TSTP Solution File: SWC120+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWC120+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 21:13:16 EDT 2022
% Result : Theorem 104.64s 104.98s
% Output : CNFRefutation 105.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 171
% Syntax : Number of formulae : 1926 ( 445 unt; 75 typ; 0 def)
% Number of atoms : 21211 (7110 equ; 0 cnn)
% Maximal formula atoms : 17 ( 11 avg)
% Number of connectives : 38500 (8610 ~;8822 |; 283 &;20514 @)
% ( 26 <=>; 245 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 85 >; 0 *; 0 +; 0 <<)
% Number of symbols : 78 ( 75 usr; 9 con; 0-2 aty)
% Number of variables : 4766 ( 0 ^4743 !; 23 ?;4766 :)
% 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_sK10_SY570,type,
sK10_SY570: $i > $i ).
thf(tp_sK11_SY573,type,
sK11_SY573: $i > $i ).
thf(tp_sK12_SY575,type,
sK12_SY575: $i > $i ).
thf(tp_sK13_V,type,
sK13_V: $i > $i ).
thf(tp_sK14_SY576,type,
sK14_SY576: $i > $i ).
thf(tp_sK15_SY580,type,
sK15_SY580: $i > $i ).
thf(tp_sK16_SY583,type,
sK16_SY583: $i > $i ).
thf(tp_sK17_SY585,type,
sK17_SY585: $i > $i ).
thf(tp_sK18_V,type,
sK18_V: $i > $i ).
thf(tp_sK19_SY586,type,
sK19_SY586: $i > $i ).
thf(tp_sK1_U,type,
sK1_U: $i ).
thf(tp_sK20_SY590,type,
sK20_SY590: $i > $i ).
thf(tp_sK21_SY593,type,
sK21_SY593: $i > $i ).
thf(tp_sK22_SY595,type,
sK22_SY595: $i > $i ).
thf(tp_sK23_V,type,
sK23_V: $i > $i ).
thf(tp_sK24_SY596,type,
sK24_SY596: $i > $i ).
thf(tp_sK25_SY600,type,
sK25_SY600: $i > $i ).
thf(tp_sK26_SY603,type,
sK26_SY603: $i > $i ).
thf(tp_sK27_SY605,type,
sK27_SY605: $i > $i ).
thf(tp_sK28_V,type,
sK28_V: $i > $i ).
thf(tp_sK29_SY606,type,
sK29_SY606: $i > $i ).
thf(tp_sK2_SY549,type,
sK2_SY549: $i ).
thf(tp_sK30_SY610,type,
sK30_SY610: $i > $i ).
thf(tp_sK31_SY613,type,
sK31_SY613: $i > $i ).
thf(tp_sK32_SY615,type,
sK32_SY615: $i > $i ).
thf(tp_sK33_V,type,
sK33_V: $i > $i ).
thf(tp_sK34_SY616,type,
sK34_SY616: $i > $i ).
thf(tp_sK35_SY620,type,
sK35_SY620: $i > $i ).
thf(tp_sK36_SY623,type,
sK36_SY623: $i > $i ).
thf(tp_sK37_SY625,type,
sK37_SY625: $i > $i ).
thf(tp_sK38_V,type,
sK38_V: $i > $i ).
thf(tp_sK39_SY626,type,
sK39_SY626: $i > $i ).
thf(tp_sK3_SY554,type,
sK3_SY554: $i ).
thf(tp_sK40_SY630,type,
sK40_SY630: $i > $i ).
thf(tp_sK41_SY633,type,
sK41_SY633: $i > $i ).
thf(tp_sK42_SY635,type,
sK42_SY635: $i > $i ).
thf(tp_sK43_W,type,
sK43_W: $i > $i > $i ).
thf(tp_sK44_SY636,type,
sK44_SY636: $i > $i > $i ).
thf(tp_sK45_W,type,
sK45_W: $i > $i > $i ).
thf(tp_sK46_W,type,
sK46_W: $i > $i > $i ).
thf(tp_sK47_V,type,
sK47_V: $i > $i ).
thf(tp_sK48_W,type,
sK48_W: $i > $i > $i ).
thf(tp_sK49_SY637,type,
sK49_SY637: $i > $i > $i ).
thf(tp_sK4_SY560,type,
sK4_SY560: $i ).
thf(tp_sK50_U,type,
sK50_U: $i ).
thf(tp_sK51_SY638,type,
sK51_SY638: $i ).
thf(tp_sK5_V,type,
sK5_V: $i > $i ).
thf(tp_sK6_V,type,
sK6_V: $i > $i ).
thf(tp_sK7_V,type,
sK7_V: $i > $i ).
thf(tp_sK8_SY569,type,
sK8_SY569: $i > $i ).
thf(tp_sK9_V,type,
sK9_V: $i > $i ).
thf(tp_segmentP,type,
segmentP: $i > $i > $o ).
thf(tp_singletonP,type,
singletonP: $i > $o ).
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] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( ( gt @ U @ V )
& ( gt @ V @ W ) )
=> ( gt @ U @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
thf(2,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( gt @ U @ V )
=> ~ ( gt @ V @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
thf(3,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( lt @ U @ V )
<=> ( ( U != V )
& ( leq @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
thf(4,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( leq @ U @ V )
=> ( ( U = V )
| ( lt @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
thf(5,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( ( leq @ U @ V )
& ( lt @ V @ W ) )
=> ( lt @ U @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
thf(6,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( lt @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
thf(7,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( geq @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
thf(8,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( ( geq @ U @ V )
& ( geq @ V @ W ) )
=> ( geq @ U @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
thf(9,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( ( geq @ U @ V )
& ( geq @ V @ U ) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
thf(10,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil != U )
=> ( ( tl @ ( app @ U @ V ) )
= ( app @ ( tl @ U ) @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
thf(11,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil != U )
=> ( ( hd @ ( app @ U @ V ) )
= ( hd @ U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
thf(12,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ U @ nil )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
thf(13,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( nil
= ( app @ U @ V ) )
<=> ( ( nil = V )
& ( nil = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
thf(14,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( app @ ( app @ U @ V ) @ W )
= ( app @ U @ ( app @ V @ W ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
thf(15,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
thf(16,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( app @ V @ W )
= ( app @ V @ U ) )
=> ( W = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
thf(17,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( app @ W @ V )
= ( app @ U @ V ) )
=> ( W = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
thf(18,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
thf(19,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( nil != V )
& ( nil != U )
& ( ( hd @ V )
= ( hd @ U ) )
& ( ( tl @ V )
= ( tl @ U ) ) )
=> ( V = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
thf(20,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ? [V: $i] :
( ( ssList @ V )
& ( ( tl @ U )
= V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
thf(21,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ? [V: $i] :
( ( ssItem @ V )
& ( ( hd @ U )
= V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
thf(22,axiom,
equalelemsP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
thf(23,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( equalelemsP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
thf(24,axiom,
duplicatefreeP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
thf(25,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( duplicatefreeP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
thf(26,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( strictorderedP @ ( cons @ U @ V ) )
<=> ( ( nil = V )
| ( ( nil != V )
& ( strictorderedP @ V )
& ( lt @ U @ ( hd @ V ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
thf(27,axiom,
strictorderedP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
thf(28,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( strictorderedP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
thf(29,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( totalorderedP @ ( cons @ U @ V ) )
<=> ( ( nil = V )
| ( ( nil != V )
& ( totalorderedP @ V )
& ( leq @ U @ ( hd @ V ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
thf(30,axiom,
totalorderedP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
thf(31,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( totalorderedP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
thf(32,axiom,
strictorderP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
thf(33,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( strictorderP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
thf(34,axiom,
totalorderP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
thf(35,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( totalorderP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
thf(36,axiom,
cyclefreeP @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
thf(37,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( cyclefreeP @ ( cons @ U @ nil ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
thf(38,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( segmentP @ nil @ U )
<=> ( nil = U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
thf(39,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
thf(40,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( segmentP @ U @ V )
=> ( segmentP @ ( app @ ( app @ W @ U ) @ X ) @ V ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
thf(41,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
thf(42,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ U ) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
thf(43,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ W ) )
=> ( segmentP @ U @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
thf(44,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( rearsegP @ nil @ U )
<=> ( nil = U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
thf(45,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( rearsegP @ U @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
thf(46,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( rearsegP @ U @ V )
=> ( rearsegP @ ( app @ W @ U ) @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
thf(47,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( rearsegP @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
thf(48,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( rearsegP @ U @ V )
& ( rearsegP @ V @ U ) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
thf(49,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( rearsegP @ U @ V )
& ( rearsegP @ V @ W ) )
=> ( rearsegP @ U @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
thf(50,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( frontsegP @ nil @ U )
<=> ( nil = U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
thf(51,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( frontsegP @ U @ nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
thf(52,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( frontsegP @ ( cons @ U @ W ) @ ( cons @ V @ X ) )
<=> ( ( U = V )
& ( frontsegP @ W @ X ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
thf(53,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( frontsegP @ U @ V )
=> ( frontsegP @ ( app @ U @ W ) @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
thf(54,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( frontsegP @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
thf(55,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( frontsegP @ U @ V )
& ( frontsegP @ V @ U ) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
thf(56,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( frontsegP @ U @ V )
& ( frontsegP @ V @ W ) )
=> ( frontsegP @ U @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
thf(57,axiom,
~ ( singletonP @ nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
thf(58,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ~ ( memberP @ nil @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
thf(59,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( cons @ V @ W ) @ U )
<=> ( ( U = V )
| ( memberP @ W @ U ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
thf(60,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( memberP @ ( app @ V @ W ) @ U )
<=> ( ( memberP @ V @ U )
| ( memberP @ W @ U ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
thf(61,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( gt @ U @ V )
<=> ( lt @ V @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
thf(62,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( ( lt @ U @ V )
& ( lt @ V @ W ) )
=> ( lt @ U @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
thf(63,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( lt @ U @ V )
=> ~ ( lt @ V @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
thf(64,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( geq @ U @ V )
<=> ( leq @ V @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
thf(65,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ( leq @ U @ U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
thf(66,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( ( leq @ U @ V )
& ( leq @ V @ W ) )
=> ( leq @ U @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
thf(67,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( ( leq @ U @ V )
& ( leq @ V @ U ) )
=> ( U = V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
thf(68,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( app @ nil @ U )
= U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
thf(69,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ( ( cons @ W @ ( app @ V @ U ) )
= ( app @ ( cons @ W @ V ) @ U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
thf(70,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
thf(71,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( tl @ ( cons @ V @ U ) )
= U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
thf(72,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssList @ ( tl @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
thf(73,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( hd @ ( cons @ V @ U ) )
= V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
thf(74,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil != U )
=> ( ssItem @ ( hd @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
thf(75,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( nil
!= ( cons @ V @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
thf(76,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( nil = U )
| ? [V: $i] :
( ( ssList @ V )
& ? [W: $i] :
( ( ssItem @ W )
& ( ( cons @ W @ V )
= U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
thf(77,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssItem @ X )
=> ( ( ( cons @ W @ U )
= ( cons @ X @ V ) )
=> ( ( W = X )
& ( V = U ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
thf(78,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( cons @ V @ U )
!= U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
thf(79,axiom,
ssList @ nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(80,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ssList @ ( cons @ V @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
thf(81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
thf(82,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( equalelemsP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ( ( ( app @ X @ ( cons @ V @ ( cons @ W @ Y ) ) )
= U )
=> ( V = W ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(83,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( duplicatefreeP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ( V != W ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(84,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( strictorderedP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ( lt @ V @ W ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
thf(85,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( totalorderedP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ( leq @ V @ W ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
thf(86,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( strictorderP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ( ( lt @ V @ W )
| ( lt @ W @ V ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
thf(87,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( totalorderP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ( ( leq @ V @ W )
| ( leq @ W @ V ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
thf(88,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( cyclefreeP @ U )
<=> ! [V: $i] :
( ( ssItem @ V )
=> ! [W: $i] :
( ( ssItem @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ! [Y: $i] :
( ( ssList @ Y )
=> ! [Z: $i] :
( ( ssList @ Z )
=> ( ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
= U )
=> ~ ( ( leq @ V @ W )
& ( leq @ W @ V ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
thf(89,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( segmentP @ U @ V )
<=> ? [W: $i] :
( ( ssList @ W )
& ? [X: $i] :
( ( ssList @ X )
& ( ( app @ ( app @ W @ V ) @ X )
= U ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(90,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( rearsegP @ U @ V )
<=> ? [W: $i] :
( ( ssList @ W )
& ( ( app @ W @ V )
= U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
thf(91,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( frontsegP @ U @ V )
<=> ? [W: $i] :
( ( ssList @ W )
& ( ( app @ V @ W )
= U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(92,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( ( singletonP @ U )
<=> ? [V: $i] :
( ( ssItem @ V )
& ( ( cons @ V @ nil )
= U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(93,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( memberP @ U @ V )
<=> ? [W: $i] :
( ( ssList @ W )
& ? [X: $i] :
( ( ssList @ X )
& ( ( app @ W @ ( cons @ V @ X ) )
= U ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(94,axiom,
? [U: $i] :
( ( ssItem @ U )
& ? [V: $i] :
( ( ssItem @ V )
& ( U != V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(95,axiom,
! [U: $i] :
( ( ssItem @ U )
=> ! [V: $i] :
( ( ssItem @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(96,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ( ssList @ Y )
& ( X != Y )
& ? [Z: $i] :
( ( ssList @ Z )
& ( ( tl @ X )
= Z )
& ( ( app @ W @ Z )
= Y )
& ( neq @ nil @ X ) ) )
| ( ( neq @ U @ nil )
& ( segmentP @ V @ U ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(97,negated_conjecture,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ( ( ~ ( neq @ V @ nil )
| ? [Y: $i] :
( ( ssList @ Y )
& ( X != Y )
& ? [Z: $i] :
( ( ssList @ Z )
& ( ( tl @ X )
= Z )
& ( ( app @ W @ Z )
= Y )
& ( neq @ nil @ X ) ) )
| ( ( neq @ U @ nil )
& ( segmentP @ V @ U ) ) )
& ( ~ ( neq @ V @ nil )
| ( neq @ X @ nil ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[96]) ).
thf(98,plain,
( ( ( ssList @ sK1_U )
=> ! [SY549: $i] :
( ( ssList @ SY549 )
=> ! [SY550: $i] :
( ( ssList @ SY550 )
=> ! [SY551: $i] :
( ( ssList @ SY551 )
=> ( ( SY549 != SY551 )
| ( sK1_U != SY550 )
| ( ( ~ ( neq @ SY549 @ nil )
| ? [Y: $i] :
( ( ssList @ Y )
& ( SY551 != Y )
& ? [Z: $i] :
( ( ssList @ Z )
& ( ( tl @ SY551 )
= Z )
& ( ( app @ SY550 @ Z )
= Y )
& ( neq @ nil @ SY551 ) ) )
| ( ( neq @ sK1_U @ nil )
& ( segmentP @ SY549 @ sK1_U ) ) )
& ( ~ ( neq @ SY549 @ nil )
| ( neq @ SY551 @ nil ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(99,plain,
( ( ssList @ sK1_U )
= $true ),
inference(standard_cnf,[status(thm)],[98]) ).
thf(100,plain,
( ( ! [SY549: $i] :
( ( ssList @ SY549 )
=> ! [SY550: $i] :
( ( ssList @ SY550 )
=> ! [SY551: $i] :
( ( ssList @ SY551 )
=> ( ( SY549 != SY551 )
| ( sK1_U != SY550 )
| ( ( ~ ( neq @ SY549 @ nil )
| ? [Y: $i] :
( ( ssList @ Y )
& ( SY551 != Y )
& ? [Z: $i] :
( ( ssList @ Z )
& ( ( tl @ SY551 )
= Z )
& ( ( app @ SY550 @ Z )
= Y )
& ( neq @ nil @ SY551 ) ) )
| ( ( neq @ sK1_U @ nil )
& ( segmentP @ SY549 @ sK1_U ) ) )
& ( ~ ( neq @ SY549 @ nil )
| ( neq @ SY551 @ nil ) ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[98]) ).
thf(101,plain,
( ( ~ ! [SY549: $i] :
( ( ssList @ SY549 )
=> ! [SY550: $i] :
( ( ssList @ SY550 )
=> ! [SY551: $i] :
( ( ssList @ SY551 )
=> ( ( SY549 != SY551 )
| ( sK1_U != SY550 )
| ( ( ~ ( neq @ SY549 @ nil )
| ? [Y: $i] :
( ( ssList @ Y )
& ( SY551 != Y )
& ? [Z: $i] :
( ( ssList @ Z )
& ( ( tl @ SY551 )
= Z )
& ( ( app @ SY550 @ Z )
= Y )
& ( neq @ nil @ SY551 ) ) )
| ( ( neq @ sK1_U @ nil )
& ( segmentP @ SY549 @ sK1_U ) ) )
& ( ~ ( neq @ SY549 @ nil )
| ( neq @ SY551 @ nil ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[100]) ).
thf(102,plain,
( ( ( ssList @ sK2_SY549 )
& ( ssList @ sK3_SY554 )
& ( ssList @ sK4_SY560 )
& ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
& ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) )
& ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
& ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) )
& ( ! [SY565: $i] :
( ( sK4_SY560 = SY565 )
| ~ ( ssList @ SY565 )
| ! [SY566: $i] :
( ( ( tl @ sK4_SY560 )
!= SY566 )
| ~ ( ssList @ SY566 )
| ( ( app @ sK3_SY554 @ SY566 )
!= SY565 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
& ( ! [SY567: $i] :
( ( sK4_SY560 = SY567 )
| ~ ( ssList @ SY567 )
| ! [SY568: $i] :
( ( ( tl @ sK4_SY560 )
!= SY568 )
| ~ ( ssList @ SY568 )
| ( ( app @ sK3_SY554 @ SY568 )
!= SY567 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) )
& ( sK2_SY549 = sK4_SY560 )
& ( sK1_U = sK3_SY554 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[101]) ).
thf(103,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( gt @ U @ V )
| ~ ( gt @ V @ W )
| ( gt @ U @ W ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(104,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( gt @ U @ V )
| ~ ( gt @ V @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[2]) ).
thf(105,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssItem @ V )
| ( U = V )
| ~ ( leq @ U @ V )
| ( lt @ U @ V ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( lt @ U @ V )
| ( U != V ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( lt @ U @ V )
| ( leq @ U @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[3]) ).
thf(106,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( leq @ U @ V )
| ( U = V )
| ( lt @ U @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(107,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( leq @ U @ V )
| ~ ( lt @ V @ W )
| ( lt @ U @ W ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(108,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ~ ( lt @ U @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(109,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( geq @ U @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(110,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( geq @ U @ V )
| ~ ( geq @ V @ W )
| ( geq @ U @ W ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(111,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( geq @ U @ V )
| ~ ( geq @ V @ U )
| ( U = V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(112,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = U )
| ( ( tl @ ( app @ U @ V ) )
= ( app @ ( tl @ U ) @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(113,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = U )
| ( ( hd @ ( app @ U @ V ) )
= ( hd @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(114,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ U @ nil )
= U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(115,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ( nil != V )
| ( nil != U )
| ( nil
= ( app @ U @ V ) ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil
!= ( app @ U @ V ) )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil
!= ( app @ U @ V ) )
| ( nil = U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(116,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ( app @ ( app @ U @ V ) @ W )
= ( app @ U @ ( app @ V @ W ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(117,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(118,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ( app @ V @ W )
!= ( app @ V @ U ) )
| ( W = U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(119,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ( app @ W @ V )
!= ( app @ U @ V ) )
| ( W = U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(120,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(121,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = V )
| ( nil = U )
| ( ( hd @ V )
!= ( hd @ U ) )
| ( ( tl @ V )
!= ( tl @ U ) )
| ( V = U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(122,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ( ( tl @ U )
= ( sK5_V @ U ) )
& ( ssList @ ( sK5_V @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(123,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ( ( hd @ U )
= ( sK6_V @ U ) )
& ( ssItem @ ( sK6_V @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(124,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( equalelemsP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(125,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( duplicatefreeP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(126,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( strictorderedP @ ( cons @ U @ V ) )
| ( nil != V )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( strictorderedP @ ( cons @ U @ V ) )
| ( strictorderedP @ V )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( strictorderedP @ ( cons @ U @ V ) )
| ( lt @ U @ ( hd @ V ) )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = V )
| ~ ( strictorderedP @ V )
| ~ ( lt @ U @ ( hd @ V ) )
| ( strictorderedP @ ( cons @ U @ V ) ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil != V )
| ( strictorderedP @ ( cons @ U @ V ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(127,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( strictorderedP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(128,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( totalorderedP @ ( cons @ U @ V ) )
| ( nil != V )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( totalorderedP @ ( cons @ U @ V ) )
| ( totalorderedP @ V )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( totalorderedP @ ( cons @ U @ V ) )
| ( leq @ U @ ( hd @ V ) )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = V )
| ~ ( totalorderedP @ V )
| ~ ( leq @ U @ ( hd @ V ) )
| ( totalorderedP @ ( cons @ U @ V ) ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil != V )
| ( totalorderedP @ ( cons @ U @ V ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(129,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( totalorderedP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(130,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( strictorderP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(131,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( totalorderP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(132,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( cyclefreeP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(133,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil != U )
| ( segmentP @ nil @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( segmentP @ nil @ U )
| ( nil = U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(134,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( segmentP @ U @ nil ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(135,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ~ ( segmentP @ U @ V )
| ( segmentP @ ( app @ ( app @ W @ U ) @ X ) @ V ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(136,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( segmentP @ U @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(137,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( segmentP @ U @ V )
| ~ ( segmentP @ V @ U )
| ( U = V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(138,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( segmentP @ U @ V )
| ~ ( segmentP @ V @ W )
| ( segmentP @ U @ W ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(139,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil != U )
| ( rearsegP @ nil @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( rearsegP @ nil @ U )
| ( nil = U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(140,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( rearsegP @ U @ nil ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(141,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( rearsegP @ U @ V )
| ( rearsegP @ ( app @ W @ U ) @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(142,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( rearsegP @ U @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(143,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( rearsegP @ U @ V )
| ~ ( rearsegP @ V @ U )
| ( U = V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(144,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( rearsegP @ U @ V )
| ~ ( rearsegP @ V @ W )
| ( rearsegP @ U @ W ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(145,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil != U )
| ( frontsegP @ nil @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( frontsegP @ nil @ U )
| ( nil = U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(146,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( frontsegP @ U @ nil ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(147,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ! [X: $i] :
( ~ ( ssList @ X )
| ( U != V )
| ~ ( frontsegP @ W @ X )
| ( frontsegP @ ( cons @ U @ W ) @ ( cons @ V @ X ) ) )
& ! [X: $i] :
( ~ ( ssList @ X )
| ~ ( frontsegP @ ( cons @ U @ W ) @ ( cons @ V @ X ) )
| ( U = V ) )
& ! [X: $i] :
( ~ ( ssList @ X )
| ~ ( frontsegP @ ( cons @ U @ W ) @ ( cons @ V @ X ) )
| ( frontsegP @ W @ X ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(148,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( frontsegP @ U @ V )
| ( frontsegP @ ( app @ U @ W ) @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(149,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( frontsegP @ U @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(150,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( frontsegP @ U @ V )
| ~ ( frontsegP @ V @ U )
| ( U = V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(151,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( frontsegP @ U @ V )
| ~ ( frontsegP @ V @ W )
| ( frontsegP @ U @ W ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(152,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ~ ( memberP @ nil @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(153,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( memberP @ ( cons @ V @ W ) @ U )
| ( U = V )
| ( memberP @ W @ U ) )
& ! [W: $i] :
( ~ ( ssList @ W )
| ( U != V )
| ( memberP @ ( cons @ V @ W ) @ U ) )
& ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( memberP @ W @ U )
| ( memberP @ ( cons @ V @ W ) @ U ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(154,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( memberP @ ( app @ V @ W ) @ U )
| ( memberP @ V @ U )
| ( memberP @ W @ U ) )
& ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( memberP @ V @ U )
| ( memberP @ ( app @ V @ W ) @ U ) )
& ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( memberP @ W @ U )
| ( memberP @ ( app @ V @ W ) @ U ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(155,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( gt @ U @ V )
| ( lt @ V @ U ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( lt @ V @ U )
| ( gt @ U @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(156,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( lt @ U @ V )
| ~ ( lt @ V @ W )
| ( lt @ U @ W ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(157,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( lt @ U @ V )
| ~ ( lt @ V @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(158,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( geq @ U @ V )
| ( leq @ V @ U ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( leq @ V @ U )
| ( geq @ U @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(159,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( leq @ U @ U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(160,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( leq @ U @ V )
| ~ ( leq @ V @ W )
| ( leq @ U @ W ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(161,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( leq @ U @ V )
| ~ ( leq @ V @ U )
| ( U = V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(162,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ nil @ U )
= U ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(163,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ( ( cons @ W @ ( app @ V @ U ) )
= ( app @ ( cons @ W @ V ) @ U ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(164,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ssList @ ( app @ U @ V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(165,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ( tl @ ( cons @ V @ U ) )
= U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(166,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssList @ ( tl @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(167,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ( hd @ ( cons @ V @ U ) )
= V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(168,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssItem @ ( hd @ U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(169,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( nil
!= ( cons @ V @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(170,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ( ( cons @ ( sK8_SY569 @ U ) @ ( sK7_V @ U ) )
= U )
& ( ssItem @ ( sK8_SY569 @ U ) )
& ( ssList @ ( sK7_V @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(171,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ( ! [X: $i] :
( ~ ( ssItem @ X )
| ( ( cons @ W @ U )
!= ( cons @ X @ V ) )
| ( W = X ) )
& ! [X: $i] :
( ~ ( ssItem @ X )
| ( ( cons @ W @ U )
!= ( cons @ X @ V ) )
| ( V = U ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(172,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ( cons @ V @ U )
!= U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(173,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ssList @ ( cons @ V @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(174,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ( U = V )
| ( neq @ U @ V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( neq @ U @ V )
| ( U != V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(175,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK9_V @ U ) )
& ( ssItem @ ( sK10_SY570 @ U ) )
& ( ssList @ ( sK11_SY573 @ U ) )
& ( ssList @ ( sK12_SY575 @ U ) )
& ( ( app @ ( sK11_SY573 @ U ) @ ( cons @ ( sK9_V @ U ) @ ( cons @ ( sK10_SY570 @ U ) @ ( sK12_SY575 @ U ) ) ) )
= U )
& ( ( sK9_V @ U )
!= ( sK10_SY570 @ U ) ) )
| ( equalelemsP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( equalelemsP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ( ( app @ X @ ( cons @ V @ ( cons @ W @ Y ) ) )
!= U )
| ( V = W ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(176,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK13_V @ U ) )
& ( ssItem @ ( sK14_SY576 @ U ) )
& ( ssList @ ( sK15_SY580 @ U ) )
& ( ssList @ ( sK16_SY583 @ U ) )
& ( ssList @ ( sK17_SY585 @ U ) )
& ( ( app @ ( app @ ( sK15_SY580 @ U ) @ ( cons @ ( sK13_V @ U ) @ ( sK16_SY583 @ U ) ) ) @ ( cons @ ( sK14_SY576 @ U ) @ ( sK17_SY585 @ U ) ) )
= U )
& ( ( sK13_V @ U )
= ( sK14_SY576 @ U ) ) )
| ( duplicatefreeP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( duplicatefreeP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ( V != W ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(177,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK18_V @ U ) )
& ( ssItem @ ( sK19_SY586 @ U ) )
& ( ssList @ ( sK20_SY590 @ U ) )
& ( ssList @ ( sK21_SY593 @ U ) )
& ( ssList @ ( sK22_SY595 @ U ) )
& ( ( app @ ( app @ ( sK20_SY590 @ U ) @ ( cons @ ( sK18_V @ U ) @ ( sK21_SY593 @ U ) ) ) @ ( cons @ ( sK19_SY586 @ U ) @ ( sK22_SY595 @ U ) ) )
= U )
& ~ ( lt @ ( sK18_V @ U ) @ ( sK19_SY586 @ U ) ) )
| ( strictorderedP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( strictorderedP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ( lt @ V @ W ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(178,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK23_V @ U ) )
& ( ssItem @ ( sK24_SY596 @ U ) )
& ( ssList @ ( sK25_SY600 @ U ) )
& ( ssList @ ( sK26_SY603 @ U ) )
& ( ssList @ ( sK27_SY605 @ U ) )
& ( ( app @ ( app @ ( sK25_SY600 @ U ) @ ( cons @ ( sK23_V @ U ) @ ( sK26_SY603 @ U ) ) ) @ ( cons @ ( sK24_SY596 @ U ) @ ( sK27_SY605 @ U ) ) )
= U )
& ~ ( leq @ ( sK23_V @ U ) @ ( sK24_SY596 @ U ) ) )
| ( totalorderedP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( totalorderedP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ( leq @ V @ W ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(179,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK28_V @ U ) )
& ( ssItem @ ( sK29_SY606 @ U ) )
& ( ssList @ ( sK30_SY610 @ U ) )
& ( ssList @ ( sK31_SY613 @ U ) )
& ( ssList @ ( sK32_SY615 @ U ) )
& ( ( app @ ( app @ ( sK30_SY610 @ U ) @ ( cons @ ( sK28_V @ U ) @ ( sK31_SY613 @ U ) ) ) @ ( cons @ ( sK29_SY606 @ U ) @ ( sK32_SY615 @ U ) ) )
= U )
& ~ ( lt @ ( sK28_V @ U ) @ ( sK29_SY606 @ U ) )
& ~ ( lt @ ( sK29_SY606 @ U ) @ ( sK28_V @ U ) ) )
| ( strictorderP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( strictorderP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ( lt @ V @ W )
| ( lt @ W @ V ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(180,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK33_V @ U ) )
& ( ssItem @ ( sK34_SY616 @ U ) )
& ( ssList @ ( sK35_SY620 @ U ) )
& ( ssList @ ( sK36_SY623 @ U ) )
& ( ssList @ ( sK37_SY625 @ U ) )
& ( ( app @ ( app @ ( sK35_SY620 @ U ) @ ( cons @ ( sK33_V @ U ) @ ( sK36_SY623 @ U ) ) ) @ ( cons @ ( sK34_SY616 @ U ) @ ( sK37_SY625 @ U ) ) )
= U )
& ~ ( leq @ ( sK33_V @ U ) @ ( sK34_SY616 @ U ) )
& ~ ( leq @ ( sK34_SY616 @ U ) @ ( sK33_V @ U ) ) )
| ( totalorderP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( totalorderP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ( leq @ V @ W )
| ( leq @ W @ V ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(181,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK38_V @ U ) )
& ( ssItem @ ( sK39_SY626 @ U ) )
& ( ssList @ ( sK40_SY630 @ U ) )
& ( ssList @ ( sK41_SY633 @ U ) )
& ( ssList @ ( sK42_SY635 @ U ) )
& ( ( app @ ( app @ ( sK40_SY630 @ U ) @ ( cons @ ( sK38_V @ U ) @ ( sK41_SY633 @ U ) ) ) @ ( cons @ ( sK39_SY626 @ U ) @ ( sK42_SY635 @ U ) ) )
= U )
& ( leq @ ( sK38_V @ U ) @ ( sK39_SY626 @ U ) )
& ( leq @ ( sK39_SY626 @ U ) @ ( sK38_V @ U ) ) )
| ( cyclefreeP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( cyclefreeP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ~ ( leq @ V @ W )
| ~ ( leq @ W @ V ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(182,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ! [X: $i] :
( ( ( app @ ( app @ W @ V ) @ X )
!= U )
| ~ ( ssList @ X ) )
| ~ ( ssList @ W ) )
| ( segmentP @ U @ V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( segmentP @ U @ V )
| ( ( ( app @ ( app @ ( sK43_W @ V @ U ) @ V ) @ ( sK44_SY636 @ V @ U ) )
= U )
& ( ssList @ ( sK44_SY636 @ V @ U ) )
& ( ssList @ ( sK43_W @ V @ U ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(183,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ( ( app @ W @ V )
!= U )
| ~ ( ssList @ W ) )
| ( rearsegP @ U @ V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( rearsegP @ U @ V )
| ( ( ( app @ ( sK45_W @ V @ U ) @ V )
= U )
& ( ssList @ ( sK45_W @ V @ U ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(184,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ( ( app @ V @ W )
!= U )
| ~ ( ssList @ W ) )
| ( frontsegP @ U @ V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( frontsegP @ U @ V )
| ( ( ( app @ V @ ( sK46_W @ V @ U ) )
= U )
& ( ssList @ ( sK46_W @ V @ U ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(185,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ( ( cons @ V @ nil )
!= U )
| ~ ( ssItem @ V ) )
| ( singletonP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( singletonP @ U )
| ( ( ( cons @ ( sK47_V @ U ) @ nil )
= U )
& ( ssItem @ ( sK47_V @ U ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(186,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ! [X: $i] :
( ( ( app @ W @ ( cons @ V @ X ) )
!= U )
| ~ ( ssList @ X ) )
| ~ ( ssList @ W ) )
| ( memberP @ U @ V ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( memberP @ U @ V )
| ( ( ( app @ ( sK48_W @ V @ U ) @ ( cons @ V @ ( sK49_SY637 @ V @ U ) ) )
= U )
& ( ssList @ ( sK49_SY637 @ V @ U ) )
& ( ssList @ ( sK48_W @ V @ U ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(187,plain,
( ( ( sK50_U != sK51_SY638 )
& ( ssItem @ sK51_SY638 )
& ( ssItem @ sK50_U ) )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(188,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssItem @ V )
| ( U = V )
| ( neq @ U @ V ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( neq @ U @ V )
| ( U != V ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(189,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssItem @ V )
| ( U = V )
| ( neq @ U @ V ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( neq @ U @ V )
| ( U != V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(190,plain,
( ( ( sK50_U != sK51_SY638 )
& ( ssItem @ sK51_SY638 )
& ( ssItem @ sK50_U ) )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(191,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ! [X: $i] :
( ( ( app @ W @ ( cons @ V @ X ) )
!= U )
| ~ ( ssList @ X ) )
| ~ ( ssList @ W ) )
| ( memberP @ U @ V ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( memberP @ U @ V )
| ( ( ( app @ ( sK48_W @ V @ U ) @ ( cons @ V @ ( sK49_SY637 @ V @ U ) ) )
= U )
& ( ssList @ ( sK49_SY637 @ V @ U ) )
& ( ssList @ ( sK48_W @ V @ U ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(192,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ( ( cons @ V @ nil )
!= U )
| ~ ( ssItem @ V ) )
| ( singletonP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( singletonP @ U )
| ( ( ( cons @ ( sK47_V @ U ) @ nil )
= U )
& ( ssItem @ ( sK47_V @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(193,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ( ( app @ V @ W )
!= U )
| ~ ( ssList @ W ) )
| ( frontsegP @ U @ V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( frontsegP @ U @ V )
| ( ( ( app @ V @ ( sK46_W @ V @ U ) )
= U )
& ( ssList @ ( sK46_W @ V @ U ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(194,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ( ( app @ W @ V )
!= U )
| ~ ( ssList @ W ) )
| ( rearsegP @ U @ V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( rearsegP @ U @ V )
| ( ( ( app @ ( sK45_W @ V @ U ) @ V )
= U )
& ( ssList @ ( sK45_W @ V @ U ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(195,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ! [X: $i] :
( ( ( app @ ( app @ W @ V ) @ X )
!= U )
| ~ ( ssList @ X ) )
| ~ ( ssList @ W ) )
| ( segmentP @ U @ V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( segmentP @ U @ V )
| ( ( ( app @ ( app @ ( sK43_W @ V @ U ) @ V ) @ ( sK44_SY636 @ V @ U ) )
= U )
& ( ssList @ ( sK44_SY636 @ V @ U ) )
& ( ssList @ ( sK43_W @ V @ U ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(196,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK38_V @ U ) )
& ( ssItem @ ( sK39_SY626 @ U ) )
& ( ssList @ ( sK40_SY630 @ U ) )
& ( ssList @ ( sK41_SY633 @ U ) )
& ( ssList @ ( sK42_SY635 @ U ) )
& ( ( app @ ( app @ ( sK40_SY630 @ U ) @ ( cons @ ( sK38_V @ U ) @ ( sK41_SY633 @ U ) ) ) @ ( cons @ ( sK39_SY626 @ U ) @ ( sK42_SY635 @ U ) ) )
= U )
& ( leq @ ( sK38_V @ U ) @ ( sK39_SY626 @ U ) )
& ( leq @ ( sK39_SY626 @ U ) @ ( sK38_V @ U ) ) )
| ( cyclefreeP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( cyclefreeP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ~ ( leq @ V @ W )
| ~ ( leq @ W @ V ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(197,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK33_V @ U ) )
& ( ssItem @ ( sK34_SY616 @ U ) )
& ( ssList @ ( sK35_SY620 @ U ) )
& ( ssList @ ( sK36_SY623 @ U ) )
& ( ssList @ ( sK37_SY625 @ U ) )
& ( ( app @ ( app @ ( sK35_SY620 @ U ) @ ( cons @ ( sK33_V @ U ) @ ( sK36_SY623 @ U ) ) ) @ ( cons @ ( sK34_SY616 @ U ) @ ( sK37_SY625 @ U ) ) )
= U )
& ~ ( leq @ ( sK33_V @ U ) @ ( sK34_SY616 @ U ) )
& ~ ( leq @ ( sK34_SY616 @ U ) @ ( sK33_V @ U ) ) )
| ( totalorderP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( totalorderP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ( leq @ V @ W )
| ( leq @ W @ V ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(198,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK28_V @ U ) )
& ( ssItem @ ( sK29_SY606 @ U ) )
& ( ssList @ ( sK30_SY610 @ U ) )
& ( ssList @ ( sK31_SY613 @ U ) )
& ( ssList @ ( sK32_SY615 @ U ) )
& ( ( app @ ( app @ ( sK30_SY610 @ U ) @ ( cons @ ( sK28_V @ U ) @ ( sK31_SY613 @ U ) ) ) @ ( cons @ ( sK29_SY606 @ U ) @ ( sK32_SY615 @ U ) ) )
= U )
& ~ ( lt @ ( sK28_V @ U ) @ ( sK29_SY606 @ U ) )
& ~ ( lt @ ( sK29_SY606 @ U ) @ ( sK28_V @ U ) ) )
| ( strictorderP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( strictorderP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ( lt @ V @ W )
| ( lt @ W @ V ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(199,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK23_V @ U ) )
& ( ssItem @ ( sK24_SY596 @ U ) )
& ( ssList @ ( sK25_SY600 @ U ) )
& ( ssList @ ( sK26_SY603 @ U ) )
& ( ssList @ ( sK27_SY605 @ U ) )
& ( ( app @ ( app @ ( sK25_SY600 @ U ) @ ( cons @ ( sK23_V @ U ) @ ( sK26_SY603 @ U ) ) ) @ ( cons @ ( sK24_SY596 @ U ) @ ( sK27_SY605 @ U ) ) )
= U )
& ~ ( leq @ ( sK23_V @ U ) @ ( sK24_SY596 @ U ) ) )
| ( totalorderedP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( totalorderedP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ( leq @ V @ W ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(200,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK18_V @ U ) )
& ( ssItem @ ( sK19_SY586 @ U ) )
& ( ssList @ ( sK20_SY590 @ U ) )
& ( ssList @ ( sK21_SY593 @ U ) )
& ( ssList @ ( sK22_SY595 @ U ) )
& ( ( app @ ( app @ ( sK20_SY590 @ U ) @ ( cons @ ( sK18_V @ U ) @ ( sK21_SY593 @ U ) ) ) @ ( cons @ ( sK19_SY586 @ U ) @ ( sK22_SY595 @ U ) ) )
= U )
& ~ ( lt @ ( sK18_V @ U ) @ ( sK19_SY586 @ U ) ) )
| ( strictorderedP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( strictorderedP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ( lt @ V @ W ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(201,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK13_V @ U ) )
& ( ssItem @ ( sK14_SY576 @ U ) )
& ( ssList @ ( sK15_SY580 @ U ) )
& ( ssList @ ( sK16_SY583 @ U ) )
& ( ssList @ ( sK17_SY585 @ U ) )
& ( ( app @ ( app @ ( sK15_SY580 @ U ) @ ( cons @ ( sK13_V @ U ) @ ( sK16_SY583 @ U ) ) ) @ ( cons @ ( sK14_SY576 @ U ) @ ( sK17_SY585 @ U ) ) )
= U )
& ( ( sK13_V @ U )
= ( sK14_SY576 @ U ) ) )
| ( duplicatefreeP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( duplicatefreeP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ! [Z: $i] :
( ~ ( ssList @ Z )
| ( ( app @ ( app @ X @ ( cons @ V @ Y ) ) @ ( cons @ W @ Z ) )
!= U )
| ( V != W ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(202,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( ssItem @ ( sK9_V @ U ) )
& ( ssItem @ ( sK10_SY570 @ U ) )
& ( ssList @ ( sK11_SY573 @ U ) )
& ( ssList @ ( sK12_SY575 @ U ) )
& ( ( app @ ( sK11_SY573 @ U ) @ ( cons @ ( sK9_V @ U ) @ ( cons @ ( sK10_SY570 @ U ) @ ( sK12_SY575 @ U ) ) ) )
= U )
& ( ( sK9_V @ U )
!= ( sK10_SY570 @ U ) ) )
| ( equalelemsP @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( equalelemsP @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ! [Y: $i] :
( ~ ( ssList @ Y )
| ( ( app @ X @ ( cons @ V @ ( cons @ W @ Y ) ) )
!= U )
| ( V = W ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(203,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ( U = V )
| ( neq @ U @ V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( neq @ U @ V )
| ( U != V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(204,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ssList @ ( cons @ V @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(205,plain,
( ( ssList @ nil )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(206,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ( cons @ V @ U )
!= U ) ) ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(207,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ( ! [X: $i] :
( ~ ( ssItem @ X )
| ( ( cons @ W @ U )
!= ( cons @ X @ V ) )
| ( W = X ) )
& ! [X: $i] :
( ~ ( ssItem @ X )
| ( ( cons @ W @ U )
!= ( cons @ X @ V ) )
| ( V = U ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(208,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ( ( cons @ ( sK8_SY569 @ U ) @ ( sK7_V @ U ) )
= U )
& ( ssItem @ ( sK8_SY569 @ U ) )
& ( ssList @ ( sK7_V @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(209,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( nil
!= ( cons @ V @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(210,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssItem @ ( hd @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(211,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ( hd @ ( cons @ V @ U ) )
= V ) ) ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(212,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ssList @ ( tl @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(213,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ( tl @ ( cons @ V @ U ) )
= U ) ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(214,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ssList @ ( app @ U @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(215,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ( ( cons @ W @ ( app @ V @ U ) )
= ( app @ ( cons @ W @ V ) @ U ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(216,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ nil @ U )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(217,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( leq @ U @ V )
| ~ ( leq @ V @ U )
| ( U = V ) ) ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(218,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( leq @ U @ V )
| ~ ( leq @ V @ W )
| ( leq @ U @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(219,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( leq @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(220,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( geq @ U @ V )
| ( leq @ V @ U ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( leq @ V @ U )
| ( geq @ U @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(221,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( lt @ U @ V )
| ~ ( lt @ V @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(222,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( lt @ U @ V )
| ~ ( lt @ V @ W )
| ( lt @ U @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(223,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( gt @ U @ V )
| ( lt @ V @ U ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( lt @ V @ U )
| ( gt @ U @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(224,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( memberP @ ( app @ V @ W ) @ U )
| ( memberP @ V @ U )
| ( memberP @ W @ U ) )
& ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( memberP @ V @ U )
| ( memberP @ ( app @ V @ W ) @ U ) )
& ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( memberP @ W @ U )
| ( memberP @ ( app @ V @ W ) @ U ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(225,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( memberP @ ( cons @ V @ W ) @ U )
| ( U = V )
| ( memberP @ W @ U ) )
& ! [W: $i] :
( ~ ( ssList @ W )
| ( U != V )
| ( memberP @ ( cons @ V @ W ) @ U ) )
& ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( memberP @ W @ U )
| ( memberP @ ( cons @ V @ W ) @ U ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(226,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ~ ( memberP @ nil @ U ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(227,plain,
( ( ~ ( singletonP @ nil ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(228,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( frontsegP @ U @ V )
| ~ ( frontsegP @ V @ W )
| ( frontsegP @ U @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(229,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( frontsegP @ U @ V )
| ~ ( frontsegP @ V @ U )
| ( U = V ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(230,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( frontsegP @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(231,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( frontsegP @ U @ V )
| ( frontsegP @ ( app @ U @ W ) @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(232,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ! [X: $i] :
( ~ ( ssList @ X )
| ( U != V )
| ~ ( frontsegP @ W @ X )
| ( frontsegP @ ( cons @ U @ W ) @ ( cons @ V @ X ) ) )
& ! [X: $i] :
( ~ ( ssList @ X )
| ~ ( frontsegP @ ( cons @ U @ W ) @ ( cons @ V @ X ) )
| ( U = V ) )
& ! [X: $i] :
( ~ ( ssList @ X )
| ~ ( frontsegP @ ( cons @ U @ W ) @ ( cons @ V @ X ) )
| ( frontsegP @ W @ X ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(233,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( frontsegP @ U @ nil ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(234,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil != U )
| ( frontsegP @ nil @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( frontsegP @ nil @ U )
| ( nil = U ) ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(235,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( rearsegP @ U @ V )
| ~ ( rearsegP @ V @ W )
| ( rearsegP @ U @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(236,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( rearsegP @ U @ V )
| ~ ( rearsegP @ V @ U )
| ( U = V ) ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(237,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( rearsegP @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(238,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( rearsegP @ U @ V )
| ( rearsegP @ ( app @ W @ U ) @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(239,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( rearsegP @ U @ nil ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(240,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil != U )
| ( rearsegP @ nil @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( rearsegP @ nil @ U )
| ( nil = U ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(241,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ~ ( segmentP @ U @ V )
| ~ ( segmentP @ V @ W )
| ( segmentP @ U @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(242,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( segmentP @ U @ V )
| ~ ( segmentP @ V @ U )
| ( U = V ) ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(243,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( segmentP @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(244,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ! [X: $i] :
( ~ ( ssList @ X )
| ~ ( segmentP @ U @ V )
| ( segmentP @ ( app @ ( app @ W @ U ) @ X ) @ V ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(245,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( segmentP @ U @ nil ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(246,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil != U )
| ( segmentP @ nil @ U ) )
& ! [U: $i] :
( ~ ( ssList @ U )
| ~ ( segmentP @ nil @ U )
| ( nil = U ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(247,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( cyclefreeP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(248,plain,
( ( cyclefreeP @ nil )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(249,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( totalorderP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(250,plain,
( ( totalorderP @ nil )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(251,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( strictorderP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(252,plain,
( ( strictorderP @ nil )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(253,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( totalorderedP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(254,plain,
( ( totalorderedP @ nil )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(255,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( totalorderedP @ ( cons @ U @ V ) )
| ( nil != V )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( totalorderedP @ ( cons @ U @ V ) )
| ( totalorderedP @ V )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( totalorderedP @ ( cons @ U @ V ) )
| ( leq @ U @ ( hd @ V ) )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = V )
| ~ ( totalorderedP @ V )
| ~ ( leq @ U @ ( hd @ V ) )
| ( totalorderedP @ ( cons @ U @ V ) ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil != V )
| ( totalorderedP @ ( cons @ U @ V ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(256,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( strictorderedP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(257,plain,
( ( strictorderedP @ nil )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(258,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( strictorderedP @ ( cons @ U @ V ) )
| ( nil != V )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( strictorderedP @ ( cons @ U @ V ) )
| ( strictorderedP @ V )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ~ ( strictorderedP @ ( cons @ U @ V ) )
| ( lt @ U @ ( hd @ V ) )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = V )
| ~ ( strictorderedP @ V )
| ~ ( lt @ U @ ( hd @ V ) )
| ( strictorderedP @ ( cons @ U @ V ) ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil != V )
| ( strictorderedP @ ( cons @ U @ V ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(259,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( duplicatefreeP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(260,plain,
( ( duplicatefreeP @ nil )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(261,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( equalelemsP @ ( cons @ U @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(262,plain,
( ( equalelemsP @ nil )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(263,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ( ( hd @ U )
= ( sK6_V @ U ) )
& ( ssItem @ ( sK6_V @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(264,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ( ( tl @ U )
= ( sK5_V @ U ) )
& ( ssList @ ( sK5_V @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(265,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = V )
| ( nil = U )
| ( ( hd @ V )
!= ( hd @ U ) )
| ( ( tl @ V )
!= ( tl @ U ) )
| ( V = U ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(266,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( nil = U )
| ( ( cons @ ( hd @ U ) @ ( tl @ U ) )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(267,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ( app @ W @ V )
!= ( app @ U @ V ) )
| ( W = U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(268,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ( app @ V @ W )
!= ( app @ V @ U ) )
| ( W = U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(269,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ( ( cons @ V @ U )
= ( app @ ( cons @ V @ nil ) @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(270,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ! [W: $i] :
( ~ ( ssList @ W )
| ( ( app @ ( app @ U @ V ) @ W )
= ( app @ U @ ( app @ V @ W ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(271,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ! [V: $i] :
( ~ ( ssList @ V )
| ( nil != V )
| ( nil != U )
| ( nil
= ( app @ U @ V ) ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil
!= ( app @ U @ V ) )
| ( nil = V ) )
& ! [V: $i] :
( ~ ( ssList @ V )
| ( nil
!= ( app @ U @ V ) )
| ( nil = U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(272,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ( ( app @ U @ nil )
= U ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(273,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = U )
| ( ( hd @ ( app @ U @ V ) )
= ( hd @ U ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(274,plain,
( ( ! [U: $i] :
( ~ ( ssList @ U )
| ! [V: $i] :
( ~ ( ssList @ V )
| ( nil = U )
| ( ( tl @ ( app @ U @ V ) )
= ( app @ ( tl @ U ) @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(275,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( geq @ U @ V )
| ~ ( geq @ V @ U )
| ( U = V ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(276,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( geq @ U @ V )
| ~ ( geq @ V @ W )
| ( geq @ U @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(277,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( geq @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(278,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ~ ( lt @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(279,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( leq @ U @ V )
| ~ ( lt @ V @ W )
| ( lt @ U @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(280,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( leq @ U @ V )
| ( U = V )
| ( lt @ U @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(281,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ( ! [V: $i] :
( ~ ( ssItem @ V )
| ( U = V )
| ~ ( leq @ U @ V )
| ( lt @ U @ V ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( lt @ U @ V )
| ( U != V ) )
& ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( lt @ U @ V )
| ( leq @ U @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(282,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ~ ( gt @ U @ V )
| ~ ( gt @ V @ U ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(283,plain,
( ( ! [U: $i] :
( ~ ( ssItem @ U )
| ! [V: $i] :
( ~ ( ssItem @ V )
| ! [W: $i] :
( ~ ( ssItem @ W )
| ~ ( gt @ U @ V )
| ~ ( gt @ V @ W )
| ( gt @ U @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(284,plain,
( ( ssList @ sK1_U )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(285,plain,
( ( ( ssList @ sK2_SY549 )
& ( ssList @ sK3_SY554 )
& ( ssList @ sK4_SY560 )
& ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
& ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) )
& ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
& ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) )
& ( ! [SY565: $i] :
( ( sK4_SY560 = SY565 )
| ~ ( ssList @ SY565 )
| ! [SY566: $i] :
( ( ( tl @ sK4_SY560 )
!= SY566 )
| ~ ( ssList @ SY566 )
| ( ( app @ sK3_SY554 @ SY566 )
!= SY565 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
& ( ! [SY567: $i] :
( ( sK4_SY560 = SY567 )
| ~ ( ssList @ SY567 )
| ! [SY568: $i] :
( ( ( tl @ sK4_SY560 )
!= SY568 )
| ~ ( ssList @ SY568 )
| ( ( app @ sK3_SY554 @ SY568 )
!= SY567 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) )
& ( sK2_SY549 = sK4_SY560 )
& ( sK1_U = sK3_SY554 ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(286,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil = SX0 )
| ~ ( ( ( hd @ SX0 )
!= ( sK6_V @ SX0 ) )
| ~ ( ssItem @ ( sK6_V @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(287,plain,
( ( ! [SX0: $i] :
( ~ ( ssItem @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ( SX0 != SX1 )
| ~ ( frontsegP @ SX2 @ SX3 )
| ( frontsegP @ ( cons @ SX0 @ SX2 ) @ ( cons @ SX1 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ~ ( frontsegP @ ( cons @ SX0 @ SX2 ) @ ( cons @ SX1 @ SX3 ) )
| ( SX0 = SX1 ) )
| ~ ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ~ ( frontsegP @ ( cons @ SX0 @ SX2 ) @ ( cons @ SX1 @ SX3 ) )
| ( frontsegP @ SX2 @ SX3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(288,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK28_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK29_SY606 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SX0 ) @ ( cons @ ( sK28_V @ SX0 ) @ ( sK31_SY613 @ SX0 ) ) ) @ ( cons @ ( sK29_SY606 @ SX0 ) @ ( sK32_SY615 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SX0 ) @ ( sK29_SY606 @ SX0 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SX0 ) @ ( sK28_V @ SX0 ) ) ) ) ) ) ) ) )
| ( strictorderP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( strictorderP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( lt @ SX1 @ SX2 )
| ( lt @ SX2 @ SX1 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(289,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ! [SX3: $i] :
( ( ( app @ SX2 @ ( cons @ SX1 @ SX3 ) )
!= SX0 )
| ~ ( ssList @ SX3 ) )
| ~ ( ssList @ SX2 ) )
| ( memberP @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ~ ( memberP @ SX0 @ SX1 )
| ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SX1 @ SX0 ) @ ( cons @ SX1 @ ( sK49_SY637 @ SX1 @ SX0 ) ) )
!= SX0 )
| ~ ( ssList @ ( sK49_SY637 @ SX1 @ SX0 ) ) )
| ~ ( ssList @ ( sK48_W @ SX1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(290,plain,
( ( ! [SX0: $i] :
( ~ ( ssItem @ SX0 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( totalorderedP @ ( cons @ SX0 @ SX1 ) )
| ( nil != SX1 )
| ( nil = SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( totalorderedP @ ( cons @ SX0 @ SX1 ) )
| ( totalorderedP @ SX1 )
| ( nil = SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( totalorderedP @ ( cons @ SX0 @ SX1 ) )
| ( leq @ SX0 @ ( hd @ SX1 ) )
| ( nil = SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ( nil = SX1 )
| ~ ( totalorderedP @ SX1 )
| ~ ( leq @ SX0 @ ( hd @ SX1 ) )
| ( totalorderedP @ ( cons @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ( nil != SX1 )
| ( totalorderedP @ ( cons @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(291,plain,
( ( ! [SX0: $i] :
( ~ ( ssItem @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ~ ( gt @ SX0 @ SX1 )
| ( lt @ SX1 @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ~ ( lt @ SX1 @ SX0 )
| ( gt @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(292,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ( ( app @ SX1 @ SX2 )
!= SX0 )
| ~ ( ssList @ SX2 ) )
| ( frontsegP @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( frontsegP @ SX0 @ SX1 )
| ~ ( ( ( app @ SX1 @ ( sK46_W @ SX1 @ SX0 ) )
!= SX0 )
| ~ ( ssList @ ( sK46_W @ SX1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(293,plain,
( ( ! [SX0: $i] :
( ~ ( ssItem @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ~ ( geq @ SX0 @ SX1 )
| ( leq @ SX1 @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ~ ( leq @ SX1 @ SX0 )
| ( geq @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(294,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK9_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK10_SY570 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SX0 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SX0 ) @ ( cons @ ( sK9_V @ SX0 ) @ ( cons @ ( sK10_SY570 @ SX0 ) @ ( sK12_SY575 @ SX0 ) ) ) )
!= SX0 )
| ~ ( ( ( sK9_V @ SX0 )
!= ( sK10_SY570 @ SX0 ) ) ) ) ) ) ) )
| ( equalelemsP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( equalelemsP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ( ( app @ SX3 @ ( cons @ SX1 @ ( cons @ SX2 @ SX4 ) ) )
!= SX0 )
| ( SX1 = SX2 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(295,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK33_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK34_SY616 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SX0 ) @ ( cons @ ( sK33_V @ SX0 ) @ ( sK36_SY623 @ SX0 ) ) ) @ ( cons @ ( sK34_SY616 @ SX0 ) @ ( sK37_SY625 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SX0 ) @ ( sK34_SY616 @ SX0 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SX0 ) @ ( sK33_V @ SX0 ) ) ) ) ) ) ) ) )
| ( totalorderP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( totalorderP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( leq @ SX1 @ SX2 )
| ( leq @ SX2 @ SX1 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(296,plain,
( ( ~ ( ~ ~ ( ~ ( ( sK50_U != sK51_SY638 ) )
| ~ ( ssItem @ sK51_SY638 ) )
| ~ ( ssItem @ sK50_U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(297,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ( SX0 = SX1 )
| ( neq @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( neq @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(298,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK13_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK14_SY576 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SX0 ) @ ( cons @ ( sK13_V @ SX0 ) @ ( sK16_SY583 @ SX0 ) ) ) @ ( cons @ ( sK14_SY576 @ SX0 ) @ ( sK17_SY585 @ SX0 ) ) )
!= SX0 )
| ( ( sK13_V @ SX0 )
!= ( sK14_SY576 @ SX0 ) ) ) ) ) ) ) )
| ( duplicatefreeP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( duplicatefreeP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( SX1 != SX2 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(299,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK18_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK19_SY586 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SX0 ) @ ( cons @ ( sK18_V @ SX0 ) @ ( sK21_SY593 @ SX0 ) ) ) @ ( cons @ ( sK19_SY586 @ SX0 ) @ ( sK22_SY595 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( lt @ ( sK18_V @ SX0 ) @ ( sK19_SY586 @ SX0 ) ) ) ) ) ) ) )
| ( strictorderedP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( strictorderedP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( lt @ SX1 @ SX2 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(300,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( ssItem @ SX3 )
| ( ( cons @ SX2 @ SX0 )
!= ( cons @ SX3 @ SX1 ) )
| ( SX2 = SX3 ) )
| ~ ! [SX3: $i] :
( ~ ( ssItem @ SX3 )
| ( ( cons @ SX2 @ SX0 )
!= ( cons @ SX3 @ SX1 ) )
| ( SX1 = SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(301,plain,
( ( ! [SX0: $i] :
( ~ ( ssItem @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ( SX0 = SX1 )
| ~ ( leq @ SX0 @ SX1 )
| ( lt @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ~ ( lt @ SX0 @ SX1 )
| ( SX0 != SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ~ ( lt @ SX0 @ SX1 )
| ( leq @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(302,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ( ( app @ SX2 @ SX1 )
!= SX0 )
| ~ ( ssList @ SX2 ) )
| ( rearsegP @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( rearsegP @ SX0 @ SX1 )
| ~ ( ( ( app @ ( sK45_W @ SX1 @ SX0 ) @ SX1 )
!= SX0 )
| ~ ( ssList @ ( sK45_W @ SX1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(303,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil = SX0 )
| ~ ( ~ ~ ( ( ( cons @ ( sK8_SY569 @ SX0 ) @ ( sK7_V @ SX0 ) )
!= SX0 )
| ~ ( ssItem @ ( sK8_SY569 @ SX0 ) ) )
| ~ ( ssList @ ( sK7_V @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(304,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ( nil != SX1 )
| ( nil != SX0 )
| ( nil
= ( app @ SX0 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ( nil
!= ( app @ SX0 @ SX1 ) )
| ( nil = SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ( nil
!= ( app @ SX0 @ SX1 ) )
| ( nil = SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(305,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( cons @ SX1 @ nil )
!= SX0 )
| ~ ( ssItem @ SX1 ) )
| ( singletonP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( singletonP @ SX0 )
| ~ ( ( ( cons @ ( sK47_V @ SX0 ) @ nil )
!= SX0 )
| ~ ( ssItem @ ( sK47_V @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(306,plain,
( ( ! [SX0: $i] :
( ~ ( ssItem @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ~ ( memberP @ ( cons @ SX1 @ SX2 ) @ SX0 )
| ( SX0 = SX1 )
| ( memberP @ SX2 @ SX0 ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ( SX0 != SX1 )
| ( memberP @ ( cons @ SX1 @ SX2 ) @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ~ ( memberP @ SX2 @ SX0 )
| ( memberP @ ( cons @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(307,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ! [SX3: $i] :
( ( ( app @ ( app @ SX2 @ SX1 ) @ SX3 )
!= SX0 )
| ~ ( ssList @ SX3 ) )
| ~ ( ssList @ SX2 ) )
| ( segmentP @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( segmentP @ SX0 @ SX1 )
| ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SX1 @ SX0 ) @ SX1 ) @ ( sK44_SY636 @ SX1 @ SX0 ) )
!= SX0 )
| ~ ( ssList @ ( sK44_SY636 @ SX1 @ SX0 ) ) )
| ~ ( ssList @ ( sK43_W @ SX1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(308,plain,
( ( ! [SX0: $i] :
( ~ ( ssItem @ SX0 )
| ~ ( ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ( SX0 = SX1 )
| ( neq @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ~ ( neq @ SX0 @ SX1 )
| ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(309,plain,
( ( ! [SX0: $i] :
( ~ ( ssItem @ SX0 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( strictorderedP @ ( cons @ SX0 @ SX1 ) )
| ( nil != SX1 )
| ( nil = SX1 ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( strictorderedP @ ( cons @ SX0 @ SX1 ) )
| ( strictorderedP @ SX1 )
| ( nil = SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( strictorderedP @ ( cons @ SX0 @ SX1 ) )
| ( lt @ SX0 @ ( hd @ SX1 ) )
| ( nil = SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ( nil = SX1 )
| ~ ( strictorderedP @ SX1 )
| ~ ( lt @ SX0 @ ( hd @ SX1 ) )
| ( strictorderedP @ ( cons @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ( nil != SX1 )
| ( strictorderedP @ ( cons @ SX0 @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(310,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( rearsegP @ nil @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( rearsegP @ nil @ SX0 )
| ( nil = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(311,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( frontsegP @ nil @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( frontsegP @ nil @ SX0 )
| ( nil = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(312,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK38_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK39_SY626 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SX0 ) @ ( cons @ ( sK38_V @ SX0 ) @ ( sK41_SY633 @ SX0 ) ) ) @ ( cons @ ( sK39_SY626 @ SX0 ) @ ( sK42_SY635 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SX0 ) @ ( sK39_SY626 @ SX0 ) )
| ~ ( leq @ ( sK39_SY626 @ SX0 ) @ ( sK38_V @ SX0 ) ) ) ) ) ) ) ) )
| ( cyclefreeP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( cyclefreeP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ~ ( leq @ SX1 @ SX2 )
| ~ ( leq @ SX2 @ SX1 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(313,plain,
( ( ~ ( ~ ( ssList @ sK2_SY549 )
| ~ ~ ( ~ ( ssList @ sK3_SY554 )
| ~ ~ ( ~ ( ssList @ sK4_SY560 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(314,plain,
( ( ! [SX0: $i] :
( ~ ( ssItem @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( ~ ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ~ ( memberP @ ( app @ SX1 @ SX2 ) @ SX0 )
| ( memberP @ SX1 @ SX0 )
| ( memberP @ SX2 @ SX0 ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ~ ( memberP @ SX1 @ SX0 )
| ( memberP @ ( app @ SX1 @ SX2 ) @ SX0 ) )
| ~ ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ~ ( memberP @ SX2 @ SX0 )
| ( memberP @ ( app @ SX1 @ SX2 ) @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(315,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil = SX0 )
| ~ ( ( ( tl @ SX0 )
!= ( sK5_V @ SX0 ) )
| ~ ( ssList @ ( sK5_V @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(316,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK23_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK24_SY596 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SX0 ) @ ( cons @ ( sK23_V @ SX0 ) @ ( sK26_SY603 @ SX0 ) ) ) @ ( cons @ ( sK24_SY596 @ SX0 ) @ ( sK27_SY605 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( leq @ ( sK23_V @ SX0 ) @ ( sK24_SY596 @ SX0 ) ) ) ) ) ) ) )
| ( totalorderedP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( totalorderedP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( leq @ SX1 @ SX2 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(317,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( segmentP @ nil @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( segmentP @ nil @ SX0 )
| ( nil = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(318,plain,
! [SV1: $i] :
( ( ~ ( ssList @ SV1 )
| ! [SY639: $i] :
( ~ ( ssItem @ SY639 )
| ( ssList @ ( cons @ SY639 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(319,plain,
! [SV2: $i] :
( ( ~ ( ssList @ SV2 )
| ! [SY640: $i] :
( ~ ( ssItem @ SY640 )
| ( ( cons @ SY640 @ SV2 )
!= SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(320,plain,
! [SV3: $i] :
( ( ~ ( ssList @ SV3 )
| ! [SY641: $i] :
( ~ ( ssItem @ SY641 )
| ( nil
!= ( cons @ SY641 @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(321,plain,
! [SV4: $i] :
( ( ~ ( ssList @ SV4 )
| ( nil = SV4 )
| ( ssItem @ ( hd @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(322,plain,
! [SV5: $i] :
( ( ~ ( ssList @ SV5 )
| ! [SY642: $i] :
( ~ ( ssItem @ SY642 )
| ( ( hd @ ( cons @ SY642 @ SV5 ) )
= SY642 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(323,plain,
! [SV6: $i] :
( ( ~ ( ssList @ SV6 )
| ( nil = SV6 )
| ( ssList @ ( tl @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(324,plain,
! [SV7: $i] :
( ( ~ ( ssList @ SV7 )
| ! [SY643: $i] :
( ~ ( ssItem @ SY643 )
| ( ( tl @ ( cons @ SY643 @ SV7 ) )
= SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(325,plain,
! [SV8: $i] :
( ( ~ ( ssList @ SV8 )
| ! [SY644: $i] :
( ~ ( ssList @ SY644 )
| ( ssList @ ( app @ SV8 @ SY644 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(326,plain,
! [SV9: $i] :
( ( ~ ( ssList @ SV9 )
| ! [SY645: $i] :
( ~ ( ssList @ SY645 )
| ! [SY646: $i] :
( ~ ( ssItem @ SY646 )
| ( ( cons @ SY646 @ ( app @ SY645 @ SV9 ) )
= ( app @ ( cons @ SY646 @ SY645 ) @ SV9 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(327,plain,
! [SV10: $i] :
( ( ~ ( ssList @ SV10 )
| ( ( app @ nil @ SV10 )
= SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(328,plain,
! [SV11: $i] :
( ( ~ ( ssItem @ SV11 )
| ! [SY647: $i] :
( ~ ( ssItem @ SY647 )
| ~ ( leq @ SV11 @ SY647 )
| ~ ( leq @ SY647 @ SV11 )
| ( SV11 = SY647 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(329,plain,
! [SV12: $i] :
( ( ~ ( ssItem @ SV12 )
| ! [SY648: $i] :
( ~ ( ssItem @ SY648 )
| ! [SY649: $i] :
( ~ ( ssItem @ SY649 )
| ~ ( leq @ SV12 @ SY648 )
| ~ ( leq @ SY648 @ SY649 )
| ( leq @ SV12 @ SY649 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(330,plain,
! [SV13: $i] :
( ( ~ ( ssItem @ SV13 )
| ( leq @ SV13 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(331,plain,
! [SV14: $i] :
( ( ~ ( ssItem @ SV14 )
| ! [SY650: $i] :
( ~ ( ssItem @ SY650 )
| ~ ( lt @ SV14 @ SY650 )
| ~ ( lt @ SY650 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(332,plain,
! [SV15: $i] :
( ( ~ ( ssItem @ SV15 )
| ! [SY651: $i] :
( ~ ( ssItem @ SY651 )
| ! [SY652: $i] :
( ~ ( ssItem @ SY652 )
| ~ ( lt @ SV15 @ SY651 )
| ~ ( lt @ SY651 @ SY652 )
| ( lt @ SV15 @ SY652 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(333,plain,
! [SV16: $i] :
( ( ~ ( ssItem @ SV16 )
| ~ ( memberP @ nil @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(334,plain,
( ( singletonP @ nil )
= $false ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(335,plain,
! [SV17: $i] :
( ( ~ ( ssList @ SV17 )
| ! [SY653: $i] :
( ~ ( ssList @ SY653 )
| ! [SY654: $i] :
( ~ ( ssList @ SY654 )
| ~ ( frontsegP @ SV17 @ SY653 )
| ~ ( frontsegP @ SY653 @ SY654 )
| ( frontsegP @ SV17 @ SY654 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(336,plain,
! [SV18: $i] :
( ( ~ ( ssList @ SV18 )
| ! [SY655: $i] :
( ~ ( ssList @ SY655 )
| ~ ( frontsegP @ SV18 @ SY655 )
| ~ ( frontsegP @ SY655 @ SV18 )
| ( SV18 = SY655 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(337,plain,
! [SV19: $i] :
( ( ~ ( ssList @ SV19 )
| ( frontsegP @ SV19 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(338,plain,
! [SV20: $i] :
( ( ~ ( ssList @ SV20 )
| ! [SY656: $i] :
( ~ ( ssList @ SY656 )
| ! [SY657: $i] :
( ~ ( ssList @ SY657 )
| ~ ( frontsegP @ SV20 @ SY656 )
| ( frontsegP @ ( app @ SV20 @ SY657 ) @ SY656 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(339,plain,
! [SV21: $i] :
( ( ~ ( ssList @ SV21 )
| ( frontsegP @ SV21 @ nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(340,plain,
! [SV22: $i] :
( ( ~ ( ssList @ SV22 )
| ! [SY658: $i] :
( ~ ( ssList @ SY658 )
| ! [SY659: $i] :
( ~ ( ssList @ SY659 )
| ~ ( rearsegP @ SV22 @ SY658 )
| ~ ( rearsegP @ SY658 @ SY659 )
| ( rearsegP @ SV22 @ SY659 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(341,plain,
! [SV23: $i] :
( ( ~ ( ssList @ SV23 )
| ! [SY660: $i] :
( ~ ( ssList @ SY660 )
| ~ ( rearsegP @ SV23 @ SY660 )
| ~ ( rearsegP @ SY660 @ SV23 )
| ( SV23 = SY660 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(342,plain,
! [SV24: $i] :
( ( ~ ( ssList @ SV24 )
| ( rearsegP @ SV24 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(343,plain,
! [SV25: $i] :
( ( ~ ( ssList @ SV25 )
| ! [SY661: $i] :
( ~ ( ssList @ SY661 )
| ! [SY662: $i] :
( ~ ( ssList @ SY662 )
| ~ ( rearsegP @ SV25 @ SY661 )
| ( rearsegP @ ( app @ SY662 @ SV25 ) @ SY661 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(344,plain,
! [SV26: $i] :
( ( ~ ( ssList @ SV26 )
| ( rearsegP @ SV26 @ nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(345,plain,
! [SV27: $i] :
( ( ~ ( ssList @ SV27 )
| ! [SY663: $i] :
( ~ ( ssList @ SY663 )
| ! [SY664: $i] :
( ~ ( ssList @ SY664 )
| ~ ( segmentP @ SV27 @ SY663 )
| ~ ( segmentP @ SY663 @ SY664 )
| ( segmentP @ SV27 @ SY664 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(346,plain,
! [SV28: $i] :
( ( ~ ( ssList @ SV28 )
| ! [SY665: $i] :
( ~ ( ssList @ SY665 )
| ~ ( segmentP @ SV28 @ SY665 )
| ~ ( segmentP @ SY665 @ SV28 )
| ( SV28 = SY665 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(347,plain,
! [SV29: $i] :
( ( ~ ( ssList @ SV29 )
| ( segmentP @ SV29 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(348,plain,
! [SV30: $i] :
( ( ~ ( ssList @ SV30 )
| ! [SY666: $i] :
( ~ ( ssList @ SY666 )
| ! [SY667: $i] :
( ~ ( ssList @ SY667 )
| ! [SY668: $i] :
( ~ ( ssList @ SY668 )
| ~ ( segmentP @ SV30 @ SY666 )
| ( segmentP @ ( app @ ( app @ SY667 @ SV30 ) @ SY668 ) @ SY666 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(349,plain,
! [SV31: $i] :
( ( ~ ( ssList @ SV31 )
| ( segmentP @ SV31 @ nil ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(350,plain,
! [SV32: $i] :
( ( ~ ( ssItem @ SV32 )
| ( cyclefreeP @ ( cons @ SV32 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(351,plain,
! [SV33: $i] :
( ( ~ ( ssItem @ SV33 )
| ( totalorderP @ ( cons @ SV33 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(352,plain,
! [SV34: $i] :
( ( ~ ( ssItem @ SV34 )
| ( strictorderP @ ( cons @ SV34 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(353,plain,
! [SV35: $i] :
( ( ~ ( ssItem @ SV35 )
| ( totalorderedP @ ( cons @ SV35 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(354,plain,
! [SV36: $i] :
( ( ~ ( ssItem @ SV36 )
| ( strictorderedP @ ( cons @ SV36 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(355,plain,
! [SV37: $i] :
( ( ~ ( ssItem @ SV37 )
| ( duplicatefreeP @ ( cons @ SV37 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(356,plain,
! [SV38: $i] :
( ( ~ ( ssItem @ SV38 )
| ( equalelemsP @ ( cons @ SV38 @ nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(357,plain,
! [SV39: $i] :
( ( ~ ( ssList @ SV39 )
| ! [SY669: $i] :
( ~ ( ssList @ SY669 )
| ( nil = SY669 )
| ( nil = SV39 )
| ( ( hd @ SY669 )
!= ( hd @ SV39 ) )
| ( ( tl @ SY669 )
!= ( tl @ SV39 ) )
| ( SY669 = SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(358,plain,
! [SV40: $i] :
( ( ~ ( ssList @ SV40 )
| ( nil = SV40 )
| ( ( cons @ ( hd @ SV40 ) @ ( tl @ SV40 ) )
= SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(359,plain,
! [SV41: $i] :
( ( ~ ( ssList @ SV41 )
| ! [SY670: $i] :
( ~ ( ssList @ SY670 )
| ! [SY671: $i] :
( ~ ( ssList @ SY671 )
| ( ( app @ SY671 @ SY670 )
!= ( app @ SV41 @ SY670 ) )
| ( SY671 = SV41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(360,plain,
! [SV42: $i] :
( ( ~ ( ssList @ SV42 )
| ! [SY672: $i] :
( ~ ( ssList @ SY672 )
| ! [SY673: $i] :
( ~ ( ssList @ SY673 )
| ( ( app @ SY672 @ SY673 )
!= ( app @ SY672 @ SV42 ) )
| ( SY673 = SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(361,plain,
! [SV43: $i] :
( ( ~ ( ssList @ SV43 )
| ! [SY674: $i] :
( ~ ( ssItem @ SY674 )
| ( ( cons @ SY674 @ SV43 )
= ( app @ ( cons @ SY674 @ nil ) @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(362,plain,
! [SV44: $i] :
( ( ~ ( ssList @ SV44 )
| ! [SY675: $i] :
( ~ ( ssList @ SY675 )
| ! [SY676: $i] :
( ~ ( ssList @ SY676 )
| ( ( app @ ( app @ SV44 @ SY675 ) @ SY676 )
= ( app @ SV44 @ ( app @ SY675 @ SY676 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(363,plain,
! [SV45: $i] :
( ( ~ ( ssList @ SV45 )
| ( ( app @ SV45 @ nil )
= SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(364,plain,
! [SV46: $i] :
( ( ~ ( ssList @ SV46 )
| ! [SY677: $i] :
( ~ ( ssList @ SY677 )
| ( nil = SV46 )
| ( ( hd @ ( app @ SV46 @ SY677 ) )
= ( hd @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(365,plain,
! [SV47: $i] :
( ( ~ ( ssList @ SV47 )
| ! [SY678: $i] :
( ~ ( ssList @ SY678 )
| ( nil = SV47 )
| ( ( tl @ ( app @ SV47 @ SY678 ) )
= ( app @ ( tl @ SV47 ) @ SY678 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(366,plain,
! [SV48: $i] :
( ( ~ ( ssItem @ SV48 )
| ! [SY679: $i] :
( ~ ( ssItem @ SY679 )
| ~ ( geq @ SV48 @ SY679 )
| ~ ( geq @ SY679 @ SV48 )
| ( SV48 = SY679 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(367,plain,
! [SV49: $i] :
( ( ~ ( ssItem @ SV49 )
| ! [SY680: $i] :
( ~ ( ssItem @ SY680 )
| ! [SY681: $i] :
( ~ ( ssItem @ SY681 )
| ~ ( geq @ SV49 @ SY680 )
| ~ ( geq @ SY680 @ SY681 )
| ( geq @ SV49 @ SY681 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(368,plain,
! [SV50: $i] :
( ( ~ ( ssItem @ SV50 )
| ( geq @ SV50 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(369,plain,
! [SV51: $i] :
( ( ~ ( ssItem @ SV51 )
| ~ ( lt @ SV51 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(370,plain,
! [SV52: $i] :
( ( ~ ( ssItem @ SV52 )
| ! [SY682: $i] :
( ~ ( ssItem @ SY682 )
| ! [SY683: $i] :
( ~ ( ssItem @ SY683 )
| ~ ( leq @ SV52 @ SY682 )
| ~ ( lt @ SY682 @ SY683 )
| ( lt @ SV52 @ SY683 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(371,plain,
! [SV53: $i] :
( ( ~ ( ssItem @ SV53 )
| ! [SY684: $i] :
( ~ ( ssItem @ SY684 )
| ~ ( leq @ SV53 @ SY684 )
| ( SV53 = SY684 )
| ( lt @ SV53 @ SY684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(372,plain,
! [SV54: $i] :
( ( ~ ( ssItem @ SV54 )
| ! [SY685: $i] :
( ~ ( ssItem @ SY685 )
| ~ ( gt @ SV54 @ SY685 )
| ~ ( gt @ SY685 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(373,plain,
! [SV55: $i] :
( ( ~ ( ssItem @ SV55 )
| ! [SY686: $i] :
( ~ ( ssItem @ SY686 )
| ! [SY687: $i] :
( ~ ( ssItem @ SY687 )
| ~ ( gt @ SV55 @ SY686 )
| ~ ( gt @ SY686 @ SY687 )
| ( gt @ SV55 @ SY687 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(374,plain,
! [SV56: $i] :
( ( ~ ( ssList @ SV56 )
| ( nil = SV56 )
| ~ ( ( ( hd @ SV56 )
!= ( sK6_V @ SV56 ) )
| ~ ( ssItem @ ( sK6_V @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(375,plain,
! [SV57: $i] :
( ( ~ ( ssItem @ SV57 )
| ! [SY688: $i] :
( ~ ( ssItem @ SY688 )
| ! [SY689: $i] :
( ~ ( ssList @ SY689 )
| ~ ( ~ ! [SY690: $i] :
( ~ ( ssList @ SY690 )
| ( SV57 != SY688 )
| ~ ( frontsegP @ SY689 @ SY690 )
| ( frontsegP @ ( cons @ SV57 @ SY689 ) @ ( cons @ SY688 @ SY690 ) ) )
| ~ ~ ( ~ ! [SY691: $i] :
( ~ ( ssList @ SY691 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY689 ) @ ( cons @ SY688 @ SY691 ) )
| ( SV57 = SY688 ) )
| ~ ! [SY692: $i] :
( ~ ( ssList @ SY692 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY689 ) @ ( cons @ SY688 @ SY692 ) )
| ( frontsegP @ SY689 @ SY692 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(376,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK28_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK29_SY606 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SX0 ) @ ( cons @ ( sK28_V @ SX0 ) @ ( sK31_SY613 @ SX0 ) ) ) @ ( cons @ ( sK29_SY606 @ SX0 ) @ ( sK32_SY615 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SX0 ) @ ( sK29_SY606 @ SX0 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SX0 ) @ ( sK28_V @ SX0 ) ) ) ) ) ) ) ) )
| ( strictorderP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( strictorderP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( lt @ SX1 @ SX2 )
| ( lt @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(377,plain,
! [SV58: $i] :
( ( ~ ( ssList @ SV58 )
| ~ ( ~ ! [SY693: $i] :
( ~ ( ssItem @ SY693 )
| ! [SY694: $i] :
( ! [SY695: $i] :
( ( ( app @ SY694 @ ( cons @ SY693 @ SY695 ) )
!= SV58 )
| ~ ( ssList @ SY695 ) )
| ~ ( ssList @ SY694 ) )
| ( memberP @ SV58 @ SY693 ) )
| ~ ! [SY696: $i] :
( ~ ( ssItem @ SY696 )
| ~ ( memberP @ SV58 @ SY696 )
| ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SY696 @ SV58 ) @ ( cons @ SY696 @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SY696 @ SV58 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(378,plain,
! [SV59: $i] :
( ( ~ ( ssItem @ SV59 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) )
| ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) )
| ~ ! [SY699: $i] :
( ~ ( ssList @ SY699 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY699 ) )
| ( leq @ SV59 @ ( hd @ SY699 ) )
| ( nil = SY699 ) ) )
| ~ ~ ( ~ ! [SY700: $i] :
( ~ ( ssList @ SY700 )
| ( nil = SY700 )
| ~ ( totalorderedP @ SY700 )
| ~ ( leq @ SV59 @ ( hd @ SY700 ) )
| ( totalorderedP @ ( cons @ SV59 @ SY700 ) ) )
| ~ ! [SY701: $i] :
( ~ ( ssList @ SY701 )
| ( nil != SY701 )
| ( totalorderedP @ ( cons @ SV59 @ SY701 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(379,plain,
! [SV60: $i] :
( ( ~ ( ssItem @ SV60 )
| ~ ( ~ ! [SY702: $i] :
( ~ ( ssItem @ SY702 )
| ~ ( gt @ SV60 @ SY702 )
| ( lt @ SY702 @ SV60 ) )
| ~ ! [SY703: $i] :
( ~ ( ssItem @ SY703 )
| ~ ( lt @ SY703 @ SV60 )
| ( gt @ SV60 @ SY703 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(380,plain,
! [SV61: $i] :
( ( ~ ( ssList @ SV61 )
| ~ ( ~ ! [SY704: $i] :
( ~ ( ssList @ SY704 )
| ! [SY705: $i] :
( ( ( app @ SY704 @ SY705 )
!= SV61 )
| ~ ( ssList @ SY705 ) )
| ( frontsegP @ SV61 @ SY704 ) )
| ~ ! [SY706: $i] :
( ~ ( ssList @ SY706 )
| ~ ( frontsegP @ SV61 @ SY706 )
| ~ ( ( ( app @ SY706 @ ( sK46_W @ SY706 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SY706 @ SV61 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(381,plain,
! [SV62: $i] :
( ( ~ ( ssItem @ SV62 )
| ~ ( ~ ! [SY707: $i] :
( ~ ( ssItem @ SY707 )
| ~ ( geq @ SV62 @ SY707 )
| ( leq @ SY707 @ SV62 ) )
| ~ ! [SY708: $i] :
( ~ ( ssItem @ SY708 )
| ~ ( leq @ SY708 @ SV62 )
| ( geq @ SV62 @ SY708 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(382,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK9_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK10_SY570 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SX0 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SX0 ) @ ( cons @ ( sK9_V @ SX0 ) @ ( cons @ ( sK10_SY570 @ SX0 ) @ ( sK12_SY575 @ SX0 ) ) ) )
!= SX0 )
| ~ ( ( ( sK9_V @ SX0 )
!= ( sK10_SY570 @ SX0 ) ) ) ) ) ) ) )
| ( equalelemsP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( equalelemsP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ( ( app @ SX3 @ ( cons @ SX1 @ ( cons @ SX2 @ SX4 ) ) )
!= SX0 )
| ( SX1 = SX2 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(383,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK33_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK34_SY616 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SX0 ) @ ( cons @ ( sK33_V @ SX0 ) @ ( sK36_SY623 @ SX0 ) ) ) @ ( cons @ ( sK34_SY616 @ SX0 ) @ ( sK37_SY625 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SX0 ) @ ( sK34_SY616 @ SX0 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SX0 ) @ ( sK33_V @ SX0 ) ) ) ) ) ) ) ) )
| ( totalorderP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( totalorderP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( leq @ SX1 @ SX2 )
| ( leq @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(384,plain,
( ( ~ ~ ( ~ ( ( sK50_U != sK51_SY638 ) )
| ~ ( ssItem @ sK51_SY638 ) )
| ~ ( ssItem @ sK50_U ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(385,plain,
! [SV63: $i] :
( ( ~ ( ssList @ SV63 )
| ~ ( ~ ! [SY709: $i] :
( ~ ( ssList @ SY709 )
| ( SV63 = SY709 )
| ( neq @ SV63 @ SY709 ) )
| ~ ! [SY710: $i] :
( ~ ( ssList @ SY710 )
| ~ ( neq @ SV63 @ SY710 )
| ( SV63 != SY710 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(386,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK13_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK14_SY576 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SX0 ) @ ( cons @ ( sK13_V @ SX0 ) @ ( sK16_SY583 @ SX0 ) ) ) @ ( cons @ ( sK14_SY576 @ SX0 ) @ ( sK17_SY585 @ SX0 ) ) )
!= SX0 )
| ( ( sK13_V @ SX0 )
!= ( sK14_SY576 @ SX0 ) ) ) ) ) ) ) )
| ( duplicatefreeP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( duplicatefreeP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( SX1 != SX2 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(387,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK18_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK19_SY586 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SX0 ) @ ( cons @ ( sK18_V @ SX0 ) @ ( sK21_SY593 @ SX0 ) ) ) @ ( cons @ ( sK19_SY586 @ SX0 ) @ ( sK22_SY595 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( lt @ ( sK18_V @ SX0 ) @ ( sK19_SY586 @ SX0 ) ) ) ) ) ) ) )
| ( strictorderedP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( strictorderedP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( lt @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(388,plain,
! [SV64: $i] :
( ( ~ ( ssList @ SV64 )
| ! [SY711: $i] :
( ~ ( ssList @ SY711 )
| ! [SY712: $i] :
( ~ ( ssItem @ SY712 )
| ~ ( ~ ! [SY713: $i] :
( ~ ( ssItem @ SY713 )
| ( ( cons @ SY712 @ SV64 )
!= ( cons @ SY713 @ SY711 ) )
| ( SY712 = SY713 ) )
| ~ ! [SY714: $i] :
( ~ ( ssItem @ SY714 )
| ( ( cons @ SY712 @ SV64 )
!= ( cons @ SY714 @ SY711 ) )
| ( SY711 = SV64 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(389,plain,
! [SV65: $i] :
( ( ~ ( ssItem @ SV65 )
| ~ ( ~ ! [SY715: $i] :
( ~ ( ssItem @ SY715 )
| ( SV65 = SY715 )
| ~ ( leq @ SV65 @ SY715 )
| ( lt @ SV65 @ SY715 ) )
| ~ ~ ( ~ ! [SY716: $i] :
( ~ ( ssItem @ SY716 )
| ~ ( lt @ SV65 @ SY716 )
| ( SV65 != SY716 ) )
| ~ ! [SY717: $i] :
( ~ ( ssItem @ SY717 )
| ~ ( lt @ SV65 @ SY717 )
| ( leq @ SV65 @ SY717 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(390,plain,
! [SV66: $i] :
( ( ~ ( ssList @ SV66 )
| ~ ( ~ ! [SY718: $i] :
( ~ ( ssList @ SY718 )
| ! [SY719: $i] :
( ( ( app @ SY719 @ SY718 )
!= SV66 )
| ~ ( ssList @ SY719 ) )
| ( rearsegP @ SV66 @ SY718 ) )
| ~ ! [SY720: $i] :
( ~ ( ssList @ SY720 )
| ~ ( rearsegP @ SV66 @ SY720 )
| ~ ( ( ( app @ ( sK45_W @ SY720 @ SV66 ) @ SY720 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SY720 @ SV66 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(391,plain,
! [SV67: $i] :
( ( ~ ( ssList @ SV67 )
| ( nil = SV67 )
| ~ ( ~ ~ ( ( ( cons @ ( sK8_SY569 @ SV67 ) @ ( sK7_V @ SV67 ) )
!= SV67 )
| ~ ( ssItem @ ( sK8_SY569 @ SV67 ) ) )
| ~ ( ssList @ ( sK7_V @ SV67 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(392,plain,
! [SV68: $i] :
( ( ~ ( ssList @ SV68 )
| ~ ( ~ ! [SY721: $i] :
( ~ ( ssList @ SY721 )
| ( nil != SY721 )
| ( nil != SV68 )
| ( nil
= ( app @ SV68 @ SY721 ) ) )
| ~ ~ ( ~ ! [SY722: $i] :
( ~ ( ssList @ SY722 )
| ( nil
!= ( app @ SV68 @ SY722 ) )
| ( nil = SY722 ) )
| ~ ! [SY723: $i] :
( ~ ( ssList @ SY723 )
| ( nil
!= ( app @ SV68 @ SY723 ) )
| ( nil = SV68 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(393,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( cons @ SX1 @ nil )
!= SX0 )
| ~ ( ssItem @ SX1 ) )
| ( singletonP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( singletonP @ SX0 )
| ~ ( ( ( cons @ ( sK47_V @ SX0 ) @ nil )
!= SX0 )
| ~ ( ssItem @ ( sK47_V @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(394,plain,
! [SV69: $i] :
( ( ~ ( ssItem @ SV69 )
| ! [SY724: $i] :
( ~ ( ssItem @ SY724 )
| ~ ( ~ ! [SY725: $i] :
( ~ ( ssList @ SY725 )
| ~ ( memberP @ ( cons @ SY724 @ SY725 ) @ SV69 )
| ( SV69 = SY724 )
| ( memberP @ SY725 @ SV69 ) )
| ~ ~ ( ~ ! [SY726: $i] :
( ~ ( ssList @ SY726 )
| ( SV69 != SY724 )
| ( memberP @ ( cons @ SY724 @ SY726 ) @ SV69 ) )
| ~ ! [SY727: $i] :
( ~ ( ssList @ SY727 )
| ~ ( memberP @ SY727 @ SV69 )
| ( memberP @ ( cons @ SY724 @ SY727 ) @ SV69 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(395,plain,
! [SV70: $i] :
( ( ~ ( ssList @ SV70 )
| ~ ( ~ ! [SY728: $i] :
( ~ ( ssList @ SY728 )
| ! [SY729: $i] :
( ! [SY730: $i] :
( ( ( app @ ( app @ SY729 @ SY728 ) @ SY730 )
!= SV70 )
| ~ ( ssList @ SY730 ) )
| ~ ( ssList @ SY729 ) )
| ( segmentP @ SV70 @ SY728 ) )
| ~ ! [SY731: $i] :
( ~ ( ssList @ SY731 )
| ~ ( segmentP @ SV70 @ SY731 )
| ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SY731 @ SV70 ) @ SY731 ) @ ( sK44_SY636 @ SY731 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SY731 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SY731 @ SV70 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(396,plain,
! [SV71: $i] :
( ( ~ ( ssItem @ SV71 )
| ~ ( ~ ! [SY732: $i] :
( ~ ( ssItem @ SY732 )
| ( SV71 = SY732 )
| ( neq @ SV71 @ SY732 ) )
| ~ ! [SY733: $i] :
( ~ ( ssItem @ SY733 )
| ~ ( neq @ SV71 @ SY733 )
| ( SV71 != SY733 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(397,plain,
! [SV72: $i] :
( ( ~ ( ssItem @ SV72 )
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) )
| ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) )
| ~ ! [SY736: $i] :
( ~ ( ssList @ SY736 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY736 ) )
| ( lt @ SV72 @ ( hd @ SY736 ) )
| ( nil = SY736 ) ) )
| ~ ~ ( ~ ! [SY737: $i] :
( ~ ( ssList @ SY737 )
| ( nil = SY737 )
| ~ ( strictorderedP @ SY737 )
| ~ ( lt @ SV72 @ ( hd @ SY737 ) )
| ( strictorderedP @ ( cons @ SV72 @ SY737 ) ) )
| ~ ! [SY738: $i] :
( ~ ( ssList @ SY738 )
| ( nil != SY738 )
| ( strictorderedP @ ( cons @ SV72 @ SY738 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(398,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( rearsegP @ nil @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( rearsegP @ nil @ SX0 )
| ( nil = SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(399,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( frontsegP @ nil @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( frontsegP @ nil @ SX0 )
| ( nil = SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(400,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK38_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK39_SY626 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SX0 ) @ ( cons @ ( sK38_V @ SX0 ) @ ( sK41_SY633 @ SX0 ) ) ) @ ( cons @ ( sK39_SY626 @ SX0 ) @ ( sK42_SY635 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SX0 ) @ ( sK39_SY626 @ SX0 ) )
| ~ ( leq @ ( sK39_SY626 @ SX0 ) @ ( sK38_V @ SX0 ) ) ) ) ) ) ) ) )
| ( cyclefreeP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( cyclefreeP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ~ ( leq @ SX1 @ SX2 )
| ~ ( leq @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(401,plain,
( ( ~ ( ssList @ sK2_SY549 )
| ~ ~ ( ~ ( ssList @ sK3_SY554 )
| ~ ~ ( ~ ( ssList @ sK4_SY560 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(402,plain,
! [SV73: $i] :
( ( ~ ( ssItem @ SV73 )
| ! [SY739: $i] :
( ~ ( ssList @ SY739 )
| ~ ( ~ ! [SY740: $i] :
( ~ ( ssList @ SY740 )
| ~ ( memberP @ ( app @ SY739 @ SY740 ) @ SV73 )
| ( memberP @ SY739 @ SV73 )
| ( memberP @ SY740 @ SV73 ) )
| ~ ~ ( ~ ! [SY741: $i] :
( ~ ( ssList @ SY741 )
| ~ ( memberP @ SY739 @ SV73 )
| ( memberP @ ( app @ SY739 @ SY741 ) @ SV73 ) )
| ~ ! [SY742: $i] :
( ~ ( ssList @ SY742 )
| ~ ( memberP @ SY742 @ SV73 )
| ( memberP @ ( app @ SY739 @ SY742 ) @ SV73 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(403,plain,
! [SV74: $i] :
( ( ~ ( ssList @ SV74 )
| ( nil = SV74 )
| ~ ( ( ( tl @ SV74 )
!= ( sK5_V @ SV74 ) )
| ~ ( ssList @ ( sK5_V @ SV74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(404,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK23_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK24_SY596 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SX0 ) @ ( cons @ ( sK23_V @ SX0 ) @ ( sK26_SY603 @ SX0 ) ) ) @ ( cons @ ( sK24_SY596 @ SX0 ) @ ( sK27_SY605 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( leq @ ( sK23_V @ SX0 ) @ ( sK24_SY596 @ SX0 ) ) ) ) ) ) ) )
| ( totalorderedP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( totalorderedP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( leq @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(405,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( segmentP @ nil @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( segmentP @ nil @ SX0 )
| ( nil = SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(406,plain,
! [SV1: $i] :
( ( ( ~ ( ssList @ SV1 ) )
= $true )
| ( ( ! [SY639: $i] :
( ~ ( ssItem @ SY639 )
| ( ssList @ ( cons @ SY639 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(407,plain,
! [SV2: $i] :
( ( ( ~ ( ssList @ SV2 ) )
= $true )
| ( ( ! [SY640: $i] :
( ~ ( ssItem @ SY640 )
| ( ( cons @ SY640 @ SV2 )
!= SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(408,plain,
! [SV3: $i] :
( ( ( ~ ( ssList @ SV3 ) )
= $true )
| ( ( ! [SY641: $i] :
( ~ ( ssItem @ SY641 )
| ( nil
!= ( cons @ SY641 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(409,plain,
! [SV4: $i] :
( ( ( ~ ( ssList @ SV4 ) )
= $true )
| ( ( ( nil = SV4 )
| ( ssItem @ ( hd @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(410,plain,
! [SV5: $i] :
( ( ( ~ ( ssList @ SV5 ) )
= $true )
| ( ( ! [SY642: $i] :
( ~ ( ssItem @ SY642 )
| ( ( hd @ ( cons @ SY642 @ SV5 ) )
= SY642 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(411,plain,
! [SV6: $i] :
( ( ( ~ ( ssList @ SV6 ) )
= $true )
| ( ( ( nil = SV6 )
| ( ssList @ ( tl @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(412,plain,
! [SV7: $i] :
( ( ( ~ ( ssList @ SV7 ) )
= $true )
| ( ( ! [SY643: $i] :
( ~ ( ssItem @ SY643 )
| ( ( tl @ ( cons @ SY643 @ SV7 ) )
= SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(413,plain,
! [SV8: $i] :
( ( ( ~ ( ssList @ SV8 ) )
= $true )
| ( ( ! [SY644: $i] :
( ~ ( ssList @ SY644 )
| ( ssList @ ( app @ SV8 @ SY644 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(414,plain,
! [SV9: $i] :
( ( ( ~ ( ssList @ SV9 ) )
= $true )
| ( ( ! [SY645: $i] :
( ~ ( ssList @ SY645 )
| ! [SY646: $i] :
( ~ ( ssItem @ SY646 )
| ( ( cons @ SY646 @ ( app @ SY645 @ SV9 ) )
= ( app @ ( cons @ SY646 @ SY645 ) @ SV9 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(415,plain,
! [SV10: $i] :
( ( ( ~ ( ssList @ SV10 ) )
= $true )
| ( ( ( app @ nil @ SV10 )
= SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(416,plain,
! [SV11: $i] :
( ( ( ~ ( ssItem @ SV11 ) )
= $true )
| ( ( ! [SY647: $i] :
( ~ ( ssItem @ SY647 )
| ~ ( leq @ SV11 @ SY647 )
| ~ ( leq @ SY647 @ SV11 )
| ( SV11 = SY647 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(417,plain,
! [SV12: $i] :
( ( ( ~ ( ssItem @ SV12 ) )
= $true )
| ( ( ! [SY648: $i] :
( ~ ( ssItem @ SY648 )
| ! [SY649: $i] :
( ~ ( ssItem @ SY649 )
| ~ ( leq @ SV12 @ SY648 )
| ~ ( leq @ SY648 @ SY649 )
| ( leq @ SV12 @ SY649 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(418,plain,
! [SV13: $i] :
( ( ( ~ ( ssItem @ SV13 ) )
= $true )
| ( ( leq @ SV13 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(419,plain,
! [SV14: $i] :
( ( ( ~ ( ssItem @ SV14 ) )
= $true )
| ( ( ! [SY650: $i] :
( ~ ( ssItem @ SY650 )
| ~ ( lt @ SV14 @ SY650 )
| ~ ( lt @ SY650 @ SV14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(420,plain,
! [SV15: $i] :
( ( ( ~ ( ssItem @ SV15 ) )
= $true )
| ( ( ! [SY651: $i] :
( ~ ( ssItem @ SY651 )
| ! [SY652: $i] :
( ~ ( ssItem @ SY652 )
| ~ ( lt @ SV15 @ SY651 )
| ~ ( lt @ SY651 @ SY652 )
| ( lt @ SV15 @ SY652 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(421,plain,
! [SV16: $i] :
( ( ( ~ ( ssItem @ SV16 ) )
= $true )
| ( ( ~ ( memberP @ nil @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(422,plain,
! [SV17: $i] :
( ( ( ~ ( ssList @ SV17 ) )
= $true )
| ( ( ! [SY653: $i] :
( ~ ( ssList @ SY653 )
| ! [SY654: $i] :
( ~ ( ssList @ SY654 )
| ~ ( frontsegP @ SV17 @ SY653 )
| ~ ( frontsegP @ SY653 @ SY654 )
| ( frontsegP @ SV17 @ SY654 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(423,plain,
! [SV18: $i] :
( ( ( ~ ( ssList @ SV18 ) )
= $true )
| ( ( ! [SY655: $i] :
( ~ ( ssList @ SY655 )
| ~ ( frontsegP @ SV18 @ SY655 )
| ~ ( frontsegP @ SY655 @ SV18 )
| ( SV18 = SY655 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(424,plain,
! [SV19: $i] :
( ( ( ~ ( ssList @ SV19 ) )
= $true )
| ( ( frontsegP @ SV19 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(425,plain,
! [SV20: $i] :
( ( ( ~ ( ssList @ SV20 ) )
= $true )
| ( ( ! [SY656: $i] :
( ~ ( ssList @ SY656 )
| ! [SY657: $i] :
( ~ ( ssList @ SY657 )
| ~ ( frontsegP @ SV20 @ SY656 )
| ( frontsegP @ ( app @ SV20 @ SY657 ) @ SY656 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(426,plain,
! [SV21: $i] :
( ( ( ~ ( ssList @ SV21 ) )
= $true )
| ( ( frontsegP @ SV21 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(427,plain,
! [SV22: $i] :
( ( ( ~ ( ssList @ SV22 ) )
= $true )
| ( ( ! [SY658: $i] :
( ~ ( ssList @ SY658 )
| ! [SY659: $i] :
( ~ ( ssList @ SY659 )
| ~ ( rearsegP @ SV22 @ SY658 )
| ~ ( rearsegP @ SY658 @ SY659 )
| ( rearsegP @ SV22 @ SY659 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(428,plain,
! [SV23: $i] :
( ( ( ~ ( ssList @ SV23 ) )
= $true )
| ( ( ! [SY660: $i] :
( ~ ( ssList @ SY660 )
| ~ ( rearsegP @ SV23 @ SY660 )
| ~ ( rearsegP @ SY660 @ SV23 )
| ( SV23 = SY660 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(429,plain,
! [SV24: $i] :
( ( ( ~ ( ssList @ SV24 ) )
= $true )
| ( ( rearsegP @ SV24 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(430,plain,
! [SV25: $i] :
( ( ( ~ ( ssList @ SV25 ) )
= $true )
| ( ( ! [SY661: $i] :
( ~ ( ssList @ SY661 )
| ! [SY662: $i] :
( ~ ( ssList @ SY662 )
| ~ ( rearsegP @ SV25 @ SY661 )
| ( rearsegP @ ( app @ SY662 @ SV25 ) @ SY661 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(431,plain,
! [SV26: $i] :
( ( ( ~ ( ssList @ SV26 ) )
= $true )
| ( ( rearsegP @ SV26 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(432,plain,
! [SV27: $i] :
( ( ( ~ ( ssList @ SV27 ) )
= $true )
| ( ( ! [SY663: $i] :
( ~ ( ssList @ SY663 )
| ! [SY664: $i] :
( ~ ( ssList @ SY664 )
| ~ ( segmentP @ SV27 @ SY663 )
| ~ ( segmentP @ SY663 @ SY664 )
| ( segmentP @ SV27 @ SY664 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(433,plain,
! [SV28: $i] :
( ( ( ~ ( ssList @ SV28 ) )
= $true )
| ( ( ! [SY665: $i] :
( ~ ( ssList @ SY665 )
| ~ ( segmentP @ SV28 @ SY665 )
| ~ ( segmentP @ SY665 @ SV28 )
| ( SV28 = SY665 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(434,plain,
! [SV29: $i] :
( ( ( ~ ( ssList @ SV29 ) )
= $true )
| ( ( segmentP @ SV29 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(435,plain,
! [SV30: $i] :
( ( ( ~ ( ssList @ SV30 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( ssList @ SY666 )
| ! [SY667: $i] :
( ~ ( ssList @ SY667 )
| ! [SY668: $i] :
( ~ ( ssList @ SY668 )
| ~ ( segmentP @ SV30 @ SY666 )
| ( segmentP @ ( app @ ( app @ SY667 @ SV30 ) @ SY668 ) @ SY666 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(436,plain,
! [SV31: $i] :
( ( ( ~ ( ssList @ SV31 ) )
= $true )
| ( ( segmentP @ SV31 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(437,plain,
! [SV32: $i] :
( ( ( ~ ( ssItem @ SV32 ) )
= $true )
| ( ( cyclefreeP @ ( cons @ SV32 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(438,plain,
! [SV33: $i] :
( ( ( ~ ( ssItem @ SV33 ) )
= $true )
| ( ( totalorderP @ ( cons @ SV33 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(439,plain,
! [SV34: $i] :
( ( ( ~ ( ssItem @ SV34 ) )
= $true )
| ( ( strictorderP @ ( cons @ SV34 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(440,plain,
! [SV35: $i] :
( ( ( ~ ( ssItem @ SV35 ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV35 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(441,plain,
! [SV36: $i] :
( ( ( ~ ( ssItem @ SV36 ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV36 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(442,plain,
! [SV37: $i] :
( ( ( ~ ( ssItem @ SV37 ) )
= $true )
| ( ( duplicatefreeP @ ( cons @ SV37 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(443,plain,
! [SV38: $i] :
( ( ( ~ ( ssItem @ SV38 ) )
= $true )
| ( ( equalelemsP @ ( cons @ SV38 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(444,plain,
! [SV39: $i] :
( ( ( ~ ( ssList @ SV39 ) )
= $true )
| ( ( ! [SY669: $i] :
( ~ ( ssList @ SY669 )
| ( nil = SY669 )
| ( nil = SV39 )
| ( ( hd @ SY669 )
!= ( hd @ SV39 ) )
| ( ( tl @ SY669 )
!= ( tl @ SV39 ) )
| ( SY669 = SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(445,plain,
! [SV40: $i] :
( ( ( ~ ( ssList @ SV40 ) )
= $true )
| ( ( ( nil = SV40 )
| ( ( cons @ ( hd @ SV40 ) @ ( tl @ SV40 ) )
= SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(446,plain,
! [SV41: $i] :
( ( ( ~ ( ssList @ SV41 ) )
= $true )
| ( ( ! [SY670: $i] :
( ~ ( ssList @ SY670 )
| ! [SY671: $i] :
( ~ ( ssList @ SY671 )
| ( ( app @ SY671 @ SY670 )
!= ( app @ SV41 @ SY670 ) )
| ( SY671 = SV41 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(447,plain,
! [SV42: $i] :
( ( ( ~ ( ssList @ SV42 ) )
= $true )
| ( ( ! [SY672: $i] :
( ~ ( ssList @ SY672 )
| ! [SY673: $i] :
( ~ ( ssList @ SY673 )
| ( ( app @ SY672 @ SY673 )
!= ( app @ SY672 @ SV42 ) )
| ( SY673 = SV42 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(448,plain,
! [SV43: $i] :
( ( ( ~ ( ssList @ SV43 ) )
= $true )
| ( ( ! [SY674: $i] :
( ~ ( ssItem @ SY674 )
| ( ( cons @ SY674 @ SV43 )
= ( app @ ( cons @ SY674 @ nil ) @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(449,plain,
! [SV44: $i] :
( ( ( ~ ( ssList @ SV44 ) )
= $true )
| ( ( ! [SY675: $i] :
( ~ ( ssList @ SY675 )
| ! [SY676: $i] :
( ~ ( ssList @ SY676 )
| ( ( app @ ( app @ SV44 @ SY675 ) @ SY676 )
= ( app @ SV44 @ ( app @ SY675 @ SY676 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(450,plain,
! [SV45: $i] :
( ( ( ~ ( ssList @ SV45 ) )
= $true )
| ( ( ( app @ SV45 @ nil )
= SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(451,plain,
! [SV46: $i] :
( ( ( ~ ( ssList @ SV46 ) )
= $true )
| ( ( ! [SY677: $i] :
( ~ ( ssList @ SY677 )
| ( nil = SV46 )
| ( ( hd @ ( app @ SV46 @ SY677 ) )
= ( hd @ SV46 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(452,plain,
! [SV47: $i] :
( ( ( ~ ( ssList @ SV47 ) )
= $true )
| ( ( ! [SY678: $i] :
( ~ ( ssList @ SY678 )
| ( nil = SV47 )
| ( ( tl @ ( app @ SV47 @ SY678 ) )
= ( app @ ( tl @ SV47 ) @ SY678 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(453,plain,
! [SV48: $i] :
( ( ( ~ ( ssItem @ SV48 ) )
= $true )
| ( ( ! [SY679: $i] :
( ~ ( ssItem @ SY679 )
| ~ ( geq @ SV48 @ SY679 )
| ~ ( geq @ SY679 @ SV48 )
| ( SV48 = SY679 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(454,plain,
! [SV49: $i] :
( ( ( ~ ( ssItem @ SV49 ) )
= $true )
| ( ( ! [SY680: $i] :
( ~ ( ssItem @ SY680 )
| ! [SY681: $i] :
( ~ ( ssItem @ SY681 )
| ~ ( geq @ SV49 @ SY680 )
| ~ ( geq @ SY680 @ SY681 )
| ( geq @ SV49 @ SY681 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(455,plain,
! [SV50: $i] :
( ( ( ~ ( ssItem @ SV50 ) )
= $true )
| ( ( geq @ SV50 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(456,plain,
! [SV51: $i] :
( ( ( ~ ( ssItem @ SV51 ) )
= $true )
| ( ( ~ ( lt @ SV51 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(457,plain,
! [SV52: $i] :
( ( ( ~ ( ssItem @ SV52 ) )
= $true )
| ( ( ! [SY682: $i] :
( ~ ( ssItem @ SY682 )
| ! [SY683: $i] :
( ~ ( ssItem @ SY683 )
| ~ ( leq @ SV52 @ SY682 )
| ~ ( lt @ SY682 @ SY683 )
| ( lt @ SV52 @ SY683 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(458,plain,
! [SV53: $i] :
( ( ( ~ ( ssItem @ SV53 ) )
= $true )
| ( ( ! [SY684: $i] :
( ~ ( ssItem @ SY684 )
| ~ ( leq @ SV53 @ SY684 )
| ( SV53 = SY684 )
| ( lt @ SV53 @ SY684 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(459,plain,
! [SV54: $i] :
( ( ( ~ ( ssItem @ SV54 ) )
= $true )
| ( ( ! [SY685: $i] :
( ~ ( ssItem @ SY685 )
| ~ ( gt @ SV54 @ SY685 )
| ~ ( gt @ SY685 @ SV54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(460,plain,
! [SV55: $i] :
( ( ( ~ ( ssItem @ SV55 ) )
= $true )
| ( ( ! [SY686: $i] :
( ~ ( ssItem @ SY686 )
| ! [SY687: $i] :
( ~ ( ssItem @ SY687 )
| ~ ( gt @ SV55 @ SY686 )
| ~ ( gt @ SY686 @ SY687 )
| ( gt @ SV55 @ SY687 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(461,plain,
! [SV56: $i] :
( ( ( ~ ( ssList @ SV56 ) )
= $true )
| ( ( ( nil = SV56 )
| ~ ( ( ( hd @ SV56 )
!= ( sK6_V @ SV56 ) )
| ~ ( ssItem @ ( sK6_V @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(462,plain,
! [SV57: $i] :
( ( ( ~ ( ssItem @ SV57 ) )
= $true )
| ( ( ! [SY688: $i] :
( ~ ( ssItem @ SY688 )
| ! [SY689: $i] :
( ~ ( ssList @ SY689 )
| ~ ( ~ ! [SY690: $i] :
( ~ ( ssList @ SY690 )
| ( SV57 != SY688 )
| ~ ( frontsegP @ SY689 @ SY690 )
| ( frontsegP @ ( cons @ SV57 @ SY689 ) @ ( cons @ SY688 @ SY690 ) ) )
| ~ ~ ( ~ ! [SY691: $i] :
( ~ ( ssList @ SY691 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY689 ) @ ( cons @ SY688 @ SY691 ) )
| ( SV57 = SY688 ) )
| ~ ! [SY692: $i] :
( ~ ( ssList @ SY692 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY689 ) @ ( cons @ SY688 @ SY692 ) )
| ( frontsegP @ SY689 @ SY692 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(463,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK28_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK29_SY606 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SX0 ) @ ( cons @ ( sK28_V @ SX0 ) @ ( sK31_SY613 @ SX0 ) ) ) @ ( cons @ ( sK29_SY606 @ SX0 ) @ ( sK32_SY615 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SX0 ) @ ( sK29_SY606 @ SX0 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SX0 ) @ ( sK28_V @ SX0 ) ) ) ) ) ) ) ) )
| ( strictorderP @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(464,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( strictorderP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( lt @ SX1 @ SX2 )
| ( lt @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(465,plain,
! [SV58: $i] :
( ( ( ~ ( ssList @ SV58 ) )
= $true )
| ( ( ~ ( ~ ! [SY693: $i] :
( ~ ( ssItem @ SY693 )
| ! [SY694: $i] :
( ! [SY695: $i] :
( ( ( app @ SY694 @ ( cons @ SY693 @ SY695 ) )
!= SV58 )
| ~ ( ssList @ SY695 ) )
| ~ ( ssList @ SY694 ) )
| ( memberP @ SV58 @ SY693 ) )
| ~ ! [SY696: $i] :
( ~ ( ssItem @ SY696 )
| ~ ( memberP @ SV58 @ SY696 )
| ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SY696 @ SV58 ) @ ( cons @ SY696 @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SY696 @ SV58 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(466,plain,
! [SV59: $i] :
( ( ( ~ ( ssItem @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) )
| ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) )
| ~ ! [SY699: $i] :
( ~ ( ssList @ SY699 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY699 ) )
| ( leq @ SV59 @ ( hd @ SY699 ) )
| ( nil = SY699 ) ) )
| ~ ~ ( ~ ! [SY700: $i] :
( ~ ( ssList @ SY700 )
| ( nil = SY700 )
| ~ ( totalorderedP @ SY700 )
| ~ ( leq @ SV59 @ ( hd @ SY700 ) )
| ( totalorderedP @ ( cons @ SV59 @ SY700 ) ) )
| ~ ! [SY701: $i] :
( ~ ( ssList @ SY701 )
| ( nil != SY701 )
| ( totalorderedP @ ( cons @ SV59 @ SY701 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(467,plain,
! [SV60: $i] :
( ( ( ~ ( ssItem @ SV60 ) )
= $true )
| ( ( ~ ( ~ ! [SY702: $i] :
( ~ ( ssItem @ SY702 )
| ~ ( gt @ SV60 @ SY702 )
| ( lt @ SY702 @ SV60 ) )
| ~ ! [SY703: $i] :
( ~ ( ssItem @ SY703 )
| ~ ( lt @ SY703 @ SV60 )
| ( gt @ SV60 @ SY703 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(468,plain,
! [SV61: $i] :
( ( ( ~ ( ssList @ SV61 ) )
= $true )
| ( ( ~ ( ~ ! [SY704: $i] :
( ~ ( ssList @ SY704 )
| ! [SY705: $i] :
( ( ( app @ SY704 @ SY705 )
!= SV61 )
| ~ ( ssList @ SY705 ) )
| ( frontsegP @ SV61 @ SY704 ) )
| ~ ! [SY706: $i] :
( ~ ( ssList @ SY706 )
| ~ ( frontsegP @ SV61 @ SY706 )
| ~ ( ( ( app @ SY706 @ ( sK46_W @ SY706 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SY706 @ SV61 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(469,plain,
! [SV62: $i] :
( ( ( ~ ( ssItem @ SV62 ) )
= $true )
| ( ( ~ ( ~ ! [SY707: $i] :
( ~ ( ssItem @ SY707 )
| ~ ( geq @ SV62 @ SY707 )
| ( leq @ SY707 @ SV62 ) )
| ~ ! [SY708: $i] :
( ~ ( ssItem @ SY708 )
| ~ ( leq @ SY708 @ SV62 )
| ( geq @ SV62 @ SY708 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(470,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK9_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK10_SY570 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SX0 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SX0 ) @ ( cons @ ( sK9_V @ SX0 ) @ ( cons @ ( sK10_SY570 @ SX0 ) @ ( sK12_SY575 @ SX0 ) ) ) )
!= SX0 )
| ~ ( ( ( sK9_V @ SX0 )
!= ( sK10_SY570 @ SX0 ) ) ) ) ) ) ) )
| ( equalelemsP @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(471,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( equalelemsP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ( ( app @ SX3 @ ( cons @ SX1 @ ( cons @ SX2 @ SX4 ) ) )
!= SX0 )
| ( SX1 = SX2 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(472,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK33_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK34_SY616 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SX0 ) @ ( cons @ ( sK33_V @ SX0 ) @ ( sK36_SY623 @ SX0 ) ) ) @ ( cons @ ( sK34_SY616 @ SX0 ) @ ( sK37_SY625 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SX0 ) @ ( sK34_SY616 @ SX0 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SX0 ) @ ( sK33_V @ SX0 ) ) ) ) ) ) ) ) )
| ( totalorderP @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(473,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( totalorderP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( leq @ SX1 @ SX2 )
| ( leq @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[383]) ).
thf(474,plain,
( ( ~ ~ ( ~ ( ( sK50_U != sK51_SY638 ) )
| ~ ( ssItem @ sK51_SY638 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(475,plain,
( ( ~ ( ssItem @ sK50_U ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(476,plain,
! [SV63: $i] :
( ( ( ~ ( ssList @ SV63 ) )
= $true )
| ( ( ~ ( ~ ! [SY709: $i] :
( ~ ( ssList @ SY709 )
| ( SV63 = SY709 )
| ( neq @ SV63 @ SY709 ) )
| ~ ! [SY710: $i] :
( ~ ( ssList @ SY710 )
| ~ ( neq @ SV63 @ SY710 )
| ( SV63 != SY710 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(477,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK13_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK14_SY576 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SX0 ) @ ( cons @ ( sK13_V @ SX0 ) @ ( sK16_SY583 @ SX0 ) ) ) @ ( cons @ ( sK14_SY576 @ SX0 ) @ ( sK17_SY585 @ SX0 ) ) )
!= SX0 )
| ( ( sK13_V @ SX0 )
!= ( sK14_SY576 @ SX0 ) ) ) ) ) ) ) )
| ( duplicatefreeP @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(478,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( duplicatefreeP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( SX1 != SX2 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[386]) ).
thf(479,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK18_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK19_SY586 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SX0 ) @ ( cons @ ( sK18_V @ SX0 ) @ ( sK21_SY593 @ SX0 ) ) ) @ ( cons @ ( sK19_SY586 @ SX0 ) @ ( sK22_SY595 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( lt @ ( sK18_V @ SX0 ) @ ( sK19_SY586 @ SX0 ) ) ) ) ) ) ) )
| ( strictorderedP @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(480,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( strictorderedP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( lt @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(481,plain,
! [SV64: $i] :
( ( ( ~ ( ssList @ SV64 ) )
= $true )
| ( ( ! [SY711: $i] :
( ~ ( ssList @ SY711 )
| ! [SY712: $i] :
( ~ ( ssItem @ SY712 )
| ~ ( ~ ! [SY713: $i] :
( ~ ( ssItem @ SY713 )
| ( ( cons @ SY712 @ SV64 )
!= ( cons @ SY713 @ SY711 ) )
| ( SY712 = SY713 ) )
| ~ ! [SY714: $i] :
( ~ ( ssItem @ SY714 )
| ( ( cons @ SY712 @ SV64 )
!= ( cons @ SY714 @ SY711 ) )
| ( SY711 = SV64 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(482,plain,
! [SV65: $i] :
( ( ( ~ ( ssItem @ SV65 ) )
= $true )
| ( ( ~ ( ~ ! [SY715: $i] :
( ~ ( ssItem @ SY715 )
| ( SV65 = SY715 )
| ~ ( leq @ SV65 @ SY715 )
| ( lt @ SV65 @ SY715 ) )
| ~ ~ ( ~ ! [SY716: $i] :
( ~ ( ssItem @ SY716 )
| ~ ( lt @ SV65 @ SY716 )
| ( SV65 != SY716 ) )
| ~ ! [SY717: $i] :
( ~ ( ssItem @ SY717 )
| ~ ( lt @ SV65 @ SY717 )
| ( leq @ SV65 @ SY717 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(483,plain,
! [SV66: $i] :
( ( ( ~ ( ssList @ SV66 ) )
= $true )
| ( ( ~ ( ~ ! [SY718: $i] :
( ~ ( ssList @ SY718 )
| ! [SY719: $i] :
( ( ( app @ SY719 @ SY718 )
!= SV66 )
| ~ ( ssList @ SY719 ) )
| ( rearsegP @ SV66 @ SY718 ) )
| ~ ! [SY720: $i] :
( ~ ( ssList @ SY720 )
| ~ ( rearsegP @ SV66 @ SY720 )
| ~ ( ( ( app @ ( sK45_W @ SY720 @ SV66 ) @ SY720 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SY720 @ SV66 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(484,plain,
! [SV67: $i] :
( ( ( ~ ( ssList @ SV67 ) )
= $true )
| ( ( ( nil = SV67 )
| ~ ( ~ ~ ( ( ( cons @ ( sK8_SY569 @ SV67 ) @ ( sK7_V @ SV67 ) )
!= SV67 )
| ~ ( ssItem @ ( sK8_SY569 @ SV67 ) ) )
| ~ ( ssList @ ( sK7_V @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(485,plain,
! [SV68: $i] :
( ( ( ~ ( ssList @ SV68 ) )
= $true )
| ( ( ~ ( ~ ! [SY721: $i] :
( ~ ( ssList @ SY721 )
| ( nil != SY721 )
| ( nil != SV68 )
| ( nil
= ( app @ SV68 @ SY721 ) ) )
| ~ ~ ( ~ ! [SY722: $i] :
( ~ ( ssList @ SY722 )
| ( nil
!= ( app @ SV68 @ SY722 ) )
| ( nil = SY722 ) )
| ~ ! [SY723: $i] :
( ~ ( ssList @ SY723 )
| ( nil
!= ( app @ SV68 @ SY723 ) )
| ( nil = SV68 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(486,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( cons @ SX1 @ nil )
!= SX0 )
| ~ ( ssItem @ SX1 ) )
| ( singletonP @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(487,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( singletonP @ SX0 )
| ~ ( ( ( cons @ ( sK47_V @ SX0 ) @ nil )
!= SX0 )
| ~ ( ssItem @ ( sK47_V @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[393]) ).
thf(488,plain,
! [SV69: $i] :
( ( ( ~ ( ssItem @ SV69 ) )
= $true )
| ( ( ! [SY724: $i] :
( ~ ( ssItem @ SY724 )
| ~ ( ~ ! [SY725: $i] :
( ~ ( ssList @ SY725 )
| ~ ( memberP @ ( cons @ SY724 @ SY725 ) @ SV69 )
| ( SV69 = SY724 )
| ( memberP @ SY725 @ SV69 ) )
| ~ ~ ( ~ ! [SY726: $i] :
( ~ ( ssList @ SY726 )
| ( SV69 != SY724 )
| ( memberP @ ( cons @ SY724 @ SY726 ) @ SV69 ) )
| ~ ! [SY727: $i] :
( ~ ( ssList @ SY727 )
| ~ ( memberP @ SY727 @ SV69 )
| ( memberP @ ( cons @ SY724 @ SY727 ) @ SV69 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(489,plain,
! [SV70: $i] :
( ( ( ~ ( ssList @ SV70 ) )
= $true )
| ( ( ~ ( ~ ! [SY728: $i] :
( ~ ( ssList @ SY728 )
| ! [SY729: $i] :
( ! [SY730: $i] :
( ( ( app @ ( app @ SY729 @ SY728 ) @ SY730 )
!= SV70 )
| ~ ( ssList @ SY730 ) )
| ~ ( ssList @ SY729 ) )
| ( segmentP @ SV70 @ SY728 ) )
| ~ ! [SY731: $i] :
( ~ ( ssList @ SY731 )
| ~ ( segmentP @ SV70 @ SY731 )
| ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SY731 @ SV70 ) @ SY731 ) @ ( sK44_SY636 @ SY731 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SY731 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SY731 @ SV70 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(490,plain,
! [SV71: $i] :
( ( ( ~ ( ssItem @ SV71 ) )
= $true )
| ( ( ~ ( ~ ! [SY732: $i] :
( ~ ( ssItem @ SY732 )
| ( SV71 = SY732 )
| ( neq @ SV71 @ SY732 ) )
| ~ ! [SY733: $i] :
( ~ ( ssItem @ SY733 )
| ~ ( neq @ SV71 @ SY733 )
| ( SV71 != SY733 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(491,plain,
! [SV72: $i] :
( ( ( ~ ( ssItem @ SV72 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) )
| ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) )
| ~ ! [SY736: $i] :
( ~ ( ssList @ SY736 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY736 ) )
| ( lt @ SV72 @ ( hd @ SY736 ) )
| ( nil = SY736 ) ) )
| ~ ~ ( ~ ! [SY737: $i] :
( ~ ( ssList @ SY737 )
| ( nil = SY737 )
| ~ ( strictorderedP @ SY737 )
| ~ ( lt @ SV72 @ ( hd @ SY737 ) )
| ( strictorderedP @ ( cons @ SV72 @ SY737 ) ) )
| ~ ! [SY738: $i] :
( ~ ( ssList @ SY738 )
| ( nil != SY738 )
| ( strictorderedP @ ( cons @ SV72 @ SY738 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(492,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( rearsegP @ nil @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(493,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( rearsegP @ nil @ SX0 )
| ( nil = SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(494,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( frontsegP @ nil @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(495,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( frontsegP @ nil @ SX0 )
| ( nil = SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(496,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK38_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK39_SY626 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SX0 ) @ ( cons @ ( sK38_V @ SX0 ) @ ( sK41_SY633 @ SX0 ) ) ) @ ( cons @ ( sK39_SY626 @ SX0 ) @ ( sK42_SY635 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SX0 ) @ ( sK39_SY626 @ SX0 ) )
| ~ ( leq @ ( sK39_SY626 @ SX0 ) @ ( sK38_V @ SX0 ) ) ) ) ) ) ) ) )
| ( cyclefreeP @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[400]) ).
thf(497,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( cyclefreeP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ~ ( leq @ SX1 @ SX2 )
| ~ ( leq @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[400]) ).
thf(498,plain,
( ( ~ ( ssList @ sK2_SY549 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(499,plain,
( ( ~ ~ ( ~ ( ssList @ sK3_SY554 )
| ~ ~ ( ~ ( ssList @ sK4_SY560 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(500,plain,
! [SV73: $i] :
( ( ( ~ ( ssItem @ SV73 ) )
= $true )
| ( ( ! [SY739: $i] :
( ~ ( ssList @ SY739 )
| ~ ( ~ ! [SY740: $i] :
( ~ ( ssList @ SY740 )
| ~ ( memberP @ ( app @ SY739 @ SY740 ) @ SV73 )
| ( memberP @ SY739 @ SV73 )
| ( memberP @ SY740 @ SV73 ) )
| ~ ~ ( ~ ! [SY741: $i] :
( ~ ( ssList @ SY741 )
| ~ ( memberP @ SY739 @ SV73 )
| ( memberP @ ( app @ SY739 @ SY741 ) @ SV73 ) )
| ~ ! [SY742: $i] :
( ~ ( ssList @ SY742 )
| ~ ( memberP @ SY742 @ SV73 )
| ( memberP @ ( app @ SY739 @ SY742 ) @ SV73 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(501,plain,
! [SV74: $i] :
( ( ( ~ ( ssList @ SV74 ) )
= $true )
| ( ( ( nil = SV74 )
| ~ ( ( ( tl @ SV74 )
!= ( sK5_V @ SV74 ) )
| ~ ( ssList @ ( sK5_V @ SV74 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(502,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK23_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK24_SY596 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SX0 ) @ ( cons @ ( sK23_V @ SX0 ) @ ( sK26_SY603 @ SX0 ) ) ) @ ( cons @ ( sK24_SY596 @ SX0 ) @ ( sK27_SY605 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( leq @ ( sK23_V @ SX0 ) @ ( sK24_SY596 @ SX0 ) ) ) ) ) ) ) )
| ( totalorderedP @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(503,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( totalorderedP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( leq @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(504,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( segmentP @ nil @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(505,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( segmentP @ nil @ SX0 )
| ( nil = SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(506,plain,
! [SV1: $i] :
( ( ( ssList @ SV1 )
= $false )
| ( ( ! [SY639: $i] :
( ~ ( ssItem @ SY639 )
| ( ssList @ ( cons @ SY639 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(507,plain,
! [SV2: $i] :
( ( ( ssList @ SV2 )
= $false )
| ( ( ! [SY640: $i] :
( ~ ( ssItem @ SY640 )
| ( ( cons @ SY640 @ SV2 )
!= SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(508,plain,
! [SV3: $i] :
( ( ( ssList @ SV3 )
= $false )
| ( ( ! [SY641: $i] :
( ~ ( ssItem @ SY641 )
| ( nil
!= ( cons @ SY641 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(509,plain,
! [SV4: $i] :
( ( ( ssList @ SV4 )
= $false )
| ( ( ( nil = SV4 )
| ( ssItem @ ( hd @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(510,plain,
! [SV5: $i] :
( ( ( ssList @ SV5 )
= $false )
| ( ( ! [SY642: $i] :
( ~ ( ssItem @ SY642 )
| ( ( hd @ ( cons @ SY642 @ SV5 ) )
= SY642 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(511,plain,
! [SV6: $i] :
( ( ( ssList @ SV6 )
= $false )
| ( ( ( nil = SV6 )
| ( ssList @ ( tl @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(512,plain,
! [SV7: $i] :
( ( ( ssList @ SV7 )
= $false )
| ( ( ! [SY643: $i] :
( ~ ( ssItem @ SY643 )
| ( ( tl @ ( cons @ SY643 @ SV7 ) )
= SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(513,plain,
! [SV8: $i] :
( ( ( ssList @ SV8 )
= $false )
| ( ( ! [SY644: $i] :
( ~ ( ssList @ SY644 )
| ( ssList @ ( app @ SV8 @ SY644 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(514,plain,
! [SV9: $i] :
( ( ( ssList @ SV9 )
= $false )
| ( ( ! [SY645: $i] :
( ~ ( ssList @ SY645 )
| ! [SY646: $i] :
( ~ ( ssItem @ SY646 )
| ( ( cons @ SY646 @ ( app @ SY645 @ SV9 ) )
= ( app @ ( cons @ SY646 @ SY645 ) @ SV9 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(515,plain,
! [SV10: $i] :
( ( ( ssList @ SV10 )
= $false )
| ( ( ( app @ nil @ SV10 )
= SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(516,plain,
! [SV11: $i] :
( ( ( ssItem @ SV11 )
= $false )
| ( ( ! [SY647: $i] :
( ~ ( ssItem @ SY647 )
| ~ ( leq @ SV11 @ SY647 )
| ~ ( leq @ SY647 @ SV11 )
| ( SV11 = SY647 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(517,plain,
! [SV12: $i] :
( ( ( ssItem @ SV12 )
= $false )
| ( ( ! [SY648: $i] :
( ~ ( ssItem @ SY648 )
| ! [SY649: $i] :
( ~ ( ssItem @ SY649 )
| ~ ( leq @ SV12 @ SY648 )
| ~ ( leq @ SY648 @ SY649 )
| ( leq @ SV12 @ SY649 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(518,plain,
! [SV13: $i] :
( ( ( ssItem @ SV13 )
= $false )
| ( ( leq @ SV13 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(519,plain,
! [SV14: $i] :
( ( ( ssItem @ SV14 )
= $false )
| ( ( ! [SY650: $i] :
( ~ ( ssItem @ SY650 )
| ~ ( lt @ SV14 @ SY650 )
| ~ ( lt @ SY650 @ SV14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(520,plain,
! [SV15: $i] :
( ( ( ssItem @ SV15 )
= $false )
| ( ( ! [SY651: $i] :
( ~ ( ssItem @ SY651 )
| ! [SY652: $i] :
( ~ ( ssItem @ SY652 )
| ~ ( lt @ SV15 @ SY651 )
| ~ ( lt @ SY651 @ SY652 )
| ( lt @ SV15 @ SY652 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(521,plain,
! [SV16: $i] :
( ( ( ssItem @ SV16 )
= $false )
| ( ( ~ ( memberP @ nil @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(522,plain,
! [SV17: $i] :
( ( ( ssList @ SV17 )
= $false )
| ( ( ! [SY653: $i] :
( ~ ( ssList @ SY653 )
| ! [SY654: $i] :
( ~ ( ssList @ SY654 )
| ~ ( frontsegP @ SV17 @ SY653 )
| ~ ( frontsegP @ SY653 @ SY654 )
| ( frontsegP @ SV17 @ SY654 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(523,plain,
! [SV18: $i] :
( ( ( ssList @ SV18 )
= $false )
| ( ( ! [SY655: $i] :
( ~ ( ssList @ SY655 )
| ~ ( frontsegP @ SV18 @ SY655 )
| ~ ( frontsegP @ SY655 @ SV18 )
| ( SV18 = SY655 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(524,plain,
! [SV19: $i] :
( ( ( ssList @ SV19 )
= $false )
| ( ( frontsegP @ SV19 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(525,plain,
! [SV20: $i] :
( ( ( ssList @ SV20 )
= $false )
| ( ( ! [SY656: $i] :
( ~ ( ssList @ SY656 )
| ! [SY657: $i] :
( ~ ( ssList @ SY657 )
| ~ ( frontsegP @ SV20 @ SY656 )
| ( frontsegP @ ( app @ SV20 @ SY657 ) @ SY656 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(526,plain,
! [SV21: $i] :
( ( ( ssList @ SV21 )
= $false )
| ( ( frontsegP @ SV21 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(527,plain,
! [SV22: $i] :
( ( ( ssList @ SV22 )
= $false )
| ( ( ! [SY658: $i] :
( ~ ( ssList @ SY658 )
| ! [SY659: $i] :
( ~ ( ssList @ SY659 )
| ~ ( rearsegP @ SV22 @ SY658 )
| ~ ( rearsegP @ SY658 @ SY659 )
| ( rearsegP @ SV22 @ SY659 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(528,plain,
! [SV23: $i] :
( ( ( ssList @ SV23 )
= $false )
| ( ( ! [SY660: $i] :
( ~ ( ssList @ SY660 )
| ~ ( rearsegP @ SV23 @ SY660 )
| ~ ( rearsegP @ SY660 @ SV23 )
| ( SV23 = SY660 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(529,plain,
! [SV24: $i] :
( ( ( ssList @ SV24 )
= $false )
| ( ( rearsegP @ SV24 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(530,plain,
! [SV25: $i] :
( ( ( ssList @ SV25 )
= $false )
| ( ( ! [SY661: $i] :
( ~ ( ssList @ SY661 )
| ! [SY662: $i] :
( ~ ( ssList @ SY662 )
| ~ ( rearsegP @ SV25 @ SY661 )
| ( rearsegP @ ( app @ SY662 @ SV25 ) @ SY661 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(531,plain,
! [SV26: $i] :
( ( ( ssList @ SV26 )
= $false )
| ( ( rearsegP @ SV26 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(532,plain,
! [SV27: $i] :
( ( ( ssList @ SV27 )
= $false )
| ( ( ! [SY663: $i] :
( ~ ( ssList @ SY663 )
| ! [SY664: $i] :
( ~ ( ssList @ SY664 )
| ~ ( segmentP @ SV27 @ SY663 )
| ~ ( segmentP @ SY663 @ SY664 )
| ( segmentP @ SV27 @ SY664 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(533,plain,
! [SV28: $i] :
( ( ( ssList @ SV28 )
= $false )
| ( ( ! [SY665: $i] :
( ~ ( ssList @ SY665 )
| ~ ( segmentP @ SV28 @ SY665 )
| ~ ( segmentP @ SY665 @ SV28 )
| ( SV28 = SY665 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(534,plain,
! [SV29: $i] :
( ( ( ssList @ SV29 )
= $false )
| ( ( segmentP @ SV29 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(535,plain,
! [SV30: $i] :
( ( ( ssList @ SV30 )
= $false )
| ( ( ! [SY666: $i] :
( ~ ( ssList @ SY666 )
| ! [SY667: $i] :
( ~ ( ssList @ SY667 )
| ! [SY668: $i] :
( ~ ( ssList @ SY668 )
| ~ ( segmentP @ SV30 @ SY666 )
| ( segmentP @ ( app @ ( app @ SY667 @ SV30 ) @ SY668 ) @ SY666 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(536,plain,
! [SV31: $i] :
( ( ( ssList @ SV31 )
= $false )
| ( ( segmentP @ SV31 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(537,plain,
! [SV32: $i] :
( ( ( ssItem @ SV32 )
= $false )
| ( ( cyclefreeP @ ( cons @ SV32 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(538,plain,
! [SV33: $i] :
( ( ( ssItem @ SV33 )
= $false )
| ( ( totalorderP @ ( cons @ SV33 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(539,plain,
! [SV34: $i] :
( ( ( ssItem @ SV34 )
= $false )
| ( ( strictorderP @ ( cons @ SV34 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(540,plain,
! [SV35: $i] :
( ( ( ssItem @ SV35 )
= $false )
| ( ( totalorderedP @ ( cons @ SV35 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(541,plain,
! [SV36: $i] :
( ( ( ssItem @ SV36 )
= $false )
| ( ( strictorderedP @ ( cons @ SV36 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(542,plain,
! [SV37: $i] :
( ( ( ssItem @ SV37 )
= $false )
| ( ( duplicatefreeP @ ( cons @ SV37 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(543,plain,
! [SV38: $i] :
( ( ( ssItem @ SV38 )
= $false )
| ( ( equalelemsP @ ( cons @ SV38 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(544,plain,
! [SV39: $i] :
( ( ( ssList @ SV39 )
= $false )
| ( ( ! [SY669: $i] :
( ~ ( ssList @ SY669 )
| ( nil = SY669 )
| ( nil = SV39 )
| ( ( hd @ SY669 )
!= ( hd @ SV39 ) )
| ( ( tl @ SY669 )
!= ( tl @ SV39 ) )
| ( SY669 = SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(545,plain,
! [SV40: $i] :
( ( ( ssList @ SV40 )
= $false )
| ( ( ( nil = SV40 )
| ( ( cons @ ( hd @ SV40 ) @ ( tl @ SV40 ) )
= SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(546,plain,
! [SV41: $i] :
( ( ( ssList @ SV41 )
= $false )
| ( ( ! [SY670: $i] :
( ~ ( ssList @ SY670 )
| ! [SY671: $i] :
( ~ ( ssList @ SY671 )
| ( ( app @ SY671 @ SY670 )
!= ( app @ SV41 @ SY670 ) )
| ( SY671 = SV41 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(547,plain,
! [SV42: $i] :
( ( ( ssList @ SV42 )
= $false )
| ( ( ! [SY672: $i] :
( ~ ( ssList @ SY672 )
| ! [SY673: $i] :
( ~ ( ssList @ SY673 )
| ( ( app @ SY672 @ SY673 )
!= ( app @ SY672 @ SV42 ) )
| ( SY673 = SV42 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(548,plain,
! [SV43: $i] :
( ( ( ssList @ SV43 )
= $false )
| ( ( ! [SY674: $i] :
( ~ ( ssItem @ SY674 )
| ( ( cons @ SY674 @ SV43 )
= ( app @ ( cons @ SY674 @ nil ) @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(549,plain,
! [SV44: $i] :
( ( ( ssList @ SV44 )
= $false )
| ( ( ! [SY675: $i] :
( ~ ( ssList @ SY675 )
| ! [SY676: $i] :
( ~ ( ssList @ SY676 )
| ( ( app @ ( app @ SV44 @ SY675 ) @ SY676 )
= ( app @ SV44 @ ( app @ SY675 @ SY676 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(550,plain,
! [SV45: $i] :
( ( ( ssList @ SV45 )
= $false )
| ( ( ( app @ SV45 @ nil )
= SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(551,plain,
! [SV46: $i] :
( ( ( ssList @ SV46 )
= $false )
| ( ( ! [SY677: $i] :
( ~ ( ssList @ SY677 )
| ( nil = SV46 )
| ( ( hd @ ( app @ SV46 @ SY677 ) )
= ( hd @ SV46 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(552,plain,
! [SV47: $i] :
( ( ( ssList @ SV47 )
= $false )
| ( ( ! [SY678: $i] :
( ~ ( ssList @ SY678 )
| ( nil = SV47 )
| ( ( tl @ ( app @ SV47 @ SY678 ) )
= ( app @ ( tl @ SV47 ) @ SY678 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(553,plain,
! [SV48: $i] :
( ( ( ssItem @ SV48 )
= $false )
| ( ( ! [SY679: $i] :
( ~ ( ssItem @ SY679 )
| ~ ( geq @ SV48 @ SY679 )
| ~ ( geq @ SY679 @ SV48 )
| ( SV48 = SY679 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(554,plain,
! [SV49: $i] :
( ( ( ssItem @ SV49 )
= $false )
| ( ( ! [SY680: $i] :
( ~ ( ssItem @ SY680 )
| ! [SY681: $i] :
( ~ ( ssItem @ SY681 )
| ~ ( geq @ SV49 @ SY680 )
| ~ ( geq @ SY680 @ SY681 )
| ( geq @ SV49 @ SY681 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(555,plain,
! [SV50: $i] :
( ( ( ssItem @ SV50 )
= $false )
| ( ( geq @ SV50 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(556,plain,
! [SV51: $i] :
( ( ( ssItem @ SV51 )
= $false )
| ( ( ~ ( lt @ SV51 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(557,plain,
! [SV52: $i] :
( ( ( ssItem @ SV52 )
= $false )
| ( ( ! [SY682: $i] :
( ~ ( ssItem @ SY682 )
| ! [SY683: $i] :
( ~ ( ssItem @ SY683 )
| ~ ( leq @ SV52 @ SY682 )
| ~ ( lt @ SY682 @ SY683 )
| ( lt @ SV52 @ SY683 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(558,plain,
! [SV53: $i] :
( ( ( ssItem @ SV53 )
= $false )
| ( ( ! [SY684: $i] :
( ~ ( ssItem @ SY684 )
| ~ ( leq @ SV53 @ SY684 )
| ( SV53 = SY684 )
| ( lt @ SV53 @ SY684 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(559,plain,
! [SV54: $i] :
( ( ( ssItem @ SV54 )
= $false )
| ( ( ! [SY685: $i] :
( ~ ( ssItem @ SY685 )
| ~ ( gt @ SV54 @ SY685 )
| ~ ( gt @ SY685 @ SV54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(560,plain,
! [SV55: $i] :
( ( ( ssItem @ SV55 )
= $false )
| ( ( ! [SY686: $i] :
( ~ ( ssItem @ SY686 )
| ! [SY687: $i] :
( ~ ( ssItem @ SY687 )
| ~ ( gt @ SV55 @ SY686 )
| ~ ( gt @ SY686 @ SY687 )
| ( gt @ SV55 @ SY687 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(561,plain,
! [SV56: $i] :
( ( ( ssList @ SV56 )
= $false )
| ( ( ( nil = SV56 )
| ~ ( ( ( hd @ SV56 )
!= ( sK6_V @ SV56 ) )
| ~ ( ssItem @ ( sK6_V @ SV56 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(562,plain,
! [SV57: $i] :
( ( ( ssItem @ SV57 )
= $false )
| ( ( ! [SY688: $i] :
( ~ ( ssItem @ SY688 )
| ! [SY689: $i] :
( ~ ( ssList @ SY689 )
| ~ ( ~ ! [SY690: $i] :
( ~ ( ssList @ SY690 )
| ( SV57 != SY688 )
| ~ ( frontsegP @ SY689 @ SY690 )
| ( frontsegP @ ( cons @ SV57 @ SY689 ) @ ( cons @ SY688 @ SY690 ) ) )
| ~ ~ ( ~ ! [SY691: $i] :
( ~ ( ssList @ SY691 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY689 ) @ ( cons @ SY688 @ SY691 ) )
| ( SV57 = SY688 ) )
| ~ ! [SY692: $i] :
( ~ ( ssList @ SY692 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY689 ) @ ( cons @ SY688 @ SY692 ) )
| ( frontsegP @ SY689 @ SY692 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(563,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK28_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK29_SY606 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SX0 ) @ ( cons @ ( sK28_V @ SX0 ) @ ( sK31_SY613 @ SX0 ) ) ) @ ( cons @ ( sK29_SY606 @ SX0 ) @ ( sK32_SY615 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SX0 ) @ ( sK29_SY606 @ SX0 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SX0 ) @ ( sK28_V @ SX0 ) ) ) ) ) ) ) ) )
| ( strictorderP @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(564,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( strictorderP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( lt @ SX1 @ SX2 )
| ( lt @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(565,plain,
! [SV58: $i] :
( ( ( ssList @ SV58 )
= $false )
| ( ( ~ ( ~ ! [SY693: $i] :
( ~ ( ssItem @ SY693 )
| ! [SY694: $i] :
( ! [SY695: $i] :
( ( ( app @ SY694 @ ( cons @ SY693 @ SY695 ) )
!= SV58 )
| ~ ( ssList @ SY695 ) )
| ~ ( ssList @ SY694 ) )
| ( memberP @ SV58 @ SY693 ) )
| ~ ! [SY696: $i] :
( ~ ( ssItem @ SY696 )
| ~ ( memberP @ SV58 @ SY696 )
| ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SY696 @ SV58 ) @ ( cons @ SY696 @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SY696 @ SV58 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(566,plain,
! [SV59: $i] :
( ( ( ssItem @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) )
| ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) )
| ~ ! [SY699: $i] :
( ~ ( ssList @ SY699 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY699 ) )
| ( leq @ SV59 @ ( hd @ SY699 ) )
| ( nil = SY699 ) ) )
| ~ ~ ( ~ ! [SY700: $i] :
( ~ ( ssList @ SY700 )
| ( nil = SY700 )
| ~ ( totalorderedP @ SY700 )
| ~ ( leq @ SV59 @ ( hd @ SY700 ) )
| ( totalorderedP @ ( cons @ SV59 @ SY700 ) ) )
| ~ ! [SY701: $i] :
( ~ ( ssList @ SY701 )
| ( nil != SY701 )
| ( totalorderedP @ ( cons @ SV59 @ SY701 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(567,plain,
! [SV60: $i] :
( ( ( ssItem @ SV60 )
= $false )
| ( ( ~ ( ~ ! [SY702: $i] :
( ~ ( ssItem @ SY702 )
| ~ ( gt @ SV60 @ SY702 )
| ( lt @ SY702 @ SV60 ) )
| ~ ! [SY703: $i] :
( ~ ( ssItem @ SY703 )
| ~ ( lt @ SY703 @ SV60 )
| ( gt @ SV60 @ SY703 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(568,plain,
! [SV61: $i] :
( ( ( ssList @ SV61 )
= $false )
| ( ( ~ ( ~ ! [SY704: $i] :
( ~ ( ssList @ SY704 )
| ! [SY705: $i] :
( ( ( app @ SY704 @ SY705 )
!= SV61 )
| ~ ( ssList @ SY705 ) )
| ( frontsegP @ SV61 @ SY704 ) )
| ~ ! [SY706: $i] :
( ~ ( ssList @ SY706 )
| ~ ( frontsegP @ SV61 @ SY706 )
| ~ ( ( ( app @ SY706 @ ( sK46_W @ SY706 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SY706 @ SV61 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(569,plain,
! [SV62: $i] :
( ( ( ssItem @ SV62 )
= $false )
| ( ( ~ ( ~ ! [SY707: $i] :
( ~ ( ssItem @ SY707 )
| ~ ( geq @ SV62 @ SY707 )
| ( leq @ SY707 @ SV62 ) )
| ~ ! [SY708: $i] :
( ~ ( ssItem @ SY708 )
| ~ ( leq @ SY708 @ SV62 )
| ( geq @ SV62 @ SY708 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(570,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK9_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK10_SY570 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SX0 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SX0 ) @ ( cons @ ( sK9_V @ SX0 ) @ ( cons @ ( sK10_SY570 @ SX0 ) @ ( sK12_SY575 @ SX0 ) ) ) )
!= SX0 )
| ~ ( ( ( sK9_V @ SX0 )
!= ( sK10_SY570 @ SX0 ) ) ) ) ) ) ) )
| ( equalelemsP @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(571,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( equalelemsP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ( ( app @ SX3 @ ( cons @ SX1 @ ( cons @ SX2 @ SX4 ) ) )
!= SX0 )
| ( SX1 = SX2 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(572,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK33_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK34_SY616 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SX0 ) @ ( cons @ ( sK33_V @ SX0 ) @ ( sK36_SY623 @ SX0 ) ) ) @ ( cons @ ( sK34_SY616 @ SX0 ) @ ( sK37_SY625 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SX0 ) @ ( sK34_SY616 @ SX0 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SX0 ) @ ( sK33_V @ SX0 ) ) ) ) ) ) ) ) )
| ( totalorderP @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(573,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( totalorderP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( leq @ SX1 @ SX2 )
| ( leq @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(574,plain,
( ( ~ ( ~ ( ( sK50_U != sK51_SY638 ) )
| ~ ( ssItem @ sK51_SY638 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(575,plain,
( ( ssItem @ sK50_U )
= $true ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(576,plain,
! [SV63: $i] :
( ( ( ssList @ SV63 )
= $false )
| ( ( ~ ( ~ ! [SY709: $i] :
( ~ ( ssList @ SY709 )
| ( SV63 = SY709 )
| ( neq @ SV63 @ SY709 ) )
| ~ ! [SY710: $i] :
( ~ ( ssList @ SY710 )
| ~ ( neq @ SV63 @ SY710 )
| ( SV63 != SY710 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(577,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK13_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK14_SY576 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SX0 ) @ ( cons @ ( sK13_V @ SX0 ) @ ( sK16_SY583 @ SX0 ) ) ) @ ( cons @ ( sK14_SY576 @ SX0 ) @ ( sK17_SY585 @ SX0 ) ) )
!= SX0 )
| ( ( sK13_V @ SX0 )
!= ( sK14_SY576 @ SX0 ) ) ) ) ) ) ) )
| ( duplicatefreeP @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(578,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( duplicatefreeP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( SX1 != SX2 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(579,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK18_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK19_SY586 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SX0 ) @ ( cons @ ( sK18_V @ SX0 ) @ ( sK21_SY593 @ SX0 ) ) ) @ ( cons @ ( sK19_SY586 @ SX0 ) @ ( sK22_SY595 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( lt @ ( sK18_V @ SX0 ) @ ( sK19_SY586 @ SX0 ) ) ) ) ) ) ) )
| ( strictorderedP @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(580,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( strictorderedP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( lt @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(581,plain,
! [SV64: $i] :
( ( ( ssList @ SV64 )
= $false )
| ( ( ! [SY711: $i] :
( ~ ( ssList @ SY711 )
| ! [SY712: $i] :
( ~ ( ssItem @ SY712 )
| ~ ( ~ ! [SY713: $i] :
( ~ ( ssItem @ SY713 )
| ( ( cons @ SY712 @ SV64 )
!= ( cons @ SY713 @ SY711 ) )
| ( SY712 = SY713 ) )
| ~ ! [SY714: $i] :
( ~ ( ssItem @ SY714 )
| ( ( cons @ SY712 @ SV64 )
!= ( cons @ SY714 @ SY711 ) )
| ( SY711 = SV64 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(582,plain,
! [SV65: $i] :
( ( ( ssItem @ SV65 )
= $false )
| ( ( ~ ( ~ ! [SY715: $i] :
( ~ ( ssItem @ SY715 )
| ( SV65 = SY715 )
| ~ ( leq @ SV65 @ SY715 )
| ( lt @ SV65 @ SY715 ) )
| ~ ~ ( ~ ! [SY716: $i] :
( ~ ( ssItem @ SY716 )
| ~ ( lt @ SV65 @ SY716 )
| ( SV65 != SY716 ) )
| ~ ! [SY717: $i] :
( ~ ( ssItem @ SY717 )
| ~ ( lt @ SV65 @ SY717 )
| ( leq @ SV65 @ SY717 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(583,plain,
! [SV66: $i] :
( ( ( ssList @ SV66 )
= $false )
| ( ( ~ ( ~ ! [SY718: $i] :
( ~ ( ssList @ SY718 )
| ! [SY719: $i] :
( ( ( app @ SY719 @ SY718 )
!= SV66 )
| ~ ( ssList @ SY719 ) )
| ( rearsegP @ SV66 @ SY718 ) )
| ~ ! [SY720: $i] :
( ~ ( ssList @ SY720 )
| ~ ( rearsegP @ SV66 @ SY720 )
| ~ ( ( ( app @ ( sK45_W @ SY720 @ SV66 ) @ SY720 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SY720 @ SV66 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(584,plain,
! [SV67: $i] :
( ( ( ssList @ SV67 )
= $false )
| ( ( ( nil = SV67 )
| ~ ( ~ ~ ( ( ( cons @ ( sK8_SY569 @ SV67 ) @ ( sK7_V @ SV67 ) )
!= SV67 )
| ~ ( ssItem @ ( sK8_SY569 @ SV67 ) ) )
| ~ ( ssList @ ( sK7_V @ SV67 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(585,plain,
! [SV68: $i] :
( ( ( ssList @ SV68 )
= $false )
| ( ( ~ ( ~ ! [SY721: $i] :
( ~ ( ssList @ SY721 )
| ( nil != SY721 )
| ( nil != SV68 )
| ( nil
= ( app @ SV68 @ SY721 ) ) )
| ~ ~ ( ~ ! [SY722: $i] :
( ~ ( ssList @ SY722 )
| ( nil
!= ( app @ SV68 @ SY722 ) )
| ( nil = SY722 ) )
| ~ ! [SY723: $i] :
( ~ ( ssList @ SY723 )
| ( nil
!= ( app @ SV68 @ SY723 ) )
| ( nil = SV68 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(586,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( cons @ SX1 @ nil )
!= SX0 )
| ~ ( ssItem @ SX1 ) )
| ( singletonP @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[486]) ).
thf(587,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( singletonP @ SX0 )
| ~ ( ( ( cons @ ( sK47_V @ SX0 ) @ nil )
!= SX0 )
| ~ ( ssItem @ ( sK47_V @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(588,plain,
! [SV69: $i] :
( ( ( ssItem @ SV69 )
= $false )
| ( ( ! [SY724: $i] :
( ~ ( ssItem @ SY724 )
| ~ ( ~ ! [SY725: $i] :
( ~ ( ssList @ SY725 )
| ~ ( memberP @ ( cons @ SY724 @ SY725 ) @ SV69 )
| ( SV69 = SY724 )
| ( memberP @ SY725 @ SV69 ) )
| ~ ~ ( ~ ! [SY726: $i] :
( ~ ( ssList @ SY726 )
| ( SV69 != SY724 )
| ( memberP @ ( cons @ SY724 @ SY726 ) @ SV69 ) )
| ~ ! [SY727: $i] :
( ~ ( ssList @ SY727 )
| ~ ( memberP @ SY727 @ SV69 )
| ( memberP @ ( cons @ SY724 @ SY727 ) @ SV69 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(589,plain,
! [SV70: $i] :
( ( ( ssList @ SV70 )
= $false )
| ( ( ~ ( ~ ! [SY728: $i] :
( ~ ( ssList @ SY728 )
| ! [SY729: $i] :
( ! [SY730: $i] :
( ( ( app @ ( app @ SY729 @ SY728 ) @ SY730 )
!= SV70 )
| ~ ( ssList @ SY730 ) )
| ~ ( ssList @ SY729 ) )
| ( segmentP @ SV70 @ SY728 ) )
| ~ ! [SY731: $i] :
( ~ ( ssList @ SY731 )
| ~ ( segmentP @ SV70 @ SY731 )
| ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SY731 @ SV70 ) @ SY731 ) @ ( sK44_SY636 @ SY731 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SY731 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SY731 @ SV70 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(590,plain,
! [SV71: $i] :
( ( ( ssItem @ SV71 )
= $false )
| ( ( ~ ( ~ ! [SY732: $i] :
( ~ ( ssItem @ SY732 )
| ( SV71 = SY732 )
| ( neq @ SV71 @ SY732 ) )
| ~ ! [SY733: $i] :
( ~ ( ssItem @ SY733 )
| ~ ( neq @ SV71 @ SY733 )
| ( SV71 != SY733 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(591,plain,
! [SV72: $i] :
( ( ( ssItem @ SV72 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) )
| ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) )
| ~ ! [SY736: $i] :
( ~ ( ssList @ SY736 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY736 ) )
| ( lt @ SV72 @ ( hd @ SY736 ) )
| ( nil = SY736 ) ) )
| ~ ~ ( ~ ! [SY737: $i] :
( ~ ( ssList @ SY737 )
| ( nil = SY737 )
| ~ ( strictorderedP @ SY737 )
| ~ ( lt @ SV72 @ ( hd @ SY737 ) )
| ( strictorderedP @ ( cons @ SV72 @ SY737 ) ) )
| ~ ! [SY738: $i] :
( ~ ( ssList @ SY738 )
| ( nil != SY738 )
| ( strictorderedP @ ( cons @ SV72 @ SY738 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(592,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( rearsegP @ nil @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(593,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( rearsegP @ nil @ SX0 )
| ( nil = SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(594,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( frontsegP @ nil @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(595,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( frontsegP @ nil @ SX0 )
| ( nil = SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[495]) ).
thf(596,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK38_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK39_SY626 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SX0 ) @ ( cons @ ( sK38_V @ SX0 ) @ ( sK41_SY633 @ SX0 ) ) ) @ ( cons @ ( sK39_SY626 @ SX0 ) @ ( sK42_SY635 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SX0 ) @ ( sK39_SY626 @ SX0 ) )
| ~ ( leq @ ( sK39_SY626 @ SX0 ) @ ( sK38_V @ SX0 ) ) ) ) ) ) ) ) )
| ( cyclefreeP @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(597,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( cyclefreeP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ~ ( leq @ SX1 @ SX2 )
| ~ ( leq @ SX2 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(598,plain,
( ( ssList @ sK2_SY549 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(599,plain,
( ( ~ ( ~ ( ssList @ sK3_SY554 )
| ~ ~ ( ~ ( ssList @ sK4_SY560 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(600,plain,
! [SV73: $i] :
( ( ( ssItem @ SV73 )
= $false )
| ( ( ! [SY739: $i] :
( ~ ( ssList @ SY739 )
| ~ ( ~ ! [SY740: $i] :
( ~ ( ssList @ SY740 )
| ~ ( memberP @ ( app @ SY739 @ SY740 ) @ SV73 )
| ( memberP @ SY739 @ SV73 )
| ( memberP @ SY740 @ SV73 ) )
| ~ ~ ( ~ ! [SY741: $i] :
( ~ ( ssList @ SY741 )
| ~ ( memberP @ SY739 @ SV73 )
| ( memberP @ ( app @ SY739 @ SY741 ) @ SV73 ) )
| ~ ! [SY742: $i] :
( ~ ( ssList @ SY742 )
| ~ ( memberP @ SY742 @ SV73 )
| ( memberP @ ( app @ SY739 @ SY742 ) @ SV73 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(601,plain,
! [SV74: $i] :
( ( ( ssList @ SV74 )
= $false )
| ( ( ( nil = SV74 )
| ~ ( ( ( tl @ SV74 )
!= ( sK5_V @ SV74 ) )
| ~ ( ssList @ ( sK5_V @ SV74 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(602,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( ~ ( ssItem @ ( sK23_V @ SX0 ) )
| ~ ~ ( ~ ( ssItem @ ( sK24_SY596 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SX0 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SX0 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SX0 ) @ ( cons @ ( sK23_V @ SX0 ) @ ( sK26_SY603 @ SX0 ) ) ) @ ( cons @ ( sK24_SY596 @ SX0 ) @ ( sK27_SY605 @ SX0 ) ) )
!= SX0 )
| ~ ~ ( leq @ ( sK23_V @ SX0 ) @ ( sK24_SY596 @ SX0 ) ) ) ) ) ) ) )
| ( totalorderedP @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(603,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( totalorderedP @ SX0 )
| ! [SX1: $i] :
( ~ ( ssItem @ SX1 )
| ! [SX2: $i] :
( ~ ( ssItem @ SX2 )
| ! [SX3: $i] :
( ~ ( ssList @ SX3 )
| ! [SX4: $i] :
( ~ ( ssList @ SX4 )
| ! [SX5: $i] :
( ~ ( ssList @ SX5 )
| ( ( app @ ( app @ SX3 @ ( cons @ SX1 @ SX4 ) ) @ ( cons @ SX2 @ SX5 ) )
!= SX0 )
| ( leq @ SX1 @ SX2 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(604,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( nil != SX0 )
| ( segmentP @ nil @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(605,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ~ ( segmentP @ nil @ SX0 )
| ( nil = SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(606,plain,
! [SV1: $i,SV75: $i] :
( ( ( ~ ( ssItem @ SV75 )
| ( ssList @ ( cons @ SV75 @ SV1 ) ) )
= $true )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(607,plain,
! [SV2: $i,SV76: $i] :
( ( ( ~ ( ssItem @ SV76 )
| ( ( cons @ SV76 @ SV2 )
!= SV2 ) )
= $true )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(608,plain,
! [SV3: $i,SV77: $i] :
( ( ( ~ ( ssItem @ SV77 )
| ( nil
!= ( cons @ SV77 @ SV3 ) ) )
= $true )
| ( ( ssList @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(609,plain,
! [SV4: $i] :
( ( ( nil = SV4 )
= $true )
| ( ( ssItem @ ( hd @ SV4 ) )
= $true )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(610,plain,
! [SV5: $i,SV78: $i] :
( ( ( ~ ( ssItem @ SV78 )
| ( ( hd @ ( cons @ SV78 @ SV5 ) )
= SV78 ) )
= $true )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(611,plain,
! [SV6: $i] :
( ( ( nil = SV6 )
= $true )
| ( ( ssList @ ( tl @ SV6 ) )
= $true )
| ( ( ssList @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(612,plain,
! [SV7: $i,SV79: $i] :
( ( ( ~ ( ssItem @ SV79 )
| ( ( tl @ ( cons @ SV79 @ SV7 ) )
= SV7 ) )
= $true )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(613,plain,
! [SV8: $i,SV80: $i] :
( ( ( ~ ( ssList @ SV80 )
| ( ssList @ ( app @ SV8 @ SV80 ) ) )
= $true )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(614,plain,
! [SV9: $i,SV81: $i] :
( ( ( ~ ( ssList @ SV81 )
| ! [SY743: $i] :
( ~ ( ssItem @ SY743 )
| ( ( cons @ SY743 @ ( app @ SV81 @ SV9 ) )
= ( app @ ( cons @ SY743 @ SV81 ) @ SV9 ) ) ) )
= $true )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(615,plain,
! [SV11: $i,SV82: $i] :
( ( ( ~ ( ssItem @ SV82 )
| ~ ( leq @ SV11 @ SV82 )
| ~ ( leq @ SV82 @ SV11 )
| ( SV11 = SV82 ) )
= $true )
| ( ( ssItem @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(616,plain,
! [SV12: $i,SV83: $i] :
( ( ( ~ ( ssItem @ SV83 )
| ! [SY744: $i] :
( ~ ( ssItem @ SY744 )
| ~ ( leq @ SV12 @ SV83 )
| ~ ( leq @ SV83 @ SY744 )
| ( leq @ SV12 @ SY744 ) ) )
= $true )
| ( ( ssItem @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(617,plain,
! [SV14: $i,SV84: $i] :
( ( ( ~ ( ssItem @ SV84 )
| ~ ( lt @ SV14 @ SV84 )
| ~ ( lt @ SV84 @ SV14 ) )
= $true )
| ( ( ssItem @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(618,plain,
! [SV15: $i,SV85: $i] :
( ( ( ~ ( ssItem @ SV85 )
| ! [SY745: $i] :
( ~ ( ssItem @ SY745 )
| ~ ( lt @ SV15 @ SV85 )
| ~ ( lt @ SV85 @ SY745 )
| ( lt @ SV15 @ SY745 ) ) )
= $true )
| ( ( ssItem @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(619,plain,
! [SV16: $i] :
( ( ( memberP @ nil @ SV16 )
= $false )
| ( ( ssItem @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(620,plain,
! [SV17: $i,SV86: $i] :
( ( ( ~ ( ssList @ SV86 )
| ! [SY746: $i] :
( ~ ( ssList @ SY746 )
| ~ ( frontsegP @ SV17 @ SV86 )
| ~ ( frontsegP @ SV86 @ SY746 )
| ( frontsegP @ SV17 @ SY746 ) ) )
= $true )
| ( ( ssList @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(621,plain,
! [SV18: $i,SV87: $i] :
( ( ( ~ ( ssList @ SV87 )
| ~ ( frontsegP @ SV18 @ SV87 )
| ~ ( frontsegP @ SV87 @ SV18 )
| ( SV18 = SV87 ) )
= $true )
| ( ( ssList @ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(622,plain,
! [SV20: $i,SV88: $i] :
( ( ( ~ ( ssList @ SV88 )
| ! [SY747: $i] :
( ~ ( ssList @ SY747 )
| ~ ( frontsegP @ SV20 @ SV88 )
| ( frontsegP @ ( app @ SV20 @ SY747 ) @ SV88 ) ) )
= $true )
| ( ( ssList @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(623,plain,
! [SV22: $i,SV89: $i] :
( ( ( ~ ( ssList @ SV89 )
| ! [SY748: $i] :
( ~ ( ssList @ SY748 )
| ~ ( rearsegP @ SV22 @ SV89 )
| ~ ( rearsegP @ SV89 @ SY748 )
| ( rearsegP @ SV22 @ SY748 ) ) )
= $true )
| ( ( ssList @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(624,plain,
! [SV23: $i,SV90: $i] :
( ( ( ~ ( ssList @ SV90 )
| ~ ( rearsegP @ SV23 @ SV90 )
| ~ ( rearsegP @ SV90 @ SV23 )
| ( SV23 = SV90 ) )
= $true )
| ( ( ssList @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(625,plain,
! [SV25: $i,SV91: $i] :
( ( ( ~ ( ssList @ SV91 )
| ! [SY749: $i] :
( ~ ( ssList @ SY749 )
| ~ ( rearsegP @ SV25 @ SV91 )
| ( rearsegP @ ( app @ SY749 @ SV25 ) @ SV91 ) ) )
= $true )
| ( ( ssList @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(626,plain,
! [SV27: $i,SV92: $i] :
( ( ( ~ ( ssList @ SV92 )
| ! [SY750: $i] :
( ~ ( ssList @ SY750 )
| ~ ( segmentP @ SV27 @ SV92 )
| ~ ( segmentP @ SV92 @ SY750 )
| ( segmentP @ SV27 @ SY750 ) ) )
= $true )
| ( ( ssList @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(627,plain,
! [SV28: $i,SV93: $i] :
( ( ( ~ ( ssList @ SV93 )
| ~ ( segmentP @ SV28 @ SV93 )
| ~ ( segmentP @ SV93 @ SV28 )
| ( SV28 = SV93 ) )
= $true )
| ( ( ssList @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(628,plain,
! [SV30: $i,SV94: $i] :
( ( ( ~ ( ssList @ SV94 )
| ! [SY751: $i] :
( ~ ( ssList @ SY751 )
| ! [SY752: $i] :
( ~ ( ssList @ SY752 )
| ~ ( segmentP @ SV30 @ SV94 )
| ( segmentP @ ( app @ ( app @ SY751 @ SV30 ) @ SY752 ) @ SV94 ) ) ) )
= $true )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(629,plain,
! [SV39: $i,SV95: $i] :
( ( ( ~ ( ssList @ SV95 )
| ( nil = SV95 )
| ( nil = SV39 )
| ( ( hd @ SV95 )
!= ( hd @ SV39 ) )
| ( ( tl @ SV95 )
!= ( tl @ SV39 ) )
| ( SV95 = SV39 ) )
= $true )
| ( ( ssList @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(630,plain,
! [SV40: $i] :
( ( ( nil = SV40 )
= $true )
| ( ( ( cons @ ( hd @ SV40 ) @ ( tl @ SV40 ) )
= SV40 )
= $true )
| ( ( ssList @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(631,plain,
! [SV41: $i,SV96: $i] :
( ( ( ~ ( ssList @ SV96 )
| ! [SY753: $i] :
( ~ ( ssList @ SY753 )
| ( ( app @ SY753 @ SV96 )
!= ( app @ SV41 @ SV96 ) )
| ( SY753 = SV41 ) ) )
= $true )
| ( ( ssList @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(632,plain,
! [SV42: $i,SV97: $i] :
( ( ( ~ ( ssList @ SV97 )
| ! [SY754: $i] :
( ~ ( ssList @ SY754 )
| ( ( app @ SV97 @ SY754 )
!= ( app @ SV97 @ SV42 ) )
| ( SY754 = SV42 ) ) )
= $true )
| ( ( ssList @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(633,plain,
! [SV43: $i,SV98: $i] :
( ( ( ~ ( ssItem @ SV98 )
| ( ( cons @ SV98 @ SV43 )
= ( app @ ( cons @ SV98 @ nil ) @ SV43 ) ) )
= $true )
| ( ( ssList @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(634,plain,
! [SV44: $i,SV99: $i] :
( ( ( ~ ( ssList @ SV99 )
| ! [SY755: $i] :
( ~ ( ssList @ SY755 )
| ( ( app @ ( app @ SV44 @ SV99 ) @ SY755 )
= ( app @ SV44 @ ( app @ SV99 @ SY755 ) ) ) ) )
= $true )
| ( ( ssList @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(635,plain,
! [SV46: $i,SV100: $i] :
( ( ( ~ ( ssList @ SV100 )
| ( nil = SV46 )
| ( ( hd @ ( app @ SV46 @ SV100 ) )
= ( hd @ SV46 ) ) )
= $true )
| ( ( ssList @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(636,plain,
! [SV47: $i,SV101: $i] :
( ( ( ~ ( ssList @ SV101 )
| ( nil = SV47 )
| ( ( tl @ ( app @ SV47 @ SV101 ) )
= ( app @ ( tl @ SV47 ) @ SV101 ) ) )
= $true )
| ( ( ssList @ SV47 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(637,plain,
! [SV48: $i,SV102: $i] :
( ( ( ~ ( ssItem @ SV102 )
| ~ ( geq @ SV48 @ SV102 )
| ~ ( geq @ SV102 @ SV48 )
| ( SV48 = SV102 ) )
= $true )
| ( ( ssItem @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(638,plain,
! [SV49: $i,SV103: $i] :
( ( ( ~ ( ssItem @ SV103 )
| ! [SY756: $i] :
( ~ ( ssItem @ SY756 )
| ~ ( geq @ SV49 @ SV103 )
| ~ ( geq @ SV103 @ SY756 )
| ( geq @ SV49 @ SY756 ) ) )
= $true )
| ( ( ssItem @ SV49 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(639,plain,
! [SV51: $i] :
( ( ( lt @ SV51 @ SV51 )
= $false )
| ( ( ssItem @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(640,plain,
! [SV52: $i,SV104: $i] :
( ( ( ~ ( ssItem @ SV104 )
| ! [SY757: $i] :
( ~ ( ssItem @ SY757 )
| ~ ( leq @ SV52 @ SV104 )
| ~ ( lt @ SV104 @ SY757 )
| ( lt @ SV52 @ SY757 ) ) )
= $true )
| ( ( ssItem @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(641,plain,
! [SV53: $i,SV105: $i] :
( ( ( ~ ( ssItem @ SV105 )
| ~ ( leq @ SV53 @ SV105 )
| ( SV53 = SV105 )
| ( lt @ SV53 @ SV105 ) )
= $true )
| ( ( ssItem @ SV53 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(642,plain,
! [SV54: $i,SV106: $i] :
( ( ( ~ ( ssItem @ SV106 )
| ~ ( gt @ SV54 @ SV106 )
| ~ ( gt @ SV106 @ SV54 ) )
= $true )
| ( ( ssItem @ SV54 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(643,plain,
! [SV55: $i,SV107: $i] :
( ( ( ~ ( ssItem @ SV107 )
| ! [SY758: $i] :
( ~ ( ssItem @ SY758 )
| ~ ( gt @ SV55 @ SV107 )
| ~ ( gt @ SV107 @ SY758 )
| ( gt @ SV55 @ SY758 ) ) )
= $true )
| ( ( ssItem @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(644,plain,
! [SV56: $i] :
( ( ( nil = SV56 )
= $true )
| ( ( ~ ( ( ( hd @ SV56 )
!= ( sK6_V @ SV56 ) )
| ~ ( ssItem @ ( sK6_V @ SV56 ) ) ) )
= $true )
| ( ( ssList @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(645,plain,
! [SV57: $i,SV108: $i] :
( ( ( ~ ( ssItem @ SV108 )
| ! [SY759: $i] :
( ~ ( ssList @ SY759 )
| ~ ( ~ ! [SY760: $i] :
( ~ ( ssList @ SY760 )
| ( SV57 != SV108 )
| ~ ( frontsegP @ SY759 @ SY760 )
| ( frontsegP @ ( cons @ SV57 @ SY759 ) @ ( cons @ SV108 @ SY760 ) ) )
| ~ ~ ( ~ ! [SY761: $i] :
( ~ ( ssList @ SY761 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY759 ) @ ( cons @ SV108 @ SY761 ) )
| ( SV57 = SV108 ) )
| ~ ! [SY762: $i] :
( ~ ( ssList @ SY762 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY759 ) @ ( cons @ SV108 @ SY762 ) )
| ( frontsegP @ SY759 @ SY762 ) ) ) ) ) )
= $true )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(646,plain,
! [SV109: $i] :
( ( ~ ( ssList @ SV109 )
| ~ ( ~ ( ssItem @ ( sK28_V @ SV109 ) )
| ~ ~ ( ~ ( ssItem @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) ) ) )
| ( strictorderP @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(647,plain,
! [SV110: $i] :
( ( ~ ( ssList @ SV110 )
| ~ ( strictorderP @ SV110 )
| ! [SY763: $i] :
( ~ ( ssItem @ SY763 )
| ! [SY764: $i] :
( ~ ( ssItem @ SY764 )
| ! [SY765: $i] :
( ~ ( ssList @ SY765 )
| ! [SY766: $i] :
( ~ ( ssList @ SY766 )
| ! [SY767: $i] :
( ~ ( ssList @ SY767 )
| ( ( app @ ( app @ SY765 @ ( cons @ SY763 @ SY766 ) ) @ ( cons @ SY764 @ SY767 ) )
!= SV110 )
| ( lt @ SY763 @ SY764 )
| ( lt @ SY764 @ SY763 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(648,plain,
! [SV58: $i] :
( ( ( ~ ! [SY693: $i] :
( ~ ( ssItem @ SY693 )
| ! [SY694: $i] :
( ! [SY695: $i] :
( ( ( app @ SY694 @ ( cons @ SY693 @ SY695 ) )
!= SV58 )
| ~ ( ssList @ SY695 ) )
| ~ ( ssList @ SY694 ) )
| ( memberP @ SV58 @ SY693 ) )
| ~ ! [SY696: $i] :
( ~ ( ssItem @ SY696 )
| ~ ( memberP @ SV58 @ SY696 )
| ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SY696 @ SV58 ) @ ( cons @ SY696 @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SY696 @ SV58 ) ) ) ) )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(649,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) )
| ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) )
| ~ ! [SY699: $i] :
( ~ ( ssList @ SY699 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY699 ) )
| ( leq @ SV59 @ ( hd @ SY699 ) )
| ( nil = SY699 ) ) )
| ~ ~ ( ~ ! [SY700: $i] :
( ~ ( ssList @ SY700 )
| ( nil = SY700 )
| ~ ( totalorderedP @ SY700 )
| ~ ( leq @ SV59 @ ( hd @ SY700 ) )
| ( totalorderedP @ ( cons @ SV59 @ SY700 ) ) )
| ~ ! [SY701: $i] :
( ~ ( ssList @ SY701 )
| ( nil != SY701 )
| ( totalorderedP @ ( cons @ SV59 @ SY701 ) ) ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(650,plain,
! [SV60: $i] :
( ( ( ~ ! [SY702: $i] :
( ~ ( ssItem @ SY702 )
| ~ ( gt @ SV60 @ SY702 )
| ( lt @ SY702 @ SV60 ) )
| ~ ! [SY703: $i] :
( ~ ( ssItem @ SY703 )
| ~ ( lt @ SY703 @ SV60 )
| ( gt @ SV60 @ SY703 ) ) )
= $false )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(651,plain,
! [SV61: $i] :
( ( ( ~ ! [SY704: $i] :
( ~ ( ssList @ SY704 )
| ! [SY705: $i] :
( ( ( app @ SY704 @ SY705 )
!= SV61 )
| ~ ( ssList @ SY705 ) )
| ( frontsegP @ SV61 @ SY704 ) )
| ~ ! [SY706: $i] :
( ~ ( ssList @ SY706 )
| ~ ( frontsegP @ SV61 @ SY706 )
| ~ ( ( ( app @ SY706 @ ( sK46_W @ SY706 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SY706 @ SV61 ) ) ) ) )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(652,plain,
! [SV62: $i] :
( ( ( ~ ! [SY707: $i] :
( ~ ( ssItem @ SY707 )
| ~ ( geq @ SV62 @ SY707 )
| ( leq @ SY707 @ SV62 ) )
| ~ ! [SY708: $i] :
( ~ ( ssItem @ SY708 )
| ~ ( leq @ SY708 @ SV62 )
| ( geq @ SV62 @ SY708 ) ) )
= $false )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(653,plain,
! [SV111: $i] :
( ( ~ ( ssList @ SV111 )
| ~ ( ~ ( ssItem @ ( sK9_V @ SV111 ) )
| ~ ~ ( ~ ( ssItem @ ( sK10_SY570 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) ) ) )
| ( equalelemsP @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(654,plain,
! [SV112: $i] :
( ( ~ ( ssList @ SV112 )
| ~ ( equalelemsP @ SV112 )
| ! [SY768: $i] :
( ~ ( ssItem @ SY768 )
| ! [SY769: $i] :
( ~ ( ssItem @ SY769 )
| ! [SY770: $i] :
( ~ ( ssList @ SY770 )
| ! [SY771: $i] :
( ~ ( ssList @ SY771 )
| ( ( app @ SY770 @ ( cons @ SY768 @ ( cons @ SY769 @ SY771 ) ) )
!= SV112 )
| ( SY768 = SY769 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(655,plain,
! [SV113: $i] :
( ( ~ ( ssList @ SV113 )
| ~ ( ~ ( ssItem @ ( sK33_V @ SV113 ) )
| ~ ~ ( ~ ( ssItem @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) ) ) )
| ( totalorderP @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(656,plain,
! [SV114: $i] :
( ( ~ ( ssList @ SV114 )
| ~ ( totalorderP @ SV114 )
| ! [SY772: $i] :
( ~ ( ssItem @ SY772 )
| ! [SY773: $i] :
( ~ ( ssItem @ SY773 )
| ! [SY774: $i] :
( ~ ( ssList @ SY774 )
| ! [SY775: $i] :
( ~ ( ssList @ SY775 )
| ! [SY776: $i] :
( ~ ( ssList @ SY776 )
| ( ( app @ ( app @ SY774 @ ( cons @ SY772 @ SY775 ) ) @ ( cons @ SY773 @ SY776 ) )
!= SV114 )
| ( leq @ SY772 @ SY773 )
| ( leq @ SY773 @ SY772 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(657,plain,
( ( ~ ( ( sK50_U != sK51_SY638 ) )
| ~ ( ssItem @ sK51_SY638 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(658,plain,
! [SV63: $i] :
( ( ( ~ ! [SY709: $i] :
( ~ ( ssList @ SY709 )
| ( SV63 = SY709 )
| ( neq @ SV63 @ SY709 ) )
| ~ ! [SY710: $i] :
( ~ ( ssList @ SY710 )
| ~ ( neq @ SV63 @ SY710 )
| ( SV63 != SY710 ) ) )
= $false )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(659,plain,
! [SV115: $i] :
( ( ~ ( ssList @ SV115 )
| ~ ( ~ ( ssItem @ ( sK13_V @ SV115 ) )
| ~ ~ ( ~ ( ssItem @ ( sK14_SY576 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) ) ) )
| ( duplicatefreeP @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(660,plain,
! [SV116: $i] :
( ( ~ ( ssList @ SV116 )
| ~ ( duplicatefreeP @ SV116 )
| ! [SY777: $i] :
( ~ ( ssItem @ SY777 )
| ! [SY778: $i] :
( ~ ( ssItem @ SY778 )
| ! [SY779: $i] :
( ~ ( ssList @ SY779 )
| ! [SY780: $i] :
( ~ ( ssList @ SY780 )
| ! [SY781: $i] :
( ~ ( ssList @ SY781 )
| ( ( app @ ( app @ SY779 @ ( cons @ SY777 @ SY780 ) ) @ ( cons @ SY778 @ SY781 ) )
!= SV116 )
| ( SY777 != SY778 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(661,plain,
! [SV117: $i] :
( ( ~ ( ssList @ SV117 )
| ~ ( ~ ( ssItem @ ( sK18_V @ SV117 ) )
| ~ ~ ( ~ ( ssItem @ ( sK19_SY586 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) ) ) )
| ( strictorderedP @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(662,plain,
! [SV118: $i] :
( ( ~ ( ssList @ SV118 )
| ~ ( strictorderedP @ SV118 )
| ! [SY782: $i] :
( ~ ( ssItem @ SY782 )
| ! [SY783: $i] :
( ~ ( ssItem @ SY783 )
| ! [SY784: $i] :
( ~ ( ssList @ SY784 )
| ! [SY785: $i] :
( ~ ( ssList @ SY785 )
| ! [SY786: $i] :
( ~ ( ssList @ SY786 )
| ( ( app @ ( app @ SY784 @ ( cons @ SY782 @ SY785 ) ) @ ( cons @ SY783 @ SY786 ) )
!= SV118 )
| ( lt @ SY782 @ SY783 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(663,plain,
! [SV64: $i,SV119: $i] :
( ( ( ~ ( ssList @ SV119 )
| ! [SY787: $i] :
( ~ ( ssItem @ SY787 )
| ~ ( ~ ! [SY788: $i] :
( ~ ( ssItem @ SY788 )
| ( ( cons @ SY787 @ SV64 )
!= ( cons @ SY788 @ SV119 ) )
| ( SY787 = SY788 ) )
| ~ ! [SY789: $i] :
( ~ ( ssItem @ SY789 )
| ( ( cons @ SY787 @ SV64 )
!= ( cons @ SY789 @ SV119 ) )
| ( SV119 = SV64 ) ) ) ) )
= $true )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(664,plain,
! [SV65: $i] :
( ( ( ~ ! [SY715: $i] :
( ~ ( ssItem @ SY715 )
| ( SV65 = SY715 )
| ~ ( leq @ SV65 @ SY715 )
| ( lt @ SV65 @ SY715 ) )
| ~ ~ ( ~ ! [SY716: $i] :
( ~ ( ssItem @ SY716 )
| ~ ( lt @ SV65 @ SY716 )
| ( SV65 != SY716 ) )
| ~ ! [SY717: $i] :
( ~ ( ssItem @ SY717 )
| ~ ( lt @ SV65 @ SY717 )
| ( leq @ SV65 @ SY717 ) ) ) )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(665,plain,
! [SV66: $i] :
( ( ( ~ ! [SY718: $i] :
( ~ ( ssList @ SY718 )
| ! [SY719: $i] :
( ( ( app @ SY719 @ SY718 )
!= SV66 )
| ~ ( ssList @ SY719 ) )
| ( rearsegP @ SV66 @ SY718 ) )
| ~ ! [SY720: $i] :
( ~ ( ssList @ SY720 )
| ~ ( rearsegP @ SV66 @ SY720 )
| ~ ( ( ( app @ ( sK45_W @ SY720 @ SV66 ) @ SY720 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SY720 @ SV66 ) ) ) ) )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(666,plain,
! [SV67: $i] :
( ( ( nil = SV67 )
= $true )
| ( ( ~ ( ~ ~ ( ( ( cons @ ( sK8_SY569 @ SV67 ) @ ( sK7_V @ SV67 ) )
!= SV67 )
| ~ ( ssItem @ ( sK8_SY569 @ SV67 ) ) )
| ~ ( ssList @ ( sK7_V @ SV67 ) ) ) )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(667,plain,
! [SV68: $i] :
( ( ( ~ ! [SY721: $i] :
( ~ ( ssList @ SY721 )
| ( nil != SY721 )
| ( nil != SV68 )
| ( nil
= ( app @ SV68 @ SY721 ) ) )
| ~ ~ ( ~ ! [SY722: $i] :
( ~ ( ssList @ SY722 )
| ( nil
!= ( app @ SV68 @ SY722 ) )
| ( nil = SY722 ) )
| ~ ! [SY723: $i] :
( ~ ( ssList @ SY723 )
| ( nil
!= ( app @ SV68 @ SY723 ) )
| ( nil = SV68 ) ) ) )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(668,plain,
! [SV120: $i] :
( ( ~ ( ssList @ SV120 )
| ! [SY790: $i] :
( ( ( cons @ SY790 @ nil )
!= SV120 )
| ~ ( ssItem @ SY790 ) )
| ( singletonP @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(669,plain,
! [SV121: $i] :
( ( ~ ( ssList @ SV121 )
| ~ ( singletonP @ SV121 )
| ~ ( ( ( cons @ ( sK47_V @ SV121 ) @ nil )
!= SV121 )
| ~ ( ssItem @ ( sK47_V @ SV121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(670,plain,
! [SV69: $i,SV122: $i] :
( ( ( ~ ( ssItem @ SV122 )
| ~ ( ~ ! [SY791: $i] :
( ~ ( ssList @ SY791 )
| ~ ( memberP @ ( cons @ SV122 @ SY791 ) @ SV69 )
| ( SV69 = SV122 )
| ( memberP @ SY791 @ SV69 ) )
| ~ ~ ( ~ ! [SY792: $i] :
( ~ ( ssList @ SY792 )
| ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SY792 ) @ SV69 ) )
| ~ ! [SY793: $i] :
( ~ ( ssList @ SY793 )
| ~ ( memberP @ SY793 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SY793 ) @ SV69 ) ) ) ) )
= $true )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(671,plain,
! [SV70: $i] :
( ( ( ~ ! [SY728: $i] :
( ~ ( ssList @ SY728 )
| ! [SY729: $i] :
( ! [SY730: $i] :
( ( ( app @ ( app @ SY729 @ SY728 ) @ SY730 )
!= SV70 )
| ~ ( ssList @ SY730 ) )
| ~ ( ssList @ SY729 ) )
| ( segmentP @ SV70 @ SY728 ) )
| ~ ! [SY731: $i] :
( ~ ( ssList @ SY731 )
| ~ ( segmentP @ SV70 @ SY731 )
| ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SY731 @ SV70 ) @ SY731 ) @ ( sK44_SY636 @ SY731 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SY731 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SY731 @ SV70 ) ) ) ) )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(672,plain,
! [SV71: $i] :
( ( ( ~ ! [SY732: $i] :
( ~ ( ssItem @ SY732 )
| ( SV71 = SY732 )
| ( neq @ SV71 @ SY732 ) )
| ~ ! [SY733: $i] :
( ~ ( ssItem @ SY733 )
| ~ ( neq @ SV71 @ SY733 )
| ( SV71 != SY733 ) ) )
= $false )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(673,plain,
! [SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) )
| ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) )
| ~ ! [SY736: $i] :
( ~ ( ssList @ SY736 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY736 ) )
| ( lt @ SV72 @ ( hd @ SY736 ) )
| ( nil = SY736 ) ) )
| ~ ~ ( ~ ! [SY737: $i] :
( ~ ( ssList @ SY737 )
| ( nil = SY737 )
| ~ ( strictorderedP @ SY737 )
| ~ ( lt @ SV72 @ ( hd @ SY737 ) )
| ( strictorderedP @ ( cons @ SV72 @ SY737 ) ) )
| ~ ! [SY738: $i] :
( ~ ( ssList @ SY738 )
| ( nil != SY738 )
| ( strictorderedP @ ( cons @ SV72 @ SY738 ) ) ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(674,plain,
! [SV123: $i] :
( ( ~ ( ssList @ SV123 )
| ( nil != SV123 )
| ( rearsegP @ nil @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(675,plain,
! [SV124: $i] :
( ( ~ ( ssList @ SV124 )
| ~ ( rearsegP @ nil @ SV124 )
| ( nil = SV124 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(676,plain,
! [SV125: $i] :
( ( ~ ( ssList @ SV125 )
| ( nil != SV125 )
| ( frontsegP @ nil @ SV125 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(677,plain,
! [SV126: $i] :
( ( ~ ( ssList @ SV126 )
| ~ ( frontsegP @ nil @ SV126 )
| ( nil = SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(678,plain,
! [SV127: $i] :
( ( ~ ( ssList @ SV127 )
| ~ ( ~ ( ssItem @ ( sK38_V @ SV127 ) )
| ~ ~ ( ~ ( ssItem @ ( sK39_SY626 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) ) ) )
| ( cyclefreeP @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(679,plain,
! [SV128: $i] :
( ( ~ ( ssList @ SV128 )
| ~ ( cyclefreeP @ SV128 )
| ! [SY794: $i] :
( ~ ( ssItem @ SY794 )
| ! [SY795: $i] :
( ~ ( ssItem @ SY795 )
| ! [SY796: $i] :
( ~ ( ssList @ SY796 )
| ! [SY797: $i] :
( ~ ( ssList @ SY797 )
| ! [SY798: $i] :
( ~ ( ssList @ SY798 )
| ( ( app @ ( app @ SY796 @ ( cons @ SY794 @ SY797 ) ) @ ( cons @ SY795 @ SY798 ) )
!= SV128 )
| ~ ( leq @ SY794 @ SY795 )
| ~ ( leq @ SY795 @ SY794 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(680,plain,
( ( ~ ( ssList @ sK3_SY554 )
| ~ ~ ( ~ ( ssList @ sK4_SY560 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(681,plain,
! [SV73: $i,SV129: $i] :
( ( ( ~ ( ssList @ SV129 )
| ~ ( ~ ! [SY799: $i] :
( ~ ( ssList @ SY799 )
| ~ ( memberP @ ( app @ SV129 @ SY799 ) @ SV73 )
| ( memberP @ SV129 @ SV73 )
| ( memberP @ SY799 @ SV73 ) )
| ~ ~ ( ~ ! [SY800: $i] :
( ~ ( ssList @ SY800 )
| ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY800 ) @ SV73 ) )
| ~ ! [SY801: $i] :
( ~ ( ssList @ SY801 )
| ~ ( memberP @ SY801 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY801 ) @ SV73 ) ) ) ) )
= $true )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(682,plain,
! [SV74: $i] :
( ( ( nil = SV74 )
= $true )
| ( ( ~ ( ( ( tl @ SV74 )
!= ( sK5_V @ SV74 ) )
| ~ ( ssList @ ( sK5_V @ SV74 ) ) ) )
= $true )
| ( ( ssList @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(683,plain,
! [SV130: $i] :
( ( ~ ( ssList @ SV130 )
| ~ ( ~ ( ssItem @ ( sK23_V @ SV130 ) )
| ~ ~ ( ~ ( ssItem @ ( sK24_SY596 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) ) ) )
| ( totalorderedP @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(684,plain,
! [SV131: $i] :
( ( ~ ( ssList @ SV131 )
| ~ ( totalorderedP @ SV131 )
| ! [SY802: $i] :
( ~ ( ssItem @ SY802 )
| ! [SY803: $i] :
( ~ ( ssItem @ SY803 )
| ! [SY804: $i] :
( ~ ( ssList @ SY804 )
| ! [SY805: $i] :
( ~ ( ssList @ SY805 )
| ! [SY806: $i] :
( ~ ( ssList @ SY806 )
| ( ( app @ ( app @ SY804 @ ( cons @ SY802 @ SY805 ) ) @ ( cons @ SY803 @ SY806 ) )
!= SV131 )
| ( leq @ SY802 @ SY803 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(685,plain,
! [SV132: $i] :
( ( ~ ( ssList @ SV132 )
| ( nil != SV132 )
| ( segmentP @ nil @ SV132 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(686,plain,
! [SV133: $i] :
( ( ~ ( ssList @ SV133 )
| ~ ( segmentP @ nil @ SV133 )
| ( nil = SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(687,plain,
! [SV1: $i,SV75: $i] :
( ( ( ~ ( ssItem @ SV75 ) )
= $true )
| ( ( ssList @ ( cons @ SV75 @ SV1 ) )
= $true )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(688,plain,
! [SV2: $i,SV76: $i] :
( ( ( ~ ( ssItem @ SV76 ) )
= $true )
| ( ( ( ( cons @ SV76 @ SV2 )
!= SV2 ) )
= $true )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(689,plain,
! [SV3: $i,SV77: $i] :
( ( ( ~ ( ssItem @ SV77 ) )
= $true )
| ( ( ( nil
!= ( cons @ SV77 @ SV3 ) ) )
= $true )
| ( ( ssList @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(690,plain,
! [SV5: $i,SV78: $i] :
( ( ( ~ ( ssItem @ SV78 ) )
= $true )
| ( ( ( hd @ ( cons @ SV78 @ SV5 ) )
= SV78 )
= $true )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(691,plain,
! [SV7: $i,SV79: $i] :
( ( ( ~ ( ssItem @ SV79 ) )
= $true )
| ( ( ( tl @ ( cons @ SV79 @ SV7 ) )
= SV7 )
= $true )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(692,plain,
! [SV8: $i,SV80: $i] :
( ( ( ~ ( ssList @ SV80 ) )
= $true )
| ( ( ssList @ ( app @ SV8 @ SV80 ) )
= $true )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(693,plain,
! [SV9: $i,SV81: $i] :
( ( ( ~ ( ssList @ SV81 ) )
= $true )
| ( ( ! [SY743: $i] :
( ~ ( ssItem @ SY743 )
| ( ( cons @ SY743 @ ( app @ SV81 @ SV9 ) )
= ( app @ ( cons @ SY743 @ SV81 ) @ SV9 ) ) ) )
= $true )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(694,plain,
! [SV11: $i,SV82: $i] :
( ( ( ~ ( ssItem @ SV82 ) )
= $true )
| ( ( ~ ( leq @ SV11 @ SV82 )
| ~ ( leq @ SV82 @ SV11 )
| ( SV11 = SV82 ) )
= $true )
| ( ( ssItem @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[615]) ).
thf(695,plain,
! [SV12: $i,SV83: $i] :
( ( ( ~ ( ssItem @ SV83 ) )
= $true )
| ( ( ! [SY744: $i] :
( ~ ( ssItem @ SY744 )
| ~ ( leq @ SV12 @ SV83 )
| ~ ( leq @ SV83 @ SY744 )
| ( leq @ SV12 @ SY744 ) ) )
= $true )
| ( ( ssItem @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(696,plain,
! [SV14: $i,SV84: $i] :
( ( ( ~ ( ssItem @ SV84 ) )
= $true )
| ( ( ~ ( lt @ SV14 @ SV84 )
| ~ ( lt @ SV84 @ SV14 ) )
= $true )
| ( ( ssItem @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(697,plain,
! [SV15: $i,SV85: $i] :
( ( ( ~ ( ssItem @ SV85 ) )
= $true )
| ( ( ! [SY745: $i] :
( ~ ( ssItem @ SY745 )
| ~ ( lt @ SV15 @ SV85 )
| ~ ( lt @ SV85 @ SY745 )
| ( lt @ SV15 @ SY745 ) ) )
= $true )
| ( ( ssItem @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(698,plain,
! [SV17: $i,SV86: $i] :
( ( ( ~ ( ssList @ SV86 ) )
= $true )
| ( ( ! [SY746: $i] :
( ~ ( ssList @ SY746 )
| ~ ( frontsegP @ SV17 @ SV86 )
| ~ ( frontsegP @ SV86 @ SY746 )
| ( frontsegP @ SV17 @ SY746 ) ) )
= $true )
| ( ( ssList @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(699,plain,
! [SV18: $i,SV87: $i] :
( ( ( ~ ( ssList @ SV87 ) )
= $true )
| ( ( ~ ( frontsegP @ SV18 @ SV87 )
| ~ ( frontsegP @ SV87 @ SV18 )
| ( SV18 = SV87 ) )
= $true )
| ( ( ssList @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(700,plain,
! [SV20: $i,SV88: $i] :
( ( ( ~ ( ssList @ SV88 ) )
= $true )
| ( ( ! [SY747: $i] :
( ~ ( ssList @ SY747 )
| ~ ( frontsegP @ SV20 @ SV88 )
| ( frontsegP @ ( app @ SV20 @ SY747 ) @ SV88 ) ) )
= $true )
| ( ( ssList @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(701,plain,
! [SV22: $i,SV89: $i] :
( ( ( ~ ( ssList @ SV89 ) )
= $true )
| ( ( ! [SY748: $i] :
( ~ ( ssList @ SY748 )
| ~ ( rearsegP @ SV22 @ SV89 )
| ~ ( rearsegP @ SV89 @ SY748 )
| ( rearsegP @ SV22 @ SY748 ) ) )
= $true )
| ( ( ssList @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(702,plain,
! [SV23: $i,SV90: $i] :
( ( ( ~ ( ssList @ SV90 ) )
= $true )
| ( ( ~ ( rearsegP @ SV23 @ SV90 )
| ~ ( rearsegP @ SV90 @ SV23 )
| ( SV23 = SV90 ) )
= $true )
| ( ( ssList @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(703,plain,
! [SV25: $i,SV91: $i] :
( ( ( ~ ( ssList @ SV91 ) )
= $true )
| ( ( ! [SY749: $i] :
( ~ ( ssList @ SY749 )
| ~ ( rearsegP @ SV25 @ SV91 )
| ( rearsegP @ ( app @ SY749 @ SV25 ) @ SV91 ) ) )
= $true )
| ( ( ssList @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(704,plain,
! [SV27: $i,SV92: $i] :
( ( ( ~ ( ssList @ SV92 ) )
= $true )
| ( ( ! [SY750: $i] :
( ~ ( ssList @ SY750 )
| ~ ( segmentP @ SV27 @ SV92 )
| ~ ( segmentP @ SV92 @ SY750 )
| ( segmentP @ SV27 @ SY750 ) ) )
= $true )
| ( ( ssList @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(705,plain,
! [SV28: $i,SV93: $i] :
( ( ( ~ ( ssList @ SV93 ) )
= $true )
| ( ( ~ ( segmentP @ SV28 @ SV93 )
| ~ ( segmentP @ SV93 @ SV28 )
| ( SV28 = SV93 ) )
= $true )
| ( ( ssList @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(706,plain,
! [SV30: $i,SV94: $i] :
( ( ( ~ ( ssList @ SV94 ) )
= $true )
| ( ( ! [SY751: $i] :
( ~ ( ssList @ SY751 )
| ! [SY752: $i] :
( ~ ( ssList @ SY752 )
| ~ ( segmentP @ SV30 @ SV94 )
| ( segmentP @ ( app @ ( app @ SY751 @ SV30 ) @ SY752 ) @ SV94 ) ) ) )
= $true )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(707,plain,
! [SV39: $i,SV95: $i] :
( ( ( ~ ( ssList @ SV95 ) )
= $true )
| ( ( ( nil = SV95 )
| ( nil = SV39 )
| ( ( hd @ SV95 )
!= ( hd @ SV39 ) )
| ( ( tl @ SV95 )
!= ( tl @ SV39 ) )
| ( SV95 = SV39 ) )
= $true )
| ( ( ssList @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(708,plain,
! [SV41: $i,SV96: $i] :
( ( ( ~ ( ssList @ SV96 ) )
= $true )
| ( ( ! [SY753: $i] :
( ~ ( ssList @ SY753 )
| ( ( app @ SY753 @ SV96 )
!= ( app @ SV41 @ SV96 ) )
| ( SY753 = SV41 ) ) )
= $true )
| ( ( ssList @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(709,plain,
! [SV42: $i,SV97: $i] :
( ( ( ~ ( ssList @ SV97 ) )
= $true )
| ( ( ! [SY754: $i] :
( ~ ( ssList @ SY754 )
| ( ( app @ SV97 @ SY754 )
!= ( app @ SV97 @ SV42 ) )
| ( SY754 = SV42 ) ) )
= $true )
| ( ( ssList @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(710,plain,
! [SV43: $i,SV98: $i] :
( ( ( ~ ( ssItem @ SV98 ) )
= $true )
| ( ( ( cons @ SV98 @ SV43 )
= ( app @ ( cons @ SV98 @ nil ) @ SV43 ) )
= $true )
| ( ( ssList @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(711,plain,
! [SV44: $i,SV99: $i] :
( ( ( ~ ( ssList @ SV99 ) )
= $true )
| ( ( ! [SY755: $i] :
( ~ ( ssList @ SY755 )
| ( ( app @ ( app @ SV44 @ SV99 ) @ SY755 )
= ( app @ SV44 @ ( app @ SV99 @ SY755 ) ) ) ) )
= $true )
| ( ( ssList @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(712,plain,
! [SV46: $i,SV100: $i] :
( ( ( ~ ( ssList @ SV100 ) )
= $true )
| ( ( ( nil = SV46 )
| ( ( hd @ ( app @ SV46 @ SV100 ) )
= ( hd @ SV46 ) ) )
= $true )
| ( ( ssList @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(713,plain,
! [SV47: $i,SV101: $i] :
( ( ( ~ ( ssList @ SV101 ) )
= $true )
| ( ( ( nil = SV47 )
| ( ( tl @ ( app @ SV47 @ SV101 ) )
= ( app @ ( tl @ SV47 ) @ SV101 ) ) )
= $true )
| ( ( ssList @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(714,plain,
! [SV48: $i,SV102: $i] :
( ( ( ~ ( ssItem @ SV102 ) )
= $true )
| ( ( ~ ( geq @ SV48 @ SV102 )
| ~ ( geq @ SV102 @ SV48 )
| ( SV48 = SV102 ) )
= $true )
| ( ( ssItem @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(715,plain,
! [SV49: $i,SV103: $i] :
( ( ( ~ ( ssItem @ SV103 ) )
= $true )
| ( ( ! [SY756: $i] :
( ~ ( ssItem @ SY756 )
| ~ ( geq @ SV49 @ SV103 )
| ~ ( geq @ SV103 @ SY756 )
| ( geq @ SV49 @ SY756 ) ) )
= $true )
| ( ( ssItem @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(716,plain,
! [SV52: $i,SV104: $i] :
( ( ( ~ ( ssItem @ SV104 ) )
= $true )
| ( ( ! [SY757: $i] :
( ~ ( ssItem @ SY757 )
| ~ ( leq @ SV52 @ SV104 )
| ~ ( lt @ SV104 @ SY757 )
| ( lt @ SV52 @ SY757 ) ) )
= $true )
| ( ( ssItem @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(717,plain,
! [SV53: $i,SV105: $i] :
( ( ( ~ ( ssItem @ SV105 ) )
= $true )
| ( ( ~ ( leq @ SV53 @ SV105 )
| ( SV53 = SV105 )
| ( lt @ SV53 @ SV105 ) )
= $true )
| ( ( ssItem @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(718,plain,
! [SV54: $i,SV106: $i] :
( ( ( ~ ( ssItem @ SV106 ) )
= $true )
| ( ( ~ ( gt @ SV54 @ SV106 )
| ~ ( gt @ SV106 @ SV54 ) )
= $true )
| ( ( ssItem @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(719,plain,
! [SV55: $i,SV107: $i] :
( ( ( ~ ( ssItem @ SV107 ) )
= $true )
| ( ( ! [SY758: $i] :
( ~ ( ssItem @ SY758 )
| ~ ( gt @ SV55 @ SV107 )
| ~ ( gt @ SV107 @ SY758 )
| ( gt @ SV55 @ SY758 ) ) )
= $true )
| ( ( ssItem @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(720,plain,
! [SV56: $i] :
( ( ( ( ( hd @ SV56 )
!= ( sK6_V @ SV56 ) )
| ~ ( ssItem @ ( sK6_V @ SV56 ) ) )
= $false )
| ( ( nil = SV56 )
= $true )
| ( ( ssList @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(721,plain,
! [SV57: $i,SV108: $i] :
( ( ( ~ ( ssItem @ SV108 ) )
= $true )
| ( ( ! [SY759: $i] :
( ~ ( ssList @ SY759 )
| ~ ( ~ ! [SY760: $i] :
( ~ ( ssList @ SY760 )
| ( SV57 != SV108 )
| ~ ( frontsegP @ SY759 @ SY760 )
| ( frontsegP @ ( cons @ SV57 @ SY759 ) @ ( cons @ SV108 @ SY760 ) ) )
| ~ ~ ( ~ ! [SY761: $i] :
( ~ ( ssList @ SY761 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY759 ) @ ( cons @ SV108 @ SY761 ) )
| ( SV57 = SV108 ) )
| ~ ! [SY762: $i] :
( ~ ( ssList @ SY762 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY759 ) @ ( cons @ SV108 @ SY762 ) )
| ( frontsegP @ SY759 @ SY762 ) ) ) ) ) )
= $true )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(722,plain,
! [SV109: $i] :
( ( ( ~ ( ssList @ SV109 ) )
= $true )
| ( ( ~ ( ~ ( ssItem @ ( sK28_V @ SV109 ) )
| ~ ~ ( ~ ( ssItem @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) ) ) )
| ( strictorderP @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(723,plain,
! [SV110: $i] :
( ( ( ~ ( ssList @ SV110 ) )
= $true )
| ( ( ~ ( strictorderP @ SV110 )
| ! [SY763: $i] :
( ~ ( ssItem @ SY763 )
| ! [SY764: $i] :
( ~ ( ssItem @ SY764 )
| ! [SY765: $i] :
( ~ ( ssList @ SY765 )
| ! [SY766: $i] :
( ~ ( ssList @ SY766 )
| ! [SY767: $i] :
( ~ ( ssList @ SY767 )
| ( ( app @ ( app @ SY765 @ ( cons @ SY763 @ SY766 ) ) @ ( cons @ SY764 @ SY767 ) )
!= SV110 )
| ( lt @ SY763 @ SY764 )
| ( lt @ SY764 @ SY763 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(724,plain,
! [SV58: $i] :
( ( ( ~ ! [SY693: $i] :
( ~ ( ssItem @ SY693 )
| ! [SY694: $i] :
( ! [SY695: $i] :
( ( ( app @ SY694 @ ( cons @ SY693 @ SY695 ) )
!= SV58 )
| ~ ( ssList @ SY695 ) )
| ~ ( ssList @ SY694 ) )
| ( memberP @ SV58 @ SY693 ) ) )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(725,plain,
! [SV58: $i] :
( ( ( ~ ! [SY696: $i] :
( ~ ( ssItem @ SY696 )
| ~ ( memberP @ SV58 @ SY696 )
| ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SY696 @ SV58 ) @ ( cons @ SY696 @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SY696 @ SV58 ) ) ) ) )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(726,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) )
| ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) )
| ~ ! [SY699: $i] :
( ~ ( ssList @ SY699 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY699 ) )
| ( leq @ SV59 @ ( hd @ SY699 ) )
| ( nil = SY699 ) ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[649]) ).
thf(727,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ! [SY700: $i] :
( ~ ( ssList @ SY700 )
| ( nil = SY700 )
| ~ ( totalorderedP @ SY700 )
| ~ ( leq @ SV59 @ ( hd @ SY700 ) )
| ( totalorderedP @ ( cons @ SV59 @ SY700 ) ) )
| ~ ! [SY701: $i] :
( ~ ( ssList @ SY701 )
| ( nil != SY701 )
| ( totalorderedP @ ( cons @ SV59 @ SY701 ) ) ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[649]) ).
thf(728,plain,
! [SV60: $i] :
( ( ( ~ ! [SY702: $i] :
( ~ ( ssItem @ SY702 )
| ~ ( gt @ SV60 @ SY702 )
| ( lt @ SY702 @ SV60 ) ) )
= $false )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(729,plain,
! [SV60: $i] :
( ( ( ~ ! [SY703: $i] :
( ~ ( ssItem @ SY703 )
| ~ ( lt @ SY703 @ SV60 )
| ( gt @ SV60 @ SY703 ) ) )
= $false )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(730,plain,
! [SV61: $i] :
( ( ( ~ ! [SY704: $i] :
( ~ ( ssList @ SY704 )
| ! [SY705: $i] :
( ( ( app @ SY704 @ SY705 )
!= SV61 )
| ~ ( ssList @ SY705 ) )
| ( frontsegP @ SV61 @ SY704 ) ) )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(731,plain,
! [SV61: $i] :
( ( ( ~ ! [SY706: $i] :
( ~ ( ssList @ SY706 )
| ~ ( frontsegP @ SV61 @ SY706 )
| ~ ( ( ( app @ SY706 @ ( sK46_W @ SY706 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SY706 @ SV61 ) ) ) ) )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(732,plain,
! [SV62: $i] :
( ( ( ~ ! [SY707: $i] :
( ~ ( ssItem @ SY707 )
| ~ ( geq @ SV62 @ SY707 )
| ( leq @ SY707 @ SV62 ) ) )
= $false )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(733,plain,
! [SV62: $i] :
( ( ( ~ ! [SY708: $i] :
( ~ ( ssItem @ SY708 )
| ~ ( leq @ SY708 @ SV62 )
| ( geq @ SV62 @ SY708 ) ) )
= $false )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(734,plain,
! [SV111: $i] :
( ( ( ~ ( ssList @ SV111 ) )
= $true )
| ( ( ~ ( ~ ( ssItem @ ( sK9_V @ SV111 ) )
| ~ ~ ( ~ ( ssItem @ ( sK10_SY570 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) ) ) )
| ( equalelemsP @ SV111 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(735,plain,
! [SV112: $i] :
( ( ( ~ ( ssList @ SV112 ) )
= $true )
| ( ( ~ ( equalelemsP @ SV112 )
| ! [SY768: $i] :
( ~ ( ssItem @ SY768 )
| ! [SY769: $i] :
( ~ ( ssItem @ SY769 )
| ! [SY770: $i] :
( ~ ( ssList @ SY770 )
| ! [SY771: $i] :
( ~ ( ssList @ SY771 )
| ( ( app @ SY770 @ ( cons @ SY768 @ ( cons @ SY769 @ SY771 ) ) )
!= SV112 )
| ( SY768 = SY769 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(736,plain,
! [SV113: $i] :
( ( ( ~ ( ssList @ SV113 ) )
= $true )
| ( ( ~ ( ~ ( ssItem @ ( sK33_V @ SV113 ) )
| ~ ~ ( ~ ( ssItem @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) ) ) )
| ( totalorderP @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(737,plain,
! [SV114: $i] :
( ( ( ~ ( ssList @ SV114 ) )
= $true )
| ( ( ~ ( totalorderP @ SV114 )
| ! [SY772: $i] :
( ~ ( ssItem @ SY772 )
| ! [SY773: $i] :
( ~ ( ssItem @ SY773 )
| ! [SY774: $i] :
( ~ ( ssList @ SY774 )
| ! [SY775: $i] :
( ~ ( ssList @ SY775 )
| ! [SY776: $i] :
( ~ ( ssList @ SY776 )
| ( ( app @ ( app @ SY774 @ ( cons @ SY772 @ SY775 ) ) @ ( cons @ SY773 @ SY776 ) )
!= SV114 )
| ( leq @ SY772 @ SY773 )
| ( leq @ SY773 @ SY772 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(738,plain,
( ( ~ ( ( sK50_U != sK51_SY638 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(739,plain,
( ( ~ ( ssItem @ sK51_SY638 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(740,plain,
! [SV63: $i] :
( ( ( ~ ! [SY709: $i] :
( ~ ( ssList @ SY709 )
| ( SV63 = SY709 )
| ( neq @ SV63 @ SY709 ) ) )
= $false )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(741,plain,
! [SV63: $i] :
( ( ( ~ ! [SY710: $i] :
( ~ ( ssList @ SY710 )
| ~ ( neq @ SV63 @ SY710 )
| ( SV63 != SY710 ) ) )
= $false )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(742,plain,
! [SV115: $i] :
( ( ( ~ ( ssList @ SV115 ) )
= $true )
| ( ( ~ ( ~ ( ssItem @ ( sK13_V @ SV115 ) )
| ~ ~ ( ~ ( ssItem @ ( sK14_SY576 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) ) ) )
| ( duplicatefreeP @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(743,plain,
! [SV116: $i] :
( ( ( ~ ( ssList @ SV116 ) )
= $true )
| ( ( ~ ( duplicatefreeP @ SV116 )
| ! [SY777: $i] :
( ~ ( ssItem @ SY777 )
| ! [SY778: $i] :
( ~ ( ssItem @ SY778 )
| ! [SY779: $i] :
( ~ ( ssList @ SY779 )
| ! [SY780: $i] :
( ~ ( ssList @ SY780 )
| ! [SY781: $i] :
( ~ ( ssList @ SY781 )
| ( ( app @ ( app @ SY779 @ ( cons @ SY777 @ SY780 ) ) @ ( cons @ SY778 @ SY781 ) )
!= SV116 )
| ( SY777 != SY778 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(744,plain,
! [SV117: $i] :
( ( ( ~ ( ssList @ SV117 ) )
= $true )
| ( ( ~ ( ~ ( ssItem @ ( sK18_V @ SV117 ) )
| ~ ~ ( ~ ( ssItem @ ( sK19_SY586 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) ) ) )
| ( strictorderedP @ SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(745,plain,
! [SV118: $i] :
( ( ( ~ ( ssList @ SV118 ) )
= $true )
| ( ( ~ ( strictorderedP @ SV118 )
| ! [SY782: $i] :
( ~ ( ssItem @ SY782 )
| ! [SY783: $i] :
( ~ ( ssItem @ SY783 )
| ! [SY784: $i] :
( ~ ( ssList @ SY784 )
| ! [SY785: $i] :
( ~ ( ssList @ SY785 )
| ! [SY786: $i] :
( ~ ( ssList @ SY786 )
| ( ( app @ ( app @ SY784 @ ( cons @ SY782 @ SY785 ) ) @ ( cons @ SY783 @ SY786 ) )
!= SV118 )
| ( lt @ SY782 @ SY783 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(746,plain,
! [SV64: $i,SV119: $i] :
( ( ( ~ ( ssList @ SV119 ) )
= $true )
| ( ( ! [SY787: $i] :
( ~ ( ssItem @ SY787 )
| ~ ( ~ ! [SY788: $i] :
( ~ ( ssItem @ SY788 )
| ( ( cons @ SY787 @ SV64 )
!= ( cons @ SY788 @ SV119 ) )
| ( SY787 = SY788 ) )
| ~ ! [SY789: $i] :
( ~ ( ssItem @ SY789 )
| ( ( cons @ SY787 @ SV64 )
!= ( cons @ SY789 @ SV119 ) )
| ( SV119 = SV64 ) ) ) ) )
= $true )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(747,plain,
! [SV65: $i] :
( ( ( ~ ! [SY715: $i] :
( ~ ( ssItem @ SY715 )
| ( SV65 = SY715 )
| ~ ( leq @ SV65 @ SY715 )
| ( lt @ SV65 @ SY715 ) ) )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(748,plain,
! [SV65: $i] :
( ( ( ~ ~ ( ~ ! [SY716: $i] :
( ~ ( ssItem @ SY716 )
| ~ ( lt @ SV65 @ SY716 )
| ( SV65 != SY716 ) )
| ~ ! [SY717: $i] :
( ~ ( ssItem @ SY717 )
| ~ ( lt @ SV65 @ SY717 )
| ( leq @ SV65 @ SY717 ) ) ) )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(749,plain,
! [SV66: $i] :
( ( ( ~ ! [SY718: $i] :
( ~ ( ssList @ SY718 )
| ! [SY719: $i] :
( ( ( app @ SY719 @ SY718 )
!= SV66 )
| ~ ( ssList @ SY719 ) )
| ( rearsegP @ SV66 @ SY718 ) ) )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(750,plain,
! [SV66: $i] :
( ( ( ~ ! [SY720: $i] :
( ~ ( ssList @ SY720 )
| ~ ( rearsegP @ SV66 @ SY720 )
| ~ ( ( ( app @ ( sK45_W @ SY720 @ SV66 ) @ SY720 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SY720 @ SV66 ) ) ) ) )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(751,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ( ( cons @ ( sK8_SY569 @ SV67 ) @ ( sK7_V @ SV67 ) )
!= SV67 )
| ~ ( ssItem @ ( sK8_SY569 @ SV67 ) ) )
| ~ ( ssList @ ( sK7_V @ SV67 ) ) )
= $false )
| ( ( nil = SV67 )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(752,plain,
! [SV68: $i] :
( ( ( ~ ! [SY721: $i] :
( ~ ( ssList @ SY721 )
| ( nil != SY721 )
| ( nil != SV68 )
| ( nil
= ( app @ SV68 @ SY721 ) ) ) )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(753,plain,
! [SV68: $i] :
( ( ( ~ ~ ( ~ ! [SY722: $i] :
( ~ ( ssList @ SY722 )
| ( nil
!= ( app @ SV68 @ SY722 ) )
| ( nil = SY722 ) )
| ~ ! [SY723: $i] :
( ~ ( ssList @ SY723 )
| ( nil
!= ( app @ SV68 @ SY723 ) )
| ( nil = SV68 ) ) ) )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(754,plain,
! [SV120: $i] :
( ( ( ~ ( ssList @ SV120 ) )
= $true )
| ( ( ! [SY790: $i] :
( ( ( cons @ SY790 @ nil )
!= SV120 )
| ~ ( ssItem @ SY790 ) )
| ( singletonP @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(755,plain,
! [SV121: $i] :
( ( ( ~ ( ssList @ SV121 ) )
= $true )
| ( ( ~ ( singletonP @ SV121 )
| ~ ( ( ( cons @ ( sK47_V @ SV121 ) @ nil )
!= SV121 )
| ~ ( ssItem @ ( sK47_V @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(756,plain,
! [SV69: $i,SV122: $i] :
( ( ( ~ ( ssItem @ SV122 ) )
= $true )
| ( ( ~ ( ~ ! [SY791: $i] :
( ~ ( ssList @ SY791 )
| ~ ( memberP @ ( cons @ SV122 @ SY791 ) @ SV69 )
| ( SV69 = SV122 )
| ( memberP @ SY791 @ SV69 ) )
| ~ ~ ( ~ ! [SY792: $i] :
( ~ ( ssList @ SY792 )
| ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SY792 ) @ SV69 ) )
| ~ ! [SY793: $i] :
( ~ ( ssList @ SY793 )
| ~ ( memberP @ SY793 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SY793 ) @ SV69 ) ) ) ) )
= $true )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(757,plain,
! [SV70: $i] :
( ( ( ~ ! [SY728: $i] :
( ~ ( ssList @ SY728 )
| ! [SY729: $i] :
( ! [SY730: $i] :
( ( ( app @ ( app @ SY729 @ SY728 ) @ SY730 )
!= SV70 )
| ~ ( ssList @ SY730 ) )
| ~ ( ssList @ SY729 ) )
| ( segmentP @ SV70 @ SY728 ) ) )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(758,plain,
! [SV70: $i] :
( ( ( ~ ! [SY731: $i] :
( ~ ( ssList @ SY731 )
| ~ ( segmentP @ SV70 @ SY731 )
| ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SY731 @ SV70 ) @ SY731 ) @ ( sK44_SY636 @ SY731 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SY731 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SY731 @ SV70 ) ) ) ) )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(759,plain,
! [SV71: $i] :
( ( ( ~ ! [SY732: $i] :
( ~ ( ssItem @ SY732 )
| ( SV71 = SY732 )
| ( neq @ SV71 @ SY732 ) ) )
= $false )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(760,plain,
! [SV71: $i] :
( ( ( ~ ! [SY733: $i] :
( ~ ( ssItem @ SY733 )
| ~ ( neq @ SV71 @ SY733 )
| ( SV71 != SY733 ) ) )
= $false )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(761,plain,
! [SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) )
| ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) )
| ~ ! [SY736: $i] :
( ~ ( ssList @ SY736 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY736 ) )
| ( lt @ SV72 @ ( hd @ SY736 ) )
| ( nil = SY736 ) ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(762,plain,
! [SV72: $i] :
( ( ( ~ ~ ( ~ ! [SY737: $i] :
( ~ ( ssList @ SY737 )
| ( nil = SY737 )
| ~ ( strictorderedP @ SY737 )
| ~ ( lt @ SV72 @ ( hd @ SY737 ) )
| ( strictorderedP @ ( cons @ SV72 @ SY737 ) ) )
| ~ ! [SY738: $i] :
( ~ ( ssList @ SY738 )
| ( nil != SY738 )
| ( strictorderedP @ ( cons @ SV72 @ SY738 ) ) ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(763,plain,
! [SV123: $i] :
( ( ( ~ ( ssList @ SV123 ) )
= $true )
| ( ( ( nil != SV123 )
| ( rearsegP @ nil @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(764,plain,
! [SV124: $i] :
( ( ( ~ ( ssList @ SV124 ) )
= $true )
| ( ( ~ ( rearsegP @ nil @ SV124 )
| ( nil = SV124 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(765,plain,
! [SV125: $i] :
( ( ( ~ ( ssList @ SV125 ) )
= $true )
| ( ( ( nil != SV125 )
| ( frontsegP @ nil @ SV125 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(766,plain,
! [SV126: $i] :
( ( ( ~ ( ssList @ SV126 ) )
= $true )
| ( ( ~ ( frontsegP @ nil @ SV126 )
| ( nil = SV126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(767,plain,
! [SV127: $i] :
( ( ( ~ ( ssList @ SV127 ) )
= $true )
| ( ( ~ ( ~ ( ssItem @ ( sK38_V @ SV127 ) )
| ~ ~ ( ~ ( ssItem @ ( sK39_SY626 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) ) ) )
| ( cyclefreeP @ SV127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(768,plain,
! [SV128: $i] :
( ( ( ~ ( ssList @ SV128 ) )
= $true )
| ( ( ~ ( cyclefreeP @ SV128 )
| ! [SY794: $i] :
( ~ ( ssItem @ SY794 )
| ! [SY795: $i] :
( ~ ( ssItem @ SY795 )
| ! [SY796: $i] :
( ~ ( ssList @ SY796 )
| ! [SY797: $i] :
( ~ ( ssList @ SY797 )
| ! [SY798: $i] :
( ~ ( ssList @ SY798 )
| ( ( app @ ( app @ SY796 @ ( cons @ SY794 @ SY797 ) ) @ ( cons @ SY795 @ SY798 ) )
!= SV128 )
| ~ ( leq @ SY794 @ SY795 )
| ~ ( leq @ SY795 @ SY794 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(769,plain,
( ( ~ ( ssList @ sK3_SY554 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(770,plain,
( ( ~ ~ ( ~ ( ssList @ sK4_SY560 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(771,plain,
! [SV73: $i,SV129: $i] :
( ( ( ~ ( ssList @ SV129 ) )
= $true )
| ( ( ~ ( ~ ! [SY799: $i] :
( ~ ( ssList @ SY799 )
| ~ ( memberP @ ( app @ SV129 @ SY799 ) @ SV73 )
| ( memberP @ SV129 @ SV73 )
| ( memberP @ SY799 @ SV73 ) )
| ~ ~ ( ~ ! [SY800: $i] :
( ~ ( ssList @ SY800 )
| ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY800 ) @ SV73 ) )
| ~ ! [SY801: $i] :
( ~ ( ssList @ SY801 )
| ~ ( memberP @ SY801 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY801 ) @ SV73 ) ) ) ) )
= $true )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(772,plain,
! [SV74: $i] :
( ( ( ( ( tl @ SV74 )
!= ( sK5_V @ SV74 ) )
| ~ ( ssList @ ( sK5_V @ SV74 ) ) )
= $false )
| ( ( nil = SV74 )
= $true )
| ( ( ssList @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(773,plain,
! [SV130: $i] :
( ( ( ~ ( ssList @ SV130 ) )
= $true )
| ( ( ~ ( ~ ( ssItem @ ( sK23_V @ SV130 ) )
| ~ ~ ( ~ ( ssItem @ ( sK24_SY596 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) ) ) )
| ( totalorderedP @ SV130 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(774,plain,
! [SV131: $i] :
( ( ( ~ ( ssList @ SV131 ) )
= $true )
| ( ( ~ ( totalorderedP @ SV131 )
| ! [SY802: $i] :
( ~ ( ssItem @ SY802 )
| ! [SY803: $i] :
( ~ ( ssItem @ SY803 )
| ! [SY804: $i] :
( ~ ( ssList @ SY804 )
| ! [SY805: $i] :
( ~ ( ssList @ SY805 )
| ! [SY806: $i] :
( ~ ( ssList @ SY806 )
| ( ( app @ ( app @ SY804 @ ( cons @ SY802 @ SY805 ) ) @ ( cons @ SY803 @ SY806 ) )
!= SV131 )
| ( leq @ SY802 @ SY803 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(775,plain,
! [SV132: $i] :
( ( ( ~ ( ssList @ SV132 ) )
= $true )
| ( ( ( nil != SV132 )
| ( segmentP @ nil @ SV132 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(776,plain,
! [SV133: $i] :
( ( ( ~ ( ssList @ SV133 ) )
= $true )
| ( ( ~ ( segmentP @ nil @ SV133 )
| ( nil = SV133 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(777,plain,
! [SV1: $i,SV75: $i] :
( ( ( ssItem @ SV75 )
= $false )
| ( ( ssList @ ( cons @ SV75 @ SV1 ) )
= $true )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(778,plain,
! [SV2: $i,SV76: $i] :
( ( ( ssItem @ SV76 )
= $false )
| ( ( ( ( cons @ SV76 @ SV2 )
!= SV2 ) )
= $true )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(779,plain,
! [SV3: $i,SV77: $i] :
( ( ( ssItem @ SV77 )
= $false )
| ( ( ( nil
!= ( cons @ SV77 @ SV3 ) ) )
= $true )
| ( ( ssList @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(780,plain,
! [SV5: $i,SV78: $i] :
( ( ( ssItem @ SV78 )
= $false )
| ( ( ( hd @ ( cons @ SV78 @ SV5 ) )
= SV78 )
= $true )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(781,plain,
! [SV7: $i,SV79: $i] :
( ( ( ssItem @ SV79 )
= $false )
| ( ( ( tl @ ( cons @ SV79 @ SV7 ) )
= SV7 )
= $true )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(782,plain,
! [SV8: $i,SV80: $i] :
( ( ( ssList @ SV80 )
= $false )
| ( ( ssList @ ( app @ SV8 @ SV80 ) )
= $true )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(783,plain,
! [SV9: $i,SV81: $i] :
( ( ( ssList @ SV81 )
= $false )
| ( ( ! [SY743: $i] :
( ~ ( ssItem @ SY743 )
| ( ( cons @ SY743 @ ( app @ SV81 @ SV9 ) )
= ( app @ ( cons @ SY743 @ SV81 ) @ SV9 ) ) ) )
= $true )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(784,plain,
! [SV11: $i,SV82: $i] :
( ( ( ssItem @ SV82 )
= $false )
| ( ( ~ ( leq @ SV11 @ SV82 )
| ~ ( leq @ SV82 @ SV11 )
| ( SV11 = SV82 ) )
= $true )
| ( ( ssItem @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(785,plain,
! [SV12: $i,SV83: $i] :
( ( ( ssItem @ SV83 )
= $false )
| ( ( ! [SY744: $i] :
( ~ ( ssItem @ SY744 )
| ~ ( leq @ SV12 @ SV83 )
| ~ ( leq @ SV83 @ SY744 )
| ( leq @ SV12 @ SY744 ) ) )
= $true )
| ( ( ssItem @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(786,plain,
! [SV14: $i,SV84: $i] :
( ( ( ssItem @ SV84 )
= $false )
| ( ( ~ ( lt @ SV14 @ SV84 )
| ~ ( lt @ SV84 @ SV14 ) )
= $true )
| ( ( ssItem @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(787,plain,
! [SV15: $i,SV85: $i] :
( ( ( ssItem @ SV85 )
= $false )
| ( ( ! [SY745: $i] :
( ~ ( ssItem @ SY745 )
| ~ ( lt @ SV15 @ SV85 )
| ~ ( lt @ SV85 @ SY745 )
| ( lt @ SV15 @ SY745 ) ) )
= $true )
| ( ( ssItem @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(788,plain,
! [SV17: $i,SV86: $i] :
( ( ( ssList @ SV86 )
= $false )
| ( ( ! [SY746: $i] :
( ~ ( ssList @ SY746 )
| ~ ( frontsegP @ SV17 @ SV86 )
| ~ ( frontsegP @ SV86 @ SY746 )
| ( frontsegP @ SV17 @ SY746 ) ) )
= $true )
| ( ( ssList @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(789,plain,
! [SV18: $i,SV87: $i] :
( ( ( ssList @ SV87 )
= $false )
| ( ( ~ ( frontsegP @ SV18 @ SV87 )
| ~ ( frontsegP @ SV87 @ SV18 )
| ( SV18 = SV87 ) )
= $true )
| ( ( ssList @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(790,plain,
! [SV20: $i,SV88: $i] :
( ( ( ssList @ SV88 )
= $false )
| ( ( ! [SY747: $i] :
( ~ ( ssList @ SY747 )
| ~ ( frontsegP @ SV20 @ SV88 )
| ( frontsegP @ ( app @ SV20 @ SY747 ) @ SV88 ) ) )
= $true )
| ( ( ssList @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(791,plain,
! [SV22: $i,SV89: $i] :
( ( ( ssList @ SV89 )
= $false )
| ( ( ! [SY748: $i] :
( ~ ( ssList @ SY748 )
| ~ ( rearsegP @ SV22 @ SV89 )
| ~ ( rearsegP @ SV89 @ SY748 )
| ( rearsegP @ SV22 @ SY748 ) ) )
= $true )
| ( ( ssList @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(792,plain,
! [SV23: $i,SV90: $i] :
( ( ( ssList @ SV90 )
= $false )
| ( ( ~ ( rearsegP @ SV23 @ SV90 )
| ~ ( rearsegP @ SV90 @ SV23 )
| ( SV23 = SV90 ) )
= $true )
| ( ( ssList @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(793,plain,
! [SV25: $i,SV91: $i] :
( ( ( ssList @ SV91 )
= $false )
| ( ( ! [SY749: $i] :
( ~ ( ssList @ SY749 )
| ~ ( rearsegP @ SV25 @ SV91 )
| ( rearsegP @ ( app @ SY749 @ SV25 ) @ SV91 ) ) )
= $true )
| ( ( ssList @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(794,plain,
! [SV27: $i,SV92: $i] :
( ( ( ssList @ SV92 )
= $false )
| ( ( ! [SY750: $i] :
( ~ ( ssList @ SY750 )
| ~ ( segmentP @ SV27 @ SV92 )
| ~ ( segmentP @ SV92 @ SY750 )
| ( segmentP @ SV27 @ SY750 ) ) )
= $true )
| ( ( ssList @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(795,plain,
! [SV28: $i,SV93: $i] :
( ( ( ssList @ SV93 )
= $false )
| ( ( ~ ( segmentP @ SV28 @ SV93 )
| ~ ( segmentP @ SV93 @ SV28 )
| ( SV28 = SV93 ) )
= $true )
| ( ( ssList @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(796,plain,
! [SV30: $i,SV94: $i] :
( ( ( ssList @ SV94 )
= $false )
| ( ( ! [SY751: $i] :
( ~ ( ssList @ SY751 )
| ! [SY752: $i] :
( ~ ( ssList @ SY752 )
| ~ ( segmentP @ SV30 @ SV94 )
| ( segmentP @ ( app @ ( app @ SY751 @ SV30 ) @ SY752 ) @ SV94 ) ) ) )
= $true )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(797,plain,
! [SV39: $i,SV95: $i] :
( ( ( ssList @ SV95 )
= $false )
| ( ( ( nil = SV95 )
| ( nil = SV39 )
| ( ( hd @ SV95 )
!= ( hd @ SV39 ) )
| ( ( tl @ SV95 )
!= ( tl @ SV39 ) )
| ( SV95 = SV39 ) )
= $true )
| ( ( ssList @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(798,plain,
! [SV41: $i,SV96: $i] :
( ( ( ssList @ SV96 )
= $false )
| ( ( ! [SY753: $i] :
( ~ ( ssList @ SY753 )
| ( ( app @ SY753 @ SV96 )
!= ( app @ SV41 @ SV96 ) )
| ( SY753 = SV41 ) ) )
= $true )
| ( ( ssList @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(799,plain,
! [SV42: $i,SV97: $i] :
( ( ( ssList @ SV97 )
= $false )
| ( ( ! [SY754: $i] :
( ~ ( ssList @ SY754 )
| ( ( app @ SV97 @ SY754 )
!= ( app @ SV97 @ SV42 ) )
| ( SY754 = SV42 ) ) )
= $true )
| ( ( ssList @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(800,plain,
! [SV43: $i,SV98: $i] :
( ( ( ssItem @ SV98 )
= $false )
| ( ( ( cons @ SV98 @ SV43 )
= ( app @ ( cons @ SV98 @ nil ) @ SV43 ) )
= $true )
| ( ( ssList @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(801,plain,
! [SV44: $i,SV99: $i] :
( ( ( ssList @ SV99 )
= $false )
| ( ( ! [SY755: $i] :
( ~ ( ssList @ SY755 )
| ( ( app @ ( app @ SV44 @ SV99 ) @ SY755 )
= ( app @ SV44 @ ( app @ SV99 @ SY755 ) ) ) ) )
= $true )
| ( ( ssList @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(802,plain,
! [SV46: $i,SV100: $i] :
( ( ( ssList @ SV100 )
= $false )
| ( ( ( nil = SV46 )
| ( ( hd @ ( app @ SV46 @ SV100 ) )
= ( hd @ SV46 ) ) )
= $true )
| ( ( ssList @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(803,plain,
! [SV47: $i,SV101: $i] :
( ( ( ssList @ SV101 )
= $false )
| ( ( ( nil = SV47 )
| ( ( tl @ ( app @ SV47 @ SV101 ) )
= ( app @ ( tl @ SV47 ) @ SV101 ) ) )
= $true )
| ( ( ssList @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(804,plain,
! [SV48: $i,SV102: $i] :
( ( ( ssItem @ SV102 )
= $false )
| ( ( ~ ( geq @ SV48 @ SV102 )
| ~ ( geq @ SV102 @ SV48 )
| ( SV48 = SV102 ) )
= $true )
| ( ( ssItem @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(805,plain,
! [SV49: $i,SV103: $i] :
( ( ( ssItem @ SV103 )
= $false )
| ( ( ! [SY756: $i] :
( ~ ( ssItem @ SY756 )
| ~ ( geq @ SV49 @ SV103 )
| ~ ( geq @ SV103 @ SY756 )
| ( geq @ SV49 @ SY756 ) ) )
= $true )
| ( ( ssItem @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(806,plain,
! [SV52: $i,SV104: $i] :
( ( ( ssItem @ SV104 )
= $false )
| ( ( ! [SY757: $i] :
( ~ ( ssItem @ SY757 )
| ~ ( leq @ SV52 @ SV104 )
| ~ ( lt @ SV104 @ SY757 )
| ( lt @ SV52 @ SY757 ) ) )
= $true )
| ( ( ssItem @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(807,plain,
! [SV53: $i,SV105: $i] :
( ( ( ssItem @ SV105 )
= $false )
| ( ( ~ ( leq @ SV53 @ SV105 )
| ( SV53 = SV105 )
| ( lt @ SV53 @ SV105 ) )
= $true )
| ( ( ssItem @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(808,plain,
! [SV54: $i,SV106: $i] :
( ( ( ssItem @ SV106 )
= $false )
| ( ( ~ ( gt @ SV54 @ SV106 )
| ~ ( gt @ SV106 @ SV54 ) )
= $true )
| ( ( ssItem @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(809,plain,
! [SV55: $i,SV107: $i] :
( ( ( ssItem @ SV107 )
= $false )
| ( ( ! [SY758: $i] :
( ~ ( ssItem @ SY758 )
| ~ ( gt @ SV55 @ SV107 )
| ~ ( gt @ SV107 @ SY758 )
| ( gt @ SV55 @ SY758 ) ) )
= $true )
| ( ( ssItem @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(810,plain,
! [SV56: $i] :
( ( ( ( ( hd @ SV56 )
!= ( sK6_V @ SV56 ) ) )
= $false )
| ( ( nil = SV56 )
= $true )
| ( ( ssList @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(811,plain,
! [SV56: $i] :
( ( ( ~ ( ssItem @ ( sK6_V @ SV56 ) ) )
= $false )
| ( ( nil = SV56 )
= $true )
| ( ( ssList @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[720]) ).
thf(812,plain,
! [SV57: $i,SV108: $i] :
( ( ( ssItem @ SV108 )
= $false )
| ( ( ! [SY759: $i] :
( ~ ( ssList @ SY759 )
| ~ ( ~ ! [SY760: $i] :
( ~ ( ssList @ SY760 )
| ( SV57 != SV108 )
| ~ ( frontsegP @ SY759 @ SY760 )
| ( frontsegP @ ( cons @ SV57 @ SY759 ) @ ( cons @ SV108 @ SY760 ) ) )
| ~ ~ ( ~ ! [SY761: $i] :
( ~ ( ssList @ SY761 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY759 ) @ ( cons @ SV108 @ SY761 ) )
| ( SV57 = SV108 ) )
| ~ ! [SY762: $i] :
( ~ ( ssList @ SY762 )
| ~ ( frontsegP @ ( cons @ SV57 @ SY759 ) @ ( cons @ SV108 @ SY762 ) )
| ( frontsegP @ SY759 @ SY762 ) ) ) ) ) )
= $true )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(813,plain,
! [SV109: $i] :
( ( ( ssList @ SV109 )
= $false )
| ( ( ~ ( ~ ( ssItem @ ( sK28_V @ SV109 ) )
| ~ ~ ( ~ ( ssItem @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) ) ) )
| ( strictorderP @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(814,plain,
! [SV110: $i] :
( ( ( ssList @ SV110 )
= $false )
| ( ( ~ ( strictorderP @ SV110 )
| ! [SY763: $i] :
( ~ ( ssItem @ SY763 )
| ! [SY764: $i] :
( ~ ( ssItem @ SY764 )
| ! [SY765: $i] :
( ~ ( ssList @ SY765 )
| ! [SY766: $i] :
( ~ ( ssList @ SY766 )
| ! [SY767: $i] :
( ~ ( ssList @ SY767 )
| ( ( app @ ( app @ SY765 @ ( cons @ SY763 @ SY766 ) ) @ ( cons @ SY764 @ SY767 ) )
!= SV110 )
| ( lt @ SY763 @ SY764 )
| ( lt @ SY764 @ SY763 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(815,plain,
! [SV58: $i] :
( ( ( ! [SY693: $i] :
( ~ ( ssItem @ SY693 )
| ! [SY694: $i] :
( ! [SY695: $i] :
( ( ( app @ SY694 @ ( cons @ SY693 @ SY695 ) )
!= SV58 )
| ~ ( ssList @ SY695 ) )
| ~ ( ssList @ SY694 ) )
| ( memberP @ SV58 @ SY693 ) ) )
= $true )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[724]) ).
thf(816,plain,
! [SV58: $i] :
( ( ( ! [SY696: $i] :
( ~ ( ssItem @ SY696 )
| ~ ( memberP @ SV58 @ SY696 )
| ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SY696 @ SV58 ) @ ( cons @ SY696 @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SY696 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SY696 @ SV58 ) ) ) ) )
= $true )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(817,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) )
| ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) )
| ~ ! [SY699: $i] :
( ~ ( ssList @ SY699 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY699 ) )
| ( leq @ SV59 @ ( hd @ SY699 ) )
| ( nil = SY699 ) ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(818,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ! [SY700: $i] :
( ~ ( ssList @ SY700 )
| ( nil = SY700 )
| ~ ( totalorderedP @ SY700 )
| ~ ( leq @ SV59 @ ( hd @ SY700 ) )
| ( totalorderedP @ ( cons @ SV59 @ SY700 ) ) )
| ~ ! [SY701: $i] :
( ~ ( ssList @ SY701 )
| ( nil != SY701 )
| ( totalorderedP @ ( cons @ SV59 @ SY701 ) ) ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(819,plain,
! [SV60: $i] :
( ( ( ! [SY702: $i] :
( ~ ( ssItem @ SY702 )
| ~ ( gt @ SV60 @ SY702 )
| ( lt @ SY702 @ SV60 ) ) )
= $true )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(820,plain,
! [SV60: $i] :
( ( ( ! [SY703: $i] :
( ~ ( ssItem @ SY703 )
| ~ ( lt @ SY703 @ SV60 )
| ( gt @ SV60 @ SY703 ) ) )
= $true )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(821,plain,
! [SV61: $i] :
( ( ( ! [SY704: $i] :
( ~ ( ssList @ SY704 )
| ! [SY705: $i] :
( ( ( app @ SY704 @ SY705 )
!= SV61 )
| ~ ( ssList @ SY705 ) )
| ( frontsegP @ SV61 @ SY704 ) ) )
= $true )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(822,plain,
! [SV61: $i] :
( ( ( ! [SY706: $i] :
( ~ ( ssList @ SY706 )
| ~ ( frontsegP @ SV61 @ SY706 )
| ~ ( ( ( app @ SY706 @ ( sK46_W @ SY706 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SY706 @ SV61 ) ) ) ) )
= $true )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(823,plain,
! [SV62: $i] :
( ( ( ! [SY707: $i] :
( ~ ( ssItem @ SY707 )
| ~ ( geq @ SV62 @ SY707 )
| ( leq @ SY707 @ SV62 ) ) )
= $true )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(824,plain,
! [SV62: $i] :
( ( ( ! [SY708: $i] :
( ~ ( ssItem @ SY708 )
| ~ ( leq @ SY708 @ SV62 )
| ( geq @ SV62 @ SY708 ) ) )
= $true )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(825,plain,
! [SV111: $i] :
( ( ( ssList @ SV111 )
= $false )
| ( ( ~ ( ~ ( ssItem @ ( sK9_V @ SV111 ) )
| ~ ~ ( ~ ( ssItem @ ( sK10_SY570 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) ) ) )
| ( equalelemsP @ SV111 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(826,plain,
! [SV112: $i] :
( ( ( ssList @ SV112 )
= $false )
| ( ( ~ ( equalelemsP @ SV112 )
| ! [SY768: $i] :
( ~ ( ssItem @ SY768 )
| ! [SY769: $i] :
( ~ ( ssItem @ SY769 )
| ! [SY770: $i] :
( ~ ( ssList @ SY770 )
| ! [SY771: $i] :
( ~ ( ssList @ SY771 )
| ( ( app @ SY770 @ ( cons @ SY768 @ ( cons @ SY769 @ SY771 ) ) )
!= SV112 )
| ( SY768 = SY769 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(827,plain,
! [SV113: $i] :
( ( ( ssList @ SV113 )
= $false )
| ( ( ~ ( ~ ( ssItem @ ( sK33_V @ SV113 ) )
| ~ ~ ( ~ ( ssItem @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) ) ) )
| ( totalorderP @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(828,plain,
! [SV114: $i] :
( ( ( ssList @ SV114 )
= $false )
| ( ( ~ ( totalorderP @ SV114 )
| ! [SY772: $i] :
( ~ ( ssItem @ SY772 )
| ! [SY773: $i] :
( ~ ( ssItem @ SY773 )
| ! [SY774: $i] :
( ~ ( ssList @ SY774 )
| ! [SY775: $i] :
( ~ ( ssList @ SY775 )
| ! [SY776: $i] :
( ~ ( ssList @ SY776 )
| ( ( app @ ( app @ SY774 @ ( cons @ SY772 @ SY775 ) ) @ ( cons @ SY773 @ SY776 ) )
!= SV114 )
| ( leq @ SY772 @ SY773 )
| ( leq @ SY773 @ SY772 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(829,plain,
( ( ( sK50_U != sK51_SY638 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(830,plain,
( ( ssItem @ sK51_SY638 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(831,plain,
! [SV63: $i] :
( ( ( ! [SY709: $i] :
( ~ ( ssList @ SY709 )
| ( SV63 = SY709 )
| ( neq @ SV63 @ SY709 ) ) )
= $true )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(832,plain,
! [SV63: $i] :
( ( ( ! [SY710: $i] :
( ~ ( ssList @ SY710 )
| ~ ( neq @ SV63 @ SY710 )
| ( SV63 != SY710 ) ) )
= $true )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(833,plain,
! [SV115: $i] :
( ( ( ssList @ SV115 )
= $false )
| ( ( ~ ( ~ ( ssItem @ ( sK13_V @ SV115 ) )
| ~ ~ ( ~ ( ssItem @ ( sK14_SY576 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) ) ) )
| ( duplicatefreeP @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(834,plain,
! [SV116: $i] :
( ( ( ssList @ SV116 )
= $false )
| ( ( ~ ( duplicatefreeP @ SV116 )
| ! [SY777: $i] :
( ~ ( ssItem @ SY777 )
| ! [SY778: $i] :
( ~ ( ssItem @ SY778 )
| ! [SY779: $i] :
( ~ ( ssList @ SY779 )
| ! [SY780: $i] :
( ~ ( ssList @ SY780 )
| ! [SY781: $i] :
( ~ ( ssList @ SY781 )
| ( ( app @ ( app @ SY779 @ ( cons @ SY777 @ SY780 ) ) @ ( cons @ SY778 @ SY781 ) )
!= SV116 )
| ( SY777 != SY778 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(835,plain,
! [SV117: $i] :
( ( ( ssList @ SV117 )
= $false )
| ( ( ~ ( ~ ( ssItem @ ( sK18_V @ SV117 ) )
| ~ ~ ( ~ ( ssItem @ ( sK19_SY586 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) ) ) )
| ( strictorderedP @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(836,plain,
! [SV118: $i] :
( ( ( ssList @ SV118 )
= $false )
| ( ( ~ ( strictorderedP @ SV118 )
| ! [SY782: $i] :
( ~ ( ssItem @ SY782 )
| ! [SY783: $i] :
( ~ ( ssItem @ SY783 )
| ! [SY784: $i] :
( ~ ( ssList @ SY784 )
| ! [SY785: $i] :
( ~ ( ssList @ SY785 )
| ! [SY786: $i] :
( ~ ( ssList @ SY786 )
| ( ( app @ ( app @ SY784 @ ( cons @ SY782 @ SY785 ) ) @ ( cons @ SY783 @ SY786 ) )
!= SV118 )
| ( lt @ SY782 @ SY783 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(837,plain,
! [SV64: $i,SV119: $i] :
( ( ( ssList @ SV119 )
= $false )
| ( ( ! [SY787: $i] :
( ~ ( ssItem @ SY787 )
| ~ ( ~ ! [SY788: $i] :
( ~ ( ssItem @ SY788 )
| ( ( cons @ SY787 @ SV64 )
!= ( cons @ SY788 @ SV119 ) )
| ( SY787 = SY788 ) )
| ~ ! [SY789: $i] :
( ~ ( ssItem @ SY789 )
| ( ( cons @ SY787 @ SV64 )
!= ( cons @ SY789 @ SV119 ) )
| ( SV119 = SV64 ) ) ) ) )
= $true )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(838,plain,
! [SV65: $i] :
( ( ( ! [SY715: $i] :
( ~ ( ssItem @ SY715 )
| ( SV65 = SY715 )
| ~ ( leq @ SV65 @ SY715 )
| ( lt @ SV65 @ SY715 ) ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[747]) ).
thf(839,plain,
! [SV65: $i] :
( ( ( ~ ( ~ ! [SY716: $i] :
( ~ ( ssItem @ SY716 )
| ~ ( lt @ SV65 @ SY716 )
| ( SV65 != SY716 ) )
| ~ ! [SY717: $i] :
( ~ ( ssItem @ SY717 )
| ~ ( lt @ SV65 @ SY717 )
| ( leq @ SV65 @ SY717 ) ) ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(840,plain,
! [SV66: $i] :
( ( ( ! [SY718: $i] :
( ~ ( ssList @ SY718 )
| ! [SY719: $i] :
( ( ( app @ SY719 @ SY718 )
!= SV66 )
| ~ ( ssList @ SY719 ) )
| ( rearsegP @ SV66 @ SY718 ) ) )
= $true )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(841,plain,
! [SV66: $i] :
( ( ( ! [SY720: $i] :
( ~ ( ssList @ SY720 )
| ~ ( rearsegP @ SV66 @ SY720 )
| ~ ( ( ( app @ ( sK45_W @ SY720 @ SV66 ) @ SY720 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SY720 @ SV66 ) ) ) ) )
= $true )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(842,plain,
! [SV67: $i] :
( ( ( ~ ~ ( ( ( cons @ ( sK8_SY569 @ SV67 ) @ ( sK7_V @ SV67 ) )
!= SV67 )
| ~ ( ssItem @ ( sK8_SY569 @ SV67 ) ) ) )
= $false )
| ( ( nil = SV67 )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(843,plain,
! [SV67: $i] :
( ( ( ~ ( ssList @ ( sK7_V @ SV67 ) ) )
= $false )
| ( ( nil = SV67 )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(844,plain,
! [SV68: $i] :
( ( ( ! [SY721: $i] :
( ~ ( ssList @ SY721 )
| ( nil != SY721 )
| ( nil != SV68 )
| ( nil
= ( app @ SV68 @ SY721 ) ) ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(845,plain,
! [SV68: $i] :
( ( ( ~ ( ~ ! [SY722: $i] :
( ~ ( ssList @ SY722 )
| ( nil
!= ( app @ SV68 @ SY722 ) )
| ( nil = SY722 ) )
| ~ ! [SY723: $i] :
( ~ ( ssList @ SY723 )
| ( nil
!= ( app @ SV68 @ SY723 ) )
| ( nil = SV68 ) ) ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(846,plain,
! [SV120: $i] :
( ( ( ssList @ SV120 )
= $false )
| ( ( ! [SY790: $i] :
( ( ( cons @ SY790 @ nil )
!= SV120 )
| ~ ( ssItem @ SY790 ) )
| ( singletonP @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(847,plain,
! [SV121: $i] :
( ( ( ssList @ SV121 )
= $false )
| ( ( ~ ( singletonP @ SV121 )
| ~ ( ( ( cons @ ( sK47_V @ SV121 ) @ nil )
!= SV121 )
| ~ ( ssItem @ ( sK47_V @ SV121 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(848,plain,
! [SV69: $i,SV122: $i] :
( ( ( ssItem @ SV122 )
= $false )
| ( ( ~ ( ~ ! [SY791: $i] :
( ~ ( ssList @ SY791 )
| ~ ( memberP @ ( cons @ SV122 @ SY791 ) @ SV69 )
| ( SV69 = SV122 )
| ( memberP @ SY791 @ SV69 ) )
| ~ ~ ( ~ ! [SY792: $i] :
( ~ ( ssList @ SY792 )
| ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SY792 ) @ SV69 ) )
| ~ ! [SY793: $i] :
( ~ ( ssList @ SY793 )
| ~ ( memberP @ SY793 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SY793 ) @ SV69 ) ) ) ) )
= $true )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(849,plain,
! [SV70: $i] :
( ( ( ! [SY728: $i] :
( ~ ( ssList @ SY728 )
| ! [SY729: $i] :
( ! [SY730: $i] :
( ( ( app @ ( app @ SY729 @ SY728 ) @ SY730 )
!= SV70 )
| ~ ( ssList @ SY730 ) )
| ~ ( ssList @ SY729 ) )
| ( segmentP @ SV70 @ SY728 ) ) )
= $true )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(850,plain,
! [SV70: $i] :
( ( ( ! [SY731: $i] :
( ~ ( ssList @ SY731 )
| ~ ( segmentP @ SV70 @ SY731 )
| ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SY731 @ SV70 ) @ SY731 ) @ ( sK44_SY636 @ SY731 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SY731 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SY731 @ SV70 ) ) ) ) )
= $true )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(851,plain,
! [SV71: $i] :
( ( ( ! [SY732: $i] :
( ~ ( ssItem @ SY732 )
| ( SV71 = SY732 )
| ( neq @ SV71 @ SY732 ) ) )
= $true )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(852,plain,
! [SV71: $i] :
( ( ( ! [SY733: $i] :
( ~ ( ssItem @ SY733 )
| ~ ( neq @ SV71 @ SY733 )
| ( SV71 != SY733 ) ) )
= $true )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(853,plain,
! [SV72: $i] :
( ( ( ~ ( ~ ~ ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) )
| ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) )
| ~ ! [SY736: $i] :
( ~ ( ssList @ SY736 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY736 ) )
| ( lt @ SV72 @ ( hd @ SY736 ) )
| ( nil = SY736 ) ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(854,plain,
! [SV72: $i] :
( ( ( ~ ( ~ ! [SY737: $i] :
( ~ ( ssList @ SY737 )
| ( nil = SY737 )
| ~ ( strictorderedP @ SY737 )
| ~ ( lt @ SV72 @ ( hd @ SY737 ) )
| ( strictorderedP @ ( cons @ SV72 @ SY737 ) ) )
| ~ ! [SY738: $i] :
( ~ ( ssList @ SY738 )
| ( nil != SY738 )
| ( strictorderedP @ ( cons @ SV72 @ SY738 ) ) ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(855,plain,
! [SV123: $i] :
( ( ( ssList @ SV123 )
= $false )
| ( ( ( nil != SV123 )
| ( rearsegP @ nil @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(856,plain,
! [SV124: $i] :
( ( ( ssList @ SV124 )
= $false )
| ( ( ~ ( rearsegP @ nil @ SV124 )
| ( nil = SV124 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(857,plain,
! [SV125: $i] :
( ( ( ssList @ SV125 )
= $false )
| ( ( ( nil != SV125 )
| ( frontsegP @ nil @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(858,plain,
! [SV126: $i] :
( ( ( ssList @ SV126 )
= $false )
| ( ( ~ ( frontsegP @ nil @ SV126 )
| ( nil = SV126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(859,plain,
! [SV127: $i] :
( ( ( ssList @ SV127 )
= $false )
| ( ( ~ ( ~ ( ssItem @ ( sK38_V @ SV127 ) )
| ~ ~ ( ~ ( ssItem @ ( sK39_SY626 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) ) ) )
| ( cyclefreeP @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(860,plain,
! [SV128: $i] :
( ( ( ssList @ SV128 )
= $false )
| ( ( ~ ( cyclefreeP @ SV128 )
| ! [SY794: $i] :
( ~ ( ssItem @ SY794 )
| ! [SY795: $i] :
( ~ ( ssItem @ SY795 )
| ! [SY796: $i] :
( ~ ( ssList @ SY796 )
| ! [SY797: $i] :
( ~ ( ssList @ SY797 )
| ! [SY798: $i] :
( ~ ( ssList @ SY798 )
| ( ( app @ ( app @ SY796 @ ( cons @ SY794 @ SY797 ) ) @ ( cons @ SY795 @ SY798 ) )
!= SV128 )
| ~ ( leq @ SY794 @ SY795 )
| ~ ( leq @ SY795 @ SY794 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(861,plain,
( ( ssList @ sK3_SY554 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(862,plain,
( ( ~ ( ~ ( ssList @ sK4_SY560 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(863,plain,
! [SV73: $i,SV129: $i] :
( ( ( ssList @ SV129 )
= $false )
| ( ( ~ ( ~ ! [SY799: $i] :
( ~ ( ssList @ SY799 )
| ~ ( memberP @ ( app @ SV129 @ SY799 ) @ SV73 )
| ( memberP @ SV129 @ SV73 )
| ( memberP @ SY799 @ SV73 ) )
| ~ ~ ( ~ ! [SY800: $i] :
( ~ ( ssList @ SY800 )
| ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY800 ) @ SV73 ) )
| ~ ! [SY801: $i] :
( ~ ( ssList @ SY801 )
| ~ ( memberP @ SY801 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY801 ) @ SV73 ) ) ) ) )
= $true )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(864,plain,
! [SV74: $i] :
( ( ( ( ( tl @ SV74 )
!= ( sK5_V @ SV74 ) ) )
= $false )
| ( ( nil = SV74 )
= $true )
| ( ( ssList @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(865,plain,
! [SV74: $i] :
( ( ( ~ ( ssList @ ( sK5_V @ SV74 ) ) )
= $false )
| ( ( nil = SV74 )
= $true )
| ( ( ssList @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(866,plain,
! [SV130: $i] :
( ( ( ssList @ SV130 )
= $false )
| ( ( ~ ( ~ ( ssItem @ ( sK23_V @ SV130 ) )
| ~ ~ ( ~ ( ssItem @ ( sK24_SY596 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) ) ) )
| ( totalorderedP @ SV130 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(867,plain,
! [SV131: $i] :
( ( ( ssList @ SV131 )
= $false )
| ( ( ~ ( totalorderedP @ SV131 )
| ! [SY802: $i] :
( ~ ( ssItem @ SY802 )
| ! [SY803: $i] :
( ~ ( ssItem @ SY803 )
| ! [SY804: $i] :
( ~ ( ssList @ SY804 )
| ! [SY805: $i] :
( ~ ( ssList @ SY805 )
| ! [SY806: $i] :
( ~ ( ssList @ SY806 )
| ( ( app @ ( app @ SY804 @ ( cons @ SY802 @ SY805 ) ) @ ( cons @ SY803 @ SY806 ) )
!= SV131 )
| ( leq @ SY802 @ SY803 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(868,plain,
! [SV132: $i] :
( ( ( ssList @ SV132 )
= $false )
| ( ( ( nil != SV132 )
| ( segmentP @ nil @ SV132 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(869,plain,
! [SV133: $i] :
( ( ( ssList @ SV133 )
= $false )
| ( ( ~ ( segmentP @ nil @ SV133 )
| ( nil = SV133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(870,plain,
! [SV2: $i,SV76: $i] :
( ( ( ( cons @ SV76 @ SV2 )
= SV2 )
= $false )
| ( ( ssItem @ SV76 )
= $false )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(871,plain,
! [SV3: $i,SV77: $i] :
( ( ( nil
= ( cons @ SV77 @ SV3 ) )
= $false )
| ( ( ssItem @ SV77 )
= $false )
| ( ( ssList @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(872,plain,
! [SV9: $i,SV81: $i,SV134: $i] :
( ( ( ~ ( ssItem @ SV134 )
| ( ( cons @ SV134 @ ( app @ SV81 @ SV9 ) )
= ( app @ ( cons @ SV134 @ SV81 ) @ SV9 ) ) )
= $true )
| ( ( ssList @ SV81 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(873,plain,
! [SV82: $i,SV11: $i] :
( ( ( ~ ( leq @ SV11 @ SV82 )
| ~ ( leq @ SV82 @ SV11 ) )
= $true )
| ( ( SV11 = SV82 )
= $true )
| ( ( ssItem @ SV82 )
= $false )
| ( ( ssItem @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[784]) ).
thf(874,plain,
! [SV83: $i,SV12: $i,SV135: $i] :
( ( ( ~ ( ssItem @ SV135 )
| ~ ( leq @ SV12 @ SV83 )
| ~ ( leq @ SV83 @ SV135 )
| ( leq @ SV12 @ SV135 ) )
= $true )
| ( ( ssItem @ SV83 )
= $false )
| ( ( ssItem @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(875,plain,
! [SV84: $i,SV14: $i] :
( ( ( ~ ( lt @ SV14 @ SV84 ) )
= $true )
| ( ( ~ ( lt @ SV84 @ SV14 ) )
= $true )
| ( ( ssItem @ SV84 )
= $false )
| ( ( ssItem @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(876,plain,
! [SV85: $i,SV15: $i,SV136: $i] :
( ( ( ~ ( ssItem @ SV136 )
| ~ ( lt @ SV15 @ SV85 )
| ~ ( lt @ SV85 @ SV136 )
| ( lt @ SV15 @ SV136 ) )
= $true )
| ( ( ssItem @ SV85 )
= $false )
| ( ( ssItem @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(877,plain,
! [SV86: $i,SV17: $i,SV137: $i] :
( ( ( ~ ( ssList @ SV137 )
| ~ ( frontsegP @ SV17 @ SV86 )
| ~ ( frontsegP @ SV86 @ SV137 )
| ( frontsegP @ SV17 @ SV137 ) )
= $true )
| ( ( ssList @ SV86 )
= $false )
| ( ( ssList @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(878,plain,
! [SV87: $i,SV18: $i] :
( ( ( ~ ( frontsegP @ SV18 @ SV87 )
| ~ ( frontsegP @ SV87 @ SV18 ) )
= $true )
| ( ( SV18 = SV87 )
= $true )
| ( ( ssList @ SV87 )
= $false )
| ( ( ssList @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(879,plain,
! [SV88: $i,SV20: $i,SV138: $i] :
( ( ( ~ ( ssList @ SV138 )
| ~ ( frontsegP @ SV20 @ SV88 )
| ( frontsegP @ ( app @ SV20 @ SV138 ) @ SV88 ) )
= $true )
| ( ( ssList @ SV88 )
= $false )
| ( ( ssList @ SV20 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(880,plain,
! [SV89: $i,SV22: $i,SV139: $i] :
( ( ( ~ ( ssList @ SV139 )
| ~ ( rearsegP @ SV22 @ SV89 )
| ~ ( rearsegP @ SV89 @ SV139 )
| ( rearsegP @ SV22 @ SV139 ) )
= $true )
| ( ( ssList @ SV89 )
= $false )
| ( ( ssList @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(881,plain,
! [SV90: $i,SV23: $i] :
( ( ( ~ ( rearsegP @ SV23 @ SV90 )
| ~ ( rearsegP @ SV90 @ SV23 ) )
= $true )
| ( ( SV23 = SV90 )
= $true )
| ( ( ssList @ SV90 )
= $false )
| ( ( ssList @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(882,plain,
! [SV91: $i,SV25: $i,SV140: $i] :
( ( ( ~ ( ssList @ SV140 )
| ~ ( rearsegP @ SV25 @ SV91 )
| ( rearsegP @ ( app @ SV140 @ SV25 ) @ SV91 ) )
= $true )
| ( ( ssList @ SV91 )
= $false )
| ( ( ssList @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(883,plain,
! [SV92: $i,SV27: $i,SV141: $i] :
( ( ( ~ ( ssList @ SV141 )
| ~ ( segmentP @ SV27 @ SV92 )
| ~ ( segmentP @ SV92 @ SV141 )
| ( segmentP @ SV27 @ SV141 ) )
= $true )
| ( ( ssList @ SV92 )
= $false )
| ( ( ssList @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(884,plain,
! [SV93: $i,SV28: $i] :
( ( ( ~ ( segmentP @ SV28 @ SV93 )
| ~ ( segmentP @ SV93 @ SV28 ) )
= $true )
| ( ( SV28 = SV93 )
= $true )
| ( ( ssList @ SV93 )
= $false )
| ( ( ssList @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(885,plain,
! [SV94: $i,SV30: $i,SV142: $i] :
( ( ( ~ ( ssList @ SV142 )
| ! [SY807: $i] :
( ~ ( ssList @ SY807 )
| ~ ( segmentP @ SV30 @ SV94 )
| ( segmentP @ ( app @ ( app @ SV142 @ SV30 ) @ SY807 ) @ SV94 ) ) )
= $true )
| ( ( ssList @ SV94 )
= $false )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(886,plain,
! [SV39: $i,SV95: $i] :
( ( ( ( nil = SV95 )
| ( nil = SV39 )
| ( ( hd @ SV95 )
!= ( hd @ SV39 ) )
| ( ( tl @ SV95 )
!= ( tl @ SV39 ) ) )
= $true )
| ( ( SV95 = SV39 )
= $true )
| ( ( ssList @ SV95 )
= $false )
| ( ( ssList @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(887,plain,
! [SV41: $i,SV96: $i,SV143: $i] :
( ( ( ~ ( ssList @ SV143 )
| ( ( app @ SV143 @ SV96 )
!= ( app @ SV41 @ SV96 ) )
| ( SV143 = SV41 ) )
= $true )
| ( ( ssList @ SV96 )
= $false )
| ( ( ssList @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(888,plain,
! [SV42: $i,SV97: $i,SV144: $i] :
( ( ( ~ ( ssList @ SV144 )
| ( ( app @ SV97 @ SV144 )
!= ( app @ SV97 @ SV42 ) )
| ( SV144 = SV42 ) )
= $true )
| ( ( ssList @ SV97 )
= $false )
| ( ( ssList @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(889,plain,
! [SV99: $i,SV44: $i,SV145: $i] :
( ( ( ~ ( ssList @ SV145 )
| ( ( app @ ( app @ SV44 @ SV99 ) @ SV145 )
= ( app @ SV44 @ ( app @ SV99 @ SV145 ) ) ) )
= $true )
| ( ( ssList @ SV99 )
= $false )
| ( ( ssList @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(890,plain,
! [SV100: $i,SV46: $i] :
( ( ( nil = SV46 )
= $true )
| ( ( ( hd @ ( app @ SV46 @ SV100 ) )
= ( hd @ SV46 ) )
= $true )
| ( ( ssList @ SV100 )
= $false )
| ( ( ssList @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(891,plain,
! [SV101: $i,SV47: $i] :
( ( ( nil = SV47 )
= $true )
| ( ( ( tl @ ( app @ SV47 @ SV101 ) )
= ( app @ ( tl @ SV47 ) @ SV101 ) )
= $true )
| ( ( ssList @ SV101 )
= $false )
| ( ( ssList @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(892,plain,
! [SV102: $i,SV48: $i] :
( ( ( ~ ( geq @ SV48 @ SV102 )
| ~ ( geq @ SV102 @ SV48 ) )
= $true )
| ( ( SV48 = SV102 )
= $true )
| ( ( ssItem @ SV102 )
= $false )
| ( ( ssItem @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(893,plain,
! [SV103: $i,SV49: $i,SV146: $i] :
( ( ( ~ ( ssItem @ SV146 )
| ~ ( geq @ SV49 @ SV103 )
| ~ ( geq @ SV103 @ SV146 )
| ( geq @ SV49 @ SV146 ) )
= $true )
| ( ( ssItem @ SV103 )
= $false )
| ( ( ssItem @ SV49 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(894,plain,
! [SV104: $i,SV52: $i,SV147: $i] :
( ( ( ~ ( ssItem @ SV147 )
| ~ ( leq @ SV52 @ SV104 )
| ~ ( lt @ SV104 @ SV147 )
| ( lt @ SV52 @ SV147 ) )
= $true )
| ( ( ssItem @ SV104 )
= $false )
| ( ( ssItem @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(895,plain,
! [SV105: $i,SV53: $i] :
( ( ( ~ ( leq @ SV53 @ SV105 ) )
= $true )
| ( ( ( SV53 = SV105 )
| ( lt @ SV53 @ SV105 ) )
= $true )
| ( ( ssItem @ SV105 )
= $false )
| ( ( ssItem @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(896,plain,
! [SV106: $i,SV54: $i] :
( ( ( ~ ( gt @ SV54 @ SV106 ) )
= $true )
| ( ( ~ ( gt @ SV106 @ SV54 ) )
= $true )
| ( ( ssItem @ SV106 )
= $false )
| ( ( ssItem @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[808]) ).
thf(897,plain,
! [SV107: $i,SV55: $i,SV148: $i] :
( ( ( ~ ( ssItem @ SV148 )
| ~ ( gt @ SV55 @ SV107 )
| ~ ( gt @ SV107 @ SV148 )
| ( gt @ SV55 @ SV148 ) )
= $true )
| ( ( ssItem @ SV107 )
= $false )
| ( ( ssItem @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(898,plain,
! [SV56: $i] :
( ( ( ( hd @ SV56 )
= ( sK6_V @ SV56 ) )
= $true )
| ( ( nil = SV56 )
= $true )
| ( ( ssList @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(899,plain,
! [SV56: $i] :
( ( ( ssItem @ ( sK6_V @ SV56 ) )
= $true )
| ( ( nil = SV56 )
= $true )
| ( ( ssList @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(900,plain,
! [SV108: $i,SV57: $i,SV149: $i] :
( ( ( ~ ( ssList @ SV149 )
| ~ ( ~ ! [SY808: $i] :
( ~ ( ssList @ SY808 )
| ( SV57 != SV108 )
| ~ ( frontsegP @ SV149 @ SY808 )
| ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY808 ) ) )
| ~ ~ ( ~ ! [SY809: $i] :
( ~ ( ssList @ SY809 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY809 ) )
| ( SV57 = SV108 ) )
| ~ ! [SY810: $i] :
( ~ ( ssList @ SY810 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY810 ) )
| ( frontsegP @ SV149 @ SY810 ) ) ) ) )
= $true )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(901,plain,
! [SV109: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK28_V @ SV109 ) )
| ~ ~ ( ~ ( ssItem @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(902,plain,
! [SV110: $i] :
( ( ( ~ ( strictorderP @ SV110 ) )
= $true )
| ( ( ! [SY763: $i] :
( ~ ( ssItem @ SY763 )
| ! [SY764: $i] :
( ~ ( ssItem @ SY764 )
| ! [SY765: $i] :
( ~ ( ssList @ SY765 )
| ! [SY766: $i] :
( ~ ( ssList @ SY766 )
| ! [SY767: $i] :
( ~ ( ssList @ SY767 )
| ( ( app @ ( app @ SY765 @ ( cons @ SY763 @ SY766 ) ) @ ( cons @ SY764 @ SY767 ) )
!= SV110 )
| ( lt @ SY763 @ SY764 )
| ( lt @ SY764 @ SY763 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(903,plain,
! [SV58: $i,SV150: $i] :
( ( ( ~ ( ssItem @ SV150 )
| ! [SY811: $i] :
( ! [SY812: $i] :
( ( ( app @ SY811 @ ( cons @ SV150 @ SY812 ) )
!= SV58 )
| ~ ( ssList @ SY812 ) )
| ~ ( ssList @ SY811 ) )
| ( memberP @ SV58 @ SV150 ) )
= $true )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(904,plain,
! [SV58: $i,SV151: $i] :
( ( ( ~ ( ssItem @ SV151 )
| ~ ( memberP @ SV58 @ SV151 )
| ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SV151 @ SV58 ) ) ) )
= $true )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(905,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) )
| ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) )
| ~ ! [SY699: $i] :
( ~ ( ssList @ SY699 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY699 ) )
| ( leq @ SV59 @ ( hd @ SY699 ) )
| ( nil = SY699 ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(906,plain,
! [SV59: $i] :
( ( ( ~ ! [SY700: $i] :
( ~ ( ssList @ SY700 )
| ( nil = SY700 )
| ~ ( totalorderedP @ SY700 )
| ~ ( leq @ SV59 @ ( hd @ SY700 ) )
| ( totalorderedP @ ( cons @ SV59 @ SY700 ) ) )
| ~ ! [SY701: $i] :
( ~ ( ssList @ SY701 )
| ( nil != SY701 )
| ( totalorderedP @ ( cons @ SV59 @ SY701 ) ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(907,plain,
! [SV60: $i,SV152: $i] :
( ( ( ~ ( ssItem @ SV152 )
| ~ ( gt @ SV60 @ SV152 )
| ( lt @ SV152 @ SV60 ) )
= $true )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(908,plain,
! [SV60: $i,SV153: $i] :
( ( ( ~ ( ssItem @ SV153 )
| ~ ( lt @ SV153 @ SV60 )
| ( gt @ SV60 @ SV153 ) )
= $true )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(909,plain,
! [SV61: $i,SV154: $i] :
( ( ( ~ ( ssList @ SV154 )
| ! [SY813: $i] :
( ( ( app @ SV154 @ SY813 )
!= SV61 )
| ~ ( ssList @ SY813 ) )
| ( frontsegP @ SV61 @ SV154 ) )
= $true )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(910,plain,
! [SV61: $i,SV155: $i] :
( ( ( ~ ( ssList @ SV155 )
| ~ ( frontsegP @ SV61 @ SV155 )
| ~ ( ( ( app @ SV155 @ ( sK46_W @ SV155 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SV155 @ SV61 ) ) ) )
= $true )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(911,plain,
! [SV62: $i,SV156: $i] :
( ( ( ~ ( ssItem @ SV156 )
| ~ ( geq @ SV62 @ SV156 )
| ( leq @ SV156 @ SV62 ) )
= $true )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(912,plain,
! [SV62: $i,SV157: $i] :
( ( ( ~ ( ssItem @ SV157 )
| ~ ( leq @ SV157 @ SV62 )
| ( geq @ SV62 @ SV157 ) )
= $true )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(913,plain,
! [SV111: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK9_V @ SV111 ) )
| ~ ~ ( ~ ( ssItem @ ( sK10_SY570 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) ) ) ) )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(914,plain,
! [SV112: $i] :
( ( ( ~ ( equalelemsP @ SV112 ) )
= $true )
| ( ( ! [SY768: $i] :
( ~ ( ssItem @ SY768 )
| ! [SY769: $i] :
( ~ ( ssItem @ SY769 )
| ! [SY770: $i] :
( ~ ( ssList @ SY770 )
| ! [SY771: $i] :
( ~ ( ssList @ SY771 )
| ( ( app @ SY770 @ ( cons @ SY768 @ ( cons @ SY769 @ SY771 ) ) )
!= SV112 )
| ( SY768 = SY769 ) ) ) ) ) )
= $true )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(915,plain,
! [SV113: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK33_V @ SV113 ) )
| ~ ~ ( ~ ( ssItem @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(916,plain,
! [SV114: $i] :
( ( ( ~ ( totalorderP @ SV114 ) )
= $true )
| ( ( ! [SY772: $i] :
( ~ ( ssItem @ SY772 )
| ! [SY773: $i] :
( ~ ( ssItem @ SY773 )
| ! [SY774: $i] :
( ~ ( ssList @ SY774 )
| ! [SY775: $i] :
( ~ ( ssList @ SY775 )
| ! [SY776: $i] :
( ~ ( ssList @ SY776 )
| ( ( app @ ( app @ SY774 @ ( cons @ SY772 @ SY775 ) ) @ ( cons @ SY773 @ SY776 ) )
!= SV114 )
| ( leq @ SY772 @ SY773 )
| ( leq @ SY773 @ SY772 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(917,plain,
( ( sK50_U = sK51_SY638 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(918,plain,
! [SV63: $i,SV158: $i] :
( ( ( ~ ( ssList @ SV158 )
| ( SV63 = SV158 )
| ( neq @ SV63 @ SV158 ) )
= $true )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(919,plain,
! [SV63: $i,SV159: $i] :
( ( ( ~ ( ssList @ SV159 )
| ~ ( neq @ SV63 @ SV159 )
| ( SV63 != SV159 ) )
= $true )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(920,plain,
! [SV115: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK13_V @ SV115 ) )
| ~ ~ ( ~ ( ssItem @ ( sK14_SY576 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) ) ) ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(921,plain,
! [SV116: $i] :
( ( ( ~ ( duplicatefreeP @ SV116 ) )
= $true )
| ( ( ! [SY777: $i] :
( ~ ( ssItem @ SY777 )
| ! [SY778: $i] :
( ~ ( ssItem @ SY778 )
| ! [SY779: $i] :
( ~ ( ssList @ SY779 )
| ! [SY780: $i] :
( ~ ( ssList @ SY780 )
| ! [SY781: $i] :
( ~ ( ssList @ SY781 )
| ( ( app @ ( app @ SY779 @ ( cons @ SY777 @ SY780 ) ) @ ( cons @ SY778 @ SY781 ) )
!= SV116 )
| ( SY777 != SY778 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(922,plain,
! [SV117: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK18_V @ SV117 ) )
| ~ ~ ( ~ ( ssItem @ ( sK19_SY586 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) ) ) ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[835]) ).
thf(923,plain,
! [SV118: $i] :
( ( ( ~ ( strictorderedP @ SV118 ) )
= $true )
| ( ( ! [SY782: $i] :
( ~ ( ssItem @ SY782 )
| ! [SY783: $i] :
( ~ ( ssItem @ SY783 )
| ! [SY784: $i] :
( ~ ( ssList @ SY784 )
| ! [SY785: $i] :
( ~ ( ssList @ SY785 )
| ! [SY786: $i] :
( ~ ( ssList @ SY786 )
| ( ( app @ ( app @ SY784 @ ( cons @ SY782 @ SY785 ) ) @ ( cons @ SY783 @ SY786 ) )
!= SV118 )
| ( lt @ SY782 @ SY783 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[836]) ).
thf(924,plain,
! [SV119: $i,SV64: $i,SV160: $i] :
( ( ( ~ ( ssItem @ SV160 )
| ~ ( ~ ! [SY814: $i] :
( ~ ( ssItem @ SY814 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY814 @ SV119 ) )
| ( SV160 = SY814 ) )
| ~ ! [SY815: $i] :
( ~ ( ssItem @ SY815 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY815 @ SV119 ) )
| ( SV119 = SV64 ) ) ) )
= $true )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(925,plain,
! [SV65: $i,SV161: $i] :
( ( ( ~ ( ssItem @ SV161 )
| ( SV65 = SV161 )
| ~ ( leq @ SV65 @ SV161 )
| ( lt @ SV65 @ SV161 ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(926,plain,
! [SV65: $i] :
( ( ( ~ ! [SY716: $i] :
( ~ ( ssItem @ SY716 )
| ~ ( lt @ SV65 @ SY716 )
| ( SV65 != SY716 ) )
| ~ ! [SY717: $i] :
( ~ ( ssItem @ SY717 )
| ~ ( lt @ SV65 @ SY717 )
| ( leq @ SV65 @ SY717 ) ) )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(927,plain,
! [SV66: $i,SV162: $i] :
( ( ( ~ ( ssList @ SV162 )
| ! [SY816: $i] :
( ( ( app @ SY816 @ SV162 )
!= SV66 )
| ~ ( ssList @ SY816 ) )
| ( rearsegP @ SV66 @ SV162 ) )
= $true )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(928,plain,
! [SV66: $i,SV163: $i] :
( ( ( ~ ( ssList @ SV163 )
| ~ ( rearsegP @ SV66 @ SV163 )
| ~ ( ( ( app @ ( sK45_W @ SV163 @ SV66 ) @ SV163 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SV163 @ SV66 ) ) ) )
= $true )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(929,plain,
! [SV67: $i] :
( ( ( ~ ( ( ( cons @ ( sK8_SY569 @ SV67 ) @ ( sK7_V @ SV67 ) )
!= SV67 )
| ~ ( ssItem @ ( sK8_SY569 @ SV67 ) ) ) )
= $true )
| ( ( nil = SV67 )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(930,plain,
! [SV67: $i] :
( ( ( ssList @ ( sK7_V @ SV67 ) )
= $true )
| ( ( nil = SV67 )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(931,plain,
! [SV68: $i,SV164: $i] :
( ( ( ~ ( ssList @ SV164 )
| ( nil != SV164 )
| ( nil != SV68 )
| ( nil
= ( app @ SV68 @ SV164 ) ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(932,plain,
! [SV68: $i] :
( ( ( ~ ! [SY722: $i] :
( ~ ( ssList @ SY722 )
| ( nil
!= ( app @ SV68 @ SY722 ) )
| ( nil = SY722 ) )
| ~ ! [SY723: $i] :
( ~ ( ssList @ SY723 )
| ( nil
!= ( app @ SV68 @ SY723 ) )
| ( nil = SV68 ) ) )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(933,plain,
! [SV120: $i] :
( ( ( ! [SY790: $i] :
( ( ( cons @ SY790 @ nil )
!= SV120 )
| ~ ( ssItem @ SY790 ) ) )
= $true )
| ( ( singletonP @ SV120 )
= $true )
| ( ( ssList @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(934,plain,
! [SV121: $i] :
( ( ( ~ ( singletonP @ SV121 ) )
= $true )
| ( ( ~ ( ( ( cons @ ( sK47_V @ SV121 ) @ nil )
!= SV121 )
| ~ ( ssItem @ ( sK47_V @ SV121 ) ) ) )
= $true )
| ( ( ssList @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(935,plain,
! [SV69: $i,SV122: $i] :
( ( ( ~ ! [SY791: $i] :
( ~ ( ssList @ SY791 )
| ~ ( memberP @ ( cons @ SV122 @ SY791 ) @ SV69 )
| ( SV69 = SV122 )
| ( memberP @ SY791 @ SV69 ) )
| ~ ~ ( ~ ! [SY792: $i] :
( ~ ( ssList @ SY792 )
| ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SY792 ) @ SV69 ) )
| ~ ! [SY793: $i] :
( ~ ( ssList @ SY793 )
| ~ ( memberP @ SY793 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SY793 ) @ SV69 ) ) ) )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(936,plain,
! [SV70: $i,SV165: $i] :
( ( ( ~ ( ssList @ SV165 )
| ! [SY817: $i] :
( ! [SY818: $i] :
( ( ( app @ ( app @ SY817 @ SV165 ) @ SY818 )
!= SV70 )
| ~ ( ssList @ SY818 ) )
| ~ ( ssList @ SY817 ) )
| ( segmentP @ SV70 @ SV165 ) )
= $true )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(937,plain,
! [SV70: $i,SV166: $i] :
( ( ( ~ ( ssList @ SV166 )
| ~ ( segmentP @ SV70 @ SV166 )
| ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SV166 @ SV70 ) ) ) )
= $true )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(938,plain,
! [SV71: $i,SV167: $i] :
( ( ( ~ ( ssItem @ SV167 )
| ( SV71 = SV167 )
| ( neq @ SV71 @ SV167 ) )
= $true )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(939,plain,
! [SV71: $i,SV168: $i] :
( ( ( ~ ( ssItem @ SV168 )
| ~ ( neq @ SV71 @ SV168 )
| ( SV71 != SV168 ) )
= $true )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(940,plain,
! [SV72: $i] :
( ( ( ~ ~ ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) )
| ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) )
| ~ ! [SY736: $i] :
( ~ ( ssList @ SY736 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY736 ) )
| ( lt @ SV72 @ ( hd @ SY736 ) )
| ( nil = SY736 ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(941,plain,
! [SV72: $i] :
( ( ( ~ ! [SY737: $i] :
( ~ ( ssList @ SY737 )
| ( nil = SY737 )
| ~ ( strictorderedP @ SY737 )
| ~ ( lt @ SV72 @ ( hd @ SY737 ) )
| ( strictorderedP @ ( cons @ SV72 @ SY737 ) ) )
| ~ ! [SY738: $i] :
( ~ ( ssList @ SY738 )
| ( nil != SY738 )
| ( strictorderedP @ ( cons @ SV72 @ SY738 ) ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(942,plain,
! [SV123: $i] :
( ( ( ( nil != SV123 ) )
= $true )
| ( ( rearsegP @ nil @ SV123 )
= $true )
| ( ( ssList @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(943,plain,
! [SV124: $i] :
( ( ( ~ ( rearsegP @ nil @ SV124 ) )
= $true )
| ( ( nil = SV124 )
= $true )
| ( ( ssList @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(944,plain,
! [SV125: $i] :
( ( ( ( nil != SV125 ) )
= $true )
| ( ( frontsegP @ nil @ SV125 )
= $true )
| ( ( ssList @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(945,plain,
! [SV126: $i] :
( ( ( ~ ( frontsegP @ nil @ SV126 ) )
= $true )
| ( ( nil = SV126 )
= $true )
| ( ( ssList @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(946,plain,
! [SV127: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK38_V @ SV127 ) )
| ~ ~ ( ~ ( ssItem @ ( sK39_SY626 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) ) ) ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(947,plain,
! [SV128: $i] :
( ( ( ~ ( cyclefreeP @ SV128 ) )
= $true )
| ( ( ! [SY794: $i] :
( ~ ( ssItem @ SY794 )
| ! [SY795: $i] :
( ~ ( ssItem @ SY795 )
| ! [SY796: $i] :
( ~ ( ssList @ SY796 )
| ! [SY797: $i] :
( ~ ( ssList @ SY797 )
| ! [SY798: $i] :
( ~ ( ssList @ SY798 )
| ( ( app @ ( app @ SY796 @ ( cons @ SY794 @ SY797 ) ) @ ( cons @ SY795 @ SY798 ) )
!= SV128 )
| ~ ( leq @ SY794 @ SY795 )
| ~ ( leq @ SY795 @ SY794 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(948,plain,
( ( ~ ( ssList @ sK4_SY560 )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(949,plain,
! [SV73: $i,SV129: $i] :
( ( ( ~ ! [SY799: $i] :
( ~ ( ssList @ SY799 )
| ~ ( memberP @ ( app @ SV129 @ SY799 ) @ SV73 )
| ( memberP @ SV129 @ SV73 )
| ( memberP @ SY799 @ SV73 ) )
| ~ ~ ( ~ ! [SY800: $i] :
( ~ ( ssList @ SY800 )
| ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY800 ) @ SV73 ) )
| ~ ! [SY801: $i] :
( ~ ( ssList @ SY801 )
| ~ ( memberP @ SY801 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY801 ) @ SV73 ) ) ) )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(950,plain,
! [SV74: $i] :
( ( ( ( tl @ SV74 )
= ( sK5_V @ SV74 ) )
= $true )
| ( ( nil = SV74 )
= $true )
| ( ( ssList @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(951,plain,
! [SV74: $i] :
( ( ( ssList @ ( sK5_V @ SV74 ) )
= $true )
| ( ( nil = SV74 )
= $true )
| ( ( ssList @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(952,plain,
! [SV130: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK23_V @ SV130 ) )
| ~ ~ ( ~ ( ssItem @ ( sK24_SY596 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) ) ) ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(953,plain,
! [SV131: $i] :
( ( ( ~ ( totalorderedP @ SV131 ) )
= $true )
| ( ( ! [SY802: $i] :
( ~ ( ssItem @ SY802 )
| ! [SY803: $i] :
( ~ ( ssItem @ SY803 )
| ! [SY804: $i] :
( ~ ( ssList @ SY804 )
| ! [SY805: $i] :
( ~ ( ssList @ SY805 )
| ! [SY806: $i] :
( ~ ( ssList @ SY806 )
| ( ( app @ ( app @ SY804 @ ( cons @ SY802 @ SY805 ) ) @ ( cons @ SY803 @ SY806 ) )
!= SV131 )
| ( leq @ SY802 @ SY803 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(954,plain,
! [SV132: $i] :
( ( ( ( nil != SV132 ) )
= $true )
| ( ( segmentP @ nil @ SV132 )
= $true )
| ( ( ssList @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(955,plain,
! [SV133: $i] :
( ( ( ~ ( segmentP @ nil @ SV133 ) )
= $true )
| ( ( nil = SV133 )
= $true )
| ( ( ssList @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(956,plain,
! [SV9: $i,SV81: $i,SV134: $i] :
( ( ( ~ ( ssItem @ SV134 ) )
= $true )
| ( ( ( cons @ SV134 @ ( app @ SV81 @ SV9 ) )
= ( app @ ( cons @ SV134 @ SV81 ) @ SV9 ) )
= $true )
| ( ( ssList @ SV81 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(957,plain,
! [SV82: $i,SV11: $i] :
( ( ( ~ ( leq @ SV11 @ SV82 ) )
= $true )
| ( ( ~ ( leq @ SV82 @ SV11 ) )
= $true )
| ( ( SV11 = SV82 )
= $true )
| ( ( ssItem @ SV82 )
= $false )
| ( ( ssItem @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(958,plain,
! [SV83: $i,SV12: $i,SV135: $i] :
( ( ( ~ ( ssItem @ SV135 ) )
= $true )
| ( ( ~ ( leq @ SV12 @ SV83 )
| ~ ( leq @ SV83 @ SV135 )
| ( leq @ SV12 @ SV135 ) )
= $true )
| ( ( ssItem @ SV83 )
= $false )
| ( ( ssItem @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(959,plain,
! [SV84: $i,SV14: $i] :
( ( ( lt @ SV14 @ SV84 )
= $false )
| ( ( ~ ( lt @ SV84 @ SV14 ) )
= $true )
| ( ( ssItem @ SV84 )
= $false )
| ( ( ssItem @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(960,plain,
! [SV85: $i,SV15: $i,SV136: $i] :
( ( ( ~ ( ssItem @ SV136 ) )
= $true )
| ( ( ~ ( lt @ SV15 @ SV85 )
| ~ ( lt @ SV85 @ SV136 )
| ( lt @ SV15 @ SV136 ) )
= $true )
| ( ( ssItem @ SV85 )
= $false )
| ( ( ssItem @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(961,plain,
! [SV86: $i,SV17: $i,SV137: $i] :
( ( ( ~ ( ssList @ SV137 ) )
= $true )
| ( ( ~ ( frontsegP @ SV17 @ SV86 )
| ~ ( frontsegP @ SV86 @ SV137 )
| ( frontsegP @ SV17 @ SV137 ) )
= $true )
| ( ( ssList @ SV86 )
= $false )
| ( ( ssList @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(962,plain,
! [SV87: $i,SV18: $i] :
( ( ( ~ ( frontsegP @ SV18 @ SV87 ) )
= $true )
| ( ( ~ ( frontsegP @ SV87 @ SV18 ) )
= $true )
| ( ( SV18 = SV87 )
= $true )
| ( ( ssList @ SV87 )
= $false )
| ( ( ssList @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(963,plain,
! [SV88: $i,SV20: $i,SV138: $i] :
( ( ( ~ ( ssList @ SV138 ) )
= $true )
| ( ( ~ ( frontsegP @ SV20 @ SV88 )
| ( frontsegP @ ( app @ SV20 @ SV138 ) @ SV88 ) )
= $true )
| ( ( ssList @ SV88 )
= $false )
| ( ( ssList @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(964,plain,
! [SV89: $i,SV22: $i,SV139: $i] :
( ( ( ~ ( ssList @ SV139 ) )
= $true )
| ( ( ~ ( rearsegP @ SV22 @ SV89 )
| ~ ( rearsegP @ SV89 @ SV139 )
| ( rearsegP @ SV22 @ SV139 ) )
= $true )
| ( ( ssList @ SV89 )
= $false )
| ( ( ssList @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(965,plain,
! [SV90: $i,SV23: $i] :
( ( ( ~ ( rearsegP @ SV23 @ SV90 ) )
= $true )
| ( ( ~ ( rearsegP @ SV90 @ SV23 ) )
= $true )
| ( ( SV23 = SV90 )
= $true )
| ( ( ssList @ SV90 )
= $false )
| ( ( ssList @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(966,plain,
! [SV91: $i,SV25: $i,SV140: $i] :
( ( ( ~ ( ssList @ SV140 ) )
= $true )
| ( ( ~ ( rearsegP @ SV25 @ SV91 )
| ( rearsegP @ ( app @ SV140 @ SV25 ) @ SV91 ) )
= $true )
| ( ( ssList @ SV91 )
= $false )
| ( ( ssList @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(967,plain,
! [SV92: $i,SV27: $i,SV141: $i] :
( ( ( ~ ( ssList @ SV141 ) )
= $true )
| ( ( ~ ( segmentP @ SV27 @ SV92 )
| ~ ( segmentP @ SV92 @ SV141 )
| ( segmentP @ SV27 @ SV141 ) )
= $true )
| ( ( ssList @ SV92 )
= $false )
| ( ( ssList @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(968,plain,
! [SV93: $i,SV28: $i] :
( ( ( ~ ( segmentP @ SV28 @ SV93 ) )
= $true )
| ( ( ~ ( segmentP @ SV93 @ SV28 ) )
= $true )
| ( ( SV28 = SV93 )
= $true )
| ( ( ssList @ SV93 )
= $false )
| ( ( ssList @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(969,plain,
! [SV94: $i,SV30: $i,SV142: $i] :
( ( ( ~ ( ssList @ SV142 ) )
= $true )
| ( ( ! [SY807: $i] :
( ~ ( ssList @ SY807 )
| ~ ( segmentP @ SV30 @ SV94 )
| ( segmentP @ ( app @ ( app @ SV142 @ SV30 ) @ SY807 ) @ SV94 ) ) )
= $true )
| ( ( ssList @ SV94 )
= $false )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(970,plain,
! [SV39: $i,SV95: $i] :
( ( ( ( nil = SV95 )
| ( nil = SV39 )
| ( ( hd @ SV95 )
!= ( hd @ SV39 ) ) )
= $true )
| ( ( ( ( tl @ SV95 )
!= ( tl @ SV39 ) ) )
= $true )
| ( ( SV95 = SV39 )
= $true )
| ( ( ssList @ SV95 )
= $false )
| ( ( ssList @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(971,plain,
! [SV41: $i,SV96: $i,SV143: $i] :
( ( ( ~ ( ssList @ SV143 ) )
= $true )
| ( ( ( ( app @ SV143 @ SV96 )
!= ( app @ SV41 @ SV96 ) )
| ( SV143 = SV41 ) )
= $true )
| ( ( ssList @ SV96 )
= $false )
| ( ( ssList @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(972,plain,
! [SV42: $i,SV97: $i,SV144: $i] :
( ( ( ~ ( ssList @ SV144 ) )
= $true )
| ( ( ( ( app @ SV97 @ SV144 )
!= ( app @ SV97 @ SV42 ) )
| ( SV144 = SV42 ) )
= $true )
| ( ( ssList @ SV97 )
= $false )
| ( ( ssList @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(973,plain,
! [SV99: $i,SV44: $i,SV145: $i] :
( ( ( ~ ( ssList @ SV145 ) )
= $true )
| ( ( ( app @ ( app @ SV44 @ SV99 ) @ SV145 )
= ( app @ SV44 @ ( app @ SV99 @ SV145 ) ) )
= $true )
| ( ( ssList @ SV99 )
= $false )
| ( ( ssList @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(974,plain,
! [SV102: $i,SV48: $i] :
( ( ( ~ ( geq @ SV48 @ SV102 ) )
= $true )
| ( ( ~ ( geq @ SV102 @ SV48 ) )
= $true )
| ( ( SV48 = SV102 )
= $true )
| ( ( ssItem @ SV102 )
= $false )
| ( ( ssItem @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(975,plain,
! [SV103: $i,SV49: $i,SV146: $i] :
( ( ( ~ ( ssItem @ SV146 ) )
= $true )
| ( ( ~ ( geq @ SV49 @ SV103 )
| ~ ( geq @ SV103 @ SV146 )
| ( geq @ SV49 @ SV146 ) )
= $true )
| ( ( ssItem @ SV103 )
= $false )
| ( ( ssItem @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(976,plain,
! [SV104: $i,SV52: $i,SV147: $i] :
( ( ( ~ ( ssItem @ SV147 ) )
= $true )
| ( ( ~ ( leq @ SV52 @ SV104 )
| ~ ( lt @ SV104 @ SV147 )
| ( lt @ SV52 @ SV147 ) )
= $true )
| ( ( ssItem @ SV104 )
= $false )
| ( ( ssItem @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(977,plain,
! [SV105: $i,SV53: $i] :
( ( ( leq @ SV53 @ SV105 )
= $false )
| ( ( ( SV53 = SV105 )
| ( lt @ SV53 @ SV105 ) )
= $true )
| ( ( ssItem @ SV105 )
= $false )
| ( ( ssItem @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(978,plain,
! [SV106: $i,SV54: $i] :
( ( ( gt @ SV54 @ SV106 )
= $false )
| ( ( ~ ( gt @ SV106 @ SV54 ) )
= $true )
| ( ( ssItem @ SV106 )
= $false )
| ( ( ssItem @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(979,plain,
! [SV107: $i,SV55: $i,SV148: $i] :
( ( ( ~ ( ssItem @ SV148 ) )
= $true )
| ( ( ~ ( gt @ SV55 @ SV107 )
| ~ ( gt @ SV107 @ SV148 )
| ( gt @ SV55 @ SV148 ) )
= $true )
| ( ( ssItem @ SV107 )
= $false )
| ( ( ssItem @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(980,plain,
! [SV108: $i,SV57: $i,SV149: $i] :
( ( ( ~ ( ssList @ SV149 ) )
= $true )
| ( ( ~ ( ~ ! [SY808: $i] :
( ~ ( ssList @ SY808 )
| ( SV57 != SV108 )
| ~ ( frontsegP @ SV149 @ SY808 )
| ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY808 ) ) )
| ~ ~ ( ~ ! [SY809: $i] :
( ~ ( ssList @ SY809 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY809 ) )
| ( SV57 = SV108 ) )
| ~ ! [SY810: $i] :
( ~ ( ssList @ SY810 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY810 ) )
| ( frontsegP @ SV149 @ SY810 ) ) ) ) )
= $true )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(981,plain,
! [SV109: $i] :
( ( ( ~ ( ssItem @ ( sK28_V @ SV109 ) )
| ~ ~ ( ~ ( ssItem @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(982,plain,
! [SV110: $i] :
( ( ( strictorderP @ SV110 )
= $false )
| ( ( ! [SY763: $i] :
( ~ ( ssItem @ SY763 )
| ! [SY764: $i] :
( ~ ( ssItem @ SY764 )
| ! [SY765: $i] :
( ~ ( ssList @ SY765 )
| ! [SY766: $i] :
( ~ ( ssList @ SY766 )
| ! [SY767: $i] :
( ~ ( ssList @ SY767 )
| ( ( app @ ( app @ SY765 @ ( cons @ SY763 @ SY766 ) ) @ ( cons @ SY764 @ SY767 ) )
!= SV110 )
| ( lt @ SY763 @ SY764 )
| ( lt @ SY764 @ SY763 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(983,plain,
! [SV58: $i,SV150: $i] :
( ( ( ~ ( ssItem @ SV150 ) )
= $true )
| ( ( ! [SY811: $i] :
( ! [SY812: $i] :
( ( ( app @ SY811 @ ( cons @ SV150 @ SY812 ) )
!= SV58 )
| ~ ( ssList @ SY812 ) )
| ~ ( ssList @ SY811 ) )
| ( memberP @ SV58 @ SV150 ) )
= $true )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(984,plain,
! [SV58: $i,SV151: $i] :
( ( ( ~ ( ssItem @ SV151 ) )
= $true )
| ( ( ~ ( memberP @ SV58 @ SV151 )
| ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SV151 @ SV58 ) ) ) )
= $true )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(985,plain,
! [SV59: $i] :
( ( ( ~ ~ ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) )
| ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(986,plain,
! [SV59: $i] :
( ( ( ~ ! [SY699: $i] :
( ~ ( ssList @ SY699 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY699 ) )
| ( leq @ SV59 @ ( hd @ SY699 ) )
| ( nil = SY699 ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(987,plain,
! [SV59: $i] :
( ( ( ~ ! [SY700: $i] :
( ~ ( ssList @ SY700 )
| ( nil = SY700 )
| ~ ( totalorderedP @ SY700 )
| ~ ( leq @ SV59 @ ( hd @ SY700 ) )
| ( totalorderedP @ ( cons @ SV59 @ SY700 ) ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(988,plain,
! [SV59: $i] :
( ( ( ~ ! [SY701: $i] :
( ~ ( ssList @ SY701 )
| ( nil != SY701 )
| ( totalorderedP @ ( cons @ SV59 @ SY701 ) ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(989,plain,
! [SV60: $i,SV152: $i] :
( ( ( ~ ( ssItem @ SV152 ) )
= $true )
| ( ( ~ ( gt @ SV60 @ SV152 )
| ( lt @ SV152 @ SV60 ) )
= $true )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(990,plain,
! [SV60: $i,SV153: $i] :
( ( ( ~ ( ssItem @ SV153 ) )
= $true )
| ( ( ~ ( lt @ SV153 @ SV60 )
| ( gt @ SV60 @ SV153 ) )
= $true )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[908]) ).
thf(991,plain,
! [SV61: $i,SV154: $i] :
( ( ( ~ ( ssList @ SV154 ) )
= $true )
| ( ( ! [SY813: $i] :
( ( ( app @ SV154 @ SY813 )
!= SV61 )
| ~ ( ssList @ SY813 ) )
| ( frontsegP @ SV61 @ SV154 ) )
= $true )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[909]) ).
thf(992,plain,
! [SV61: $i,SV155: $i] :
( ( ( ~ ( ssList @ SV155 ) )
= $true )
| ( ( ~ ( frontsegP @ SV61 @ SV155 )
| ~ ( ( ( app @ SV155 @ ( sK46_W @ SV155 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SV155 @ SV61 ) ) ) )
= $true )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(993,plain,
! [SV62: $i,SV156: $i] :
( ( ( ~ ( ssItem @ SV156 ) )
= $true )
| ( ( ~ ( geq @ SV62 @ SV156 )
| ( leq @ SV156 @ SV62 ) )
= $true )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(994,plain,
! [SV62: $i,SV157: $i] :
( ( ( ~ ( ssItem @ SV157 ) )
= $true )
| ( ( ~ ( leq @ SV157 @ SV62 )
| ( geq @ SV62 @ SV157 ) )
= $true )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[912]) ).
thf(995,plain,
! [SV111: $i] :
( ( ( ~ ( ssItem @ ( sK9_V @ SV111 ) )
| ~ ~ ( ~ ( ssItem @ ( sK10_SY570 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(996,plain,
! [SV112: $i] :
( ( ( equalelemsP @ SV112 )
= $false )
| ( ( ! [SY768: $i] :
( ~ ( ssItem @ SY768 )
| ! [SY769: $i] :
( ~ ( ssItem @ SY769 )
| ! [SY770: $i] :
( ~ ( ssList @ SY770 )
| ! [SY771: $i] :
( ~ ( ssList @ SY771 )
| ( ( app @ SY770 @ ( cons @ SY768 @ ( cons @ SY769 @ SY771 ) ) )
!= SV112 )
| ( SY768 = SY769 ) ) ) ) ) )
= $true )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(997,plain,
! [SV113: $i] :
( ( ( ~ ( ssItem @ ( sK33_V @ SV113 ) )
| ~ ~ ( ~ ( ssItem @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(998,plain,
! [SV114: $i] :
( ( ( totalorderP @ SV114 )
= $false )
| ( ( ! [SY772: $i] :
( ~ ( ssItem @ SY772 )
| ! [SY773: $i] :
( ~ ( ssItem @ SY773 )
| ! [SY774: $i] :
( ~ ( ssList @ SY774 )
| ! [SY775: $i] :
( ~ ( ssList @ SY775 )
| ! [SY776: $i] :
( ~ ( ssList @ SY776 )
| ( ( app @ ( app @ SY774 @ ( cons @ SY772 @ SY775 ) ) @ ( cons @ SY773 @ SY776 ) )
!= SV114 )
| ( leq @ SY772 @ SY773 )
| ( leq @ SY773 @ SY772 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(999,plain,
! [SV63: $i,SV158: $i] :
( ( ( ~ ( ssList @ SV158 ) )
= $true )
| ( ( ( SV63 = SV158 )
| ( neq @ SV63 @ SV158 ) )
= $true )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(1000,plain,
! [SV63: $i,SV159: $i] :
( ( ( ~ ( ssList @ SV159 ) )
= $true )
| ( ( ~ ( neq @ SV63 @ SV159 )
| ( SV63 != SV159 ) )
= $true )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(1001,plain,
! [SV115: $i] :
( ( ( ~ ( ssItem @ ( sK13_V @ SV115 ) )
| ~ ~ ( ~ ( ssItem @ ( sK14_SY576 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(1002,plain,
! [SV116: $i] :
( ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ! [SY777: $i] :
( ~ ( ssItem @ SY777 )
| ! [SY778: $i] :
( ~ ( ssItem @ SY778 )
| ! [SY779: $i] :
( ~ ( ssList @ SY779 )
| ! [SY780: $i] :
( ~ ( ssList @ SY780 )
| ! [SY781: $i] :
( ~ ( ssList @ SY781 )
| ( ( app @ ( app @ SY779 @ ( cons @ SY777 @ SY780 ) ) @ ( cons @ SY778 @ SY781 ) )
!= SV116 )
| ( SY777 != SY778 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(1003,plain,
! [SV117: $i] :
( ( ( ~ ( ssItem @ ( sK18_V @ SV117 ) )
| ~ ~ ( ~ ( ssItem @ ( sK19_SY586 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1004,plain,
! [SV118: $i] :
( ( ( strictorderedP @ SV118 )
= $false )
| ( ( ! [SY782: $i] :
( ~ ( ssItem @ SY782 )
| ! [SY783: $i] :
( ~ ( ssItem @ SY783 )
| ! [SY784: $i] :
( ~ ( ssList @ SY784 )
| ! [SY785: $i] :
( ~ ( ssList @ SY785 )
| ! [SY786: $i] :
( ~ ( ssList @ SY786 )
| ( ( app @ ( app @ SY784 @ ( cons @ SY782 @ SY785 ) ) @ ( cons @ SY783 @ SY786 ) )
!= SV118 )
| ( lt @ SY782 @ SY783 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(1005,plain,
! [SV119: $i,SV64: $i,SV160: $i] :
( ( ( ~ ( ssItem @ SV160 ) )
= $true )
| ( ( ~ ( ~ ! [SY814: $i] :
( ~ ( ssItem @ SY814 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY814 @ SV119 ) )
| ( SV160 = SY814 ) )
| ~ ! [SY815: $i] :
( ~ ( ssItem @ SY815 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY815 @ SV119 ) )
| ( SV119 = SV64 ) ) ) )
= $true )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(1006,plain,
! [SV65: $i,SV161: $i] :
( ( ( ~ ( ssItem @ SV161 ) )
= $true )
| ( ( ( SV65 = SV161 )
| ~ ( leq @ SV65 @ SV161 )
| ( lt @ SV65 @ SV161 ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(1007,plain,
! [SV65: $i] :
( ( ( ~ ! [SY716: $i] :
( ~ ( ssItem @ SY716 )
| ~ ( lt @ SV65 @ SY716 )
| ( SV65 != SY716 ) ) )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(1008,plain,
! [SV65: $i] :
( ( ( ~ ! [SY717: $i] :
( ~ ( ssItem @ SY717 )
| ~ ( lt @ SV65 @ SY717 )
| ( leq @ SV65 @ SY717 ) ) )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(1009,plain,
! [SV66: $i,SV162: $i] :
( ( ( ~ ( ssList @ SV162 ) )
= $true )
| ( ( ! [SY816: $i] :
( ( ( app @ SY816 @ SV162 )
!= SV66 )
| ~ ( ssList @ SY816 ) )
| ( rearsegP @ SV66 @ SV162 ) )
= $true )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(1010,plain,
! [SV66: $i,SV163: $i] :
( ( ( ~ ( ssList @ SV163 ) )
= $true )
| ( ( ~ ( rearsegP @ SV66 @ SV163 )
| ~ ( ( ( app @ ( sK45_W @ SV163 @ SV66 ) @ SV163 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SV163 @ SV66 ) ) ) )
= $true )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(1011,plain,
! [SV67: $i] :
( ( ( ( ( cons @ ( sK8_SY569 @ SV67 ) @ ( sK7_V @ SV67 ) )
!= SV67 )
| ~ ( ssItem @ ( sK8_SY569 @ SV67 ) ) )
= $false )
| ( ( nil = SV67 )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(1012,plain,
! [SV68: $i,SV164: $i] :
( ( ( ~ ( ssList @ SV164 ) )
= $true )
| ( ( ( nil != SV164 )
| ( nil != SV68 )
| ( nil
= ( app @ SV68 @ SV164 ) ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(1013,plain,
! [SV68: $i] :
( ( ( ~ ! [SY722: $i] :
( ~ ( ssList @ SY722 )
| ( nil
!= ( app @ SV68 @ SY722 ) )
| ( nil = SY722 ) ) )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(1014,plain,
! [SV68: $i] :
( ( ( ~ ! [SY723: $i] :
( ~ ( ssList @ SY723 )
| ( nil
!= ( app @ SV68 @ SY723 ) )
| ( nil = SV68 ) ) )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(1015,plain,
! [SV120: $i,SV169: $i] :
( ( ( ( ( cons @ SV169 @ nil )
!= SV120 )
| ~ ( ssItem @ SV169 ) )
= $true )
| ( ( singletonP @ SV120 )
= $true )
| ( ( ssList @ SV120 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1016,plain,
! [SV121: $i] :
( ( ( singletonP @ SV121 )
= $false )
| ( ( ~ ( ( ( cons @ ( sK47_V @ SV121 ) @ nil )
!= SV121 )
| ~ ( ssItem @ ( sK47_V @ SV121 ) ) ) )
= $true )
| ( ( ssList @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(1017,plain,
! [SV69: $i,SV122: $i] :
( ( ( ~ ! [SY791: $i] :
( ~ ( ssList @ SY791 )
| ~ ( memberP @ ( cons @ SV122 @ SY791 ) @ SV69 )
| ( SV69 = SV122 )
| ( memberP @ SY791 @ SV69 ) ) )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[935]) ).
thf(1018,plain,
! [SV122: $i,SV69: $i] :
( ( ( ~ ~ ( ~ ! [SY792: $i] :
( ~ ( ssList @ SY792 )
| ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SY792 ) @ SV69 ) )
| ~ ! [SY793: $i] :
( ~ ( ssList @ SY793 )
| ~ ( memberP @ SY793 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SY793 ) @ SV69 ) ) ) )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[935]) ).
thf(1019,plain,
! [SV70: $i,SV165: $i] :
( ( ( ~ ( ssList @ SV165 ) )
= $true )
| ( ( ! [SY817: $i] :
( ! [SY818: $i] :
( ( ( app @ ( app @ SY817 @ SV165 ) @ SY818 )
!= SV70 )
| ~ ( ssList @ SY818 ) )
| ~ ( ssList @ SY817 ) )
| ( segmentP @ SV70 @ SV165 ) )
= $true )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(1020,plain,
! [SV70: $i,SV166: $i] :
( ( ( ~ ( ssList @ SV166 ) )
= $true )
| ( ( ~ ( segmentP @ SV70 @ SV166 )
| ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SV166 @ SV70 ) ) ) )
= $true )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(1021,plain,
! [SV71: $i,SV167: $i] :
( ( ( ~ ( ssItem @ SV167 ) )
= $true )
| ( ( ( SV71 = SV167 )
| ( neq @ SV71 @ SV167 ) )
= $true )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(1022,plain,
! [SV71: $i,SV168: $i] :
( ( ( ~ ( ssItem @ SV168 ) )
= $true )
| ( ( ~ ( neq @ SV71 @ SV168 )
| ( SV71 != SV168 ) )
= $true )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(1023,plain,
! [SV72: $i] :
( ( ( ~ ~ ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) )
| ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1024,plain,
! [SV72: $i] :
( ( ( ~ ! [SY736: $i] :
( ~ ( ssList @ SY736 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY736 ) )
| ( lt @ SV72 @ ( hd @ SY736 ) )
| ( nil = SY736 ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1025,plain,
! [SV72: $i] :
( ( ( ~ ! [SY737: $i] :
( ~ ( ssList @ SY737 )
| ( nil = SY737 )
| ~ ( strictorderedP @ SY737 )
| ~ ( lt @ SV72 @ ( hd @ SY737 ) )
| ( strictorderedP @ ( cons @ SV72 @ SY737 ) ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(1026,plain,
! [SV72: $i] :
( ( ( ~ ! [SY738: $i] :
( ~ ( ssList @ SY738 )
| ( nil != SY738 )
| ( strictorderedP @ ( cons @ SV72 @ SY738 ) ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(1027,plain,
! [SV123: $i] :
( ( ( nil = SV123 )
= $false )
| ( ( rearsegP @ nil @ SV123 )
= $true )
| ( ( ssList @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1028,plain,
! [SV124: $i] :
( ( ( rearsegP @ nil @ SV124 )
= $false )
| ( ( nil = SV124 )
= $true )
| ( ( ssList @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1029,plain,
! [SV125: $i] :
( ( ( nil = SV125 )
= $false )
| ( ( frontsegP @ nil @ SV125 )
= $true )
| ( ( ssList @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1030,plain,
! [SV126: $i] :
( ( ( frontsegP @ nil @ SV126 )
= $false )
| ( ( nil = SV126 )
= $true )
| ( ( ssList @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(1031,plain,
! [SV127: $i] :
( ( ( ~ ( ssItem @ ( sK38_V @ SV127 ) )
| ~ ~ ( ~ ( ssItem @ ( sK39_SY626 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1032,plain,
! [SV128: $i] :
( ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ! [SY794: $i] :
( ~ ( ssItem @ SY794 )
| ! [SY795: $i] :
( ~ ( ssItem @ SY795 )
| ! [SY796: $i] :
( ~ ( ssList @ SY796 )
| ! [SY797: $i] :
( ~ ( ssList @ SY797 )
| ! [SY798: $i] :
( ~ ( ssList @ SY798 )
| ( ( app @ ( app @ SY796 @ ( cons @ SY794 @ SY797 ) ) @ ( cons @ SY795 @ SY798 ) )
!= SV128 )
| ~ ( leq @ SY794 @ SY795 )
| ~ ( leq @ SY795 @ SY794 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1033,plain,
( ( ~ ( ssList @ sK4_SY560 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1034,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1035,plain,
! [SV73: $i,SV129: $i] :
( ( ( ~ ! [SY799: $i] :
( ~ ( ssList @ SY799 )
| ~ ( memberP @ ( app @ SV129 @ SY799 ) @ SV73 )
| ( memberP @ SV129 @ SV73 )
| ( memberP @ SY799 @ SV73 ) ) )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(1036,plain,
! [SV73: $i,SV129: $i] :
( ( ( ~ ~ ( ~ ! [SY800: $i] :
( ~ ( ssList @ SY800 )
| ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY800 ) @ SV73 ) )
| ~ ! [SY801: $i] :
( ~ ( ssList @ SY801 )
| ~ ( memberP @ SY801 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY801 ) @ SV73 ) ) ) )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(1037,plain,
! [SV130: $i] :
( ( ( ~ ( ssItem @ ( sK23_V @ SV130 ) )
| ~ ~ ( ~ ( ssItem @ ( sK24_SY596 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(1038,plain,
! [SV131: $i] :
( ( ( totalorderedP @ SV131 )
= $false )
| ( ( ! [SY802: $i] :
( ~ ( ssItem @ SY802 )
| ! [SY803: $i] :
( ~ ( ssItem @ SY803 )
| ! [SY804: $i] :
( ~ ( ssList @ SY804 )
| ! [SY805: $i] :
( ~ ( ssList @ SY805 )
| ! [SY806: $i] :
( ~ ( ssList @ SY806 )
| ( ( app @ ( app @ SY804 @ ( cons @ SY802 @ SY805 ) ) @ ( cons @ SY803 @ SY806 ) )
!= SV131 )
| ( leq @ SY802 @ SY803 ) ) ) ) ) ) )
= $true )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1039,plain,
! [SV132: $i] :
( ( ( nil = SV132 )
= $false )
| ( ( segmentP @ nil @ SV132 )
= $true )
| ( ( ssList @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(1040,plain,
! [SV133: $i] :
( ( ( segmentP @ nil @ SV133 )
= $false )
| ( ( nil = SV133 )
= $true )
| ( ( ssList @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(1041,plain,
! [SV9: $i,SV81: $i,SV134: $i] :
( ( ( ssItem @ SV134 )
= $false )
| ( ( ( cons @ SV134 @ ( app @ SV81 @ SV9 ) )
= ( app @ ( cons @ SV134 @ SV81 ) @ SV9 ) )
= $true )
| ( ( ssList @ SV81 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1042,plain,
! [SV82: $i,SV11: $i] :
( ( ( leq @ SV11 @ SV82 )
= $false )
| ( ( ~ ( leq @ SV82 @ SV11 ) )
= $true )
| ( ( SV11 = SV82 )
= $true )
| ( ( ssItem @ SV82 )
= $false )
| ( ( ssItem @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(1043,plain,
! [SV83: $i,SV12: $i,SV135: $i] :
( ( ( ssItem @ SV135 )
= $false )
| ( ( ~ ( leq @ SV12 @ SV83 )
| ~ ( leq @ SV83 @ SV135 )
| ( leq @ SV12 @ SV135 ) )
= $true )
| ( ( ssItem @ SV83 )
= $false )
| ( ( ssItem @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1044,plain,
! [SV14: $i,SV84: $i] :
( ( ( lt @ SV84 @ SV14 )
= $false )
| ( ( lt @ SV14 @ SV84 )
= $false )
| ( ( ssItem @ SV84 )
= $false )
| ( ( ssItem @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1045,plain,
! [SV85: $i,SV15: $i,SV136: $i] :
( ( ( ssItem @ SV136 )
= $false )
| ( ( ~ ( lt @ SV15 @ SV85 )
| ~ ( lt @ SV85 @ SV136 )
| ( lt @ SV15 @ SV136 ) )
= $true )
| ( ( ssItem @ SV85 )
= $false )
| ( ( ssItem @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1046,plain,
! [SV86: $i,SV17: $i,SV137: $i] :
( ( ( ssList @ SV137 )
= $false )
| ( ( ~ ( frontsegP @ SV17 @ SV86 )
| ~ ( frontsegP @ SV86 @ SV137 )
| ( frontsegP @ SV17 @ SV137 ) )
= $true )
| ( ( ssList @ SV86 )
= $false )
| ( ( ssList @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1047,plain,
! [SV87: $i,SV18: $i] :
( ( ( frontsegP @ SV18 @ SV87 )
= $false )
| ( ( ~ ( frontsegP @ SV87 @ SV18 ) )
= $true )
| ( ( SV18 = SV87 )
= $true )
| ( ( ssList @ SV87 )
= $false )
| ( ( ssList @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1048,plain,
! [SV88: $i,SV20: $i,SV138: $i] :
( ( ( ssList @ SV138 )
= $false )
| ( ( ~ ( frontsegP @ SV20 @ SV88 )
| ( frontsegP @ ( app @ SV20 @ SV138 ) @ SV88 ) )
= $true )
| ( ( ssList @ SV88 )
= $false )
| ( ( ssList @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1049,plain,
! [SV89: $i,SV22: $i,SV139: $i] :
( ( ( ssList @ SV139 )
= $false )
| ( ( ~ ( rearsegP @ SV22 @ SV89 )
| ~ ( rearsegP @ SV89 @ SV139 )
| ( rearsegP @ SV22 @ SV139 ) )
= $true )
| ( ( ssList @ SV89 )
= $false )
| ( ( ssList @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(1050,plain,
! [SV90: $i,SV23: $i] :
( ( ( rearsegP @ SV23 @ SV90 )
= $false )
| ( ( ~ ( rearsegP @ SV90 @ SV23 ) )
= $true )
| ( ( SV23 = SV90 )
= $true )
| ( ( ssList @ SV90 )
= $false )
| ( ( ssList @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1051,plain,
! [SV91: $i,SV25: $i,SV140: $i] :
( ( ( ssList @ SV140 )
= $false )
| ( ( ~ ( rearsegP @ SV25 @ SV91 )
| ( rearsegP @ ( app @ SV140 @ SV25 ) @ SV91 ) )
= $true )
| ( ( ssList @ SV91 )
= $false )
| ( ( ssList @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1052,plain,
! [SV92: $i,SV27: $i,SV141: $i] :
( ( ( ssList @ SV141 )
= $false )
| ( ( ~ ( segmentP @ SV27 @ SV92 )
| ~ ( segmentP @ SV92 @ SV141 )
| ( segmentP @ SV27 @ SV141 ) )
= $true )
| ( ( ssList @ SV92 )
= $false )
| ( ( ssList @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(1053,plain,
! [SV93: $i,SV28: $i] :
( ( ( segmentP @ SV28 @ SV93 )
= $false )
| ( ( ~ ( segmentP @ SV93 @ SV28 ) )
= $true )
| ( ( SV28 = SV93 )
= $true )
| ( ( ssList @ SV93 )
= $false )
| ( ( ssList @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(1054,plain,
! [SV94: $i,SV30: $i,SV142: $i] :
( ( ( ssList @ SV142 )
= $false )
| ( ( ! [SY807: $i] :
( ~ ( ssList @ SY807 )
| ~ ( segmentP @ SV30 @ SV94 )
| ( segmentP @ ( app @ ( app @ SV142 @ SV30 ) @ SY807 ) @ SV94 ) ) )
= $true )
| ( ( ssList @ SV94 )
= $false )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1055,plain,
! [SV39: $i,SV95: $i] :
( ( ( ( nil = SV95 )
| ( nil = SV39 ) )
= $true )
| ( ( ( ( hd @ SV95 )
!= ( hd @ SV39 ) ) )
= $true )
| ( ( ( ( tl @ SV95 )
!= ( tl @ SV39 ) ) )
= $true )
| ( ( SV95 = SV39 )
= $true )
| ( ( ssList @ SV95 )
= $false )
| ( ( ssList @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(1056,plain,
! [SV41: $i,SV96: $i,SV143: $i] :
( ( ( ssList @ SV143 )
= $false )
| ( ( ( ( app @ SV143 @ SV96 )
!= ( app @ SV41 @ SV96 ) )
| ( SV143 = SV41 ) )
= $true )
| ( ( ssList @ SV96 )
= $false )
| ( ( ssList @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1057,plain,
! [SV42: $i,SV97: $i,SV144: $i] :
( ( ( ssList @ SV144 )
= $false )
| ( ( ( ( app @ SV97 @ SV144 )
!= ( app @ SV97 @ SV42 ) )
| ( SV144 = SV42 ) )
= $true )
| ( ( ssList @ SV97 )
= $false )
| ( ( ssList @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1058,plain,
! [SV99: $i,SV44: $i,SV145: $i] :
( ( ( ssList @ SV145 )
= $false )
| ( ( ( app @ ( app @ SV44 @ SV99 ) @ SV145 )
= ( app @ SV44 @ ( app @ SV99 @ SV145 ) ) )
= $true )
| ( ( ssList @ SV99 )
= $false )
| ( ( ssList @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1059,plain,
! [SV102: $i,SV48: $i] :
( ( ( geq @ SV48 @ SV102 )
= $false )
| ( ( ~ ( geq @ SV102 @ SV48 ) )
= $true )
| ( ( SV48 = SV102 )
= $true )
| ( ( ssItem @ SV102 )
= $false )
| ( ( ssItem @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1060,plain,
! [SV103: $i,SV49: $i,SV146: $i] :
( ( ( ssItem @ SV146 )
= $false )
| ( ( ~ ( geq @ SV49 @ SV103 )
| ~ ( geq @ SV103 @ SV146 )
| ( geq @ SV49 @ SV146 ) )
= $true )
| ( ( ssItem @ SV103 )
= $false )
| ( ( ssItem @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1061,plain,
! [SV104: $i,SV52: $i,SV147: $i] :
( ( ( ssItem @ SV147 )
= $false )
| ( ( ~ ( leq @ SV52 @ SV104 )
| ~ ( lt @ SV104 @ SV147 )
| ( lt @ SV52 @ SV147 ) )
= $true )
| ( ( ssItem @ SV104 )
= $false )
| ( ( ssItem @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1062,plain,
! [SV105: $i,SV53: $i] :
( ( ( SV53 = SV105 )
= $true )
| ( ( lt @ SV53 @ SV105 )
= $true )
| ( ( leq @ SV53 @ SV105 )
= $false )
| ( ( ssItem @ SV105 )
= $false )
| ( ( ssItem @ SV53 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1063,plain,
! [SV54: $i,SV106: $i] :
( ( ( gt @ SV106 @ SV54 )
= $false )
| ( ( gt @ SV54 @ SV106 )
= $false )
| ( ( ssItem @ SV106 )
= $false )
| ( ( ssItem @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1064,plain,
! [SV107: $i,SV55: $i,SV148: $i] :
( ( ( ssItem @ SV148 )
= $false )
| ( ( ~ ( gt @ SV55 @ SV107 )
| ~ ( gt @ SV107 @ SV148 )
| ( gt @ SV55 @ SV148 ) )
= $true )
| ( ( ssItem @ SV107 )
= $false )
| ( ( ssItem @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1065,plain,
! [SV108: $i,SV57: $i,SV149: $i] :
( ( ( ssList @ SV149 )
= $false )
| ( ( ~ ( ~ ! [SY808: $i] :
( ~ ( ssList @ SY808 )
| ( SV57 != SV108 )
| ~ ( frontsegP @ SV149 @ SY808 )
| ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY808 ) ) )
| ~ ~ ( ~ ! [SY809: $i] :
( ~ ( ssList @ SY809 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY809 ) )
| ( SV57 = SV108 ) )
| ~ ! [SY810: $i] :
( ~ ( ssList @ SY810 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY810 ) )
| ( frontsegP @ SV149 @ SY810 ) ) ) ) )
= $true )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1066,plain,
! [SV109: $i] :
( ( ( ~ ( ssItem @ ( sK28_V @ SV109 ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(1067,plain,
! [SV109: $i] :
( ( ( ~ ~ ( ~ ( ssItem @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(1068,plain,
! [SV110: $i,SV170: $i] :
( ( ( ~ ( ssItem @ SV170 )
| ! [SY819: $i] :
( ~ ( ssItem @ SY819 )
| ! [SY820: $i] :
( ~ ( ssList @ SY820 )
| ! [SY821: $i] :
( ~ ( ssList @ SY821 )
| ! [SY822: $i] :
( ~ ( ssList @ SY822 )
| ( ( app @ ( app @ SY820 @ ( cons @ SV170 @ SY821 ) ) @ ( cons @ SY819 @ SY822 ) )
!= SV110 )
| ( lt @ SV170 @ SY819 )
| ( lt @ SY819 @ SV170 ) ) ) ) ) )
= $true )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[982]) ).
thf(1069,plain,
! [SV58: $i,SV150: $i] :
( ( ( ssItem @ SV150 )
= $false )
| ( ( ! [SY811: $i] :
( ! [SY812: $i] :
( ( ( app @ SY811 @ ( cons @ SV150 @ SY812 ) )
!= SV58 )
| ~ ( ssList @ SY812 ) )
| ~ ( ssList @ SY811 ) )
| ( memberP @ SV58 @ SV150 ) )
= $true )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1070,plain,
! [SV58: $i,SV151: $i] :
( ( ( ssItem @ SV151 )
= $false )
| ( ( ~ ( memberP @ SV58 @ SV151 )
| ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SV151 @ SV58 ) ) ) )
= $true )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1071,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) )
| ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1072,plain,
! [SV59: $i] :
( ( ( ! [SY699: $i] :
( ~ ( ssList @ SY699 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY699 ) )
| ( leq @ SV59 @ ( hd @ SY699 ) )
| ( nil = SY699 ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[986]) ).
thf(1073,plain,
! [SV59: $i] :
( ( ( ! [SY700: $i] :
( ~ ( ssList @ SY700 )
| ( nil = SY700 )
| ~ ( totalorderedP @ SY700 )
| ~ ( leq @ SV59 @ ( hd @ SY700 ) )
| ( totalorderedP @ ( cons @ SV59 @ SY700 ) ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1074,plain,
! [SV59: $i] :
( ( ( ! [SY701: $i] :
( ~ ( ssList @ SY701 )
| ( nil != SY701 )
| ( totalorderedP @ ( cons @ SV59 @ SY701 ) ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1075,plain,
! [SV60: $i,SV152: $i] :
( ( ( ssItem @ SV152 )
= $false )
| ( ( ~ ( gt @ SV60 @ SV152 )
| ( lt @ SV152 @ SV60 ) )
= $true )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1076,plain,
! [SV60: $i,SV153: $i] :
( ( ( ssItem @ SV153 )
= $false )
| ( ( ~ ( lt @ SV153 @ SV60 )
| ( gt @ SV60 @ SV153 ) )
= $true )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1077,plain,
! [SV61: $i,SV154: $i] :
( ( ( ssList @ SV154 )
= $false )
| ( ( ! [SY813: $i] :
( ( ( app @ SV154 @ SY813 )
!= SV61 )
| ~ ( ssList @ SY813 ) )
| ( frontsegP @ SV61 @ SV154 ) )
= $true )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1078,plain,
! [SV61: $i,SV155: $i] :
( ( ( ssList @ SV155 )
= $false )
| ( ( ~ ( frontsegP @ SV61 @ SV155 )
| ~ ( ( ( app @ SV155 @ ( sK46_W @ SV155 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SV155 @ SV61 ) ) ) )
= $true )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1079,plain,
! [SV62: $i,SV156: $i] :
( ( ( ssItem @ SV156 )
= $false )
| ( ( ~ ( geq @ SV62 @ SV156 )
| ( leq @ SV156 @ SV62 ) )
= $true )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1080,plain,
! [SV62: $i,SV157: $i] :
( ( ( ssItem @ SV157 )
= $false )
| ( ( ~ ( leq @ SV157 @ SV62 )
| ( geq @ SV62 @ SV157 ) )
= $true )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1081,plain,
! [SV111: $i] :
( ( ( ~ ( ssItem @ ( sK9_V @ SV111 ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1082,plain,
! [SV111: $i] :
( ( ( ~ ~ ( ~ ( ssItem @ ( sK10_SY570 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1083,plain,
! [SV112: $i,SV171: $i] :
( ( ( ~ ( ssItem @ SV171 )
| ! [SY823: $i] :
( ~ ( ssItem @ SY823 )
| ! [SY824: $i] :
( ~ ( ssList @ SY824 )
| ! [SY825: $i] :
( ~ ( ssList @ SY825 )
| ( ( app @ SY824 @ ( cons @ SV171 @ ( cons @ SY823 @ SY825 ) ) )
!= SV112 )
| ( SV171 = SY823 ) ) ) ) )
= $true )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1084,plain,
! [SV113: $i] :
( ( ( ~ ( ssItem @ ( sK33_V @ SV113 ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1085,plain,
! [SV113: $i] :
( ( ( ~ ~ ( ~ ( ssItem @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1086,plain,
! [SV114: $i,SV172: $i] :
( ( ( ~ ( ssItem @ SV172 )
| ! [SY826: $i] :
( ~ ( ssItem @ SY826 )
| ! [SY827: $i] :
( ~ ( ssList @ SY827 )
| ! [SY828: $i] :
( ~ ( ssList @ SY828 )
| ! [SY829: $i] :
( ~ ( ssList @ SY829 )
| ( ( app @ ( app @ SY827 @ ( cons @ SV172 @ SY828 ) ) @ ( cons @ SY826 @ SY829 ) )
!= SV114 )
| ( leq @ SV172 @ SY826 )
| ( leq @ SY826 @ SV172 ) ) ) ) ) )
= $true )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1087,plain,
! [SV63: $i,SV158: $i] :
( ( ( ssList @ SV158 )
= $false )
| ( ( ( SV63 = SV158 )
| ( neq @ SV63 @ SV158 ) )
= $true )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1088,plain,
! [SV63: $i,SV159: $i] :
( ( ( ssList @ SV159 )
= $false )
| ( ( ~ ( neq @ SV63 @ SV159 )
| ( SV63 != SV159 ) )
= $true )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1089,plain,
! [SV115: $i] :
( ( ( ~ ( ssItem @ ( sK13_V @ SV115 ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1090,plain,
! [SV115: $i] :
( ( ( ~ ~ ( ~ ( ssItem @ ( sK14_SY576 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1001]) ).
thf(1091,plain,
! [SV116: $i,SV173: $i] :
( ( ( ~ ( ssItem @ SV173 )
| ! [SY830: $i] :
( ~ ( ssItem @ SY830 )
| ! [SY831: $i] :
( ~ ( ssList @ SY831 )
| ! [SY832: $i] :
( ~ ( ssList @ SY832 )
| ! [SY833: $i] :
( ~ ( ssList @ SY833 )
| ( ( app @ ( app @ SY831 @ ( cons @ SV173 @ SY832 ) ) @ ( cons @ SY830 @ SY833 ) )
!= SV116 )
| ( SV173 != SY830 ) ) ) ) ) )
= $true )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1002]) ).
thf(1092,plain,
! [SV117: $i] :
( ( ( ~ ( ssItem @ ( sK18_V @ SV117 ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1093,plain,
! [SV117: $i] :
( ( ( ~ ~ ( ~ ( ssItem @ ( sK19_SY586 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1094,plain,
! [SV118: $i,SV174: $i] :
( ( ( ~ ( ssItem @ SV174 )
| ! [SY834: $i] :
( ~ ( ssItem @ SY834 )
| ! [SY835: $i] :
( ~ ( ssList @ SY835 )
| ! [SY836: $i] :
( ~ ( ssList @ SY836 )
| ! [SY837: $i] :
( ~ ( ssList @ SY837 )
| ( ( app @ ( app @ SY835 @ ( cons @ SV174 @ SY836 ) ) @ ( cons @ SY834 @ SY837 ) )
!= SV118 )
| ( lt @ SV174 @ SY834 ) ) ) ) ) )
= $true )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1095,plain,
! [SV119: $i,SV64: $i,SV160: $i] :
( ( ( ssItem @ SV160 )
= $false )
| ( ( ~ ( ~ ! [SY814: $i] :
( ~ ( ssItem @ SY814 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY814 @ SV119 ) )
| ( SV160 = SY814 ) )
| ~ ! [SY815: $i] :
( ~ ( ssItem @ SY815 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY815 @ SV119 ) )
| ( SV119 = SV64 ) ) ) )
= $true )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1096,plain,
! [SV65: $i,SV161: $i] :
( ( ( ssItem @ SV161 )
= $false )
| ( ( ( SV65 = SV161 )
| ~ ( leq @ SV65 @ SV161 )
| ( lt @ SV65 @ SV161 ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1097,plain,
! [SV65: $i] :
( ( ( ! [SY716: $i] :
( ~ ( ssItem @ SY716 )
| ~ ( lt @ SV65 @ SY716 )
| ( SV65 != SY716 ) ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1098,plain,
! [SV65: $i] :
( ( ( ! [SY717: $i] :
( ~ ( ssItem @ SY717 )
| ~ ( lt @ SV65 @ SY717 )
| ( leq @ SV65 @ SY717 ) ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1099,plain,
! [SV66: $i,SV162: $i] :
( ( ( ssList @ SV162 )
= $false )
| ( ( ! [SY816: $i] :
( ( ( app @ SY816 @ SV162 )
!= SV66 )
| ~ ( ssList @ SY816 ) )
| ( rearsegP @ SV66 @ SV162 ) )
= $true )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1100,plain,
! [SV66: $i,SV163: $i] :
( ( ( ssList @ SV163 )
= $false )
| ( ( ~ ( rearsegP @ SV66 @ SV163 )
| ~ ( ( ( app @ ( sK45_W @ SV163 @ SV66 ) @ SV163 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SV163 @ SV66 ) ) ) )
= $true )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1101,plain,
! [SV67: $i] :
( ( ( ( ( cons @ ( sK8_SY569 @ SV67 ) @ ( sK7_V @ SV67 ) )
!= SV67 ) )
= $false )
| ( ( nil = SV67 )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1011]) ).
thf(1102,plain,
! [SV67: $i] :
( ( ( ~ ( ssItem @ ( sK8_SY569 @ SV67 ) ) )
= $false )
| ( ( nil = SV67 )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1011]) ).
thf(1103,plain,
! [SV68: $i,SV164: $i] :
( ( ( ssList @ SV164 )
= $false )
| ( ( ( nil != SV164 )
| ( nil != SV68 )
| ( nil
= ( app @ SV68 @ SV164 ) ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1104,plain,
! [SV68: $i] :
( ( ( ! [SY722: $i] :
( ~ ( ssList @ SY722 )
| ( nil
!= ( app @ SV68 @ SY722 ) )
| ( nil = SY722 ) ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1105,plain,
! [SV68: $i] :
( ( ( ! [SY723: $i] :
( ~ ( ssList @ SY723 )
| ( nil
!= ( app @ SV68 @ SY723 ) )
| ( nil = SV68 ) ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1106,plain,
! [SV120: $i,SV169: $i] :
( ( ( ( ( cons @ SV169 @ nil )
!= SV120 ) )
= $true )
| ( ( ~ ( ssItem @ SV169 ) )
= $true )
| ( ( singletonP @ SV120 )
= $true )
| ( ( ssList @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1107,plain,
! [SV121: $i] :
( ( ( ( ( cons @ ( sK47_V @ SV121 ) @ nil )
!= SV121 )
| ~ ( ssItem @ ( sK47_V @ SV121 ) ) )
= $false )
| ( ( singletonP @ SV121 )
= $false )
| ( ( ssList @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1108,plain,
! [SV69: $i,SV122: $i] :
( ( ( ! [SY791: $i] :
( ~ ( ssList @ SY791 )
| ~ ( memberP @ ( cons @ SV122 @ SY791 ) @ SV69 )
| ( SV69 = SV122 )
| ( memberP @ SY791 @ SV69 ) ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1109,plain,
! [SV122: $i,SV69: $i] :
( ( ( ~ ( ~ ! [SY792: $i] :
( ~ ( ssList @ SY792 )
| ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SY792 ) @ SV69 ) )
| ~ ! [SY793: $i] :
( ~ ( ssList @ SY793 )
| ~ ( memberP @ SY793 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SY793 ) @ SV69 ) ) ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1110,plain,
! [SV70: $i,SV165: $i] :
( ( ( ssList @ SV165 )
= $false )
| ( ( ! [SY817: $i] :
( ! [SY818: $i] :
( ( ( app @ ( app @ SY817 @ SV165 ) @ SY818 )
!= SV70 )
| ~ ( ssList @ SY818 ) )
| ~ ( ssList @ SY817 ) )
| ( segmentP @ SV70 @ SV165 ) )
= $true )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1111,plain,
! [SV70: $i,SV166: $i] :
( ( ( ssList @ SV166 )
= $false )
| ( ( ~ ( segmentP @ SV70 @ SV166 )
| ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SV166 @ SV70 ) ) ) )
= $true )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1112,plain,
! [SV71: $i,SV167: $i] :
( ( ( ssItem @ SV167 )
= $false )
| ( ( ( SV71 = SV167 )
| ( neq @ SV71 @ SV167 ) )
= $true )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1113,plain,
! [SV71: $i,SV168: $i] :
( ( ( ssItem @ SV168 )
= $false )
| ( ( ~ ( neq @ SV71 @ SV168 )
| ( SV71 != SV168 ) )
= $true )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1114,plain,
! [SV72: $i] :
( ( ( ~ ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) )
| ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1023]) ).
thf(1115,plain,
! [SV72: $i] :
( ( ( ! [SY736: $i] :
( ~ ( ssList @ SY736 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY736 ) )
| ( lt @ SV72 @ ( hd @ SY736 ) )
| ( nil = SY736 ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1116,plain,
! [SV72: $i] :
( ( ( ! [SY737: $i] :
( ~ ( ssList @ SY737 )
| ( nil = SY737 )
| ~ ( strictorderedP @ SY737 )
| ~ ( lt @ SV72 @ ( hd @ SY737 ) )
| ( strictorderedP @ ( cons @ SV72 @ SY737 ) ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1117,plain,
! [SV72: $i] :
( ( ( ! [SY738: $i] :
( ~ ( ssList @ SY738 )
| ( nil != SY738 )
| ( strictorderedP @ ( cons @ SV72 @ SY738 ) ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1026]) ).
thf(1118,plain,
! [SV127: $i] :
( ( ( ~ ( ssItem @ ( sK38_V @ SV127 ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1119,plain,
! [SV127: $i] :
( ( ( ~ ~ ( ~ ( ssItem @ ( sK39_SY626 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1031]) ).
thf(1120,plain,
! [SV128: $i,SV175: $i] :
( ( ( ~ ( ssItem @ SV175 )
| ! [SY838: $i] :
( ~ ( ssItem @ SY838 )
| ! [SY839: $i] :
( ~ ( ssList @ SY839 )
| ! [SY840: $i] :
( ~ ( ssList @ SY840 )
| ! [SY841: $i] :
( ~ ( ssList @ SY841 )
| ( ( app @ ( app @ SY839 @ ( cons @ SV175 @ SY840 ) ) @ ( cons @ SY838 @ SY841 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SY838 )
| ~ ( leq @ SY838 @ SV175 ) ) ) ) ) )
= $true )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1032]) ).
thf(1121,plain,
( ( ssList @ sK4_SY560 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1122,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1123,plain,
! [SV73: $i,SV129: $i] :
( ( ( ! [SY799: $i] :
( ~ ( ssList @ SY799 )
| ~ ( memberP @ ( app @ SV129 @ SY799 ) @ SV73 )
| ( memberP @ SV129 @ SV73 )
| ( memberP @ SY799 @ SV73 ) ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1124,plain,
! [SV73: $i,SV129: $i] :
( ( ( ~ ( ~ ! [SY800: $i] :
( ~ ( ssList @ SY800 )
| ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY800 ) @ SV73 ) )
| ~ ! [SY801: $i] :
( ~ ( ssList @ SY801 )
| ~ ( memberP @ SY801 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY801 ) @ SV73 ) ) ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1125,plain,
! [SV130: $i] :
( ( ( ~ ( ssItem @ ( sK23_V @ SV130 ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1126,plain,
! [SV130: $i] :
( ( ( ~ ~ ( ~ ( ssItem @ ( sK24_SY596 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1127,plain,
! [SV131: $i,SV176: $i] :
( ( ( ~ ( ssItem @ SV176 )
| ! [SY842: $i] :
( ~ ( ssItem @ SY842 )
| ! [SY843: $i] :
( ~ ( ssList @ SY843 )
| ! [SY844: $i] :
( ~ ( ssList @ SY844 )
| ! [SY845: $i] :
( ~ ( ssList @ SY845 )
| ( ( app @ ( app @ SY843 @ ( cons @ SV176 @ SY844 ) ) @ ( cons @ SY842 @ SY845 ) )
!= SV131 )
| ( leq @ SV176 @ SY842 ) ) ) ) ) )
= $true )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1128,plain,
! [SV11: $i,SV82: $i] :
( ( ( leq @ SV82 @ SV11 )
= $false )
| ( ( leq @ SV11 @ SV82 )
= $false )
| ( ( SV11 = SV82 )
= $true )
| ( ( ssItem @ SV82 )
= $false )
| ( ( ssItem @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1129,plain,
! [SV135: $i,SV83: $i,SV12: $i] :
( ( ( ~ ( leq @ SV12 @ SV83 )
| ~ ( leq @ SV83 @ SV135 ) )
= $true )
| ( ( leq @ SV12 @ SV135 )
= $true )
| ( ( ssItem @ SV135 )
= $false )
| ( ( ssItem @ SV83 )
= $false )
| ( ( ssItem @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1130,plain,
! [SV136: $i,SV85: $i,SV15: $i] :
( ( ( ~ ( lt @ SV15 @ SV85 )
| ~ ( lt @ SV85 @ SV136 ) )
= $true )
| ( ( lt @ SV15 @ SV136 )
= $true )
| ( ( ssItem @ SV136 )
= $false )
| ( ( ssItem @ SV85 )
= $false )
| ( ( ssItem @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1131,plain,
! [SV137: $i,SV86: $i,SV17: $i] :
( ( ( ~ ( frontsegP @ SV17 @ SV86 )
| ~ ( frontsegP @ SV86 @ SV137 ) )
= $true )
| ( ( frontsegP @ SV17 @ SV137 )
= $true )
| ( ( ssList @ SV137 )
= $false )
| ( ( ssList @ SV86 )
= $false )
| ( ( ssList @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1046]) ).
thf(1132,plain,
! [SV18: $i,SV87: $i] :
( ( ( frontsegP @ SV87 @ SV18 )
= $false )
| ( ( frontsegP @ SV18 @ SV87 )
= $false )
| ( ( SV18 = SV87 )
= $true )
| ( ( ssList @ SV87 )
= $false )
| ( ( ssList @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1133,plain,
! [SV138: $i,SV88: $i,SV20: $i] :
( ( ( ~ ( frontsegP @ SV20 @ SV88 ) )
= $true )
| ( ( frontsegP @ ( app @ SV20 @ SV138 ) @ SV88 )
= $true )
| ( ( ssList @ SV138 )
= $false )
| ( ( ssList @ SV88 )
= $false )
| ( ( ssList @ SV20 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1134,plain,
! [SV139: $i,SV89: $i,SV22: $i] :
( ( ( ~ ( rearsegP @ SV22 @ SV89 )
| ~ ( rearsegP @ SV89 @ SV139 ) )
= $true )
| ( ( rearsegP @ SV22 @ SV139 )
= $true )
| ( ( ssList @ SV139 )
= $false )
| ( ( ssList @ SV89 )
= $false )
| ( ( ssList @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1135,plain,
! [SV23: $i,SV90: $i] :
( ( ( rearsegP @ SV90 @ SV23 )
= $false )
| ( ( rearsegP @ SV23 @ SV90 )
= $false )
| ( ( SV23 = SV90 )
= $true )
| ( ( ssList @ SV90 )
= $false )
| ( ( ssList @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1136,plain,
! [SV140: $i,SV91: $i,SV25: $i] :
( ( ( ~ ( rearsegP @ SV25 @ SV91 ) )
= $true )
| ( ( rearsegP @ ( app @ SV140 @ SV25 ) @ SV91 )
= $true )
| ( ( ssList @ SV140 )
= $false )
| ( ( ssList @ SV91 )
= $false )
| ( ( ssList @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1137,plain,
! [SV141: $i,SV92: $i,SV27: $i] :
( ( ( ~ ( segmentP @ SV27 @ SV92 )
| ~ ( segmentP @ SV92 @ SV141 ) )
= $true )
| ( ( segmentP @ SV27 @ SV141 )
= $true )
| ( ( ssList @ SV141 )
= $false )
| ( ( ssList @ SV92 )
= $false )
| ( ( ssList @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1138,plain,
! [SV28: $i,SV93: $i] :
( ( ( segmentP @ SV93 @ SV28 )
= $false )
| ( ( segmentP @ SV28 @ SV93 )
= $false )
| ( ( SV28 = SV93 )
= $true )
| ( ( ssList @ SV93 )
= $false )
| ( ( ssList @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1139,plain,
! [SV142: $i,SV94: $i,SV30: $i,SV177: $i] :
( ( ( ~ ( ssList @ SV177 )
| ~ ( segmentP @ SV30 @ SV94 )
| ( segmentP @ ( app @ ( app @ SV142 @ SV30 ) @ SV177 ) @ SV94 ) )
= $true )
| ( ( ssList @ SV142 )
= $false )
| ( ( ssList @ SV94 )
= $false )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1054]) ).
thf(1140,plain,
! [SV39: $i,SV95: $i] :
( ( ( nil = SV95 )
= $true )
| ( ( nil = SV39 )
= $true )
| ( ( ( ( hd @ SV95 )
!= ( hd @ SV39 ) ) )
= $true )
| ( ( ( ( tl @ SV95 )
!= ( tl @ SV39 ) ) )
= $true )
| ( ( SV95 = SV39 )
= $true )
| ( ( ssList @ SV95 )
= $false )
| ( ( ssList @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1141,plain,
! [SV41: $i,SV96: $i,SV143: $i] :
( ( ( ( ( app @ SV143 @ SV96 )
!= ( app @ SV41 @ SV96 ) ) )
= $true )
| ( ( SV143 = SV41 )
= $true )
| ( ( ssList @ SV143 )
= $false )
| ( ( ssList @ SV96 )
= $false )
| ( ( ssList @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1142,plain,
! [SV42: $i,SV144: $i,SV97: $i] :
( ( ( ( ( app @ SV97 @ SV144 )
!= ( app @ SV97 @ SV42 ) ) )
= $true )
| ( ( SV144 = SV42 )
= $true )
| ( ( ssList @ SV144 )
= $false )
| ( ( ssList @ SV97 )
= $false )
| ( ( ssList @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1143,plain,
! [SV48: $i,SV102: $i] :
( ( ( geq @ SV102 @ SV48 )
= $false )
| ( ( geq @ SV48 @ SV102 )
= $false )
| ( ( SV48 = SV102 )
= $true )
| ( ( ssItem @ SV102 )
= $false )
| ( ( ssItem @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1144,plain,
! [SV146: $i,SV103: $i,SV49: $i] :
( ( ( ~ ( geq @ SV49 @ SV103 )
| ~ ( geq @ SV103 @ SV146 ) )
= $true )
| ( ( geq @ SV49 @ SV146 )
= $true )
| ( ( ssItem @ SV146 )
= $false )
| ( ( ssItem @ SV103 )
= $false )
| ( ( ssItem @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1060]) ).
thf(1145,plain,
! [SV147: $i,SV104: $i,SV52: $i] :
( ( ( ~ ( leq @ SV52 @ SV104 )
| ~ ( lt @ SV104 @ SV147 ) )
= $true )
| ( ( lt @ SV52 @ SV147 )
= $true )
| ( ( ssItem @ SV147 )
= $false )
| ( ( ssItem @ SV104 )
= $false )
| ( ( ssItem @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1146,plain,
! [SV148: $i,SV107: $i,SV55: $i] :
( ( ( ~ ( gt @ SV55 @ SV107 )
| ~ ( gt @ SV107 @ SV148 ) )
= $true )
| ( ( gt @ SV55 @ SV148 )
= $true )
| ( ( ssItem @ SV148 )
= $false )
| ( ( ssItem @ SV107 )
= $false )
| ( ( ssItem @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1064]) ).
thf(1147,plain,
! [SV149: $i,SV108: $i,SV57: $i] :
( ( ( ~ ! [SY808: $i] :
( ~ ( ssList @ SY808 )
| ( SV57 != SV108 )
| ~ ( frontsegP @ SV149 @ SY808 )
| ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY808 ) ) )
| ~ ~ ( ~ ! [SY809: $i] :
( ~ ( ssList @ SY809 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY809 ) )
| ( SV57 = SV108 ) )
| ~ ! [SY810: $i] :
( ~ ( ssList @ SY810 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY810 ) )
| ( frontsegP @ SV149 @ SY810 ) ) ) )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1148,plain,
! [SV109: $i] :
( ( ( ssItem @ ( sK28_V @ SV109 ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1149,plain,
! [SV109: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) ) ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1150,plain,
! [SV110: $i,SV170: $i] :
( ( ( ~ ( ssItem @ SV170 ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( ssItem @ SY819 )
| ! [SY820: $i] :
( ~ ( ssList @ SY820 )
| ! [SY821: $i] :
( ~ ( ssList @ SY821 )
| ! [SY822: $i] :
( ~ ( ssList @ SY822 )
| ( ( app @ ( app @ SY820 @ ( cons @ SV170 @ SY821 ) ) @ ( cons @ SY819 @ SY822 ) )
!= SV110 )
| ( lt @ SV170 @ SY819 )
| ( lt @ SY819 @ SV170 ) ) ) ) ) )
= $true )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1151,plain,
! [SV58: $i,SV150: $i] :
( ( ( ! [SY811: $i] :
( ! [SY812: $i] :
( ( ( app @ SY811 @ ( cons @ SV150 @ SY812 ) )
!= SV58 )
| ~ ( ssList @ SY812 ) )
| ~ ( ssList @ SY811 ) ) )
= $true )
| ( ( memberP @ SV58 @ SV150 )
= $true )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1069]) ).
thf(1152,plain,
! [SV151: $i,SV58: $i] :
( ( ( ~ ( memberP @ SV58 @ SV151 ) )
= $true )
| ( ( ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SV151 @ SV58 ) ) ) )
= $true )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1153,plain,
! [SV59: $i] :
( ( ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) )
| ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1154,plain,
! [SV59: $i,SV178: $i] :
( ( ( ~ ( ssList @ SV178 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SV178 ) )
| ( leq @ SV59 @ ( hd @ SV178 ) )
| ( nil = SV178 ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1155,plain,
! [SV59: $i,SV179: $i] :
( ( ( ~ ( ssList @ SV179 )
| ( nil = SV179 )
| ~ ( totalorderedP @ SV179 )
| ~ ( leq @ SV59 @ ( hd @ SV179 ) )
| ( totalorderedP @ ( cons @ SV59 @ SV179 ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1156,plain,
! [SV59: $i,SV180: $i] :
( ( ( ~ ( ssList @ SV180 )
| ( nil != SV180 )
| ( totalorderedP @ ( cons @ SV59 @ SV180 ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1157,plain,
! [SV152: $i,SV60: $i] :
( ( ( ~ ( gt @ SV60 @ SV152 ) )
= $true )
| ( ( lt @ SV152 @ SV60 )
= $true )
| ( ( ssItem @ SV152 )
= $false )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1075]) ).
thf(1158,plain,
! [SV60: $i,SV153: $i] :
( ( ( ~ ( lt @ SV153 @ SV60 ) )
= $true )
| ( ( gt @ SV60 @ SV153 )
= $true )
| ( ( ssItem @ SV153 )
= $false )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1076]) ).
thf(1159,plain,
! [SV61: $i,SV154: $i] :
( ( ( ! [SY813: $i] :
( ( ( app @ SV154 @ SY813 )
!= SV61 )
| ~ ( ssList @ SY813 ) ) )
= $true )
| ( ( frontsegP @ SV61 @ SV154 )
= $true )
| ( ( ssList @ SV154 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1077]) ).
thf(1160,plain,
! [SV155: $i,SV61: $i] :
( ( ( ~ ( frontsegP @ SV61 @ SV155 ) )
= $true )
| ( ( ~ ( ( ( app @ SV155 @ ( sK46_W @ SV155 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SV155 @ SV61 ) ) ) )
= $true )
| ( ( ssList @ SV155 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1078]) ).
thf(1161,plain,
! [SV156: $i,SV62: $i] :
( ( ( ~ ( geq @ SV62 @ SV156 ) )
= $true )
| ( ( leq @ SV156 @ SV62 )
= $true )
| ( ( ssItem @ SV156 )
= $false )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1162,plain,
! [SV62: $i,SV157: $i] :
( ( ( ~ ( leq @ SV157 @ SV62 ) )
= $true )
| ( ( geq @ SV62 @ SV157 )
= $true )
| ( ( ssItem @ SV157 )
= $false )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1163,plain,
! [SV111: $i] :
( ( ( ssItem @ ( sK9_V @ SV111 ) )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1164,plain,
! [SV111: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK10_SY570 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) ) ) )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1165,plain,
! [SV112: $i,SV171: $i] :
( ( ( ~ ( ssItem @ SV171 ) )
= $true )
| ( ( ! [SY823: $i] :
( ~ ( ssItem @ SY823 )
| ! [SY824: $i] :
( ~ ( ssList @ SY824 )
| ! [SY825: $i] :
( ~ ( ssList @ SY825 )
| ( ( app @ SY824 @ ( cons @ SV171 @ ( cons @ SY823 @ SY825 ) ) )
!= SV112 )
| ( SV171 = SY823 ) ) ) ) )
= $true )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1166,plain,
! [SV113: $i] :
( ( ( ssItem @ ( sK33_V @ SV113 ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1167,plain,
! [SV113: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) ) ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1168,plain,
! [SV114: $i,SV172: $i] :
( ( ( ~ ( ssItem @ SV172 ) )
= $true )
| ( ( ! [SY826: $i] :
( ~ ( ssItem @ SY826 )
| ! [SY827: $i] :
( ~ ( ssList @ SY827 )
| ! [SY828: $i] :
( ~ ( ssList @ SY828 )
| ! [SY829: $i] :
( ~ ( ssList @ SY829 )
| ( ( app @ ( app @ SY827 @ ( cons @ SV172 @ SY828 ) ) @ ( cons @ SY826 @ SY829 ) )
!= SV114 )
| ( leq @ SV172 @ SY826 )
| ( leq @ SY826 @ SV172 ) ) ) ) ) )
= $true )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1169,plain,
! [SV158: $i,SV63: $i] :
( ( ( SV63 = SV158 )
= $true )
| ( ( neq @ SV63 @ SV158 )
= $true )
| ( ( ssList @ SV158 )
= $false )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1087]) ).
thf(1170,plain,
! [SV159: $i,SV63: $i] :
( ( ( ~ ( neq @ SV63 @ SV159 ) )
= $true )
| ( ( ( SV63 != SV159 ) )
= $true )
| ( ( ssList @ SV159 )
= $false )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1171,plain,
! [SV115: $i] :
( ( ( ssItem @ ( sK13_V @ SV115 ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1089]) ).
thf(1172,plain,
! [SV115: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK14_SY576 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) ) ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1090]) ).
thf(1173,plain,
! [SV116: $i,SV173: $i] :
( ( ( ~ ( ssItem @ SV173 ) )
= $true )
| ( ( ! [SY830: $i] :
( ~ ( ssItem @ SY830 )
| ! [SY831: $i] :
( ~ ( ssList @ SY831 )
| ! [SY832: $i] :
( ~ ( ssList @ SY832 )
| ! [SY833: $i] :
( ~ ( ssList @ SY833 )
| ( ( app @ ( app @ SY831 @ ( cons @ SV173 @ SY832 ) ) @ ( cons @ SY830 @ SY833 ) )
!= SV116 )
| ( SV173 != SY830 ) ) ) ) ) )
= $true )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1091]) ).
thf(1174,plain,
! [SV117: $i] :
( ( ( ssItem @ ( sK18_V @ SV117 ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1175,plain,
! [SV117: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK19_SY586 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) ) ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1176,plain,
! [SV118: $i,SV174: $i] :
( ( ( ~ ( ssItem @ SV174 ) )
= $true )
| ( ( ! [SY834: $i] :
( ~ ( ssItem @ SY834 )
| ! [SY835: $i] :
( ~ ( ssList @ SY835 )
| ! [SY836: $i] :
( ~ ( ssList @ SY836 )
| ! [SY837: $i] :
( ~ ( ssList @ SY837 )
| ( ( app @ ( app @ SY835 @ ( cons @ SV174 @ SY836 ) ) @ ( cons @ SY834 @ SY837 ) )
!= SV118 )
| ( lt @ SV174 @ SY834 ) ) ) ) ) )
= $true )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1094]) ).
thf(1177,plain,
! [SV119: $i,SV64: $i,SV160: $i] :
( ( ( ~ ! [SY814: $i] :
( ~ ( ssItem @ SY814 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY814 @ SV119 ) )
| ( SV160 = SY814 ) )
| ~ ! [SY815: $i] :
( ~ ( ssItem @ SY815 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY815 @ SV119 ) )
| ( SV119 = SV64 ) ) )
= $false )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1178,plain,
! [SV161: $i,SV65: $i] :
( ( ( ( SV65 = SV161 )
| ~ ( leq @ SV65 @ SV161 ) )
= $true )
| ( ( lt @ SV65 @ SV161 )
= $true )
| ( ( ssItem @ SV161 )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1179,plain,
! [SV65: $i,SV181: $i] :
( ( ( ~ ( ssItem @ SV181 )
| ~ ( lt @ SV65 @ SV181 )
| ( SV65 != SV181 ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1180,plain,
! [SV65: $i,SV182: $i] :
( ( ( ~ ( ssItem @ SV182 )
| ~ ( lt @ SV65 @ SV182 )
| ( leq @ SV65 @ SV182 ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1181,plain,
! [SV66: $i,SV162: $i] :
( ( ( ! [SY816: $i] :
( ( ( app @ SY816 @ SV162 )
!= SV66 )
| ~ ( ssList @ SY816 ) ) )
= $true )
| ( ( rearsegP @ SV66 @ SV162 )
= $true )
| ( ( ssList @ SV162 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1182,plain,
! [SV163: $i,SV66: $i] :
( ( ( ~ ( rearsegP @ SV66 @ SV163 ) )
= $true )
| ( ( ~ ( ( ( app @ ( sK45_W @ SV163 @ SV66 ) @ SV163 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SV163 @ SV66 ) ) ) )
= $true )
| ( ( ssList @ SV163 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1183,plain,
! [SV67: $i] :
( ( ( ( cons @ ( sK8_SY569 @ SV67 ) @ ( sK7_V @ SV67 ) )
= SV67 )
= $true )
| ( ( nil = SV67 )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1184,plain,
! [SV67: $i] :
( ( ( ssItem @ ( sK8_SY569 @ SV67 ) )
= $true )
| ( ( nil = SV67 )
= $true )
| ( ( ssList @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1185,plain,
! [SV68: $i,SV164: $i] :
( ( ( ( nil != SV164 )
| ( nil != SV68 ) )
= $true )
| ( ( nil
= ( app @ SV68 @ SV164 ) )
= $true )
| ( ( ssList @ SV164 )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1103]) ).
thf(1186,plain,
! [SV68: $i,SV183: $i] :
( ( ( ~ ( ssList @ SV183 )
| ( nil
!= ( app @ SV68 @ SV183 ) )
| ( nil = SV183 ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1187,plain,
! [SV68: $i,SV184: $i] :
( ( ( ~ ( ssList @ SV184 )
| ( nil
!= ( app @ SV68 @ SV184 ) )
| ( nil = SV68 ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1188,plain,
! [SV120: $i,SV169: $i] :
( ( ( ( cons @ SV169 @ nil )
= SV120 )
= $false )
| ( ( ~ ( ssItem @ SV169 ) )
= $true )
| ( ( singletonP @ SV120 )
= $true )
| ( ( ssList @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1189,plain,
! [SV121: $i] :
( ( ( ( ( cons @ ( sK47_V @ SV121 ) @ nil )
!= SV121 ) )
= $false )
| ( ( singletonP @ SV121 )
= $false )
| ( ( ssList @ SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1190,plain,
! [SV121: $i] :
( ( ( ~ ( ssItem @ ( sK47_V @ SV121 ) ) )
= $false )
| ( ( singletonP @ SV121 )
= $false )
| ( ( ssList @ SV121 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1191,plain,
! [SV69: $i,SV122: $i,SV185: $i] :
( ( ( ~ ( ssList @ SV185 )
| ~ ( memberP @ ( cons @ SV122 @ SV185 ) @ SV69 )
| ( SV69 = SV122 )
| ( memberP @ SV185 @ SV69 ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1192,plain,
! [SV122: $i,SV69: $i] :
( ( ( ~ ! [SY792: $i] :
( ~ ( ssList @ SY792 )
| ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SY792 ) @ SV69 ) )
| ~ ! [SY793: $i] :
( ~ ( ssList @ SY793 )
| ~ ( memberP @ SY793 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SY793 ) @ SV69 ) ) )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1193,plain,
! [SV70: $i,SV165: $i] :
( ( ( ! [SY817: $i] :
( ! [SY818: $i] :
( ( ( app @ ( app @ SY817 @ SV165 ) @ SY818 )
!= SV70 )
| ~ ( ssList @ SY818 ) )
| ~ ( ssList @ SY817 ) ) )
= $true )
| ( ( segmentP @ SV70 @ SV165 )
= $true )
| ( ( ssList @ SV165 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1110]) ).
thf(1194,plain,
! [SV166: $i,SV70: $i] :
( ( ( ~ ( segmentP @ SV70 @ SV166 ) )
= $true )
| ( ( ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SV166 @ SV70 ) ) ) )
= $true )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1111]) ).
thf(1195,plain,
! [SV167: $i,SV71: $i] :
( ( ( SV71 = SV167 )
= $true )
| ( ( neq @ SV71 @ SV167 )
= $true )
| ( ( ssItem @ SV167 )
= $false )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1112]) ).
thf(1196,plain,
! [SV168: $i,SV71: $i] :
( ( ( ~ ( neq @ SV71 @ SV168 ) )
= $true )
| ( ( ( SV71 != SV168 ) )
= $true )
| ( ( ssItem @ SV168 )
= $false )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1113]) ).
thf(1197,plain,
! [SV72: $i] :
( ( ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) )
| ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1198,plain,
! [SV72: $i,SV186: $i] :
( ( ( ~ ( ssList @ SV186 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SV186 ) )
| ( lt @ SV72 @ ( hd @ SV186 ) )
| ( nil = SV186 ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1115]) ).
thf(1199,plain,
! [SV72: $i,SV187: $i] :
( ( ( ~ ( ssList @ SV187 )
| ( nil = SV187 )
| ~ ( strictorderedP @ SV187 )
| ~ ( lt @ SV72 @ ( hd @ SV187 ) )
| ( strictorderedP @ ( cons @ SV72 @ SV187 ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1116]) ).
thf(1200,plain,
! [SV72: $i,SV188: $i] :
( ( ( ~ ( ssList @ SV188 )
| ( nil != SV188 )
| ( strictorderedP @ ( cons @ SV72 @ SV188 ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1117]) ).
thf(1201,plain,
! [SV127: $i] :
( ( ( ssItem @ ( sK38_V @ SV127 ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1202,plain,
! [SV127: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK39_SY626 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) ) ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1203,plain,
! [SV128: $i,SV175: $i] :
( ( ( ~ ( ssItem @ SV175 ) )
= $true )
| ( ( ! [SY838: $i] :
( ~ ( ssItem @ SY838 )
| ! [SY839: $i] :
( ~ ( ssList @ SY839 )
| ! [SY840: $i] :
( ~ ( ssList @ SY840 )
| ! [SY841: $i] :
( ~ ( ssList @ SY841 )
| ( ( app @ ( app @ SY839 @ ( cons @ SV175 @ SY840 ) ) @ ( cons @ SY838 @ SY841 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SY838 )
| ~ ( leq @ SY838 @ SV175 ) ) ) ) ) )
= $true )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1204,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
| ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1205,plain,
! [SV73: $i,SV129: $i,SV189: $i] :
( ( ( ~ ( ssList @ SV189 )
| ~ ( memberP @ ( app @ SV129 @ SV189 ) @ SV73 )
| ( memberP @ SV129 @ SV73 )
| ( memberP @ SV189 @ SV73 ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1206,plain,
! [SV73: $i,SV129: $i] :
( ( ( ~ ! [SY800: $i] :
( ~ ( ssList @ SY800 )
| ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY800 ) @ SV73 ) )
| ~ ! [SY801: $i] :
( ~ ( ssList @ SY801 )
| ~ ( memberP @ SY801 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY801 ) @ SV73 ) ) )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1207,plain,
! [SV130: $i] :
( ( ( ssItem @ ( sK23_V @ SV130 ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1125]) ).
thf(1208,plain,
! [SV130: $i] :
( ( ( ~ ( ~ ( ssItem @ ( sK24_SY596 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) ) ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1209,plain,
! [SV131: $i,SV176: $i] :
( ( ( ~ ( ssItem @ SV176 ) )
= $true )
| ( ( ! [SY842: $i] :
( ~ ( ssItem @ SY842 )
| ! [SY843: $i] :
( ~ ( ssList @ SY843 )
| ! [SY844: $i] :
( ~ ( ssList @ SY844 )
| ! [SY845: $i] :
( ~ ( ssList @ SY845 )
| ( ( app @ ( app @ SY843 @ ( cons @ SV176 @ SY844 ) ) @ ( cons @ SY842 @ SY845 ) )
!= SV131 )
| ( leq @ SV176 @ SY842 ) ) ) ) ) )
= $true )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1127]) ).
thf(1210,plain,
! [SV135: $i,SV83: $i,SV12: $i] :
( ( ( ~ ( leq @ SV12 @ SV83 ) )
= $true )
| ( ( ~ ( leq @ SV83 @ SV135 ) )
= $true )
| ( ( leq @ SV12 @ SV135 )
= $true )
| ( ( ssItem @ SV135 )
= $false )
| ( ( ssItem @ SV83 )
= $false )
| ( ( ssItem @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1129]) ).
thf(1211,plain,
! [SV136: $i,SV85: $i,SV15: $i] :
( ( ( ~ ( lt @ SV15 @ SV85 ) )
= $true )
| ( ( ~ ( lt @ SV85 @ SV136 ) )
= $true )
| ( ( lt @ SV15 @ SV136 )
= $true )
| ( ( ssItem @ SV136 )
= $false )
| ( ( ssItem @ SV85 )
= $false )
| ( ( ssItem @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1212,plain,
! [SV137: $i,SV86: $i,SV17: $i] :
( ( ( ~ ( frontsegP @ SV17 @ SV86 ) )
= $true )
| ( ( ~ ( frontsegP @ SV86 @ SV137 ) )
= $true )
| ( ( frontsegP @ SV17 @ SV137 )
= $true )
| ( ( ssList @ SV137 )
= $false )
| ( ( ssList @ SV86 )
= $false )
| ( ( ssList @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1131]) ).
thf(1213,plain,
! [SV138: $i,SV88: $i,SV20: $i] :
( ( ( frontsegP @ SV20 @ SV88 )
= $false )
| ( ( frontsegP @ ( app @ SV20 @ SV138 ) @ SV88 )
= $true )
| ( ( ssList @ SV138 )
= $false )
| ( ( ssList @ SV88 )
= $false )
| ( ( ssList @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1214,plain,
! [SV139: $i,SV89: $i,SV22: $i] :
( ( ( ~ ( rearsegP @ SV22 @ SV89 ) )
= $true )
| ( ( ~ ( rearsegP @ SV89 @ SV139 ) )
= $true )
| ( ( rearsegP @ SV22 @ SV139 )
= $true )
| ( ( ssList @ SV139 )
= $false )
| ( ( ssList @ SV89 )
= $false )
| ( ( ssList @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1215,plain,
! [SV140: $i,SV91: $i,SV25: $i] :
( ( ( rearsegP @ SV25 @ SV91 )
= $false )
| ( ( rearsegP @ ( app @ SV140 @ SV25 ) @ SV91 )
= $true )
| ( ( ssList @ SV140 )
= $false )
| ( ( ssList @ SV91 )
= $false )
| ( ( ssList @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1216,plain,
! [SV141: $i,SV92: $i,SV27: $i] :
( ( ( ~ ( segmentP @ SV27 @ SV92 ) )
= $true )
| ( ( ~ ( segmentP @ SV92 @ SV141 ) )
= $true )
| ( ( segmentP @ SV27 @ SV141 )
= $true )
| ( ( ssList @ SV141 )
= $false )
| ( ( ssList @ SV92 )
= $false )
| ( ( ssList @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1217,plain,
! [SV142: $i,SV94: $i,SV30: $i,SV177: $i] :
( ( ( ~ ( ssList @ SV177 ) )
= $true )
| ( ( ~ ( segmentP @ SV30 @ SV94 )
| ( segmentP @ ( app @ ( app @ SV142 @ SV30 ) @ SV177 ) @ SV94 ) )
= $true )
| ( ( ssList @ SV142 )
= $false )
| ( ( ssList @ SV94 )
= $false )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1218,plain,
! [SV39: $i,SV95: $i] :
( ( ( ( hd @ SV95 )
= ( hd @ SV39 ) )
= $false )
| ( ( nil = SV39 )
= $true )
| ( ( nil = SV95 )
= $true )
| ( ( ( ( tl @ SV95 )
!= ( tl @ SV39 ) ) )
= $true )
| ( ( SV95 = SV39 )
= $true )
| ( ( ssList @ SV95 )
= $false )
| ( ( ssList @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1219,plain,
! [SV41: $i,SV96: $i,SV143: $i] :
( ( ( ( app @ SV143 @ SV96 )
= ( app @ SV41 @ SV96 ) )
= $false )
| ( ( SV143 = SV41 )
= $true )
| ( ( ssList @ SV143 )
= $false )
| ( ( ssList @ SV96 )
= $false )
| ( ( ssList @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1220,plain,
! [SV42: $i,SV144: $i,SV97: $i] :
( ( ( ( app @ SV97 @ SV144 )
= ( app @ SV97 @ SV42 ) )
= $false )
| ( ( SV144 = SV42 )
= $true )
| ( ( ssList @ SV144 )
= $false )
| ( ( ssList @ SV97 )
= $false )
| ( ( ssList @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1221,plain,
! [SV146: $i,SV103: $i,SV49: $i] :
( ( ( ~ ( geq @ SV49 @ SV103 ) )
= $true )
| ( ( ~ ( geq @ SV103 @ SV146 ) )
= $true )
| ( ( geq @ SV49 @ SV146 )
= $true )
| ( ( ssItem @ SV146 )
= $false )
| ( ( ssItem @ SV103 )
= $false )
| ( ( ssItem @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1222,plain,
! [SV147: $i,SV104: $i,SV52: $i] :
( ( ( ~ ( leq @ SV52 @ SV104 ) )
= $true )
| ( ( ~ ( lt @ SV104 @ SV147 ) )
= $true )
| ( ( lt @ SV52 @ SV147 )
= $true )
| ( ( ssItem @ SV147 )
= $false )
| ( ( ssItem @ SV104 )
= $false )
| ( ( ssItem @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1145]) ).
thf(1223,plain,
! [SV148: $i,SV107: $i,SV55: $i] :
( ( ( ~ ( gt @ SV55 @ SV107 ) )
= $true )
| ( ( ~ ( gt @ SV107 @ SV148 ) )
= $true )
| ( ( gt @ SV55 @ SV148 )
= $true )
| ( ( ssItem @ SV148 )
= $false )
| ( ( ssItem @ SV107 )
= $false )
| ( ( ssItem @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1146]) ).
thf(1224,plain,
! [SV149: $i,SV108: $i,SV57: $i] :
( ( ( ~ ! [SY808: $i] :
( ~ ( ssList @ SY808 )
| ( SV57 != SV108 )
| ~ ( frontsegP @ SV149 @ SY808 )
| ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY808 ) ) ) )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1225,plain,
! [SV108: $i,SV149: $i,SV57: $i] :
( ( ( ~ ~ ( ~ ! [SY809: $i] :
( ~ ( ssList @ SY809 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY809 ) )
| ( SV57 = SV108 ) )
| ~ ! [SY810: $i] :
( ~ ( ssList @ SY810 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY810 ) )
| ( frontsegP @ SV149 @ SY810 ) ) ) )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1147]) ).
thf(1226,plain,
! [SV109: $i] :
( ( ( ~ ( ssItem @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1227,plain,
! [SV110: $i,SV170: $i] :
( ( ( ssItem @ SV170 )
= $false )
| ( ( ! [SY819: $i] :
( ~ ( ssItem @ SY819 )
| ! [SY820: $i] :
( ~ ( ssList @ SY820 )
| ! [SY821: $i] :
( ~ ( ssList @ SY821 )
| ! [SY822: $i] :
( ~ ( ssList @ SY822 )
| ( ( app @ ( app @ SY820 @ ( cons @ SV170 @ SY821 ) ) @ ( cons @ SY819 @ SY822 ) )
!= SV110 )
| ( lt @ SV170 @ SY819 )
| ( lt @ SY819 @ SV170 ) ) ) ) ) )
= $true )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1228,plain,
! [SV58: $i,SV150: $i,SV190: $i] :
( ( ( ! [SY846: $i] :
( ( ( app @ SV190 @ ( cons @ SV150 @ SY846 ) )
!= SV58 )
| ~ ( ssList @ SY846 ) )
| ~ ( ssList @ SV190 ) )
= $true )
| ( ( memberP @ SV58 @ SV150 )
= $true )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1229,plain,
! [SV151: $i,SV58: $i] :
( ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ~ ( ~ ~ ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SV151 @ SV58 ) ) ) )
= $true )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1230,plain,
! [SV59: $i] :
( ( ( ~ ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1231,plain,
! [SV59: $i] :
( ( ( ~ ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1153]) ).
thf(1232,plain,
! [SV59: $i,SV178: $i] :
( ( ( ~ ( ssList @ SV178 ) )
= $true )
| ( ( ~ ( totalorderedP @ ( cons @ SV59 @ SV178 ) )
| ( leq @ SV59 @ ( hd @ SV178 ) )
| ( nil = SV178 ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1154]) ).
thf(1233,plain,
! [SV59: $i,SV179: $i] :
( ( ( ~ ( ssList @ SV179 ) )
= $true )
| ( ( ( nil = SV179 )
| ~ ( totalorderedP @ SV179 )
| ~ ( leq @ SV59 @ ( hd @ SV179 ) )
| ( totalorderedP @ ( cons @ SV59 @ SV179 ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1155]) ).
thf(1234,plain,
! [SV59: $i,SV180: $i] :
( ( ( ~ ( ssList @ SV180 ) )
= $true )
| ( ( ( nil != SV180 )
| ( totalorderedP @ ( cons @ SV59 @ SV180 ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1235,plain,
! [SV152: $i,SV60: $i] :
( ( ( gt @ SV60 @ SV152 )
= $false )
| ( ( lt @ SV152 @ SV60 )
= $true )
| ( ( ssItem @ SV152 )
= $false )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1236,plain,
! [SV60: $i,SV153: $i] :
( ( ( lt @ SV153 @ SV60 )
= $false )
| ( ( gt @ SV60 @ SV153 )
= $true )
| ( ( ssItem @ SV153 )
= $false )
| ( ( ssItem @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1237,plain,
! [SV61: $i,SV191: $i,SV154: $i] :
( ( ( ( ( app @ SV154 @ SV191 )
!= SV61 )
| ~ ( ssList @ SV191 ) )
= $true )
| ( ( frontsegP @ SV61 @ SV154 )
= $true )
| ( ( ssList @ SV154 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1159]) ).
thf(1238,plain,
! [SV155: $i,SV61: $i] :
( ( ( frontsegP @ SV61 @ SV155 )
= $false )
| ( ( ~ ( ( ( app @ SV155 @ ( sK46_W @ SV155 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SV155 @ SV61 ) ) ) )
= $true )
| ( ( ssList @ SV155 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1239,plain,
! [SV156: $i,SV62: $i] :
( ( ( geq @ SV62 @ SV156 )
= $false )
| ( ( leq @ SV156 @ SV62 )
= $true )
| ( ( ssItem @ SV156 )
= $false )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1240,plain,
! [SV62: $i,SV157: $i] :
( ( ( leq @ SV157 @ SV62 )
= $false )
| ( ( geq @ SV62 @ SV157 )
= $true )
| ( ( ssItem @ SV157 )
= $false )
| ( ( ssItem @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1241,plain,
! [SV111: $i] :
( ( ( ~ ( ssItem @ ( sK10_SY570 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1242,plain,
! [SV112: $i,SV171: $i] :
( ( ( ssItem @ SV171 )
= $false )
| ( ( ! [SY823: $i] :
( ~ ( ssItem @ SY823 )
| ! [SY824: $i] :
( ~ ( ssList @ SY824 )
| ! [SY825: $i] :
( ~ ( ssList @ SY825 )
| ( ( app @ SY824 @ ( cons @ SV171 @ ( cons @ SY823 @ SY825 ) ) )
!= SV112 )
| ( SV171 = SY823 ) ) ) ) )
= $true )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1243,plain,
! [SV113: $i] :
( ( ( ~ ( ssItem @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1244,plain,
! [SV114: $i,SV172: $i] :
( ( ( ssItem @ SV172 )
= $false )
| ( ( ! [SY826: $i] :
( ~ ( ssItem @ SY826 )
| ! [SY827: $i] :
( ~ ( ssList @ SY827 )
| ! [SY828: $i] :
( ~ ( ssList @ SY828 )
| ! [SY829: $i] :
( ~ ( ssList @ SY829 )
| ( ( app @ ( app @ SY827 @ ( cons @ SV172 @ SY828 ) ) @ ( cons @ SY826 @ SY829 ) )
!= SV114 )
| ( leq @ SV172 @ SY826 )
| ( leq @ SY826 @ SV172 ) ) ) ) ) )
= $true )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1245,plain,
! [SV159: $i,SV63: $i] :
( ( ( neq @ SV63 @ SV159 )
= $false )
| ( ( ( SV63 != SV159 ) )
= $true )
| ( ( ssList @ SV159 )
= $false )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1246,plain,
! [SV115: $i] :
( ( ( ~ ( ssItem @ ( sK14_SY576 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1247,plain,
! [SV116: $i,SV173: $i] :
( ( ( ssItem @ SV173 )
= $false )
| ( ( ! [SY830: $i] :
( ~ ( ssItem @ SY830 )
| ! [SY831: $i] :
( ~ ( ssList @ SY831 )
| ! [SY832: $i] :
( ~ ( ssList @ SY832 )
| ! [SY833: $i] :
( ~ ( ssList @ SY833 )
| ( ( app @ ( app @ SY831 @ ( cons @ SV173 @ SY832 ) ) @ ( cons @ SY830 @ SY833 ) )
!= SV116 )
| ( SV173 != SY830 ) ) ) ) ) )
= $true )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1248,plain,
! [SV117: $i] :
( ( ( ~ ( ssItem @ ( sK19_SY586 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1249,plain,
! [SV118: $i,SV174: $i] :
( ( ( ssItem @ SV174 )
= $false )
| ( ( ! [SY834: $i] :
( ~ ( ssItem @ SY834 )
| ! [SY835: $i] :
( ~ ( ssList @ SY835 )
| ! [SY836: $i] :
( ~ ( ssList @ SY836 )
| ! [SY837: $i] :
( ~ ( ssList @ SY837 )
| ( ( app @ ( app @ SY835 @ ( cons @ SV174 @ SY836 ) ) @ ( cons @ SY834 @ SY837 ) )
!= SV118 )
| ( lt @ SV174 @ SY834 ) ) ) ) ) )
= $true )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1250,plain,
! [SV119: $i,SV64: $i,SV160: $i] :
( ( ( ~ ! [SY814: $i] :
( ~ ( ssItem @ SY814 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY814 @ SV119 ) )
| ( SV160 = SY814 ) ) )
= $false )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1251,plain,
! [SV119: $i,SV64: $i,SV160: $i] :
( ( ( ~ ! [SY815: $i] :
( ~ ( ssItem @ SY815 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY815 @ SV119 ) )
| ( SV119 = SV64 ) ) )
= $false )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1177]) ).
thf(1252,plain,
! [SV161: $i,SV65: $i] :
( ( ( SV65 = SV161 )
= $true )
| ( ( ~ ( leq @ SV65 @ SV161 ) )
= $true )
| ( ( lt @ SV65 @ SV161 )
= $true )
| ( ( ssItem @ SV161 )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1178]) ).
thf(1253,plain,
! [SV65: $i,SV181: $i] :
( ( ( ~ ( ssItem @ SV181 ) )
= $true )
| ( ( ~ ( lt @ SV65 @ SV181 )
| ( SV65 != SV181 ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1179]) ).
thf(1254,plain,
! [SV65: $i,SV182: $i] :
( ( ( ~ ( ssItem @ SV182 ) )
= $true )
| ( ( ~ ( lt @ SV65 @ SV182 )
| ( leq @ SV65 @ SV182 ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1255,plain,
! [SV66: $i,SV162: $i,SV192: $i] :
( ( ( ( ( app @ SV192 @ SV162 )
!= SV66 )
| ~ ( ssList @ SV192 ) )
= $true )
| ( ( rearsegP @ SV66 @ SV162 )
= $true )
| ( ( ssList @ SV162 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1256,plain,
! [SV163: $i,SV66: $i] :
( ( ( rearsegP @ SV66 @ SV163 )
= $false )
| ( ( ~ ( ( ( app @ ( sK45_W @ SV163 @ SV66 ) @ SV163 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SV163 @ SV66 ) ) ) )
= $true )
| ( ( ssList @ SV163 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1257,plain,
! [SV68: $i,SV164: $i] :
( ( ( ( nil != SV164 ) )
= $true )
| ( ( ( nil != SV68 ) )
= $true )
| ( ( nil
= ( app @ SV68 @ SV164 ) )
= $true )
| ( ( ssList @ SV164 )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1258,plain,
! [SV68: $i,SV183: $i] :
( ( ( ~ ( ssList @ SV183 ) )
= $true )
| ( ( ( nil
!= ( app @ SV68 @ SV183 ) )
| ( nil = SV183 ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1259,plain,
! [SV68: $i,SV184: $i] :
( ( ( ~ ( ssList @ SV184 ) )
= $true )
| ( ( ( nil
!= ( app @ SV68 @ SV184 ) )
| ( nil = SV68 ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1187]) ).
thf(1260,plain,
! [SV120: $i,SV169: $i] :
( ( ( ssItem @ SV169 )
= $false )
| ( ( ( cons @ SV169 @ nil )
= SV120 )
= $false )
| ( ( singletonP @ SV120 )
= $true )
| ( ( ssList @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1261,plain,
! [SV121: $i] :
( ( ( ( cons @ ( sK47_V @ SV121 ) @ nil )
= SV121 )
= $true )
| ( ( singletonP @ SV121 )
= $false )
| ( ( ssList @ SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1262,plain,
! [SV121: $i] :
( ( ( ssItem @ ( sK47_V @ SV121 ) )
= $true )
| ( ( singletonP @ SV121 )
= $false )
| ( ( ssList @ SV121 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1190]) ).
thf(1263,plain,
! [SV69: $i,SV122: $i,SV185: $i] :
( ( ( ~ ( ssList @ SV185 ) )
= $true )
| ( ( ~ ( memberP @ ( cons @ SV122 @ SV185 ) @ SV69 )
| ( SV69 = SV122 )
| ( memberP @ SV185 @ SV69 ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1264,plain,
! [SV122: $i,SV69: $i] :
( ( ( ~ ! [SY792: $i] :
( ~ ( ssList @ SY792 )
| ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SY792 ) @ SV69 ) ) )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1265,plain,
! [SV122: $i,SV69: $i] :
( ( ( ~ ! [SY793: $i] :
( ~ ( ssList @ SY793 )
| ~ ( memberP @ SY793 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SY793 ) @ SV69 ) ) )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1266,plain,
! [SV70: $i,SV165: $i,SV193: $i] :
( ( ( ! [SY847: $i] :
( ( ( app @ ( app @ SV193 @ SV165 ) @ SY847 )
!= SV70 )
| ~ ( ssList @ SY847 ) )
| ~ ( ssList @ SV193 ) )
= $true )
| ( ( segmentP @ SV70 @ SV165 )
= $true )
| ( ( ssList @ SV165 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1267,plain,
! [SV166: $i,SV70: $i] :
( ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ~ ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SV166 @ SV70 ) ) ) )
= $true )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1268,plain,
! [SV168: $i,SV71: $i] :
( ( ( neq @ SV71 @ SV168 )
= $false )
| ( ( ( SV71 != SV168 ) )
= $true )
| ( ( ssItem @ SV168 )
= $false )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1269,plain,
! [SV72: $i] :
( ( ( ~ ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1270,plain,
! [SV72: $i] :
( ( ( ~ ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1271,plain,
! [SV72: $i,SV186: $i] :
( ( ( ~ ( ssList @ SV186 ) )
= $true )
| ( ( ~ ( strictorderedP @ ( cons @ SV72 @ SV186 ) )
| ( lt @ SV72 @ ( hd @ SV186 ) )
| ( nil = SV186 ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1198]) ).
thf(1272,plain,
! [SV72: $i,SV187: $i] :
( ( ( ~ ( ssList @ SV187 ) )
= $true )
| ( ( ( nil = SV187 )
| ~ ( strictorderedP @ SV187 )
| ~ ( lt @ SV72 @ ( hd @ SV187 ) )
| ( strictorderedP @ ( cons @ SV72 @ SV187 ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1199]) ).
thf(1273,plain,
! [SV72: $i,SV188: $i] :
( ( ( ~ ( ssList @ SV188 ) )
= $true )
| ( ( ( nil != SV188 )
| ( strictorderedP @ ( cons @ SV72 @ SV188 ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1274,plain,
! [SV127: $i] :
( ( ( ~ ( ssItem @ ( sK39_SY626 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1275,plain,
! [SV128: $i,SV175: $i] :
( ( ( ssItem @ SV175 )
= $false )
| ( ( ! [SY838: $i] :
( ~ ( ssItem @ SY838 )
| ! [SY839: $i] :
( ~ ( ssList @ SY839 )
| ! [SY840: $i] :
( ~ ( ssList @ SY840 )
| ! [SY841: $i] :
( ~ ( ssList @ SY841 )
| ( ( app @ ( app @ SY839 @ ( cons @ SV175 @ SY840 ) ) @ ( cons @ SY838 @ SY841 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SY838 )
| ~ ( leq @ SY838 @ SV175 ) ) ) ) ) )
= $true )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1276,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1204]) ).
thf(1277,plain,
( ( ~ ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1204]) ).
thf(1278,plain,
! [SV73: $i,SV129: $i,SV189: $i] :
( ( ( ~ ( ssList @ SV189 ) )
= $true )
| ( ( ~ ( memberP @ ( app @ SV129 @ SV189 ) @ SV73 )
| ( memberP @ SV129 @ SV73 )
| ( memberP @ SV189 @ SV73 ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1205]) ).
thf(1279,plain,
! [SV73: $i,SV129: $i] :
( ( ( ~ ! [SY800: $i] :
( ~ ( ssList @ SY800 )
| ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY800 ) @ SV73 ) ) )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1280,plain,
! [SV129: $i,SV73: $i] :
( ( ( ~ ! [SY801: $i] :
( ~ ( ssList @ SY801 )
| ~ ( memberP @ SY801 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY801 ) @ SV73 ) ) )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1281,plain,
! [SV130: $i] :
( ( ( ~ ( ssItem @ ( sK24_SY596 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1282,plain,
! [SV131: $i,SV176: $i] :
( ( ( ssItem @ SV176 )
= $false )
| ( ( ! [SY842: $i] :
( ~ ( ssItem @ SY842 )
| ! [SY843: $i] :
( ~ ( ssList @ SY843 )
| ! [SY844: $i] :
( ~ ( ssList @ SY844 )
| ! [SY845: $i] :
( ~ ( ssList @ SY845 )
| ( ( app @ ( app @ SY843 @ ( cons @ SV176 @ SY844 ) ) @ ( cons @ SY842 @ SY845 ) )
!= SV131 )
| ( leq @ SV176 @ SY842 ) ) ) ) ) )
= $true )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1283,plain,
! [SV135: $i,SV83: $i,SV12: $i] :
( ( ( leq @ SV12 @ SV83 )
= $false )
| ( ( ~ ( leq @ SV83 @ SV135 ) )
= $true )
| ( ( leq @ SV12 @ SV135 )
= $true )
| ( ( ssItem @ SV135 )
= $false )
| ( ( ssItem @ SV83 )
= $false )
| ( ( ssItem @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1284,plain,
! [SV136: $i,SV85: $i,SV15: $i] :
( ( ( lt @ SV15 @ SV85 )
= $false )
| ( ( ~ ( lt @ SV85 @ SV136 ) )
= $true )
| ( ( lt @ SV15 @ SV136 )
= $true )
| ( ( ssItem @ SV136 )
= $false )
| ( ( ssItem @ SV85 )
= $false )
| ( ( ssItem @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1285,plain,
! [SV137: $i,SV86: $i,SV17: $i] :
( ( ( frontsegP @ SV17 @ SV86 )
= $false )
| ( ( ~ ( frontsegP @ SV86 @ SV137 ) )
= $true )
| ( ( frontsegP @ SV17 @ SV137 )
= $true )
| ( ( ssList @ SV137 )
= $false )
| ( ( ssList @ SV86 )
= $false )
| ( ( ssList @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1286,plain,
! [SV139: $i,SV89: $i,SV22: $i] :
( ( ( rearsegP @ SV22 @ SV89 )
= $false )
| ( ( ~ ( rearsegP @ SV89 @ SV139 ) )
= $true )
| ( ( rearsegP @ SV22 @ SV139 )
= $true )
| ( ( ssList @ SV139 )
= $false )
| ( ( ssList @ SV89 )
= $false )
| ( ( ssList @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1287,plain,
! [SV141: $i,SV92: $i,SV27: $i] :
( ( ( segmentP @ SV27 @ SV92 )
= $false )
| ( ( ~ ( segmentP @ SV92 @ SV141 ) )
= $true )
| ( ( segmentP @ SV27 @ SV141 )
= $true )
| ( ( ssList @ SV141 )
= $false )
| ( ( ssList @ SV92 )
= $false )
| ( ( ssList @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1288,plain,
! [SV142: $i,SV94: $i,SV30: $i,SV177: $i] :
( ( ( ssList @ SV177 )
= $false )
| ( ( ~ ( segmentP @ SV30 @ SV94 )
| ( segmentP @ ( app @ ( app @ SV142 @ SV30 ) @ SV177 ) @ SV94 ) )
= $true )
| ( ( ssList @ SV142 )
= $false )
| ( ( ssList @ SV94 )
= $false )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1289,plain,
! [SV39: $i,SV95: $i] :
( ( ( ( tl @ SV95 )
= ( tl @ SV39 ) )
= $false )
| ( ( nil = SV95 )
= $true )
| ( ( nil = SV39 )
= $true )
| ( ( ( hd @ SV95 )
= ( hd @ SV39 ) )
= $false )
| ( ( SV95 = SV39 )
= $true )
| ( ( ssList @ SV95 )
= $false )
| ( ( ssList @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1218]) ).
thf(1290,plain,
! [SV146: $i,SV103: $i,SV49: $i] :
( ( ( geq @ SV49 @ SV103 )
= $false )
| ( ( ~ ( geq @ SV103 @ SV146 ) )
= $true )
| ( ( geq @ SV49 @ SV146 )
= $true )
| ( ( ssItem @ SV146 )
= $false )
| ( ( ssItem @ SV103 )
= $false )
| ( ( ssItem @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1291,plain,
! [SV147: $i,SV104: $i,SV52: $i] :
( ( ( leq @ SV52 @ SV104 )
= $false )
| ( ( ~ ( lt @ SV104 @ SV147 ) )
= $true )
| ( ( lt @ SV52 @ SV147 )
= $true )
| ( ( ssItem @ SV147 )
= $false )
| ( ( ssItem @ SV104 )
= $false )
| ( ( ssItem @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1292,plain,
! [SV148: $i,SV107: $i,SV55: $i] :
( ( ( gt @ SV55 @ SV107 )
= $false )
| ( ( ~ ( gt @ SV107 @ SV148 ) )
= $true )
| ( ( gt @ SV55 @ SV148 )
= $true )
| ( ( ssItem @ SV148 )
= $false )
| ( ( ssItem @ SV107 )
= $false )
| ( ( ssItem @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1293,plain,
! [SV149: $i,SV108: $i,SV57: $i] :
( ( ( ! [SY808: $i] :
( ~ ( ssList @ SY808 )
| ( SV57 != SV108 )
| ~ ( frontsegP @ SV149 @ SY808 )
| ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY808 ) ) ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1294,plain,
! [SV108: $i,SV149: $i,SV57: $i] :
( ( ( ~ ( ~ ! [SY809: $i] :
( ~ ( ssList @ SY809 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY809 ) )
| ( SV57 = SV108 ) )
| ~ ! [SY810: $i] :
( ~ ( ssList @ SY810 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY810 ) )
| ( frontsegP @ SV149 @ SY810 ) ) ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1225]) ).
thf(1295,plain,
! [SV109: $i] :
( ( ( ~ ( ssItem @ ( sK29_SY606 @ SV109 ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1296,plain,
! [SV109: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1297,plain,
! [SV110: $i,SV170: $i,SV194: $i] :
( ( ( ~ ( ssItem @ SV194 )
| ! [SY848: $i] :
( ~ ( ssList @ SY848 )
| ! [SY849: $i] :
( ~ ( ssList @ SY849 )
| ! [SY850: $i] :
( ~ ( ssList @ SY850 )
| ( ( app @ ( app @ SY848 @ ( cons @ SV170 @ SY849 ) ) @ ( cons @ SV194 @ SY850 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) ) ) ) )
= $true )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1227]) ).
thf(1298,plain,
! [SV58: $i,SV150: $i,SV190: $i] :
( ( ( ! [SY846: $i] :
( ( ( app @ SV190 @ ( cons @ SV150 @ SY846 ) )
!= SV58 )
| ~ ( ssList @ SY846 ) ) )
= $true )
| ( ( ~ ( ssList @ SV190 ) )
= $true )
| ( ( memberP @ SV58 @ SV150 )
= $true )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1228]) ).
thf(1299,plain,
! [SV58: $i,SV151: $i] :
( ( ( ~ ~ ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
| ~ ( ssList @ ( sK48_W @ SV151 @ SV58 ) ) )
= $false )
| ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1300,plain,
! [SV59: $i] :
( ( ( ! [SY697: $i] :
( ~ ( ssList @ SY697 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY697 ) )
| ( nil != SY697 )
| ( nil = SY697 ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1301,plain,
! [SV59: $i] :
( ( ( ! [SY698: $i] :
( ~ ( ssList @ SY698 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SY698 ) )
| ( totalorderedP @ SY698 )
| ( nil = SY698 ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1302,plain,
! [SV59: $i,SV178: $i] :
( ( ( ssList @ SV178 )
= $false )
| ( ( ~ ( totalorderedP @ ( cons @ SV59 @ SV178 ) )
| ( leq @ SV59 @ ( hd @ SV178 ) )
| ( nil = SV178 ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1303,plain,
! [SV59: $i,SV179: $i] :
( ( ( ssList @ SV179 )
= $false )
| ( ( ( nil = SV179 )
| ~ ( totalorderedP @ SV179 )
| ~ ( leq @ SV59 @ ( hd @ SV179 ) )
| ( totalorderedP @ ( cons @ SV59 @ SV179 ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1304,plain,
! [SV59: $i,SV180: $i] :
( ( ( ssList @ SV180 )
= $false )
| ( ( ( nil != SV180 )
| ( totalorderedP @ ( cons @ SV59 @ SV180 ) ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1305,plain,
! [SV61: $i,SV191: $i,SV154: $i] :
( ( ( ( ( app @ SV154 @ SV191 )
!= SV61 ) )
= $true )
| ( ( ~ ( ssList @ SV191 ) )
= $true )
| ( ( frontsegP @ SV61 @ SV154 )
= $true )
| ( ( ssList @ SV154 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1237]) ).
thf(1306,plain,
! [SV61: $i,SV155: $i] :
( ( ( ( ( app @ SV155 @ ( sK46_W @ SV155 @ SV61 ) )
!= SV61 )
| ~ ( ssList @ ( sK46_W @ SV155 @ SV61 ) ) )
= $false )
| ( ( frontsegP @ SV61 @ SV155 )
= $false )
| ( ( ssList @ SV155 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1307,plain,
! [SV111: $i] :
( ( ( ~ ( ssItem @ ( sK10_SY570 @ SV111 ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1241]) ).
thf(1308,plain,
! [SV111: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1241]) ).
thf(1309,plain,
! [SV112: $i,SV171: $i,SV195: $i] :
( ( ( ~ ( ssItem @ SV195 )
| ! [SY851: $i] :
( ~ ( ssList @ SY851 )
| ! [SY852: $i] :
( ~ ( ssList @ SY852 )
| ( ( app @ SY851 @ ( cons @ SV171 @ ( cons @ SV195 @ SY852 ) ) )
!= SV112 )
| ( SV171 = SV195 ) ) ) )
= $true )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1310,plain,
! [SV113: $i] :
( ( ( ~ ( ssItem @ ( sK34_SY616 @ SV113 ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1243]) ).
thf(1311,plain,
! [SV113: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1243]) ).
thf(1312,plain,
! [SV114: $i,SV172: $i,SV196: $i] :
( ( ( ~ ( ssItem @ SV196 )
| ! [SY853: $i] :
( ~ ( ssList @ SY853 )
| ! [SY854: $i] :
( ~ ( ssList @ SY854 )
| ! [SY855: $i] :
( ~ ( ssList @ SY855 )
| ( ( app @ ( app @ SY853 @ ( cons @ SV172 @ SY854 ) ) @ ( cons @ SV196 @ SY855 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) ) ) ) )
= $true )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1313,plain,
! [SV159: $i,SV63: $i] :
( ( ( SV63 = SV159 )
= $false )
| ( ( neq @ SV63 @ SV159 )
= $false )
| ( ( ssList @ SV159 )
= $false )
| ( ( ssList @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1314,plain,
! [SV115: $i] :
( ( ( ~ ( ssItem @ ( sK14_SY576 @ SV115 ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1246]) ).
thf(1315,plain,
! [SV115: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1246]) ).
thf(1316,plain,
! [SV116: $i,SV173: $i,SV197: $i] :
( ( ( ~ ( ssItem @ SV197 )
| ! [SY856: $i] :
( ~ ( ssList @ SY856 )
| ! [SY857: $i] :
( ~ ( ssList @ SY857 )
| ! [SY858: $i] :
( ~ ( ssList @ SY858 )
| ( ( app @ ( app @ SY856 @ ( cons @ SV173 @ SY857 ) ) @ ( cons @ SV197 @ SY858 ) )
!= SV116 )
| ( SV173 != SV197 ) ) ) ) )
= $true )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1317,plain,
! [SV117: $i] :
( ( ( ~ ( ssItem @ ( sK19_SY586 @ SV117 ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1248]) ).
thf(1318,plain,
! [SV117: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1248]) ).
thf(1319,plain,
! [SV118: $i,SV174: $i,SV198: $i] :
( ( ( ~ ( ssItem @ SV198 )
| ! [SY859: $i] :
( ~ ( ssList @ SY859 )
| ! [SY860: $i] :
( ~ ( ssList @ SY860 )
| ! [SY861: $i] :
( ~ ( ssList @ SY861 )
| ( ( app @ ( app @ SY859 @ ( cons @ SV174 @ SY860 ) ) @ ( cons @ SV198 @ SY861 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) ) ) ) )
= $true )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1320,plain,
! [SV119: $i,SV64: $i,SV160: $i] :
( ( ( ! [SY814: $i] :
( ~ ( ssItem @ SY814 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY814 @ SV119 ) )
| ( SV160 = SY814 ) ) )
= $true )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1321,plain,
! [SV119: $i,SV64: $i,SV160: $i] :
( ( ( ! [SY815: $i] :
( ~ ( ssItem @ SY815 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SY815 @ SV119 ) )
| ( SV119 = SV64 ) ) )
= $true )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1322,plain,
! [SV161: $i,SV65: $i] :
( ( ( leq @ SV65 @ SV161 )
= $false )
| ( ( SV65 = SV161 )
= $true )
| ( ( lt @ SV65 @ SV161 )
= $true )
| ( ( ssItem @ SV161 )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1323,plain,
! [SV65: $i,SV181: $i] :
( ( ( ssItem @ SV181 )
= $false )
| ( ( ~ ( lt @ SV65 @ SV181 )
| ( SV65 != SV181 ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1324,plain,
! [SV65: $i,SV182: $i] :
( ( ( ssItem @ SV182 )
= $false )
| ( ( ~ ( lt @ SV65 @ SV182 )
| ( leq @ SV65 @ SV182 ) )
= $true )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1325,plain,
! [SV66: $i,SV162: $i,SV192: $i] :
( ( ( ( ( app @ SV192 @ SV162 )
!= SV66 ) )
= $true )
| ( ( ~ ( ssList @ SV192 ) )
= $true )
| ( ( rearsegP @ SV66 @ SV162 )
= $true )
| ( ( ssList @ SV162 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1255]) ).
thf(1326,plain,
! [SV66: $i,SV163: $i] :
( ( ( ( ( app @ ( sK45_W @ SV163 @ SV66 ) @ SV163 )
!= SV66 )
| ~ ( ssList @ ( sK45_W @ SV163 @ SV66 ) ) )
= $false )
| ( ( rearsegP @ SV66 @ SV163 )
= $false )
| ( ( ssList @ SV163 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1327,plain,
! [SV68: $i,SV164: $i] :
( ( ( nil = SV164 )
= $false )
| ( ( ( nil != SV68 ) )
= $true )
| ( ( nil
= ( app @ SV68 @ SV164 ) )
= $true )
| ( ( ssList @ SV164 )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1328,plain,
! [SV68: $i,SV183: $i] :
( ( ( ssList @ SV183 )
= $false )
| ( ( ( nil
!= ( app @ SV68 @ SV183 ) )
| ( nil = SV183 ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1329,plain,
! [SV68: $i,SV184: $i] :
( ( ( ssList @ SV184 )
= $false )
| ( ( ( nil
!= ( app @ SV68 @ SV184 ) )
| ( nil = SV68 ) )
= $true )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1330,plain,
! [SV69: $i,SV122: $i,SV185: $i] :
( ( ( ssList @ SV185 )
= $false )
| ( ( ~ ( memberP @ ( cons @ SV122 @ SV185 ) @ SV69 )
| ( SV69 = SV122 )
| ( memberP @ SV185 @ SV69 ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1331,plain,
! [SV122: $i,SV69: $i] :
( ( ( ! [SY792: $i] :
( ~ ( ssList @ SY792 )
| ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SY792 ) @ SV69 ) ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1332,plain,
! [SV122: $i,SV69: $i] :
( ( ( ! [SY793: $i] :
( ~ ( ssList @ SY793 )
| ~ ( memberP @ SY793 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SY793 ) @ SV69 ) ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1333,plain,
! [SV70: $i,SV165: $i,SV193: $i] :
( ( ( ! [SY847: $i] :
( ( ( app @ ( app @ SV193 @ SV165 ) @ SY847 )
!= SV70 )
| ~ ( ssList @ SY847 ) ) )
= $true )
| ( ( ~ ( ssList @ SV193 ) )
= $true )
| ( ( segmentP @ SV70 @ SV165 )
= $true )
| ( ( ssList @ SV165 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1266]) ).
thf(1334,plain,
! [SV70: $i,SV166: $i] :
( ( ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) ) )
| ~ ( ssList @ ( sK43_W @ SV166 @ SV70 ) ) )
= $false )
| ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1335,plain,
! [SV168: $i,SV71: $i] :
( ( ( SV71 = SV168 )
= $false )
| ( ( neq @ SV71 @ SV168 )
= $false )
| ( ( ssItem @ SV168 )
= $false )
| ( ( ssItem @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1336,plain,
! [SV72: $i] :
( ( ( ! [SY734: $i] :
( ~ ( ssList @ SY734 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY734 ) )
| ( nil != SY734 )
| ( nil = SY734 ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1269]) ).
thf(1337,plain,
! [SV72: $i] :
( ( ( ! [SY735: $i] :
( ~ ( ssList @ SY735 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SY735 ) )
| ( strictorderedP @ SY735 )
| ( nil = SY735 ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1270]) ).
thf(1338,plain,
! [SV72: $i,SV186: $i] :
( ( ( ssList @ SV186 )
= $false )
| ( ( ~ ( strictorderedP @ ( cons @ SV72 @ SV186 ) )
| ( lt @ SV72 @ ( hd @ SV186 ) )
| ( nil = SV186 ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1339,plain,
! [SV72: $i,SV187: $i] :
( ( ( ssList @ SV187 )
= $false )
| ( ( ( nil = SV187 )
| ~ ( strictorderedP @ SV187 )
| ~ ( lt @ SV72 @ ( hd @ SV187 ) )
| ( strictorderedP @ ( cons @ SV72 @ SV187 ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1340,plain,
! [SV72: $i,SV188: $i] :
( ( ( ssList @ SV188 )
= $false )
| ( ( ( nil != SV188 )
| ( strictorderedP @ ( cons @ SV72 @ SV188 ) ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1341,plain,
! [SV127: $i] :
( ( ( ~ ( ssItem @ ( sK39_SY626 @ SV127 ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1342,plain,
! [SV127: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1274]) ).
thf(1343,plain,
! [SV128: $i,SV175: $i,SV199: $i] :
( ( ( ~ ( ssItem @ SV199 )
| ! [SY862: $i] :
( ~ ( ssList @ SY862 )
| ! [SY863: $i] :
( ~ ( ssList @ SY863 )
| ! [SY864: $i] :
( ~ ( ssList @ SY864 )
| ( ( app @ ( app @ SY862 @ ( cons @ SV175 @ SY863 ) ) @ ( cons @ SV199 @ SY864 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) ) ) ) )
= $true )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1344,plain,
( ( ~ ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1276]) ).
thf(1345,plain,
( ( ~ ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1277]) ).
thf(1346,plain,
! [SV73: $i,SV129: $i,SV189: $i] :
( ( ( ssList @ SV189 )
= $false )
| ( ( ~ ( memberP @ ( app @ SV129 @ SV189 ) @ SV73 )
| ( memberP @ SV129 @ SV73 )
| ( memberP @ SV189 @ SV73 ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1347,plain,
! [SV73: $i,SV129: $i] :
( ( ( ! [SY800: $i] :
( ~ ( ssList @ SY800 )
| ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY800 ) @ SV73 ) ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1279]) ).
thf(1348,plain,
! [SV129: $i,SV73: $i] :
( ( ( ! [SY801: $i] :
( ~ ( ssList @ SY801 )
| ~ ( memberP @ SY801 @ SV73 )
| ( memberP @ ( app @ SV129 @ SY801 ) @ SV73 ) ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1349,plain,
! [SV130: $i] :
( ( ( ~ ( ssItem @ ( sK24_SY596 @ SV130 ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1281]) ).
thf(1350,plain,
! [SV130: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1281]) ).
thf(1351,plain,
! [SV131: $i,SV176: $i,SV200: $i] :
( ( ( ~ ( ssItem @ SV200 )
| ! [SY865: $i] :
( ~ ( ssList @ SY865 )
| ! [SY866: $i] :
( ~ ( ssList @ SY866 )
| ! [SY867: $i] :
( ~ ( ssList @ SY867 )
| ( ( app @ ( app @ SY865 @ ( cons @ SV176 @ SY866 ) ) @ ( cons @ SV200 @ SY867 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) ) ) ) )
= $true )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1352,plain,
! [SV12: $i,SV135: $i,SV83: $i] :
( ( ( leq @ SV83 @ SV135 )
= $false )
| ( ( leq @ SV12 @ SV83 )
= $false )
| ( ( leq @ SV12 @ SV135 )
= $true )
| ( ( ssItem @ SV135 )
= $false )
| ( ( ssItem @ SV83 )
= $false )
| ( ( ssItem @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1353,plain,
! [SV15: $i,SV136: $i,SV85: $i] :
( ( ( lt @ SV85 @ SV136 )
= $false )
| ( ( lt @ SV15 @ SV85 )
= $false )
| ( ( lt @ SV15 @ SV136 )
= $true )
| ( ( ssItem @ SV136 )
= $false )
| ( ( ssItem @ SV85 )
= $false )
| ( ( ssItem @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1354,plain,
! [SV17: $i,SV137: $i,SV86: $i] :
( ( ( frontsegP @ SV86 @ SV137 )
= $false )
| ( ( frontsegP @ SV17 @ SV86 )
= $false )
| ( ( frontsegP @ SV17 @ SV137 )
= $true )
| ( ( ssList @ SV137 )
= $false )
| ( ( ssList @ SV86 )
= $false )
| ( ( ssList @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1355,plain,
! [SV22: $i,SV139: $i,SV89: $i] :
( ( ( rearsegP @ SV89 @ SV139 )
= $false )
| ( ( rearsegP @ SV22 @ SV89 )
= $false )
| ( ( rearsegP @ SV22 @ SV139 )
= $true )
| ( ( ssList @ SV139 )
= $false )
| ( ( ssList @ SV89 )
= $false )
| ( ( ssList @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1356,plain,
! [SV27: $i,SV141: $i,SV92: $i] :
( ( ( segmentP @ SV92 @ SV141 )
= $false )
| ( ( segmentP @ SV27 @ SV92 )
= $false )
| ( ( segmentP @ SV27 @ SV141 )
= $true )
| ( ( ssList @ SV141 )
= $false )
| ( ( ssList @ SV92 )
= $false )
| ( ( ssList @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1357,plain,
! [SV177: $i,SV142: $i,SV94: $i,SV30: $i] :
( ( ( ~ ( segmentP @ SV30 @ SV94 ) )
= $true )
| ( ( segmentP @ ( app @ ( app @ SV142 @ SV30 ) @ SV177 ) @ SV94 )
= $true )
| ( ( ssList @ SV177 )
= $false )
| ( ( ssList @ SV142 )
= $false )
| ( ( ssList @ SV94 )
= $false )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1288]) ).
thf(1358,plain,
! [SV49: $i,SV146: $i,SV103: $i] :
( ( ( geq @ SV103 @ SV146 )
= $false )
| ( ( geq @ SV49 @ SV103 )
= $false )
| ( ( geq @ SV49 @ SV146 )
= $true )
| ( ( ssItem @ SV146 )
= $false )
| ( ( ssItem @ SV103 )
= $false )
| ( ( ssItem @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1290]) ).
thf(1359,plain,
! [SV52: $i,SV147: $i,SV104: $i] :
( ( ( lt @ SV104 @ SV147 )
= $false )
| ( ( leq @ SV52 @ SV104 )
= $false )
| ( ( lt @ SV52 @ SV147 )
= $true )
| ( ( ssItem @ SV147 )
= $false )
| ( ( ssItem @ SV104 )
= $false )
| ( ( ssItem @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1360,plain,
! [SV55: $i,SV148: $i,SV107: $i] :
( ( ( gt @ SV107 @ SV148 )
= $false )
| ( ( gt @ SV55 @ SV107 )
= $false )
| ( ( gt @ SV55 @ SV148 )
= $true )
| ( ( ssItem @ SV148 )
= $false )
| ( ( ssItem @ SV107 )
= $false )
| ( ( ssItem @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1361,plain,
! [SV149: $i,SV108: $i,SV57: $i,SV201: $i] :
( ( ( ~ ( ssList @ SV201 )
| ( SV57 != SV108 )
| ~ ( frontsegP @ SV149 @ SV201 )
| ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV201 ) ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1362,plain,
! [SV108: $i,SV149: $i,SV57: $i] :
( ( ( ~ ! [SY809: $i] :
( ~ ( ssList @ SY809 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY809 ) )
| ( SV57 = SV108 ) )
| ~ ! [SY810: $i] :
( ~ ( ssList @ SY810 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY810 ) )
| ( frontsegP @ SV149 @ SY810 ) ) )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1363,plain,
! [SV109: $i] :
( ( ( ssItem @ ( sK29_SY606 @ SV109 ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1364,plain,
! [SV109: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1365,plain,
! [SV110: $i,SV170: $i,SV194: $i] :
( ( ( ~ ( ssItem @ SV194 ) )
= $true )
| ( ( ! [SY848: $i] :
( ~ ( ssList @ SY848 )
| ! [SY849: $i] :
( ~ ( ssList @ SY849 )
| ! [SY850: $i] :
( ~ ( ssList @ SY850 )
| ( ( app @ ( app @ SY848 @ ( cons @ SV170 @ SY849 ) ) @ ( cons @ SV194 @ SY850 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) ) ) ) )
= $true )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1297]) ).
thf(1366,plain,
! [SV58: $i,SV202: $i,SV150: $i,SV190: $i] :
( ( ( ( ( app @ SV190 @ ( cons @ SV150 @ SV202 ) )
!= SV58 )
| ~ ( ssList @ SV202 ) )
= $true )
| ( ( ~ ( ssList @ SV190 ) )
= $true )
| ( ( memberP @ SV58 @ SV150 )
= $true )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1367,plain,
! [SV58: $i,SV151: $i] :
( ( ( ~ ~ ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) ) ) )
= $false )
| ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1299]) ).
thf(1368,plain,
! [SV58: $i,SV151: $i] :
( ( ( ~ ( ssList @ ( sK48_W @ SV151 @ SV58 ) ) )
= $false )
| ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1299]) ).
thf(1369,plain,
! [SV59: $i,SV203: $i] :
( ( ( ~ ( ssList @ SV203 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SV203 ) )
| ( nil != SV203 )
| ( nil = SV203 ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1300]) ).
thf(1370,plain,
! [SV59: $i,SV204: $i] :
( ( ( ~ ( ssList @ SV204 )
| ~ ( totalorderedP @ ( cons @ SV59 @ SV204 ) )
| ( totalorderedP @ SV204 )
| ( nil = SV204 ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1301]) ).
thf(1371,plain,
! [SV178: $i,SV59: $i] :
( ( ( ~ ( totalorderedP @ ( cons @ SV59 @ SV178 ) ) )
= $true )
| ( ( ( leq @ SV59 @ ( hd @ SV178 ) )
| ( nil = SV178 ) )
= $true )
| ( ( ssList @ SV178 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1302]) ).
thf(1372,plain,
! [SV59: $i,SV179: $i] :
( ( ( ( nil = SV179 )
| ~ ( totalorderedP @ SV179 )
| ~ ( leq @ SV59 @ ( hd @ SV179 ) ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV59 @ SV179 ) )
= $true )
| ( ( ssList @ SV179 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1303]) ).
thf(1373,plain,
! [SV59: $i,SV180: $i] :
( ( ( ( nil != SV180 ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV59 @ SV180 ) )
= $true )
| ( ( ssList @ SV180 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1304]) ).
thf(1374,plain,
! [SV61: $i,SV191: $i,SV154: $i] :
( ( ( ( app @ SV154 @ SV191 )
= SV61 )
= $false )
| ( ( ~ ( ssList @ SV191 ) )
= $true )
| ( ( frontsegP @ SV61 @ SV154 )
= $true )
| ( ( ssList @ SV154 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1375,plain,
! [SV61: $i,SV155: $i] :
( ( ( ( ( app @ SV155 @ ( sK46_W @ SV155 @ SV61 ) )
!= SV61 ) )
= $false )
| ( ( frontsegP @ SV61 @ SV155 )
= $false )
| ( ( ssList @ SV155 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1376,plain,
! [SV61: $i,SV155: $i] :
( ( ( ~ ( ssList @ ( sK46_W @ SV155 @ SV61 ) ) )
= $false )
| ( ( frontsegP @ SV61 @ SV155 )
= $false )
| ( ( ssList @ SV155 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1306]) ).
thf(1377,plain,
! [SV111: $i] :
( ( ( ssItem @ ( sK10_SY570 @ SV111 ) )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1307]) ).
thf(1378,plain,
! [SV111: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) ) )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1308]) ).
thf(1379,plain,
! [SV112: $i,SV171: $i,SV195: $i] :
( ( ( ~ ( ssItem @ SV195 ) )
= $true )
| ( ( ! [SY851: $i] :
( ~ ( ssList @ SY851 )
| ! [SY852: $i] :
( ~ ( ssList @ SY852 )
| ( ( app @ SY851 @ ( cons @ SV171 @ ( cons @ SV195 @ SY852 ) ) )
!= SV112 )
| ( SV171 = SV195 ) ) ) )
= $true )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1309]) ).
thf(1380,plain,
! [SV113: $i] :
( ( ( ssItem @ ( sK34_SY616 @ SV113 ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1310]) ).
thf(1381,plain,
! [SV113: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1382,plain,
! [SV114: $i,SV172: $i,SV196: $i] :
( ( ( ~ ( ssItem @ SV196 ) )
= $true )
| ( ( ! [SY853: $i] :
( ~ ( ssList @ SY853 )
| ! [SY854: $i] :
( ~ ( ssList @ SY854 )
| ! [SY855: $i] :
( ~ ( ssList @ SY855 )
| ( ( app @ ( app @ SY853 @ ( cons @ SV172 @ SY854 ) ) @ ( cons @ SV196 @ SY855 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) ) ) ) )
= $true )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1312]) ).
thf(1383,plain,
! [SV115: $i] :
( ( ( ssItem @ ( sK14_SY576 @ SV115 ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1314]) ).
thf(1384,plain,
! [SV115: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1385,plain,
! [SV116: $i,SV173: $i,SV197: $i] :
( ( ( ~ ( ssItem @ SV197 ) )
= $true )
| ( ( ! [SY856: $i] :
( ~ ( ssList @ SY856 )
| ! [SY857: $i] :
( ~ ( ssList @ SY857 )
| ! [SY858: $i] :
( ~ ( ssList @ SY858 )
| ( ( app @ ( app @ SY856 @ ( cons @ SV173 @ SY857 ) ) @ ( cons @ SV197 @ SY858 ) )
!= SV116 )
| ( SV173 != SV197 ) ) ) ) )
= $true )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1316]) ).
thf(1386,plain,
! [SV117: $i] :
( ( ( ssItem @ ( sK19_SY586 @ SV117 ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1387,plain,
! [SV117: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1388,plain,
! [SV118: $i,SV174: $i,SV198: $i] :
( ( ( ~ ( ssItem @ SV198 ) )
= $true )
| ( ( ! [SY859: $i] :
( ~ ( ssList @ SY859 )
| ! [SY860: $i] :
( ~ ( ssList @ SY860 )
| ! [SY861: $i] :
( ~ ( ssList @ SY861 )
| ( ( app @ ( app @ SY859 @ ( cons @ SV174 @ SY860 ) ) @ ( cons @ SV198 @ SY861 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) ) ) ) )
= $true )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1319]) ).
thf(1389,plain,
! [SV119: $i,SV64: $i,SV160: $i,SV205: $i] :
( ( ( ~ ( ssItem @ SV205 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SV205 @ SV119 ) )
| ( SV160 = SV205 ) )
= $true )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1390,plain,
! [SV119: $i,SV64: $i,SV160: $i,SV206: $i] :
( ( ( ~ ( ssItem @ SV206 )
| ( ( cons @ SV160 @ SV64 )
!= ( cons @ SV206 @ SV119 ) )
| ( SV119 = SV64 ) )
= $true )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1391,plain,
! [SV181: $i,SV65: $i] :
( ( ( ~ ( lt @ SV65 @ SV181 ) )
= $true )
| ( ( ( SV65 != SV181 ) )
= $true )
| ( ( ssItem @ SV181 )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1323]) ).
thf(1392,plain,
! [SV182: $i,SV65: $i] :
( ( ( ~ ( lt @ SV65 @ SV182 ) )
= $true )
| ( ( leq @ SV65 @ SV182 )
= $true )
| ( ( ssItem @ SV182 )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1324]) ).
thf(1393,plain,
! [SV66: $i,SV162: $i,SV192: $i] :
( ( ( ( app @ SV192 @ SV162 )
= SV66 )
= $false )
| ( ( ~ ( ssList @ SV192 ) )
= $true )
| ( ( rearsegP @ SV66 @ SV162 )
= $true )
| ( ( ssList @ SV162 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1394,plain,
! [SV66: $i,SV163: $i] :
( ( ( ( ( app @ ( sK45_W @ SV163 @ SV66 ) @ SV163 )
!= SV66 ) )
= $false )
| ( ( rearsegP @ SV66 @ SV163 )
= $false )
| ( ( ssList @ SV163 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1326]) ).
thf(1395,plain,
! [SV66: $i,SV163: $i] :
( ( ( ~ ( ssList @ ( sK45_W @ SV163 @ SV66 ) ) )
= $false )
| ( ( rearsegP @ SV66 @ SV163 )
= $false )
| ( ( ssList @ SV163 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1326]) ).
thf(1396,plain,
! [SV164: $i,SV68: $i] :
( ( ( nil = SV68 )
= $false )
| ( ( nil = SV164 )
= $false )
| ( ( nil
= ( app @ SV68 @ SV164 ) )
= $true )
| ( ( ssList @ SV164 )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1397,plain,
! [SV183: $i,SV68: $i] :
( ( ( ( nil
!= ( app @ SV68 @ SV183 ) ) )
= $true )
| ( ( nil = SV183 )
= $true )
| ( ( ssList @ SV183 )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1328]) ).
thf(1398,plain,
! [SV184: $i,SV68: $i] :
( ( ( ( nil
!= ( app @ SV68 @ SV184 ) ) )
= $true )
| ( ( nil = SV68 )
= $true )
| ( ( ssList @ SV184 )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1329]) ).
thf(1399,plain,
! [SV69: $i,SV185: $i,SV122: $i] :
( ( ( ~ ( memberP @ ( cons @ SV122 @ SV185 ) @ SV69 ) )
= $true )
| ( ( ( SV69 = SV122 )
| ( memberP @ SV185 @ SV69 ) )
= $true )
| ( ( ssList @ SV185 )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1330]) ).
thf(1400,plain,
! [SV122: $i,SV69: $i,SV207: $i] :
( ( ( ~ ( ssList @ SV207 )
| ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SV207 ) @ SV69 ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1401,plain,
! [SV122: $i,SV69: $i,SV208: $i] :
( ( ( ~ ( ssList @ SV208 )
| ~ ( memberP @ SV208 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SV208 ) @ SV69 ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1402,plain,
! [SV70: $i,SV209: $i,SV165: $i,SV193: $i] :
( ( ( ( ( app @ ( app @ SV193 @ SV165 ) @ SV209 )
!= SV70 )
| ~ ( ssList @ SV209 ) )
= $true )
| ( ( ~ ( ssList @ SV193 ) )
= $true )
| ( ( segmentP @ SV70 @ SV165 )
= $true )
| ( ( ssList @ SV165 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1403,plain,
! [SV70: $i,SV166: $i] :
( ( ( ~ ~ ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) ) ) )
= $false )
| ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1404,plain,
! [SV70: $i,SV166: $i] :
( ( ( ~ ( ssList @ ( sK43_W @ SV166 @ SV70 ) ) )
= $false )
| ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1405,plain,
! [SV72: $i,SV210: $i] :
( ( ( ~ ( ssList @ SV210 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SV210 ) )
| ( nil != SV210 )
| ( nil = SV210 ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1406,plain,
! [SV72: $i,SV211: $i] :
( ( ( ~ ( ssList @ SV211 )
| ~ ( strictorderedP @ ( cons @ SV72 @ SV211 ) )
| ( strictorderedP @ SV211 )
| ( nil = SV211 ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1407,plain,
! [SV186: $i,SV72: $i] :
( ( ( ~ ( strictorderedP @ ( cons @ SV72 @ SV186 ) ) )
= $true )
| ( ( ( lt @ SV72 @ ( hd @ SV186 ) )
| ( nil = SV186 ) )
= $true )
| ( ( ssList @ SV186 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1338]) ).
thf(1408,plain,
! [SV72: $i,SV187: $i] :
( ( ( ( nil = SV187 )
| ~ ( strictorderedP @ SV187 )
| ~ ( lt @ SV72 @ ( hd @ SV187 ) ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV72 @ SV187 ) )
= $true )
| ( ( ssList @ SV187 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1339]) ).
thf(1409,plain,
! [SV72: $i,SV188: $i] :
( ( ( ( nil != SV188 ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV72 @ SV188 ) )
= $true )
| ( ( ssList @ SV188 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1410,plain,
! [SV127: $i] :
( ( ( ssItem @ ( sK39_SY626 @ SV127 ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1341]) ).
thf(1411,plain,
! [SV127: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1342]) ).
thf(1412,plain,
! [SV128: $i,SV175: $i,SV199: $i] :
( ( ( ~ ( ssItem @ SV199 ) )
= $true )
| ( ( ! [SY862: $i] :
( ~ ( ssList @ SY862 )
| ! [SY863: $i] :
( ~ ( ssList @ SY863 )
| ! [SY864: $i] :
( ~ ( ssList @ SY864 )
| ( ( app @ ( app @ SY862 @ ( cons @ SV175 @ SY863 ) ) @ ( cons @ SV199 @ SY864 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) ) ) ) )
= $true )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1343]) ).
thf(1413,plain,
( ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1414,plain,
( ( ( sK2_SY549 != sK4_SY560 )
| ( sK1_U != sK3_SY554 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1415,plain,
! [SV73: $i,SV189: $i,SV129: $i] :
( ( ( ~ ( memberP @ ( app @ SV129 @ SV189 ) @ SV73 ) )
= $true )
| ( ( ( memberP @ SV129 @ SV73 )
| ( memberP @ SV189 @ SV73 ) )
= $true )
| ( ( ssList @ SV189 )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1346]) ).
thf(1416,plain,
! [SV73: $i,SV129: $i,SV212: $i] :
( ( ( ~ ( ssList @ SV212 )
| ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SV212 ) @ SV73 ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1417,plain,
! [SV129: $i,SV73: $i,SV213: $i] :
( ( ( ~ ( ssList @ SV213 )
| ~ ( memberP @ SV213 @ SV73 )
| ( memberP @ ( app @ SV129 @ SV213 ) @ SV73 ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1418,plain,
! [SV130: $i] :
( ( ( ssItem @ ( sK24_SY596 @ SV130 ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1349]) ).
thf(1419,plain,
! [SV130: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1350]) ).
thf(1420,plain,
! [SV131: $i,SV176: $i,SV200: $i] :
( ( ( ~ ( ssItem @ SV200 ) )
= $true )
| ( ( ! [SY865: $i] :
( ~ ( ssList @ SY865 )
| ! [SY866: $i] :
( ~ ( ssList @ SY866 )
| ! [SY867: $i] :
( ~ ( ssList @ SY867 )
| ( ( app @ ( app @ SY865 @ ( cons @ SV176 @ SY866 ) ) @ ( cons @ SV200 @ SY867 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) ) ) ) )
= $true )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1351]) ).
thf(1421,plain,
! [SV177: $i,SV142: $i,SV94: $i,SV30: $i] :
( ( ( segmentP @ SV30 @ SV94 )
= $false )
| ( ( segmentP @ ( app @ ( app @ SV142 @ SV30 ) @ SV177 ) @ SV94 )
= $true )
| ( ( ssList @ SV177 )
= $false )
| ( ( ssList @ SV142 )
= $false )
| ( ( ssList @ SV94 )
= $false )
| ( ( ssList @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1422,plain,
! [SV149: $i,SV108: $i,SV57: $i,SV201: $i] :
( ( ( ~ ( ssList @ SV201 ) )
= $true )
| ( ( ( SV57 != SV108 )
| ~ ( frontsegP @ SV149 @ SV201 )
| ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV201 ) ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1361]) ).
thf(1423,plain,
! [SV108: $i,SV149: $i,SV57: $i] :
( ( ( ~ ! [SY809: $i] :
( ~ ( ssList @ SY809 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY809 ) )
| ( SV57 = SV108 ) ) )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1424,plain,
! [SV108: $i,SV149: $i,SV57: $i] :
( ( ( ~ ! [SY810: $i] :
( ~ ( ssList @ SY810 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY810 ) )
| ( frontsegP @ SV149 @ SY810 ) ) )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1425,plain,
! [SV109: $i] :
( ( ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1426,plain,
! [SV110: $i,SV170: $i,SV194: $i] :
( ( ( ssItem @ SV194 )
= $false )
| ( ( ! [SY848: $i] :
( ~ ( ssList @ SY848 )
| ! [SY849: $i] :
( ~ ( ssList @ SY849 )
| ! [SY850: $i] :
( ~ ( ssList @ SY850 )
| ( ( app @ ( app @ SY848 @ ( cons @ SV170 @ SY849 ) ) @ ( cons @ SV194 @ SY850 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) ) ) ) )
= $true )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1365]) ).
thf(1427,plain,
! [SV58: $i,SV202: $i,SV150: $i,SV190: $i] :
( ( ( ( ( app @ SV190 @ ( cons @ SV150 @ SV202 ) )
!= SV58 ) )
= $true )
| ( ( ~ ( ssList @ SV202 ) )
= $true )
| ( ( ~ ( ssList @ SV190 ) )
= $true )
| ( ( memberP @ SV58 @ SV150 )
= $true )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1428,plain,
! [SV58: $i,SV151: $i] :
( ( ( ~ ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) ) ) )
= $true )
| ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1367]) ).
thf(1429,plain,
! [SV58: $i,SV151: $i] :
( ( ( ssList @ ( sK48_W @ SV151 @ SV58 ) )
= $true )
| ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1368]) ).
thf(1430,plain,
! [SV59: $i,SV203: $i] :
( ( ( ~ ( ssList @ SV203 ) )
= $true )
| ( ( ~ ( totalorderedP @ ( cons @ SV59 @ SV203 ) )
| ( nil != SV203 )
| ( nil = SV203 ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1369]) ).
thf(1431,plain,
! [SV59: $i,SV204: $i] :
( ( ( ~ ( ssList @ SV204 ) )
= $true )
| ( ( ~ ( totalorderedP @ ( cons @ SV59 @ SV204 ) )
| ( totalorderedP @ SV204 )
| ( nil = SV204 ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1370]) ).
thf(1432,plain,
! [SV178: $i,SV59: $i] :
( ( ( totalorderedP @ ( cons @ SV59 @ SV178 ) )
= $false )
| ( ( ( leq @ SV59 @ ( hd @ SV178 ) )
| ( nil = SV178 ) )
= $true )
| ( ( ssList @ SV178 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1433,plain,
! [SV59: $i,SV179: $i] :
( ( ( ( nil = SV179 )
| ~ ( totalorderedP @ SV179 ) )
= $true )
| ( ( ~ ( leq @ SV59 @ ( hd @ SV179 ) ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV59 @ SV179 ) )
= $true )
| ( ( ssList @ SV179 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1434,plain,
! [SV59: $i,SV180: $i] :
( ( ( nil = SV180 )
= $false )
| ( ( totalorderedP @ ( cons @ SV59 @ SV180 ) )
= $true )
| ( ( ssList @ SV180 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1435,plain,
! [SV61: $i,SV154: $i,SV191: $i] :
( ( ( ssList @ SV191 )
= $false )
| ( ( ( app @ SV154 @ SV191 )
= SV61 )
= $false )
| ( ( frontsegP @ SV61 @ SV154 )
= $true )
| ( ( ssList @ SV154 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1436,plain,
! [SV61: $i,SV155: $i] :
( ( ( ( app @ SV155 @ ( sK46_W @ SV155 @ SV61 ) )
= SV61 )
= $true )
| ( ( frontsegP @ SV61 @ SV155 )
= $false )
| ( ( ssList @ SV155 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1375]) ).
thf(1437,plain,
! [SV61: $i,SV155: $i] :
( ( ( ssList @ ( sK46_W @ SV155 @ SV61 ) )
= $true )
| ( ( frontsegP @ SV61 @ SV155 )
= $false )
| ( ( ssList @ SV155 )
= $false )
| ( ( ssList @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1438,plain,
! [SV111: $i] :
( ( ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) )
| ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1439,plain,
! [SV112: $i,SV171: $i,SV195: $i] :
( ( ( ssItem @ SV195 )
= $false )
| ( ( ! [SY851: $i] :
( ~ ( ssList @ SY851 )
| ! [SY852: $i] :
( ~ ( ssList @ SY852 )
| ( ( app @ SY851 @ ( cons @ SV171 @ ( cons @ SV195 @ SY852 ) ) )
!= SV112 )
| ( SV171 = SV195 ) ) ) )
= $true )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1440,plain,
! [SV113: $i] :
( ( ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1381]) ).
thf(1441,plain,
! [SV114: $i,SV172: $i,SV196: $i] :
( ( ( ssItem @ SV196 )
= $false )
| ( ( ! [SY853: $i] :
( ~ ( ssList @ SY853 )
| ! [SY854: $i] :
( ~ ( ssList @ SY854 )
| ! [SY855: $i] :
( ~ ( ssList @ SY855 )
| ( ( app @ ( app @ SY853 @ ( cons @ SV172 @ SY854 ) ) @ ( cons @ SV196 @ SY855 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) ) ) ) )
= $true )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1442,plain,
! [SV115: $i] :
( ( ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1443,plain,
! [SV116: $i,SV173: $i,SV197: $i] :
( ( ( ssItem @ SV197 )
= $false )
| ( ( ! [SY856: $i] :
( ~ ( ssList @ SY856 )
| ! [SY857: $i] :
( ~ ( ssList @ SY857 )
| ! [SY858: $i] :
( ~ ( ssList @ SY858 )
| ( ( app @ ( app @ SY856 @ ( cons @ SV173 @ SY857 ) ) @ ( cons @ SV197 @ SY858 ) )
!= SV116 )
| ( SV173 != SV197 ) ) ) ) )
= $true )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1385]) ).
thf(1444,plain,
! [SV117: $i] :
( ( ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1445,plain,
! [SV118: $i,SV174: $i,SV198: $i] :
( ( ( ssItem @ SV198 )
= $false )
| ( ( ! [SY859: $i] :
( ~ ( ssList @ SY859 )
| ! [SY860: $i] :
( ~ ( ssList @ SY860 )
| ! [SY861: $i] :
( ~ ( ssList @ SY861 )
| ( ( app @ ( app @ SY859 @ ( cons @ SV174 @ SY860 ) ) @ ( cons @ SV198 @ SY861 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) ) ) ) )
= $true )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1446,plain,
! [SV119: $i,SV64: $i,SV160: $i,SV205: $i] :
( ( ( ~ ( ssItem @ SV205 ) )
= $true )
| ( ( ( ( cons @ SV160 @ SV64 )
!= ( cons @ SV205 @ SV119 ) )
| ( SV160 = SV205 ) )
= $true )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1389]) ).
thf(1447,plain,
! [SV119: $i,SV64: $i,SV160: $i,SV206: $i] :
( ( ( ~ ( ssItem @ SV206 ) )
= $true )
| ( ( ( ( cons @ SV160 @ SV64 )
!= ( cons @ SV206 @ SV119 ) )
| ( SV119 = SV64 ) )
= $true )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1390]) ).
thf(1448,plain,
! [SV181: $i,SV65: $i] :
( ( ( lt @ SV65 @ SV181 )
= $false )
| ( ( ( SV65 != SV181 ) )
= $true )
| ( ( ssItem @ SV181 )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1449,plain,
! [SV182: $i,SV65: $i] :
( ( ( lt @ SV65 @ SV182 )
= $false )
| ( ( leq @ SV65 @ SV182 )
= $true )
| ( ( ssItem @ SV182 )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1450,plain,
! [SV66: $i,SV162: $i,SV192: $i] :
( ( ( ssList @ SV192 )
= $false )
| ( ( ( app @ SV192 @ SV162 )
= SV66 )
= $false )
| ( ( rearsegP @ SV66 @ SV162 )
= $true )
| ( ( ssList @ SV162 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1393]) ).
thf(1451,plain,
! [SV66: $i,SV163: $i] :
( ( ( ( app @ ( sK45_W @ SV163 @ SV66 ) @ SV163 )
= SV66 )
= $true )
| ( ( rearsegP @ SV66 @ SV163 )
= $false )
| ( ( ssList @ SV163 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1394]) ).
thf(1452,plain,
! [SV66: $i,SV163: $i] :
( ( ( ssList @ ( sK45_W @ SV163 @ SV66 ) )
= $true )
| ( ( rearsegP @ SV66 @ SV163 )
= $false )
| ( ( ssList @ SV163 )
= $false )
| ( ( ssList @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1395]) ).
thf(1453,plain,
! [SV183: $i,SV68: $i] :
( ( ( nil
= ( app @ SV68 @ SV183 ) )
= $false )
| ( ( nil = SV183 )
= $true )
| ( ( ssList @ SV183 )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1454,plain,
! [SV184: $i,SV68: $i] :
( ( ( nil
= ( app @ SV68 @ SV184 ) )
= $false )
| ( ( nil = SV68 )
= $true )
| ( ( ssList @ SV184 )
= $false )
| ( ( ssList @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1455,plain,
! [SV69: $i,SV185: $i,SV122: $i] :
( ( ( memberP @ ( cons @ SV122 @ SV185 ) @ SV69 )
= $false )
| ( ( ( SV69 = SV122 )
| ( memberP @ SV185 @ SV69 ) )
= $true )
| ( ( ssList @ SV185 )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1456,plain,
! [SV122: $i,SV69: $i,SV207: $i] :
( ( ( ~ ( ssList @ SV207 ) )
= $true )
| ( ( ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SV207 ) @ SV69 ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1457,plain,
! [SV122: $i,SV69: $i,SV208: $i] :
( ( ( ~ ( ssList @ SV208 ) )
= $true )
| ( ( ~ ( memberP @ SV208 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SV208 ) @ SV69 ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1401]) ).
thf(1458,plain,
! [SV70: $i,SV209: $i,SV165: $i,SV193: $i] :
( ( ( ( ( app @ ( app @ SV193 @ SV165 ) @ SV209 )
!= SV70 ) )
= $true )
| ( ( ~ ( ssList @ SV209 ) )
= $true )
| ( ( ~ ( ssList @ SV193 ) )
= $true )
| ( ( segmentP @ SV70 @ SV165 )
= $true )
| ( ( ssList @ SV165 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1402]) ).
thf(1459,plain,
! [SV70: $i,SV166: $i] :
( ( ( ~ ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) ) ) )
= $true )
| ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1403]) ).
thf(1460,plain,
! [SV70: $i,SV166: $i] :
( ( ( ssList @ ( sK43_W @ SV166 @ SV70 ) )
= $true )
| ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1404]) ).
thf(1461,plain,
! [SV72: $i,SV210: $i] :
( ( ( ~ ( ssList @ SV210 ) )
= $true )
| ( ( ~ ( strictorderedP @ ( cons @ SV72 @ SV210 ) )
| ( nil != SV210 )
| ( nil = SV210 ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1405]) ).
thf(1462,plain,
! [SV72: $i,SV211: $i] :
( ( ( ~ ( ssList @ SV211 ) )
= $true )
| ( ( ~ ( strictorderedP @ ( cons @ SV72 @ SV211 ) )
| ( strictorderedP @ SV211 )
| ( nil = SV211 ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1463,plain,
! [SV186: $i,SV72: $i] :
( ( ( strictorderedP @ ( cons @ SV72 @ SV186 ) )
= $false )
| ( ( ( lt @ SV72 @ ( hd @ SV186 ) )
| ( nil = SV186 ) )
= $true )
| ( ( ssList @ SV186 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1464,plain,
! [SV72: $i,SV187: $i] :
( ( ( ( nil = SV187 )
| ~ ( strictorderedP @ SV187 ) )
= $true )
| ( ( ~ ( lt @ SV72 @ ( hd @ SV187 ) ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV72 @ SV187 ) )
= $true )
| ( ( ssList @ SV187 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1465,plain,
! [SV72: $i,SV188: $i] :
( ( ( nil = SV188 )
= $false )
| ( ( strictorderedP @ ( cons @ SV72 @ SV188 ) )
= $true )
| ( ( ssList @ SV188 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1466,plain,
! [SV127: $i] :
( ( ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1467,plain,
! [SV128: $i,SV175: $i,SV199: $i] :
( ( ( ssItem @ SV199 )
= $false )
| ( ( ! [SY862: $i] :
( ~ ( ssList @ SY862 )
| ! [SY863: $i] :
( ~ ( ssList @ SY863 )
| ! [SY864: $i] :
( ~ ( ssList @ SY864 )
| ( ( app @ ( app @ SY862 @ ( cons @ SV175 @ SY863 ) ) @ ( cons @ SV199 @ SY864 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) ) ) ) )
= $true )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1468,plain,
( ( ~ ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1469,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1470,plain,
( ( ( sK2_SY549 != sK4_SY560 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1471,plain,
( ( ( sK1_U != sK3_SY554 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1472,plain,
! [SV73: $i,SV189: $i,SV129: $i] :
( ( ( memberP @ ( app @ SV129 @ SV189 ) @ SV73 )
= $false )
| ( ( ( memberP @ SV129 @ SV73 )
| ( memberP @ SV189 @ SV73 ) )
= $true )
| ( ( ssList @ SV189 )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1473,plain,
! [SV73: $i,SV129: $i,SV212: $i] :
( ( ( ~ ( ssList @ SV212 ) )
= $true )
| ( ( ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SV212 ) @ SV73 ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1416]) ).
thf(1474,plain,
! [SV129: $i,SV73: $i,SV213: $i] :
( ( ( ~ ( ssList @ SV213 ) )
= $true )
| ( ( ~ ( memberP @ SV213 @ SV73 )
| ( memberP @ ( app @ SV129 @ SV213 ) @ SV73 ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1475,plain,
! [SV130: $i] :
( ( ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1476,plain,
! [SV131: $i,SV176: $i,SV200: $i] :
( ( ( ssItem @ SV200 )
= $false )
| ( ( ! [SY865: $i] :
( ~ ( ssList @ SY865 )
| ! [SY866: $i] :
( ~ ( ssList @ SY866 )
| ! [SY867: $i] :
( ~ ( ssList @ SY867 )
| ( ( app @ ( app @ SY865 @ ( cons @ SV176 @ SY866 ) ) @ ( cons @ SV200 @ SY867 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) ) ) ) )
= $true )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1477,plain,
! [SV149: $i,SV108: $i,SV57: $i,SV201: $i] :
( ( ( ssList @ SV201 )
= $false )
| ( ( ( SV57 != SV108 )
| ~ ( frontsegP @ SV149 @ SV201 )
| ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV201 ) ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1478,plain,
! [SV108: $i,SV149: $i,SV57: $i] :
( ( ( ! [SY809: $i] :
( ~ ( ssList @ SY809 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY809 ) )
| ( SV57 = SV108 ) ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1423]) ).
thf(1479,plain,
! [SV108: $i,SV149: $i,SV57: $i] :
( ( ( ! [SY810: $i] :
( ~ ( ssList @ SY810 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SY810 ) )
| ( frontsegP @ SV149 @ SY810 ) ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1480,plain,
! [SV109: $i] :
( ( ( ~ ( ssList @ ( sK30_SY610 @ SV109 ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1425]) ).
thf(1481,plain,
! [SV109: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1425]) ).
thf(1482,plain,
! [SV110: $i,SV194: $i,SV170: $i,SV214: $i] :
( ( ( ~ ( ssList @ SV214 )
| ! [SY868: $i] :
( ~ ( ssList @ SY868 )
| ! [SY869: $i] :
( ~ ( ssList @ SY869 )
| ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SY868 ) ) @ ( cons @ SV194 @ SY869 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) ) ) )
= $true )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(1483,plain,
! [SV58: $i,SV202: $i,SV150: $i,SV190: $i] :
( ( ( ( app @ SV190 @ ( cons @ SV150 @ SV202 ) )
= SV58 )
= $false )
| ( ( ~ ( ssList @ SV202 ) )
= $true )
| ( ( ~ ( ssList @ SV190 ) )
= $true )
| ( ( memberP @ SV58 @ SV150 )
= $true )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1484,plain,
! [SV58: $i,SV151: $i] :
( ( ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
!= SV58 )
| ~ ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
= $false )
| ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1485,plain,
! [SV59: $i,SV203: $i] :
( ( ( ssList @ SV203 )
= $false )
| ( ( ~ ( totalorderedP @ ( cons @ SV59 @ SV203 ) )
| ( nil != SV203 )
| ( nil = SV203 ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1486,plain,
! [SV59: $i,SV204: $i] :
( ( ( ssList @ SV204 )
= $false )
| ( ( ~ ( totalorderedP @ ( cons @ SV59 @ SV204 ) )
| ( totalorderedP @ SV204 )
| ( nil = SV204 ) )
= $true )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1487,plain,
! [SV178: $i,SV59: $i] :
( ( ( leq @ SV59 @ ( hd @ SV178 ) )
= $true )
| ( ( nil = SV178 )
= $true )
| ( ( totalorderedP @ ( cons @ SV59 @ SV178 ) )
= $false )
| ( ( ssList @ SV178 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1432]) ).
thf(1488,plain,
! [SV59: $i,SV179: $i] :
( ( ( nil = SV179 )
= $true )
| ( ( ~ ( totalorderedP @ SV179 ) )
= $true )
| ( ( ~ ( leq @ SV59 @ ( hd @ SV179 ) ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV59 @ SV179 ) )
= $true )
| ( ( ssList @ SV179 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1433]) ).
thf(1489,plain,
! [SV111: $i] :
( ( ( ~ ( ssList @ ( sK11_SY573 @ SV111 ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1438]) ).
thf(1490,plain,
! [SV111: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1438]) ).
thf(1491,plain,
! [SV112: $i,SV195: $i,SV171: $i,SV215: $i] :
( ( ( ~ ( ssList @ SV215 )
| ! [SY870: $i] :
( ~ ( ssList @ SY870 )
| ( ( app @ SV215 @ ( cons @ SV171 @ ( cons @ SV195 @ SY870 ) ) )
!= SV112 )
| ( SV171 = SV195 ) ) )
= $true )
| ( ( ssItem @ SV195 )
= $false )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(1492,plain,
! [SV113: $i] :
( ( ( ~ ( ssList @ ( sK35_SY620 @ SV113 ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1493,plain,
! [SV113: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1494,plain,
! [SV114: $i,SV196: $i,SV172: $i,SV216: $i] :
( ( ( ~ ( ssList @ SV216 )
| ! [SY871: $i] :
( ~ ( ssList @ SY871 )
| ! [SY872: $i] :
( ~ ( ssList @ SY872 )
| ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SY871 ) ) @ ( cons @ SV196 @ SY872 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) ) ) )
= $true )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(1495,plain,
! [SV115: $i] :
( ( ( ~ ( ssList @ ( sK15_SY580 @ SV115 ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1496,plain,
! [SV115: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1497,plain,
! [SV116: $i,SV197: $i,SV173: $i,SV217: $i] :
( ( ( ~ ( ssList @ SV217 )
| ! [SY873: $i] :
( ~ ( ssList @ SY873 )
| ! [SY874: $i] :
( ~ ( ssList @ SY874 )
| ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SY873 ) ) @ ( cons @ SV197 @ SY874 ) )
!= SV116 )
| ( SV173 != SV197 ) ) ) )
= $true )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1443]) ).
thf(1498,plain,
! [SV117: $i] :
( ( ( ~ ( ssList @ ( sK20_SY590 @ SV117 ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1444]) ).
thf(1499,plain,
! [SV117: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1444]) ).
thf(1500,plain,
! [SV118: $i,SV198: $i,SV174: $i,SV218: $i] :
( ( ( ~ ( ssList @ SV218 )
| ! [SY875: $i] :
( ~ ( ssList @ SY875 )
| ! [SY876: $i] :
( ~ ( ssList @ SY876 )
| ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SY875 ) ) @ ( cons @ SV198 @ SY876 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) ) ) )
= $true )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1445]) ).
thf(1501,plain,
! [SV119: $i,SV64: $i,SV160: $i,SV205: $i] :
( ( ( ssItem @ SV205 )
= $false )
| ( ( ( ( cons @ SV160 @ SV64 )
!= ( cons @ SV205 @ SV119 ) )
| ( SV160 = SV205 ) )
= $true )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1446]) ).
thf(1502,plain,
! [SV119: $i,SV64: $i,SV160: $i,SV206: $i] :
( ( ( ssItem @ SV206 )
= $false )
| ( ( ( ( cons @ SV160 @ SV64 )
!= ( cons @ SV206 @ SV119 ) )
| ( SV119 = SV64 ) )
= $true )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1503,plain,
! [SV181: $i,SV65: $i] :
( ( ( SV65 = SV181 )
= $false )
| ( ( lt @ SV65 @ SV181 )
= $false )
| ( ( ssItem @ SV181 )
= $false )
| ( ( ssItem @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1504,plain,
! [SV185: $i,SV122: $i,SV69: $i] :
( ( ( SV69 = SV122 )
= $true )
| ( ( memberP @ SV185 @ SV69 )
= $true )
| ( ( memberP @ ( cons @ SV122 @ SV185 ) @ SV69 )
= $false )
| ( ( ssList @ SV185 )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1455]) ).
thf(1505,plain,
! [SV122: $i,SV69: $i,SV207: $i] :
( ( ( ssList @ SV207 )
= $false )
| ( ( ( SV69 != SV122 )
| ( memberP @ ( cons @ SV122 @ SV207 ) @ SV69 ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1506,plain,
! [SV122: $i,SV69: $i,SV208: $i] :
( ( ( ssList @ SV208 )
= $false )
| ( ( ~ ( memberP @ SV208 @ SV69 )
| ( memberP @ ( cons @ SV122 @ SV208 ) @ SV69 ) )
= $true )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1457]) ).
thf(1507,plain,
! [SV70: $i,SV209: $i,SV165: $i,SV193: $i] :
( ( ( ( app @ ( app @ SV193 @ SV165 ) @ SV209 )
= SV70 )
= $false )
| ( ( ~ ( ssList @ SV209 ) )
= $true )
| ( ( ~ ( ssList @ SV193 ) )
= $true )
| ( ( segmentP @ SV70 @ SV165 )
= $true )
| ( ( ssList @ SV165 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1508,plain,
! [SV70: $i,SV166: $i] :
( ( ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
!= SV70 )
| ~ ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) ) )
= $false )
| ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1509,plain,
! [SV72: $i,SV210: $i] :
( ( ( ssList @ SV210 )
= $false )
| ( ( ~ ( strictorderedP @ ( cons @ SV72 @ SV210 ) )
| ( nil != SV210 )
| ( nil = SV210 ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1510,plain,
! [SV72: $i,SV211: $i] :
( ( ( ssList @ SV211 )
= $false )
| ( ( ~ ( strictorderedP @ ( cons @ SV72 @ SV211 ) )
| ( strictorderedP @ SV211 )
| ( nil = SV211 ) )
= $true )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1511,plain,
! [SV186: $i,SV72: $i] :
( ( ( lt @ SV72 @ ( hd @ SV186 ) )
= $true )
| ( ( nil = SV186 )
= $true )
| ( ( strictorderedP @ ( cons @ SV72 @ SV186 ) )
= $false )
| ( ( ssList @ SV186 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1463]) ).
thf(1512,plain,
! [SV72: $i,SV187: $i] :
( ( ( nil = SV187 )
= $true )
| ( ( ~ ( strictorderedP @ SV187 ) )
= $true )
| ( ( ~ ( lt @ SV72 @ ( hd @ SV187 ) ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV72 @ SV187 ) )
= $true )
| ( ( ssList @ SV187 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1464]) ).
thf(1513,plain,
! [SV127: $i] :
( ( ( ~ ( ssList @ ( sK40_SY630 @ SV127 ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1514,plain,
! [SV127: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1515,plain,
! [SV128: $i,SV199: $i,SV175: $i,SV219: $i] :
( ( ( ~ ( ssList @ SV219 )
| ! [SY877: $i] :
( ~ ( ssList @ SY877 )
| ! [SY878: $i] :
( ~ ( ssList @ SY878 )
| ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SY877 ) ) @ ( cons @ SV199 @ SY878 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) ) ) )
= $true )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(1516,plain,
( ( ~ ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1517,plain,
( ( ~ ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1469]) ).
thf(1518,plain,
( ( sK2_SY549 = sK4_SY560 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1519,plain,
( ( sK1_U = sK3_SY554 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1520,plain,
! [SV189: $i,SV73: $i,SV129: $i] :
( ( ( memberP @ SV129 @ SV73 )
= $true )
| ( ( memberP @ SV189 @ SV73 )
= $true )
| ( ( memberP @ ( app @ SV129 @ SV189 ) @ SV73 )
= $false )
| ( ( ssList @ SV189 )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1472]) ).
thf(1521,plain,
! [SV73: $i,SV129: $i,SV212: $i] :
( ( ( ssList @ SV212 )
= $false )
| ( ( ~ ( memberP @ SV129 @ SV73 )
| ( memberP @ ( app @ SV129 @ SV212 ) @ SV73 ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1522,plain,
! [SV129: $i,SV73: $i,SV213: $i] :
( ( ( ssList @ SV213 )
= $false )
| ( ( ~ ( memberP @ SV213 @ SV73 )
| ( memberP @ ( app @ SV129 @ SV213 ) @ SV73 ) )
= $true )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1523,plain,
! [SV130: $i] :
( ( ( ~ ( ssList @ ( sK25_SY600 @ SV130 ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1524,plain,
! [SV130: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1525,plain,
! [SV131: $i,SV200: $i,SV176: $i,SV220: $i] :
( ( ( ~ ( ssList @ SV220 )
| ! [SY879: $i] :
( ~ ( ssList @ SY879 )
| ! [SY880: $i] :
( ~ ( ssList @ SY880 )
| ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SY879 ) ) @ ( cons @ SV200 @ SY880 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) ) ) )
= $true )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(1526,plain,
! [SV201: $i,SV149: $i,SV108: $i,SV57: $i] :
( ( ( ( SV57 != SV108 )
| ~ ( frontsegP @ SV149 @ SV201 ) )
= $true )
| ( ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV201 ) )
= $true )
| ( ( ssList @ SV201 )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1477]) ).
thf(1527,plain,
! [SV108: $i,SV149: $i,SV57: $i,SV221: $i] :
( ( ( ~ ( ssList @ SV221 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV221 ) )
| ( SV57 = SV108 ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1528,plain,
! [SV108: $i,SV149: $i,SV57: $i,SV222: $i] :
( ( ( ~ ( ssList @ SV222 )
| ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV222 ) )
| ( frontsegP @ SV149 @ SV222 ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1529,plain,
! [SV109: $i] :
( ( ( ssList @ ( sK30_SY610 @ SV109 ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1480]) ).
thf(1530,plain,
! [SV109: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1481]) ).
thf(1531,plain,
! [SV110: $i,SV194: $i,SV170: $i,SV214: $i] :
( ( ( ~ ( ssList @ SV214 ) )
= $true )
| ( ( ! [SY868: $i] :
( ~ ( ssList @ SY868 )
| ! [SY869: $i] :
( ~ ( ssList @ SY869 )
| ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SY868 ) ) @ ( cons @ SV194 @ SY869 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) ) ) )
= $true )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1482]) ).
thf(1532,plain,
! [SV58: $i,SV150: $i,SV190: $i,SV202: $i] :
( ( ( ssList @ SV202 )
= $false )
| ( ( ( app @ SV190 @ ( cons @ SV150 @ SV202 ) )
= SV58 )
= $false )
| ( ( ~ ( ssList @ SV190 ) )
= $true )
| ( ( memberP @ SV58 @ SV150 )
= $true )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1533,plain,
! [SV58: $i,SV151: $i] :
( ( ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
!= SV58 ) )
= $false )
| ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1534,plain,
! [SV58: $i,SV151: $i] :
( ( ( ~ ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
= $false )
| ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1535,plain,
! [SV203: $i,SV59: $i] :
( ( ( ~ ( totalorderedP @ ( cons @ SV59 @ SV203 ) ) )
= $true )
| ( ( ( nil != SV203 )
| ( nil = SV203 ) )
= $true )
| ( ( ssList @ SV203 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1536,plain,
! [SV204: $i,SV59: $i] :
( ( ( ~ ( totalorderedP @ ( cons @ SV59 @ SV204 ) ) )
= $true )
| ( ( ( totalorderedP @ SV204 )
| ( nil = SV204 ) )
= $true )
| ( ( ssList @ SV204 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1486]) ).
thf(1537,plain,
! [SV59: $i,SV179: $i] :
( ( ( totalorderedP @ SV179 )
= $false )
| ( ( nil = SV179 )
= $true )
| ( ( ~ ( leq @ SV59 @ ( hd @ SV179 ) ) )
= $true )
| ( ( totalorderedP @ ( cons @ SV59 @ SV179 ) )
= $true )
| ( ( ssList @ SV179 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1538,plain,
! [SV111: $i] :
( ( ( ssList @ ( sK11_SY573 @ SV111 ) )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1489]) ).
thf(1539,plain,
! [SV111: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) ) )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1490]) ).
thf(1540,plain,
! [SV112: $i,SV195: $i,SV171: $i,SV215: $i] :
( ( ( ~ ( ssList @ SV215 ) )
= $true )
| ( ( ! [SY870: $i] :
( ~ ( ssList @ SY870 )
| ( ( app @ SV215 @ ( cons @ SV171 @ ( cons @ SV195 @ SY870 ) ) )
!= SV112 )
| ( SV171 = SV195 ) ) )
= $true )
| ( ( ssItem @ SV195 )
= $false )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1491]) ).
thf(1541,plain,
! [SV113: $i] :
( ( ( ssList @ ( sK35_SY620 @ SV113 ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1542,plain,
! [SV113: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1493]) ).
thf(1543,plain,
! [SV114: $i,SV196: $i,SV172: $i,SV216: $i] :
( ( ( ~ ( ssList @ SV216 ) )
= $true )
| ( ( ! [SY871: $i] :
( ~ ( ssList @ SY871 )
| ! [SY872: $i] :
( ~ ( ssList @ SY872 )
| ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SY871 ) ) @ ( cons @ SV196 @ SY872 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) ) ) )
= $true )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1544,plain,
! [SV115: $i] :
( ( ( ssList @ ( sK15_SY580 @ SV115 ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1495]) ).
thf(1545,plain,
! [SV115: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1496]) ).
thf(1546,plain,
! [SV116: $i,SV197: $i,SV173: $i,SV217: $i] :
( ( ( ~ ( ssList @ SV217 ) )
= $true )
| ( ( ! [SY873: $i] :
( ~ ( ssList @ SY873 )
| ! [SY874: $i] :
( ~ ( ssList @ SY874 )
| ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SY873 ) ) @ ( cons @ SV197 @ SY874 ) )
!= SV116 )
| ( SV173 != SV197 ) ) ) )
= $true )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1497]) ).
thf(1547,plain,
! [SV117: $i] :
( ( ( ssList @ ( sK20_SY590 @ SV117 ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1498]) ).
thf(1548,plain,
! [SV117: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1499]) ).
thf(1549,plain,
! [SV118: $i,SV198: $i,SV174: $i,SV218: $i] :
( ( ( ~ ( ssList @ SV218 ) )
= $true )
| ( ( ! [SY875: $i] :
( ~ ( ssList @ SY875 )
| ! [SY876: $i] :
( ~ ( ssList @ SY876 )
| ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SY875 ) ) @ ( cons @ SV198 @ SY876 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) ) ) )
= $true )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1500]) ).
thf(1550,plain,
! [SV119: $i,SV205: $i,SV64: $i,SV160: $i] :
( ( ( ( ( cons @ SV160 @ SV64 )
!= ( cons @ SV205 @ SV119 ) ) )
= $true )
| ( ( SV160 = SV205 )
= $true )
| ( ( ssItem @ SV205 )
= $false )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1501]) ).
thf(1551,plain,
! [SV119: $i,SV206: $i,SV64: $i,SV160: $i] :
( ( ( ( ( cons @ SV160 @ SV64 )
!= ( cons @ SV206 @ SV119 ) ) )
= $true )
| ( ( SV119 = SV64 )
= $true )
| ( ( ssItem @ SV206 )
= $false )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1502]) ).
thf(1552,plain,
! [SV207: $i,SV122: $i,SV69: $i] :
( ( ( ( SV69 != SV122 ) )
= $true )
| ( ( memberP @ ( cons @ SV122 @ SV207 ) @ SV69 )
= $true )
| ( ( ssList @ SV207 )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1553,plain,
! [SV122: $i,SV69: $i,SV208: $i] :
( ( ( ~ ( memberP @ SV208 @ SV69 ) )
= $true )
| ( ( memberP @ ( cons @ SV122 @ SV208 ) @ SV69 )
= $true )
| ( ( ssList @ SV208 )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1506]) ).
thf(1554,plain,
! [SV70: $i,SV165: $i,SV193: $i,SV209: $i] :
( ( ( ssList @ SV209 )
= $false )
| ( ( ( app @ ( app @ SV193 @ SV165 ) @ SV209 )
= SV70 )
= $false )
| ( ( ~ ( ssList @ SV193 ) )
= $true )
| ( ( segmentP @ SV70 @ SV165 )
= $true )
| ( ( ssList @ SV165 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1555,plain,
! [SV70: $i,SV166: $i] :
( ( ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
!= SV70 ) )
= $false )
| ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1556,plain,
! [SV70: $i,SV166: $i] :
( ( ( ~ ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) ) )
= $false )
| ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1557,plain,
! [SV210: $i,SV72: $i] :
( ( ( ~ ( strictorderedP @ ( cons @ SV72 @ SV210 ) ) )
= $true )
| ( ( ( nil != SV210 )
| ( nil = SV210 ) )
= $true )
| ( ( ssList @ SV210 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1558,plain,
! [SV211: $i,SV72: $i] :
( ( ( ~ ( strictorderedP @ ( cons @ SV72 @ SV211 ) ) )
= $true )
| ( ( ( strictorderedP @ SV211 )
| ( nil = SV211 ) )
= $true )
| ( ( ssList @ SV211 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1510]) ).
thf(1559,plain,
! [SV72: $i,SV187: $i] :
( ( ( strictorderedP @ SV187 )
= $false )
| ( ( nil = SV187 )
= $true )
| ( ( ~ ( lt @ SV72 @ ( hd @ SV187 ) ) )
= $true )
| ( ( strictorderedP @ ( cons @ SV72 @ SV187 ) )
= $true )
| ( ( ssList @ SV187 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1512]) ).
thf(1560,plain,
! [SV127: $i] :
( ( ( ssList @ ( sK40_SY630 @ SV127 ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1513]) ).
thf(1561,plain,
! [SV127: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1514]) ).
thf(1562,plain,
! [SV128: $i,SV199: $i,SV175: $i,SV219: $i] :
( ( ( ~ ( ssList @ SV219 ) )
= $true )
| ( ( ! [SY877: $i] :
( ~ ( ssList @ SY877 )
| ! [SY878: $i] :
( ~ ( ssList @ SY878 )
| ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SY877 ) ) @ ( cons @ SV199 @ SY878 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) ) ) )
= $true )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1515]) ).
thf(1563,plain,
( ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1564,plain,
( ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
| ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1565,plain,
! [SV212: $i,SV73: $i,SV129: $i] :
( ( ( ~ ( memberP @ SV129 @ SV73 ) )
= $true )
| ( ( memberP @ ( app @ SV129 @ SV212 ) @ SV73 )
= $true )
| ( ( ssList @ SV212 )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1521]) ).
thf(1566,plain,
! [SV129: $i,SV73: $i,SV213: $i] :
( ( ( ~ ( memberP @ SV213 @ SV73 ) )
= $true )
| ( ( memberP @ ( app @ SV129 @ SV213 ) @ SV73 )
= $true )
| ( ( ssList @ SV213 )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1522]) ).
thf(1567,plain,
! [SV130: $i] :
( ( ( ssList @ ( sK25_SY600 @ SV130 ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1523]) ).
thf(1568,plain,
! [SV130: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1524]) ).
thf(1569,plain,
! [SV131: $i,SV200: $i,SV176: $i,SV220: $i] :
( ( ( ~ ( ssList @ SV220 ) )
= $true )
| ( ( ! [SY879: $i] :
( ~ ( ssList @ SY879 )
| ! [SY880: $i] :
( ~ ( ssList @ SY880 )
| ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SY879 ) ) @ ( cons @ SV200 @ SY880 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) ) ) )
= $true )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1525]) ).
thf(1570,plain,
! [SV201: $i,SV149: $i,SV108: $i,SV57: $i] :
( ( ( ( SV57 != SV108 ) )
= $true )
| ( ( ~ ( frontsegP @ SV149 @ SV201 ) )
= $true )
| ( ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV201 ) )
= $true )
| ( ( ssList @ SV201 )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1526]) ).
thf(1571,plain,
! [SV108: $i,SV149: $i,SV57: $i,SV221: $i] :
( ( ( ~ ( ssList @ SV221 ) )
= $true )
| ( ( ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV221 ) )
| ( SV57 = SV108 ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1527]) ).
thf(1572,plain,
! [SV108: $i,SV149: $i,SV57: $i,SV222: $i] :
( ( ( ~ ( ssList @ SV222 ) )
= $true )
| ( ( ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV222 ) )
| ( frontsegP @ SV149 @ SV222 ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1528]) ).
thf(1573,plain,
! [SV109: $i] :
( ( ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) )
| ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1574,plain,
! [SV110: $i,SV194: $i,SV170: $i,SV214: $i] :
( ( ( ssList @ SV214 )
= $false )
| ( ( ! [SY868: $i] :
( ~ ( ssList @ SY868 )
| ! [SY869: $i] :
( ~ ( ssList @ SY869 )
| ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SY868 ) ) @ ( cons @ SV194 @ SY869 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) ) ) )
= $true )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1575,plain,
! [SV58: $i,SV202: $i,SV150: $i,SV190: $i] :
( ( ( ssList @ SV190 )
= $false )
| ( ( ( app @ SV190 @ ( cons @ SV150 @ SV202 ) )
= SV58 )
= $false )
| ( ( ssList @ SV202 )
= $false )
| ( ( memberP @ SV58 @ SV150 )
= $true )
| ( ( ssItem @ SV150 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1576,plain,
! [SV58: $i,SV151: $i] :
( ( ( ( app @ ( sK48_W @ SV151 @ SV58 ) @ ( cons @ SV151 @ ( sK49_SY637 @ SV151 @ SV58 ) ) )
= SV58 )
= $true )
| ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1533]) ).
thf(1577,plain,
! [SV58: $i,SV151: $i] :
( ( ( ssList @ ( sK49_SY637 @ SV151 @ SV58 ) )
= $true )
| ( ( memberP @ SV58 @ SV151 )
= $false )
| ( ( ssItem @ SV151 )
= $false )
| ( ( ssList @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1534]) ).
thf(1578,plain,
! [SV203: $i,SV59: $i] :
( ( ( totalorderedP @ ( cons @ SV59 @ SV203 ) )
= $false )
| ( ( ( nil != SV203 )
| ( nil = SV203 ) )
= $true )
| ( ( ssList @ SV203 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1579,plain,
! [SV204: $i,SV59: $i] :
( ( ( totalorderedP @ ( cons @ SV59 @ SV204 ) )
= $false )
| ( ( ( totalorderedP @ SV204 )
| ( nil = SV204 ) )
= $true )
| ( ( ssList @ SV204 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1580,plain,
! [SV179: $i,SV59: $i] :
( ( ( leq @ SV59 @ ( hd @ SV179 ) )
= $false )
| ( ( nil = SV179 )
= $true )
| ( ( totalorderedP @ SV179 )
= $false )
| ( ( totalorderedP @ ( cons @ SV59 @ SV179 ) )
= $true )
| ( ( ssList @ SV179 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1581,plain,
! [SV111: $i] :
( ( ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) )
| ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1582,plain,
! [SV112: $i,SV195: $i,SV171: $i,SV215: $i] :
( ( ( ssList @ SV215 )
= $false )
| ( ( ! [SY870: $i] :
( ~ ( ssList @ SY870 )
| ( ( app @ SV215 @ ( cons @ SV171 @ ( cons @ SV195 @ SY870 ) ) )
!= SV112 )
| ( SV171 = SV195 ) ) )
= $true )
| ( ( ssItem @ SV195 )
= $false )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1583,plain,
! [SV113: $i] :
( ( ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) )
| ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1584,plain,
! [SV114: $i,SV196: $i,SV172: $i,SV216: $i] :
( ( ( ssList @ SV216 )
= $false )
| ( ( ! [SY871: $i] :
( ~ ( ssList @ SY871 )
| ! [SY872: $i] :
( ~ ( ssList @ SY872 )
| ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SY871 ) ) @ ( cons @ SV196 @ SY872 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) ) ) )
= $true )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1585,plain,
! [SV115: $i] :
( ( ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) )
| ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1586,plain,
! [SV116: $i,SV197: $i,SV173: $i,SV217: $i] :
( ( ( ssList @ SV217 )
= $false )
| ( ( ! [SY873: $i] :
( ~ ( ssList @ SY873 )
| ! [SY874: $i] :
( ~ ( ssList @ SY874 )
| ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SY873 ) ) @ ( cons @ SV197 @ SY874 ) )
!= SV116 )
| ( SV173 != SV197 ) ) ) )
= $true )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1587,plain,
! [SV117: $i] :
( ( ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) )
| ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1588,plain,
! [SV118: $i,SV198: $i,SV174: $i,SV218: $i] :
( ( ( ssList @ SV218 )
= $false )
| ( ( ! [SY875: $i] :
( ~ ( ssList @ SY875 )
| ! [SY876: $i] :
( ~ ( ssList @ SY876 )
| ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SY875 ) ) @ ( cons @ SV198 @ SY876 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) ) ) )
= $true )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1589,plain,
! [SV119: $i,SV205: $i,SV64: $i,SV160: $i] :
( ( ( ( cons @ SV160 @ SV64 )
= ( cons @ SV205 @ SV119 ) )
= $false )
| ( ( SV160 = SV205 )
= $true )
| ( ( ssItem @ SV205 )
= $false )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1590,plain,
! [SV119: $i,SV206: $i,SV64: $i,SV160: $i] :
( ( ( ( cons @ SV160 @ SV64 )
= ( cons @ SV206 @ SV119 ) )
= $false )
| ( ( SV119 = SV64 )
= $true )
| ( ( ssItem @ SV206 )
= $false )
| ( ( ssItem @ SV160 )
= $false )
| ( ( ssList @ SV119 )
= $false )
| ( ( ssList @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1591,plain,
! [SV207: $i,SV122: $i,SV69: $i] :
( ( ( SV69 = SV122 )
= $false )
| ( ( memberP @ ( cons @ SV122 @ SV207 ) @ SV69 )
= $true )
| ( ( ssList @ SV207 )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1592,plain,
! [SV122: $i,SV69: $i,SV208: $i] :
( ( ( memberP @ SV208 @ SV69 )
= $false )
| ( ( memberP @ ( cons @ SV122 @ SV208 ) @ SV69 )
= $true )
| ( ( ssList @ SV208 )
= $false )
| ( ( ssItem @ SV122 )
= $false )
| ( ( ssItem @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1593,plain,
! [SV70: $i,SV209: $i,SV165: $i,SV193: $i] :
( ( ( ssList @ SV193 )
= $false )
| ( ( ( app @ ( app @ SV193 @ SV165 ) @ SV209 )
= SV70 )
= $false )
| ( ( ssList @ SV209 )
= $false )
| ( ( segmentP @ SV70 @ SV165 )
= $true )
| ( ( ssList @ SV165 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1594,plain,
! [SV70: $i,SV166: $i] :
( ( ( ( app @ ( app @ ( sK43_W @ SV166 @ SV70 ) @ SV166 ) @ ( sK44_SY636 @ SV166 @ SV70 ) )
= SV70 )
= $true )
| ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1595,plain,
! [SV70: $i,SV166: $i] :
( ( ( ssList @ ( sK44_SY636 @ SV166 @ SV70 ) )
= $true )
| ( ( segmentP @ SV70 @ SV166 )
= $false )
| ( ( ssList @ SV166 )
= $false )
| ( ( ssList @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1596,plain,
! [SV210: $i,SV72: $i] :
( ( ( strictorderedP @ ( cons @ SV72 @ SV210 ) )
= $false )
| ( ( ( nil != SV210 )
| ( nil = SV210 ) )
= $true )
| ( ( ssList @ SV210 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1597,plain,
! [SV211: $i,SV72: $i] :
( ( ( strictorderedP @ ( cons @ SV72 @ SV211 ) )
= $false )
| ( ( ( strictorderedP @ SV211 )
| ( nil = SV211 ) )
= $true )
| ( ( ssList @ SV211 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1598,plain,
! [SV187: $i,SV72: $i] :
( ( ( lt @ SV72 @ ( hd @ SV187 ) )
= $false )
| ( ( nil = SV187 )
= $true )
| ( ( strictorderedP @ SV187 )
= $false )
| ( ( strictorderedP @ ( cons @ SV72 @ SV187 ) )
= $true )
| ( ( ssList @ SV187 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1599,plain,
! [SV127: $i] :
( ( ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) )
| ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1600,plain,
! [SV128: $i,SV199: $i,SV175: $i,SV219: $i] :
( ( ( ssList @ SV219 )
= $false )
| ( ( ! [SY877: $i] :
( ~ ( ssList @ SY877 )
| ! [SY878: $i] :
( ~ ( ssList @ SY878 )
| ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SY877 ) ) @ ( cons @ SV199 @ SY878 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) ) ) )
= $true )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1601,plain,
( ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1563]) ).
thf(1602,plain,
( ( ~ ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1563]) ).
thf(1603,plain,
( ( ~ ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1564]) ).
thf(1604,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1564]) ).
thf(1605,plain,
! [SV212: $i,SV73: $i,SV129: $i] :
( ( ( memberP @ SV129 @ SV73 )
= $false )
| ( ( memberP @ ( app @ SV129 @ SV212 ) @ SV73 )
= $true )
| ( ( ssList @ SV212 )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1606,plain,
! [SV129: $i,SV73: $i,SV213: $i] :
( ( ( memberP @ SV213 @ SV73 )
= $false )
| ( ( memberP @ ( app @ SV129 @ SV213 ) @ SV73 )
= $true )
| ( ( ssList @ SV213 )
= $false )
| ( ( ssList @ SV129 )
= $false )
| ( ( ssItem @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1607,plain,
! [SV130: $i] :
( ( ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) )
| ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1608,plain,
! [SV131: $i,SV200: $i,SV176: $i,SV220: $i] :
( ( ( ssList @ SV220 )
= $false )
| ( ( ! [SY879: $i] :
( ~ ( ssList @ SY879 )
| ! [SY880: $i] :
( ~ ( ssList @ SY880 )
| ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SY879 ) ) @ ( cons @ SV200 @ SY880 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) ) ) )
= $true )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1569]) ).
thf(1609,plain,
! [SV201: $i,SV149: $i,SV108: $i,SV57: $i] :
( ( ( SV57 = SV108 )
= $false )
| ( ( ~ ( frontsegP @ SV149 @ SV201 ) )
= $true )
| ( ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV201 ) )
= $true )
| ( ( ssList @ SV201 )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1610,plain,
! [SV108: $i,SV149: $i,SV57: $i,SV221: $i] :
( ( ( ssList @ SV221 )
= $false )
| ( ( ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV221 ) )
| ( SV57 = SV108 ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1571]) ).
thf(1611,plain,
! [SV108: $i,SV149: $i,SV57: $i,SV222: $i] :
( ( ( ssList @ SV222 )
= $false )
| ( ( ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV222 ) )
| ( frontsegP @ SV149 @ SV222 ) )
= $true )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1572]) ).
thf(1612,plain,
! [SV109: $i] :
( ( ( ~ ( ssList @ ( sK31_SY613 @ SV109 ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1613,plain,
! [SV109: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1614,plain,
! [SV110: $i,SV194: $i,SV170: $i,SV214: $i,SV223: $i] :
( ( ( ~ ( ssList @ SV223 )
| ! [SY881: $i] :
( ~ ( ssList @ SY881 )
| ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SV223 ) ) @ ( cons @ SV194 @ SY881 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) ) )
= $true )
| ( ( ssList @ SV214 )
= $false )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(1615,plain,
! [SV59: $i,SV203: $i] :
( ( ( ( nil != SV203 ) )
= $true )
| ( ( nil = SV203 )
= $true )
| ( ( totalorderedP @ ( cons @ SV59 @ SV203 ) )
= $false )
| ( ( ssList @ SV203 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1578]) ).
thf(1616,plain,
! [SV59: $i,SV204: $i] :
( ( ( totalorderedP @ SV204 )
= $true )
| ( ( nil = SV204 )
= $true )
| ( ( totalorderedP @ ( cons @ SV59 @ SV204 ) )
= $false )
| ( ( ssList @ SV204 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1579]) ).
thf(1617,plain,
! [SV111: $i] :
( ( ( ~ ( ssList @ ( sK12_SY575 @ SV111 ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1618,plain,
! [SV111: $i] :
( ( ( ~ ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1619,plain,
! [SV112: $i,SV195: $i,SV171: $i,SV215: $i,SV224: $i] :
( ( ( ~ ( ssList @ SV224 )
| ( ( app @ SV215 @ ( cons @ SV171 @ ( cons @ SV195 @ SV224 ) ) )
!= SV112 )
| ( SV171 = SV195 ) )
= $true )
| ( ( ssList @ SV215 )
= $false )
| ( ( ssItem @ SV195 )
= $false )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1582]) ).
thf(1620,plain,
! [SV113: $i] :
( ( ( ~ ( ssList @ ( sK36_SY623 @ SV113 ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1621,plain,
! [SV113: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1622,plain,
! [SV114: $i,SV196: $i,SV172: $i,SV216: $i,SV225: $i] :
( ( ( ~ ( ssList @ SV225 )
| ! [SY882: $i] :
( ~ ( ssList @ SY882 )
| ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SV225 ) ) @ ( cons @ SV196 @ SY882 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) ) )
= $true )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1584]) ).
thf(1623,plain,
! [SV115: $i] :
( ( ( ~ ( ssList @ ( sK16_SY583 @ SV115 ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1585]) ).
thf(1624,plain,
! [SV115: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1585]) ).
thf(1625,plain,
! [SV116: $i,SV197: $i,SV173: $i,SV217: $i,SV226: $i] :
( ( ( ~ ( ssList @ SV226 )
| ! [SY883: $i] :
( ~ ( ssList @ SY883 )
| ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SV226 ) ) @ ( cons @ SV197 @ SY883 ) )
!= SV116 )
| ( SV173 != SV197 ) ) )
= $true )
| ( ( ssList @ SV217 )
= $false )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1586]) ).
thf(1626,plain,
! [SV117: $i] :
( ( ( ~ ( ssList @ ( sK21_SY593 @ SV117 ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1587]) ).
thf(1627,plain,
! [SV117: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1587]) ).
thf(1628,plain,
! [SV118: $i,SV198: $i,SV174: $i,SV218: $i,SV227: $i] :
( ( ( ~ ( ssList @ SV227 )
| ! [SY884: $i] :
( ~ ( ssList @ SY884 )
| ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SV227 ) ) @ ( cons @ SV198 @ SY884 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) ) )
= $true )
| ( ( ssList @ SV218 )
= $false )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1588]) ).
thf(1629,plain,
! [SV72: $i,SV210: $i] :
( ( ( ( nil != SV210 ) )
= $true )
| ( ( nil = SV210 )
= $true )
| ( ( strictorderedP @ ( cons @ SV72 @ SV210 ) )
= $false )
| ( ( ssList @ SV210 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1596]) ).
thf(1630,plain,
! [SV72: $i,SV211: $i] :
( ( ( strictorderedP @ SV211 )
= $true )
| ( ( nil = SV211 )
= $true )
| ( ( strictorderedP @ ( cons @ SV72 @ SV211 ) )
= $false )
| ( ( ssList @ SV211 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1597]) ).
thf(1631,plain,
! [SV127: $i] :
( ( ( ~ ( ssList @ ( sK41_SY633 @ SV127 ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1599]) ).
thf(1632,plain,
! [SV127: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1599]) ).
thf(1633,plain,
! [SV128: $i,SV199: $i,SV175: $i,SV219: $i,SV228: $i] :
( ( ( ~ ( ssList @ SV228 )
| ! [SY885: $i] :
( ~ ( ssList @ SY885 )
| ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SY885 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) ) )
= $true )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1600]) ).
thf(1634,plain,
( ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ( neq @ sK2_SY549 @ nil ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1601]) ).
thf(1635,plain,
( ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U )
| ~ ( neq @ sK4_SY560 @ nil ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1636,plain,
( ( ~ ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1637,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1604]) ).
thf(1638,plain,
! [SV130: $i] :
( ( ( ~ ( ssList @ ( sK26_SY603 @ SV130 ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1639,plain,
! [SV130: $i] :
( ( ( ~ ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1640,plain,
! [SV131: $i,SV200: $i,SV176: $i,SV220: $i,SV229: $i] :
( ( ( ~ ( ssList @ SV229 )
| ! [SY886: $i] :
( ~ ( ssList @ SY886 )
| ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SV229 ) ) @ ( cons @ SV200 @ SY886 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) ) )
= $true )
| ( ( ssList @ SV220 )
= $false )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(1641,plain,
! [SV108: $i,SV57: $i,SV201: $i,SV149: $i] :
( ( ( frontsegP @ SV149 @ SV201 )
= $false )
| ( ( SV57 = SV108 )
= $false )
| ( ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV201 ) )
= $true )
| ( ( ssList @ SV201 )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1642,plain,
! [SV221: $i,SV108: $i,SV149: $i,SV57: $i] :
( ( ( ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV221 ) ) )
= $true )
| ( ( SV57 = SV108 )
= $true )
| ( ( ssList @ SV221 )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1610]) ).
thf(1643,plain,
! [SV222: $i,SV108: $i,SV149: $i,SV57: $i] :
( ( ( ~ ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV222 ) ) )
= $true )
| ( ( frontsegP @ SV149 @ SV222 )
= $true )
| ( ( ssList @ SV222 )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1611]) ).
thf(1644,plain,
! [SV109: $i] :
( ( ( ssList @ ( sK31_SY613 @ SV109 ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1612]) ).
thf(1645,plain,
! [SV109: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1613]) ).
thf(1646,plain,
! [SV110: $i,SV194: $i,SV170: $i,SV214: $i,SV223: $i] :
( ( ( ~ ( ssList @ SV223 ) )
= $true )
| ( ( ! [SY881: $i] :
( ~ ( ssList @ SY881 )
| ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SV223 ) ) @ ( cons @ SV194 @ SY881 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) ) )
= $true )
| ( ( ssList @ SV214 )
= $false )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1614]) ).
thf(1647,plain,
! [SV59: $i,SV203: $i] :
( ( ( nil = SV203 )
= $false )
| ( ( nil = SV203 )
= $true )
| ( ( totalorderedP @ ( cons @ SV59 @ SV203 ) )
= $false )
| ( ( ssList @ SV203 )
= $false )
| ( ( ssItem @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1648,plain,
! [SV111: $i] :
( ( ( ssList @ ( sK12_SY575 @ SV111 ) )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1617]) ).
thf(1649,plain,
! [SV111: $i] :
( ( ( ~ ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) ) )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1618]) ).
thf(1650,plain,
! [SV112: $i,SV195: $i,SV171: $i,SV215: $i,SV224: $i] :
( ( ( ~ ( ssList @ SV224 ) )
= $true )
| ( ( ( ( app @ SV215 @ ( cons @ SV171 @ ( cons @ SV195 @ SV224 ) ) )
!= SV112 )
| ( SV171 = SV195 ) )
= $true )
| ( ( ssList @ SV215 )
= $false )
| ( ( ssItem @ SV195 )
= $false )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1619]) ).
thf(1651,plain,
! [SV113: $i] :
( ( ( ssList @ ( sK36_SY623 @ SV113 ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1620]) ).
thf(1652,plain,
! [SV113: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1621]) ).
thf(1653,plain,
! [SV114: $i,SV196: $i,SV172: $i,SV216: $i,SV225: $i] :
( ( ( ~ ( ssList @ SV225 ) )
= $true )
| ( ( ! [SY882: $i] :
( ~ ( ssList @ SY882 )
| ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SV225 ) ) @ ( cons @ SV196 @ SY882 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) ) )
= $true )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1622]) ).
thf(1654,plain,
! [SV115: $i] :
( ( ( ssList @ ( sK16_SY583 @ SV115 ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1623]) ).
thf(1655,plain,
! [SV115: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1624]) ).
thf(1656,plain,
! [SV116: $i,SV197: $i,SV173: $i,SV217: $i,SV226: $i] :
( ( ( ~ ( ssList @ SV226 ) )
= $true )
| ( ( ! [SY883: $i] :
( ~ ( ssList @ SY883 )
| ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SV226 ) ) @ ( cons @ SV197 @ SY883 ) )
!= SV116 )
| ( SV173 != SV197 ) ) )
= $true )
| ( ( ssList @ SV217 )
= $false )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1625]) ).
thf(1657,plain,
! [SV117: $i] :
( ( ( ssList @ ( sK21_SY593 @ SV117 ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1626]) ).
thf(1658,plain,
! [SV117: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1627]) ).
thf(1659,plain,
! [SV118: $i,SV198: $i,SV174: $i,SV218: $i,SV227: $i] :
( ( ( ~ ( ssList @ SV227 ) )
= $true )
| ( ( ! [SY884: $i] :
( ~ ( ssList @ SY884 )
| ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SV227 ) ) @ ( cons @ SV198 @ SY884 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) ) )
= $true )
| ( ( ssList @ SV218 )
= $false )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1628]) ).
thf(1660,plain,
! [SV72: $i,SV210: $i] :
( ( ( nil = SV210 )
= $false )
| ( ( nil = SV210 )
= $true )
| ( ( strictorderedP @ ( cons @ SV72 @ SV210 ) )
= $false )
| ( ( ssList @ SV210 )
= $false )
| ( ( ssItem @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1629]) ).
thf(1661,plain,
! [SV127: $i] :
( ( ( ssList @ ( sK41_SY633 @ SV127 ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1631]) ).
thf(1662,plain,
! [SV127: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1632]) ).
thf(1663,plain,
! [SV128: $i,SV199: $i,SV175: $i,SV219: $i,SV228: $i] :
( ( ( ~ ( ssList @ SV228 ) )
= $true )
| ( ( ! [SY885: $i] :
( ~ ( ssList @ SY885 )
| ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SY885 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) ) )
= $true )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1633]) ).
thf(1664,plain,
( ( ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U ) )
= $true )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1634]) ).
thf(1665,plain,
( ( ( ~ ( neq @ sK1_U @ nil )
| ~ ( segmentP @ sK2_SY549 @ sK1_U ) )
= $true )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1635]) ).
thf(1666,plain,
( ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1636]) ).
thf(1667,plain,
( ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
| ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1637]) ).
thf(1668,plain,
! [SV130: $i] :
( ( ( ssList @ ( sK26_SY603 @ SV130 ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1638]) ).
thf(1669,plain,
! [SV130: $i] :
( ( ( ~ ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1670,plain,
! [SV131: $i,SV200: $i,SV176: $i,SV220: $i,SV229: $i] :
( ( ( ~ ( ssList @ SV229 ) )
= $true )
| ( ( ! [SY886: $i] :
( ~ ( ssList @ SY886 )
| ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SV229 ) ) @ ( cons @ SV200 @ SY886 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) ) )
= $true )
| ( ( ssList @ SV220 )
= $false )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1640]) ).
thf(1671,plain,
! [SV221: $i,SV108: $i,SV149: $i,SV57: $i] :
( ( ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV221 ) )
= $false )
| ( ( SV57 = SV108 )
= $true )
| ( ( ssList @ SV221 )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1672,plain,
! [SV222: $i,SV108: $i,SV149: $i,SV57: $i] :
( ( ( frontsegP @ ( cons @ SV57 @ SV149 ) @ ( cons @ SV108 @ SV222 ) )
= $false )
| ( ( frontsegP @ SV149 @ SV222 )
= $true )
| ( ( ssList @ SV222 )
= $false )
| ( ( ssList @ SV149 )
= $false )
| ( ( ssItem @ SV108 )
= $false )
| ( ( ssItem @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1643]) ).
thf(1673,plain,
! [SV109: $i] :
( ( ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1674,plain,
! [SV110: $i,SV194: $i,SV170: $i,SV214: $i,SV223: $i] :
( ( ( ssList @ SV223 )
= $false )
| ( ( ! [SY881: $i] :
( ~ ( ssList @ SY881 )
| ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SV223 ) ) @ ( cons @ SV194 @ SY881 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) ) )
= $true )
| ( ( ssList @ SV214 )
= $false )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1646]) ).
thf(1675,plain,
! [SV111: $i] :
( ( ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 )
| ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1649]) ).
thf(1676,plain,
! [SV112: $i,SV195: $i,SV171: $i,SV215: $i,SV224: $i] :
( ( ( ssList @ SV224 )
= $false )
| ( ( ( ( app @ SV215 @ ( cons @ SV171 @ ( cons @ SV195 @ SV224 ) ) )
!= SV112 )
| ( SV171 = SV195 ) )
= $true )
| ( ( ssList @ SV215 )
= $false )
| ( ( ssItem @ SV195 )
= $false )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1650]) ).
thf(1677,plain,
! [SV113: $i] :
( ( ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1678,plain,
! [SV114: $i,SV196: $i,SV172: $i,SV216: $i,SV225: $i] :
( ( ( ssList @ SV225 )
= $false )
| ( ( ! [SY882: $i] :
( ~ ( ssList @ SY882 )
| ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SV225 ) ) @ ( cons @ SV196 @ SY882 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) ) )
= $true )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1679,plain,
! [SV115: $i] :
( ( ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1655]) ).
thf(1680,plain,
! [SV116: $i,SV197: $i,SV173: $i,SV217: $i,SV226: $i] :
( ( ( ssList @ SV226 )
= $false )
| ( ( ! [SY883: $i] :
( ~ ( ssList @ SY883 )
| ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SV226 ) ) @ ( cons @ SV197 @ SY883 ) )
!= SV116 )
| ( SV173 != SV197 ) ) )
= $true )
| ( ( ssList @ SV217 )
= $false )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1656]) ).
thf(1681,plain,
! [SV117: $i] :
( ( ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1658]) ).
thf(1682,plain,
! [SV118: $i,SV198: $i,SV174: $i,SV218: $i,SV227: $i] :
( ( ( ssList @ SV227 )
= $false )
| ( ( ! [SY884: $i] :
( ~ ( ssList @ SY884 )
| ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SV227 ) ) @ ( cons @ SV198 @ SY884 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) ) )
= $true )
| ( ( ssList @ SV218 )
= $false )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1683,plain,
! [SV127: $i] :
( ( ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1662]) ).
thf(1684,plain,
! [SV128: $i,SV199: $i,SV175: $i,SV219: $i,SV228: $i] :
( ( ( ssList @ SV228 )
= $false )
| ( ( ! [SY885: $i] :
( ~ ( ssList @ SY885 )
| ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SY885 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) ) )
= $true )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1663]) ).
thf(1685,plain,
( ( ( ~ ( neq @ sK1_U @ nil ) )
= $true )
| ( ( ~ ( segmentP @ sK2_SY549 @ sK1_U ) )
= $true )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1664]) ).
thf(1686,plain,
( ( ( ~ ( neq @ sK1_U @ nil ) )
= $true )
| ( ( ~ ( segmentP @ sK2_SY549 @ sK1_U ) )
= $true )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1665]) ).
thf(1687,plain,
( ( ~ ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1666]) ).
thf(1688,plain,
( ( ~ ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1666]) ).
thf(1689,plain,
( ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1667]) ).
thf(1690,plain,
( ( ~ ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1667]) ).
thf(1691,plain,
! [SV130: $i] :
( ( ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) )
| ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1692,plain,
! [SV131: $i,SV200: $i,SV176: $i,SV220: $i,SV229: $i] :
( ( ( ssList @ SV229 )
= $false )
| ( ( ! [SY886: $i] :
( ~ ( ssList @ SY886 )
| ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SV229 ) ) @ ( cons @ SV200 @ SY886 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) ) )
= $true )
| ( ( ssList @ SV220 )
= $false )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1670]) ).
thf(1693,plain,
! [SV109: $i] :
( ( ( ~ ( ssList @ ( sK32_SY615 @ SV109 ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1694,plain,
! [SV109: $i] :
( ( ( ~ ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1695,plain,
! [SV110: $i,SV194: $i,SV223: $i,SV170: $i,SV214: $i,SV230: $i] :
( ( ( ~ ( ssList @ SV230 )
| ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SV223 ) ) @ ( cons @ SV194 @ SV230 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) )
= $true )
| ( ( ssList @ SV223 )
= $false )
| ( ( ssList @ SV214 )
= $false )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(1696,plain,
! [SV111: $i] :
( ( ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
!= SV111 ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1697,plain,
! [SV111: $i] :
( ( ( ~ ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1698,plain,
! [SV112: $i,SV224: $i,SV195: $i,SV171: $i,SV215: $i] :
( ( ( ( ( app @ SV215 @ ( cons @ SV171 @ ( cons @ SV195 @ SV224 ) ) )
!= SV112 ) )
= $true )
| ( ( SV171 = SV195 )
= $true )
| ( ( ssList @ SV224 )
= $false )
| ( ( ssList @ SV215 )
= $false )
| ( ( ssItem @ SV195 )
= $false )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1676]) ).
thf(1699,plain,
! [SV113: $i] :
( ( ( ~ ( ssList @ ( sK37_SY625 @ SV113 ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1677]) ).
thf(1700,plain,
! [SV113: $i] :
( ( ( ~ ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1677]) ).
thf(1701,plain,
! [SV114: $i,SV196: $i,SV225: $i,SV172: $i,SV216: $i,SV231: $i] :
( ( ( ~ ( ssList @ SV231 )
| ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SV225 ) ) @ ( cons @ SV196 @ SV231 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) )
= $true )
| ( ( ssList @ SV225 )
= $false )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(1702,plain,
! [SV115: $i] :
( ( ( ~ ( ssList @ ( sK17_SY585 @ SV115 ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1703,plain,
! [SV115: $i] :
( ( ( ~ ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1704,plain,
! [SV116: $i,SV197: $i,SV226: $i,SV173: $i,SV217: $i,SV232: $i] :
( ( ( ~ ( ssList @ SV232 )
| ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SV226 ) ) @ ( cons @ SV197 @ SV232 ) )
!= SV116 )
| ( SV173 != SV197 ) )
= $true )
| ( ( ssList @ SV226 )
= $false )
| ( ( ssList @ SV217 )
= $false )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(1705,plain,
! [SV117: $i] :
( ( ( ~ ( ssList @ ( sK22_SY595 @ SV117 ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1681]) ).
thf(1706,plain,
! [SV117: $i] :
( ( ( ~ ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1681]) ).
thf(1707,plain,
! [SV118: $i,SV198: $i,SV227: $i,SV174: $i,SV218: $i,SV233: $i] :
( ( ( ~ ( ssList @ SV233 )
| ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SV227 ) ) @ ( cons @ SV198 @ SV233 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) )
= $true )
| ( ( ssList @ SV227 )
= $false )
| ( ( ssList @ SV218 )
= $false )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(1708,plain,
! [SV127: $i] :
( ( ( ~ ( ssList @ ( sK42_SY635 @ SV127 ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1683]) ).
thf(1709,plain,
! [SV127: $i] :
( ( ( ~ ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1683]) ).
thf(1710,plain,
! [SV128: $i,SV199: $i,SV228: $i,SV175: $i,SV219: $i,SV234: $i] :
( ( ( ~ ( ssList @ SV234 )
| ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SV234 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) )
= $true )
| ( ( ssList @ SV228 )
= $false )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1684]) ).
thf(1711,plain,
( ( ( neq @ sK1_U @ nil )
= $false )
| ( ( ~ ( segmentP @ sK2_SY549 @ sK1_U ) )
= $true )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1712,plain,
( ( ( neq @ sK1_U @ nil )
= $false )
| ( ( ~ ( segmentP @ sK2_SY549 @ sK1_U ) )
= $true )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1713,plain,
( ( ( neq @ sK2_SY549 @ nil )
| ( neq @ sK2_SY549 @ nil ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1714,plain,
( ( ( neq @ sK2_SY549 @ nil )
| ~ ( neq @ sK4_SY560 @ nil ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1715,plain,
( ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ( neq @ sK2_SY549 @ nil ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1716,plain,
( ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
| ~ ( neq @ sK4_SY560 @ nil ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1690]) ).
thf(1717,plain,
! [SV130: $i] :
( ( ( ~ ( ssList @ ( sK27_SY605 @ SV130 ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1718,plain,
! [SV130: $i] :
( ( ( ~ ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1719,plain,
! [SV131: $i,SV200: $i,SV229: $i,SV176: $i,SV220: $i,SV235: $i] :
( ( ( ~ ( ssList @ SV235 )
| ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SV229 ) ) @ ( cons @ SV200 @ SV235 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) )
= $true )
| ( ( ssList @ SV229 )
= $false )
| ( ( ssList @ SV220 )
= $false )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(1720,plain,
! [SV109: $i] :
( ( ( ssList @ ( sK32_SY615 @ SV109 ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1693]) ).
thf(1721,plain,
! [SV109: $i] :
( ( ( ~ ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1694]) ).
thf(1722,plain,
! [SV110: $i,SV194: $i,SV223: $i,SV170: $i,SV214: $i,SV230: $i] :
( ( ( ~ ( ssList @ SV230 ) )
= $true )
| ( ( ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SV223 ) ) @ ( cons @ SV194 @ SV230 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) )
= $true )
| ( ( ssList @ SV223 )
= $false )
| ( ( ssList @ SV214 )
= $false )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1695]) ).
thf(1723,plain,
! [SV111: $i] :
( ( ( ( app @ ( sK11_SY573 @ SV111 ) @ ( cons @ ( sK9_V @ SV111 ) @ ( cons @ ( sK10_SY570 @ SV111 ) @ ( sK12_SY575 @ SV111 ) ) ) )
= SV111 )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1696]) ).
thf(1724,plain,
! [SV111: $i] :
( ( ( ( ( sK9_V @ SV111 )
!= ( sK10_SY570 @ SV111 ) ) )
= $true )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1725,plain,
! [SV112: $i,SV224: $i,SV195: $i,SV171: $i,SV215: $i] :
( ( ( ( app @ SV215 @ ( cons @ SV171 @ ( cons @ SV195 @ SV224 ) ) )
= SV112 )
= $false )
| ( ( SV171 = SV195 )
= $true )
| ( ( ssList @ SV224 )
= $false )
| ( ( ssList @ SV215 )
= $false )
| ( ( ssItem @ SV195 )
= $false )
| ( ( ssItem @ SV171 )
= $false )
| ( ( equalelemsP @ SV112 )
= $false )
| ( ( ssList @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1726,plain,
! [SV113: $i] :
( ( ( ssList @ ( sK37_SY625 @ SV113 ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1699]) ).
thf(1727,plain,
! [SV113: $i] :
( ( ( ~ ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1700]) ).
thf(1728,plain,
! [SV114: $i,SV196: $i,SV225: $i,SV172: $i,SV216: $i,SV231: $i] :
( ( ( ~ ( ssList @ SV231 ) )
= $true )
| ( ( ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SV225 ) ) @ ( cons @ SV196 @ SV231 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) )
= $true )
| ( ( ssList @ SV225 )
= $false )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1701]) ).
thf(1729,plain,
! [SV115: $i] :
( ( ( ssList @ ( sK17_SY585 @ SV115 ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1730,plain,
! [SV115: $i] :
( ( ( ~ ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1703]) ).
thf(1731,plain,
! [SV116: $i,SV197: $i,SV226: $i,SV173: $i,SV217: $i,SV232: $i] :
( ( ( ~ ( ssList @ SV232 ) )
= $true )
| ( ( ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SV226 ) ) @ ( cons @ SV197 @ SV232 ) )
!= SV116 )
| ( SV173 != SV197 ) )
= $true )
| ( ( ssList @ SV226 )
= $false )
| ( ( ssList @ SV217 )
= $false )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1704]) ).
thf(1732,plain,
! [SV117: $i] :
( ( ( ssList @ ( sK22_SY595 @ SV117 ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1733,plain,
! [SV117: $i] :
( ( ( ~ ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1706]) ).
thf(1734,plain,
! [SV118: $i,SV198: $i,SV227: $i,SV174: $i,SV218: $i,SV233: $i] :
( ( ( ~ ( ssList @ SV233 ) )
= $true )
| ( ( ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SV227 ) ) @ ( cons @ SV198 @ SV233 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) )
= $true )
| ( ( ssList @ SV227 )
= $false )
| ( ( ssList @ SV218 )
= $false )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1707]) ).
thf(1735,plain,
! [SV127: $i] :
( ( ( ssList @ ( sK42_SY635 @ SV127 ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1708]) ).
thf(1736,plain,
! [SV127: $i] :
( ( ( ~ ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1709]) ).
thf(1737,plain,
! [SV128: $i,SV199: $i,SV228: $i,SV175: $i,SV219: $i,SV234: $i] :
( ( ( ~ ( ssList @ SV234 ) )
= $true )
| ( ( ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SV234 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) )
= $true )
| ( ( ssList @ SV228 )
= $false )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1710]) ).
thf(1738,plain,
( ( ( segmentP @ sK2_SY549 @ sK1_U )
= $false )
| ( ( neq @ sK1_U @ nil )
= $false )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1711]) ).
thf(1739,plain,
( ( ( segmentP @ sK2_SY549 @ sK1_U )
= $false )
| ( ( neq @ sK1_U @ nil )
= $false )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1740,plain,
( ( ( neq @ sK2_SY549 @ nil )
= $true )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1713]) ).
thf(1741,plain,
( ( ( neq @ sK2_SY549 @ nil )
= $true )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1714]) ).
thf(1742,plain,
( ( ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) ) )
= $true )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1715]) ).
thf(1743,plain,
( ( ( ! [SX0: $i] :
( ( sK4_SY560 = SX0 )
| ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ( ( tl @ sK4_SY560 )
!= SX1 )
| ~ ( ssList @ SX1 )
| ( ( app @ sK3_SY554 @ SX1 )
!= SX0 ) )
| ~ ( neq @ nil @ sK4_SY560 ) ) )
= $true )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1744,plain,
! [SV130: $i] :
( ( ( ssList @ ( sK27_SY605 @ SV130 ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1717]) ).
thf(1745,plain,
! [SV130: $i] :
( ( ( ~ ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1718]) ).
thf(1746,plain,
! [SV131: $i,SV200: $i,SV229: $i,SV176: $i,SV220: $i,SV235: $i] :
( ( ( ~ ( ssList @ SV235 ) )
= $true )
| ( ( ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SV229 ) ) @ ( cons @ SV200 @ SV235 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) )
= $true )
| ( ( ssList @ SV229 )
= $false )
| ( ( ssList @ SV220 )
= $false )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1719]) ).
thf(1747,plain,
! [SV109: $i] :
( ( ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 )
| ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1721]) ).
thf(1748,plain,
! [SV110: $i,SV194: $i,SV223: $i,SV170: $i,SV214: $i,SV230: $i] :
( ( ( ssList @ SV230 )
= $false )
| ( ( ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SV223 ) ) @ ( cons @ SV194 @ SV230 ) )
!= SV110 )
| ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) )
= $true )
| ( ( ssList @ SV223 )
= $false )
| ( ( ssList @ SV214 )
= $false )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1749,plain,
! [SV111: $i] :
( ( ( ( sK9_V @ SV111 )
= ( sK10_SY570 @ SV111 ) )
= $false )
| ( ( equalelemsP @ SV111 )
= $true )
| ( ( ssList @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1750,plain,
! [SV113: $i] :
( ( ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 )
| ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1751,plain,
! [SV114: $i,SV196: $i,SV225: $i,SV172: $i,SV216: $i,SV231: $i] :
( ( ( ssList @ SV231 )
= $false )
| ( ( ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SV225 ) ) @ ( cons @ SV196 @ SV231 ) )
!= SV114 )
| ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) )
= $true )
| ( ( ssList @ SV225 )
= $false )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1752,plain,
! [SV115: $i] :
( ( ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 )
| ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1730]) ).
thf(1753,plain,
! [SV116: $i,SV197: $i,SV226: $i,SV173: $i,SV217: $i,SV232: $i] :
( ( ( ssList @ SV232 )
= $false )
| ( ( ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SV226 ) ) @ ( cons @ SV197 @ SV232 ) )
!= SV116 )
| ( SV173 != SV197 ) )
= $true )
| ( ( ssList @ SV226 )
= $false )
| ( ( ssList @ SV217 )
= $false )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1754,plain,
! [SV117: $i] :
( ( ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 )
| ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1733]) ).
thf(1755,plain,
! [SV118: $i,SV198: $i,SV227: $i,SV174: $i,SV218: $i,SV233: $i] :
( ( ( ssList @ SV233 )
= $false )
| ( ( ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SV227 ) ) @ ( cons @ SV198 @ SV233 ) )
!= SV118 )
| ( lt @ SV174 @ SV198 ) )
= $true )
| ( ( ssList @ SV227 )
= $false )
| ( ( ssList @ SV218 )
= $false )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1734]) ).
thf(1756,plain,
! [SV127: $i] :
( ( ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 )
| ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1736]) ).
thf(1757,plain,
! [SV128: $i,SV199: $i,SV228: $i,SV175: $i,SV219: $i,SV234: $i] :
( ( ( ssList @ SV234 )
= $false )
| ( ( ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SV234 ) )
!= SV128 )
| ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) )
= $true )
| ( ( ssList @ SV228 )
= $false )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1737]) ).
thf(1758,plain,
( ( ( neq @ sK4_SY560 @ nil )
= $false )
| ( ( neq @ sK1_U @ nil )
= $false )
| ( ( segmentP @ sK2_SY549 @ sK1_U )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1739]) ).
thf(1759,plain,
( ( ( neq @ sK4_SY560 @ nil )
= $false )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1760,plain,
! [SV236: $i] :
( ( ( ( sK4_SY560 = SV236 )
| ~ ( ssList @ SV236 )
| ! [SY887: $i] :
( ( ( tl @ sK4_SY560 )
!= SY887 )
| ~ ( ssList @ SY887 )
| ( ( app @ sK3_SY554 @ SY887 )
!= SV236 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1742]) ).
thf(1761,plain,
! [SV237: $i] :
( ( ( ( sK4_SY560 = SV237 )
| ~ ( ssList @ SV237 )
| ! [SY888: $i] :
( ( ( tl @ sK4_SY560 )
!= SY888 )
| ~ ( ssList @ SY888 )
| ( ( app @ sK3_SY554 @ SY888 )
!= SV237 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(1762,plain,
! [SV130: $i] :
( ( ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 )
| ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1763,plain,
! [SV131: $i,SV200: $i,SV229: $i,SV176: $i,SV220: $i,SV235: $i] :
( ( ( ssList @ SV235 )
= $false )
| ( ( ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SV229 ) ) @ ( cons @ SV200 @ SV235 ) )
!= SV131 )
| ( leq @ SV176 @ SV200 ) )
= $true )
| ( ( ssList @ SV229 )
= $false )
| ( ( ssList @ SV220 )
= $false )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1764,plain,
! [SV109: $i] :
( ( ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
!= SV109 ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1747]) ).
thf(1765,plain,
! [SV109: $i] :
( ( ( ~ ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1747]) ).
thf(1766,plain,
! [SV110: $i,SV230: $i,SV194: $i,SV223: $i,SV170: $i,SV214: $i] :
( ( ( ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SV223 ) ) @ ( cons @ SV194 @ SV230 ) )
!= SV110 ) )
= $true )
| ( ( ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) )
= $true )
| ( ( ssList @ SV230 )
= $false )
| ( ( ssList @ SV223 )
= $false )
| ( ( ssList @ SV214 )
= $false )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1748]) ).
thf(1767,plain,
! [SV113: $i] :
( ( ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
!= SV113 ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1750]) ).
thf(1768,plain,
! [SV113: $i] :
( ( ( ~ ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1750]) ).
thf(1769,plain,
! [SV114: $i,SV231: $i,SV196: $i,SV225: $i,SV172: $i,SV216: $i] :
( ( ( ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SV225 ) ) @ ( cons @ SV196 @ SV231 ) )
!= SV114 ) )
= $true )
| ( ( ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) )
= $true )
| ( ( ssList @ SV231 )
= $false )
| ( ( ssList @ SV225 )
= $false )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1751]) ).
thf(1770,plain,
! [SV115: $i] :
( ( ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
!= SV115 ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1752]) ).
thf(1771,plain,
! [SV115: $i] :
( ( ( ( ( sK13_V @ SV115 )
!= ( sK14_SY576 @ SV115 ) ) )
= $false )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1752]) ).
thf(1772,plain,
! [SV116: $i,SV232: $i,SV197: $i,SV226: $i,SV173: $i,SV217: $i] :
( ( ( ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SV226 ) ) @ ( cons @ SV197 @ SV232 ) )
!= SV116 ) )
= $true )
| ( ( ( SV173 != SV197 ) )
= $true )
| ( ( ssList @ SV232 )
= $false )
| ( ( ssList @ SV226 )
= $false )
| ( ( ssList @ SV217 )
= $false )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1753]) ).
thf(1773,plain,
! [SV117: $i] :
( ( ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
!= SV117 ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1754]) ).
thf(1774,plain,
! [SV117: $i] :
( ( ( ~ ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1754]) ).
thf(1775,plain,
! [SV118: $i,SV233: $i,SV198: $i,SV227: $i,SV174: $i,SV218: $i] :
( ( ( ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SV227 ) ) @ ( cons @ SV198 @ SV233 ) )
!= SV118 ) )
= $true )
| ( ( lt @ SV174 @ SV198 )
= $true )
| ( ( ssList @ SV233 )
= $false )
| ( ( ssList @ SV227 )
= $false )
| ( ( ssList @ SV218 )
= $false )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1755]) ).
thf(1776,plain,
! [SV127: $i] :
( ( ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
!= SV127 ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1756]) ).
thf(1777,plain,
! [SV127: $i] :
( ( ( ~ ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1756]) ).
thf(1778,plain,
! [SV128: $i,SV234: $i,SV199: $i,SV228: $i,SV175: $i,SV219: $i] :
( ( ( ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SV234 ) )
!= SV128 ) )
= $true )
| ( ( ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) )
= $true )
| ( ( ssList @ SV234 )
= $false )
| ( ( ssList @ SV228 )
= $false )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1757]) ).
thf(1779,plain,
! [SV236: $i] :
( ( ( ( sK4_SY560 = SV236 )
| ~ ( ssList @ SV236 ) )
= $true )
| ( ( ! [SY887: $i] :
( ( ( tl @ sK4_SY560 )
!= SY887 )
| ~ ( ssList @ SY887 )
| ( ( app @ sK3_SY554 @ SY887 )
!= SV236 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1760]) ).
thf(1780,plain,
! [SV237: $i] :
( ( ( ( sK4_SY560 = SV237 )
| ~ ( ssList @ SV237 ) )
= $true )
| ( ( ! [SY888: $i] :
( ( ( tl @ sK4_SY560 )
!= SY888 )
| ~ ( ssList @ SY888 )
| ( ( app @ sK3_SY554 @ SY888 )
!= SV237 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1761]) ).
thf(1781,plain,
! [SV130: $i] :
( ( ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
!= SV130 ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1762]) ).
thf(1782,plain,
! [SV130: $i] :
( ( ( ~ ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1762]) ).
thf(1783,plain,
! [SV131: $i,SV235: $i,SV200: $i,SV229: $i,SV176: $i,SV220: $i] :
( ( ( ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SV229 ) ) @ ( cons @ SV200 @ SV235 ) )
!= SV131 ) )
= $true )
| ( ( leq @ SV176 @ SV200 )
= $true )
| ( ( ssList @ SV235 )
= $false )
| ( ( ssList @ SV229 )
= $false )
| ( ( ssList @ SV220 )
= $false )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1763]) ).
thf(1784,plain,
! [SV109: $i] :
( ( ( ( app @ ( app @ ( sK30_SY610 @ SV109 ) @ ( cons @ ( sK28_V @ SV109 ) @ ( sK31_SY613 @ SV109 ) ) ) @ ( cons @ ( sK29_SY606 @ SV109 ) @ ( sK32_SY615 @ SV109 ) ) )
= SV109 )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1785,plain,
! [SV109: $i] :
( ( ( ~ ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1786,plain,
! [SV110: $i,SV230: $i,SV194: $i,SV223: $i,SV170: $i,SV214: $i] :
( ( ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SV223 ) ) @ ( cons @ SV194 @ SV230 ) )
= SV110 )
= $false )
| ( ( ( lt @ SV170 @ SV194 )
| ( lt @ SV194 @ SV170 ) )
= $true )
| ( ( ssList @ SV230 )
= $false )
| ( ( ssList @ SV223 )
= $false )
| ( ( ssList @ SV214 )
= $false )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1766]) ).
thf(1787,plain,
! [SV113: $i] :
( ( ( ( app @ ( app @ ( sK35_SY620 @ SV113 ) @ ( cons @ ( sK33_V @ SV113 ) @ ( sK36_SY623 @ SV113 ) ) ) @ ( cons @ ( sK34_SY616 @ SV113 ) @ ( sK37_SY625 @ SV113 ) ) )
= SV113 )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1767]) ).
thf(1788,plain,
! [SV113: $i] :
( ( ( ~ ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1768]) ).
thf(1789,plain,
! [SV114: $i,SV231: $i,SV196: $i,SV225: $i,SV172: $i,SV216: $i] :
( ( ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SV225 ) ) @ ( cons @ SV196 @ SV231 ) )
= SV114 )
= $false )
| ( ( ( leq @ SV172 @ SV196 )
| ( leq @ SV196 @ SV172 ) )
= $true )
| ( ( ssList @ SV231 )
= $false )
| ( ( ssList @ SV225 )
= $false )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1769]) ).
thf(1790,plain,
! [SV115: $i] :
( ( ( ( app @ ( app @ ( sK15_SY580 @ SV115 ) @ ( cons @ ( sK13_V @ SV115 ) @ ( sK16_SY583 @ SV115 ) ) ) @ ( cons @ ( sK14_SY576 @ SV115 ) @ ( sK17_SY585 @ SV115 ) ) )
= SV115 )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1791,plain,
! [SV115: $i] :
( ( ( ( sK13_V @ SV115 )
= ( sK14_SY576 @ SV115 ) )
= $true )
| ( ( duplicatefreeP @ SV115 )
= $true )
| ( ( ssList @ SV115 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1771]) ).
thf(1792,plain,
! [SV116: $i,SV232: $i,SV197: $i,SV226: $i,SV173: $i,SV217: $i] :
( ( ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SV226 ) ) @ ( cons @ SV197 @ SV232 ) )
= SV116 )
= $false )
| ( ( ( SV173 != SV197 ) )
= $true )
| ( ( ssList @ SV232 )
= $false )
| ( ( ssList @ SV226 )
= $false )
| ( ( ssList @ SV217 )
= $false )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1772]) ).
thf(1793,plain,
! [SV117: $i] :
( ( ( ( app @ ( app @ ( sK20_SY590 @ SV117 ) @ ( cons @ ( sK18_V @ SV117 ) @ ( sK21_SY593 @ SV117 ) ) ) @ ( cons @ ( sK19_SY586 @ SV117 ) @ ( sK22_SY595 @ SV117 ) ) )
= SV117 )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1794,plain,
! [SV117: $i] :
( ( ( ~ ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) ) )
= $true )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1795,plain,
! [SV118: $i,SV233: $i,SV198: $i,SV227: $i,SV174: $i,SV218: $i] :
( ( ( ( app @ ( app @ SV218 @ ( cons @ SV174 @ SV227 ) ) @ ( cons @ SV198 @ SV233 ) )
= SV118 )
= $false )
| ( ( lt @ SV174 @ SV198 )
= $true )
| ( ( ssList @ SV233 )
= $false )
| ( ( ssList @ SV227 )
= $false )
| ( ( ssList @ SV218 )
= $false )
| ( ( ssItem @ SV198 )
= $false )
| ( ( ssItem @ SV174 )
= $false )
| ( ( strictorderedP @ SV118 )
= $false )
| ( ( ssList @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(1796,plain,
! [SV127: $i] :
( ( ( ( app @ ( app @ ( sK40_SY630 @ SV127 ) @ ( cons @ ( sK38_V @ SV127 ) @ ( sK41_SY633 @ SV127 ) ) ) @ ( cons @ ( sK39_SY626 @ SV127 ) @ ( sK42_SY635 @ SV127 ) ) )
= SV127 )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1776]) ).
thf(1797,plain,
! [SV127: $i] :
( ( ( ~ ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(1798,plain,
! [SV128: $i,SV234: $i,SV199: $i,SV228: $i,SV175: $i,SV219: $i] :
( ( ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SV234 ) )
= SV128 )
= $false )
| ( ( ~ ( leq @ SV175 @ SV199 )
| ~ ( leq @ SV199 @ SV175 ) )
= $true )
| ( ( ssList @ SV234 )
= $false )
| ( ( ssList @ SV228 )
= $false )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1778]) ).
thf(1799,plain,
! [SV236: $i] :
( ( ( sK4_SY560 = SV236 )
= $true )
| ( ( ~ ( ssList @ SV236 ) )
= $true )
| ( ( ! [SY887: $i] :
( ( ( tl @ sK4_SY560 )
!= SY887 )
| ~ ( ssList @ SY887 )
| ( ( app @ sK3_SY554 @ SY887 )
!= SV236 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1779]) ).
thf(1800,plain,
! [SV237: $i] :
( ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ~ ( ssList @ SV237 ) )
= $true )
| ( ( ! [SY888: $i] :
( ( ( tl @ sK4_SY560 )
!= SY888 )
| ~ ( ssList @ SY888 )
| ( ( app @ sK3_SY554 @ SY888 )
!= SV237 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1780]) ).
thf(1801,plain,
! [SV130: $i] :
( ( ( ( app @ ( app @ ( sK25_SY600 @ SV130 ) @ ( cons @ ( sK23_V @ SV130 ) @ ( sK26_SY603 @ SV130 ) ) ) @ ( cons @ ( sK24_SY596 @ SV130 ) @ ( sK27_SY605 @ SV130 ) ) )
= SV130 )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1781]) ).
thf(1802,plain,
! [SV130: $i] :
( ( ( ~ ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) ) )
= $true )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(1803,plain,
! [SV131: $i,SV235: $i,SV200: $i,SV229: $i,SV176: $i,SV220: $i] :
( ( ( ( app @ ( app @ SV220 @ ( cons @ SV176 @ SV229 ) ) @ ( cons @ SV200 @ SV235 ) )
= SV131 )
= $false )
| ( ( leq @ SV176 @ SV200 )
= $true )
| ( ( ssList @ SV235 )
= $false )
| ( ( ssList @ SV229 )
= $false )
| ( ( ssList @ SV220 )
= $false )
| ( ( ssItem @ SV200 )
= $false )
| ( ( ssItem @ SV176 )
= $false )
| ( ( totalorderedP @ SV131 )
= $false )
| ( ( ssList @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1783]) ).
thf(1804,plain,
! [SV109: $i] :
( ( ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
| ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1785]) ).
thf(1805,plain,
! [SV110: $i,SV230: $i,SV223: $i,SV214: $i,SV194: $i,SV170: $i] :
( ( ( lt @ SV170 @ SV194 )
= $true )
| ( ( lt @ SV194 @ SV170 )
= $true )
| ( ( ( app @ ( app @ SV214 @ ( cons @ SV170 @ SV223 ) ) @ ( cons @ SV194 @ SV230 ) )
= SV110 )
= $false )
| ( ( ssList @ SV230 )
= $false )
| ( ( ssList @ SV223 )
= $false )
| ( ( ssList @ SV214 )
= $false )
| ( ( ssItem @ SV194 )
= $false )
| ( ( ssItem @ SV170 )
= $false )
| ( ( strictorderP @ SV110 )
= $false )
| ( ( ssList @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1786]) ).
thf(1806,plain,
! [SV113: $i] :
( ( ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
| ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1807,plain,
! [SV114: $i,SV231: $i,SV225: $i,SV216: $i,SV196: $i,SV172: $i] :
( ( ( leq @ SV172 @ SV196 )
= $true )
| ( ( leq @ SV196 @ SV172 )
= $true )
| ( ( ( app @ ( app @ SV216 @ ( cons @ SV172 @ SV225 ) ) @ ( cons @ SV196 @ SV231 ) )
= SV114 )
= $false )
| ( ( ssList @ SV231 )
= $false )
| ( ( ssList @ SV225 )
= $false )
| ( ( ssList @ SV216 )
= $false )
| ( ( ssItem @ SV196 )
= $false )
| ( ( ssItem @ SV172 )
= $false )
| ( ( totalorderP @ SV114 )
= $false )
| ( ( ssList @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1789]) ).
thf(1808,plain,
! [SV116: $i,SV232: $i,SV226: $i,SV217: $i,SV197: $i,SV173: $i] :
( ( ( SV173 = SV197 )
= $false )
| ( ( ( app @ ( app @ SV217 @ ( cons @ SV173 @ SV226 ) ) @ ( cons @ SV197 @ SV232 ) )
= SV116 )
= $false )
| ( ( ssList @ SV232 )
= $false )
| ( ( ssList @ SV226 )
= $false )
| ( ( ssList @ SV217 )
= $false )
| ( ( ssItem @ SV197 )
= $false )
| ( ( ssItem @ SV173 )
= $false )
| ( ( duplicatefreeP @ SV116 )
= $false )
| ( ( ssList @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1792]) ).
thf(1809,plain,
! [SV117: $i] :
( ( ( lt @ ( sK18_V @ SV117 ) @ ( sK19_SY586 @ SV117 ) )
= $false )
| ( ( strictorderedP @ SV117 )
= $true )
| ( ( ssList @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1794]) ).
thf(1810,plain,
! [SV127: $i] :
( ( ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
| ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1797]) ).
thf(1811,plain,
! [SV128: $i,SV234: $i,SV228: $i,SV219: $i,SV199: $i,SV175: $i] :
( ( ( ~ ( leq @ SV175 @ SV199 ) )
= $true )
| ( ( ~ ( leq @ SV199 @ SV175 ) )
= $true )
| ( ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SV234 ) )
= SV128 )
= $false )
| ( ( ssList @ SV234 )
= $false )
| ( ( ssList @ SV228 )
= $false )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1798]) ).
thf(1812,plain,
! [SV236: $i] :
( ( ( ssList @ SV236 )
= $false )
| ( ( sK4_SY560 = SV236 )
= $true )
| ( ( ! [SY887: $i] :
( ( ( tl @ sK4_SY560 )
!= SY887 )
| ~ ( ssList @ SY887 )
| ( ( app @ sK3_SY554 @ SY887 )
!= SV236 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1799]) ).
thf(1813,plain,
! [SV237: $i] :
( ( ( ssList @ SV237 )
= $false )
| ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ! [SY888: $i] :
( ( ( tl @ sK4_SY560 )
!= SY888 )
| ~ ( ssList @ SY888 )
| ( ( app @ sK3_SY554 @ SY888 )
!= SV237 ) )
| ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1800]) ).
thf(1814,plain,
! [SV130: $i] :
( ( ( leq @ ( sK23_V @ SV130 ) @ ( sK24_SY596 @ SV130 ) )
= $false )
| ( ( totalorderedP @ SV130 )
= $true )
| ( ( ssList @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1802]) ).
thf(1815,plain,
! [SV109: $i] :
( ( ( ~ ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1804]) ).
thf(1816,plain,
! [SV109: $i] :
( ( ( ~ ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1804]) ).
thf(1817,plain,
! [SV113: $i] :
( ( ( ~ ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1806]) ).
thf(1818,plain,
! [SV113: $i] :
( ( ( ~ ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1806]) ).
thf(1819,plain,
! [SV127: $i] :
( ( ( ~ ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1810]) ).
thf(1820,plain,
! [SV127: $i] :
( ( ( ~ ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) ) )
= $false )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1810]) ).
thf(1821,plain,
! [SV128: $i,SV234: $i,SV228: $i,SV219: $i,SV199: $i,SV175: $i] :
( ( ( leq @ SV175 @ SV199 )
= $false )
| ( ( ~ ( leq @ SV199 @ SV175 ) )
= $true )
| ( ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SV234 ) )
= SV128 )
= $false )
| ( ( ssList @ SV234 )
= $false )
| ( ( ssList @ SV228 )
= $false )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1811]) ).
thf(1822,plain,
! [SV236: $i] :
( ( ( ! [SY887: $i] :
( ( ( tl @ sK4_SY560 )
!= SY887 )
| ~ ( ssList @ SY887 )
| ( ( app @ sK3_SY554 @ SY887 )
!= SV236 ) ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV236 )
= $true )
| ( ( ssList @ SV236 )
= $false )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1812]) ).
thf(1823,plain,
! [SV237: $i] :
( ( ( ! [SY888: $i] :
( ( ( tl @ sK4_SY560 )
!= SY888 )
| ~ ( ssList @ SY888 )
| ( ( app @ sK3_SY554 @ SY888 )
!= SV237 ) ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ssList @ SV237 )
= $false )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1813]) ).
thf(1824,plain,
! [SV109: $i] :
( ( ( ~ ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1815]) ).
thf(1825,plain,
! [SV109: $i] :
( ( ( ~ ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) ) )
= $true )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1816]) ).
thf(1826,plain,
! [SV113: $i] :
( ( ( ~ ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1817]) ).
thf(1827,plain,
! [SV113: $i] :
( ( ( ~ ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) ) )
= $true )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1818]) ).
thf(1828,plain,
! [SV127: $i] :
( ( ( leq @ ( sK38_V @ SV127 ) @ ( sK39_SY626 @ SV127 ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1819]) ).
thf(1829,plain,
! [SV127: $i] :
( ( ( leq @ ( sK39_SY626 @ SV127 ) @ ( sK38_V @ SV127 ) )
= $true )
| ( ( cyclefreeP @ SV127 )
= $true )
| ( ( ssList @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1820]) ).
thf(1830,plain,
! [SV128: $i,SV234: $i,SV228: $i,SV219: $i,SV175: $i,SV199: $i] :
( ( ( leq @ SV199 @ SV175 )
= $false )
| ( ( leq @ SV175 @ SV199 )
= $false )
| ( ( ( app @ ( app @ SV219 @ ( cons @ SV175 @ SV228 ) ) @ ( cons @ SV199 @ SV234 ) )
= SV128 )
= $false )
| ( ( ssList @ SV234 )
= $false )
| ( ( ssList @ SV228 )
= $false )
| ( ( ssList @ SV219 )
= $false )
| ( ( ssItem @ SV199 )
= $false )
| ( ( ssItem @ SV175 )
= $false )
| ( ( cyclefreeP @ SV128 )
= $false )
| ( ( ssList @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1821]) ).
thf(1831,plain,
! [SV236: $i,SV238: $i] :
( ( ( ( ( tl @ sK4_SY560 )
!= SV238 )
| ~ ( ssList @ SV238 )
| ( ( app @ sK3_SY554 @ SV238 )
!= SV236 ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV236 )
= $true )
| ( ( ssList @ SV236 )
= $false )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1822]) ).
thf(1832,plain,
! [SV237: $i,SV239: $i] :
( ( ( ( ( tl @ sK4_SY560 )
!= SV239 )
| ~ ( ssList @ SV239 )
| ( ( app @ sK3_SY554 @ SV239 )
!= SV237 ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ssList @ SV237 )
= $false )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1823]) ).
thf(1833,plain,
! [SV109: $i] :
( ( ( lt @ ( sK28_V @ SV109 ) @ ( sK29_SY606 @ SV109 ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1834,plain,
! [SV109: $i] :
( ( ( lt @ ( sK29_SY606 @ SV109 ) @ ( sK28_V @ SV109 ) )
= $false )
| ( ( strictorderP @ SV109 )
= $true )
| ( ( ssList @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1825]) ).
thf(1835,plain,
! [SV113: $i] :
( ( ( leq @ ( sK33_V @ SV113 ) @ ( sK34_SY616 @ SV113 ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(1836,plain,
! [SV113: $i] :
( ( ( leq @ ( sK34_SY616 @ SV113 ) @ ( sK33_V @ SV113 ) )
= $false )
| ( ( totalorderP @ SV113 )
= $true )
| ( ( ssList @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1827]) ).
thf(1837,plain,
! [SV236: $i,SV238: $i] :
( ( ( ( ( tl @ sK4_SY560 )
!= SV238 )
| ~ ( ssList @ SV238 ) )
= $true )
| ( ( ( ( app @ sK3_SY554 @ SV238 )
!= SV236 ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV236 )
= $true )
| ( ( ssList @ SV236 )
= $false )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1831]) ).
thf(1838,plain,
! [SV237: $i,SV239: $i] :
( ( ( ( ( tl @ sK4_SY560 )
!= SV239 )
| ~ ( ssList @ SV239 ) )
= $true )
| ( ( ( ( app @ sK3_SY554 @ SV239 )
!= SV237 ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ssList @ SV237 )
= $false )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1832]) ).
thf(1839,plain,
! [SV236: $i,SV238: $i] :
( ( ( ( ( tl @ sK4_SY560 )
!= SV238 ) )
= $true )
| ( ( ~ ( ssList @ SV238 ) )
= $true )
| ( ( ( ( app @ sK3_SY554 @ SV238 )
!= SV236 ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV236 )
= $true )
| ( ( ssList @ SV236 )
= $false )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1837]) ).
thf(1840,plain,
! [SV237: $i,SV239: $i] :
( ( ( ( ( tl @ sK4_SY560 )
!= SV239 ) )
= $true )
| ( ( ~ ( ssList @ SV239 ) )
= $true )
| ( ( ( ( app @ sK3_SY554 @ SV239 )
!= SV237 ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ssList @ SV237 )
= $false )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1838]) ).
thf(1841,plain,
! [SV236: $i,SV238: $i] :
( ( ( ( tl @ sK4_SY560 )
= SV238 )
= $false )
| ( ( ~ ( ssList @ SV238 ) )
= $true )
| ( ( ( ( app @ sK3_SY554 @ SV238 )
!= SV236 ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV236 )
= $true )
| ( ( ssList @ SV236 )
= $false )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1842,plain,
! [SV237: $i,SV239: $i] :
( ( ( ( tl @ sK4_SY560 )
= SV239 )
= $false )
| ( ( ~ ( ssList @ SV239 ) )
= $true )
| ( ( ( ( app @ sK3_SY554 @ SV239 )
!= SV237 ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ssList @ SV237 )
= $false )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1840]) ).
thf(1843,plain,
! [SV236: $i,SV238: $i] :
( ( ( ssList @ SV238 )
= $false )
| ( ( ( tl @ sK4_SY560 )
= SV238 )
= $false )
| ( ( ( ( app @ sK3_SY554 @ SV238 )
!= SV236 ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV236 )
= $true )
| ( ( ssList @ SV236 )
= $false )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1844,plain,
! [SV237: $i,SV239: $i] :
( ( ( ssList @ SV239 )
= $false )
| ( ( ( tl @ sK4_SY560 )
= SV239 )
= $false )
| ( ( ( ( app @ sK3_SY554 @ SV239 )
!= SV237 ) )
= $true )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ssList @ SV237 )
= $false )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(1845,plain,
! [SV236: $i,SV238: $i] :
( ( ( ( app @ sK3_SY554 @ SV238 )
= SV236 )
= $false )
| ( ( ( tl @ sK4_SY560 )
= SV238 )
= $false )
| ( ( ssList @ SV238 )
= $false )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV236 )
= $true )
| ( ( ssList @ SV236 )
= $false )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1843]) ).
thf(1846,plain,
! [SV237: $i,SV239: $i] :
( ( ( ( app @ sK3_SY554 @ SV239 )
= SV237 )
= $false )
| ( ( ( tl @ sK4_SY560 )
= SV239 )
= $false )
| ( ( ssList @ SV239 )
= $false )
| ( ( ~ ( neq @ nil @ sK4_SY560 ) )
= $true )
| ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ssList @ SV237 )
= $false )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1844]) ).
thf(1847,plain,
! [SV236: $i,SV238: $i] :
( ( ( neq @ nil @ sK4_SY560 )
= $false )
| ( ( ssList @ SV238 )
= $false )
| ( ( ( tl @ sK4_SY560 )
= SV238 )
= $false )
| ( ( ( app @ sK3_SY554 @ SV238 )
= SV236 )
= $false )
| ( ( sK4_SY560 = SV236 )
= $true )
| ( ( ssList @ SV236 )
= $false )
| ( ( neq @ sK2_SY549 @ nil )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1848,plain,
! [SV237: $i,SV239: $i] :
( ( ( neq @ nil @ sK4_SY560 )
= $false )
| ( ( ssList @ SV239 )
= $false )
| ( ( ( tl @ sK4_SY560 )
= SV239 )
= $false )
| ( ( ( app @ sK3_SY554 @ SV239 )
= SV237 )
= $false )
| ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ssList @ SV237 )
= $false )
| ( ( ~ ( neq @ sK4_SY560 @ nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1846]) ).
thf(1849,plain,
! [SV239: $i,SV237: $i] :
( ( ( neq @ sK4_SY560 @ nil )
= $false )
| ( ( ssList @ SV237 )
= $false )
| ( ( sK4_SY560 = SV237 )
= $true )
| ( ( ( app @ sK3_SY554 @ SV239 )
= SV237 )
= $false )
| ( ( ( tl @ sK4_SY560 )
= SV239 )
= $false )
| ( ( ssList @ SV239 )
= $false )
| ( ( neq @ nil @ sK4_SY560 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(1850,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[205,1849,1847,1836,1835,1834,1833,1830,1829,1828,1814,1809,1808,1807,1805,1803,1801,1796,1795,1793,1791,1790,1787,1784,1759,1758,1749,1744,1740,1738,1735,1732,1729,1726,1725,1723,1720,1672,1671,1668,1661,1660,1657,1654,1651,1648,1647,1644,1641,1630,1616,1606,1605,1598,1595,1594,1593,1592,1591,1590,1589,1580,1577,1576,1575,1567,1560,1547,1544,1541,1538,1529,1520,1519,1518,1511,1504,1503,1487,1465,1460,1454,1453,1452,1451,1450,1449,1437,1436,1435,1434,1429,1421,1418,1410,1396,1386,1383,1380,1377,1363,1360,1359,1358,1356,1355,1354,1353,1352,1335,1322,1313,1289,1262,1261,1260,1240,1239,1236,1235,1220,1219,1215,1213,1207,1201,1195,1184,1183,1174,1171,1169,1166,1163,1148,1143,1138,1135,1132,1128,1121,1063,1062,1058,1044,1041,1040,1039,1030,1029,1028,1027,951,950,930,917,899,898,891,890,871,870,861,830,800,782,781,780,777,639,630,619,611,609,598,575,555,550,543,542,541,540,539,538,537,536,534,531,529,526,524,518,515,334,284,262,260,257,254,252,250,248]) ).
thf(1851,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1850]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC120+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 12 22:01:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.38 ....
% 0.19/0.45
% 0.19/0.45 No.of.Axioms: 95
% 0.19/0.45
% 0.19/0.45 Length.of.Defs: 0
% 0.19/0.45
% 0.19/0.45 Contains.Choice.Funs: false
% 0.19/0.49 ....
% 0.19/0.53 (rf:0,axioms:95,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:97,loop_count:0,foatp_calls:0,translation:fof_full)....................................................................................................................................................eprover: CPU time limit exceeded, terminating
% 75.08/75.37 .........
% 75.28/75.50 (rf:0,axioms:95,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:97,loop_count:0,foatp_calls:0,translation:fof_full).............................................................................................................................................
% 104.64/104.98
% 104.64/104.98 ********************************
% 104.64/104.98 * All subproblems solved! *
% 104.64/104.98 ********************************
% 104.64/104.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:96,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1850,loop_count:0,foatp_calls:1,translation:fof_full)
% 105.76/106.07
% 105.76/106.07 %**** Beginning of derivation protocol ****
% 105.76/106.07 % SZS output start CNFRefutation
% See solution above
% 105.76/106.08
% 105.76/106.08 %**** End of derivation protocol ****
% 105.76/106.08 %**** no. of clauses in derivation: 1851 ****
% 105.76/106.08 %**** clause counter: 1850 ****
% 105.76/106.08
% 105.76/106.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:96,ps:2,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1850,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------