( ~ ( neq @ SV106 @ SV194 )
| ~ ( ssItem @ SV194 )
| ~ ( ssItem @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1189,plain,
! [SV195: $i,SV107: $i] :
( ( ( ( app @ SV107 @ SV195 )
= nil )
= $false )
| ( ( ~ ( ssList @ SV195 )
| ~ ( ssList @ SV107 )
| ( nil = SV107 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1190,plain,
! [SV196: $i,SV108: $i] :
( ( ( ( app @ SV108 @ SV196 )
= nil )
= $false )
| ( ( ~ ( ssList @ SV196 )
| ~ ( ssList @ SV108 )
| ( nil = SV196 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1191,plain,
! [SV109: $i,SV277: $i] :
( ( ( ~ ( ssList @ SV277 )
| ( ( app @ ( cons @ SV109 @ nil ) @ SV277 )
= ( cons @ SV109 @ SV277 ) ) )
= $true )
| ( ( ssItem @ SV109 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1192,plain,
! [SV197: $i,SV110: $i] :
( ( ( leq @ SV110 @ SV197 )
= $false )
| ( ( ~ ( ssItem @ SV197 )
| ~ ( ssItem @ SV110 )
| ( SV110 = SV197 )
| ( lt @ SV110 @ SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1193,plain,
! [SV198: $i,SV111: $i] :
( ( ( leq @ SV111 @ SV198 )
= $false )
| ( ( ~ ( ssItem @ SV198 )
| ~ ( ssItem @ SV111 )
| ( SV111 = SV198 )
| ( lt @ SV111 @ SV198 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1194,plain,
! [SV112: $i,SV278: $i] :
( ( ( ~ ( ssList @ SV278 )
| ( nil = SV278 )
| ( ( hd @ ( app @ SV278 @ SV112 ) )
= ( hd @ SV278 ) ) )
= $true )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1077]) ).
thf(1195,plain,
! [SV199: $i,SV113: $i] :
( ( ( strictorderedP @ ( cons @ SV113 @ SV199 ) )
= $false )
| ( ( ~ ( ssList @ SV199 )
| ~ ( ssItem @ SV113 )
| ( nil = SV199 )
| ( strictorderedP @ SV199 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1196,plain,
! [SV200: $i,SV114: $i] :
( ( ( totalorderedP @ ( cons @ SV114 @ SV200 ) )
= $false )
| ( ( ~ ( ssList @ SV200 )
| ~ ( ssItem @ SV114 )
| ( nil = SV200 )
| ( totalorderedP @ SV200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1197,plain,
! [SV201: $i,SV115: $i] :
( ( ( geq @ SV115 @ SV201 )
= $false )
| ( ( ~ ( geq @ SV201 @ SV115 )
| ~ ( ssItem @ SV115 )
| ~ ( ssItem @ SV201 )
| ( SV201 = SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1198,plain,
! [SV202: $i,SV116: $i] :
( ( ( segmentP @ SV116 @ SV202 )
= $false )
| ( ( ~ ( segmentP @ SV202 @ SV116 )
| ~ ( ssList @ SV116 )
| ~ ( ssList @ SV202 )
| ( SV202 = SV116 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1199,plain,
! [SV203: $i,SV117: $i] :
( ( ( rearsegP @ SV117 @ SV203 )
= $false )
| ( ( ~ ( rearsegP @ SV203 @ SV117 )
| ~ ( ssList @ SV117 )
| ~ ( ssList @ SV203 )
| ( SV203 = SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1200,plain,
! [SV204: $i,SV118: $i] :
( ( ( frontsegP @ SV118 @ SV204 )
= $false )
| ( ( ~ ( frontsegP @ SV204 @ SV118 )
| ~ ( ssList @ SV118 )
| ~ ( ssList @ SV204 )
| ( SV204 = SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1201,plain,
! [SV205: $i,SV119: $i] :
( ( ( leq @ SV119 @ SV205 )
= $false )
| ( ( ~ ( leq @ SV205 @ SV119 )
| ~ ( ssItem @ SV119 )
| ~ ( ssItem @ SV205 )
| ( SV205 = SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1202,plain,
! [SV206: $i,SV120: $i] :
( ( ( rearsegP @ SV120 @ SV206 )
= $false )
| ( ( ~ ( ssList @ SV206 )
| ~ ( ssList @ SV120 )
| ( ( app @ ( skaf46 @ SV120 @ SV206 ) @ SV206 )
= SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1203,plain,
! [SV207: $i,SV121: $i] :
( ( ( frontsegP @ SV121 @ SV207 )
= $false )
| ( ( ~ ( ssList @ SV207 )
| ~ ( ssList @ SV121 )
| ( ( app @ SV207 @ ( skaf45 @ SV121 @ SV207 ) )
= SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1204,plain,
! [SV122: $i,SV279: $i] :
( ( ( ~ ( ssList @ SV279 )
| ( nil = SV279 )
| ( ( tl @ ( app @ SV279 @ SV122 ) )
= ( app @ ( tl @ SV279 ) @ SV122 ) ) )
= $true )
| ( ( ssList @ SV122 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1205,plain,
! [SV208: $i,SV123: $i] :
( ( ( strictorderedP @ ( cons @ SV123 @ SV208 ) )
= $false )
| ( ( ~ ( ssList @ SV208 )
| ~ ( ssItem @ SV123 )
| ( nil = SV208 )
| ( lt @ SV123 @ ( hd @ SV208 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1206,plain,
! [SV209: $i,SV124: $i] :
( ( ( totalorderedP @ ( cons @ SV124 @ SV209 ) )
= $false )
| ( ( ~ ( ssList @ SV209 )
| ~ ( ssItem @ SV124 )
| ( nil = SV209 )
| ( leq @ SV124 @ ( hd @ SV209 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1207,plain,
! [SV210: $i,SV125: $i] :
( ( ( rearsegP @ SV125 @ SV210 )
= $false )
| ( ( ! [SY487: $i] :
( ~ ( ssList @ SY487 )
| ~ ( ssList @ SV210 )
| ~ ( ssList @ SV125 )
| ( rearsegP @ ( app @ SY487 @ SV125 ) @ SV210 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1208,plain,
! [SV211: $i,SV126: $i] :
( ( ( frontsegP @ SV126 @ SV211 )
= $false )
| ( ( ! [SY488: $i] :
( ~ ( ssList @ SY488 )
| ~ ( ssList @ SV211 )
| ~ ( ssList @ SV126 )
| ( frontsegP @ ( app @ SV126 @ SY488 ) @ SV211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1209,plain,
! [SV212: $i,SV127: $i] :
( ( ( SV127 = SV212 )
= $false )
| ( ( ! [SY489: $i] :
( ~ ( ssList @ SY489 )
| ~ ( ssItem @ SV212 )
| ~ ( ssItem @ SV127 )
| ( memberP @ ( cons @ SV212 @ SY489 ) @ SV127 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1210,plain,
! [SV213: $i,SV128: $i] :
( ( ( memberP @ SV128 @ SV213 )
= $false )
| ( ( ~ ( ssList @ SV128 )
| ! [SY490: $i] :
( ~ ( ssItem @ SY490 )
| ~ ( ssItem @ SV213 )
| ( memberP @ ( cons @ SY490 @ SV128 ) @ SV213 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1211,plain,
! [SV214: $i,SV129: $i] :
( ( ( memberP @ SV129 @ SV214 )
= $false )
| ( ( ! [SY491: $i] :
( ~ ( ssList @ SY491 )
| ~ ( ssList @ SV129 )
| ~ ( ssItem @ SV214 )
| ( memberP @ ( app @ SV129 @ SY491 ) @ SV214 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1212,plain,
! [SV215: $i,SV130: $i] :
( ( ( memberP @ SV130 @ SV215 )
= $false )
| ( ( ~ ( ssList @ SV130 )
| ! [SY492: $i] :
( ~ ( ssList @ SY492 )
| ~ ( ssItem @ SV215 )
| ( memberP @ ( app @ SY492 @ SV130 ) @ SV215 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1213,plain,
! [SV131: $i] :
( ( ( ( app @ ( skaf80 @ SV131 ) @ ( cons @ ( skaf78 @ SV131 ) @ ( cons @ ( skaf79 @ SV131 ) @ ( skaf81 @ SV131 ) ) ) )
= SV131 )
= $true )
| ( ( equalelemsP @ SV131 )
= $true )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1214,plain,
! [SV251: $i,SV216: $i,SV132: $i] :
( ( ( ( app @ SV132 @ SV216 )
!= SV251 )
= $true )
| ( ( ~ ( ssList @ SV132 )
| ~ ( ssList @ SV216 )
| ~ ( ssList @ SV251 )
| ( rearsegP @ SV251 @ SV216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1097]) ).
thf(1215,plain,
! [SV252: $i,SV217: $i,SV133: $i] :
( ( ( ( app @ SV133 @ SV217 )
!= SV252 )
= $true )
| ( ( ~ ( ssList @ SV217 )
| ~ ( ssList @ SV133 )
| ~ ( ssList @ SV252 )
| ( frontsegP @ SV252 @ SV133 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1216,plain,
! [SV134: $i,SV280: $i] :
( ( ( ( nil != SV280 )
| ~ ( ssList @ SV280 )
| ~ ( ssList @ SV134 )
| ( ( app @ SV134 @ SV280 )
= nil ) )
= $true )
| ( ( nil = SV134 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1099]) ).
thf(1217,plain,
! [SV218: $i,SV135: $i] :
( ( ( gt @ SV135 @ SV218 )
= $false )
| ( ( ! [SY495: $i] :
( ~ ( gt @ SV218 @ SY495 )
| ~ ( ssItem @ SY495 )
| ~ ( ssItem @ SV218 )
| ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SY495 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1218,plain,
! [SV219: $i,SV136: $i] :
( ( ( leq @ SV136 @ SV219 )
= $false )
| ( ( ! [SY496: $i] :
( ~ ( lt @ SV219 @ SY496 )
| ~ ( ssItem @ SY496 )
| ~ ( ssItem @ SV219 )
| ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SY496 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1219,plain,
! [SV220: $i,SV137: $i] :
( ( ( geq @ SV137 @ SV220 )
= $false )
| ( ( ! [SY497: $i] :
( ~ ( geq @ SV220 @ SY497 )
| ~ ( ssItem @ SY497 )
| ~ ( ssItem @ SV220 )
| ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SY497 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1220,plain,
! [SV138: $i,SV281: $i] :
( ( ( ~ ( ssList @ SV281 )
| ! [SY575: $i] :
( ~ ( ssList @ SY575 )
| ( ( app @ ( app @ SY575 @ SV281 ) @ SV138 )
= ( app @ SY575 @ ( app @ SV281 @ SV138 ) ) ) ) )
= $true )
| ( ( ssList @ SV138 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1103]) ).
thf(1221,plain,
! [SV253: $i,SV221: $i,SV139: $i] :
( ( ( ( app @ SV139 @ SV221 )
!= ( app @ SV139 @ SV253 ) )
= $true )
| ( ( ~ ( ssList @ SV221 )
| ~ ( ssList @ SV139 )
| ~ ( ssList @ SV253 )
| ( SV221 = SV253 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1104]) ).
thf(1222,plain,
! [SV254: $i,SV222: $i,SV140: $i] :
( ( ( ( app @ SV140 @ SV222 )
!= ( app @ SV254 @ SV222 ) )
= $true )
| ( ( ~ ( ssList @ SV140 )
| ~ ( ssList @ SV222 )
| ~ ( ssList @ SV254 )
| ( SV140 = SV254 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1105]) ).
thf(1223,plain,
! [SV223: $i,SV141: $i] :
( ( ( segmentP @ SV141 @ SV223 )
= $false )
| ( ( ! [SY500: $i] :
( ~ ( segmentP @ SV223 @ SY500 )
| ~ ( ssList @ SY500 )
| ~ ( ssList @ SV223 )
| ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SY500 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1224,plain,
! [SV224: $i,SV142: $i] :
( ( ( rearsegP @ SV142 @ SV224 )
= $false )
| ( ( ! [SY501: $i] :
( ~ ( rearsegP @ SV224 @ SY501 )
| ~ ( ssList @ SY501 )
| ~ ( ssList @ SV224 )
| ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SY501 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1225,plain,
! [SV225: $i,SV143: $i] :
( ( ( frontsegP @ SV143 @ SV225 )
= $false )
| ( ( ! [SY502: $i] :
( ~ ( frontsegP @ SV225 @ SY502 )
| ~ ( ssList @ SY502 )
| ~ ( ssList @ SV225 )
| ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SY502 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1226,plain,
! [SV226: $i,SV144: $i] :
( ( ( lt @ SV144 @ SV226 )
= $false )
| ( ( ! [SY503: $i] :
( ~ ( lt @ SV226 @ SY503 )
| ~ ( ssItem @ SY503 )
| ~ ( ssItem @ SV226 )
| ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SY503 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1227,plain,
! [SV227: $i,SV145: $i] :
( ( ( leq @ SV145 @ SV227 )
= $false )
| ( ( ! [SY504: $i] :
( ~ ( leq @ SV227 @ SY504 )
| ~ ( ssItem @ SY504 )
| ~ ( ssItem @ SV227 )
| ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SY504 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1228,plain,
! [SV146: $i,SV282: $i] :
( ( ( ~ ( ssList @ SV282 )
| ! [SY576: $i] :
( ~ ( ssList @ SY576 )
| ( ( cons @ SV146 @ ( app @ SV282 @ SY576 ) )
= ( app @ ( cons @ SV146 @ SV282 ) @ SY576 ) ) ) )
= $true )
| ( ( ssItem @ SV146 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1111]) ).
thf(1229,plain,
! [SV255: $i,SV228: $i,SV147: $i] :
( ( ( ~ ( memberP @ ( app @ SV147 @ SV228 ) @ SV255 ) )
= $true )
| ( ( ~ ( ssList @ SV228 )
| ~ ( ssList @ SV147 )
| ~ ( ssItem @ SV255 )
| ( memberP @ SV228 @ SV255 )
| ( memberP @ SV147 @ SV255 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1112]) ).
thf(1230,plain,
! [SV229: $i,SV148: $i] :
( ( ( leq @ SV148 @ ( hd @ SV229 ) )
= $false )
| ( ( ~ ( totalorderedP @ SV229 )
| ~ ( ssList @ SV229 )
| ~ ( ssItem @ SV148 )
| ( nil = SV229 )
| ( totalorderedP @ ( cons @ SV148 @ SV229 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1231,plain,
! [SV230: $i,SV149: $i] :
( ( ( lt @ SV149 @ ( hd @ SV230 ) )
= $false )
| ( ( ~ ( strictorderedP @ SV230 )
| ~ ( ssList @ SV230 )
| ~ ( ssItem @ SV149 )
| ( nil = SV230 )
| ( strictorderedP @ ( cons @ SV149 @ SV230 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1232,plain,
! [SV256: $i,SV231: $i,SV150: $i] :
( ( ( ~ ( memberP @ ( cons @ SV150 @ SV231 ) @ SV256 ) )
= $true )
| ( ( ~ ( ssList @ SV231 )
| ~ ( ssItem @ SV150 )
| ~ ( ssItem @ SV256 )
| ( SV256 = SV150 )
| ( memberP @ SV231 @ SV256 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1115]) ).
thf(1233,plain,
! [SV151: $i] :
( ( ( ( app @ ( app @ ( skaf75 @ SV151 ) @ ( cons @ ( skaf74 @ SV151 ) @ ( skaf76 @ SV151 ) ) ) @ ( cons @ ( skaf74 @ SV151 ) @ ( skaf77 @ SV151 ) ) )
= SV151 )
= $true )
| ( ( duplicatefreeP @ SV151 )
= $true )
| ( ( ssList @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1116]) ).
thf(1234,plain,
! [SV152: $i] :
( ( ( ( app @ ( app @ ( skaf71 @ SV152 ) @ ( cons @ ( skaf69 @ SV152 ) @ ( skaf72 @ SV152 ) ) ) @ ( cons @ ( skaf70 @ SV152 ) @ ( skaf73 @ SV152 ) ) )
= SV152 )
= $true )
| ( ( strictorderedP @ SV152 )
= $true )
| ( ( ssList @ SV152 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1235,plain,
! [SV153: $i] :
( ( ( ( app @ ( app @ ( skaf66 @ SV153 ) @ ( cons @ ( skaf64 @ SV153 ) @ ( skaf67 @ SV153 ) ) ) @ ( cons @ ( skaf65 @ SV153 ) @ ( skaf68 @ SV153 ) ) )
= SV153 )
= $true )
| ( ( totalorderedP @ SV153 )
= $true )
| ( ( ssList @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1118]) ).
thf(1236,plain,
! [SV154: $i] :
( ( ( ( app @ ( app @ ( skaf61 @ SV154 ) @ ( cons @ ( skaf59 @ SV154 ) @ ( skaf62 @ SV154 ) ) ) @ ( cons @ ( skaf60 @ SV154 ) @ ( skaf63 @ SV154 ) ) )
= SV154 )
= $true )
| ( ( strictorderP @ SV154 )
= $true )
| ( ( ssList @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1119]) ).
thf(1237,plain,
! [SV155: $i] :
( ( ( ( app @ ( app @ ( skaf56 @ SV155 ) @ ( cons @ ( skaf54 @ SV155 ) @ ( skaf57 @ SV155 ) ) ) @ ( cons @ ( skaf55 @ SV155 ) @ ( skaf58 @ SV155 ) ) )
= SV155 )
= $true )
| ( ( totalorderP @ SV155 )
= $true )
| ( ( ssList @ SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1238,plain,
! [SV156: $i] :
( ( ( ( app @ ( app @ ( skaf51 @ SV156 ) @ ( cons @ ( skaf49 @ SV156 ) @ ( skaf52 @ SV156 ) ) ) @ ( cons @ ( skaf50 @ SV156 ) @ ( skaf53 @ SV156 ) ) )
= SV156 )
= $true )
| ( ( cyclefreeP @ SV156 )
= $true )
| ( ( ssList @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1239,plain,
! [SV232: $i,SV157: $i] :
( ( ( segmentP @ SV157 @ SV232 )
= $false )
| ( ( ~ ( ssList @ SV232 )
| ~ ( ssList @ SV157 )
| ( ( app @ ( app @ ( skaf47 @ SV157 @ SV232 ) @ SV232 ) @ ( skaf48 @ SV232 @ SV157 ) )
= SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1240,plain,
! [SV233: $i,SV158: $i] :
( ( ( memberP @ SV158 @ SV233 )
= $false )
| ( ( ~ ( ssItem @ SV233 )
| ~ ( ssList @ SV158 )
| ( ( app @ ( skaf42 @ SV158 @ SV233 ) @ ( cons @ SV233 @ ( skaf43 @ SV233 @ SV158 ) ) )
= SV158 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1241,plain,
! [SV283: $i,SV257: $i,SV234: $i,SV159: $i] :
( ( ( ( cons @ SV159 @ SV234 )
!= ( cons @ SV257 @ SV283 ) )
| ~ ( ssItem @ SV257 )
| ~ ( ssItem @ SV159 )
| ~ ( ssList @ SV283 )
| ~ ( ssList @ SV234 )
| ( SV159 = SV257 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1242,plain,
! [SV284: $i,SV258: $i,SV235: $i,SV160: $i] :
( ( ( ( cons @ SV160 @ SV235 )
!= ( cons @ SV258 @ SV284 ) )
| ~ ( ssItem @ SV258 )
| ~ ( ssItem @ SV160 )
| ~ ( ssList @ SV284 )
| ~ ( ssList @ SV235 )
| ( SV284 = SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1243,plain,
! [SV236: $i,SV161: $i] :
( ( ( segmentP @ SV161 @ SV236 )
= $false )
| ( ( ! [SY511: $i] :
( ~ ( ssList @ SY511 )
| ! [SY512: $i] :
( ~ ( ssList @ SY512 )
| ~ ( ssList @ SV236 )
| ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SY512 @ SV161 ) @ SY511 ) @ SV236 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1244,plain,
! [SV285: $i,SV259: $i,SV237: $i,SV162: $i] :
( ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
!= SV285 )
| ~ ( ssList @ SV259 )
| ~ ( ssList @ SV162 )
| ~ ( ssList @ SV237 )
| ~ ( ssList @ SV285 )
| ( segmentP @ SV285 @ SV237 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1127]) ).
thf(1245,plain,
! [SV286: $i,SV260: $i,SV238: $i,SV163: $i] :
( ( ~ ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) )
| ~ ( ssList @ SV286 )
| ~ ( ssList @ SV238 )
| ~ ( ssItem @ SV260 )
| ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SV286 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1246,plain,
! [SV287: $i,SV261: $i,SV239: $i,SV164: $i] :
( ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
!= SV287 )
| ~ ( ssList @ SV261 )
| ~ ( ssList @ SV164 )
| ~ ( ssItem @ SV239 )
| ~ ( ssList @ SV287 )
| ( memberP @ SV287 @ SV239 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1129]) ).
thf(1247,plain,
! [SV288: $i,SV262: $i,SV240: $i,SV165: $i] :
( ( ~ ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) )
| ~ ( ssList @ SV288 )
| ~ ( ssList @ SV240 )
| ~ ( ssItem @ SV262 )
| ~ ( ssItem @ SV165 )
| ( SV165 = SV262 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1130]) ).
thf(1248,plain,
! [SV241: $i,SV166: $i] :
( ( ( ( tl @ SV166 )
= ( tl @ SV241 ) )
= $false )
| ( ( ( ( hd @ SV166 )
!= ( hd @ SV241 ) )
| ~ ( ssList @ SV166 )
| ~ ( ssList @ SV241 )
| ( nil = SV241 )
| ( SV166 = SV241 )
| ( nil = SV166 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1249,plain,
! [SV242: $i,SV167: $i] :
( ( ( frontsegP @ SV167 @ SV242 )
= $false )
| ( ( ! [SY521: $i,SY522: $i] :
( ( SY521 != SY522 )
| ~ ( ssList @ SV242 )
| ~ ( ssList @ SV167 )
| ~ ( ssItem @ SY522 )
| ~ ( ssItem @ SY521 )
| ( frontsegP @ ( cons @ SY521 @ SV167 ) @ ( cons @ SY522 @ SV242 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1250,plain,
! [SV289: $i,SV263: $i,SV243: $i,SV168: $i] :
( ( ! [SY577: $i] :
( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
!= SY577 )
| ~ ( ssList @ SV289 )
| ~ ( ssList @ SV263 )
| ~ ( ssList @ SV168 )
| ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SY577 )
| ~ ( ssList @ SY577 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1251,plain,
! [SV290: $i,SV264: $i,SV244: $i,SV169: $i] :
( ( ! [SY578: $i] :
( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
!= SY578 )
| ~ ( ssList @ SV290 )
| ~ ( ssList @ SV169 )
| ~ ( ssItem @ SV264 )
| ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SY578 )
| ~ ( ssList @ SY578 )
| ( SV244 = SV264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1252,plain,
! [SV291: $i,SV265: $i,SV245: $i,SV170: $i] :
( ( ! [SY579: $i,SY580: $i] :
( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SY579 ) )
!= SY580 )
| ~ ( ssList @ SY579 )
| ~ ( ssList @ SV265 )
| ~ ( ssList @ SV170 )
| ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SY580 )
| ~ ( ssList @ SY580 )
| ( lt @ SV245 @ SV291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1135]) ).
thf(1253,plain,
! [SV292: $i,SV266: $i,SV246: $i,SV171: $i] :
( ( ! [SY581: $i,SY582: $i] :
( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SY581 ) )
!= SY582 )
| ~ ( ssList @ SY581 )
| ~ ( ssList @ SV266 )
| ~ ( ssList @ SV171 )
| ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SY582 )
| ~ ( ssList @ SY582 )
| ( leq @ SV246 @ SV292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1254,plain,
! [SV293: $i,SV267: $i,SV247: $i,SV172: $i] :
( ( ! [SY583: $i,SY584: $i] :
( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SY583 ) )
!= SY584 )
| ~ ( ssList @ SY583 )
| ~ ( ssList @ SV267 )
| ~ ( ssList @ SV172 )
| ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SY584 )
| ~ ( ssList @ SY584 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1137]) ).
thf(1255,plain,
! [SV294: $i,SV268: $i,SV248: $i,SV173: $i] :
( ( ! [SY585: $i,SY586: $i] :
( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SY585 ) )
!= SY586 )
| ~ ( ssList @ SY585 )
| ~ ( ssList @ SV268 )
| ~ ( ssList @ SV173 )
| ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SY586 )
| ~ ( ssList @ SY586 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1256,plain,
! [SV295: $i,SV269: $i,SV249: $i,SV174: $i] :
( ( ~ ( leq @ SV174 @ SV249 )
| ~ ( leq @ SV249 @ SV174 )
| ! [SY587: $i,SY588: $i] :
( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SY587 ) )
!= SY588 )
| ~ ( ssList @ SY587 )
| ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SY588 )
| ~ ( ssList @ SY588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1257,plain,
! [SV1: $i,SV270: $i] :
( ( ( ~ ( ssList @ SV270 ) )
= $true )
| ( ( ( ( app @ ( cons @ SV1 @ nil ) @ SV270 )
!= sk4 )
| ( ( app @ SV270 @ ( cons @ SV1 @ nil ) )
= sk3 ) )
= $true )
| ( ( ssItem @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1140]) ).
thf(1258,plain,
! [SV175: $i,SV296: $i] :
( ( ( ~ ( ssList @ SV296 )
| ( ( app @ ( cons @ SV175 @ nil ) @ SV296 )
!= sk2 )
| ( ( app @ SV296 @ ( cons @ SV175 @ nil ) )
!= sk1 ) )
= $true )
| ( ( ssItem @ SV175 )
= $false )
| ( ( nil = sk2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1259,plain,
! [SV250: $i] :
( ( ( ssItem @ SV250 )
= $false )
| ( ( ! [SY549: $i] :
( ~ ( ssList @ SY549 )
| ( ( app @ ( cons @ SV250 @ nil ) @ SY549 )
!= sk2 )
| ( ( app @ SY549 @ ( cons @ SV250 @ nil ) )
!= sk1 ) ) )
= $true )
| ( ( nil = sk1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1260,plain,
! [SV61: $i,SV297: $i] :
( ( ( ssItem @ SV297 )
= $true )
| ( ( duplicatefreeP @ SV61 )
= $true )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1261,plain,
! [SV68: $i] :
( ( ( ssList @ SV68 )
= $false )
| ( ( segmentP @ nil @ SV68 )
= $true )
| ( ( nil = SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1262,plain,
! [SV69: $i] :
( ( ( ssList @ SV69 )
= $false )
| ( ( nil = SV69 )
= $true )
| ( ( segmentP @ nil @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1263,plain,
! [SV70: $i] :
( ( ( ssList @ SV70 )
= $false )
| ( ( rearsegP @ nil @ SV70 )
= $true )
| ( ( nil = SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1264,plain,
! [SV71: $i] :
( ( ( ssList @ SV71 )
= $false )
| ( ( nil = SV71 )
= $true )
| ( ( rearsegP @ nil @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1265,plain,
! [SV72: $i] :
( ( ( ssList @ SV72 )
= $false )
| ( ( frontsegP @ nil @ SV72 )
= $true )
| ( ( nil = SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1266,plain,
! [SV73: $i] :
( ( ( ssList @ SV73 )
= $false )
| ( ( nil = SV73 )
= $true )
| ( ( frontsegP @ nil @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1267,plain,
! [SV74: $i,SV271: $i] :
( ( ( ~ ( ssList @ SV271 ) )
= $true )
| ( ( ssList @ ( app @ SV271 @ SV74 ) )
= $true )
| ( ( ssList @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1268,plain,
! [SV75: $i,SV272: $i] :
( ( ( ~ ( ssList @ SV272 ) )
= $true )
| ( ( ssList @ ( cons @ SV75 @ SV272 ) )
= $true )
| ( ( ssItem @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1269,plain,
! [SV78: $i] :
( ( ( ssList @ SV78 )
= $false )
| ( ( equalelemsP @ SV78 )
= $true )
| ( ( ( skaf79 @ SV78 )
= ( skaf78 @ SV78 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1270,plain,
! [SV79: $i] :
( ( ( ssList @ SV79 )
= $false )
| ( ( strictorderedP @ SV79 )
= $true )
| ( ( lt @ ( skaf69 @ SV79 ) @ ( skaf70 @ SV79 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1271,plain,
! [SV80: $i] :
( ( ( ssList @ SV80 )
= $false )
| ( ( totalorderedP @ SV80 )
= $true )
| ( ( leq @ ( skaf64 @ SV80 ) @ ( skaf65 @ SV80 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1272,plain,
! [SV81: $i] :
( ( ( ssList @ SV81 )
= $false )
| ( ( strictorderP @ SV81 )
= $true )
| ( ( lt @ ( skaf60 @ SV81 ) @ ( skaf59 @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1273,plain,
! [SV82: $i] :
( ( ( ssList @ SV82 )
= $false )
| ( ( strictorderP @ SV82 )
= $true )
| ( ( lt @ ( skaf59 @ SV82 ) @ ( skaf60 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1274,plain,
! [SV83: $i] :
( ( ( ssList @ SV83 )
= $false )
| ( ( totalorderP @ SV83 )
= $true )
| ( ( leq @ ( skaf55 @ SV83 ) @ ( skaf54 @ SV83 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1275,plain,
! [SV84: $i] :
( ( ( ssList @ SV84 )
= $false )
| ( ( totalorderP @ SV84 )
= $true )
| ( ( leq @ ( skaf54 @ SV84 ) @ ( skaf55 @ SV84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1276,plain,
! [SV85: $i,SV273: $i] :
( ( ( ~ ( ssList @ SV273 ) )
= $true )
| ( ( ( tl @ ( cons @ SV85 @ SV273 ) )
= SV273 )
= $true )
| ( ( ssItem @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1167]) ).
thf(1277,plain,
! [SV86: $i,SV274: $i] :
( ( ( ~ ( ssList @ SV274 ) )
= $true )
| ( ( ( hd @ ( cons @ SV86 @ SV274 ) )
= SV86 )
= $true )
| ( ( ssItem @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1168]) ).
thf(1278,plain,
! [SV182: $i,SV87: $i] :
( ( ( ~ ( ssItem @ SV87 ) )
= $true )
| ( ( ~ ( ssList @ SV182 ) )
= $true )
| ( ( ( cons @ SV87 @ SV182 )
= nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1169]) ).
thf(1279,plain,
! [SV183: $i,SV88: $i] :
( ( ( ~ ( ssItem @ SV88 ) )
= $true )
| ( ( ~ ( ssList @ SV183 ) )
= $true )
| ( ( ( cons @ SV88 @ SV183 )
= SV183 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1170]) ).
thf(1280,plain,
! [SV89: $i,SV275: $i] :
( ( ( ~ ( ssList @ SV275 ) )
= $true )
| ( ( ( SV275 = SV89 )
| ( neq @ SV275 @ SV89 ) )
= $true )
| ( ( ssList @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1171]) ).
thf(1281,plain,
! [SV90: $i] :
( ( ( ssList @ SV90 )
= $false )
| ( ( ( cons @ ( skaf44 @ SV90 ) @ nil )
= SV90 )
= $true )
| ( ( singletonP @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1282,plain,
! [SV91: $i,SV276: $i] :
( ( ( ~ ( ssItem @ SV276 ) )
= $true )
| ( ( ( SV276 = SV91 )
| ( neq @ SV276 @ SV91 ) )
= $true )
| ( ( ssItem @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1173]) ).
thf(1283,plain,
! [SV92: $i,SV184: $i] :
( ( ( ~ ( ssItem @ SV184 ) )
= $true )
| ( ( ~ ( ssItem @ SV92 )
| ( leq @ SV92 @ SV184 ) )
= $true )
| ( ( lt @ SV92 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1174]) ).
thf(1284,plain,
! [SV94: $i,SV185: $i] :
( ( ( ~ ( ssItem @ SV185 ) )
= $true )
| ( ( ~ ( ssItem @ SV94 )
| ( lt @ SV185 @ SV94 ) )
= $true )
| ( ( gt @ SV94 @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1176]) ).
thf(1285,plain,
! [SV186: $i,SV95: $i] :
( ( ( ~ ( ssItem @ SV95 ) )
= $true )
| ( ( ~ ( ssItem @ SV186 )
| ( gt @ SV186 @ SV95 ) )
= $true )
| ( ( lt @ SV95 @ SV186 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1286,plain,
! [SV96: $i,SV187: $i] :
( ( ( ~ ( ssItem @ SV187 ) )
= $true )
| ( ( ~ ( ssItem @ SV96 )
| ( leq @ SV187 @ SV96 ) )
= $true )
| ( ( geq @ SV96 @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1178]) ).
thf(1287,plain,
! [SV188: $i,SV97: $i] :
( ( ( ~ ( ssItem @ SV97 ) )
= $true )
| ( ( ~ ( ssItem @ SV188 )
| ( geq @ SV188 @ SV97 ) )
= $true )
| ( ( leq @ SV97 @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1179]) ).
thf(1288,plain,
! [SV99: $i,SV189: $i] :
( ( ( ~ ( gt @ SV189 @ SV99 ) )
= $true )
| ( ( ~ ( ssItem @ SV99 )
| ~ ( ssItem @ SV189 ) )
= $true )
| ( ( gt @ SV99 @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1181]) ).
thf(1289,plain,
! [SV190: $i,SV100: $i] :
( ( ( ~ ( lt @ SV100 @ SV190 ) )
= $true )
| ( ( ~ ( ssItem @ SV190 )
| ~ ( ssItem @ SV100 ) )
= $true )
| ( ( SV100 = SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1290,plain,
! [SV101: $i] :
( ( ( ssList @ SV101 )
= $false )
| ( ( ! [SY355: $i] :
( ~ ( ssItem @ SY355 )
| ( strictorderedP @ ( cons @ SY355 @ SV101 ) ) ) )
= $true )
| ( ( nil = SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1291,plain,
! [SV102: $i] :
( ( ( ssList @ SV102 )
= $false )
| ( ( ! [SY356: $i] :
( ~ ( ssItem @ SY356 )
| ( totalorderedP @ ( cons @ SY356 @ SV102 ) ) ) )
= $true )
| ( ( nil = SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1292,plain,
! [SV103: $i,SV191: $i] :
( ( ( ~ ( lt @ SV191 @ SV103 ) )
= $true )
| ( ( ~ ( ssItem @ SV103 )
| ~ ( ssItem @ SV191 ) )
= $true )
| ( ( lt @ SV103 @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1293,plain,
! [SV192: $i,SV104: $i] :
( ( ( ~ ( neq @ SV104 @ SV192 ) )
= $true )
| ( ( ~ ( ssList @ SV192 )
| ~ ( ssList @ SV104 ) )
= $true )
| ( ( SV104 = SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1294,plain,
! [SV193: $i,SV105: $i] :
( ( ( ~ ( ssItem @ SV105 ) )
= $true )
| ( ( ~ ( ssList @ SV193 )
| ( singletonP @ SV193 ) )
= $true )
| ( ( ( cons @ SV105 @ nil )
= SV193 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1187]) ).
thf(1295,plain,
! [SV194: $i,SV106: $i] :
( ( ( ~ ( neq @ SV106 @ SV194 ) )
= $true )
| ( ( ~ ( ssItem @ SV194 )
| ~ ( ssItem @ SV106 ) )
= $true )
| ( ( SV106 = SV194 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1188]) ).
thf(1296,plain,
! [SV107: $i,SV195: $i] :
( ( ( ~ ( ssList @ SV195 ) )
= $true )
| ( ( ~ ( ssList @ SV107 )
| ( nil = SV107 ) )
= $true )
| ( ( ( app @ SV107 @ SV195 )
= nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1297,plain,
! [SV108: $i,SV196: $i] :
( ( ( ~ ( ssList @ SV196 ) )
= $true )
| ( ( ~ ( ssList @ SV108 )
| ( nil = SV196 ) )
= $true )
| ( ( ( app @ SV108 @ SV196 )
= nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1298,plain,
! [SV109: $i,SV277: $i] :
( ( ( ~ ( ssList @ SV277 ) )
= $true )
| ( ( ( app @ ( cons @ SV109 @ nil ) @ SV277 )
= ( cons @ SV109 @ SV277 ) )
= $true )
| ( ( ssItem @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1299,plain,
! [SV110: $i,SV197: $i] :
( ( ( ~ ( ssItem @ SV197 ) )
= $true )
| ( ( ~ ( ssItem @ SV110 )
| ( SV110 = SV197 )
| ( lt @ SV110 @ SV197 ) )
= $true )
| ( ( leq @ SV110 @ SV197 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1192]) ).
thf(1300,plain,
! [SV111: $i,SV198: $i] :
( ( ( ~ ( ssItem @ SV198 ) )
= $true )
| ( ( ~ ( ssItem @ SV111 )
| ( SV111 = SV198 )
| ( lt @ SV111 @ SV198 ) )
= $true )
| ( ( leq @ SV111 @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1193]) ).
thf(1301,plain,
! [SV112: $i,SV278: $i] :
( ( ( ~ ( ssList @ SV278 ) )
= $true )
| ( ( ( nil = SV278 )
| ( ( hd @ ( app @ SV278 @ SV112 ) )
= ( hd @ SV278 ) ) )
= $true )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1194]) ).
thf(1302,plain,
! [SV113: $i,SV199: $i] :
( ( ( ~ ( ssList @ SV199 ) )
= $true )
| ( ( ~ ( ssItem @ SV113 )
| ( nil = SV199 )
| ( strictorderedP @ SV199 ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV113 @ SV199 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1195]) ).
thf(1303,plain,
! [SV114: $i,SV200: $i] :
( ( ( ~ ( ssList @ SV200 ) )
= $true )
| ( ( ~ ( ssItem @ SV114 )
| ( nil = SV200 )
| ( totalorderedP @ SV200 ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV114 @ SV200 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1196]) ).
thf(1304,plain,
! [SV115: $i,SV201: $i] :
( ( ( ~ ( geq @ SV201 @ SV115 ) )
= $true )
| ( ( ~ ( ssItem @ SV115 )
| ~ ( ssItem @ SV201 )
| ( SV201 = SV115 ) )
= $true )
| ( ( geq @ SV115 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1197]) ).
thf(1305,plain,
! [SV116: $i,SV202: $i] :
( ( ( ~ ( segmentP @ SV202 @ SV116 ) )
= $true )
| ( ( ~ ( ssList @ SV116 )
| ~ ( ssList @ SV202 )
| ( SV202 = SV116 ) )
= $true )
| ( ( segmentP @ SV116 @ SV202 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1198]) ).
thf(1306,plain,
! [SV117: $i,SV203: $i] :
( ( ( ~ ( rearsegP @ SV203 @ SV117 ) )
= $true )
| ( ( ~ ( ssList @ SV117 )
| ~ ( ssList @ SV203 )
| ( SV203 = SV117 ) )
= $true )
| ( ( rearsegP @ SV117 @ SV203 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1199]) ).
thf(1307,plain,
! [SV118: $i,SV204: $i] :
( ( ( ~ ( frontsegP @ SV204 @ SV118 ) )
= $true )
| ( ( ~ ( ssList @ SV118 )
| ~ ( ssList @ SV204 )
| ( SV204 = SV118 ) )
= $true )
| ( ( frontsegP @ SV118 @ SV204 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1308,plain,
! [SV119: $i,SV205: $i] :
( ( ( ~ ( leq @ SV205 @ SV119 ) )
= $true )
| ( ( ~ ( ssItem @ SV119 )
| ~ ( ssItem @ SV205 )
| ( SV205 = SV119 ) )
= $true )
| ( ( leq @ SV119 @ SV205 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1201]) ).
thf(1309,plain,
! [SV120: $i,SV206: $i] :
( ( ( ~ ( ssList @ SV206 ) )
= $true )
| ( ( ~ ( ssList @ SV120 )
| ( ( app @ ( skaf46 @ SV120 @ SV206 ) @ SV206 )
= SV120 ) )
= $true )
| ( ( rearsegP @ SV120 @ SV206 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1202]) ).
thf(1310,plain,
! [SV121: $i,SV207: $i] :
( ( ( ~ ( ssList @ SV207 ) )
= $true )
| ( ( ~ ( ssList @ SV121 )
| ( ( app @ SV207 @ ( skaf45 @ SV121 @ SV207 ) )
= SV121 ) )
= $true )
| ( ( frontsegP @ SV121 @ SV207 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1203]) ).
thf(1311,plain,
! [SV122: $i,SV279: $i] :
( ( ( ~ ( ssList @ SV279 ) )
= $true )
| ( ( ( nil = SV279 )
| ( ( tl @ ( app @ SV279 @ SV122 ) )
= ( app @ ( tl @ SV279 ) @ SV122 ) ) )
= $true )
| ( ( ssList @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1204]) ).
thf(1312,plain,
! [SV123: $i,SV208: $i] :
( ( ( ~ ( ssList @ SV208 ) )
= $true )
| ( ( ~ ( ssItem @ SV123 )
| ( nil = SV208 )
| ( lt @ SV123 @ ( hd @ SV208 ) ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV123 @ SV208 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1205]) ).
thf(1313,plain,
! [SV124: $i,SV209: $i] :
( ( ( ~ ( ssList @ SV209 ) )
= $true )
| ( ( ~ ( ssItem @ SV124 )
| ( nil = SV209 )
| ( leq @ SV124 @ ( hd @ SV209 ) ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV124 @ SV209 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1314,plain,
! [SV125: $i,SV210: $i,SV298: $i] :
( ( ( ~ ( ssList @ SV298 )
| ~ ( ssList @ SV210 )
| ~ ( ssList @ SV125 )
| ( rearsegP @ ( app @ SV298 @ SV125 ) @ SV210 ) )
= $true )
| ( ( rearsegP @ SV125 @ SV210 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1207]) ).
thf(1315,plain,
! [SV126: $i,SV211: $i,SV299: $i] :
( ( ( ~ ( ssList @ SV299 )
| ~ ( ssList @ SV211 )
| ~ ( ssList @ SV126 )
| ( frontsegP @ ( app @ SV126 @ SV299 ) @ SV211 ) )
= $true )
| ( ( frontsegP @ SV126 @ SV211 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1208]) ).
thf(1316,plain,
! [SV127: $i,SV212: $i,SV300: $i] :
( ( ( ~ ( ssList @ SV300 )
| ~ ( ssItem @ SV212 )
| ~ ( ssItem @ SV127 )
| ( memberP @ ( cons @ SV212 @ SV300 ) @ SV127 ) )
= $true )
| ( ( SV127 = SV212 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1209]) ).
thf(1317,plain,
! [SV213: $i,SV128: $i] :
( ( ( ~ ( ssList @ SV128 ) )
= $true )
| ( ( ! [SY490: $i] :
( ~ ( ssItem @ SY490 )
| ~ ( ssItem @ SV213 )
| ( memberP @ ( cons @ SY490 @ SV128 ) @ SV213 ) ) )
= $true )
| ( ( memberP @ SV128 @ SV213 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1210]) ).
thf(1318,plain,
! [SV214: $i,SV129: $i,SV301: $i] :
( ( ( ~ ( ssList @ SV301 )
| ~ ( ssList @ SV129 )
| ~ ( ssItem @ SV214 )
| ( memberP @ ( app @ SV129 @ SV301 ) @ SV214 ) )
= $true )
| ( ( memberP @ SV129 @ SV214 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1211]) ).
thf(1319,plain,
! [SV215: $i,SV130: $i] :
( ( ( ~ ( ssList @ SV130 ) )
= $true )
| ( ( ! [SY492: $i] :
( ~ ( ssList @ SY492 )
| ~ ( ssItem @ SV215 )
| ( memberP @ ( app @ SY492 @ SV130 ) @ SV215 ) ) )
= $true )
| ( ( memberP @ SV130 @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1212]) ).
thf(1320,plain,
! [SV251: $i,SV216: $i,SV132: $i] :
( ( ( ( app @ SV132 @ SV216 )
= SV251 )
= $false )
| ( ( ~ ( ssList @ SV132 )
| ~ ( ssList @ SV216 )
| ~ ( ssList @ SV251 )
| ( rearsegP @ SV251 @ SV216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1321,plain,
! [SV252: $i,SV217: $i,SV133: $i] :
( ( ( ( app @ SV133 @ SV217 )
= SV252 )
= $false )
| ( ( ~ ( ssList @ SV217 )
| ~ ( ssList @ SV133 )
| ~ ( ssList @ SV252 )
| ( frontsegP @ SV252 @ SV133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1322,plain,
! [SV134: $i,SV280: $i] :
( ( ( nil != SV280 )
= $true )
| ( ( ~ ( ssList @ SV280 )
| ~ ( ssList @ SV134 )
| ( ( app @ SV134 @ SV280 )
= nil ) )
= $true )
| ( ( nil = SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1216]) ).
thf(1323,plain,
! [SV135: $i,SV302: $i,SV218: $i] :
( ( ( ~ ( gt @ SV218 @ SV302 )
| ~ ( ssItem @ SV302 )
| ~ ( ssItem @ SV218 )
| ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SV302 ) )
= $true )
| ( ( gt @ SV135 @ SV218 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1217]) ).
thf(1324,plain,
! [SV136: $i,SV303: $i,SV219: $i] :
( ( ( ~ ( lt @ SV219 @ SV303 )
| ~ ( ssItem @ SV303 )
| ~ ( ssItem @ SV219 )
| ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SV303 ) )
= $true )
| ( ( leq @ SV136 @ SV219 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1325,plain,
! [SV137: $i,SV304: $i,SV220: $i] :
( ( ( ~ ( geq @ SV220 @ SV304 )
| ~ ( ssItem @ SV304 )
| ~ ( ssItem @ SV220 )
| ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SV304 ) )
= $true )
| ( ( geq @ SV137 @ SV220 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1326,plain,
! [SV138: $i,SV281: $i] :
( ( ( ~ ( ssList @ SV281 ) )
= $true )
| ( ( ! [SY575: $i] :
( ~ ( ssList @ SY575 )
| ( ( app @ ( app @ SY575 @ SV281 ) @ SV138 )
= ( app @ SY575 @ ( app @ SV281 @ SV138 ) ) ) ) )
= $true )
| ( ( ssList @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1327,plain,
! [SV253: $i,SV221: $i,SV139: $i] :
( ( ( ( app @ SV139 @ SV221 )
= ( app @ SV139 @ SV253 ) )
= $false )
| ( ( ~ ( ssList @ SV221 )
| ~ ( ssList @ SV139 )
| ~ ( ssList @ SV253 )
| ( SV221 = SV253 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1328,plain,
! [SV254: $i,SV222: $i,SV140: $i] :
( ( ( ( app @ SV140 @ SV222 )
= ( app @ SV254 @ SV222 ) )
= $false )
| ( ( ~ ( ssList @ SV140 )
| ~ ( ssList @ SV222 )
| ~ ( ssList @ SV254 )
| ( SV140 = SV254 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1329,plain,
! [SV141: $i,SV305: $i,SV223: $i] :
( ( ( ~ ( segmentP @ SV223 @ SV305 )
| ~ ( ssList @ SV305 )
| ~ ( ssList @ SV223 )
| ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SV305 ) )
= $true )
| ( ( segmentP @ SV141 @ SV223 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1330,plain,
! [SV142: $i,SV306: $i,SV224: $i] :
( ( ( ~ ( rearsegP @ SV224 @ SV306 )
| ~ ( ssList @ SV306 )
| ~ ( ssList @ SV224 )
| ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SV306 ) )
= $true )
| ( ( rearsegP @ SV142 @ SV224 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1331,plain,
! [SV143: $i,SV307: $i,SV225: $i] :
( ( ( ~ ( frontsegP @ SV225 @ SV307 )
| ~ ( ssList @ SV307 )
| ~ ( ssList @ SV225 )
| ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SV307 ) )
= $true )
| ( ( frontsegP @ SV143 @ SV225 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1332,plain,
! [SV144: $i,SV308: $i,SV226: $i] :
( ( ( ~ ( lt @ SV226 @ SV308 )
| ~ ( ssItem @ SV308 )
| ~ ( ssItem @ SV226 )
| ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SV308 ) )
= $true )
| ( ( lt @ SV144 @ SV226 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1333,plain,
! [SV145: $i,SV309: $i,SV227: $i] :
( ( ( ~ ( leq @ SV227 @ SV309 )
| ~ ( ssItem @ SV309 )
| ~ ( ssItem @ SV227 )
| ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SV309 ) )
= $true )
| ( ( leq @ SV145 @ SV227 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1227]) ).
thf(1334,plain,
! [SV146: $i,SV282: $i] :
( ( ( ~ ( ssList @ SV282 ) )
= $true )
| ( ( ! [SY576: $i] :
( ~ ( ssList @ SY576 )
| ( ( cons @ SV146 @ ( app @ SV282 @ SY576 ) )
= ( app @ ( cons @ SV146 @ SV282 ) @ SY576 ) ) ) )
= $true )
| ( ( ssItem @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1228]) ).
thf(1335,plain,
! [SV255: $i,SV228: $i,SV147: $i] :
( ( ( memberP @ ( app @ SV147 @ SV228 ) @ SV255 )
= $false )
| ( ( ~ ( ssList @ SV228 )
| ~ ( ssList @ SV147 )
| ~ ( ssItem @ SV255 )
| ( memberP @ SV228 @ SV255 )
| ( memberP @ SV147 @ SV255 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1336,plain,
! [SV148: $i,SV229: $i] :
( ( ( ~ ( totalorderedP @ SV229 ) )
= $true )
| ( ( ~ ( ssList @ SV229 )
| ~ ( ssItem @ SV148 )
| ( nil = SV229 )
| ( totalorderedP @ ( cons @ SV148 @ SV229 ) ) )
= $true )
| ( ( leq @ SV148 @ ( hd @ SV229 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1337,plain,
! [SV149: $i,SV230: $i] :
( ( ( ~ ( strictorderedP @ SV230 ) )
= $true )
| ( ( ~ ( ssList @ SV230 )
| ~ ( ssItem @ SV149 )
| ( nil = SV230 )
| ( strictorderedP @ ( cons @ SV149 @ SV230 ) ) )
= $true )
| ( ( lt @ SV149 @ ( hd @ SV230 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1338,plain,
! [SV256: $i,SV231: $i,SV150: $i] :
( ( ( memberP @ ( cons @ SV150 @ SV231 ) @ SV256 )
= $false )
| ( ( ~ ( ssList @ SV231 )
| ~ ( ssItem @ SV150 )
| ~ ( ssItem @ SV256 )
| ( SV256 = SV150 )
| ( memberP @ SV231 @ SV256 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1339,plain,
! [SV157: $i,SV232: $i] :
( ( ( ~ ( ssList @ SV232 ) )
= $true )
| ( ( ~ ( ssList @ SV157 )
| ( ( app @ ( app @ ( skaf47 @ SV157 @ SV232 ) @ SV232 ) @ ( skaf48 @ SV232 @ SV157 ) )
= SV157 ) )
= $true )
| ( ( segmentP @ SV157 @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1239]) ).
thf(1340,plain,
! [SV158: $i,SV233: $i] :
( ( ( ~ ( ssItem @ SV233 ) )
= $true )
| ( ( ~ ( ssList @ SV158 )
| ( ( app @ ( skaf42 @ SV158 @ SV233 ) @ ( cons @ SV233 @ ( skaf43 @ SV233 @ SV158 ) ) )
= SV158 ) )
= $true )
| ( ( memberP @ SV158 @ SV233 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1240]) ).
thf(1341,plain,
! [SV283: $i,SV257: $i,SV234: $i,SV159: $i] :
( ( ( ( cons @ SV159 @ SV234 )
!= ( cons @ SV257 @ SV283 ) )
= $true )
| ( ( ~ ( ssItem @ SV257 )
| ~ ( ssItem @ SV159 )
| ~ ( ssList @ SV283 )
| ~ ( ssList @ SV234 )
| ( SV159 = SV257 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1241]) ).
thf(1342,plain,
! [SV284: $i,SV258: $i,SV235: $i,SV160: $i] :
( ( ( ( cons @ SV160 @ SV235 )
!= ( cons @ SV258 @ SV284 ) )
= $true )
| ( ( ~ ( ssItem @ SV258 )
| ~ ( ssItem @ SV160 )
| ~ ( ssList @ SV284 )
| ~ ( ssList @ SV235 )
| ( SV284 = SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1242]) ).
thf(1343,plain,
! [SV161: $i,SV236: $i,SV310: $i] :
( ( ( ~ ( ssList @ SV310 )
| ! [SY589: $i] :
( ~ ( ssList @ SY589 )
| ~ ( ssList @ SV236 )
| ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SY589 @ SV161 ) @ SV310 ) @ SV236 ) ) )
= $true )
| ( ( segmentP @ SV161 @ SV236 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1344,plain,
! [SV285: $i,SV259: $i,SV237: $i,SV162: $i] :
( ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
!= SV285 )
= $true )
| ( ( ~ ( ssList @ SV259 )
| ~ ( ssList @ SV162 )
| ~ ( ssList @ SV237 )
| ~ ( ssList @ SV285 )
| ( segmentP @ SV285 @ SV237 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1244]) ).
thf(1345,plain,
! [SV286: $i,SV260: $i,SV238: $i,SV163: $i] :
( ( ( ~ ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) ) )
= $true )
| ( ( ~ ( ssList @ SV286 )
| ~ ( ssList @ SV238 )
| ~ ( ssItem @ SV260 )
| ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SV286 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1245]) ).
thf(1346,plain,
! [SV287: $i,SV261: $i,SV239: $i,SV164: $i] :
( ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
!= SV287 )
= $true )
| ( ( ~ ( ssList @ SV261 )
| ~ ( ssList @ SV164 )
| ~ ( ssItem @ SV239 )
| ~ ( ssList @ SV287 )
| ( memberP @ SV287 @ SV239 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1246]) ).
thf(1347,plain,
! [SV288: $i,SV262: $i,SV240: $i,SV165: $i] :
( ( ( ~ ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) ) )
= $true )
| ( ( ~ ( ssList @ SV288 )
| ~ ( ssList @ SV240 )
| ~ ( ssItem @ SV262 )
| ~ ( ssItem @ SV165 )
| ( SV165 = SV262 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1247]) ).
thf(1348,plain,
! [SV241: $i,SV166: $i] :
( ( ( ( hd @ SV166 )
!= ( hd @ SV241 ) )
= $true )
| ( ( ~ ( ssList @ SV166 )
| ~ ( ssList @ SV241 )
| ( nil = SV241 )
| ( SV166 = SV241 )
| ( nil = SV166 ) )
= $true )
| ( ( ( tl @ SV166 )
= ( tl @ SV241 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1248]) ).
thf(1349,plain,
! [SV167: $i,SV242: $i,SV311: $i] :
( ( ( ! [SY590: $i] :
( ( SV311 != SY590 )
| ~ ( ssList @ SV242 )
| ~ ( ssList @ SV167 )
| ~ ( ssItem @ SY590 )
| ~ ( ssItem @ SV311 )
| ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SY590 @ SV242 ) ) ) )
= $true )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1350,plain,
! [SV312: $i,SV289: $i,SV263: $i,SV243: $i,SV168: $i] :
( ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
!= SV312 )
| ~ ( ssList @ SV289 )
| ~ ( ssList @ SV263 )
| ~ ( ssList @ SV168 )
| ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1351,plain,
! [SV313: $i,SV290: $i,SV264: $i,SV244: $i,SV169: $i] :
( ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
!= SV313 )
| ~ ( ssList @ SV290 )
| ~ ( ssList @ SV169 )
| ~ ( ssItem @ SV264 )
| ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1251]) ).
thf(1352,plain,
! [SV314: $i,SV291: $i,SV265: $i,SV245: $i,SV170: $i] :
( ( ! [SY591: $i] :
( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
!= SY591 )
| ~ ( ssList @ SV314 )
| ~ ( ssList @ SV265 )
| ~ ( ssList @ SV170 )
| ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SY591 )
| ~ ( ssList @ SY591 )
| ( lt @ SV245 @ SV291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1252]) ).
thf(1353,plain,
! [SV315: $i,SV292: $i,SV266: $i,SV246: $i,SV171: $i] :
( ( ! [SY592: $i] :
( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
!= SY592 )
| ~ ( ssList @ SV315 )
| ~ ( ssList @ SV266 )
| ~ ( ssList @ SV171 )
| ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SY592 )
| ~ ( ssList @ SY592 )
| ( leq @ SV246 @ SV292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1354,plain,
! [SV316: $i,SV293: $i,SV267: $i,SV247: $i,SV172: $i] :
( ( ! [SY593: $i] :
( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
!= SY593 )
| ~ ( ssList @ SV316 )
| ~ ( ssList @ SV267 )
| ~ ( ssList @ SV172 )
| ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SY593 )
| ~ ( ssList @ SY593 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1355,plain,
! [SV317: $i,SV294: $i,SV268: $i,SV248: $i,SV173: $i] :
( ( ! [SY594: $i] :
( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
!= SY594 )
| ~ ( ssList @ SV317 )
| ~ ( ssList @ SV268 )
| ~ ( ssList @ SV173 )
| ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SY594 )
| ~ ( ssList @ SY594 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1255]) ).
thf(1356,plain,
! [SV295: $i,SV269: $i,SV249: $i,SV174: $i] :
( ( ( ~ ( leq @ SV174 @ SV249 ) )
= $true )
| ( ( ~ ( leq @ SV249 @ SV174 )
| ! [SY587: $i,SY588: $i] :
( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SY587 ) )
!= SY588 )
| ~ ( ssList @ SY587 )
| ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SY588 )
| ~ ( ssList @ SY588 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1256]) ).
thf(1357,plain,
! [SV1: $i,SV270: $i] :
( ( ( ssList @ SV270 )
= $false )
| ( ( ( ( app @ ( cons @ SV1 @ nil ) @ SV270 )
!= sk4 )
| ( ( app @ SV270 @ ( cons @ SV1 @ nil ) )
= sk3 ) )
= $true )
| ( ( ssItem @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1358,plain,
! [SV175: $i,SV296: $i] :
( ( ( ~ ( ssList @ SV296 ) )
= $true )
| ( ( ( ( app @ ( cons @ SV175 @ nil ) @ SV296 )
!= sk2 )
| ( ( app @ SV296 @ ( cons @ SV175 @ nil ) )
!= sk1 ) )
= $true )
| ( ( ssItem @ SV175 )
= $false )
| ( ( nil = sk2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1258]) ).
thf(1359,plain,
! [SV250: $i,SV318: $i] :
( ( ( ~ ( ssList @ SV318 )
| ( ( app @ ( cons @ SV250 @ nil ) @ SV318 )
!= sk2 )
| ( ( app @ SV318 @ ( cons @ SV250 @ nil ) )
!= sk1 ) )
= $true )
| ( ( ssItem @ SV250 )
= $false )
| ( ( nil = sk1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1360,plain,
! [SV74: $i,SV271: $i] :
( ( ( ssList @ SV271 )
= $false )
| ( ( ssList @ ( app @ SV271 @ SV74 ) )
= $true )
| ( ( ssList @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1361,plain,
! [SV75: $i,SV272: $i] :
( ( ( ssList @ SV272 )
= $false )
| ( ( ssList @ ( cons @ SV75 @ SV272 ) )
= $true )
| ( ( ssItem @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1362,plain,
! [SV85: $i,SV273: $i] :
( ( ( ssList @ SV273 )
= $false )
| ( ( ( tl @ ( cons @ SV85 @ SV273 ) )
= SV273 )
= $true )
| ( ( ssItem @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1363,plain,
! [SV86: $i,SV274: $i] :
( ( ( ssList @ SV274 )
= $false )
| ( ( ( hd @ ( cons @ SV86 @ SV274 ) )
= SV86 )
= $true )
| ( ( ssItem @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1364,plain,
! [SV182: $i,SV87: $i] :
( ( ( ssItem @ SV87 )
= $false )
| ( ( ~ ( ssList @ SV182 ) )
= $true )
| ( ( ( cons @ SV87 @ SV182 )
= nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1365,plain,
! [SV183: $i,SV88: $i] :
( ( ( ssItem @ SV88 )
= $false )
| ( ( ~ ( ssList @ SV183 ) )
= $true )
| ( ( ( cons @ SV88 @ SV183 )
= SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1366,plain,
! [SV89: $i,SV275: $i] :
( ( ( ssList @ SV275 )
= $false )
| ( ( ( SV275 = SV89 )
| ( neq @ SV275 @ SV89 ) )
= $true )
| ( ( ssList @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1367,plain,
! [SV91: $i,SV276: $i] :
( ( ( ssItem @ SV276 )
= $false )
| ( ( ( SV276 = SV91 )
| ( neq @ SV276 @ SV91 ) )
= $true )
| ( ( ssItem @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1368,plain,
! [SV92: $i,SV184: $i] :
( ( ( ssItem @ SV184 )
= $false )
| ( ( ~ ( ssItem @ SV92 )
| ( leq @ SV92 @ SV184 ) )
= $true )
| ( ( lt @ SV92 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1369,plain,
! [SV94: $i,SV185: $i] :
( ( ( ssItem @ SV185 )
= $false )
| ( ( ~ ( ssItem @ SV94 )
| ( lt @ SV185 @ SV94 ) )
= $true )
| ( ( gt @ SV94 @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1370,plain,
! [SV186: $i,SV95: $i] :
( ( ( ssItem @ SV95 )
= $false )
| ( ( ~ ( ssItem @ SV186 )
| ( gt @ SV186 @ SV95 ) )
= $true )
| ( ( lt @ SV95 @ SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1371,plain,
! [SV96: $i,SV187: $i] :
( ( ( ssItem @ SV187 )
= $false )
| ( ( ~ ( ssItem @ SV96 )
| ( leq @ SV187 @ SV96 ) )
= $true )
| ( ( geq @ SV96 @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1372,plain,
! [SV188: $i,SV97: $i] :
( ( ( ssItem @ SV97 )
= $false )
| ( ( ~ ( ssItem @ SV188 )
| ( geq @ SV188 @ SV97 ) )
= $true )
| ( ( leq @ SV97 @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1373,plain,
! [SV99: $i,SV189: $i] :
( ( ( gt @ SV189 @ SV99 )
= $false )
| ( ( ~ ( ssItem @ SV99 )
| ~ ( ssItem @ SV189 ) )
= $true )
| ( ( gt @ SV99 @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1288]) ).
thf(1374,plain,
! [SV190: $i,SV100: $i] :
( ( ( lt @ SV100 @ SV190 )
= $false )
| ( ( ~ ( ssItem @ SV190 )
| ~ ( ssItem @ SV100 ) )
= $true )
| ( ( SV100 = SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1375,plain,
! [SV101: $i,SV319: $i] :
( ( ( ~ ( ssItem @ SV319 )
| ( strictorderedP @ ( cons @ SV319 @ SV101 ) ) )
= $true )
| ( ( ssList @ SV101 )
= $false )
| ( ( nil = SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1376,plain,
! [SV102: $i,SV320: $i] :
( ( ( ~ ( ssItem @ SV320 )
| ( totalorderedP @ ( cons @ SV320 @ SV102 ) ) )
= $true )
| ( ( ssList @ SV102 )
= $false )
| ( ( nil = SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1377,plain,
! [SV103: $i,SV191: $i] :
( ( ( lt @ SV191 @ SV103 )
= $false )
| ( ( ~ ( ssItem @ SV103 )
| ~ ( ssItem @ SV191 ) )
= $true )
| ( ( lt @ SV103 @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1378,plain,
! [SV192: $i,SV104: $i] :
( ( ( neq @ SV104 @ SV192 )
= $false )
| ( ( ~ ( ssList @ SV192 )
| ~ ( ssList @ SV104 ) )
= $true )
| ( ( SV104 = SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1379,plain,
! [SV193: $i,SV105: $i] :
( ( ( ssItem @ SV105 )
= $false )
| ( ( ~ ( ssList @ SV193 )
| ( singletonP @ SV193 ) )
= $true )
| ( ( ( cons @ SV105 @ nil )
= SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1380,plain,
! [SV194: $i,SV106: $i] :
( ( ( neq @ SV106 @ SV194 )
= $false )
| ( ( ~ ( ssItem @ SV194 )
| ~ ( ssItem @ SV106 ) )
= $true )
| ( ( SV106 = SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1381,plain,
! [SV107: $i,SV195: $i] :
( ( ( ssList @ SV195 )
= $false )
| ( ( ~ ( ssList @ SV107 )
| ( nil = SV107 ) )
= $true )
| ( ( ( app @ SV107 @ SV195 )
= nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1382,plain,
! [SV108: $i,SV196: $i] :
( ( ( ssList @ SV196 )
= $false )
| ( ( ~ ( ssList @ SV108 )
| ( nil = SV196 ) )
= $true )
| ( ( ( app @ SV108 @ SV196 )
= nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1383,plain,
! [SV109: $i,SV277: $i] :
( ( ( ssList @ SV277 )
= $false )
| ( ( ( app @ ( cons @ SV109 @ nil ) @ SV277 )
= ( cons @ SV109 @ SV277 ) )
= $true )
| ( ( ssItem @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1298]) ).
thf(1384,plain,
! [SV110: $i,SV197: $i] :
( ( ( ssItem @ SV197 )
= $false )
| ( ( ~ ( ssItem @ SV110 )
| ( SV110 = SV197 )
| ( lt @ SV110 @ SV197 ) )
= $true )
| ( ( leq @ SV110 @ SV197 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1385,plain,
! [SV111: $i,SV198: $i] :
( ( ( ssItem @ SV198 )
= $false )
| ( ( ~ ( ssItem @ SV111 )
| ( SV111 = SV198 )
| ( lt @ SV111 @ SV198 ) )
= $true )
| ( ( leq @ SV111 @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1300]) ).
thf(1386,plain,
! [SV112: $i,SV278: $i] :
( ( ( ssList @ SV278 )
= $false )
| ( ( ( nil = SV278 )
| ( ( hd @ ( app @ SV278 @ SV112 ) )
= ( hd @ SV278 ) ) )
= $true )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1301]) ).
thf(1387,plain,
! [SV113: $i,SV199: $i] :
( ( ( ssList @ SV199 )
= $false )
| ( ( ~ ( ssItem @ SV113 )
| ( nil = SV199 )
| ( strictorderedP @ SV199 ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV113 @ SV199 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1302]) ).
thf(1388,plain,
! [SV114: $i,SV200: $i] :
( ( ( ssList @ SV200 )
= $false )
| ( ( ~ ( ssItem @ SV114 )
| ( nil = SV200 )
| ( totalorderedP @ SV200 ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV114 @ SV200 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1389,plain,
! [SV115: $i,SV201: $i] :
( ( ( geq @ SV201 @ SV115 )
= $false )
| ( ( ~ ( ssItem @ SV115 )
| ~ ( ssItem @ SV201 )
| ( SV201 = SV115 ) )
= $true )
| ( ( geq @ SV115 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1390,plain,
! [SV116: $i,SV202: $i] :
( ( ( segmentP @ SV202 @ SV116 )
= $false )
| ( ( ~ ( ssList @ SV116 )
| ~ ( ssList @ SV202 )
| ( SV202 = SV116 ) )
= $true )
| ( ( segmentP @ SV116 @ SV202 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1391,plain,
! [SV117: $i,SV203: $i] :
( ( ( rearsegP @ SV203 @ SV117 )
= $false )
| ( ( ~ ( ssList @ SV117 )
| ~ ( ssList @ SV203 )
| ( SV203 = SV117 ) )
= $true )
| ( ( rearsegP @ SV117 @ SV203 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1306]) ).
thf(1392,plain,
! [SV118: $i,SV204: $i] :
( ( ( frontsegP @ SV204 @ SV118 )
= $false )
| ( ( ~ ( ssList @ SV118 )
| ~ ( ssList @ SV204 )
| ( SV204 = SV118 ) )
= $true )
| ( ( frontsegP @ SV118 @ SV204 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1307]) ).
thf(1393,plain,
! [SV119: $i,SV205: $i] :
( ( ( leq @ SV205 @ SV119 )
= $false )
| ( ( ~ ( ssItem @ SV119 )
| ~ ( ssItem @ SV205 )
| ( SV205 = SV119 ) )
= $true )
| ( ( leq @ SV119 @ SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1394,plain,
! [SV120: $i,SV206: $i] :
( ( ( ssList @ SV206 )
= $false )
| ( ( ~ ( ssList @ SV120 )
| ( ( app @ ( skaf46 @ SV120 @ SV206 ) @ SV206 )
= SV120 ) )
= $true )
| ( ( rearsegP @ SV120 @ SV206 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1309]) ).
thf(1395,plain,
! [SV121: $i,SV207: $i] :
( ( ( ssList @ SV207 )
= $false )
| ( ( ~ ( ssList @ SV121 )
| ( ( app @ SV207 @ ( skaf45 @ SV121 @ SV207 ) )
= SV121 ) )
= $true )
| ( ( frontsegP @ SV121 @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1396,plain,
! [SV122: $i,SV279: $i] :
( ( ( ssList @ SV279 )
= $false )
| ( ( ( nil = SV279 )
| ( ( tl @ ( app @ SV279 @ SV122 ) )
= ( app @ ( tl @ SV279 ) @ SV122 ) ) )
= $true )
| ( ( ssList @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1397,plain,
! [SV123: $i,SV208: $i] :
( ( ( ssList @ SV208 )
= $false )
| ( ( ~ ( ssItem @ SV123 )
| ( nil = SV208 )
| ( lt @ SV123 @ ( hd @ SV208 ) ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV123 @ SV208 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1398,plain,
! [SV124: $i,SV209: $i] :
( ( ( ssList @ SV209 )
= $false )
| ( ( ~ ( ssItem @ SV124 )
| ( nil = SV209 )
| ( leq @ SV124 @ ( hd @ SV209 ) ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV124 @ SV209 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1399,plain,
! [SV125: $i,SV210: $i,SV298: $i] :
( ( ( ~ ( ssList @ SV298 ) )
= $true )
| ( ( ~ ( ssList @ SV210 )
| ~ ( ssList @ SV125 )
| ( rearsegP @ ( app @ SV298 @ SV125 ) @ SV210 ) )
= $true )
| ( ( rearsegP @ SV125 @ SV210 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1314]) ).
thf(1400,plain,
! [SV126: $i,SV211: $i,SV299: $i] :
( ( ( ~ ( ssList @ SV299 ) )
= $true )
| ( ( ~ ( ssList @ SV211 )
| ~ ( ssList @ SV126 )
| ( frontsegP @ ( app @ SV126 @ SV299 ) @ SV211 ) )
= $true )
| ( ( frontsegP @ SV126 @ SV211 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1315]) ).
thf(1401,plain,
! [SV127: $i,SV212: $i,SV300: $i] :
( ( ( ~ ( ssList @ SV300 ) )
= $true )
| ( ( ~ ( ssItem @ SV212 )
| ~ ( ssItem @ SV127 )
| ( memberP @ ( cons @ SV212 @ SV300 ) @ SV127 ) )
= $true )
| ( ( SV127 = SV212 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1316]) ).
thf(1402,plain,
! [SV213: $i,SV128: $i] :
( ( ( ssList @ SV128 )
= $false )
| ( ( ! [SY490: $i] :
( ~ ( ssItem @ SY490 )
| ~ ( ssItem @ SV213 )
| ( memberP @ ( cons @ SY490 @ SV128 ) @ SV213 ) ) )
= $true )
| ( ( memberP @ SV128 @ SV213 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1403,plain,
! [SV214: $i,SV129: $i,SV301: $i] :
( ( ( ~ ( ssList @ SV301 ) )
= $true )
| ( ( ~ ( ssList @ SV129 )
| ~ ( ssItem @ SV214 )
| ( memberP @ ( app @ SV129 @ SV301 ) @ SV214 ) )
= $true )
| ( ( memberP @ SV129 @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1318]) ).
thf(1404,plain,
! [SV215: $i,SV130: $i] :
( ( ( ssList @ SV130 )
= $false )
| ( ( ! [SY492: $i] :
( ~ ( ssList @ SY492 )
| ~ ( ssItem @ SV215 )
| ( memberP @ ( app @ SY492 @ SV130 ) @ SV215 ) ) )
= $true )
| ( ( memberP @ SV130 @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1405,plain,
! [SV251: $i,SV216: $i,SV132: $i] :
( ( ( ~ ( ssList @ SV132 ) )
= $true )
| ( ( ~ ( ssList @ SV216 )
| ~ ( ssList @ SV251 )
| ( rearsegP @ SV251 @ SV216 ) )
= $true )
| ( ( ( app @ SV132 @ SV216 )
= SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1320]) ).
thf(1406,plain,
! [SV252: $i,SV133: $i,SV217: $i] :
( ( ( ~ ( ssList @ SV217 ) )
= $true )
| ( ( ~ ( ssList @ SV133 )
| ~ ( ssList @ SV252 )
| ( frontsegP @ SV252 @ SV133 ) )
= $true )
| ( ( ( app @ SV133 @ SV217 )
= SV252 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1321]) ).
thf(1407,plain,
! [SV134: $i,SV280: $i] :
( ( ( nil = SV280 )
= $false )
| ( ( ~ ( ssList @ SV280 )
| ~ ( ssList @ SV134 )
| ( ( app @ SV134 @ SV280 )
= nil ) )
= $true )
| ( ( nil = SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1322]) ).
thf(1408,plain,
! [SV135: $i,SV302: $i,SV218: $i] :
( ( ( ~ ( gt @ SV218 @ SV302 ) )
= $true )
| ( ( ~ ( ssItem @ SV302 )
| ~ ( ssItem @ SV218 )
| ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SV302 ) )
= $true )
| ( ( gt @ SV135 @ SV218 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1323]) ).
thf(1409,plain,
! [SV136: $i,SV303: $i,SV219: $i] :
( ( ( ~ ( lt @ SV219 @ SV303 ) )
= $true )
| ( ( ~ ( ssItem @ SV303 )
| ~ ( ssItem @ SV219 )
| ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SV303 ) )
= $true )
| ( ( leq @ SV136 @ SV219 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1324]) ).
thf(1410,plain,
! [SV137: $i,SV304: $i,SV220: $i] :
( ( ( ~ ( geq @ SV220 @ SV304 ) )
= $true )
| ( ( ~ ( ssItem @ SV304 )
| ~ ( ssItem @ SV220 )
| ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SV304 ) )
= $true )
| ( ( geq @ SV137 @ SV220 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1325]) ).
thf(1411,plain,
! [SV138: $i,SV281: $i] :
( ( ( ssList @ SV281 )
= $false )
| ( ( ! [SY575: $i] :
( ~ ( ssList @ SY575 )
| ( ( app @ ( app @ SY575 @ SV281 ) @ SV138 )
= ( app @ SY575 @ ( app @ SV281 @ SV138 ) ) ) ) )
= $true )
| ( ( ssList @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1412,plain,
! [SV253: $i,SV139: $i,SV221: $i] :
( ( ( ~ ( ssList @ SV221 ) )
= $true )
| ( ( ~ ( ssList @ SV139 )
| ~ ( ssList @ SV253 )
| ( SV221 = SV253 ) )
= $true )
| ( ( ( app @ SV139 @ SV221 )
= ( app @ SV139 @ SV253 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1327]) ).
thf(1413,plain,
! [SV254: $i,SV222: $i,SV140: $i] :
( ( ( ~ ( ssList @ SV140 ) )
= $true )
| ( ( ~ ( ssList @ SV222 )
| ~ ( ssList @ SV254 )
| ( SV140 = SV254 ) )
= $true )
| ( ( ( app @ SV140 @ SV222 )
= ( app @ SV254 @ SV222 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1328]) ).
thf(1414,plain,
! [SV141: $i,SV305: $i,SV223: $i] :
( ( ( ~ ( segmentP @ SV223 @ SV305 ) )
= $true )
| ( ( ~ ( ssList @ SV305 )
| ~ ( ssList @ SV223 )
| ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SV305 ) )
= $true )
| ( ( segmentP @ SV141 @ SV223 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1329]) ).
thf(1415,plain,
! [SV142: $i,SV306: $i,SV224: $i] :
( ( ( ~ ( rearsegP @ SV224 @ SV306 ) )
= $true )
| ( ( ~ ( ssList @ SV306 )
| ~ ( ssList @ SV224 )
| ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SV306 ) )
= $true )
| ( ( rearsegP @ SV142 @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1330]) ).
thf(1416,plain,
! [SV143: $i,SV307: $i,SV225: $i] :
( ( ( ~ ( frontsegP @ SV225 @ SV307 ) )
= $true )
| ( ( ~ ( ssList @ SV307 )
| ~ ( ssList @ SV225 )
| ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SV307 ) )
= $true )
| ( ( frontsegP @ SV143 @ SV225 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1331]) ).
thf(1417,plain,
! [SV144: $i,SV308: $i,SV226: $i] :
( ( ( ~ ( lt @ SV226 @ SV308 ) )
= $true )
| ( ( ~ ( ssItem @ SV308 )
| ~ ( ssItem @ SV226 )
| ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SV308 ) )
= $true )
| ( ( lt @ SV144 @ SV226 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1418,plain,
! [SV145: $i,SV309: $i,SV227: $i] :
( ( ( ~ ( leq @ SV227 @ SV309 ) )
= $true )
| ( ( ~ ( ssItem @ SV309 )
| ~ ( ssItem @ SV227 )
| ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SV309 ) )
= $true )
| ( ( leq @ SV145 @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1333]) ).
thf(1419,plain,
! [SV146: $i,SV282: $i] :
( ( ( ssList @ SV282 )
= $false )
| ( ( ! [SY576: $i] :
( ~ ( ssList @ SY576 )
| ( ( cons @ SV146 @ ( app @ SV282 @ SY576 ) )
= ( app @ ( cons @ SV146 @ SV282 ) @ SY576 ) ) ) )
= $true )
| ( ( ssItem @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1420,plain,
! [SV255: $i,SV147: $i,SV228: $i] :
( ( ( ~ ( ssList @ SV228 ) )
= $true )
| ( ( ~ ( ssList @ SV147 )
| ~ ( ssItem @ SV255 )
| ( memberP @ SV228 @ SV255 )
| ( memberP @ SV147 @ SV255 ) )
= $true )
| ( ( memberP @ ( app @ SV147 @ SV228 ) @ SV255 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1335]) ).
thf(1421,plain,
! [SV148: $i,SV229: $i] :
( ( ( totalorderedP @ SV229 )
= $false )
| ( ( ~ ( ssList @ SV229 )
| ~ ( ssItem @ SV148 )
| ( nil = SV229 )
| ( totalorderedP @ ( cons @ SV148 @ SV229 ) ) )
= $true )
| ( ( leq @ SV148 @ ( hd @ SV229 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1336]) ).
thf(1422,plain,
! [SV149: $i,SV230: $i] :
( ( ( strictorderedP @ SV230 )
= $false )
| ( ( ~ ( ssList @ SV230 )
| ~ ( ssItem @ SV149 )
| ( nil = SV230 )
| ( strictorderedP @ ( cons @ SV149 @ SV230 ) ) )
= $true )
| ( ( lt @ SV149 @ ( hd @ SV230 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1423,plain,
! [SV256: $i,SV150: $i,SV231: $i] :
( ( ( ~ ( ssList @ SV231 ) )
= $true )
| ( ( ~ ( ssItem @ SV150 )
| ~ ( ssItem @ SV256 )
| ( SV256 = SV150 )
| ( memberP @ SV231 @ SV256 ) )
= $true )
| ( ( memberP @ ( cons @ SV150 @ SV231 ) @ SV256 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1338]) ).
thf(1424,plain,
! [SV157: $i,SV232: $i] :
( ( ( ssList @ SV232 )
= $false )
| ( ( ~ ( ssList @ SV157 )
| ( ( app @ ( app @ ( skaf47 @ SV157 @ SV232 ) @ SV232 ) @ ( skaf48 @ SV232 @ SV157 ) )
= SV157 ) )
= $true )
| ( ( segmentP @ SV157 @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1425,plain,
! [SV158: $i,SV233: $i] :
( ( ( ssItem @ SV233 )
= $false )
| ( ( ~ ( ssList @ SV158 )
| ( ( app @ ( skaf42 @ SV158 @ SV233 ) @ ( cons @ SV233 @ ( skaf43 @ SV233 @ SV158 ) ) )
= SV158 ) )
= $true )
| ( ( memberP @ SV158 @ SV233 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1426,plain,
! [SV283: $i,SV257: $i,SV234: $i,SV159: $i] :
( ( ( ( cons @ SV159 @ SV234 )
= ( cons @ SV257 @ SV283 ) )
= $false )
| ( ( ~ ( ssItem @ SV257 )
| ~ ( ssItem @ SV159 )
| ~ ( ssList @ SV283 )
| ~ ( ssList @ SV234 )
| ( SV159 = SV257 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1341]) ).
thf(1427,plain,
! [SV284: $i,SV258: $i,SV235: $i,SV160: $i] :
( ( ( ( cons @ SV160 @ SV235 )
= ( cons @ SV258 @ SV284 ) )
= $false )
| ( ( ~ ( ssItem @ SV258 )
| ~ ( ssItem @ SV160 )
| ~ ( ssList @ SV284 )
| ~ ( ssList @ SV235 )
| ( SV284 = SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1342]) ).
thf(1428,plain,
! [SV161: $i,SV236: $i,SV310: $i] :
( ( ( ~ ( ssList @ SV310 ) )
= $true )
| ( ( ! [SY589: $i] :
( ~ ( ssList @ SY589 )
| ~ ( ssList @ SV236 )
| ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SY589 @ SV161 ) @ SV310 ) @ SV236 ) ) )
= $true )
| ( ( segmentP @ SV161 @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1343]) ).
thf(1429,plain,
! [SV285: $i,SV259: $i,SV237: $i,SV162: $i] :
( ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
= SV285 )
= $false )
| ( ( ~ ( ssList @ SV259 )
| ~ ( ssList @ SV162 )
| ~ ( ssList @ SV237 )
| ~ ( ssList @ SV285 )
| ( segmentP @ SV285 @ SV237 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1430,plain,
! [SV286: $i,SV260: $i,SV238: $i,SV163: $i] :
( ( ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) )
= $false )
| ( ( ~ ( ssList @ SV286 )
| ~ ( ssList @ SV238 )
| ~ ( ssItem @ SV260 )
| ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SV286 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1431,plain,
! [SV287: $i,SV261: $i,SV239: $i,SV164: $i] :
( ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
= SV287 )
= $false )
| ( ( ~ ( ssList @ SV261 )
| ~ ( ssList @ SV164 )
| ~ ( ssItem @ SV239 )
| ~ ( ssList @ SV287 )
| ( memberP @ SV287 @ SV239 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1346]) ).
thf(1432,plain,
! [SV288: $i,SV262: $i,SV240: $i,SV165: $i] :
( ( ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) )
= $false )
| ( ( ~ ( ssList @ SV288 )
| ~ ( ssList @ SV240 )
| ~ ( ssItem @ SV262 )
| ~ ( ssItem @ SV165 )
| ( SV165 = SV262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1347]) ).
thf(1433,plain,
! [SV241: $i,SV166: $i] :
( ( ( ( hd @ SV166 )
= ( hd @ SV241 ) )
= $false )
| ( ( ~ ( ssList @ SV166 )
| ~ ( ssList @ SV241 )
| ( nil = SV241 )
| ( SV166 = SV241 )
| ( nil = SV166 ) )
= $true )
| ( ( ( tl @ SV166 )
= ( tl @ SV241 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1434,plain,
! [SV167: $i,SV242: $i,SV321: $i,SV311: $i] :
( ( ( ( SV311 != SV321 )
| ~ ( ssList @ SV242 )
| ~ ( ssList @ SV167 )
| ~ ( ssItem @ SV321 )
| ~ ( ssItem @ SV311 )
| ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) ) )
= $true )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1435,plain,
! [SV312: $i,SV289: $i,SV263: $i,SV243: $i,SV168: $i] :
( ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
!= SV312 )
= $true )
| ( ( ~ ( ssList @ SV289 )
| ~ ( ssList @ SV263 )
| ~ ( ssList @ SV168 )
| ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1350]) ).
thf(1436,plain,
! [SV313: $i,SV290: $i,SV264: $i,SV244: $i,SV169: $i] :
( ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
!= SV313 )
= $true )
| ( ( ~ ( ssList @ SV290 )
| ~ ( ssList @ SV169 )
| ~ ( ssItem @ SV264 )
| ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1351]) ).
thf(1437,plain,
! [SV322: $i,SV314: $i,SV291: $i,SV265: $i,SV245: $i,SV170: $i] :
( ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
!= SV322 )
| ~ ( ssList @ SV314 )
| ~ ( ssList @ SV265 )
| ~ ( ssList @ SV170 )
| ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1438,plain,
! [SV323: $i,SV315: $i,SV292: $i,SV266: $i,SV246: $i,SV171: $i] :
( ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
!= SV323 )
| ~ ( ssList @ SV315 )
| ~ ( ssList @ SV266 )
| ~ ( ssList @ SV171 )
| ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1439,plain,
! [SV324: $i,SV316: $i,SV293: $i,SV267: $i,SV247: $i,SV172: $i] :
( ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
!= SV324 )
| ~ ( ssList @ SV316 )
| ~ ( ssList @ SV267 )
| ~ ( ssList @ SV172 )
| ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1354]) ).
thf(1440,plain,
! [SV325: $i,SV317: $i,SV294: $i,SV268: $i,SV248: $i,SV173: $i] :
( ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
!= SV325 )
| ~ ( ssList @ SV317 )
| ~ ( ssList @ SV268 )
| ~ ( ssList @ SV173 )
| ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1441,plain,
! [SV295: $i,SV269: $i,SV249: $i,SV174: $i] :
( ( ( leq @ SV174 @ SV249 )
= $false )
| ( ( ~ ( leq @ SV249 @ SV174 )
| ! [SY587: $i,SY588: $i] :
( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SY587 ) )
!= SY588 )
| ~ ( ssList @ SY587 )
| ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SY588 )
| ~ ( ssList @ SY588 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1442,plain,
! [SV270: $i,SV1: $i] :
( ( ( ( app @ ( cons @ SV1 @ nil ) @ SV270 )
!= sk4 )
= $true )
| ( ( ( app @ SV270 @ ( cons @ SV1 @ nil ) )
= sk3 )
= $true )
| ( ( ssList @ SV270 )
= $false )
| ( ( ssItem @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1357]) ).
thf(1443,plain,
! [SV175: $i,SV296: $i] :
( ( ( ssList @ SV296 )
= $false )
| ( ( ( ( app @ ( cons @ SV175 @ nil ) @ SV296 )
!= sk2 )
| ( ( app @ SV296 @ ( cons @ SV175 @ nil ) )
!= sk1 ) )
= $true )
| ( ( ssItem @ SV175 )
= $false )
| ( ( nil = sk2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1444,plain,
! [SV250: $i,SV318: $i] :
( ( ( ~ ( ssList @ SV318 ) )
= $true )
| ( ( ( ( app @ ( cons @ SV250 @ nil ) @ SV318 )
!= sk2 )
| ( ( app @ SV318 @ ( cons @ SV250 @ nil ) )
!= sk1 ) )
= $true )
| ( ( ssItem @ SV250 )
= $false )
| ( ( nil = sk1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1359]) ).
thf(1445,plain,
! [SV87: $i,SV182: $i] :
( ( ( ssList @ SV182 )
= $false )
| ( ( ssItem @ SV87 )
= $false )
| ( ( ( cons @ SV87 @ SV182 )
= nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1446,plain,
! [SV88: $i,SV183: $i] :
( ( ( ssList @ SV183 )
= $false )
| ( ( ssItem @ SV88 )
= $false )
| ( ( ( cons @ SV88 @ SV183 )
= SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1365]) ).
thf(1447,plain,
! [SV89: $i,SV275: $i] :
( ( ( SV275 = SV89 )
= $true )
| ( ( neq @ SV275 @ SV89 )
= $true )
| ( ( ssList @ SV275 )
= $false )
| ( ( ssList @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1448,plain,
! [SV91: $i,SV276: $i] :
( ( ( SV276 = SV91 )
= $true )
| ( ( neq @ SV276 @ SV91 )
= $true )
| ( ( ssItem @ SV276 )
= $false )
| ( ( ssItem @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1367]) ).
thf(1449,plain,
! [SV184: $i,SV92: $i] :
( ( ( ~ ( ssItem @ SV92 ) )
= $true )
| ( ( leq @ SV92 @ SV184 )
= $true )
| ( ( ssItem @ SV184 )
= $false )
| ( ( lt @ SV92 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1450,plain,
! [SV185: $i,SV94: $i] :
( ( ( ~ ( ssItem @ SV94 ) )
= $true )
| ( ( lt @ SV185 @ SV94 )
= $true )
| ( ( ssItem @ SV185 )
= $false )
| ( ( gt @ SV94 @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1369]) ).
thf(1451,plain,
! [SV95: $i,SV186: $i] :
( ( ( ~ ( ssItem @ SV186 ) )
= $true )
| ( ( gt @ SV186 @ SV95 )
= $true )
| ( ( ssItem @ SV95 )
= $false )
| ( ( lt @ SV95 @ SV186 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1370]) ).
thf(1452,plain,
! [SV187: $i,SV96: $i] :
( ( ( ~ ( ssItem @ SV96 ) )
= $true )
| ( ( leq @ SV187 @ SV96 )
= $true )
| ( ( ssItem @ SV187 )
= $false )
| ( ( geq @ SV96 @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1453,plain,
! [SV97: $i,SV188: $i] :
( ( ( ~ ( ssItem @ SV188 ) )
= $true )
| ( ( geq @ SV188 @ SV97 )
= $true )
| ( ( ssItem @ SV97 )
= $false )
| ( ( leq @ SV97 @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1454,plain,
! [SV189: $i,SV99: $i] :
( ( ( ~ ( ssItem @ SV99 ) )
= $true )
| ( ( ~ ( ssItem @ SV189 ) )
= $true )
| ( ( gt @ SV189 @ SV99 )
= $false )
| ( ( gt @ SV99 @ SV189 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1373]) ).
thf(1455,plain,
! [SV100: $i,SV190: $i] :
( ( ( ~ ( ssItem @ SV190 ) )
= $true )
| ( ( ~ ( ssItem @ SV100 ) )
= $true )
| ( ( lt @ SV100 @ SV190 )
= $false )
| ( ( SV100 = SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1374]) ).
thf(1456,plain,
! [SV101: $i,SV319: $i] :
( ( ( ~ ( ssItem @ SV319 ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV319 @ SV101 ) )
= $true )
| ( ( ssList @ SV101 )
= $false )
| ( ( nil = SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1457,plain,
! [SV102: $i,SV320: $i] :
( ( ( ~ ( ssItem @ SV320 ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV320 @ SV102 ) )
= $true )
| ( ( ssList @ SV102 )
= $false )
| ( ( nil = SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1376]) ).
thf(1458,plain,
! [SV191: $i,SV103: $i] :
( ( ( ~ ( ssItem @ SV103 ) )
= $true )
| ( ( ~ ( ssItem @ SV191 ) )
= $true )
| ( ( lt @ SV191 @ SV103 )
= $false )
| ( ( lt @ SV103 @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1377]) ).
thf(1459,plain,
! [SV104: $i,SV192: $i] :
( ( ( ~ ( ssList @ SV192 ) )
= $true )
| ( ( ~ ( ssList @ SV104 ) )
= $true )
| ( ( neq @ SV104 @ SV192 )
= $false )
| ( ( SV104 = SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1378]) ).
thf(1460,plain,
! [SV105: $i,SV193: $i] :
( ( ( ~ ( ssList @ SV193 ) )
= $true )
| ( ( singletonP @ SV193 )
= $true )
| ( ( ssItem @ SV105 )
= $false )
| ( ( ( cons @ SV105 @ nil )
= SV193 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1379]) ).
thf(1461,plain,
! [SV106: $i,SV194: $i] :
( ( ( ~ ( ssItem @ SV194 ) )
= $true )
| ( ( ~ ( ssItem @ SV106 ) )
= $true )
| ( ( neq @ SV106 @ SV194 )
= $false )
| ( ( SV106 = SV194 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1380]) ).
thf(1462,plain,
! [SV195: $i,SV107: $i] :
( ( ( ~ ( ssList @ SV107 ) )
= $true )
| ( ( nil = SV107 )
= $true )
| ( ( ssList @ SV195 )
= $false )
| ( ( ( app @ SV107 @ SV195 )
= nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1381]) ).
thf(1463,plain,
! [SV196: $i,SV108: $i] :
( ( ( ~ ( ssList @ SV108 ) )
= $true )
| ( ( nil = SV196 )
= $true )
| ( ( ssList @ SV196 )
= $false )
| ( ( ( app @ SV108 @ SV196 )
= nil )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1382]) ).
thf(1464,plain,
! [SV197: $i,SV110: $i] :
( ( ( ~ ( ssItem @ SV110 ) )
= $true )
| ( ( ( SV110 = SV197 )
| ( lt @ SV110 @ SV197 ) )
= $true )
| ( ( ssItem @ SV197 )
= $false )
| ( ( leq @ SV110 @ SV197 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1384]) ).
thf(1465,plain,
! [SV198: $i,SV111: $i] :
( ( ( ~ ( ssItem @ SV111 ) )
= $true )
| ( ( ( SV111 = SV198 )
| ( lt @ SV111 @ SV198 ) )
= $true )
| ( ( ssItem @ SV198 )
= $false )
| ( ( leq @ SV111 @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1385]) ).
thf(1466,plain,
! [SV112: $i,SV278: $i] :
( ( ( nil = SV278 )
= $true )
| ( ( ( hd @ ( app @ SV278 @ SV112 ) )
= ( hd @ SV278 ) )
= $true )
| ( ( ssList @ SV278 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1386]) ).
thf(1467,plain,
! [SV199: $i,SV113: $i] :
( ( ( ~ ( ssItem @ SV113 ) )
= $true )
| ( ( ( nil = SV199 )
| ( strictorderedP @ SV199 ) )
= $true )
| ( ( ssList @ SV199 )
= $false )
| ( ( strictorderedP @ ( cons @ SV113 @ SV199 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1468,plain,
! [SV200: $i,SV114: $i] :
( ( ( ~ ( ssItem @ SV114 ) )
= $true )
| ( ( ( nil = SV200 )
| ( totalorderedP @ SV200 ) )
= $true )
| ( ( ssList @ SV200 )
= $false )
| ( ( totalorderedP @ ( cons @ SV114 @ SV200 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1388]) ).
thf(1469,plain,
! [SV201: $i,SV115: $i] :
( ( ( ~ ( ssItem @ SV115 ) )
= $true )
| ( ( ~ ( ssItem @ SV201 )
| ( SV201 = SV115 ) )
= $true )
| ( ( geq @ SV201 @ SV115 )
= $false )
| ( ( geq @ SV115 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1389]) ).
thf(1470,plain,
! [SV202: $i,SV116: $i] :
( ( ( ~ ( ssList @ SV116 ) )
= $true )
| ( ( ~ ( ssList @ SV202 )
| ( SV202 = SV116 ) )
= $true )
| ( ( segmentP @ SV202 @ SV116 )
= $false )
| ( ( segmentP @ SV116 @ SV202 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1390]) ).
thf(1471,plain,
! [SV203: $i,SV117: $i] :
( ( ( ~ ( ssList @ SV117 ) )
= $true )
| ( ( ~ ( ssList @ SV203 )
| ( SV203 = SV117 ) )
= $true )
| ( ( rearsegP @ SV203 @ SV117 )
= $false )
| ( ( rearsegP @ SV117 @ SV203 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1391]) ).
thf(1472,plain,
! [SV204: $i,SV118: $i] :
( ( ( ~ ( ssList @ SV118 ) )
= $true )
| ( ( ~ ( ssList @ SV204 )
| ( SV204 = SV118 ) )
= $true )
| ( ( frontsegP @ SV204 @ SV118 )
= $false )
| ( ( frontsegP @ SV118 @ SV204 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1392]) ).
thf(1473,plain,
! [SV205: $i,SV119: $i] :
( ( ( ~ ( ssItem @ SV119 ) )
= $true )
| ( ( ~ ( ssItem @ SV205 )
| ( SV205 = SV119 ) )
= $true )
| ( ( leq @ SV205 @ SV119 )
= $false )
| ( ( leq @ SV119 @ SV205 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1393]) ).
thf(1474,plain,
! [SV206: $i,SV120: $i] :
( ( ( ~ ( ssList @ SV120 ) )
= $true )
| ( ( ( app @ ( skaf46 @ SV120 @ SV206 ) @ SV206 )
= SV120 )
= $true )
| ( ( ssList @ SV206 )
= $false )
| ( ( rearsegP @ SV120 @ SV206 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1394]) ).
thf(1475,plain,
! [SV207: $i,SV121: $i] :
( ( ( ~ ( ssList @ SV121 ) )
= $true )
| ( ( ( app @ SV207 @ ( skaf45 @ SV121 @ SV207 ) )
= SV121 )
= $true )
| ( ( ssList @ SV207 )
= $false )
| ( ( frontsegP @ SV121 @ SV207 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1395]) ).
thf(1476,plain,
! [SV122: $i,SV279: $i] :
( ( ( nil = SV279 )
= $true )
| ( ( ( tl @ ( app @ SV279 @ SV122 ) )
= ( app @ ( tl @ SV279 ) @ SV122 ) )
= $true )
| ( ( ssList @ SV279 )
= $false )
| ( ( ssList @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1396]) ).
thf(1477,plain,
! [SV208: $i,SV123: $i] :
( ( ( ~ ( ssItem @ SV123 ) )
= $true )
| ( ( ( nil = SV208 )
| ( lt @ SV123 @ ( hd @ SV208 ) ) )
= $true )
| ( ( ssList @ SV208 )
= $false )
| ( ( strictorderedP @ ( cons @ SV123 @ SV208 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1397]) ).
thf(1478,plain,
! [SV209: $i,SV124: $i] :
( ( ( ~ ( ssItem @ SV124 ) )
= $true )
| ( ( ( nil = SV209 )
| ( leq @ SV124 @ ( hd @ SV209 ) ) )
= $true )
| ( ( ssList @ SV209 )
= $false )
| ( ( totalorderedP @ ( cons @ SV124 @ SV209 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1479,plain,
! [SV125: $i,SV210: $i,SV298: $i] :
( ( ( ssList @ SV298 )
= $false )
| ( ( ~ ( ssList @ SV210 )
| ~ ( ssList @ SV125 )
| ( rearsegP @ ( app @ SV298 @ SV125 ) @ SV210 ) )
= $true )
| ( ( rearsegP @ SV125 @ SV210 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1480,plain,
! [SV126: $i,SV211: $i,SV299: $i] :
( ( ( ssList @ SV299 )
= $false )
| ( ( ~ ( ssList @ SV211 )
| ~ ( ssList @ SV126 )
| ( frontsegP @ ( app @ SV126 @ SV299 ) @ SV211 ) )
= $true )
| ( ( frontsegP @ SV126 @ SV211 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1400]) ).
thf(1481,plain,
! [SV127: $i,SV212: $i,SV300: $i] :
( ( ( ssList @ SV300 )
= $false )
| ( ( ~ ( ssItem @ SV212 )
| ~ ( ssItem @ SV127 )
| ( memberP @ ( cons @ SV212 @ SV300 ) @ SV127 ) )
= $true )
| ( ( SV127 = SV212 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1482,plain,
! [SV128: $i,SV213: $i,SV326: $i] :
( ( ( ~ ( ssItem @ SV326 )
| ~ ( ssItem @ SV213 )
| ( memberP @ ( cons @ SV326 @ SV128 ) @ SV213 ) )
= $true )
| ( ( ssList @ SV128 )
= $false )
| ( ( memberP @ SV128 @ SV213 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(1483,plain,
! [SV214: $i,SV129: $i,SV301: $i] :
( ( ( ssList @ SV301 )
= $false )
| ( ( ~ ( ssList @ SV129 )
| ~ ( ssItem @ SV214 )
| ( memberP @ ( app @ SV129 @ SV301 ) @ SV214 ) )
= $true )
| ( ( memberP @ SV129 @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1484,plain,
! [SV130: $i,SV215: $i,SV327: $i] :
( ( ( ~ ( ssList @ SV327 )
| ~ ( ssItem @ SV215 )
| ( memberP @ ( app @ SV327 @ SV130 ) @ SV215 ) )
= $true )
| ( ( ssList @ SV130 )
= $false )
| ( ( memberP @ SV130 @ SV215 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(1485,plain,
! [SV251: $i,SV216: $i,SV132: $i] :
( ( ( ssList @ SV132 )
= $false )
| ( ( ~ ( ssList @ SV216 )
| ~ ( ssList @ SV251 )
| ( rearsegP @ SV251 @ SV216 ) )
= $true )
| ( ( ( app @ SV132 @ SV216 )
= SV251 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1486,plain,
! [SV252: $i,SV133: $i,SV217: $i] :
( ( ( ssList @ SV217 )
= $false )
| ( ( ~ ( ssList @ SV133 )
| ~ ( ssList @ SV252 )
| ( frontsegP @ SV252 @ SV133 ) )
= $true )
| ( ( ( app @ SV133 @ SV217 )
= SV252 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1406]) ).
thf(1487,plain,
! [SV134: $i,SV280: $i] :
( ( ( ~ ( ssList @ SV280 ) )
= $true )
| ( ( ~ ( ssList @ SV134 )
| ( ( app @ SV134 @ SV280 )
= nil ) )
= $true )
| ( ( nil = SV280 )
= $false )
| ( ( nil = SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1407]) ).
thf(1488,plain,
! [SV135: $i,SV302: $i,SV218: $i] :
( ( ( gt @ SV218 @ SV302 )
= $false )
| ( ( ~ ( ssItem @ SV302 )
| ~ ( ssItem @ SV218 )
| ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SV302 ) )
= $true )
| ( ( gt @ SV135 @ SV218 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1489,plain,
! [SV136: $i,SV303: $i,SV219: $i] :
( ( ( lt @ SV219 @ SV303 )
= $false )
| ( ( ~ ( ssItem @ SV303 )
| ~ ( ssItem @ SV219 )
| ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SV303 ) )
= $true )
| ( ( leq @ SV136 @ SV219 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1490,plain,
! [SV137: $i,SV304: $i,SV220: $i] :
( ( ( geq @ SV220 @ SV304 )
= $false )
| ( ( ~ ( ssItem @ SV304 )
| ~ ( ssItem @ SV220 )
| ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SV304 ) )
= $true )
| ( ( geq @ SV137 @ SV220 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1491,plain,
! [SV138: $i,SV281: $i,SV328: $i] :
( ( ( ~ ( ssList @ SV328 )
| ( ( app @ ( app @ SV328 @ SV281 ) @ SV138 )
= ( app @ SV328 @ ( app @ SV281 @ SV138 ) ) ) )
= $true )
| ( ( ssList @ SV281 )
= $false )
| ( ( ssList @ SV138 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(1492,plain,
! [SV253: $i,SV139: $i,SV221: $i] :
( ( ( ssList @ SV221 )
= $false )
| ( ( ~ ( ssList @ SV139 )
| ~ ( ssList @ SV253 )
| ( SV221 = SV253 ) )
= $true )
| ( ( ( app @ SV139 @ SV221 )
= ( app @ SV139 @ SV253 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1493,plain,
! [SV254: $i,SV222: $i,SV140: $i] :
( ( ( ssList @ SV140 )
= $false )
| ( ( ~ ( ssList @ SV222 )
| ~ ( ssList @ SV254 )
| ( SV140 = SV254 ) )
= $true )
| ( ( ( app @ SV140 @ SV222 )
= ( app @ SV254 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1494,plain,
! [SV141: $i,SV305: $i,SV223: $i] :
( ( ( segmentP @ SV223 @ SV305 )
= $false )
| ( ( ~ ( ssList @ SV305 )
| ~ ( ssList @ SV223 )
| ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SV305 ) )
= $true )
| ( ( segmentP @ SV141 @ SV223 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1495,plain,
! [SV142: $i,SV306: $i,SV224: $i] :
( ( ( rearsegP @ SV224 @ SV306 )
= $false )
| ( ( ~ ( ssList @ SV306 )
| ~ ( ssList @ SV224 )
| ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SV306 ) )
= $true )
| ( ( rearsegP @ SV142 @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1496,plain,
! [SV143: $i,SV307: $i,SV225: $i] :
( ( ( frontsegP @ SV225 @ SV307 )
= $false )
| ( ( ~ ( ssList @ SV307 )
| ~ ( ssList @ SV225 )
| ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SV307 ) )
= $true )
| ( ( frontsegP @ SV143 @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1497,plain,
! [SV144: $i,SV308: $i,SV226: $i] :
( ( ( lt @ SV226 @ SV308 )
= $false )
| ( ( ~ ( ssItem @ SV308 )
| ~ ( ssItem @ SV226 )
| ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SV308 ) )
= $true )
| ( ( lt @ SV144 @ SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1498,plain,
! [SV145: $i,SV309: $i,SV227: $i] :
( ( ( leq @ SV227 @ SV309 )
= $false )
| ( ( ~ ( ssItem @ SV309 )
| ~ ( ssItem @ SV227 )
| ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SV309 ) )
= $true )
| ( ( leq @ SV145 @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1499,plain,
! [SV282: $i,SV146: $i,SV329: $i] :
( ( ( ~ ( ssList @ SV329 )
| ( ( cons @ SV146 @ ( app @ SV282 @ SV329 ) )
= ( app @ ( cons @ SV146 @ SV282 ) @ SV329 ) ) )
= $true )
| ( ( ssList @ SV282 )
= $false )
| ( ( ssItem @ SV146 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1419]) ).
thf(1500,plain,
! [SV255: $i,SV147: $i,SV228: $i] :
( ( ( ssList @ SV228 )
= $false )
| ( ( ~ ( ssList @ SV147 )
| ~ ( ssItem @ SV255 )
| ( memberP @ SV228 @ SV255 )
| ( memberP @ SV147 @ SV255 ) )
= $true )
| ( ( memberP @ ( app @ SV147 @ SV228 ) @ SV255 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1501,plain,
! [SV148: $i,SV229: $i] :
( ( ( ~ ( ssList @ SV229 ) )
= $true )
| ( ( ~ ( ssItem @ SV148 )
| ( nil = SV229 )
| ( totalorderedP @ ( cons @ SV148 @ SV229 ) ) )
= $true )
| ( ( totalorderedP @ SV229 )
= $false )
| ( ( leq @ SV148 @ ( hd @ SV229 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1421]) ).
thf(1502,plain,
! [SV149: $i,SV230: $i] :
( ( ( ~ ( ssList @ SV230 ) )
= $true )
| ( ( ~ ( ssItem @ SV149 )
| ( nil = SV230 )
| ( strictorderedP @ ( cons @ SV149 @ SV230 ) ) )
= $true )
| ( ( strictorderedP @ SV230 )
= $false )
| ( ( lt @ SV149 @ ( hd @ SV230 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1422]) ).
thf(1503,plain,
! [SV256: $i,SV150: $i,SV231: $i] :
( ( ( ssList @ SV231 )
= $false )
| ( ( ~ ( ssItem @ SV150 )
| ~ ( ssItem @ SV256 )
| ( SV256 = SV150 )
| ( memberP @ SV231 @ SV256 ) )
= $true )
| ( ( memberP @ ( cons @ SV150 @ SV231 ) @ SV256 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1504,plain,
! [SV232: $i,SV157: $i] :
( ( ( ~ ( ssList @ SV157 ) )
= $true )
| ( ( ( app @ ( app @ ( skaf47 @ SV157 @ SV232 ) @ SV232 ) @ ( skaf48 @ SV232 @ SV157 ) )
= SV157 )
= $true )
| ( ( ssList @ SV232 )
= $false )
| ( ( segmentP @ SV157 @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1424]) ).
thf(1505,plain,
! [SV233: $i,SV158: $i] :
( ( ( ~ ( ssList @ SV158 ) )
= $true )
| ( ( ( app @ ( skaf42 @ SV158 @ SV233 ) @ ( cons @ SV233 @ ( skaf43 @ SV233 @ SV158 ) ) )
= SV158 )
= $true )
| ( ( ssItem @ SV233 )
= $false )
| ( ( memberP @ SV158 @ SV233 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1425]) ).
thf(1506,plain,
! [SV234: $i,SV283: $i,SV159: $i,SV257: $i] :
( ( ( ~ ( ssItem @ SV257 ) )
= $true )
| ( ( ~ ( ssItem @ SV159 )
| ~ ( ssList @ SV283 )
| ~ ( ssList @ SV234 )
| ( SV159 = SV257 ) )
= $true )
| ( ( ( cons @ SV159 @ SV234 )
= ( cons @ SV257 @ SV283 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1426]) ).
thf(1507,plain,
! [SV235: $i,SV284: $i,SV160: $i,SV258: $i] :
( ( ( ~ ( ssItem @ SV258 ) )
= $true )
| ( ( ~ ( ssItem @ SV160 )
| ~ ( ssList @ SV284 )
| ~ ( ssList @ SV235 )
| ( SV284 = SV235 ) )
= $true )
| ( ( ( cons @ SV160 @ SV235 )
= ( cons @ SV258 @ SV284 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1427]) ).
thf(1508,plain,
! [SV161: $i,SV236: $i,SV310: $i] :
( ( ( ssList @ SV310 )
= $false )
| ( ( ! [SY589: $i] :
( ~ ( ssList @ SY589 )
| ~ ( ssList @ SV236 )
| ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SY589 @ SV161 ) @ SV310 ) @ SV236 ) ) )
= $true )
| ( ( segmentP @ SV161 @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1509,plain,
! [SV285: $i,SV237: $i,SV162: $i,SV259: $i] :
( ( ( ~ ( ssList @ SV259 ) )
= $true )
| ( ( ~ ( ssList @ SV162 )
| ~ ( ssList @ SV237 )
| ~ ( ssList @ SV285 )
| ( segmentP @ SV285 @ SV237 ) )
= $true )
| ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
= SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1429]) ).
thf(1510,plain,
! [SV163: $i,SV260: $i,SV238: $i,SV286: $i] :
( ( ( ~ ( ssList @ SV286 ) )
= $true )
| ( ( ~ ( ssList @ SV238 )
| ~ ( ssItem @ SV260 )
| ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SV286 ) )
= $true )
| ( ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1430]) ).
thf(1511,plain,
! [SV287: $i,SV239: $i,SV164: $i,SV261: $i] :
( ( ( ~ ( ssList @ SV261 ) )
= $true )
| ( ( ~ ( ssList @ SV164 )
| ~ ( ssItem @ SV239 )
| ~ ( ssList @ SV287 )
| ( memberP @ SV287 @ SV239 ) )
= $true )
| ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
= SV287 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1431]) ).
thf(1512,plain,
! [SV165: $i,SV262: $i,SV240: $i,SV288: $i] :
( ( ( ~ ( ssList @ SV288 ) )
= $true )
| ( ( ~ ( ssList @ SV240 )
| ~ ( ssItem @ SV262 )
| ~ ( ssItem @ SV165 )
| ( SV165 = SV262 ) )
= $true )
| ( ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1432]) ).
thf(1513,plain,
! [SV241: $i,SV166: $i] :
( ( ( ~ ( ssList @ SV166 ) )
= $true )
| ( ( ~ ( ssList @ SV241 )
| ( nil = SV241 )
| ( SV166 = SV241 )
| ( nil = SV166 ) )
= $true )
| ( ( ( hd @ SV166 )
= ( hd @ SV241 ) )
= $false )
| ( ( ( tl @ SV166 )
= ( tl @ SV241 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1433]) ).
thf(1514,plain,
! [SV167: $i,SV242: $i,SV321: $i,SV311: $i] :
( ( ( SV311 != SV321 )
= $true )
| ( ( ~ ( ssList @ SV242 )
| ~ ( ssList @ SV167 )
| ~ ( ssItem @ SV321 )
| ~ ( ssItem @ SV311 )
| ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) ) )
= $true )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1434]) ).
thf(1515,plain,
! [SV312: $i,SV289: $i,SV263: $i,SV243: $i,SV168: $i] :
( ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false )
| ( ( ~ ( ssList @ SV289 )
| ~ ( ssList @ SV263 )
| ~ ( ssList @ SV168 )
| ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1516,plain,
! [SV313: $i,SV290: $i,SV264: $i,SV244: $i,SV169: $i] :
( ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false )
| ( ( ~ ( ssList @ SV290 )
| ~ ( ssList @ SV169 )
| ~ ( ssItem @ SV264 )
| ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1517,plain,
! [SV322: $i,SV314: $i,SV291: $i,SV265: $i,SV245: $i,SV170: $i] :
( ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
!= SV322 )
= $true )
| ( ( ~ ( ssList @ SV314 )
| ~ ( ssList @ SV265 )
| ~ ( ssList @ SV170 )
| ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1437]) ).
thf(1518,plain,
! [SV323: $i,SV315: $i,SV292: $i,SV266: $i,SV246: $i,SV171: $i] :
( ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
!= SV323 )
= $true )
| ( ( ~ ( ssList @ SV315 )
| ~ ( ssList @ SV266 )
| ~ ( ssList @ SV171 )
| ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1438]) ).
thf(1519,plain,
! [SV324: $i,SV316: $i,SV293: $i,SV267: $i,SV247: $i,SV172: $i] :
( ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
!= SV324 )
= $true )
| ( ( ~ ( ssList @ SV316 )
| ~ ( ssList @ SV267 )
| ~ ( ssList @ SV172 )
| ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1439]) ).
thf(1520,plain,
! [SV325: $i,SV317: $i,SV294: $i,SV268: $i,SV248: $i,SV173: $i] :
( ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
!= SV325 )
= $true )
| ( ( ~ ( ssList @ SV317 )
| ~ ( ssList @ SV268 )
| ~ ( ssList @ SV173 )
| ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1440]) ).
thf(1521,plain,
! [SV295: $i,SV269: $i,SV174: $i,SV249: $i] :
( ( ( ~ ( leq @ SV249 @ SV174 ) )
= $true )
| ( ( ! [SY587: $i,SY588: $i] :
( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SY587 ) )
!= SY588 )
| ~ ( ssList @ SY587 )
| ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SY588 )
| ~ ( ssList @ SY588 ) ) )
= $true )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1441]) ).
thf(1522,plain,
! [SV270: $i,SV1: $i] :
( ( ( ( app @ ( cons @ SV1 @ nil ) @ SV270 )
= sk4 )
= $false )
| ( ( ( app @ SV270 @ ( cons @ SV1 @ nil ) )
= sk3 )
= $true )
| ( ( ssList @ SV270 )
= $false )
| ( ( ssItem @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1523,plain,
! [SV296: $i,SV175: $i] :
( ( ( ( app @ ( cons @ SV175 @ nil ) @ SV296 )
!= sk2 )
= $true )
| ( ( ( app @ SV296 @ ( cons @ SV175 @ nil ) )
!= sk1 )
= $true )
| ( ( ssList @ SV296 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( nil = sk2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1443]) ).
thf(1524,plain,
! [SV250: $i,SV318: $i] :
( ( ( ssList @ SV318 )
= $false )
| ( ( ( ( app @ ( cons @ SV250 @ nil ) @ SV318 )
!= sk2 )
| ( ( app @ SV318 @ ( cons @ SV250 @ nil ) )
!= sk1 ) )
= $true )
| ( ( ssItem @ SV250 )
= $false )
| ( ( nil = sk1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1525,plain,
! [SV184: $i,SV92: $i] :
( ( ( ssItem @ SV92 )
= $false )
| ( ( leq @ SV92 @ SV184 )
= $true )
| ( ( ssItem @ SV184 )
= $false )
| ( ( lt @ SV92 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1526,plain,
! [SV185: $i,SV94: $i] :
( ( ( ssItem @ SV94 )
= $false )
| ( ( lt @ SV185 @ SV94 )
= $true )
| ( ( ssItem @ SV185 )
= $false )
| ( ( gt @ SV94 @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1527,plain,
! [SV95: $i,SV186: $i] :
( ( ( ssItem @ SV186 )
= $false )
| ( ( gt @ SV186 @ SV95 )
= $true )
| ( ( ssItem @ SV95 )
= $false )
| ( ( lt @ SV95 @ SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1528,plain,
! [SV187: $i,SV96: $i] :
( ( ( ssItem @ SV96 )
= $false )
| ( ( leq @ SV187 @ SV96 )
= $true )
| ( ( ssItem @ SV187 )
= $false )
| ( ( geq @ SV96 @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1529,plain,
! [SV97: $i,SV188: $i] :
( ( ( ssItem @ SV188 )
= $false )
| ( ( geq @ SV188 @ SV97 )
= $true )
| ( ( ssItem @ SV97 )
= $false )
| ( ( leq @ SV97 @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1530,plain,
! [SV189: $i,SV99: $i] :
( ( ( ssItem @ SV99 )
= $false )
| ( ( ~ ( ssItem @ SV189 ) )
= $true )
| ( ( gt @ SV189 @ SV99 )
= $false )
| ( ( gt @ SV99 @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1531,plain,
! [SV100: $i,SV190: $i] :
( ( ( ssItem @ SV190 )
= $false )
| ( ( ~ ( ssItem @ SV100 ) )
= $true )
| ( ( lt @ SV100 @ SV190 )
= $false )
| ( ( SV100 = SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1532,plain,
! [SV101: $i,SV319: $i] :
( ( ( ssItem @ SV319 )
= $false )
| ( ( strictorderedP @ ( cons @ SV319 @ SV101 ) )
= $true )
| ( ( ssList @ SV101 )
= $false )
| ( ( nil = SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1533,plain,
! [SV102: $i,SV320: $i] :
( ( ( ssItem @ SV320 )
= $false )
| ( ( totalorderedP @ ( cons @ SV320 @ SV102 ) )
= $true )
| ( ( ssList @ SV102 )
= $false )
| ( ( nil = SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1457]) ).
thf(1534,plain,
! [SV191: $i,SV103: $i] :
( ( ( ssItem @ SV103 )
= $false )
| ( ( ~ ( ssItem @ SV191 ) )
= $true )
| ( ( lt @ SV191 @ SV103 )
= $false )
| ( ( lt @ SV103 @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1535,plain,
! [SV104: $i,SV192: $i] :
( ( ( ssList @ SV192 )
= $false )
| ( ( ~ ( ssList @ SV104 ) )
= $true )
| ( ( neq @ SV104 @ SV192 )
= $false )
| ( ( SV104 = SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1536,plain,
! [SV105: $i,SV193: $i] :
( ( ( ssList @ SV193 )
= $false )
| ( ( singletonP @ SV193 )
= $true )
| ( ( ssItem @ SV105 )
= $false )
| ( ( ( cons @ SV105 @ nil )
= SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1537,plain,
! [SV106: $i,SV194: $i] :
( ( ( ssItem @ SV194 )
= $false )
| ( ( ~ ( ssItem @ SV106 ) )
= $true )
| ( ( neq @ SV106 @ SV194 )
= $false )
| ( ( SV106 = SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1538,plain,
! [SV195: $i,SV107: $i] :
( ( ( ssList @ SV107 )
= $false )
| ( ( nil = SV107 )
= $true )
| ( ( ssList @ SV195 )
= $false )
| ( ( ( app @ SV107 @ SV195 )
= nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1539,plain,
! [SV196: $i,SV108: $i] :
( ( ( ssList @ SV108 )
= $false )
| ( ( nil = SV196 )
= $true )
| ( ( ssList @ SV196 )
= $false )
| ( ( ( app @ SV108 @ SV196 )
= nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1540,plain,
! [SV197: $i,SV110: $i] :
( ( ( ssItem @ SV110 )
= $false )
| ( ( ( SV110 = SV197 )
| ( lt @ SV110 @ SV197 ) )
= $true )
| ( ( ssItem @ SV197 )
= $false )
| ( ( leq @ SV110 @ SV197 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1541,plain,
! [SV198: $i,SV111: $i] :
( ( ( ssItem @ SV111 )
= $false )
| ( ( ( SV111 = SV198 )
| ( lt @ SV111 @ SV198 ) )
= $true )
| ( ( ssItem @ SV198 )
= $false )
| ( ( leq @ SV111 @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1542,plain,
! [SV199: $i,SV113: $i] :
( ( ( ssItem @ SV113 )
= $false )
| ( ( ( nil = SV199 )
| ( strictorderedP @ SV199 ) )
= $true )
| ( ( ssList @ SV199 )
= $false )
| ( ( strictorderedP @ ( cons @ SV113 @ SV199 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1467]) ).
thf(1543,plain,
! [SV200: $i,SV114: $i] :
( ( ( ssItem @ SV114 )
= $false )
| ( ( ( nil = SV200 )
| ( totalorderedP @ SV200 ) )
= $true )
| ( ( ssList @ SV200 )
= $false )
| ( ( totalorderedP @ ( cons @ SV114 @ SV200 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1468]) ).
thf(1544,plain,
! [SV201: $i,SV115: $i] :
( ( ( ssItem @ SV115 )
= $false )
| ( ( ~ ( ssItem @ SV201 )
| ( SV201 = SV115 ) )
= $true )
| ( ( geq @ SV201 @ SV115 )
= $false )
| ( ( geq @ SV115 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1545,plain,
! [SV202: $i,SV116: $i] :
( ( ( ssList @ SV116 )
= $false )
| ( ( ~ ( ssList @ SV202 )
| ( SV202 = SV116 ) )
= $true )
| ( ( segmentP @ SV202 @ SV116 )
= $false )
| ( ( segmentP @ SV116 @ SV202 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1546,plain,
! [SV203: $i,SV117: $i] :
( ( ( ssList @ SV117 )
= $false )
| ( ( ~ ( ssList @ SV203 )
| ( SV203 = SV117 ) )
= $true )
| ( ( rearsegP @ SV203 @ SV117 )
= $false )
| ( ( rearsegP @ SV117 @ SV203 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1547,plain,
! [SV204: $i,SV118: $i] :
( ( ( ssList @ SV118 )
= $false )
| ( ( ~ ( ssList @ SV204 )
| ( SV204 = SV118 ) )
= $true )
| ( ( frontsegP @ SV204 @ SV118 )
= $false )
| ( ( frontsegP @ SV118 @ SV204 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1548,plain,
! [SV205: $i,SV119: $i] :
( ( ( ssItem @ SV119 )
= $false )
| ( ( ~ ( ssItem @ SV205 )
| ( SV205 = SV119 ) )
= $true )
| ( ( leq @ SV205 @ SV119 )
= $false )
| ( ( leq @ SV119 @ SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1549,plain,
! [SV206: $i,SV120: $i] :
( ( ( ssList @ SV120 )
= $false )
| ( ( ( app @ ( skaf46 @ SV120 @ SV206 ) @ SV206 )
= SV120 )
= $true )
| ( ( ssList @ SV206 )
= $false )
| ( ( rearsegP @ SV120 @ SV206 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1550,plain,
! [SV207: $i,SV121: $i] :
( ( ( ssList @ SV121 )
= $false )
| ( ( ( app @ SV207 @ ( skaf45 @ SV121 @ SV207 ) )
= SV121 )
= $true )
| ( ( ssList @ SV207 )
= $false )
| ( ( frontsegP @ SV121 @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1551,plain,
! [SV208: $i,SV123: $i] :
( ( ( ssItem @ SV123 )
= $false )
| ( ( ( nil = SV208 )
| ( lt @ SV123 @ ( hd @ SV208 ) ) )
= $true )
| ( ( ssList @ SV208 )
= $false )
| ( ( strictorderedP @ ( cons @ SV123 @ SV208 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1552,plain,
! [SV209: $i,SV124: $i] :
( ( ( ssItem @ SV124 )
= $false )
| ( ( ( nil = SV209 )
| ( leq @ SV124 @ ( hd @ SV209 ) ) )
= $true )
| ( ( ssList @ SV209 )
= $false )
| ( ( totalorderedP @ ( cons @ SV124 @ SV209 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1478]) ).
thf(1553,plain,
! [SV298: $i,SV125: $i,SV210: $i] :
( ( ( ~ ( ssList @ SV210 ) )
= $true )
| ( ( ~ ( ssList @ SV125 )
| ( rearsegP @ ( app @ SV298 @ SV125 ) @ SV210 ) )
= $true )
| ( ( ssList @ SV298 )
= $false )
| ( ( rearsegP @ SV125 @ SV210 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1479]) ).
thf(1554,plain,
! [SV299: $i,SV126: $i,SV211: $i] :
( ( ( ~ ( ssList @ SV211 ) )
= $true )
| ( ( ~ ( ssList @ SV126 )
| ( frontsegP @ ( app @ SV126 @ SV299 ) @ SV211 ) )
= $true )
| ( ( ssList @ SV299 )
= $false )
| ( ( frontsegP @ SV126 @ SV211 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1480]) ).
thf(1555,plain,
! [SV300: $i,SV127: $i,SV212: $i] :
( ( ( ~ ( ssItem @ SV212 ) )
= $true )
| ( ( ~ ( ssItem @ SV127 )
| ( memberP @ ( cons @ SV212 @ SV300 ) @ SV127 ) )
= $true )
| ( ( ssList @ SV300 )
= $false )
| ( ( SV127 = SV212 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1481]) ).
thf(1556,plain,
! [SV128: $i,SV213: $i,SV326: $i] :
( ( ( ~ ( ssItem @ SV326 ) )
= $true )
| ( ( ~ ( ssItem @ SV213 )
| ( memberP @ ( cons @ SV326 @ SV128 ) @ SV213 ) )
= $true )
| ( ( ssList @ SV128 )
= $false )
| ( ( memberP @ SV128 @ SV213 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1482]) ).
thf(1557,plain,
! [SV301: $i,SV214: $i,SV129: $i] :
( ( ( ~ ( ssList @ SV129 ) )
= $true )
| ( ( ~ ( ssItem @ SV214 )
| ( memberP @ ( app @ SV129 @ SV301 ) @ SV214 ) )
= $true )
| ( ( ssList @ SV301 )
= $false )
| ( ( memberP @ SV129 @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1483]) ).
thf(1558,plain,
! [SV130: $i,SV215: $i,SV327: $i] :
( ( ( ~ ( ssList @ SV327 ) )
= $true )
| ( ( ~ ( ssItem @ SV215 )
| ( memberP @ ( app @ SV327 @ SV130 ) @ SV215 ) )
= $true )
| ( ( ssList @ SV130 )
= $false )
| ( ( memberP @ SV130 @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1559,plain,
! [SV132: $i,SV251: $i,SV216: $i] :
( ( ( ~ ( ssList @ SV216 ) )
= $true )
| ( ( ~ ( ssList @ SV251 )
| ( rearsegP @ SV251 @ SV216 ) )
= $true )
| ( ( ssList @ SV132 )
= $false )
| ( ( ( app @ SV132 @ SV216 )
= SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1560,plain,
! [SV217: $i,SV252: $i,SV133: $i] :
( ( ( ~ ( ssList @ SV133 ) )
= $true )
| ( ( ~ ( ssList @ SV252 )
| ( frontsegP @ SV252 @ SV133 ) )
= $true )
| ( ( ssList @ SV217 )
= $false )
| ( ( ( app @ SV133 @ SV217 )
= SV252 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1486]) ).
thf(1561,plain,
! [SV134: $i,SV280: $i] :
( ( ( ssList @ SV280 )
= $false )
| ( ( ~ ( ssList @ SV134 )
| ( ( app @ SV134 @ SV280 )
= nil ) )
= $true )
| ( ( nil = SV280 )
= $false )
| ( ( nil = SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1562,plain,
! [SV135: $i,SV218: $i,SV302: $i] :
( ( ( ~ ( ssItem @ SV302 ) )
= $true )
| ( ( ~ ( ssItem @ SV218 )
| ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SV302 ) )
= $true )
| ( ( gt @ SV218 @ SV302 )
= $false )
| ( ( gt @ SV135 @ SV218 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1488]) ).
thf(1563,plain,
! [SV136: $i,SV219: $i,SV303: $i] :
( ( ( ~ ( ssItem @ SV303 ) )
= $true )
| ( ( ~ ( ssItem @ SV219 )
| ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SV303 ) )
= $true )
| ( ( lt @ SV219 @ SV303 )
= $false )
| ( ( leq @ SV136 @ SV219 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1489]) ).
thf(1564,plain,
! [SV137: $i,SV220: $i,SV304: $i] :
( ( ( ~ ( ssItem @ SV304 ) )
= $true )
| ( ( ~ ( ssItem @ SV220 )
| ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SV304 ) )
= $true )
| ( ( geq @ SV220 @ SV304 )
= $false )
| ( ( geq @ SV137 @ SV220 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1490]) ).
thf(1565,plain,
! [SV138: $i,SV281: $i,SV328: $i] :
( ( ( ~ ( ssList @ SV328 ) )
= $true )
| ( ( ( app @ ( app @ SV328 @ SV281 ) @ SV138 )
= ( app @ SV328 @ ( app @ SV281 @ SV138 ) ) )
= $true )
| ( ( ssList @ SV281 )
= $false )
| ( ( ssList @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1491]) ).
thf(1566,plain,
! [SV221: $i,SV253: $i,SV139: $i] :
( ( ( ~ ( ssList @ SV139 ) )
= $true )
| ( ( ~ ( ssList @ SV253 )
| ( SV221 = SV253 ) )
= $true )
| ( ( ssList @ SV221 )
= $false )
| ( ( ( app @ SV139 @ SV221 )
= ( app @ SV139 @ SV253 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1492]) ).
thf(1567,plain,
! [SV140: $i,SV254: $i,SV222: $i] :
( ( ( ~ ( ssList @ SV222 ) )
= $true )
| ( ( ~ ( ssList @ SV254 )
| ( SV140 = SV254 ) )
= $true )
| ( ( ssList @ SV140 )
= $false )
| ( ( ( app @ SV140 @ SV222 )
= ( app @ SV254 @ SV222 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1493]) ).
thf(1568,plain,
! [SV141: $i,SV223: $i,SV305: $i] :
( ( ( ~ ( ssList @ SV305 ) )
= $true )
| ( ( ~ ( ssList @ SV223 )
| ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SV305 ) )
= $true )
| ( ( segmentP @ SV223 @ SV305 )
= $false )
| ( ( segmentP @ SV141 @ SV223 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1569,plain,
! [SV142: $i,SV224: $i,SV306: $i] :
( ( ( ~ ( ssList @ SV306 ) )
= $true )
| ( ( ~ ( ssList @ SV224 )
| ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SV306 ) )
= $true )
| ( ( rearsegP @ SV224 @ SV306 )
= $false )
| ( ( rearsegP @ SV142 @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1495]) ).
thf(1570,plain,
! [SV143: $i,SV225: $i,SV307: $i] :
( ( ( ~ ( ssList @ SV307 ) )
= $true )
| ( ( ~ ( ssList @ SV225 )
| ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SV307 ) )
= $true )
| ( ( frontsegP @ SV225 @ SV307 )
= $false )
| ( ( frontsegP @ SV143 @ SV225 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1496]) ).
thf(1571,plain,
! [SV144: $i,SV226: $i,SV308: $i] :
( ( ( ~ ( ssItem @ SV308 ) )
= $true )
| ( ( ~ ( ssItem @ SV226 )
| ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SV308 ) )
= $true )
| ( ( lt @ SV226 @ SV308 )
= $false )
| ( ( lt @ SV144 @ SV226 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1497]) ).
thf(1572,plain,
! [SV145: $i,SV227: $i,SV309: $i] :
( ( ( ~ ( ssItem @ SV309 ) )
= $true )
| ( ( ~ ( ssItem @ SV227 )
| ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SV309 ) )
= $true )
| ( ( leq @ SV227 @ SV309 )
= $false )
| ( ( leq @ SV145 @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1498]) ).
thf(1573,plain,
! [SV282: $i,SV146: $i,SV329: $i] :
( ( ( ~ ( ssList @ SV329 ) )
= $true )
| ( ( ( cons @ SV146 @ ( app @ SV282 @ SV329 ) )
= ( app @ ( cons @ SV146 @ SV282 ) @ SV329 ) )
= $true )
| ( ( ssList @ SV282 )
= $false )
| ( ( ssItem @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1499]) ).
thf(1574,plain,
! [SV228: $i,SV255: $i,SV147: $i] :
( ( ( ~ ( ssList @ SV147 ) )
= $true )
| ( ( ~ ( ssItem @ SV255 )
| ( memberP @ SV228 @ SV255 )
| ( memberP @ SV147 @ SV255 ) )
= $true )
| ( ( ssList @ SV228 )
= $false )
| ( ( memberP @ ( app @ SV147 @ SV228 ) @ SV255 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1500]) ).
thf(1575,plain,
! [SV148: $i,SV229: $i] :
( ( ( ssList @ SV229 )
= $false )
| ( ( ~ ( ssItem @ SV148 )
| ( nil = SV229 )
| ( totalorderedP @ ( cons @ SV148 @ SV229 ) ) )
= $true )
| ( ( totalorderedP @ SV229 )
= $false )
| ( ( leq @ SV148 @ ( hd @ SV229 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1576,plain,
! [SV149: $i,SV230: $i] :
( ( ( ssList @ SV230 )
= $false )
| ( ( ~ ( ssItem @ SV149 )
| ( nil = SV230 )
| ( strictorderedP @ ( cons @ SV149 @ SV230 ) ) )
= $true )
| ( ( strictorderedP @ SV230 )
= $false )
| ( ( lt @ SV149 @ ( hd @ SV230 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1502]) ).
thf(1577,plain,
! [SV231: $i,SV256: $i,SV150: $i] :
( ( ( ~ ( ssItem @ SV150 ) )
= $true )
| ( ( ~ ( ssItem @ SV256 )
| ( SV256 = SV150 )
| ( memberP @ SV231 @ SV256 ) )
= $true )
| ( ( ssList @ SV231 )
= $false )
| ( ( memberP @ ( cons @ SV150 @ SV231 ) @ SV256 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1503]) ).
thf(1578,plain,
! [SV232: $i,SV157: $i] :
( ( ( ssList @ SV157 )
= $false )
| ( ( ( app @ ( app @ ( skaf47 @ SV157 @ SV232 ) @ SV232 ) @ ( skaf48 @ SV232 @ SV157 ) )
= SV157 )
= $true )
| ( ( ssList @ SV232 )
= $false )
| ( ( segmentP @ SV157 @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1579,plain,
! [SV233: $i,SV158: $i] :
( ( ( ssList @ SV158 )
= $false )
| ( ( ( app @ ( skaf42 @ SV158 @ SV233 ) @ ( cons @ SV233 @ ( skaf43 @ SV233 @ SV158 ) ) )
= SV158 )
= $true )
| ( ( ssItem @ SV233 )
= $false )
| ( ( memberP @ SV158 @ SV233 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1580,plain,
! [SV234: $i,SV283: $i,SV159: $i,SV257: $i] :
( ( ( ssItem @ SV257 )
= $false )
| ( ( ~ ( ssItem @ SV159 )
| ~ ( ssList @ SV283 )
| ~ ( ssList @ SV234 )
| ( SV159 = SV257 ) )
= $true )
| ( ( ( cons @ SV159 @ SV234 )
= ( cons @ SV257 @ SV283 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1581,plain,
! [SV235: $i,SV284: $i,SV160: $i,SV258: $i] :
( ( ( ssItem @ SV258 )
= $false )
| ( ( ~ ( ssItem @ SV160 )
| ~ ( ssList @ SV284 )
| ~ ( ssList @ SV235 )
| ( SV284 = SV235 ) )
= $true )
| ( ( ( cons @ SV160 @ SV235 )
= ( cons @ SV258 @ SV284 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1582,plain,
! [SV310: $i,SV161: $i,SV236: $i,SV330: $i] :
( ( ( ~ ( ssList @ SV330 )
| ~ ( ssList @ SV236 )
| ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SV330 @ SV161 ) @ SV310 ) @ SV236 ) )
= $true )
| ( ( ssList @ SV310 )
= $false )
| ( ( segmentP @ SV161 @ SV236 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1583,plain,
! [SV285: $i,SV237: $i,SV162: $i,SV259: $i] :
( ( ( ssList @ SV259 )
= $false )
| ( ( ~ ( ssList @ SV162 )
| ~ ( ssList @ SV237 )
| ~ ( ssList @ SV285 )
| ( segmentP @ SV285 @ SV237 ) )
= $true )
| ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
= SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1584,plain,
! [SV163: $i,SV260: $i,SV238: $i,SV286: $i] :
( ( ( ssList @ SV286 )
= $false )
| ( ( ~ ( ssList @ SV238 )
| ~ ( ssItem @ SV260 )
| ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SV286 ) )
= $true )
| ( ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1585,plain,
! [SV287: $i,SV239: $i,SV164: $i,SV261: $i] :
( ( ( ssList @ SV261 )
= $false )
| ( ( ~ ( ssList @ SV164 )
| ~ ( ssItem @ SV239 )
| ~ ( ssList @ SV287 )
| ( memberP @ SV287 @ SV239 ) )
= $true )
| ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
= SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1586,plain,
! [SV165: $i,SV262: $i,SV240: $i,SV288: $i] :
( ( ( ssList @ SV288 )
= $false )
| ( ( ~ ( ssList @ SV240 )
| ~ ( ssItem @ SV262 )
| ~ ( ssItem @ SV165 )
| ( SV165 = SV262 ) )
= $true )
| ( ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1512]) ).
thf(1587,plain,
! [SV241: $i,SV166: $i] :
( ( ( ssList @ SV166 )
= $false )
| ( ( ~ ( ssList @ SV241 )
| ( nil = SV241 )
| ( SV166 = SV241 )
| ( nil = SV166 ) )
= $true )
| ( ( ( hd @ SV166 )
= ( hd @ SV241 ) )
= $false )
| ( ( ( tl @ SV166 )
= ( tl @ SV241 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1588,plain,
! [SV167: $i,SV242: $i,SV321: $i,SV311: $i] :
( ( ( SV311 = SV321 )
= $false )
| ( ( ~ ( ssList @ SV242 )
| ~ ( ssList @ SV167 )
| ~ ( ssItem @ SV321 )
| ~ ( ssItem @ SV311 )
| ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) ) )
= $true )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1589,plain,
! [SV312: $i,SV243: $i,SV168: $i,SV263: $i,SV289: $i] :
( ( ( ~ ( ssList @ SV289 ) )
= $true )
| ( ( ~ ( ssList @ SV263 )
| ~ ( ssList @ SV168 )
| ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1515]) ).
thf(1590,plain,
! [SV313: $i,SV244: $i,SV264: $i,SV169: $i,SV290: $i] :
( ( ( ~ ( ssList @ SV290 ) )
= $true )
| ( ( ~ ( ssList @ SV169 )
| ~ ( ssItem @ SV264 )
| ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1516]) ).
thf(1591,plain,
! [SV322: $i,SV314: $i,SV291: $i,SV265: $i,SV245: $i,SV170: $i] :
( ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false )
| ( ( ~ ( ssList @ SV314 )
| ~ ( ssList @ SV265 )
| ~ ( ssList @ SV170 )
| ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1592,plain,
! [SV323: $i,SV315: $i,SV292: $i,SV266: $i,SV246: $i,SV171: $i] :
( ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false )
| ( ( ~ ( ssList @ SV315 )
| ~ ( ssList @ SV266 )
| ~ ( ssList @ SV171 )
| ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1593,plain,
! [SV324: $i,SV316: $i,SV293: $i,SV267: $i,SV247: $i,SV172: $i] :
( ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false )
| ( ( ~ ( ssList @ SV316 )
| ~ ( ssList @ SV267 )
| ~ ( ssList @ SV172 )
| ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1594,plain,
! [SV325: $i,SV317: $i,SV294: $i,SV268: $i,SV248: $i,SV173: $i] :
( ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false )
| ( ( ~ ( ssList @ SV317 )
| ~ ( ssList @ SV268 )
| ~ ( ssList @ SV173 )
| ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1595,plain,
! [SV295: $i,SV269: $i,SV174: $i,SV249: $i] :
( ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( ! [SY587: $i,SY588: $i] :
( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SY587 ) )
!= SY588 )
| ~ ( ssList @ SY587 )
| ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SY588 )
| ~ ( ssList @ SY588 ) ) )
= $true )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1596,plain,
! [SV296: $i,SV175: $i] :
( ( ( ( app @ ( cons @ SV175 @ nil ) @ SV296 )
= sk2 )
= $false )
| ( ( ( app @ SV296 @ ( cons @ SV175 @ nil ) )
!= sk1 )
= $true )
| ( ( ssList @ SV296 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( nil = sk2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1523]) ).
thf(1597,plain,
! [SV318: $i,SV250: $i] :
( ( ( ( app @ ( cons @ SV250 @ nil ) @ SV318 )
!= sk2 )
= $true )
| ( ( ( app @ SV318 @ ( cons @ SV250 @ nil ) )
!= sk1 )
= $true )
| ( ( ssList @ SV318 )
= $false )
| ( ( ssItem @ SV250 )
= $false )
| ( ( nil = sk1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1524]) ).
thf(1598,plain,
! [SV99: $i,SV189: $i] :
( ( ( ssItem @ SV189 )
= $false )
| ( ( ssItem @ SV99 )
= $false )
| ( ( gt @ SV189 @ SV99 )
= $false )
| ( ( gt @ SV99 @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1599,plain,
! [SV190: $i,SV100: $i] :
( ( ( ssItem @ SV100 )
= $false )
| ( ( ssItem @ SV190 )
= $false )
| ( ( lt @ SV100 @ SV190 )
= $false )
| ( ( SV100 = SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1600,plain,
! [SV103: $i,SV191: $i] :
( ( ( ssItem @ SV191 )
= $false )
| ( ( ssItem @ SV103 )
= $false )
| ( ( lt @ SV191 @ SV103 )
= $false )
| ( ( lt @ SV103 @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1601,plain,
! [SV192: $i,SV104: $i] :
( ( ( ssList @ SV104 )
= $false )
| ( ( ssList @ SV192 )
= $false )
| ( ( neq @ SV104 @ SV192 )
= $false )
| ( ( SV104 = SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1602,plain,
! [SV194: $i,SV106: $i] :
( ( ( ssItem @ SV106 )
= $false )
| ( ( ssItem @ SV194 )
= $false )
| ( ( neq @ SV106 @ SV194 )
= $false )
| ( ( SV106 = SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1603,plain,
! [SV197: $i,SV110: $i] :
( ( ( SV110 = SV197 )
= $true )
| ( ( lt @ SV110 @ SV197 )
= $true )
| ( ( ssItem @ SV110 )
= $false )
| ( ( ssItem @ SV197 )
= $false )
| ( ( leq @ SV110 @ SV197 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1604,plain,
! [SV198: $i,SV111: $i] :
( ( ( SV111 = SV198 )
= $true )
| ( ( lt @ SV111 @ SV198 )
= $true )
| ( ( ssItem @ SV111 )
= $false )
| ( ( ssItem @ SV198 )
= $false )
| ( ( leq @ SV111 @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1541]) ).
thf(1605,plain,
! [SV113: $i,SV199: $i] :
( ( ( nil = SV199 )
= $true )
| ( ( strictorderedP @ SV199 )
= $true )
| ( ( ssItem @ SV113 )
= $false )
| ( ( ssList @ SV199 )
= $false )
| ( ( strictorderedP @ ( cons @ SV113 @ SV199 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1542]) ).
thf(1606,plain,
! [SV114: $i,SV200: $i] :
( ( ( nil = SV200 )
= $true )
| ( ( totalorderedP @ SV200 )
= $true )
| ( ( ssItem @ SV114 )
= $false )
| ( ( ssList @ SV200 )
= $false )
| ( ( totalorderedP @ ( cons @ SV114 @ SV200 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1543]) ).
thf(1607,plain,
! [SV115: $i,SV201: $i] :
( ( ( ~ ( ssItem @ SV201 ) )
= $true )
| ( ( SV201 = SV115 )
= $true )
| ( ( ssItem @ SV115 )
= $false )
| ( ( geq @ SV201 @ SV115 )
= $false )
| ( ( geq @ SV115 @ SV201 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1544]) ).
thf(1608,plain,
! [SV116: $i,SV202: $i] :
( ( ( ~ ( ssList @ SV202 ) )
= $true )
| ( ( SV202 = SV116 )
= $true )
| ( ( ssList @ SV116 )
= $false )
| ( ( segmentP @ SV202 @ SV116 )
= $false )
| ( ( segmentP @ SV116 @ SV202 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1545]) ).
thf(1609,plain,
! [SV117: $i,SV203: $i] :
( ( ( ~ ( ssList @ SV203 ) )
= $true )
| ( ( SV203 = SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false )
| ( ( rearsegP @ SV203 @ SV117 )
= $false )
| ( ( rearsegP @ SV117 @ SV203 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1546]) ).
thf(1610,plain,
! [SV118: $i,SV204: $i] :
( ( ( ~ ( ssList @ SV204 ) )
= $true )
| ( ( SV204 = SV118 )
= $true )
| ( ( ssList @ SV118 )
= $false )
| ( ( frontsegP @ SV204 @ SV118 )
= $false )
| ( ( frontsegP @ SV118 @ SV204 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1547]) ).
thf(1611,plain,
! [SV119: $i,SV205: $i] :
( ( ( ~ ( ssItem @ SV205 ) )
= $true )
| ( ( SV205 = SV119 )
= $true )
| ( ( ssItem @ SV119 )
= $false )
| ( ( leq @ SV205 @ SV119 )
= $false )
| ( ( leq @ SV119 @ SV205 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1548]) ).
thf(1612,plain,
! [SV123: $i,SV208: $i] :
( ( ( nil = SV208 )
= $true )
| ( ( lt @ SV123 @ ( hd @ SV208 ) )
= $true )
| ( ( ssItem @ SV123 )
= $false )
| ( ( ssList @ SV208 )
= $false )
| ( ( strictorderedP @ ( cons @ SV123 @ SV208 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1551]) ).
thf(1613,plain,
! [SV124: $i,SV209: $i] :
( ( ( nil = SV209 )
= $true )
| ( ( leq @ SV124 @ ( hd @ SV209 ) )
= $true )
| ( ( ssItem @ SV124 )
= $false )
| ( ( ssList @ SV209 )
= $false )
| ( ( totalorderedP @ ( cons @ SV124 @ SV209 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1552]) ).
thf(1614,plain,
! [SV298: $i,SV125: $i,SV210: $i] :
( ( ( ssList @ SV210 )
= $false )
| ( ( ~ ( ssList @ SV125 )
| ( rearsegP @ ( app @ SV298 @ SV125 ) @ SV210 ) )
= $true )
| ( ( ssList @ SV298 )
= $false )
| ( ( rearsegP @ SV125 @ SV210 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1615,plain,
! [SV299: $i,SV126: $i,SV211: $i] :
( ( ( ssList @ SV211 )
= $false )
| ( ( ~ ( ssList @ SV126 )
| ( frontsegP @ ( app @ SV126 @ SV299 ) @ SV211 ) )
= $true )
| ( ( ssList @ SV299 )
= $false )
| ( ( frontsegP @ SV126 @ SV211 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1616,plain,
! [SV300: $i,SV127: $i,SV212: $i] :
( ( ( ssItem @ SV212 )
= $false )
| ( ( ~ ( ssItem @ SV127 )
| ( memberP @ ( cons @ SV212 @ SV300 ) @ SV127 ) )
= $true )
| ( ( ssList @ SV300 )
= $false )
| ( ( SV127 = SV212 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1617,plain,
! [SV128: $i,SV213: $i,SV326: $i] :
( ( ( ssItem @ SV326 )
= $false )
| ( ( ~ ( ssItem @ SV213 )
| ( memberP @ ( cons @ SV326 @ SV128 ) @ SV213 ) )
= $true )
| ( ( ssList @ SV128 )
= $false )
| ( ( memberP @ SV128 @ SV213 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1618,plain,
! [SV301: $i,SV214: $i,SV129: $i] :
( ( ( ssList @ SV129 )
= $false )
| ( ( ~ ( ssItem @ SV214 )
| ( memberP @ ( app @ SV129 @ SV301 ) @ SV214 ) )
= $true )
| ( ( ssList @ SV301 )
= $false )
| ( ( memberP @ SV129 @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1619,plain,
! [SV130: $i,SV215: $i,SV327: $i] :
( ( ( ssList @ SV327 )
= $false )
| ( ( ~ ( ssItem @ SV215 )
| ( memberP @ ( app @ SV327 @ SV130 ) @ SV215 ) )
= $true )
| ( ( ssList @ SV130 )
= $false )
| ( ( memberP @ SV130 @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1620,plain,
! [SV132: $i,SV251: $i,SV216: $i] :
( ( ( ssList @ SV216 )
= $false )
| ( ( ~ ( ssList @ SV251 )
| ( rearsegP @ SV251 @ SV216 ) )
= $true )
| ( ( ssList @ SV132 )
= $false )
| ( ( ( app @ SV132 @ SV216 )
= SV251 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1621,plain,
! [SV217: $i,SV252: $i,SV133: $i] :
( ( ( ssList @ SV133 )
= $false )
| ( ( ~ ( ssList @ SV252 )
| ( frontsegP @ SV252 @ SV133 ) )
= $true )
| ( ( ssList @ SV217 )
= $false )
| ( ( ( app @ SV133 @ SV217 )
= SV252 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1622,plain,
! [SV280: $i,SV134: $i] :
( ( ( ~ ( ssList @ SV134 ) )
= $true )
| ( ( ( app @ SV134 @ SV280 )
= nil )
= $true )
| ( ( ssList @ SV280 )
= $false )
| ( ( nil = SV280 )
= $false )
| ( ( nil = SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1561]) ).
thf(1623,plain,
! [SV135: $i,SV218: $i,SV302: $i] :
( ( ( ssItem @ SV302 )
= $false )
| ( ( ~ ( ssItem @ SV218 )
| ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SV302 ) )
= $true )
| ( ( gt @ SV218 @ SV302 )
= $false )
| ( ( gt @ SV135 @ SV218 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1624,plain,
! [SV136: $i,SV219: $i,SV303: $i] :
( ( ( ssItem @ SV303 )
= $false )
| ( ( ~ ( ssItem @ SV219 )
| ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SV303 ) )
= $true )
| ( ( lt @ SV219 @ SV303 )
= $false )
| ( ( leq @ SV136 @ SV219 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1625,plain,
! [SV137: $i,SV220: $i,SV304: $i] :
( ( ( ssItem @ SV304 )
= $false )
| ( ( ~ ( ssItem @ SV220 )
| ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SV304 ) )
= $true )
| ( ( geq @ SV220 @ SV304 )
= $false )
| ( ( geq @ SV137 @ SV220 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1626,plain,
! [SV138: $i,SV281: $i,SV328: $i] :
( ( ( ssList @ SV328 )
= $false )
| ( ( ( app @ ( app @ SV328 @ SV281 ) @ SV138 )
= ( app @ SV328 @ ( app @ SV281 @ SV138 ) ) )
= $true )
| ( ( ssList @ SV281 )
= $false )
| ( ( ssList @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1627,plain,
! [SV221: $i,SV253: $i,SV139: $i] :
( ( ( ssList @ SV139 )
= $false )
| ( ( ~ ( ssList @ SV253 )
| ( SV221 = SV253 ) )
= $true )
| ( ( ssList @ SV221 )
= $false )
| ( ( ( app @ SV139 @ SV221 )
= ( app @ SV139 @ SV253 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1628,plain,
! [SV140: $i,SV254: $i,SV222: $i] :
( ( ( ssList @ SV222 )
= $false )
| ( ( ~ ( ssList @ SV254 )
| ( SV140 = SV254 ) )
= $true )
| ( ( ssList @ SV140 )
= $false )
| ( ( ( app @ SV140 @ SV222 )
= ( app @ SV254 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1567]) ).
thf(1629,plain,
! [SV141: $i,SV223: $i,SV305: $i] :
( ( ( ssList @ SV305 )
= $false )
| ( ( ~ ( ssList @ SV223 )
| ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SV305 ) )
= $true )
| ( ( segmentP @ SV223 @ SV305 )
= $false )
| ( ( segmentP @ SV141 @ SV223 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1630,plain,
! [SV142: $i,SV224: $i,SV306: $i] :
( ( ( ssList @ SV306 )
= $false )
| ( ( ~ ( ssList @ SV224 )
| ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SV306 ) )
= $true )
| ( ( rearsegP @ SV224 @ SV306 )
= $false )
| ( ( rearsegP @ SV142 @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1631,plain,
! [SV143: $i,SV225: $i,SV307: $i] :
( ( ( ssList @ SV307 )
= $false )
| ( ( ~ ( ssList @ SV225 )
| ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SV307 ) )
= $true )
| ( ( frontsegP @ SV225 @ SV307 )
= $false )
| ( ( frontsegP @ SV143 @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1632,plain,
! [SV144: $i,SV226: $i,SV308: $i] :
( ( ( ssItem @ SV308 )
= $false )
| ( ( ~ ( ssItem @ SV226 )
| ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SV308 ) )
= $true )
| ( ( lt @ SV226 @ SV308 )
= $false )
| ( ( lt @ SV144 @ SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1571]) ).
thf(1633,plain,
! [SV145: $i,SV227: $i,SV309: $i] :
( ( ( ssItem @ SV309 )
= $false )
| ( ( ~ ( ssItem @ SV227 )
| ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SV309 ) )
= $true )
| ( ( leq @ SV227 @ SV309 )
= $false )
| ( ( leq @ SV145 @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1572]) ).
thf(1634,plain,
! [SV282: $i,SV146: $i,SV329: $i] :
( ( ( ssList @ SV329 )
= $false )
| ( ( ( cons @ SV146 @ ( app @ SV282 @ SV329 ) )
= ( app @ ( cons @ SV146 @ SV282 ) @ SV329 ) )
= $true )
| ( ( ssList @ SV282 )
= $false )
| ( ( ssItem @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1635,plain,
! [SV228: $i,SV255: $i,SV147: $i] :
( ( ( ssList @ SV147 )
= $false )
| ( ( ~ ( ssItem @ SV255 )
| ( memberP @ SV228 @ SV255 )
| ( memberP @ SV147 @ SV255 ) )
= $true )
| ( ( ssList @ SV228 )
= $false )
| ( ( memberP @ ( app @ SV147 @ SV228 ) @ SV255 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1636,plain,
! [SV229: $i,SV148: $i] :
( ( ( ~ ( ssItem @ SV148 ) )
= $true )
| ( ( ( nil = SV229 )
| ( totalorderedP @ ( cons @ SV148 @ SV229 ) ) )
= $true )
| ( ( ssList @ SV229 )
= $false )
| ( ( totalorderedP @ SV229 )
= $false )
| ( ( leq @ SV148 @ ( hd @ SV229 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1575]) ).
thf(1637,plain,
! [SV230: $i,SV149: $i] :
( ( ( ~ ( ssItem @ SV149 ) )
= $true )
| ( ( ( nil = SV230 )
| ( strictorderedP @ ( cons @ SV149 @ SV230 ) ) )
= $true )
| ( ( ssList @ SV230 )
= $false )
| ( ( strictorderedP @ SV230 )
= $false )
| ( ( lt @ SV149 @ ( hd @ SV230 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1576]) ).
thf(1638,plain,
! [SV231: $i,SV256: $i,SV150: $i] :
( ( ( ssItem @ SV150 )
= $false )
| ( ( ~ ( ssItem @ SV256 )
| ( SV256 = SV150 )
| ( memberP @ SV231 @ SV256 ) )
= $true )
| ( ( ssList @ SV231 )
= $false )
| ( ( memberP @ ( cons @ SV150 @ SV231 ) @ SV256 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1577]) ).
thf(1639,plain,
! [SV257: $i,SV234: $i,SV283: $i,SV159: $i] :
( ( ( ~ ( ssItem @ SV159 ) )
= $true )
| ( ( ~ ( ssList @ SV283 )
| ~ ( ssList @ SV234 )
| ( SV159 = SV257 ) )
= $true )
| ( ( ssItem @ SV257 )
= $false )
| ( ( ( cons @ SV159 @ SV234 )
= ( cons @ SV257 @ SV283 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1580]) ).
thf(1640,plain,
! [SV258: $i,SV235: $i,SV284: $i,SV160: $i] :
( ( ( ~ ( ssItem @ SV160 ) )
= $true )
| ( ( ~ ( ssList @ SV284 )
| ~ ( ssList @ SV235 )
| ( SV284 = SV235 ) )
= $true )
| ( ( ssItem @ SV258 )
= $false )
| ( ( ( cons @ SV160 @ SV235 )
= ( cons @ SV258 @ SV284 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1581]) ).
thf(1641,plain,
! [SV310: $i,SV161: $i,SV236: $i,SV330: $i] :
( ( ( ~ ( ssList @ SV330 ) )
= $true )
| ( ( ~ ( ssList @ SV236 )
| ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SV330 @ SV161 ) @ SV310 ) @ SV236 ) )
= $true )
| ( ( ssList @ SV310 )
= $false )
| ( ( segmentP @ SV161 @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1582]) ).
thf(1642,plain,
! [SV259: $i,SV285: $i,SV237: $i,SV162: $i] :
( ( ( ~ ( ssList @ SV162 ) )
= $true )
| ( ( ~ ( ssList @ SV237 )
| ~ ( ssList @ SV285 )
| ( segmentP @ SV285 @ SV237 ) )
= $true )
| ( ( ssList @ SV259 )
= $false )
| ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
= SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1583]) ).
thf(1643,plain,
! [SV286: $i,SV163: $i,SV260: $i,SV238: $i] :
( ( ( ~ ( ssList @ SV238 ) )
= $true )
| ( ( ~ ( ssItem @ SV260 )
| ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SV286 ) )
= $true )
| ( ( ssList @ SV286 )
= $false )
| ( ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1584]) ).
thf(1644,plain,
! [SV261: $i,SV287: $i,SV239: $i,SV164: $i] :
( ( ( ~ ( ssList @ SV164 ) )
= $true )
| ( ( ~ ( ssItem @ SV239 )
| ~ ( ssList @ SV287 )
| ( memberP @ SV287 @ SV239 ) )
= $true )
| ( ( ssList @ SV261 )
= $false )
| ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
= SV287 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1585]) ).
thf(1645,plain,
! [SV288: $i,SV165: $i,SV262: $i,SV240: $i] :
( ( ( ~ ( ssList @ SV240 ) )
= $true )
| ( ( ~ ( ssItem @ SV262 )
| ~ ( ssItem @ SV165 )
| ( SV165 = SV262 ) )
= $true )
| ( ( ssList @ SV288 )
= $false )
| ( ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1586]) ).
thf(1646,plain,
! [SV166: $i,SV241: $i] :
( ( ( ~ ( ssList @ SV241 ) )
= $true )
| ( ( ( nil = SV241 )
| ( SV166 = SV241 )
| ( nil = SV166 ) )
= $true )
| ( ( ssList @ SV166 )
= $false )
| ( ( ( hd @ SV166 )
= ( hd @ SV241 ) )
= $false )
| ( ( ( tl @ SV166 )
= ( tl @ SV241 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1587]) ).
thf(1647,plain,
! [SV311: $i,SV321: $i,SV167: $i,SV242: $i] :
( ( ( ~ ( ssList @ SV242 ) )
= $true )
| ( ( ~ ( ssList @ SV167 )
| ~ ( ssItem @ SV321 )
| ~ ( ssItem @ SV311 )
| ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) ) )
= $true )
| ( ( SV311 = SV321 )
= $false )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1588]) ).
thf(1648,plain,
! [SV312: $i,SV243: $i,SV168: $i,SV263: $i,SV289: $i] :
( ( ( ssList @ SV289 )
= $false )
| ( ( ~ ( ssList @ SV263 )
| ~ ( ssList @ SV168 )
| ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1649,plain,
! [SV313: $i,SV244: $i,SV264: $i,SV169: $i,SV290: $i] :
( ( ( ssList @ SV290 )
= $false )
| ( ( ~ ( ssList @ SV169 )
| ~ ( ssItem @ SV264 )
| ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1650,plain,
! [SV322: $i,SV245: $i,SV291: $i,SV170: $i,SV265: $i,SV314: $i] :
( ( ( ~ ( ssList @ SV314 ) )
= $true )
| ( ( ~ ( ssList @ SV265 )
| ~ ( ssList @ SV170 )
| ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1591]) ).
thf(1651,plain,
! [SV323: $i,SV246: $i,SV292: $i,SV171: $i,SV266: $i,SV315: $i] :
( ( ( ~ ( ssList @ SV315 ) )
= $true )
| ( ( ~ ( ssList @ SV266 )
| ~ ( ssList @ SV171 )
| ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1592]) ).
thf(1652,plain,
! [SV324: $i,SV247: $i,SV293: $i,SV172: $i,SV267: $i,SV316: $i] :
( ( ( ~ ( ssList @ SV316 ) )
= $true )
| ( ( ~ ( ssList @ SV267 )
| ~ ( ssList @ SV172 )
| ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1593]) ).
thf(1653,plain,
! [SV325: $i,SV248: $i,SV294: $i,SV173: $i,SV268: $i,SV317: $i] :
( ( ( ~ ( ssList @ SV317 ) )
= $true )
| ( ( ~ ( ssList @ SV268 )
| ~ ( ssList @ SV173 )
| ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1594]) ).
thf(1654,plain,
! [SV331: $i,SV249: $i,SV295: $i,SV174: $i,SV269: $i] :
( ( ( ! [SY595: $i] :
( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
!= SY595 )
| ~ ( ssList @ SV331 )
| ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SY595 )
| ~ ( ssList @ SY595 ) ) )
= $true )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(1655,plain,
! [SV175: $i,SV296: $i] :
( ( ( ( app @ SV296 @ ( cons @ SV175 @ nil ) )
= sk1 )
= $false )
| ( ( ( app @ ( cons @ SV175 @ nil ) @ SV296 )
= sk2 )
= $false )
| ( ( ssList @ SV296 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( nil = sk2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1656,plain,
! [SV318: $i,SV250: $i] :
( ( ( ( app @ ( cons @ SV250 @ nil ) @ SV318 )
= sk2 )
= $false )
| ( ( ( app @ SV318 @ ( cons @ SV250 @ nil ) )
!= sk1 )
= $true )
| ( ( ssList @ SV318 )
= $false )
| ( ( ssItem @ SV250 )
= $false )
| ( ( nil = sk1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1597]) ).
thf(1657,plain,
! [SV115: $i,SV201: $i] :
( ( ( ssItem @ SV201 )
= $false )
| ( ( SV201 = SV115 )
= $true )
| ( ( ssItem @ SV115 )
= $false )
| ( ( geq @ SV201 @ SV115 )
= $false )
| ( ( geq @ SV115 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1658,plain,
! [SV116: $i,SV202: $i] :
( ( ( ssList @ SV202 )
= $false )
| ( ( SV202 = SV116 )
= $true )
| ( ( ssList @ SV116 )
= $false )
| ( ( segmentP @ SV202 @ SV116 )
= $false )
| ( ( segmentP @ SV116 @ SV202 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1659,plain,
! [SV117: $i,SV203: $i] :
( ( ( ssList @ SV203 )
= $false )
| ( ( SV203 = SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false )
| ( ( rearsegP @ SV203 @ SV117 )
= $false )
| ( ( rearsegP @ SV117 @ SV203 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1660,plain,
! [SV118: $i,SV204: $i] :
( ( ( ssList @ SV204 )
= $false )
| ( ( SV204 = SV118 )
= $true )
| ( ( ssList @ SV118 )
= $false )
| ( ( frontsegP @ SV204 @ SV118 )
= $false )
| ( ( frontsegP @ SV118 @ SV204 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1661,plain,
! [SV119: $i,SV205: $i] :
( ( ( ssItem @ SV205 )
= $false )
| ( ( SV205 = SV119 )
= $true )
| ( ( ssItem @ SV119 )
= $false )
| ( ( leq @ SV205 @ SV119 )
= $false )
| ( ( leq @ SV119 @ SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1662,plain,
! [SV210: $i,SV298: $i,SV125: $i] :
( ( ( ~ ( ssList @ SV125 ) )
= $true )
| ( ( rearsegP @ ( app @ SV298 @ SV125 ) @ SV210 )
= $true )
| ( ( ssList @ SV210 )
= $false )
| ( ( ssList @ SV298 )
= $false )
| ( ( rearsegP @ SV125 @ SV210 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1614]) ).
thf(1663,plain,
! [SV211: $i,SV299: $i,SV126: $i] :
( ( ( ~ ( ssList @ SV126 ) )
= $true )
| ( ( frontsegP @ ( app @ SV126 @ SV299 ) @ SV211 )
= $true )
| ( ( ssList @ SV211 )
= $false )
| ( ( ssList @ SV299 )
= $false )
| ( ( frontsegP @ SV126 @ SV211 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1615]) ).
thf(1664,plain,
! [SV300: $i,SV212: $i,SV127: $i] :
( ( ( ~ ( ssItem @ SV127 ) )
= $true )
| ( ( memberP @ ( cons @ SV212 @ SV300 ) @ SV127 )
= $true )
| ( ( ssItem @ SV212 )
= $false )
| ( ( ssList @ SV300 )
= $false )
| ( ( SV127 = SV212 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1616]) ).
thf(1665,plain,
! [SV128: $i,SV326: $i,SV213: $i] :
( ( ( ~ ( ssItem @ SV213 ) )
= $true )
| ( ( memberP @ ( cons @ SV326 @ SV128 ) @ SV213 )
= $true )
| ( ( ssItem @ SV326 )
= $false )
| ( ( ssList @ SV128 )
= $false )
| ( ( memberP @ SV128 @ SV213 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1617]) ).
thf(1666,plain,
! [SV301: $i,SV129: $i,SV214: $i] :
( ( ( ~ ( ssItem @ SV214 ) )
= $true )
| ( ( memberP @ ( app @ SV129 @ SV301 ) @ SV214 )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssList @ SV301 )
= $false )
| ( ( memberP @ SV129 @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1618]) ).
thf(1667,plain,
! [SV130: $i,SV327: $i,SV215: $i] :
( ( ( ~ ( ssItem @ SV215 ) )
= $true )
| ( ( memberP @ ( app @ SV327 @ SV130 ) @ SV215 )
= $true )
| ( ( ssList @ SV327 )
= $false )
| ( ( ssList @ SV130 )
= $false )
| ( ( memberP @ SV130 @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1619]) ).
thf(1668,plain,
! [SV132: $i,SV216: $i,SV251: $i] :
( ( ( ~ ( ssList @ SV251 ) )
= $true )
| ( ( rearsegP @ SV251 @ SV216 )
= $true )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssList @ SV132 )
= $false )
| ( ( ( app @ SV132 @ SV216 )
= SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1620]) ).
thf(1669,plain,
! [SV217: $i,SV133: $i,SV252: $i] :
( ( ( ~ ( ssList @ SV252 ) )
= $true )
| ( ( frontsegP @ SV252 @ SV133 )
= $true )
| ( ( ssList @ SV133 )
= $false )
| ( ( ssList @ SV217 )
= $false )
| ( ( ( app @ SV133 @ SV217 )
= SV252 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1621]) ).
thf(1670,plain,
! [SV280: $i,SV134: $i] :
( ( ( ssList @ SV134 )
= $false )
| ( ( ( app @ SV134 @ SV280 )
= nil )
= $true )
| ( ( ssList @ SV280 )
= $false )
| ( ( nil = SV280 )
= $false )
| ( ( nil = SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1622]) ).
thf(1671,plain,
! [SV302: $i,SV135: $i,SV218: $i] :
( ( ( ~ ( ssItem @ SV218 ) )
= $true )
| ( ( ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SV302 ) )
= $true )
| ( ( ssItem @ SV302 )
= $false )
| ( ( gt @ SV218 @ SV302 )
= $false )
| ( ( gt @ SV135 @ SV218 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1623]) ).
thf(1672,plain,
! [SV303: $i,SV136: $i,SV219: $i] :
( ( ( ~ ( ssItem @ SV219 ) )
= $true )
| ( ( ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SV303 ) )
= $true )
| ( ( ssItem @ SV303 )
= $false )
| ( ( lt @ SV219 @ SV303 )
= $false )
| ( ( leq @ SV136 @ SV219 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1624]) ).
thf(1673,plain,
! [SV304: $i,SV137: $i,SV220: $i] :
( ( ( ~ ( ssItem @ SV220 ) )
= $true )
| ( ( ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SV304 ) )
= $true )
| ( ( ssItem @ SV304 )
= $false )
| ( ( geq @ SV220 @ SV304 )
= $false )
| ( ( geq @ SV137 @ SV220 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1625]) ).
thf(1674,plain,
! [SV139: $i,SV221: $i,SV253: $i] :
( ( ( ~ ( ssList @ SV253 ) )
= $true )
| ( ( SV221 = SV253 )
= $true )
| ( ( ssList @ SV139 )
= $false )
| ( ( ssList @ SV221 )
= $false )
| ( ( ( app @ SV139 @ SV221 )
= ( app @ SV139 @ SV253 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1627]) ).
thf(1675,plain,
! [SV222: $i,SV140: $i,SV254: $i] :
( ( ( ~ ( ssList @ SV254 ) )
= $true )
| ( ( SV140 = SV254 )
= $true )
| ( ( ssList @ SV222 )
= $false )
| ( ( ssList @ SV140 )
= $false )
| ( ( ( app @ SV140 @ SV222 )
= ( app @ SV254 @ SV222 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1628]) ).
thf(1676,plain,
! [SV305: $i,SV141: $i,SV223: $i] :
( ( ( ~ ( ssList @ SV223 ) )
= $true )
| ( ( ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SV305 ) )
= $true )
| ( ( ssList @ SV305 )
= $false )
| ( ( segmentP @ SV223 @ SV305 )
= $false )
| ( ( segmentP @ SV141 @ SV223 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1629]) ).
thf(1677,plain,
! [SV306: $i,SV142: $i,SV224: $i] :
( ( ( ~ ( ssList @ SV224 ) )
= $true )
| ( ( ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SV306 ) )
= $true )
| ( ( ssList @ SV306 )
= $false )
| ( ( rearsegP @ SV224 @ SV306 )
= $false )
| ( ( rearsegP @ SV142 @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1630]) ).
thf(1678,plain,
! [SV307: $i,SV143: $i,SV225: $i] :
( ( ( ~ ( ssList @ SV225 ) )
= $true )
| ( ( ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SV307 ) )
= $true )
| ( ( ssList @ SV307 )
= $false )
| ( ( frontsegP @ SV225 @ SV307 )
= $false )
| ( ( frontsegP @ SV143 @ SV225 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1631]) ).
thf(1679,plain,
! [SV308: $i,SV144: $i,SV226: $i] :
( ( ( ~ ( ssItem @ SV226 ) )
= $true )
| ( ( ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SV308 ) )
= $true )
| ( ( ssItem @ SV308 )
= $false )
| ( ( lt @ SV226 @ SV308 )
= $false )
| ( ( lt @ SV144 @ SV226 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1632]) ).
thf(1680,plain,
! [SV309: $i,SV145: $i,SV227: $i] :
( ( ( ~ ( ssItem @ SV227 ) )
= $true )
| ( ( ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SV309 ) )
= $true )
| ( ( ssItem @ SV309 )
= $false )
| ( ( leq @ SV227 @ SV309 )
= $false )
| ( ( leq @ SV145 @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1633]) ).
thf(1681,plain,
! [SV147: $i,SV228: $i,SV255: $i] :
( ( ( ~ ( ssItem @ SV255 ) )
= $true )
| ( ( ( memberP @ SV228 @ SV255 )
| ( memberP @ SV147 @ SV255 ) )
= $true )
| ( ( ssList @ SV147 )
= $false )
| ( ( ssList @ SV228 )
= $false )
| ( ( memberP @ ( app @ SV147 @ SV228 ) @ SV255 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1635]) ).
thf(1682,plain,
! [SV229: $i,SV148: $i] :
( ( ( ssItem @ SV148 )
= $false )
| ( ( ( nil = SV229 )
| ( totalorderedP @ ( cons @ SV148 @ SV229 ) ) )
= $true )
| ( ( ssList @ SV229 )
= $false )
| ( ( totalorderedP @ SV229 )
= $false )
| ( ( leq @ SV148 @ ( hd @ SV229 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1636]) ).
thf(1683,plain,
! [SV230: $i,SV149: $i] :
( ( ( ssItem @ SV149 )
= $false )
| ( ( ( nil = SV230 )
| ( strictorderedP @ ( cons @ SV149 @ SV230 ) ) )
= $true )
| ( ( ssList @ SV230 )
= $false )
| ( ( strictorderedP @ SV230 )
= $false )
| ( ( lt @ SV149 @ ( hd @ SV230 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1637]) ).
thf(1684,plain,
! [SV231: $i,SV150: $i,SV256: $i] :
( ( ( ~ ( ssItem @ SV256 ) )
= $true )
| ( ( ( SV256 = SV150 )
| ( memberP @ SV231 @ SV256 ) )
= $true )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV231 )
= $false )
| ( ( memberP @ ( cons @ SV150 @ SV231 ) @ SV256 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1638]) ).
thf(1685,plain,
! [SV257: $i,SV234: $i,SV283: $i,SV159: $i] :
( ( ( ssItem @ SV159 )
= $false )
| ( ( ~ ( ssList @ SV283 )
| ~ ( ssList @ SV234 )
| ( SV159 = SV257 ) )
= $true )
| ( ( ssItem @ SV257 )
= $false )
| ( ( ( cons @ SV159 @ SV234 )
= ( cons @ SV257 @ SV283 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1686,plain,
! [SV258: $i,SV235: $i,SV284: $i,SV160: $i] :
( ( ( ssItem @ SV160 )
= $false )
| ( ( ~ ( ssList @ SV284 )
| ~ ( ssList @ SV235 )
| ( SV284 = SV235 ) )
= $true )
| ( ( ssItem @ SV258 )
= $false )
| ( ( ( cons @ SV160 @ SV235 )
= ( cons @ SV258 @ SV284 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1687,plain,
! [SV310: $i,SV161: $i,SV236: $i,SV330: $i] :
( ( ( ssList @ SV330 )
= $false )
| ( ( ~ ( ssList @ SV236 )
| ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SV330 @ SV161 ) @ SV310 ) @ SV236 ) )
= $true )
| ( ( ssList @ SV310 )
= $false )
| ( ( segmentP @ SV161 @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1641]) ).
thf(1688,plain,
! [SV259: $i,SV285: $i,SV237: $i,SV162: $i] :
( ( ( ssList @ SV162 )
= $false )
| ( ( ~ ( ssList @ SV237 )
| ~ ( ssList @ SV285 )
| ( segmentP @ SV285 @ SV237 ) )
= $true )
| ( ( ssList @ SV259 )
= $false )
| ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
= SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1689,plain,
! [SV286: $i,SV163: $i,SV260: $i,SV238: $i] :
( ( ( ssList @ SV238 )
= $false )
| ( ( ~ ( ssItem @ SV260 )
| ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SV286 ) )
= $true )
| ( ( ssList @ SV286 )
= $false )
| ( ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1643]) ).
thf(1690,plain,
! [SV261: $i,SV287: $i,SV239: $i,SV164: $i] :
( ( ( ssList @ SV164 )
= $false )
| ( ( ~ ( ssItem @ SV239 )
| ~ ( ssList @ SV287 )
| ( memberP @ SV287 @ SV239 ) )
= $true )
| ( ( ssList @ SV261 )
= $false )
| ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
= SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1644]) ).
thf(1691,plain,
! [SV288: $i,SV165: $i,SV262: $i,SV240: $i] :
( ( ( ssList @ SV240 )
= $false )
| ( ( ~ ( ssItem @ SV262 )
| ~ ( ssItem @ SV165 )
| ( SV165 = SV262 ) )
= $true )
| ( ( ssList @ SV288 )
= $false )
| ( ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1692,plain,
! [SV166: $i,SV241: $i] :
( ( ( ssList @ SV241 )
= $false )
| ( ( ( nil = SV241 )
| ( SV166 = SV241 )
| ( nil = SV166 ) )
= $true )
| ( ( ssList @ SV166 )
= $false )
| ( ( ( hd @ SV166 )
= ( hd @ SV241 ) )
= $false )
| ( ( ( tl @ SV166 )
= ( tl @ SV241 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1646]) ).
thf(1693,plain,
! [SV311: $i,SV321: $i,SV167: $i,SV242: $i] :
( ( ( ssList @ SV242 )
= $false )
| ( ( ~ ( ssList @ SV167 )
| ~ ( ssItem @ SV321 )
| ~ ( ssItem @ SV311 )
| ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) ) )
= $true )
| ( ( SV311 = SV321 )
= $false )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1647]) ).
thf(1694,plain,
! [SV289: $i,SV312: $i,SV243: $i,SV168: $i,SV263: $i] :
( ( ( ~ ( ssList @ SV263 ) )
= $true )
| ( ( ~ ( ssList @ SV168 )
| ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true )
| ( ( ssList @ SV289 )
= $false )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1648]) ).
thf(1695,plain,
! [SV290: $i,SV313: $i,SV244: $i,SV264: $i,SV169: $i] :
( ( ( ~ ( ssList @ SV169 ) )
= $true )
| ( ( ~ ( ssItem @ SV264 )
| ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true )
| ( ( ssList @ SV290 )
= $false )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1649]) ).
thf(1696,plain,
! [SV322: $i,SV245: $i,SV291: $i,SV170: $i,SV265: $i,SV314: $i] :
( ( ( ssList @ SV314 )
= $false )
| ( ( ~ ( ssList @ SV265 )
| ~ ( ssList @ SV170 )
| ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1650]) ).
thf(1697,plain,
! [SV323: $i,SV246: $i,SV292: $i,SV171: $i,SV266: $i,SV315: $i] :
( ( ( ssList @ SV315 )
= $false )
| ( ( ~ ( ssList @ SV266 )
| ~ ( ssList @ SV171 )
| ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1651]) ).
thf(1698,plain,
! [SV324: $i,SV247: $i,SV293: $i,SV172: $i,SV267: $i,SV316: $i] :
( ( ( ssList @ SV316 )
= $false )
| ( ( ~ ( ssList @ SV267 )
| ~ ( ssList @ SV172 )
| ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1699,plain,
! [SV325: $i,SV248: $i,SV294: $i,SV173: $i,SV268: $i,SV317: $i] :
( ( ( ssList @ SV317 )
= $false )
| ( ( ~ ( ssList @ SV268 )
| ~ ( ssList @ SV173 )
| ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1700,plain,
! [SV332: $i,SV331: $i,SV249: $i,SV295: $i,SV174: $i,SV269: $i] :
( ( ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
!= SV332 )
| ~ ( ssList @ SV331 )
| ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(1701,plain,
! [SV250: $i,SV318: $i] :
( ( ( ( app @ SV318 @ ( cons @ SV250 @ nil ) )
= sk1 )
= $false )
| ( ( ( app @ ( cons @ SV250 @ nil ) @ SV318 )
= sk2 )
= $false )
| ( ( ssList @ SV318 )
= $false )
| ( ( ssItem @ SV250 )
= $false )
| ( ( nil = sk1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1656]) ).
thf(1702,plain,
! [SV210: $i,SV298: $i,SV125: $i] :
( ( ( ssList @ SV125 )
= $false )
| ( ( rearsegP @ ( app @ SV298 @ SV125 ) @ SV210 )
= $true )
| ( ( ssList @ SV210 )
= $false )
| ( ( ssList @ SV298 )
= $false )
| ( ( rearsegP @ SV125 @ SV210 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1662]) ).
thf(1703,plain,
! [SV211: $i,SV299: $i,SV126: $i] :
( ( ( ssList @ SV126 )
= $false )
| ( ( frontsegP @ ( app @ SV126 @ SV299 ) @ SV211 )
= $true )
| ( ( ssList @ SV211 )
= $false )
| ( ( ssList @ SV299 )
= $false )
| ( ( frontsegP @ SV126 @ SV211 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1663]) ).
thf(1704,plain,
! [SV300: $i,SV212: $i,SV127: $i] :
( ( ( ssItem @ SV127 )
= $false )
| ( ( memberP @ ( cons @ SV212 @ SV300 ) @ SV127 )
= $true )
| ( ( ssItem @ SV212 )
= $false )
| ( ( ssList @ SV300 )
= $false )
| ( ( SV127 = SV212 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1664]) ).
thf(1705,plain,
! [SV128: $i,SV326: $i,SV213: $i] :
( ( ( ssItem @ SV213 )
= $false )
| ( ( memberP @ ( cons @ SV326 @ SV128 ) @ SV213 )
= $true )
| ( ( ssItem @ SV326 )
= $false )
| ( ( ssList @ SV128 )
= $false )
| ( ( memberP @ SV128 @ SV213 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1665]) ).
thf(1706,plain,
! [SV301: $i,SV129: $i,SV214: $i] :
( ( ( ssItem @ SV214 )
= $false )
| ( ( memberP @ ( app @ SV129 @ SV301 ) @ SV214 )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssList @ SV301 )
= $false )
| ( ( memberP @ SV129 @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1707,plain,
! [SV130: $i,SV327: $i,SV215: $i] :
( ( ( ssItem @ SV215 )
= $false )
| ( ( memberP @ ( app @ SV327 @ SV130 ) @ SV215 )
= $true )
| ( ( ssList @ SV327 )
= $false )
| ( ( ssList @ SV130 )
= $false )
| ( ( memberP @ SV130 @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1667]) ).
thf(1708,plain,
! [SV132: $i,SV216: $i,SV251: $i] :
( ( ( ssList @ SV251 )
= $false )
| ( ( rearsegP @ SV251 @ SV216 )
= $true )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssList @ SV132 )
= $false )
| ( ( ( app @ SV132 @ SV216 )
= SV251 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1709,plain,
! [SV217: $i,SV133: $i,SV252: $i] :
( ( ( ssList @ SV252 )
= $false )
| ( ( frontsegP @ SV252 @ SV133 )
= $true )
| ( ( ssList @ SV133 )
= $false )
| ( ( ssList @ SV217 )
= $false )
| ( ( ( app @ SV133 @ SV217 )
= SV252 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1710,plain,
! [SV302: $i,SV135: $i,SV218: $i] :
( ( ( ssItem @ SV218 )
= $false )
| ( ( ~ ( ssItem @ SV135 )
| ( gt @ SV135 @ SV302 ) )
= $true )
| ( ( ssItem @ SV302 )
= $false )
| ( ( gt @ SV218 @ SV302 )
= $false )
| ( ( gt @ SV135 @ SV218 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1711,plain,
! [SV303: $i,SV136: $i,SV219: $i] :
( ( ( ssItem @ SV219 )
= $false )
| ( ( ~ ( ssItem @ SV136 )
| ( lt @ SV136 @ SV303 ) )
= $true )
| ( ( ssItem @ SV303 )
= $false )
| ( ( lt @ SV219 @ SV303 )
= $false )
| ( ( leq @ SV136 @ SV219 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1712,plain,
! [SV304: $i,SV137: $i,SV220: $i] :
( ( ( ssItem @ SV220 )
= $false )
| ( ( ~ ( ssItem @ SV137 )
| ( geq @ SV137 @ SV304 ) )
= $true )
| ( ( ssItem @ SV304 )
= $false )
| ( ( geq @ SV220 @ SV304 )
= $false )
| ( ( geq @ SV137 @ SV220 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1713,plain,
! [SV139: $i,SV221: $i,SV253: $i] :
( ( ( ssList @ SV253 )
= $false )
| ( ( SV221 = SV253 )
= $true )
| ( ( ssList @ SV139 )
= $false )
| ( ( ssList @ SV221 )
= $false )
| ( ( ( app @ SV139 @ SV221 )
= ( app @ SV139 @ SV253 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1714,plain,
! [SV222: $i,SV140: $i,SV254: $i] :
( ( ( ssList @ SV254 )
= $false )
| ( ( SV140 = SV254 )
= $true )
| ( ( ssList @ SV222 )
= $false )
| ( ( ssList @ SV140 )
= $false )
| ( ( ( app @ SV140 @ SV222 )
= ( app @ SV254 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1715,plain,
! [SV305: $i,SV141: $i,SV223: $i] :
( ( ( ssList @ SV223 )
= $false )
| ( ( ~ ( ssList @ SV141 )
| ( segmentP @ SV141 @ SV305 ) )
= $true )
| ( ( ssList @ SV305 )
= $false )
| ( ( segmentP @ SV223 @ SV305 )
= $false )
| ( ( segmentP @ SV141 @ SV223 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(1716,plain,
! [SV306: $i,SV142: $i,SV224: $i] :
( ( ( ssList @ SV224 )
= $false )
| ( ( ~ ( ssList @ SV142 )
| ( rearsegP @ SV142 @ SV306 ) )
= $true )
| ( ( ssList @ SV306 )
= $false )
| ( ( rearsegP @ SV224 @ SV306 )
= $false )
| ( ( rearsegP @ SV142 @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1677]) ).
thf(1717,plain,
! [SV307: $i,SV143: $i,SV225: $i] :
( ( ( ssList @ SV225 )
= $false )
| ( ( ~ ( ssList @ SV143 )
| ( frontsegP @ SV143 @ SV307 ) )
= $true )
| ( ( ssList @ SV307 )
= $false )
| ( ( frontsegP @ SV225 @ SV307 )
= $false )
| ( ( frontsegP @ SV143 @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1718,plain,
! [SV308: $i,SV144: $i,SV226: $i] :
( ( ( ssItem @ SV226 )
= $false )
| ( ( ~ ( ssItem @ SV144 )
| ( lt @ SV144 @ SV308 ) )
= $true )
| ( ( ssItem @ SV308 )
= $false )
| ( ( lt @ SV226 @ SV308 )
= $false )
| ( ( lt @ SV144 @ SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1679]) ).
thf(1719,plain,
! [SV309: $i,SV145: $i,SV227: $i] :
( ( ( ssItem @ SV227 )
= $false )
| ( ( ~ ( ssItem @ SV145 )
| ( leq @ SV145 @ SV309 ) )
= $true )
| ( ( ssItem @ SV309 )
= $false )
| ( ( leq @ SV227 @ SV309 )
= $false )
| ( ( leq @ SV145 @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1680]) ).
thf(1720,plain,
! [SV147: $i,SV228: $i,SV255: $i] :
( ( ( ssItem @ SV255 )
= $false )
| ( ( ( memberP @ SV228 @ SV255 )
| ( memberP @ SV147 @ SV255 ) )
= $true )
| ( ( ssList @ SV147 )
= $false )
| ( ( ssList @ SV228 )
= $false )
| ( ( memberP @ ( app @ SV147 @ SV228 ) @ SV255 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1721,plain,
! [SV148: $i,SV229: $i] :
( ( ( nil = SV229 )
= $true )
| ( ( totalorderedP @ ( cons @ SV148 @ SV229 ) )
= $true )
| ( ( ssItem @ SV148 )
= $false )
| ( ( ssList @ SV229 )
= $false )
| ( ( totalorderedP @ SV229 )
= $false )
| ( ( leq @ SV148 @ ( hd @ SV229 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1682]) ).
thf(1722,plain,
! [SV149: $i,SV230: $i] :
( ( ( nil = SV230 )
= $true )
| ( ( strictorderedP @ ( cons @ SV149 @ SV230 ) )
= $true )
| ( ( ssItem @ SV149 )
= $false )
| ( ( ssList @ SV230 )
= $false )
| ( ( strictorderedP @ SV230 )
= $false )
| ( ( lt @ SV149 @ ( hd @ SV230 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1683]) ).
thf(1723,plain,
! [SV231: $i,SV150: $i,SV256: $i] :
( ( ( ssItem @ SV256 )
= $false )
| ( ( ( SV256 = SV150 )
| ( memberP @ SV231 @ SV256 ) )
= $true )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV231 )
= $false )
| ( ( memberP @ ( cons @ SV150 @ SV231 ) @ SV256 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1724,plain,
! [SV257: $i,SV159: $i,SV234: $i,SV283: $i] :
( ( ( ~ ( ssList @ SV283 ) )
= $true )
| ( ( ~ ( ssList @ SV234 )
| ( SV159 = SV257 ) )
= $true )
| ( ( ssItem @ SV159 )
= $false )
| ( ( ssItem @ SV257 )
= $false )
| ( ( ( cons @ SV159 @ SV234 )
= ( cons @ SV257 @ SV283 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1685]) ).
thf(1725,plain,
! [SV258: $i,SV160: $i,SV235: $i,SV284: $i] :
( ( ( ~ ( ssList @ SV284 ) )
= $true )
| ( ( ~ ( ssList @ SV235 )
| ( SV284 = SV235 ) )
= $true )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssItem @ SV258 )
= $false )
| ( ( ( cons @ SV160 @ SV235 )
= ( cons @ SV258 @ SV284 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1686]) ).
thf(1726,plain,
! [SV310: $i,SV330: $i,SV161: $i,SV236: $i] :
( ( ( ~ ( ssList @ SV236 ) )
= $true )
| ( ( ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SV330 @ SV161 ) @ SV310 ) @ SV236 ) )
= $true )
| ( ( ssList @ SV330 )
= $false )
| ( ( ssList @ SV310 )
= $false )
| ( ( segmentP @ SV161 @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1687]) ).
thf(1727,plain,
! [SV259: $i,SV162: $i,SV285: $i,SV237: $i] :
( ( ( ~ ( ssList @ SV237 ) )
= $true )
| ( ( ~ ( ssList @ SV285 )
| ( segmentP @ SV285 @ SV237 ) )
= $true )
| ( ( ssList @ SV162 )
= $false )
| ( ( ssList @ SV259 )
= $false )
| ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
= SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1688]) ).
thf(1728,plain,
! [SV286: $i,SV238: $i,SV163: $i,SV260: $i] :
( ( ( ~ ( ssItem @ SV260 ) )
= $true )
| ( ( ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SV286 ) )
= $true )
| ( ( ssList @ SV238 )
= $false )
| ( ( ssList @ SV286 )
= $false )
| ( ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1689]) ).
thf(1729,plain,
! [SV261: $i,SV164: $i,SV287: $i,SV239: $i] :
( ( ( ~ ( ssItem @ SV239 ) )
= $true )
| ( ( ~ ( ssList @ SV287 )
| ( memberP @ SV287 @ SV239 ) )
= $true )
| ( ( ssList @ SV164 )
= $false )
| ( ( ssList @ SV261 )
= $false )
| ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
= SV287 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1690]) ).
thf(1730,plain,
! [SV288: $i,SV240: $i,SV165: $i,SV262: $i] :
( ( ( ~ ( ssItem @ SV262 ) )
= $true )
| ( ( ~ ( ssItem @ SV165 )
| ( SV165 = SV262 ) )
= $true )
| ( ( ssList @ SV240 )
= $false )
| ( ( ssList @ SV288 )
= $false )
| ( ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1691]) ).
thf(1731,plain,
! [SV166: $i,SV241: $i] :
( ( ( nil = SV241 )
= $true )
| ( ( ( SV166 = SV241 )
| ( nil = SV166 ) )
= $true )
| ( ( ssList @ SV241 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ( hd @ SV166 )
= ( hd @ SV241 ) )
= $false )
| ( ( ( tl @ SV166 )
= ( tl @ SV241 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1692]) ).
thf(1732,plain,
! [SV242: $i,SV311: $i,SV321: $i,SV167: $i] :
( ( ( ~ ( ssList @ SV167 ) )
= $true )
| ( ( ~ ( ssItem @ SV321 )
| ~ ( ssItem @ SV311 )
| ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) ) )
= $true )
| ( ( ssList @ SV242 )
= $false )
| ( ( SV311 = SV321 )
= $false )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1693]) ).
thf(1733,plain,
! [SV289: $i,SV312: $i,SV243: $i,SV168: $i,SV263: $i] :
( ( ( ssList @ SV263 )
= $false )
| ( ( ~ ( ssList @ SV168 )
| ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true )
| ( ( ssList @ SV289 )
= $false )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1694]) ).
thf(1734,plain,
! [SV290: $i,SV313: $i,SV244: $i,SV264: $i,SV169: $i] :
( ( ( ssList @ SV169 )
= $false )
| ( ( ~ ( ssItem @ SV264 )
| ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true )
| ( ( ssList @ SV290 )
= $false )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1735,plain,
! [SV314: $i,SV322: $i,SV245: $i,SV291: $i,SV170: $i,SV265: $i] :
( ( ( ~ ( ssList @ SV265 ) )
= $true )
| ( ( ~ ( ssList @ SV170 )
| ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1696]) ).
thf(1736,plain,
! [SV315: $i,SV323: $i,SV246: $i,SV292: $i,SV171: $i,SV266: $i] :
( ( ( ~ ( ssList @ SV266 ) )
= $true )
| ( ( ~ ( ssList @ SV171 )
| ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1697]) ).
thf(1737,plain,
! [SV316: $i,SV324: $i,SV247: $i,SV293: $i,SV172: $i,SV267: $i] :
( ( ( ~ ( ssList @ SV267 ) )
= $true )
| ( ( ~ ( ssList @ SV172 )
| ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1698]) ).
thf(1738,plain,
! [SV317: $i,SV325: $i,SV248: $i,SV294: $i,SV173: $i,SV268: $i] :
( ( ( ~ ( ssList @ SV268 ) )
= $true )
| ( ( ~ ( ssList @ SV173 )
| ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1699]) ).
thf(1739,plain,
! [SV332: $i,SV331: $i,SV249: $i,SV295: $i,SV174: $i,SV269: $i] :
( ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
!= SV332 )
= $true )
| ( ( ~ ( ssList @ SV331 )
| ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1700]) ).
thf(1740,plain,
! [SV218: $i,SV302: $i,SV135: $i] :
( ( ( ~ ( ssItem @ SV135 ) )
= $true )
| ( ( gt @ SV135 @ SV302 )
= $true )
| ( ( ssItem @ SV218 )
= $false )
| ( ( ssItem @ SV302 )
= $false )
| ( ( gt @ SV218 @ SV302 )
= $false )
| ( ( gt @ SV135 @ SV218 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1710]) ).
thf(1741,plain,
! [SV219: $i,SV303: $i,SV136: $i] :
( ( ( ~ ( ssItem @ SV136 ) )
= $true )
| ( ( lt @ SV136 @ SV303 )
= $true )
| ( ( ssItem @ SV219 )
= $false )
| ( ( ssItem @ SV303 )
= $false )
| ( ( lt @ SV219 @ SV303 )
= $false )
| ( ( leq @ SV136 @ SV219 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1711]) ).
thf(1742,plain,
! [SV220: $i,SV304: $i,SV137: $i] :
( ( ( ~ ( ssItem @ SV137 ) )
= $true )
| ( ( geq @ SV137 @ SV304 )
= $true )
| ( ( ssItem @ SV220 )
= $false )
| ( ( ssItem @ SV304 )
= $false )
| ( ( geq @ SV220 @ SV304 )
= $false )
| ( ( geq @ SV137 @ SV220 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1712]) ).
thf(1743,plain,
! [SV223: $i,SV305: $i,SV141: $i] :
( ( ( ~ ( ssList @ SV141 ) )
= $true )
| ( ( segmentP @ SV141 @ SV305 )
= $true )
| ( ( ssList @ SV223 )
= $false )
| ( ( ssList @ SV305 )
= $false )
| ( ( segmentP @ SV223 @ SV305 )
= $false )
| ( ( segmentP @ SV141 @ SV223 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1715]) ).
thf(1744,plain,
! [SV224: $i,SV306: $i,SV142: $i] :
( ( ( ~ ( ssList @ SV142 ) )
= $true )
| ( ( rearsegP @ SV142 @ SV306 )
= $true )
| ( ( ssList @ SV224 )
= $false )
| ( ( ssList @ SV306 )
= $false )
| ( ( rearsegP @ SV224 @ SV306 )
= $false )
| ( ( rearsegP @ SV142 @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1745,plain,
! [SV225: $i,SV307: $i,SV143: $i] :
( ( ( ~ ( ssList @ SV143 ) )
= $true )
| ( ( frontsegP @ SV143 @ SV307 )
= $true )
| ( ( ssList @ SV225 )
= $false )
| ( ( ssList @ SV307 )
= $false )
| ( ( frontsegP @ SV225 @ SV307 )
= $false )
| ( ( frontsegP @ SV143 @ SV225 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1717]) ).
thf(1746,plain,
! [SV226: $i,SV308: $i,SV144: $i] :
( ( ( ~ ( ssItem @ SV144 ) )
= $true )
| ( ( lt @ SV144 @ SV308 )
= $true )
| ( ( ssItem @ SV226 )
= $false )
| ( ( ssItem @ SV308 )
= $false )
| ( ( lt @ SV226 @ SV308 )
= $false )
| ( ( lt @ SV144 @ SV226 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1747,plain,
! [SV227: $i,SV309: $i,SV145: $i] :
( ( ( ~ ( ssItem @ SV145 ) )
= $true )
| ( ( leq @ SV145 @ SV309 )
= $true )
| ( ( ssItem @ SV227 )
= $false )
| ( ( ssItem @ SV309 )
= $false )
| ( ( leq @ SV227 @ SV309 )
= $false )
| ( ( leq @ SV145 @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1719]) ).
thf(1748,plain,
! [SV147: $i,SV255: $i,SV228: $i] :
( ( ( memberP @ SV228 @ SV255 )
= $true )
| ( ( memberP @ SV147 @ SV255 )
= $true )
| ( ( ssItem @ SV255 )
= $false )
| ( ( ssList @ SV147 )
= $false )
| ( ( ssList @ SV228 )
= $false )
| ( ( memberP @ ( app @ SV147 @ SV228 ) @ SV255 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1720]) ).
thf(1749,plain,
! [SV231: $i,SV150: $i,SV256: $i] :
( ( ( SV256 = SV150 )
= $true )
| ( ( memberP @ SV231 @ SV256 )
= $true )
| ( ( ssItem @ SV256 )
= $false )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV231 )
= $false )
| ( ( memberP @ ( cons @ SV150 @ SV231 ) @ SV256 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1723]) ).
thf(1750,plain,
! [SV257: $i,SV159: $i,SV234: $i,SV283: $i] :
( ( ( ssList @ SV283 )
= $false )
| ( ( ~ ( ssList @ SV234 )
| ( SV159 = SV257 ) )
= $true )
| ( ( ssItem @ SV159 )
= $false )
| ( ( ssItem @ SV257 )
= $false )
| ( ( ( cons @ SV159 @ SV234 )
= ( cons @ SV257 @ SV283 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1751,plain,
! [SV258: $i,SV160: $i,SV235: $i,SV284: $i] :
( ( ( ssList @ SV284 )
= $false )
| ( ( ~ ( ssList @ SV235 )
| ( SV284 = SV235 ) )
= $true )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssItem @ SV258 )
= $false )
| ( ( ( cons @ SV160 @ SV235 )
= ( cons @ SV258 @ SV284 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1725]) ).
thf(1752,plain,
! [SV310: $i,SV330: $i,SV161: $i,SV236: $i] :
( ( ( ssList @ SV236 )
= $false )
| ( ( ~ ( ssList @ SV161 )
| ( segmentP @ ( app @ ( app @ SV330 @ SV161 ) @ SV310 ) @ SV236 ) )
= $true )
| ( ( ssList @ SV330 )
= $false )
| ( ( ssList @ SV310 )
= $false )
| ( ( segmentP @ SV161 @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1753,plain,
! [SV259: $i,SV162: $i,SV285: $i,SV237: $i] :
( ( ( ssList @ SV237 )
= $false )
| ( ( ~ ( ssList @ SV285 )
| ( segmentP @ SV285 @ SV237 ) )
= $true )
| ( ( ssList @ SV162 )
= $false )
| ( ( ssList @ SV259 )
= $false )
| ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
= SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1754,plain,
! [SV286: $i,SV238: $i,SV163: $i,SV260: $i] :
( ( ( ssItem @ SV260 )
= $false )
| ( ( ~ ( ssItem @ SV163 )
| ( frontsegP @ SV238 @ SV286 ) )
= $true )
| ( ( ssList @ SV238 )
= $false )
| ( ( ssList @ SV286 )
= $false )
| ( ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1755,plain,
! [SV261: $i,SV164: $i,SV287: $i,SV239: $i] :
( ( ( ssItem @ SV239 )
= $false )
| ( ( ~ ( ssList @ SV287 )
| ( memberP @ SV287 @ SV239 ) )
= $true )
| ( ( ssList @ SV164 )
= $false )
| ( ( ssList @ SV261 )
= $false )
| ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
= SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1756,plain,
! [SV288: $i,SV240: $i,SV165: $i,SV262: $i] :
( ( ( ssItem @ SV262 )
= $false )
| ( ( ~ ( ssItem @ SV165 )
| ( SV165 = SV262 ) )
= $true )
| ( ( ssList @ SV240 )
= $false )
| ( ( ssList @ SV288 )
= $false )
| ( ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1730]) ).
thf(1757,plain,
! [SV241: $i,SV166: $i] :
( ( ( SV166 = SV241 )
= $true )
| ( ( nil = SV166 )
= $true )
| ( ( nil = SV241 )
= $true )
| ( ( ssList @ SV241 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ( hd @ SV166 )
= ( hd @ SV241 ) )
= $false )
| ( ( ( tl @ SV166 )
= ( tl @ SV241 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1731]) ).
thf(1758,plain,
! [SV242: $i,SV311: $i,SV321: $i,SV167: $i] :
( ( ( ssList @ SV167 )
= $false )
| ( ( ~ ( ssItem @ SV321 )
| ~ ( ssItem @ SV311 )
| ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) ) )
= $true )
| ( ( ssList @ SV242 )
= $false )
| ( ( SV311 = SV321 )
= $false )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1759,plain,
! [SV289: $i,SV263: $i,SV312: $i,SV243: $i,SV168: $i] :
( ( ( ~ ( ssList @ SV168 ) )
= $true )
| ( ( ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true )
| ( ( ssList @ SV263 )
= $false )
| ( ( ssList @ SV289 )
= $false )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1733]) ).
thf(1760,plain,
! [SV290: $i,SV169: $i,SV313: $i,SV244: $i,SV264: $i] :
( ( ( ~ ( ssItem @ SV264 ) )
= $true )
| ( ( ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true )
| ( ( ssList @ SV169 )
= $false )
| ( ( ssList @ SV290 )
= $false )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1734]) ).
thf(1761,plain,
! [SV314: $i,SV322: $i,SV245: $i,SV291: $i,SV170: $i,SV265: $i] :
( ( ( ssList @ SV265 )
= $false )
| ( ( ~ ( ssList @ SV170 )
| ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1762,plain,
! [SV315: $i,SV323: $i,SV246: $i,SV292: $i,SV171: $i,SV266: $i] :
( ( ( ssList @ SV266 )
= $false )
| ( ( ~ ( ssList @ SV171 )
| ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1736]) ).
thf(1763,plain,
! [SV316: $i,SV324: $i,SV247: $i,SV293: $i,SV172: $i,SV267: $i] :
( ( ( ssList @ SV267 )
= $false )
| ( ( ~ ( ssList @ SV172 )
| ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1764,plain,
! [SV317: $i,SV325: $i,SV248: $i,SV294: $i,SV173: $i,SV268: $i] :
( ( ( ssList @ SV268 )
= $false )
| ( ( ~ ( ssList @ SV173 )
| ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1765,plain,
! [SV332: $i,SV331: $i,SV249: $i,SV295: $i,SV174: $i,SV269: $i] :
( ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( ~ ( ssList @ SV331 )
| ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1766,plain,
! [SV218: $i,SV302: $i,SV135: $i] :
( ( ( ssItem @ SV135 )
= $false )
| ( ( gt @ SV135 @ SV302 )
= $true )
| ( ( ssItem @ SV218 )
= $false )
| ( ( ssItem @ SV302 )
= $false )
| ( ( gt @ SV218 @ SV302 )
= $false )
| ( ( gt @ SV135 @ SV218 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1740]) ).
thf(1767,plain,
! [SV219: $i,SV303: $i,SV136: $i] :
( ( ( ssItem @ SV136 )
= $false )
| ( ( lt @ SV136 @ SV303 )
= $true )
| ( ( ssItem @ SV219 )
= $false )
| ( ( ssItem @ SV303 )
= $false )
| ( ( lt @ SV219 @ SV303 )
= $false )
| ( ( leq @ SV136 @ SV219 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1768,plain,
! [SV220: $i,SV304: $i,SV137: $i] :
( ( ( ssItem @ SV137 )
= $false )
| ( ( geq @ SV137 @ SV304 )
= $true )
| ( ( ssItem @ SV220 )
= $false )
| ( ( ssItem @ SV304 )
= $false )
| ( ( geq @ SV220 @ SV304 )
= $false )
| ( ( geq @ SV137 @ SV220 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1742]) ).
thf(1769,plain,
! [SV223: $i,SV305: $i,SV141: $i] :
( ( ( ssList @ SV141 )
= $false )
| ( ( segmentP @ SV141 @ SV305 )
= $true )
| ( ( ssList @ SV223 )
= $false )
| ( ( ssList @ SV305 )
= $false )
| ( ( segmentP @ SV223 @ SV305 )
= $false )
| ( ( segmentP @ SV141 @ SV223 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1770,plain,
! [SV224: $i,SV306: $i,SV142: $i] :
( ( ( ssList @ SV142 )
= $false )
| ( ( rearsegP @ SV142 @ SV306 )
= $true )
| ( ( ssList @ SV224 )
= $false )
| ( ( ssList @ SV306 )
= $false )
| ( ( rearsegP @ SV224 @ SV306 )
= $false )
| ( ( rearsegP @ SV142 @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1771,plain,
! [SV225: $i,SV307: $i,SV143: $i] :
( ( ( ssList @ SV143 )
= $false )
| ( ( frontsegP @ SV143 @ SV307 )
= $true )
| ( ( ssList @ SV225 )
= $false )
| ( ( ssList @ SV307 )
= $false )
| ( ( frontsegP @ SV225 @ SV307 )
= $false )
| ( ( frontsegP @ SV143 @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1772,plain,
! [SV226: $i,SV308: $i,SV144: $i] :
( ( ( ssItem @ SV144 )
= $false )
| ( ( lt @ SV144 @ SV308 )
= $true )
| ( ( ssItem @ SV226 )
= $false )
| ( ( ssItem @ SV308 )
= $false )
| ( ( lt @ SV226 @ SV308 )
= $false )
| ( ( lt @ SV144 @ SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1773,plain,
! [SV227: $i,SV309: $i,SV145: $i] :
( ( ( ssItem @ SV145 )
= $false )
| ( ( leq @ SV145 @ SV309 )
= $true )
| ( ( ssItem @ SV227 )
= $false )
| ( ( ssItem @ SV309 )
= $false )
| ( ( leq @ SV227 @ SV309 )
= $false )
| ( ( leq @ SV145 @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1747]) ).
thf(1774,plain,
! [SV283: $i,SV257: $i,SV159: $i,SV234: $i] :
( ( ( ~ ( ssList @ SV234 ) )
= $true )
| ( ( SV159 = SV257 )
= $true )
| ( ( ssList @ SV283 )
= $false )
| ( ( ssItem @ SV159 )
= $false )
| ( ( ssItem @ SV257 )
= $false )
| ( ( ( cons @ SV159 @ SV234 )
= ( cons @ SV257 @ SV283 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1750]) ).
thf(1775,plain,
! [SV258: $i,SV160: $i,SV284: $i,SV235: $i] :
( ( ( ~ ( ssList @ SV235 ) )
= $true )
| ( ( SV284 = SV235 )
= $true )
| ( ( ssList @ SV284 )
= $false )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssItem @ SV258 )
= $false )
| ( ( ( cons @ SV160 @ SV235 )
= ( cons @ SV258 @ SV284 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1751]) ).
thf(1776,plain,
! [SV236: $i,SV310: $i,SV330: $i,SV161: $i] :
( ( ( ~ ( ssList @ SV161 ) )
= $true )
| ( ( segmentP @ ( app @ ( app @ SV330 @ SV161 ) @ SV310 ) @ SV236 )
= $true )
| ( ( ssList @ SV236 )
= $false )
| ( ( ssList @ SV330 )
= $false )
| ( ( ssList @ SV310 )
= $false )
| ( ( segmentP @ SV161 @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1752]) ).
thf(1777,plain,
! [SV259: $i,SV162: $i,SV237: $i,SV285: $i] :
( ( ( ~ ( ssList @ SV285 ) )
= $true )
| ( ( segmentP @ SV285 @ SV237 )
= $true )
| ( ( ssList @ SV237 )
= $false )
| ( ( ssList @ SV162 )
= $false )
| ( ( ssList @ SV259 )
= $false )
| ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
= SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1753]) ).
thf(1778,plain,
! [SV260: $i,SV286: $i,SV238: $i,SV163: $i] :
( ( ( ~ ( ssItem @ SV163 ) )
= $true )
| ( ( frontsegP @ SV238 @ SV286 )
= $true )
| ( ( ssItem @ SV260 )
= $false )
| ( ( ssList @ SV238 )
= $false )
| ( ( ssList @ SV286 )
= $false )
| ( ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1754]) ).
thf(1779,plain,
! [SV261: $i,SV164: $i,SV239: $i,SV287: $i] :
( ( ( ~ ( ssList @ SV287 ) )
= $true )
| ( ( memberP @ SV287 @ SV239 )
= $true )
| ( ( ssItem @ SV239 )
= $false )
| ( ( ssList @ SV164 )
= $false )
| ( ( ssList @ SV261 )
= $false )
| ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
= SV287 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1755]) ).
thf(1780,plain,
! [SV288: $i,SV240: $i,SV262: $i,SV165: $i] :
( ( ( ~ ( ssItem @ SV165 ) )
= $true )
| ( ( SV165 = SV262 )
= $true )
| ( ( ssItem @ SV262 )
= $false )
| ( ( ssList @ SV240 )
= $false )
| ( ( ssList @ SV288 )
= $false )
| ( ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1756]) ).
thf(1781,plain,
! [SV242: $i,SV167: $i,SV311: $i,SV321: $i] :
( ( ( ~ ( ssItem @ SV321 ) )
= $true )
| ( ( ~ ( ssItem @ SV311 )
| ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) ) )
= $true )
| ( ( ssList @ SV167 )
= $false )
| ( ( ssList @ SV242 )
= $false )
| ( ( SV311 = SV321 )
= $false )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1758]) ).
thf(1782,plain,
! [SV289: $i,SV263: $i,SV312: $i,SV243: $i,SV168: $i] :
( ( ( ssList @ SV168 )
= $false )
| ( ( ~ ( ssItem @ SV243 )
| ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true )
| ( ( ssList @ SV263 )
= $false )
| ( ( ssList @ SV289 )
= $false )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1759]) ).
thf(1783,plain,
! [SV290: $i,SV169: $i,SV313: $i,SV244: $i,SV264: $i] :
( ( ( ssItem @ SV264 )
= $false )
| ( ( ~ ( ssItem @ SV244 )
| ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true )
| ( ( ssList @ SV169 )
= $false )
| ( ( ssList @ SV290 )
= $false )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1760]) ).
thf(1784,plain,
! [SV314: $i,SV265: $i,SV322: $i,SV245: $i,SV291: $i,SV170: $i] :
( ( ( ~ ( ssList @ SV170 ) )
= $true )
| ( ( ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ssList @ SV265 )
= $false )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1761]) ).
thf(1785,plain,
! [SV315: $i,SV266: $i,SV323: $i,SV246: $i,SV292: $i,SV171: $i] :
( ( ( ~ ( ssList @ SV171 ) )
= $true )
| ( ( ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ssList @ SV266 )
= $false )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1762]) ).
thf(1786,plain,
! [SV316: $i,SV267: $i,SV324: $i,SV247: $i,SV293: $i,SV172: $i] :
( ( ( ~ ( ssList @ SV172 ) )
= $true )
| ( ( ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1763]) ).
thf(1787,plain,
! [SV317: $i,SV268: $i,SV325: $i,SV248: $i,SV294: $i,SV173: $i] :
( ( ( ~ ( ssList @ SV173 ) )
= $true )
| ( ( ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1764]) ).
thf(1788,plain,
! [SV332: $i,SV174: $i,SV249: $i,SV269: $i,SV295: $i,SV331: $i] :
( ( ( ~ ( ssList @ SV331 ) )
= $true )
| ( ( ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1765]) ).
thf(1789,plain,
! [SV283: $i,SV257: $i,SV159: $i,SV234: $i] :
( ( ( ssList @ SV234 )
= $false )
| ( ( SV159 = SV257 )
= $true )
| ( ( ssList @ SV283 )
= $false )
| ( ( ssItem @ SV159 )
= $false )
| ( ( ssItem @ SV257 )
= $false )
| ( ( ( cons @ SV159 @ SV234 )
= ( cons @ SV257 @ SV283 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1774]) ).
thf(1790,plain,
! [SV258: $i,SV160: $i,SV284: $i,SV235: $i] :
( ( ( ssList @ SV235 )
= $false )
| ( ( SV284 = SV235 )
= $true )
| ( ( ssList @ SV284 )
= $false )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssItem @ SV258 )
= $false )
| ( ( ( cons @ SV160 @ SV235 )
= ( cons @ SV258 @ SV284 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(1791,plain,
! [SV236: $i,SV310: $i,SV330: $i,SV161: $i] :
( ( ( ssList @ SV161 )
= $false )
| ( ( segmentP @ ( app @ ( app @ SV330 @ SV161 ) @ SV310 ) @ SV236 )
= $true )
| ( ( ssList @ SV236 )
= $false )
| ( ( ssList @ SV330 )
= $false )
| ( ( ssList @ SV310 )
= $false )
| ( ( segmentP @ SV161 @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(1792,plain,
! [SV259: $i,SV162: $i,SV237: $i,SV285: $i] :
( ( ( ssList @ SV285 )
= $false )
| ( ( segmentP @ SV285 @ SV237 )
= $true )
| ( ( ssList @ SV237 )
= $false )
| ( ( ssList @ SV162 )
= $false )
| ( ( ssList @ SV259 )
= $false )
| ( ( ( app @ ( app @ SV162 @ SV237 ) @ SV259 )
= SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1777]) ).
thf(1793,plain,
! [SV260: $i,SV286: $i,SV238: $i,SV163: $i] :
( ( ( ssItem @ SV163 )
= $false )
| ( ( frontsegP @ SV238 @ SV286 )
= $true )
| ( ( ssItem @ SV260 )
= $false )
| ( ( ssList @ SV238 )
= $false )
| ( ( ssList @ SV286 )
= $false )
| ( ( frontsegP @ ( cons @ SV163 @ SV238 ) @ ( cons @ SV260 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1778]) ).
thf(1794,plain,
! [SV261: $i,SV164: $i,SV239: $i,SV287: $i] :
( ( ( ssList @ SV287 )
= $false )
| ( ( memberP @ SV287 @ SV239 )
= $true )
| ( ( ssItem @ SV239 )
= $false )
| ( ( ssList @ SV164 )
= $false )
| ( ( ssList @ SV261 )
= $false )
| ( ( ( app @ SV164 @ ( cons @ SV239 @ SV261 ) )
= SV287 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1779]) ).
thf(1795,plain,
! [SV288: $i,SV240: $i,SV262: $i,SV165: $i] :
( ( ( ssItem @ SV165 )
= $false )
| ( ( SV165 = SV262 )
= $true )
| ( ( ssItem @ SV262 )
= $false )
| ( ( ssList @ SV240 )
= $false )
| ( ( ssList @ SV288 )
= $false )
| ( ( frontsegP @ ( cons @ SV165 @ SV240 ) @ ( cons @ SV262 @ SV288 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1780]) ).
thf(1796,plain,
! [SV242: $i,SV167: $i,SV311: $i,SV321: $i] :
( ( ( ssItem @ SV321 )
= $false )
| ( ( ~ ( ssItem @ SV311 )
| ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) ) )
= $true )
| ( ( ssList @ SV167 )
= $false )
| ( ( ssList @ SV242 )
= $false )
| ( ( SV311 = SV321 )
= $false )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(1797,plain,
! [SV289: $i,SV263: $i,SV168: $i,SV312: $i,SV243: $i] :
( ( ( ~ ( ssItem @ SV243 ) )
= $true )
| ( ( ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true )
| ( ( ssList @ SV168 )
= $false )
| ( ( ssList @ SV263 )
= $false )
| ( ( ssList @ SV289 )
= $false )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1782]) ).
thf(1798,plain,
! [SV290: $i,SV169: $i,SV264: $i,SV313: $i,SV244: $i] :
( ( ( ~ ( ssItem @ SV244 ) )
= $true )
| ( ( ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true )
| ( ( ssItem @ SV264 )
= $false )
| ( ( ssList @ SV169 )
= $false )
| ( ( ssList @ SV290 )
= $false )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1783]) ).
thf(1799,plain,
! [SV314: $i,SV265: $i,SV322: $i,SV245: $i,SV291: $i,SV170: $i] :
( ( ( ssList @ SV170 )
= $false )
| ( ( ~ ( ssItem @ SV291 )
| ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ssList @ SV265 )
= $false )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1784]) ).
thf(1800,plain,
! [SV315: $i,SV266: $i,SV323: $i,SV246: $i,SV292: $i,SV171: $i] :
( ( ( ssList @ SV171 )
= $false )
| ( ( ~ ( ssItem @ SV292 )
| ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ssList @ SV266 )
= $false )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1785]) ).
thf(1801,plain,
! [SV316: $i,SV267: $i,SV324: $i,SV247: $i,SV293: $i,SV172: $i] :
( ( ( ssList @ SV172 )
= $false )
| ( ( ~ ( ssItem @ SV293 )
| ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(1802,plain,
! [SV317: $i,SV268: $i,SV325: $i,SV248: $i,SV294: $i,SV173: $i] :
( ( ( ssList @ SV173 )
= $false )
| ( ( ~ ( ssItem @ SV294 )
| ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1787]) ).
thf(1803,plain,
! [SV332: $i,SV174: $i,SV249: $i,SV269: $i,SV295: $i,SV331: $i] :
( ( ( ssList @ SV331 )
= $false )
| ( ( ~ ( ssList @ SV295 )
| ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1804,plain,
! [SV242: $i,SV321: $i,SV167: $i,SV311: $i] :
( ( ( ~ ( ssItem @ SV311 ) )
= $true )
| ( ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) )
= $true )
| ( ( ssItem @ SV321 )
= $false )
| ( ( ssList @ SV167 )
= $false )
| ( ( ssList @ SV242 )
= $false )
| ( ( SV311 = SV321 )
= $false )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1796]) ).
thf(1805,plain,
! [SV289: $i,SV263: $i,SV168: $i,SV312: $i,SV243: $i] :
( ( ( ssItem @ SV243 )
= $false )
| ( ( ~ ( duplicatefreeP @ SV312 )
| ~ ( ssList @ SV312 ) )
= $true )
| ( ( ssList @ SV168 )
= $false )
| ( ( ssList @ SV263 )
= $false )
| ( ( ssList @ SV289 )
= $false )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1797]) ).
thf(1806,plain,
! [SV290: $i,SV169: $i,SV264: $i,SV313: $i,SV244: $i] :
( ( ( ssItem @ SV244 )
= $false )
| ( ( ~ ( equalelemsP @ SV313 )
| ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true )
| ( ( ssItem @ SV264 )
= $false )
| ( ( ssList @ SV169 )
= $false )
| ( ( ssList @ SV290 )
= $false )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1798]) ).
thf(1807,plain,
! [SV314: $i,SV265: $i,SV170: $i,SV322: $i,SV245: $i,SV291: $i] :
( ( ( ~ ( ssItem @ SV291 ) )
= $true )
| ( ( ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ssList @ SV170 )
= $false )
| ( ( ssList @ SV265 )
= $false )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1799]) ).
thf(1808,plain,
! [SV315: $i,SV266: $i,SV171: $i,SV323: $i,SV246: $i,SV292: $i] :
( ( ( ~ ( ssItem @ SV292 ) )
= $true )
| ( ( ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ssList @ SV171 )
= $false )
| ( ( ssList @ SV266 )
= $false )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1800]) ).
thf(1809,plain,
! [SV316: $i,SV267: $i,SV172: $i,SV324: $i,SV247: $i,SV293: $i] :
( ( ( ~ ( ssItem @ SV293 ) )
= $true )
| ( ( ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ssList @ SV172 )
= $false )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1801]) ).
thf(1810,plain,
! [SV317: $i,SV268: $i,SV173: $i,SV325: $i,SV248: $i,SV294: $i] :
( ( ( ~ ( ssItem @ SV294 ) )
= $true )
| ( ( ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ssList @ SV173 )
= $false )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1802]) ).
thf(1811,plain,
! [SV331: $i,SV332: $i,SV174: $i,SV249: $i,SV269: $i,SV295: $i] :
( ( ( ~ ( ssList @ SV295 ) )
= $true )
| ( ( ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1803]) ).
thf(1812,plain,
! [SV242: $i,SV321: $i,SV167: $i,SV311: $i] :
( ( ( ssItem @ SV311 )
= $false )
| ( ( frontsegP @ ( cons @ SV311 @ SV167 ) @ ( cons @ SV321 @ SV242 ) )
= $true )
| ( ( ssItem @ SV321 )
= $false )
| ( ( ssList @ SV167 )
= $false )
| ( ( ssList @ SV242 )
= $false )
| ( ( SV311 = SV321 )
= $false )
| ( ( frontsegP @ SV167 @ SV242 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1804]) ).
thf(1813,plain,
! [SV289: $i,SV263: $i,SV168: $i,SV243: $i,SV312: $i] :
( ( ( ~ ( duplicatefreeP @ SV312 ) )
= $true )
| ( ( ~ ( ssList @ SV312 ) )
= $true )
| ( ( ssItem @ SV243 )
= $false )
| ( ( ssList @ SV168 )
= $false )
| ( ( ssList @ SV263 )
= $false )
| ( ( ssList @ SV289 )
= $false )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1805]) ).
thf(1814,plain,
! [SV290: $i,SV169: $i,SV264: $i,SV244: $i,SV313: $i] :
( ( ( ~ ( equalelemsP @ SV313 ) )
= $true )
| ( ( ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true )
| ( ( ssItem @ SV244 )
= $false )
| ( ( ssItem @ SV264 )
= $false )
| ( ( ssList @ SV169 )
= $false )
| ( ( ssList @ SV290 )
= $false )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1806]) ).
thf(1815,plain,
! [SV314: $i,SV265: $i,SV170: $i,SV322: $i,SV245: $i,SV291: $i] :
( ( ( ssItem @ SV291 )
= $false )
| ( ( ~ ( ssItem @ SV245 )
| ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ssList @ SV170 )
= $false )
| ( ( ssList @ SV265 )
= $false )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(1816,plain,
! [SV315: $i,SV266: $i,SV171: $i,SV323: $i,SV246: $i,SV292: $i] :
( ( ( ssItem @ SV292 )
= $false )
| ( ( ~ ( ssItem @ SV246 )
| ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ssList @ SV171 )
= $false )
| ( ( ssList @ SV266 )
= $false )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1808]) ).
thf(1817,plain,
! [SV316: $i,SV267: $i,SV172: $i,SV324: $i,SV247: $i,SV293: $i] :
( ( ( ssItem @ SV293 )
= $false )
| ( ( ~ ( ssItem @ SV247 )
| ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ssList @ SV172 )
= $false )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1809]) ).
thf(1818,plain,
! [SV317: $i,SV268: $i,SV173: $i,SV325: $i,SV248: $i,SV294: $i] :
( ( ( ssItem @ SV294 )
= $false )
| ( ( ~ ( ssItem @ SV248 )
| ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ssList @ SV173 )
= $false )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1819,plain,
! [SV331: $i,SV332: $i,SV174: $i,SV249: $i,SV269: $i,SV295: $i] :
( ( ( ssList @ SV295 )
= $false )
| ( ( ~ ( ssList @ SV269 )
| ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1811]) ).
thf(1820,plain,
! [SV289: $i,SV263: $i,SV168: $i,SV243: $i,SV312: $i] :
( ( ( duplicatefreeP @ SV312 )
= $false )
| ( ( ~ ( ssList @ SV312 ) )
= $true )
| ( ( ssItem @ SV243 )
= $false )
| ( ( ssList @ SV168 )
= $false )
| ( ( ssList @ SV263 )
= $false )
| ( ( ssList @ SV289 )
= $false )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1813]) ).
thf(1821,plain,
! [SV290: $i,SV169: $i,SV264: $i,SV244: $i,SV313: $i] :
( ( ( equalelemsP @ SV313 )
= $false )
| ( ( ~ ( ssList @ SV313 )
| ( SV244 = SV264 ) )
= $true )
| ( ( ssItem @ SV244 )
= $false )
| ( ( ssItem @ SV264 )
= $false )
| ( ( ssList @ SV169 )
= $false )
| ( ( ssList @ SV290 )
= $false )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1814]) ).
thf(1822,plain,
! [SV314: $i,SV265: $i,SV170: $i,SV291: $i,SV322: $i,SV245: $i] :
( ( ( ~ ( ssItem @ SV245 ) )
= $true )
| ( ( ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ssItem @ SV291 )
= $false )
| ( ( ssList @ SV170 )
= $false )
| ( ( ssList @ SV265 )
= $false )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1815]) ).
thf(1823,plain,
! [SV315: $i,SV266: $i,SV171: $i,SV292: $i,SV323: $i,SV246: $i] :
( ( ( ~ ( ssItem @ SV246 ) )
= $true )
| ( ( ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ssItem @ SV292 )
= $false )
| ( ( ssList @ SV171 )
= $false )
| ( ( ssList @ SV266 )
= $false )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1816]) ).
thf(1824,plain,
! [SV316: $i,SV267: $i,SV172: $i,SV293: $i,SV324: $i,SV247: $i] :
( ( ( ~ ( ssItem @ SV247 ) )
= $true )
| ( ( ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ssItem @ SV293 )
= $false )
| ( ( ssList @ SV172 )
= $false )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1817]) ).
thf(1825,plain,
! [SV317: $i,SV268: $i,SV173: $i,SV294: $i,SV325: $i,SV248: $i] :
( ( ( ~ ( ssItem @ SV248 ) )
= $true )
| ( ( ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ssItem @ SV294 )
= $false )
| ( ( ssList @ SV173 )
= $false )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1818]) ).
thf(1826,plain,
! [SV331: $i,SV295: $i,SV332: $i,SV174: $i,SV249: $i,SV269: $i] :
( ( ( ~ ( ssList @ SV269 ) )
= $true )
| ( ( ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( ssList @ SV295 )
= $false )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1819]) ).
thf(1827,plain,
! [SV289: $i,SV263: $i,SV168: $i,SV243: $i,SV312: $i] :
( ( ( ssList @ SV312 )
= $false )
| ( ( duplicatefreeP @ SV312 )
= $false )
| ( ( ssItem @ SV243 )
= $false )
| ( ( ssList @ SV168 )
= $false )
| ( ( ssList @ SV263 )
= $false )
| ( ( ssList @ SV289 )
= $false )
| ( ( ( app @ ( app @ SV168 @ ( cons @ SV243 @ SV263 ) ) @ ( cons @ SV243 @ SV289 ) )
= SV312 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1828,plain,
! [SV290: $i,SV169: $i,SV264: $i,SV244: $i,SV313: $i] :
( ( ( ~ ( ssList @ SV313 ) )
= $true )
| ( ( SV244 = SV264 )
= $true )
| ( ( equalelemsP @ SV313 )
= $false )
| ( ( ssItem @ SV244 )
= $false )
| ( ( ssItem @ SV264 )
= $false )
| ( ( ssList @ SV169 )
= $false )
| ( ( ssList @ SV290 )
= $false )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1821]) ).
thf(1829,plain,
! [SV314: $i,SV265: $i,SV170: $i,SV291: $i,SV322: $i,SV245: $i] :
( ( ( ssItem @ SV245 )
= $false )
| ( ( ~ ( strictorderedP @ SV322 )
| ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ssItem @ SV291 )
= $false )
| ( ( ssList @ SV170 )
= $false )
| ( ( ssList @ SV265 )
= $false )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1822]) ).
thf(1830,plain,
! [SV315: $i,SV266: $i,SV171: $i,SV292: $i,SV323: $i,SV246: $i] :
( ( ( ssItem @ SV246 )
= $false )
| ( ( ~ ( totalorderedP @ SV323 )
| ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ssItem @ SV292 )
= $false )
| ( ( ssList @ SV171 )
= $false )
| ( ( ssList @ SV266 )
= $false )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1831,plain,
! [SV316: $i,SV267: $i,SV172: $i,SV293: $i,SV324: $i,SV247: $i] :
( ( ( ssItem @ SV247 )
= $false )
| ( ( ~ ( strictorderP @ SV324 )
| ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ssItem @ SV293 )
= $false )
| ( ( ssList @ SV172 )
= $false )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1832,plain,
! [SV317: $i,SV268: $i,SV173: $i,SV294: $i,SV325: $i,SV248: $i] :
( ( ( ssItem @ SV248 )
= $false )
| ( ( ~ ( totalorderP @ SV325 )
| ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ssItem @ SV294 )
= $false )
| ( ( ssList @ SV173 )
= $false )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1825]) ).
thf(1833,plain,
! [SV331: $i,SV295: $i,SV332: $i,SV174: $i,SV249: $i,SV269: $i] :
( ( ( ssList @ SV269 )
= $false )
| ( ( ~ ( ssItem @ SV249 )
| ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( ssList @ SV295 )
= $false )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(1834,plain,
! [SV290: $i,SV169: $i,SV264: $i,SV244: $i,SV313: $i] :
( ( ( ssList @ SV313 )
= $false )
| ( ( SV244 = SV264 )
= $true )
| ( ( equalelemsP @ SV313 )
= $false )
| ( ( ssItem @ SV244 )
= $false )
| ( ( ssItem @ SV264 )
= $false )
| ( ( ssList @ SV169 )
= $false )
| ( ( ssList @ SV290 )
= $false )
| ( ( ( app @ SV169 @ ( cons @ SV244 @ ( cons @ SV264 @ SV290 ) ) )
= SV313 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1828]) ).
thf(1835,plain,
! [SV314: $i,SV265: $i,SV170: $i,SV291: $i,SV245: $i,SV322: $i] :
( ( ( ~ ( strictorderedP @ SV322 ) )
= $true )
| ( ( ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ssItem @ SV245 )
= $false )
| ( ( ssItem @ SV291 )
= $false )
| ( ( ssList @ SV170 )
= $false )
| ( ( ssList @ SV265 )
= $false )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1829]) ).
thf(1836,plain,
! [SV315: $i,SV266: $i,SV171: $i,SV292: $i,SV246: $i,SV323: $i] :
( ( ( ~ ( totalorderedP @ SV323 ) )
= $true )
| ( ( ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ssItem @ SV246 )
= $false )
| ( ( ssItem @ SV292 )
= $false )
| ( ( ssList @ SV171 )
= $false )
| ( ( ssList @ SV266 )
= $false )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1830]) ).
thf(1837,plain,
! [SV316: $i,SV267: $i,SV172: $i,SV293: $i,SV247: $i,SV324: $i] :
( ( ( ~ ( strictorderP @ SV324 ) )
= $true )
| ( ( ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ssItem @ SV247 )
= $false )
| ( ( ssItem @ SV293 )
= $false )
| ( ( ssList @ SV172 )
= $false )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1831]) ).
thf(1838,plain,
! [SV317: $i,SV268: $i,SV173: $i,SV294: $i,SV248: $i,SV325: $i] :
( ( ( ~ ( totalorderP @ SV325 ) )
= $true )
| ( ( ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ssItem @ SV248 )
= $false )
| ( ( ssItem @ SV294 )
= $false )
| ( ( ssList @ SV173 )
= $false )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1832]) ).
thf(1839,plain,
! [SV331: $i,SV295: $i,SV269: $i,SV332: $i,SV174: $i,SV249: $i] :
( ( ( ~ ( ssItem @ SV249 ) )
= $true )
| ( ( ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( ssList @ SV269 )
= $false )
| ( ( ssList @ SV295 )
= $false )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1833]) ).
thf(1840,plain,
! [SV314: $i,SV265: $i,SV170: $i,SV291: $i,SV245: $i,SV322: $i] :
( ( ( strictorderedP @ SV322 )
= $false )
| ( ( ~ ( ssList @ SV322 )
| ( lt @ SV245 @ SV291 ) )
= $true )
| ( ( ssItem @ SV245 )
= $false )
| ( ( ssItem @ SV291 )
= $false )
| ( ( ssList @ SV170 )
= $false )
| ( ( ssList @ SV265 )
= $false )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1835]) ).
thf(1841,plain,
! [SV315: $i,SV266: $i,SV171: $i,SV292: $i,SV246: $i,SV323: $i] :
( ( ( totalorderedP @ SV323 )
= $false )
| ( ( ~ ( ssList @ SV323 )
| ( leq @ SV246 @ SV292 ) )
= $true )
| ( ( ssItem @ SV246 )
= $false )
| ( ( ssItem @ SV292 )
= $false )
| ( ( ssList @ SV171 )
= $false )
| ( ( ssList @ SV266 )
= $false )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1836]) ).
thf(1842,plain,
! [SV316: $i,SV267: $i,SV172: $i,SV293: $i,SV247: $i,SV324: $i] :
( ( ( strictorderP @ SV324 )
= $false )
| ( ( ~ ( ssList @ SV324 )
| ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( ssItem @ SV247 )
= $false )
| ( ( ssItem @ SV293 )
= $false )
| ( ( ssList @ SV172 )
= $false )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1843,plain,
! [SV317: $i,SV268: $i,SV173: $i,SV294: $i,SV248: $i,SV325: $i] :
( ( ( totalorderP @ SV325 )
= $false )
| ( ( ~ ( ssList @ SV325 )
| ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( ssItem @ SV248 )
= $false )
| ( ( ssItem @ SV294 )
= $false )
| ( ( ssList @ SV173 )
= $false )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(1844,plain,
! [SV331: $i,SV295: $i,SV269: $i,SV332: $i,SV174: $i,SV249: $i] :
( ( ( ssItem @ SV249 )
= $false )
| ( ( ~ ( ssItem @ SV174 )
| ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( ssList @ SV269 )
= $false )
| ( ( ssList @ SV295 )
= $false )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1845,plain,
! [SV314: $i,SV265: $i,SV170: $i,SV291: $i,SV245: $i,SV322: $i] :
( ( ( ~ ( ssList @ SV322 ) )
= $true )
| ( ( lt @ SV245 @ SV291 )
= $true )
| ( ( strictorderedP @ SV322 )
= $false )
| ( ( ssItem @ SV245 )
= $false )
| ( ( ssItem @ SV291 )
= $false )
| ( ( ssList @ SV170 )
= $false )
| ( ( ssList @ SV265 )
= $false )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1840]) ).
thf(1846,plain,
! [SV315: $i,SV266: $i,SV171: $i,SV292: $i,SV246: $i,SV323: $i] :
( ( ( ~ ( ssList @ SV323 ) )
= $true )
| ( ( leq @ SV246 @ SV292 )
= $true )
| ( ( totalorderedP @ SV323 )
= $false )
| ( ( ssItem @ SV246 )
= $false )
| ( ( ssItem @ SV292 )
= $false )
| ( ( ssList @ SV171 )
= $false )
| ( ( ssList @ SV266 )
= $false )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1841]) ).
thf(1847,plain,
! [SV316: $i,SV267: $i,SV172: $i,SV293: $i,SV247: $i,SV324: $i] :
( ( ( ~ ( ssList @ SV324 ) )
= $true )
| ( ( ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( strictorderP @ SV324 )
= $false )
| ( ( ssItem @ SV247 )
= $false )
| ( ( ssItem @ SV293 )
= $false )
| ( ( ssList @ SV172 )
= $false )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1842]) ).
thf(1848,plain,
! [SV317: $i,SV268: $i,SV173: $i,SV294: $i,SV248: $i,SV325: $i] :
( ( ( ~ ( ssList @ SV325 ) )
= $true )
| ( ( ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( totalorderP @ SV325 )
= $false )
| ( ( ssItem @ SV248 )
= $false )
| ( ( ssItem @ SV294 )
= $false )
| ( ( ssList @ SV173 )
= $false )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1843]) ).
thf(1849,plain,
! [SV331: $i,SV295: $i,SV269: $i,SV249: $i,SV332: $i,SV174: $i] :
( ( ( ~ ( ssItem @ SV174 ) )
= $true )
| ( ( ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( ssItem @ SV249 )
= $false )
| ( ( ssList @ SV269 )
= $false )
| ( ( ssList @ SV295 )
= $false )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1844]) ).
thf(1850,plain,
! [SV314: $i,SV265: $i,SV170: $i,SV291: $i,SV245: $i,SV322: $i] :
( ( ( ssList @ SV322 )
= $false )
| ( ( lt @ SV245 @ SV291 )
= $true )
| ( ( strictorderedP @ SV322 )
= $false )
| ( ( ssItem @ SV245 )
= $false )
| ( ( ssItem @ SV291 )
= $false )
| ( ( ssList @ SV170 )
= $false )
| ( ( ssList @ SV265 )
= $false )
| ( ( ssList @ SV314 )
= $false )
| ( ( ( app @ ( app @ SV170 @ ( cons @ SV245 @ SV265 ) ) @ ( cons @ SV291 @ SV314 ) )
= SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1851,plain,
! [SV315: $i,SV266: $i,SV171: $i,SV292: $i,SV246: $i,SV323: $i] :
( ( ( ssList @ SV323 )
= $false )
| ( ( leq @ SV246 @ SV292 )
= $true )
| ( ( totalorderedP @ SV323 )
= $false )
| ( ( ssItem @ SV246 )
= $false )
| ( ( ssItem @ SV292 )
= $false )
| ( ( ssList @ SV171 )
= $false )
| ( ( ssList @ SV266 )
= $false )
| ( ( ssList @ SV315 )
= $false )
| ( ( ( app @ ( app @ SV171 @ ( cons @ SV246 @ SV266 ) ) @ ( cons @ SV292 @ SV315 ) )
= SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1846]) ).
thf(1852,plain,
! [SV316: $i,SV267: $i,SV172: $i,SV293: $i,SV247: $i,SV324: $i] :
( ( ( ssList @ SV324 )
= $false )
| ( ( ( lt @ SV247 @ SV293 )
| ( lt @ SV293 @ SV247 ) )
= $true )
| ( ( strictorderP @ SV324 )
= $false )
| ( ( ssItem @ SV247 )
= $false )
| ( ( ssItem @ SV293 )
= $false )
| ( ( ssList @ SV172 )
= $false )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(1853,plain,
! [SV317: $i,SV268: $i,SV173: $i,SV294: $i,SV248: $i,SV325: $i] :
( ( ( ssList @ SV325 )
= $false )
| ( ( ( leq @ SV248 @ SV294 )
| ( leq @ SV294 @ SV248 ) )
= $true )
| ( ( totalorderP @ SV325 )
= $false )
| ( ( ssItem @ SV248 )
= $false )
| ( ( ssItem @ SV294 )
= $false )
| ( ( ssList @ SV173 )
= $false )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(1854,plain,
! [SV331: $i,SV295: $i,SV269: $i,SV249: $i,SV332: $i,SV174: $i] :
( ( ( ssItem @ SV174 )
= $false )
| ( ( ~ ( cyclefreeP @ SV332 )
| ~ ( ssList @ SV332 ) )
= $true )
| ( ( ssItem @ SV249 )
= $false )
| ( ( ssList @ SV269 )
= $false )
| ( ( ssList @ SV295 )
= $false )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1855,plain,
! [SV316: $i,SV267: $i,SV172: $i,SV324: $i,SV293: $i,SV247: $i] :
( ( ( lt @ SV247 @ SV293 )
= $true )
| ( ( lt @ SV293 @ SV247 )
= $true )
| ( ( ssList @ SV324 )
= $false )
| ( ( strictorderP @ SV324 )
= $false )
| ( ( ssItem @ SV247 )
= $false )
| ( ( ssItem @ SV293 )
= $false )
| ( ( ssList @ SV172 )
= $false )
| ( ( ssList @ SV267 )
= $false )
| ( ( ssList @ SV316 )
= $false )
| ( ( ( app @ ( app @ SV172 @ ( cons @ SV247 @ SV267 ) ) @ ( cons @ SV293 @ SV316 ) )
= SV324 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1852]) ).
thf(1856,plain,
! [SV317: $i,SV268: $i,SV173: $i,SV325: $i,SV294: $i,SV248: $i] :
( ( ( leq @ SV248 @ SV294 )
= $true )
| ( ( leq @ SV294 @ SV248 )
= $true )
| ( ( ssList @ SV325 )
= $false )
| ( ( totalorderP @ SV325 )
= $false )
| ( ( ssItem @ SV248 )
= $false )
| ( ( ssItem @ SV294 )
= $false )
| ( ( ssList @ SV173 )
= $false )
| ( ( ssList @ SV268 )
= $false )
| ( ( ssList @ SV317 )
= $false )
| ( ( ( app @ ( app @ SV173 @ ( cons @ SV248 @ SV268 ) ) @ ( cons @ SV294 @ SV317 ) )
= SV325 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1853]) ).
thf(1857,plain,
! [SV331: $i,SV295: $i,SV269: $i,SV249: $i,SV174: $i,SV332: $i] :
( ( ( ~ ( cyclefreeP @ SV332 ) )
= $true )
| ( ( ~ ( ssList @ SV332 ) )
= $true )
| ( ( ssItem @ SV174 )
= $false )
| ( ( ssItem @ SV249 )
= $false )
| ( ( ssList @ SV269 )
= $false )
| ( ( ssList @ SV295 )
= $false )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1854]) ).
thf(1858,plain,
! [SV331: $i,SV295: $i,SV269: $i,SV249: $i,SV174: $i,SV332: $i] :
( ( ( cyclefreeP @ SV332 )
= $false )
| ( ( ~ ( ssList @ SV332 ) )
= $true )
| ( ( ssItem @ SV174 )
= $false )
| ( ( ssItem @ SV249 )
= $false )
| ( ( ssList @ SV269 )
= $false )
| ( ( ssList @ SV295 )
= $false )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1859,plain,
! [SV331: $i,SV295: $i,SV269: $i,SV249: $i,SV174: $i,SV332: $i] :
( ( ( ssList @ SV332 )
= $false )
| ( ( cyclefreeP @ SV332 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( ssItem @ SV249 )
= $false )
| ( ( ssList @ SV269 )
= $false )
| ( ( ssList @ SV295 )
= $false )
| ( ( ssList @ SV331 )
= $false )
| ( ( ( app @ ( app @ SV269 @ ( cons @ SV174 @ SV295 ) ) @ ( cons @ SV249 @ SV331 ) )
= SV332 )
= $false )
| ( ( leq @ SV249 @ SV174 )
= $false )
| ( ( leq @ SV174 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(1860,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[484,1859,1856,1855,1851,1850,1834,1827,1812,1795,1794,1793,1792,1791,1790,1789,1773,1772,1771,1770,1769,1768,1767,1766,1757,1749,1748,1722,1721,1714,1713,1709,1708,1707,1706,1705,1704,1703,1702,1701,1670,1661,1660,1659,1658,1657,1655,1634,1626,1613,1612,1606,1605,1604,1603,1602,1601,1600,1599,1598,1579,1578,1550,1549,1539,1538,1536,1533,1532,1529,1528,1527,1526,1525,1522,1476,1466,1448,1447,1446,1445,1383,1363,1362,1361,1360,1281,1275,1274,1273,1272,1271,1270,1269,1266,1265,1264,1263,1262,1261,1260,1238,1237,1236,1235,1234,1233,1213,1180,1175,1159,1158,1149,1148,1147,1146,1144,1143,1028,1027,1024,1023,1022,1021,1020,1019,1018,1016,1015,1014,1013,1012,1011,1010,1009,874,873,872,871,870,869,867,865,863,731,724,723,722,721,720,719,718,717,716,715,714,713,712,711,710,709,708,707,706,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,684,505,504,503,502,501,500,499,498,497,496,489,488,487,486,485]) ).
thf(1861,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC313-1 : TPTP v9.3.1. Released v2.4.0.
% 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
% 0.06/0.19 % Computer : n014.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Tue Oct 6 16:07:56 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.33/4.07 .
% 18.33/4.07
% 18.33/4.07 No.of.Axioms: 197
% 18.33/4.07
% 18.33/4.07 Length.of.Defs: 0
% 18.33/4.07
% 18.33/4.07 Contains.Choice.Funs: false
% 18.33/4.07 ......................................................
% 18.33/4.07
% 18.33/4.07 ********************************
% 18.33/4.07 * All subproblems solved! *
% 18.33/4.07 ********************************
% 18.33/4.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:197,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:1860,loop_count:0,foatp_calls:1,translation:fof_full)
% 18.33/4.07
% 18.33/4.07 %**** Beginning of derivation protocol ****
% 18.33/4.07 % SZS output start CNFRefutation
% See solution above
% 18.33/4.08
% 18.33/4.08 %**** End of derivation protocol ****
% 18.33/4.08 %**** no. of clauses in derivation: 1861 ****
% 18.33/4.08 %**** clause counter: 1860 ****
% 18.33/4.08
% 18.33/4.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:197,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:1860,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------