%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWC151+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:52:33 AM UTC 2026
% Result : Theorem 1.60s 0.48s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 240 ( 95 unt; 0 typ; 0 def)
% Number of atoms : 2166 ( 729 equ; 0 cnn)
% Maximal formula atoms : 8 ( 9 avg)
% Number of connectives : 2907 ( 608 ~; 681 |; 18 &;1455 @)
% ( 3 <=>; 142 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 28 usr; 7 con; 0-2 aty)
% Number of variables : 515 ( 0 ^; 515 !; 0 ?; 515 :)
% 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_sK1_U,type,
sK1_U: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY55,type,
sK3_SY55: $i ).
thf(tp_sK4_SY61,type,
sK4_SY61: $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(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/sandbox2/benchmark/theBenchmark.p',ax82) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax79) ).
thf(34,axiom,
totalorderP @ nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
thf(41,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(47,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( rearsegP @ U @ U ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(54,axiom,
! [U: $i] :
( ( ssList @ U )
=> ( frontsegP @ U @ U ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(70,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(79,axiom,
ssList @ nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(81,axiom,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(96,conjecture,
! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ~ ( totalorderP @ V )
| ( totalorderP @ X ) ) ) ) ) ),
file('/export/starexec/sandbox2/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 )
| ~ ( totalorderP @ V )
| ( totalorderP @ X ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[96]) ).
thf(98,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ! [X: $i] :
( ( ssList @ X )
=> ( ( V != X )
| ( U != W )
| ~ ( totalorderP @ V )
| ( totalorderP @ X ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[97]) ).
thf(99,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(unfold_def,[status(thm)],[14]) ).
thf(100,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( app @ V @ W )
= ( app @ V @ U ) )
=> ( W = U ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(101,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( app @ W @ V )
= ( app @ U @ V ) )
=> ( W = U ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(102,plain,
( ( totalorderP @ nil )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(103,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(104,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ U ) )
=> ( U = V ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(105,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ W ) )
=> ( segmentP @ U @ W ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(106,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ( rearsegP @ U @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(107,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( rearsegP @ U @ V )
& ( rearsegP @ V @ U ) )
=> ( U = V ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(108,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( rearsegP @ U @ V )
& ( rearsegP @ V @ W ) )
=> ( rearsegP @ U @ W ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(109,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ( frontsegP @ U @ U ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(110,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( frontsegP @ U @ V )
& ( frontsegP @ V @ U ) )
=> ( U = V ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(111,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ! [W: $i] :
( ( ssList @ W )
=> ( ( ( frontsegP @ U @ V )
& ( frontsegP @ V @ W ) )
=> ( frontsegP @ U @ W ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(112,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(113,plain,
( ( ssList @ nil )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(114,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(115,plain,
( ( ( ssList @ sK1_U )
=> ! [SY35: $i] :
( ( ssList @ SY35 )
=> ! [SY36: $i] :
( ( ssList @ SY36 )
=> ! [SY37: $i] :
( ( ssList @ SY37 )
=> ( ( SY35 != SY37 )
| ( sK1_U != SY36 )
| ~ ( totalorderP @ SY35 )
| ( totalorderP @ SY37 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[98]) ).
thf(116,plain,
( ( ssList @ sK1_U )
= $true ),
inference(standard_cnf,[status(thm)],[115]) ).
thf(117,plain,
( ( ! [SY35: $i] :
( ( ssList @ SY35 )
=> ! [SY36: $i] :
( ( ssList @ SY36 )
=> ! [SY37: $i] :
( ( ssList @ SY37 )
=> ( ( SY35 != SY37 )
| ( sK1_U != SY36 )
| ~ ( totalorderP @ SY35 )
| ( totalorderP @ SY37 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[115]) ).
thf(118,plain,
( ( ~ ! [SY35: $i] :
( ( ssList @ SY35 )
=> ! [SY36: $i] :
( ( ssList @ SY36 )
=> ! [SY37: $i] :
( ( ssList @ SY37 )
=> ( ( SY35 != SY37 )
| ( sK1_U != SY36 )
| ~ ( totalorderP @ SY35 )
| ( totalorderP @ SY37 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[117]) ).
thf(119,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( neq @ U @ V )
<=> ( U != V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(120,plain,
( ( ssList @ nil )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(121,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ssList @ ( app @ U @ V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(122,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)],[111]) ).
thf(123,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( frontsegP @ U @ V )
& ( frontsegP @ V @ U ) )
=> ( U = V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(124,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ( frontsegP @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(125,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)],[108]) ).
thf(126,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( rearsegP @ U @ V )
& ( rearsegP @ V @ U ) )
=> ( U = V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(127,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ( rearsegP @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(128,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)],[105]) ).
thf(129,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ! [V: $i] :
( ( ssList @ V )
=> ( ( ( segmentP @ U @ V )
& ( segmentP @ V @ U ) )
=> ( U = V ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(130,plain,
( ( ! [U: $i] :
( ( ssList @ U )
=> ( segmentP @ U @ U ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(131,plain,
( ( totalorderP @ nil )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(132,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)],[101]) ).
thf(133,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)],[100]) ).
thf(134,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)],[99]) ).
thf(135,plain,
( ( ssList @ sK1_U )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(136,plain,
( ( ~ ! [SY35: $i] :
( ( ssList @ SY35 )
=> ! [SY36: $i] :
( ( ssList @ SY36 )
=> ! [SY37: $i] :
( ( ssList @ SY37 )
=> ( ( SY35 != SY37 )
| ( sK1_U != SY36 )
| ~ ( totalorderP @ SY35 )
| ( totalorderP @ SY37 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(137,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ~ ( ~ ( frontsegP @ SX0 @ SX1 )
| ~ ( frontsegP @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(138,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ( ( app @ SX2 @ SX1 )
!= ( app @ SX0 @ SX1 ) )
| ( SX2 = SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(139,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ( ( app @ ( app @ SX0 @ SX1 ) @ SX2 )
= ( app @ SX0 @ ( app @ SX1 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(140,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ~ ~ ( ~ ( segmentP @ SX0 @ SX1 )
| ~ ( segmentP @ SX1 @ SX2 ) )
| ( segmentP @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(141,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ( ( app @ SX1 @ SX2 )
!= ( app @ SX1 @ SX0 ) )
| ( SX2 = SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(142,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( segmentP @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(143,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ~ ( ~ ( segmentP @ SX0 @ SX1 )
| ~ ( segmentP @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(144,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ~ ( ~ ( rearsegP @ SX0 @ SX1 )
| ~ ( rearsegP @ SX1 @ SX0 ) )
| ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(145,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ( SX0 != SX2 )
| ( sK1_U != SX1 )
| ~ ( totalorderP @ SX0 )
| ( totalorderP @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(146,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ~ ( ~ ( ~ ( neq @ SX0 @ SX1 )
| ( SX0 != SX1 ) )
| ~ ( ~ ( ( SX0 != SX1 ) )
| ( neq @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(147,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( rearsegP @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(148,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ~ ~ ( ~ ( rearsegP @ SX0 @ SX1 )
| ~ ( rearsegP @ SX1 @ SX2 ) )
| ( rearsegP @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(149,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ~ ~ ( ~ ( frontsegP @ SX0 @ SX1 )
| ~ ( frontsegP @ SX1 @ SX2 ) )
| ( frontsegP @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(150,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ( frontsegP @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(151,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ( ssList @ ( app @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(152,plain,
! [SV1: $i] :
( ( ~ ( ssList @ SV1 )
| ! [SY38: $i] :
( ~ ( ssList @ SY38 )
| ~ ~ ( ~ ( frontsegP @ SV1 @ SY38 )
| ~ ( frontsegP @ SY38 @ SV1 ) )
| ( SV1 = SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(153,plain,
! [SV2: $i] :
( ( ~ ( ssList @ SV2 )
| ! [SY39: $i] :
( ~ ( ssList @ SY39 )
| ! [SY40: $i] :
( ~ ( ssList @ SY40 )
| ( ( app @ SY40 @ SY39 )
!= ( app @ SV2 @ SY39 ) )
| ( SY40 = SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(154,plain,
! [SV3: $i] :
( ( ~ ( ssList @ SV3 )
| ! [SY41: $i] :
( ~ ( ssList @ SY41 )
| ! [SY42: $i] :
( ~ ( ssList @ SY42 )
| ( ( app @ ( app @ SV3 @ SY41 ) @ SY42 )
= ( app @ SV3 @ ( app @ SY41 @ SY42 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(155,plain,
! [SV4: $i] :
( ( ~ ( ssList @ SV4 )
| ! [SY43: $i] :
( ~ ( ssList @ SY43 )
| ! [SY44: $i] :
( ~ ( ssList @ SY44 )
| ~ ~ ( ~ ( segmentP @ SV4 @ SY43 )
| ~ ( segmentP @ SY43 @ SY44 ) )
| ( segmentP @ SV4 @ SY44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(156,plain,
! [SV5: $i] :
( ( ~ ( ssList @ SV5 )
| ! [SY45: $i] :
( ~ ( ssList @ SY45 )
| ! [SY46: $i] :
( ~ ( ssList @ SY46 )
| ( ( app @ SY45 @ SY46 )
!= ( app @ SY45 @ SV5 ) )
| ( SY46 = SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(157,plain,
! [SV6: $i] :
( ( ~ ( ssList @ SV6 )
| ( segmentP @ SV6 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(158,plain,
! [SV7: $i] :
( ( ~ ( ssList @ SV7 )
| ! [SY47: $i] :
( ~ ( ssList @ SY47 )
| ~ ~ ( ~ ( segmentP @ SV7 @ SY47 )
| ~ ( segmentP @ SY47 @ SV7 ) )
| ( SV7 = SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(159,plain,
! [SV8: $i] :
( ( ~ ( ssList @ SV8 )
| ! [SY48: $i] :
( ~ ( ssList @ SY48 )
| ~ ~ ( ~ ( rearsegP @ SV8 @ SY48 )
| ~ ( rearsegP @ SY48 @ SV8 ) )
| ( SV8 = SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(160,plain,
( ( ! [SX0: $i] :
( ~ ( ssList @ SX0 )
| ! [SX1: $i] :
( ~ ( ssList @ SX1 )
| ! [SX2: $i] :
( ~ ( ssList @ SX2 )
| ( SX0 != SX2 )
| ( sK1_U != SX1 )
| ~ ( totalorderP @ SX0 )
| ( totalorderP @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(161,plain,
! [SV9: $i] :
( ( ~ ( ssList @ SV9 )
| ! [SY49: $i] :
( ~ ( ssList @ SY49 )
| ~ ( ~ ( ~ ( neq @ SV9 @ SY49 )
| ( SV9 != SY49 ) )
| ~ ( ~ ( ( SV9 != SY49 ) )
| ( neq @ SV9 @ SY49 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(162,plain,
! [SV10: $i] :
( ( ~ ( ssList @ SV10 )
| ( rearsegP @ SV10 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(163,plain,
! [SV11: $i] :
( ( ~ ( ssList @ SV11 )
| ! [SY50: $i] :
( ~ ( ssList @ SY50 )
| ! [SY51: $i] :
( ~ ( ssList @ SY51 )
| ~ ~ ( ~ ( rearsegP @ SV11 @ SY50 )
| ~ ( rearsegP @ SY50 @ SY51 ) )
| ( rearsegP @ SV11 @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(164,plain,
! [SV12: $i] :
( ( ~ ( ssList @ SV12 )
| ! [SY52: $i] :
( ~ ( ssList @ SY52 )
| ! [SY53: $i] :
( ~ ( ssList @ SY53 )
| ~ ~ ( ~ ( frontsegP @ SV12 @ SY52 )
| ~ ( frontsegP @ SY52 @ SY53 ) )
| ( frontsegP @ SV12 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(165,plain,
! [SV13: $i] :
( ( ~ ( ssList @ SV13 )
| ( frontsegP @ SV13 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(166,plain,
! [SV14: $i] :
( ( ~ ( ssList @ SV14 )
| ! [SY54: $i] :
( ~ ( ssList @ SY54 )
| ( ssList @ ( app @ SV14 @ SY54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(167,plain,
! [SV1: $i] :
( ( ( ~ ( ssList @ SV1 ) )
= $true )
| ( ( ! [SY38: $i] :
( ~ ( ssList @ SY38 )
| ~ ~ ( ~ ( frontsegP @ SV1 @ SY38 )
| ~ ( frontsegP @ SY38 @ SV1 ) )
| ( SV1 = SY38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(168,plain,
! [SV2: $i] :
( ( ( ~ ( ssList @ SV2 ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( ssList @ SY39 )
| ! [SY40: $i] :
( ~ ( ssList @ SY40 )
| ( ( app @ SY40 @ SY39 )
!= ( app @ SV2 @ SY39 ) )
| ( SY40 = SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(169,plain,
! [SV3: $i] :
( ( ( ~ ( ssList @ SV3 ) )
= $true )
| ( ( ! [SY41: $i] :
( ~ ( ssList @ SY41 )
| ! [SY42: $i] :
( ~ ( ssList @ SY42 )
| ( ( app @ ( app @ SV3 @ SY41 ) @ SY42 )
= ( app @ SV3 @ ( app @ SY41 @ SY42 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(170,plain,
! [SV4: $i] :
( ( ( ~ ( ssList @ SV4 ) )
= $true )
| ( ( ! [SY43: $i] :
( ~ ( ssList @ SY43 )
| ! [SY44: $i] :
( ~ ( ssList @ SY44 )
| ~ ~ ( ~ ( segmentP @ SV4 @ SY43 )
| ~ ( segmentP @ SY43 @ SY44 ) )
| ( segmentP @ SV4 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(171,plain,
! [SV5: $i] :
( ( ( ~ ( ssList @ SV5 ) )
= $true )
| ( ( ! [SY45: $i] :
( ~ ( ssList @ SY45 )
| ! [SY46: $i] :
( ~ ( ssList @ SY46 )
| ( ( app @ SY45 @ SY46 )
!= ( app @ SY45 @ SV5 ) )
| ( SY46 = SV5 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(172,plain,
! [SV6: $i] :
( ( ( ~ ( ssList @ SV6 ) )
= $true )
| ( ( segmentP @ SV6 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(173,plain,
! [SV7: $i] :
( ( ( ~ ( ssList @ SV7 ) )
= $true )
| ( ( ! [SY47: $i] :
( ~ ( ssList @ SY47 )
| ~ ~ ( ~ ( segmentP @ SV7 @ SY47 )
| ~ ( segmentP @ SY47 @ SV7 ) )
| ( SV7 = SY47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(174,plain,
! [SV8: $i] :
( ( ( ~ ( ssList @ SV8 ) )
= $true )
| ( ( ! [SY48: $i] :
( ~ ( ssList @ SY48 )
| ~ ~ ( ~ ( rearsegP @ SV8 @ SY48 )
| ~ ( rearsegP @ SY48 @ SV8 ) )
| ( SV8 = SY48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(175,plain,
( ( ~ ( ssList @ sK2_SX0 )
| ! [SY55: $i] :
( ~ ( ssList @ SY55 )
| ! [SY56: $i] :
( ~ ( ssList @ SY56 )
| ( sK2_SX0 != SY56 )
| ( sK1_U != SY55 )
| ~ ( totalorderP @ sK2_SX0 )
| ( totalorderP @ SY56 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[160]) ).
thf(176,plain,
! [SV9: $i] :
( ( ( ~ ( ssList @ SV9 ) )
= $true )
| ( ( ! [SY49: $i] :
( ~ ( ssList @ SY49 )
| ~ ( ~ ( ~ ( neq @ SV9 @ SY49 )
| ( SV9 != SY49 ) )
| ~ ( ~ ( ( SV9 != SY49 ) )
| ( neq @ SV9 @ SY49 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(177,plain,
! [SV10: $i] :
( ( ( ~ ( ssList @ SV10 ) )
= $true )
| ( ( rearsegP @ SV10 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(178,plain,
! [SV11: $i] :
( ( ( ~ ( ssList @ SV11 ) )
= $true )
| ( ( ! [SY50: $i] :
( ~ ( ssList @ SY50 )
| ! [SY51: $i] :
( ~ ( ssList @ SY51 )
| ~ ~ ( ~ ( rearsegP @ SV11 @ SY50 )
| ~ ( rearsegP @ SY50 @ SY51 ) )
| ( rearsegP @ SV11 @ SY51 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(179,plain,
! [SV12: $i] :
( ( ( ~ ( ssList @ SV12 ) )
= $true )
| ( ( ! [SY52: $i] :
( ~ ( ssList @ SY52 )
| ! [SY53: $i] :
( ~ ( ssList @ SY53 )
| ~ ~ ( ~ ( frontsegP @ SV12 @ SY52 )
| ~ ( frontsegP @ SY52 @ SY53 ) )
| ( frontsegP @ SV12 @ SY53 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(180,plain,
! [SV13: $i] :
( ( ( ~ ( ssList @ SV13 ) )
= $true )
| ( ( frontsegP @ SV13 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(181,plain,
! [SV14: $i] :
( ( ( ~ ( ssList @ SV14 ) )
= $true )
| ( ( ! [SY54: $i] :
( ~ ( ssList @ SY54 )
| ( ssList @ ( app @ SV14 @ SY54 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(182,plain,
! [SV1: $i] :
( ( ( ssList @ SV1 )
= $false )
| ( ( ! [SY38: $i] :
( ~ ( ssList @ SY38 )
| ~ ~ ( ~ ( frontsegP @ SV1 @ SY38 )
| ~ ( frontsegP @ SY38 @ SV1 ) )
| ( SV1 = SY38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(183,plain,
! [SV2: $i] :
( ( ( ssList @ SV2 )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( ssList @ SY39 )
| ! [SY40: $i] :
( ~ ( ssList @ SY40 )
| ( ( app @ SY40 @ SY39 )
!= ( app @ SV2 @ SY39 ) )
| ( SY40 = SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(184,plain,
! [SV3: $i] :
( ( ( ssList @ SV3 )
= $false )
| ( ( ! [SY41: $i] :
( ~ ( ssList @ SY41 )
| ! [SY42: $i] :
( ~ ( ssList @ SY42 )
| ( ( app @ ( app @ SV3 @ SY41 ) @ SY42 )
= ( app @ SV3 @ ( app @ SY41 @ SY42 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(185,plain,
! [SV4: $i] :
( ( ( ssList @ SV4 )
= $false )
| ( ( ! [SY43: $i] :
( ~ ( ssList @ SY43 )
| ! [SY44: $i] :
( ~ ( ssList @ SY44 )
| ~ ~ ( ~ ( segmentP @ SV4 @ SY43 )
| ~ ( segmentP @ SY43 @ SY44 ) )
| ( segmentP @ SV4 @ SY44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(186,plain,
! [SV5: $i] :
( ( ( ssList @ SV5 )
= $false )
| ( ( ! [SY45: $i] :
( ~ ( ssList @ SY45 )
| ! [SY46: $i] :
( ~ ( ssList @ SY46 )
| ( ( app @ SY45 @ SY46 )
!= ( app @ SY45 @ SV5 ) )
| ( SY46 = SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(187,plain,
! [SV6: $i] :
( ( ( ssList @ SV6 )
= $false )
| ( ( segmentP @ SV6 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(188,plain,
! [SV7: $i] :
( ( ( ssList @ SV7 )
= $false )
| ( ( ! [SY47: $i] :
( ~ ( ssList @ SY47 )
| ~ ~ ( ~ ( segmentP @ SV7 @ SY47 )
| ~ ( segmentP @ SY47 @ SV7 ) )
| ( SV7 = SY47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(189,plain,
! [SV8: $i] :
( ( ( ssList @ SV8 )
= $false )
| ( ( ! [SY48: $i] :
( ~ ( ssList @ SY48 )
| ~ ~ ( ~ ( rearsegP @ SV8 @ SY48 )
| ~ ( rearsegP @ SY48 @ SV8 ) )
| ( SV8 = SY48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(190,plain,
( ( ~ ( ssList @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(191,plain,
( ( ! [SY55: $i] :
( ~ ( ssList @ SY55 )
| ! [SY56: $i] :
( ~ ( ssList @ SY56 )
| ( sK2_SX0 != SY56 )
| ( sK1_U != SY55 )
| ~ ( totalorderP @ sK2_SX0 )
| ( totalorderP @ SY56 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(192,plain,
! [SV9: $i] :
( ( ( ssList @ SV9 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( ssList @ SY49 )
| ~ ( ~ ( ~ ( neq @ SV9 @ SY49 )
| ( SV9 != SY49 ) )
| ~ ( ~ ( ( SV9 != SY49 ) )
| ( neq @ SV9 @ SY49 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(193,plain,
! [SV10: $i] :
( ( ( ssList @ SV10 )
= $false )
| ( ( rearsegP @ SV10 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(194,plain,
! [SV11: $i] :
( ( ( ssList @ SV11 )
= $false )
| ( ( ! [SY50: $i] :
( ~ ( ssList @ SY50 )
| ! [SY51: $i] :
( ~ ( ssList @ SY51 )
| ~ ~ ( ~ ( rearsegP @ SV11 @ SY50 )
| ~ ( rearsegP @ SY50 @ SY51 ) )
| ( rearsegP @ SV11 @ SY51 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(195,plain,
! [SV12: $i] :
( ( ( ssList @ SV12 )
= $false )
| ( ( ! [SY52: $i] :
( ~ ( ssList @ SY52 )
| ! [SY53: $i] :
( ~ ( ssList @ SY53 )
| ~ ~ ( ~ ( frontsegP @ SV12 @ SY52 )
| ~ ( frontsegP @ SY52 @ SY53 ) )
| ( frontsegP @ SV12 @ SY53 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(196,plain,
! [SV13: $i] :
( ( ( ssList @ SV13 )
= $false )
| ( ( frontsegP @ SV13 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(197,plain,
! [SV14: $i] :
( ( ( ssList @ SV14 )
= $false )
| ( ( ! [SY54: $i] :
( ~ ( ssList @ SY54 )
| ( ssList @ ( app @ SV14 @ SY54 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(198,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ( ssList @ SV15 )
| ~ ~ ( ~ ( frontsegP @ SV1 @ SV15 )
| ~ ( frontsegP @ SV15 @ SV1 ) )
| ( SV1 = SV15 ) )
= $true )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(199,plain,
! [SV2: $i,SV16: $i] :
( ( ( ~ ( ssList @ SV16 )
| ! [SY57: $i] :
( ~ ( ssList @ SY57 )
| ( ( app @ SY57 @ SV16 )
!= ( app @ SV2 @ SV16 ) )
| ( SY57 = SV2 ) ) )
= $true )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(200,plain,
! [SV3: $i,SV17: $i] :
( ( ( ~ ( ssList @ SV17 )
| ! [SY58: $i] :
( ~ ( ssList @ SY58 )
| ( ( app @ ( app @ SV3 @ SV17 ) @ SY58 )
= ( app @ SV3 @ ( app @ SV17 @ SY58 ) ) ) ) )
= $true )
| ( ( ssList @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(201,plain,
! [SV4: $i,SV18: $i] :
( ( ( ~ ( ssList @ SV18 )
| ! [SY59: $i] :
( ~ ( ssList @ SY59 )
| ~ ~ ( ~ ( segmentP @ SV4 @ SV18 )
| ~ ( segmentP @ SV18 @ SY59 ) )
| ( segmentP @ SV4 @ SY59 ) ) )
= $true )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(202,plain,
! [SV5: $i,SV19: $i] :
( ( ( ~ ( ssList @ SV19 )
| ! [SY60: $i] :
( ~ ( ssList @ SY60 )
| ( ( app @ SV19 @ SY60 )
!= ( app @ SV19 @ SV5 ) )
| ( SY60 = SV5 ) ) )
= $true )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(203,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( ssList @ SV20 )
| ~ ~ ( ~ ( segmentP @ SV7 @ SV20 )
| ~ ( segmentP @ SV20 @ SV7 ) )
| ( SV7 = SV20 ) )
= $true )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(204,plain,
! [SV8: $i,SV21: $i] :
( ( ( ~ ( ssList @ SV21 )
| ~ ~ ( ~ ( rearsegP @ SV8 @ SV21 )
| ~ ( rearsegP @ SV21 @ SV8 ) )
| ( SV8 = SV21 ) )
= $true )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(205,plain,
( ( ssList @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(206,plain,
( ( ~ ( ssList @ sK3_SY55 )
| ! [SY61: $i] :
( ~ ( ssList @ SY61 )
| ( sK2_SX0 != SY61 )
| ( sK1_U != sK3_SY55 )
| ~ ( totalorderP @ sK2_SX0 )
| ( totalorderP @ SY61 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[191]) ).
thf(207,plain,
! [SV9: $i,SV22: $i] :
( ( ( ~ ( ssList @ SV22 )
| ~ ( ~ ( ~ ( neq @ SV9 @ SV22 )
| ( SV9 != SV22 ) )
| ~ ( ~ ( ( SV9 != SV22 ) )
| ( neq @ SV9 @ SV22 ) ) ) )
= $true )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(208,plain,
! [SV11: $i,SV23: $i] :
( ( ( ~ ( ssList @ SV23 )
| ! [SY62: $i] :
( ~ ( ssList @ SY62 )
| ~ ~ ( ~ ( rearsegP @ SV11 @ SV23 )
| ~ ( rearsegP @ SV23 @ SY62 ) )
| ( rearsegP @ SV11 @ SY62 ) ) )
= $true )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(209,plain,
! [SV12: $i,SV24: $i] :
( ( ( ~ ( ssList @ SV24 )
| ! [SY63: $i] :
( ~ ( ssList @ SY63 )
| ~ ~ ( ~ ( frontsegP @ SV12 @ SV24 )
| ~ ( frontsegP @ SV24 @ SY63 ) )
| ( frontsegP @ SV12 @ SY63 ) ) )
= $true )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(210,plain,
! [SV14: $i,SV25: $i] :
( ( ( ~ ( ssList @ SV25 )
| ( ssList @ ( app @ SV14 @ SV25 ) ) )
= $true )
| ( ( ssList @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(211,plain,
! [SV1: $i,SV15: $i] :
( ( ( ~ ( ssList @ SV15 ) )
= $true )
| ( ( ~ ~ ( ~ ( frontsegP @ SV1 @ SV15 )
| ~ ( frontsegP @ SV15 @ SV1 ) )
| ( SV1 = SV15 ) )
= $true )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(212,plain,
! [SV2: $i,SV16: $i] :
( ( ( ~ ( ssList @ SV16 ) )
= $true )
| ( ( ! [SY57: $i] :
( ~ ( ssList @ SY57 )
| ( ( app @ SY57 @ SV16 )
!= ( app @ SV2 @ SV16 ) )
| ( SY57 = SV2 ) ) )
= $true )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(213,plain,
! [SV3: $i,SV17: $i] :
( ( ( ~ ( ssList @ SV17 ) )
= $true )
| ( ( ! [SY58: $i] :
( ~ ( ssList @ SY58 )
| ( ( app @ ( app @ SV3 @ SV17 ) @ SY58 )
= ( app @ SV3 @ ( app @ SV17 @ SY58 ) ) ) ) )
= $true )
| ( ( ssList @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(214,plain,
! [SV4: $i,SV18: $i] :
( ( ( ~ ( ssList @ SV18 ) )
= $true )
| ( ( ! [SY59: $i] :
( ~ ( ssList @ SY59 )
| ~ ~ ( ~ ( segmentP @ SV4 @ SV18 )
| ~ ( segmentP @ SV18 @ SY59 ) )
| ( segmentP @ SV4 @ SY59 ) ) )
= $true )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(215,plain,
! [SV5: $i,SV19: $i] :
( ( ( ~ ( ssList @ SV19 ) )
= $true )
| ( ( ! [SY60: $i] :
( ~ ( ssList @ SY60 )
| ( ( app @ SV19 @ SY60 )
!= ( app @ SV19 @ SV5 ) )
| ( SY60 = SV5 ) ) )
= $true )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(216,plain,
! [SV7: $i,SV20: $i] :
( ( ( ~ ( ssList @ SV20 ) )
= $true )
| ( ( ~ ~ ( ~ ( segmentP @ SV7 @ SV20 )
| ~ ( segmentP @ SV20 @ SV7 ) )
| ( SV7 = SV20 ) )
= $true )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(217,plain,
! [SV8: $i,SV21: $i] :
( ( ( ~ ( ssList @ SV21 ) )
= $true )
| ( ( ~ ~ ( ~ ( rearsegP @ SV8 @ SV21 )
| ~ ( rearsegP @ SV21 @ SV8 ) )
| ( SV8 = SV21 ) )
= $true )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(218,plain,
( ( ~ ( ssList @ sK3_SY55 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(219,plain,
( ( ! [SY61: $i] :
( ~ ( ssList @ SY61 )
| ( sK2_SX0 != SY61 )
| ( sK1_U != sK3_SY55 )
| ~ ( totalorderP @ sK2_SX0 )
| ( totalorderP @ SY61 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(220,plain,
! [SV9: $i,SV22: $i] :
( ( ( ~ ( ssList @ SV22 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( neq @ SV9 @ SV22 )
| ( SV9 != SV22 ) )
| ~ ( ~ ( ( SV9 != SV22 ) )
| ( neq @ SV9 @ SV22 ) ) ) )
= $true )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(221,plain,
! [SV11: $i,SV23: $i] :
( ( ( ~ ( ssList @ SV23 ) )
= $true )
| ( ( ! [SY62: $i] :
( ~ ( ssList @ SY62 )
| ~ ~ ( ~ ( rearsegP @ SV11 @ SV23 )
| ~ ( rearsegP @ SV23 @ SY62 ) )
| ( rearsegP @ SV11 @ SY62 ) ) )
= $true )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(222,plain,
! [SV12: $i,SV24: $i] :
( ( ( ~ ( ssList @ SV24 ) )
= $true )
| ( ( ! [SY63: $i] :
( ~ ( ssList @ SY63 )
| ~ ~ ( ~ ( frontsegP @ SV12 @ SV24 )
| ~ ( frontsegP @ SV24 @ SY63 ) )
| ( frontsegP @ SV12 @ SY63 ) ) )
= $true )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(223,plain,
! [SV14: $i,SV25: $i] :
( ( ( ~ ( ssList @ SV25 ) )
= $true )
| ( ( ssList @ ( app @ SV14 @ SV25 ) )
= $true )
| ( ( ssList @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(224,plain,
! [SV1: $i,SV15: $i] :
( ( ( ssList @ SV15 )
= $false )
| ( ( ~ ~ ( ~ ( frontsegP @ SV1 @ SV15 )
| ~ ( frontsegP @ SV15 @ SV1 ) )
| ( SV1 = SV15 ) )
= $true )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(225,plain,
! [SV2: $i,SV16: $i] :
( ( ( ssList @ SV16 )
= $false )
| ( ( ! [SY57: $i] :
( ~ ( ssList @ SY57 )
| ( ( app @ SY57 @ SV16 )
!= ( app @ SV2 @ SV16 ) )
| ( SY57 = SV2 ) ) )
= $true )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(226,plain,
! [SV3: $i,SV17: $i] :
( ( ( ssList @ SV17 )
= $false )
| ( ( ! [SY58: $i] :
( ~ ( ssList @ SY58 )
| ( ( app @ ( app @ SV3 @ SV17 ) @ SY58 )
= ( app @ SV3 @ ( app @ SV17 @ SY58 ) ) ) ) )
= $true )
| ( ( ssList @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(227,plain,
! [SV4: $i,SV18: $i] :
( ( ( ssList @ SV18 )
= $false )
| ( ( ! [SY59: $i] :
( ~ ( ssList @ SY59 )
| ~ ~ ( ~ ( segmentP @ SV4 @ SV18 )
| ~ ( segmentP @ SV18 @ SY59 ) )
| ( segmentP @ SV4 @ SY59 ) ) )
= $true )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(228,plain,
! [SV5: $i,SV19: $i] :
( ( ( ssList @ SV19 )
= $false )
| ( ( ! [SY60: $i] :
( ~ ( ssList @ SY60 )
| ( ( app @ SV19 @ SY60 )
!= ( app @ SV19 @ SV5 ) )
| ( SY60 = SV5 ) ) )
= $true )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(229,plain,
! [SV7: $i,SV20: $i] :
( ( ( ssList @ SV20 )
= $false )
| ( ( ~ ~ ( ~ ( segmentP @ SV7 @ SV20 )
| ~ ( segmentP @ SV20 @ SV7 ) )
| ( SV7 = SV20 ) )
= $true )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(230,plain,
! [SV8: $i,SV21: $i] :
( ( ( ssList @ SV21 )
= $false )
| ( ( ~ ~ ( ~ ( rearsegP @ SV8 @ SV21 )
| ~ ( rearsegP @ SV21 @ SV8 ) )
| ( SV8 = SV21 ) )
= $true )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(231,plain,
( ( ssList @ sK3_SY55 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(232,plain,
( ( ~ ( ssList @ sK4_SY61 )
| ( sK2_SX0 != sK4_SY61 )
| ( sK1_U != sK3_SY55 )
| ~ ( totalorderP @ sK2_SX0 )
| ( totalorderP @ sK4_SY61 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[219]) ).
thf(233,plain,
! [SV9: $i,SV22: $i] :
( ( ( ssList @ SV22 )
= $false )
| ( ( ~ ( ~ ( ~ ( neq @ SV9 @ SV22 )
| ( SV9 != SV22 ) )
| ~ ( ~ ( ( SV9 != SV22 ) )
| ( neq @ SV9 @ SV22 ) ) ) )
= $true )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(234,plain,
! [SV11: $i,SV23: $i] :
( ( ( ssList @ SV23 )
= $false )
| ( ( ! [SY62: $i] :
( ~ ( ssList @ SY62 )
| ~ ~ ( ~ ( rearsegP @ SV11 @ SV23 )
| ~ ( rearsegP @ SV23 @ SY62 ) )
| ( rearsegP @ SV11 @ SY62 ) ) )
= $true )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(235,plain,
! [SV12: $i,SV24: $i] :
( ( ( ssList @ SV24 )
= $false )
| ( ( ! [SY63: $i] :
( ~ ( ssList @ SY63 )
| ~ ~ ( ~ ( frontsegP @ SV12 @ SV24 )
| ~ ( frontsegP @ SV24 @ SY63 ) )
| ( frontsegP @ SV12 @ SY63 ) ) )
= $true )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(236,plain,
! [SV14: $i,SV25: $i] :
( ( ( ssList @ SV25 )
= $false )
| ( ( ssList @ ( app @ SV14 @ SV25 ) )
= $true )
| ( ( ssList @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(237,plain,
! [SV15: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( frontsegP @ SV1 @ SV15 )
| ~ ( frontsegP @ SV15 @ SV1 ) ) )
= $true )
| ( ( SV1 = SV15 )
= $true )
| ( ( ssList @ SV15 )
= $false )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(238,plain,
! [SV2: $i,SV16: $i,SV26: $i] :
( ( ( ~ ( ssList @ SV26 )
| ( ( app @ SV26 @ SV16 )
!= ( app @ SV2 @ SV16 ) )
| ( SV26 = SV2 ) )
= $true )
| ( ( ssList @ SV16 )
= $false )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(239,plain,
! [SV17: $i,SV3: $i,SV27: $i] :
( ( ( ~ ( ssList @ SV27 )
| ( ( app @ ( app @ SV3 @ SV17 ) @ SV27 )
= ( app @ SV3 @ ( app @ SV17 @ SV27 ) ) ) )
= $true )
| ( ( ssList @ SV17 )
= $false )
| ( ( ssList @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(240,plain,
! [SV18: $i,SV4: $i,SV28: $i] :
( ( ( ~ ( ssList @ SV28 )
| ~ ~ ( ~ ( segmentP @ SV4 @ SV18 )
| ~ ( segmentP @ SV18 @ SV28 ) )
| ( segmentP @ SV4 @ SV28 ) )
= $true )
| ( ( ssList @ SV18 )
= $false )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(241,plain,
! [SV5: $i,SV19: $i,SV29: $i] :
( ( ( ~ ( ssList @ SV29 )
| ( ( app @ SV19 @ SV29 )
!= ( app @ SV19 @ SV5 ) )
| ( SV29 = SV5 ) )
= $true )
| ( ( ssList @ SV19 )
= $false )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(242,plain,
! [SV20: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( segmentP @ SV7 @ SV20 )
| ~ ( segmentP @ SV20 @ SV7 ) ) )
= $true )
| ( ( SV7 = SV20 )
= $true )
| ( ( ssList @ SV20 )
= $false )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(243,plain,
! [SV21: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( rearsegP @ SV8 @ SV21 )
| ~ ( rearsegP @ SV21 @ SV8 ) ) )
= $true )
| ( ( SV8 = SV21 )
= $true )
| ( ( ssList @ SV21 )
= $false )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(244,plain,
( ( ~ ( ssList @ sK4_SY61 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(245,plain,
( ( ( sK2_SX0 != sK4_SY61 )
| ( sK1_U != sK3_SY55 )
| ~ ( totalorderP @ sK2_SX0 )
| ( totalorderP @ sK4_SY61 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(246,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ( neq @ SV9 @ SV22 )
| ( SV9 != SV22 ) )
| ~ ( ~ ( ( SV9 != SV22 ) )
| ( neq @ SV9 @ SV22 ) ) )
= $false )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(247,plain,
! [SV23: $i,SV11: $i,SV30: $i] :
( ( ( ~ ( ssList @ SV30 )
| ~ ~ ( ~ ( rearsegP @ SV11 @ SV23 )
| ~ ( rearsegP @ SV23 @ SV30 ) )
| ( rearsegP @ SV11 @ SV30 ) )
= $true )
| ( ( ssList @ SV23 )
= $false )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(248,plain,
! [SV24: $i,SV12: $i,SV31: $i] :
( ( ( ~ ( ssList @ SV31 )
| ~ ~ ( ~ ( frontsegP @ SV12 @ SV24 )
| ~ ( frontsegP @ SV24 @ SV31 ) )
| ( frontsegP @ SV12 @ SV31 ) )
= $true )
| ( ( ssList @ SV24 )
= $false )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(249,plain,
! [SV15: $i,SV1: $i] :
( ( ( ~ ( ~ ( frontsegP @ SV1 @ SV15 )
| ~ ( frontsegP @ SV15 @ SV1 ) ) )
= $false )
| ( ( SV1 = SV15 )
= $true )
| ( ( ssList @ SV15 )
= $false )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(250,plain,
! [SV2: $i,SV16: $i,SV26: $i] :
( ( ( ~ ( ssList @ SV26 ) )
= $true )
| ( ( ( ( app @ SV26 @ SV16 )
!= ( app @ SV2 @ SV16 ) )
| ( SV26 = SV2 ) )
= $true )
| ( ( ssList @ SV16 )
= $false )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(251,plain,
! [SV17: $i,SV3: $i,SV27: $i] :
( ( ( ~ ( ssList @ SV27 ) )
= $true )
| ( ( ( app @ ( app @ SV3 @ SV17 ) @ SV27 )
= ( app @ SV3 @ ( app @ SV17 @ SV27 ) ) )
= $true )
| ( ( ssList @ SV17 )
= $false )
| ( ( ssList @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(252,plain,
! [SV18: $i,SV4: $i,SV28: $i] :
( ( ( ~ ( ssList @ SV28 ) )
= $true )
| ( ( ~ ~ ( ~ ( segmentP @ SV4 @ SV18 )
| ~ ( segmentP @ SV18 @ SV28 ) )
| ( segmentP @ SV4 @ SV28 ) )
= $true )
| ( ( ssList @ SV18 )
= $false )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(253,plain,
! [SV5: $i,SV19: $i,SV29: $i] :
( ( ( ~ ( ssList @ SV29 ) )
= $true )
| ( ( ( ( app @ SV19 @ SV29 )
!= ( app @ SV19 @ SV5 ) )
| ( SV29 = SV5 ) )
= $true )
| ( ( ssList @ SV19 )
= $false )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(254,plain,
! [SV20: $i,SV7: $i] :
( ( ( ~ ( ~ ( segmentP @ SV7 @ SV20 )
| ~ ( segmentP @ SV20 @ SV7 ) ) )
= $false )
| ( ( SV7 = SV20 )
= $true )
| ( ( ssList @ SV20 )
= $false )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(255,plain,
! [SV21: $i,SV8: $i] :
( ( ( ~ ( ~ ( rearsegP @ SV8 @ SV21 )
| ~ ( rearsegP @ SV21 @ SV8 ) ) )
= $false )
| ( ( SV8 = SV21 )
= $true )
| ( ( ssList @ SV21 )
= $false )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(256,plain,
( ( ssList @ sK4_SY61 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(257,plain,
( ( ( sK2_SX0 != sK4_SY61 )
| ( sK1_U != sK3_SY55 )
| ~ ( totalorderP @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(258,plain,
( ( totalorderP @ sK4_SY61 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[245]) ).
thf(259,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ( neq @ SV9 @ SV22 )
| ( SV9 != SV22 ) ) )
= $false )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(260,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ( ( SV9 != SV22 ) )
| ( neq @ SV9 @ SV22 ) ) )
= $false )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(261,plain,
! [SV23: $i,SV11: $i,SV30: $i] :
( ( ( ~ ( ssList @ SV30 ) )
= $true )
| ( ( ~ ~ ( ~ ( rearsegP @ SV11 @ SV23 )
| ~ ( rearsegP @ SV23 @ SV30 ) )
| ( rearsegP @ SV11 @ SV30 ) )
= $true )
| ( ( ssList @ SV23 )
= $false )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(262,plain,
! [SV24: $i,SV12: $i,SV31: $i] :
( ( ( ~ ( ssList @ SV31 ) )
= $true )
| ( ( ~ ~ ( ~ ( frontsegP @ SV12 @ SV24 )
| ~ ( frontsegP @ SV24 @ SV31 ) )
| ( frontsegP @ SV12 @ SV31 ) )
= $true )
| ( ( ssList @ SV24 )
= $false )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(263,plain,
! [SV15: $i,SV1: $i] :
( ( ( ~ ( frontsegP @ SV1 @ SV15 )
| ~ ( frontsegP @ SV15 @ SV1 ) )
= $true )
| ( ( SV1 = SV15 )
= $true )
| ( ( ssList @ SV15 )
= $false )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(264,plain,
! [SV2: $i,SV16: $i,SV26: $i] :
( ( ( ssList @ SV26 )
= $false )
| ( ( ( ( app @ SV26 @ SV16 )
!= ( app @ SV2 @ SV16 ) )
| ( SV26 = SV2 ) )
= $true )
| ( ( ssList @ SV16 )
= $false )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(265,plain,
! [SV17: $i,SV3: $i,SV27: $i] :
( ( ( ssList @ SV27 )
= $false )
| ( ( ( app @ ( app @ SV3 @ SV17 ) @ SV27 )
= ( app @ SV3 @ ( app @ SV17 @ SV27 ) ) )
= $true )
| ( ( ssList @ SV17 )
= $false )
| ( ( ssList @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(266,plain,
! [SV18: $i,SV4: $i,SV28: $i] :
( ( ( ssList @ SV28 )
= $false )
| ( ( ~ ~ ( ~ ( segmentP @ SV4 @ SV18 )
| ~ ( segmentP @ SV18 @ SV28 ) )
| ( segmentP @ SV4 @ SV28 ) )
= $true )
| ( ( ssList @ SV18 )
= $false )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(267,plain,
! [SV5: $i,SV19: $i,SV29: $i] :
( ( ( ssList @ SV29 )
= $false )
| ( ( ( ( app @ SV19 @ SV29 )
!= ( app @ SV19 @ SV5 ) )
| ( SV29 = SV5 ) )
= $true )
| ( ( ssList @ SV19 )
= $false )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(268,plain,
! [SV20: $i,SV7: $i] :
( ( ( ~ ( segmentP @ SV7 @ SV20 )
| ~ ( segmentP @ SV20 @ SV7 ) )
= $true )
| ( ( SV7 = SV20 )
= $true )
| ( ( ssList @ SV20 )
= $false )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(269,plain,
! [SV21: $i,SV8: $i] :
( ( ( ~ ( rearsegP @ SV8 @ SV21 )
| ~ ( rearsegP @ SV21 @ SV8 ) )
= $true )
| ( ( SV8 = SV21 )
= $true )
| ( ( ssList @ SV21 )
= $false )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(270,plain,
( ( ( sK2_SX0 != sK4_SY61 )
| ( sK1_U != sK3_SY55 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(271,plain,
( ( ~ ( totalorderP @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(272,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( neq @ SV9 @ SV22 )
| ( SV9 != SV22 ) )
= $true )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(273,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV22 ) )
| ( neq @ SV9 @ SV22 ) )
= $true )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(274,plain,
! [SV23: $i,SV11: $i,SV30: $i] :
( ( ( ssList @ SV30 )
= $false )
| ( ( ~ ~ ( ~ ( rearsegP @ SV11 @ SV23 )
| ~ ( rearsegP @ SV23 @ SV30 ) )
| ( rearsegP @ SV11 @ SV30 ) )
= $true )
| ( ( ssList @ SV23 )
= $false )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(275,plain,
! [SV24: $i,SV12: $i,SV31: $i] :
( ( ( ssList @ SV31 )
= $false )
| ( ( ~ ~ ( ~ ( frontsegP @ SV12 @ SV24 )
| ~ ( frontsegP @ SV24 @ SV31 ) )
| ( frontsegP @ SV12 @ SV31 ) )
= $true )
| ( ( ssList @ SV24 )
= $false )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(276,plain,
! [SV15: $i,SV1: $i] :
( ( ( ~ ( frontsegP @ SV1 @ SV15 ) )
= $true )
| ( ( ~ ( frontsegP @ SV15 @ SV1 ) )
= $true )
| ( ( SV1 = SV15 )
= $true )
| ( ( ssList @ SV15 )
= $false )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(277,plain,
! [SV2: $i,SV16: $i,SV26: $i] :
( ( ( ( app @ SV26 @ SV16 )
!= ( app @ SV2 @ SV16 ) )
= $true )
| ( ( SV26 = SV2 )
= $true )
| ( ( ssList @ SV26 )
= $false )
| ( ( ssList @ SV16 )
= $false )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(278,plain,
! [SV28: $i,SV18: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( segmentP @ SV4 @ SV18 )
| ~ ( segmentP @ SV18 @ SV28 ) ) )
= $true )
| ( ( segmentP @ SV4 @ SV28 )
= $true )
| ( ( ssList @ SV28 )
= $false )
| ( ( ssList @ SV18 )
= $false )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(279,plain,
! [SV5: $i,SV29: $i,SV19: $i] :
( ( ( ( app @ SV19 @ SV29 )
!= ( app @ SV19 @ SV5 ) )
= $true )
| ( ( SV29 = SV5 )
= $true )
| ( ( ssList @ SV29 )
= $false )
| ( ( ssList @ SV19 )
= $false )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(280,plain,
! [SV20: $i,SV7: $i] :
( ( ( ~ ( segmentP @ SV7 @ SV20 ) )
= $true )
| ( ( ~ ( segmentP @ SV20 @ SV7 ) )
= $true )
| ( ( SV7 = SV20 )
= $true )
| ( ( ssList @ SV20 )
= $false )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(281,plain,
! [SV21: $i,SV8: $i] :
( ( ( ~ ( rearsegP @ SV8 @ SV21 ) )
= $true )
| ( ( ~ ( rearsegP @ SV21 @ SV8 ) )
= $true )
| ( ( SV8 = SV21 )
= $true )
| ( ( ssList @ SV21 )
= $false )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(282,plain,
( ( sK2_SX0 != sK4_SY61 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(283,plain,
( ( sK1_U != sK3_SY55 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(284,plain,
( ( totalorderP @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(285,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( neq @ SV9 @ SV22 ) )
= $true )
| ( ( SV9 != SV22 )
= $true )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(286,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV22 ) ) )
= $true )
| ( ( neq @ SV9 @ SV22 )
= $true )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(287,plain,
! [SV30: $i,SV23: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( rearsegP @ SV11 @ SV23 )
| ~ ( rearsegP @ SV23 @ SV30 ) ) )
= $true )
| ( ( rearsegP @ SV11 @ SV30 )
= $true )
| ( ( ssList @ SV30 )
= $false )
| ( ( ssList @ SV23 )
= $false )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(288,plain,
! [SV31: $i,SV24: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( frontsegP @ SV12 @ SV24 )
| ~ ( frontsegP @ SV24 @ SV31 ) ) )
= $true )
| ( ( frontsegP @ SV12 @ SV31 )
= $true )
| ( ( ssList @ SV31 )
= $false )
| ( ( ssList @ SV24 )
= $false )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(289,plain,
! [SV15: $i,SV1: $i] :
( ( ( frontsegP @ SV1 @ SV15 )
= $false )
| ( ( ~ ( frontsegP @ SV15 @ SV1 ) )
= $true )
| ( ( SV1 = SV15 )
= $true )
| ( ( ssList @ SV15 )
= $false )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(290,plain,
! [SV2: $i,SV16: $i,SV26: $i] :
( ( ( ( app @ SV26 @ SV16 )
= ( app @ SV2 @ SV16 ) )
= $false )
| ( ( SV26 = SV2 )
= $true )
| ( ( ssList @ SV26 )
= $false )
| ( ( ssList @ SV16 )
= $false )
| ( ( ssList @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(291,plain,
! [SV28: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( ~ ( segmentP @ SV4 @ SV18 )
| ~ ( segmentP @ SV18 @ SV28 ) ) )
= $false )
| ( ( segmentP @ SV4 @ SV28 )
= $true )
| ( ( ssList @ SV28 )
= $false )
| ( ( ssList @ SV18 )
= $false )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(292,plain,
! [SV5: $i,SV29: $i,SV19: $i] :
( ( ( ( app @ SV19 @ SV29 )
= ( app @ SV19 @ SV5 ) )
= $false )
| ( ( SV29 = SV5 )
= $true )
| ( ( ssList @ SV29 )
= $false )
| ( ( ssList @ SV19 )
= $false )
| ( ( ssList @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(293,plain,
! [SV20: $i,SV7: $i] :
( ( ( segmentP @ SV7 @ SV20 )
= $false )
| ( ( ~ ( segmentP @ SV20 @ SV7 ) )
= $true )
| ( ( SV7 = SV20 )
= $true )
| ( ( ssList @ SV20 )
= $false )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(294,plain,
! [SV21: $i,SV8: $i] :
( ( ( rearsegP @ SV8 @ SV21 )
= $false )
| ( ( ~ ( rearsegP @ SV21 @ SV8 ) )
= $true )
| ( ( SV8 = SV21 )
= $true )
| ( ( ssList @ SV21 )
= $false )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(295,plain,
( ( sK2_SX0 = sK4_SY61 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(296,plain,
( ( sK1_U = sK3_SY55 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(297,plain,
! [SV22: $i,SV9: $i] :
( ( ( neq @ SV9 @ SV22 )
= $false )
| ( ( SV9 != SV22 )
= $true )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(298,plain,
! [SV22: $i,SV9: $i] :
( ( ( SV9 != SV22 )
= $false )
| ( ( neq @ SV9 @ SV22 )
= $true )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(299,plain,
! [SV30: $i,SV23: $i,SV11: $i] :
( ( ( ~ ( ~ ( rearsegP @ SV11 @ SV23 )
| ~ ( rearsegP @ SV23 @ SV30 ) ) )
= $false )
| ( ( rearsegP @ SV11 @ SV30 )
= $true )
| ( ( ssList @ SV30 )
= $false )
| ( ( ssList @ SV23 )
= $false )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(300,plain,
! [SV31: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( ~ ( frontsegP @ SV12 @ SV24 )
| ~ ( frontsegP @ SV24 @ SV31 ) ) )
= $false )
| ( ( frontsegP @ SV12 @ SV31 )
= $true )
| ( ( ssList @ SV31 )
= $false )
| ( ( ssList @ SV24 )
= $false )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(301,plain,
! [SV1: $i,SV15: $i] :
( ( ( frontsegP @ SV15 @ SV1 )
= $false )
| ( ( frontsegP @ SV1 @ SV15 )
= $false )
| ( ( SV1 = SV15 )
= $true )
| ( ( ssList @ SV15 )
= $false )
| ( ( ssList @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(302,plain,
! [SV28: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( segmentP @ SV4 @ SV18 )
| ~ ( segmentP @ SV18 @ SV28 ) )
= $true )
| ( ( segmentP @ SV4 @ SV28 )
= $true )
| ( ( ssList @ SV28 )
= $false )
| ( ( ssList @ SV18 )
= $false )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(303,plain,
! [SV7: $i,SV20: $i] :
( ( ( segmentP @ SV20 @ SV7 )
= $false )
| ( ( segmentP @ SV7 @ SV20 )
= $false )
| ( ( SV7 = SV20 )
= $true )
| ( ( ssList @ SV20 )
= $false )
| ( ( ssList @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(304,plain,
! [SV8: $i,SV21: $i] :
( ( ( rearsegP @ SV21 @ SV8 )
= $false )
| ( ( rearsegP @ SV8 @ SV21 )
= $false )
| ( ( SV8 = SV21 )
= $true )
| ( ( ssList @ SV21 )
= $false )
| ( ( ssList @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(305,plain,
! [SV22: $i,SV9: $i] :
( ( ( SV9 = SV22 )
= $false )
| ( ( neq @ SV9 @ SV22 )
= $false )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(306,plain,
! [SV22: $i,SV9: $i] :
( ( ( SV9 = SV22 )
= $true )
| ( ( neq @ SV9 @ SV22 )
= $true )
| ( ( ssList @ SV22 )
= $false )
| ( ( ssList @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(307,plain,
! [SV30: $i,SV23: $i,SV11: $i] :
( ( ( ~ ( rearsegP @ SV11 @ SV23 )
| ~ ( rearsegP @ SV23 @ SV30 ) )
= $true )
| ( ( rearsegP @ SV11 @ SV30 )
= $true )
| ( ( ssList @ SV30 )
= $false )
| ( ( ssList @ SV23 )
= $false )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(308,plain,
! [SV31: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( frontsegP @ SV12 @ SV24 )
| ~ ( frontsegP @ SV24 @ SV31 ) )
= $true )
| ( ( frontsegP @ SV12 @ SV31 )
= $true )
| ( ( ssList @ SV31 )
= $false )
| ( ( ssList @ SV24 )
= $false )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(309,plain,
! [SV28: $i,SV18: $i,SV4: $i] :
( ( ( ~ ( segmentP @ SV4 @ SV18 ) )
= $true )
| ( ( ~ ( segmentP @ SV18 @ SV28 ) )
= $true )
| ( ( segmentP @ SV4 @ SV28 )
= $true )
| ( ( ssList @ SV28 )
= $false )
| ( ( ssList @ SV18 )
= $false )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(310,plain,
! [SV30: $i,SV23: $i,SV11: $i] :
( ( ( ~ ( rearsegP @ SV11 @ SV23 ) )
= $true )
| ( ( ~ ( rearsegP @ SV23 @ SV30 ) )
= $true )
| ( ( rearsegP @ SV11 @ SV30 )
= $true )
| ( ( ssList @ SV30 )
= $false )
| ( ( ssList @ SV23 )
= $false )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(311,plain,
! [SV31: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( frontsegP @ SV12 @ SV24 ) )
= $true )
| ( ( ~ ( frontsegP @ SV24 @ SV31 ) )
= $true )
| ( ( frontsegP @ SV12 @ SV31 )
= $true )
| ( ( ssList @ SV31 )
= $false )
| ( ( ssList @ SV24 )
= $false )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(312,plain,
! [SV28: $i,SV18: $i,SV4: $i] :
( ( ( segmentP @ SV4 @ SV18 )
= $false )
| ( ( ~ ( segmentP @ SV18 @ SV28 ) )
= $true )
| ( ( segmentP @ SV4 @ SV28 )
= $true )
| ( ( ssList @ SV28 )
= $false )
| ( ( ssList @ SV18 )
= $false )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(313,plain,
! [SV30: $i,SV23: $i,SV11: $i] :
( ( ( rearsegP @ SV11 @ SV23 )
= $false )
| ( ( ~ ( rearsegP @ SV23 @ SV30 ) )
= $true )
| ( ( rearsegP @ SV11 @ SV30 )
= $true )
| ( ( ssList @ SV30 )
= $false )
| ( ( ssList @ SV23 )
= $false )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(314,plain,
! [SV31: $i,SV24: $i,SV12: $i] :
( ( ( frontsegP @ SV12 @ SV24 )
= $false )
| ( ( ~ ( frontsegP @ SV24 @ SV31 ) )
= $true )
| ( ( frontsegP @ SV12 @ SV31 )
= $true )
| ( ( ssList @ SV31 )
= $false )
| ( ( ssList @ SV24 )
= $false )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(315,plain,
! [SV4: $i,SV28: $i,SV18: $i] :
( ( ( segmentP @ SV18 @ SV28 )
= $false )
| ( ( segmentP @ SV4 @ SV18 )
= $false )
| ( ( segmentP @ SV4 @ SV28 )
= $true )
| ( ( ssList @ SV28 )
= $false )
| ( ( ssList @ SV18 )
= $false )
| ( ( ssList @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(316,plain,
! [SV11: $i,SV30: $i,SV23: $i] :
( ( ( rearsegP @ SV23 @ SV30 )
= $false )
| ( ( rearsegP @ SV11 @ SV23 )
= $false )
| ( ( rearsegP @ SV11 @ SV30 )
= $true )
| ( ( ssList @ SV30 )
= $false )
| ( ( ssList @ SV23 )
= $false )
| ( ( ssList @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(317,plain,
! [SV12: $i,SV31: $i,SV24: $i] :
( ( ( frontsegP @ SV24 @ SV31 )
= $false )
| ( ( frontsegP @ SV12 @ SV24 )
= $false )
| ( ( frontsegP @ SV12 @ SV31 )
= $true )
| ( ( ssList @ SV31 )
= $false )
| ( ( ssList @ SV24 )
= $false )
| ( ( ssList @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(318,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[120,317,316,315,306,305,304,303,301,296,295,292,290,284,265,258,256,236,231,205,196,193,187,135,131]) ).
thf(319,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC151+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.19 % Computer : n017.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Oct 6 15:57:01 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.60/0.48 .
% 1.60/0.48
% 1.60/0.48 No.of.Axioms: 16
% 1.60/0.48
% 1.60/0.48 Length.of.Defs: 0
% 1.60/0.48
% 1.60/0.48 Contains.Choice.Funs: false
% 1.60/0.48 .......
% 1.60/0.48
% 1.60/0.48 ********************************
% 1.60/0.48 * All subproblems solved! *
% 1.60/0.48 ********************************
% 1.60/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:17,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:318,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.60/0.48
% 1.60/0.48 %**** Beginning of derivation protocol ****
% 1.60/0.48 % SZS output start CNFRefutation
% See solution above
% 1.60/0.48
% 1.60/0.48 %**** End of derivation protocol ****
% 1.60/0.48 %**** no. of clauses in derivation: 240 ****
% 1.60/0.48 %**** clause counter: 318 ****
% 1.60/0.48
% 1.60/0.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:17,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:318,loop_count:0,foatp_calls:1,translation:fof_full)
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