TSTP Solution File: GEO252+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GEO252+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n028.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 : Sat Jul 16 05:09:18 EDT 2022
% Result : Theorem 0.56s 0.77s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 51
% Syntax : Number of formulae : 1115 ( 687 unt; 19 typ; 0 def)
% Number of atoms : 8069 (1781 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 18202 (2990 ~;3217 |; 144 &;11801 @)
% ( 10 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 5 con; 0-4 aty)
% Number of variables : 3745 ( 0 ^3745 !; 0 ?;3745 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_apart_point_and_line,type,
apart_point_and_line: $i > $i > $o ).
thf(tp_before_on_line,type,
before_on_line: $i > $i > $i > $o ).
thf(tp_between_on_line,type,
between_on_line: $i > $i > $i > $i > $o ).
thf(tp_convergent_lines,type,
convergent_lines: $i > $i > $o ).
thf(tp_distinct_lines,type,
distinct_lines: $i > $i > $o ).
thf(tp_distinct_points,type,
distinct_points: $i > $i > $o ).
thf(tp_divides_points,type,
divides_points: $i > $i > $i > $o ).
thf(tp_intersection_point,type,
intersection_point: $i > $i > $i ).
thf(tp_left_apart_point,type,
left_apart_point: $i > $i > $o ).
thf(tp_left_convergent_lines,type,
left_convergent_lines: $i > $i > $o ).
thf(tp_line,type,
line: $i > $o ).
thf(tp_line_connecting,type,
line_connecting: $i > $i > $i ).
thf(tp_parallel_through_point,type,
parallel_through_point: $i > $i > $i ).
thf(tp_point,type,
point: $i > $o ).
thf(tp_reverse_line,type,
reverse_line: $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY74,type,
sK2_SY74: $i ).
thf(tp_sK3_SY76,type,
sK3_SY76: $i ).
thf(tp_unequally_directed_lines,type,
unequally_directed_lines: $i > $i > $o ).
thf(1,axiom,
! [L: $i,M: $i,N: $i] :
( ( left_convergent_lines @ L @ M )
=> ( ( unequally_directed_lines @ M @ N )
| ( left_convergent_lines @ L @ N ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagsub3) ).
thf(2,axiom,
! [A: $i,L: $i,M: $i] :
( ( ( left_apart_point @ A @ L )
& ( unequally_directed_lines @ L @ M ) )
=> ( ( distinct_lines @ L @ M )
| ( left_apart_point @ A @ ( reverse_line @ M ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagsub2) ).
thf(3,axiom,
! [A: $i,B: $i,L: $i] :
( ( left_apart_point @ A @ L )
=> ( ( distinct_points @ A @ B )
| ( left_apart_point @ B @ L ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagsub1) ).
thf(4,axiom,
! [A: $i,B: $i,L: $i] :
( ( ( distinct_points @ A @ B )
& ( left_apart_point @ A @ L ) )
=> ( ( left_apart_point @ B @ L )
| ( left_convergent_lines @ ( line_connecting @ A @ B ) @ L ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oaguc2) ).
thf(5,axiom,
! [A: $i,B: $i,L: $i,M: $i] :
( ( ( distinct_points @ A @ B )
& ( distinct_lines @ L @ M ) )
=> ( ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L )
| ( left_apart_point @ A @ M )
| ( left_apart_point @ B @ M )
| ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ A @ ( reverse_line @ M ) )
| ( left_apart_point @ B @ ( reverse_line @ M ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oaguc1) ).
thf(6,axiom,
! [A: $i,L: $i] :
~ ( unequally_directed_lines @ ( parallel_through_point @ L @ A ) @ L ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco10) ).
thf(7,axiom,
! [A: $i,B: $i] :
~ ( unequally_directed_lines @ ( line_connecting @ A @ B ) @ ( reverse_line @ ( line_connecting @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco9) ).
thf(8,axiom,
! [L: $i] :
~ ( distinct_lines @ L @ ( reverse_line @ L ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco8) ).
thf(9,axiom,
! [A: $i,L: $i] :
~ ( apart_point_and_line @ A @ ( parallel_through_point @ L @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco7) ).
thf(10,axiom,
! [L: $i,M: $i] :
( ( ( unequally_directed_lines @ L @ M )
& ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
=> ( ~ ( apart_point_and_line @ ( intersection_point @ L @ M ) @ L )
& ~ ( apart_point_and_line @ ( intersection_point @ L @ M ) @ M ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco6) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( distinct_points @ A @ B )
=> ( ~ ( apart_point_and_line @ A @ ( line_connecting @ A @ B ) )
& ~ ( apart_point_and_line @ B @ ( line_connecting @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco5) ).
thf(12,axiom,
! [L: $i] :
( ( line @ L )
=> ( line @ ( reverse_line @ L ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco4) ).
thf(13,axiom,
! [L: $i,A: $i] :
( ( ( point @ A )
& ( line @ L ) )
=> ( line @ ( parallel_through_point @ L @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco3) ).
thf(14,axiom,
! [L: $i,M: $i] :
( ( ( line @ L )
& ( line @ M )
& ( unequally_directed_lines @ L @ M )
& ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
=> ( point @ ( intersection_point @ L @ M ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco2) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B )
& ( distinct_points @ A @ B ) )
=> ( line @ ( line_connecting @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco1) ).
thf(16,axiom,
! [L: $i,M: $i] :
~ ( ( left_convergent_lines @ L @ M )
| ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).
thf(17,axiom,
! [A: $i,L: $i] :
~ ( ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
thf(18,axiom,
! [L: $i,M: $i] :
( ( ( unequally_directed_lines @ L @ M )
& ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
=> ( ( left_convergent_lines @ L @ M )
| ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag9) ).
thf(19,axiom,
! [L: $i,M: $i] :
( ( ( line @ L )
& ( line @ M ) )
=> ( ( unequally_directed_lines @ L @ M )
| ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag8) ).
thf(20,axiom,
! [L: $i,M: $i,N: $i] :
( ( ( unequally_directed_lines @ L @ M )
& ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
=> ( ( ( unequally_directed_lines @ L @ N )
& ( unequally_directed_lines @ L @ ( reverse_line @ N ) ) )
| ( ( unequally_directed_lines @ M @ N )
& ( unequally_directed_lines @ M @ ( reverse_line @ N ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag7) ).
thf(21,axiom,
! [L: $i,M: $i,N: $i] :
( ( unequally_directed_lines @ L @ M )
=> ( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag6) ).
thf(22,axiom,
! [L: $i] :
~ ( unequally_directed_lines @ L @ L ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag5) ).
thf(23,axiom,
! [L: $i,M: $i,N: $i] :
( ( distinct_lines @ L @ M )
=> ( ( distinct_lines @ L @ N )
| ( distinct_lines @ M @ N ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag4) ).
thf(24,axiom,
! [L: $i] :
~ ( distinct_lines @ L @ L ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag3) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ( distinct_points @ A @ B )
=> ( ( distinct_points @ A @ C )
| ( distinct_points @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag2) ).
thf(26,axiom,
! [A: $i] :
~ ( distinct_points @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag1) ).
thf(27,axiom,
! [L: $i,A: $i,B: $i,C: $i] :
( ( between_on_line @ L @ A @ B @ C )
<=> ( ( ( before_on_line @ L @ A @ B )
& ( before_on_line @ L @ B @ C ) )
| ( ( before_on_line @ L @ C @ B )
& ( before_on_line @ L @ B @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bet_def) ).
thf(28,axiom,
! [L: $i,A: $i,B: $i] :
( ( before_on_line @ L @ A @ B )
<=> ( ( distinct_points @ A @ B )
& ~ ( ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ~ ( ( left_apart_point @ B @ L )
| ( left_apart_point @ B @ ( reverse_line @ L ) ) )
& ~ ( unequally_directed_lines @ L @ ( line_connecting @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bf_def) ).
thf(29,axiom,
! [A: $i,B: $i,L: $i] :
( ( divides_points @ L @ A @ B )
<=> ( ( ( left_apart_point @ A @ L )
& ( left_apart_point @ B @ ( reverse_line @ L ) ) )
| ( ( left_apart_point @ A @ ( reverse_line @ L ) )
& ( left_apart_point @ B @ L ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_def) ).
thf(30,axiom,
! [L: $i,M: $i] :
( ( convergent_lines @ L @ M )
<=> ( ( unequally_directed_lines @ L @ M )
& ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con_def) ).
thf(31,axiom,
! [A: $i,L: $i] :
( ( apart_point_and_line @ A @ L )
<=> ( ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apt_def) ).
thf(32,conjecture,
! [A: $i,B: $i,L: $i] :
( ( ( left_apart_point @ A @ L )
& ( left_apart_point @ B @ ( reverse_line @ L ) ) )
=> ( ( distinct_points @ A @ B )
& ( left_convergent_lines @ ( line_connecting @ A @ B ) @ L ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(33,negated_conjecture,
( ( ! [A: $i,B: $i,L: $i] :
( ( ( left_apart_point @ A @ L )
& ( left_apart_point @ B @ ( reverse_line @ L ) ) )
=> ( ( distinct_points @ A @ B )
& ( left_convergent_lines @ ( line_connecting @ A @ B ) @ L ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[32]) ).
thf(34,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ( ( left_apart_point @ A @ L )
& ( left_apart_point @ B @ ( reverse_line @ L ) ) )
=> ( ( distinct_points @ A @ B )
& ( left_convergent_lines @ ( line_connecting @ A @ B ) @ L ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[33]) ).
thf(35,plain,
( ( ! [L: $i,M: $i,N: $i] :
( ( left_convergent_lines @ L @ M )
=> ( ( unequally_directed_lines @ M @ N )
| ( left_convergent_lines @ L @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(36,plain,
( ( ! [A: $i,L: $i,M: $i] :
( ( ( left_apart_point @ A @ L )
& ( unequally_directed_lines @ L @ M ) )
=> ( ( distinct_lines @ L @ M )
| ( left_apart_point @ A @ ( reverse_line @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(37,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ( left_apart_point @ A @ L )
=> ( ( distinct_points @ A @ B )
| ( left_apart_point @ B @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(38,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ( ( distinct_points @ A @ B )
& ( left_apart_point @ A @ L ) )
=> ( ( left_apart_point @ B @ L )
| ( left_convergent_lines @ ( line_connecting @ A @ B ) @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(39,plain,
( ( ! [A: $i,B: $i,L: $i,M: $i] :
( ( ( distinct_points @ A @ B )
& ( distinct_lines @ L @ M ) )
=> ( ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L )
| ( left_apart_point @ A @ M )
| ( left_apart_point @ B @ M )
| ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ A @ ( reverse_line @ M ) )
| ( left_apart_point @ B @ ( reverse_line @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(40,plain,
( ( ! [A: $i,L: $i] :
~ ( unequally_directed_lines @ ( parallel_through_point @ L @ A ) @ L ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(41,plain,
( ( ! [A: $i,B: $i] :
~ ( unequally_directed_lines @ ( line_connecting @ A @ B ) @ ( reverse_line @ ( line_connecting @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(42,plain,
( ( ! [L: $i] :
~ ( distinct_lines @ L @ ( reverse_line @ L ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(43,plain,
( ( ! [A: $i,L: $i] :
~ ( apart_point_and_line @ A @ ( parallel_through_point @ L @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(44,plain,
( ( ! [L: $i,M: $i] :
( ( ( unequally_directed_lines @ L @ M )
& ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
=> ( ~ ( apart_point_and_line @ ( intersection_point @ L @ M ) @ L )
& ~ ( apart_point_and_line @ ( intersection_point @ L @ M ) @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ( distinct_points @ A @ B )
=> ( ~ ( apart_point_and_line @ A @ ( line_connecting @ A @ B ) )
& ~ ( apart_point_and_line @ B @ ( line_connecting @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(46,plain,
( ( ! [L: $i] :
( ( line @ L )
=> ( line @ ( reverse_line @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(47,plain,
( ( ! [L: $i,A: $i] :
( ( ( point @ A )
& ( line @ L ) )
=> ( line @ ( parallel_through_point @ L @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(48,plain,
( ( ! [L: $i,M: $i] :
( ( ( line @ L )
& ( line @ M )
& ( unequally_directed_lines @ L @ M )
& ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
=> ( point @ ( intersection_point @ L @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B )
& ( distinct_points @ A @ B ) )
=> ( line @ ( line_connecting @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(50,plain,
( ( ! [L: $i,M: $i] :
~ ( ( left_convergent_lines @ L @ M )
| ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(51,plain,
( ( ! [A: $i,L: $i] :
~ ( ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(52,plain,
( ( ! [L: $i,M: $i] :
( ( ( unequally_directed_lines @ L @ M )
& ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
=> ( ( left_convergent_lines @ L @ M )
| ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(53,plain,
( ( ! [L: $i,M: $i] :
( ( ( line @ L )
& ( line @ M ) )
=> ( ( unequally_directed_lines @ L @ M )
| ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(54,plain,
( ( ! [L: $i,M: $i,N: $i] :
( ( ( unequally_directed_lines @ L @ M )
& ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) )
=> ( ( ( unequally_directed_lines @ L @ N )
& ( unequally_directed_lines @ L @ ( reverse_line @ N ) ) )
| ( ( unequally_directed_lines @ M @ N )
& ( unequally_directed_lines @ M @ ( reverse_line @ N ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(55,plain,
( ( ! [L: $i,M: $i,N: $i] :
( ( unequally_directed_lines @ L @ M )
=> ( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(56,plain,
( ( ! [L: $i] :
~ ( unequally_directed_lines @ L @ L ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(57,plain,
( ( ! [L: $i,M: $i,N: $i] :
( ( distinct_lines @ L @ M )
=> ( ( distinct_lines @ L @ N )
| ( distinct_lines @ M @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(58,plain,
( ( ! [L: $i] :
~ ( distinct_lines @ L @ L ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(59,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( distinct_points @ A @ B )
=> ( ( distinct_points @ A @ C )
| ( distinct_points @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(60,plain,
( ( ! [A: $i] :
~ ( distinct_points @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(61,plain,
( ( ! [L: $i,A: $i,B: $i,C: $i] :
( ( between_on_line @ L @ A @ B @ C )
<=> ( ( ( before_on_line @ L @ A @ B )
& ( before_on_line @ L @ B @ C ) )
| ( ( before_on_line @ L @ C @ B )
& ( before_on_line @ L @ B @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(62,plain,
( ( ! [L: $i,A: $i,B: $i] :
( ( before_on_line @ L @ A @ B )
<=> ( ( distinct_points @ A @ B )
& ~ ( ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ~ ( ( left_apart_point @ B @ L )
| ( left_apart_point @ B @ ( reverse_line @ L ) ) )
& ~ ( unequally_directed_lines @ L @ ( line_connecting @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(63,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ( divides_points @ L @ A @ B )
<=> ( ( ( left_apart_point @ A @ L )
& ( left_apart_point @ B @ ( reverse_line @ L ) ) )
| ( ( left_apart_point @ A @ ( reverse_line @ L ) )
& ( left_apart_point @ B @ L ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(64,plain,
( ( ! [L: $i,M: $i] :
( ( convergent_lines @ L @ M )
<=> ( ( unequally_directed_lines @ L @ M )
& ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(65,plain,
( ( ! [A: $i,L: $i] :
( ( apart_point_and_line @ A @ L )
<=> ( ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(66,plain,
( ( ! [SY74: $i,SY75: $i] :
( ( ( left_apart_point @ sK1_A @ SY75 )
& ( left_apart_point @ SY74 @ ( reverse_line @ SY75 ) ) )
=> ( ( distinct_points @ sK1_A @ SY74 )
& ( left_convergent_lines @ ( line_connecting @ sK1_A @ SY74 ) @ SY75 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[34]) ).
thf(67,plain,
( ( ! [SY76: $i] :
( ( ( left_apart_point @ sK1_A @ SY76 )
& ( left_apart_point @ sK2_SY74 @ ( reverse_line @ SY76 ) ) )
=> ( ( distinct_points @ sK1_A @ sK2_SY74 )
& ( left_convergent_lines @ ( line_connecting @ sK1_A @ sK2_SY74 ) @ SY76 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[66]) ).
thf(68,plain,
( ( ( ( left_apart_point @ sK1_A @ sK3_SY76 )
& ( left_apart_point @ sK2_SY74 @ ( reverse_line @ sK3_SY76 ) ) )
=> ( ( distinct_points @ sK1_A @ sK2_SY74 )
& ( left_convergent_lines @ ( line_connecting @ sK1_A @ sK2_SY74 ) @ sK3_SY76 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[67]) ).
thf(69,plain,
( ( left_apart_point @ sK1_A @ sK3_SY76 )
= $true ),
inference(standard_cnf,[status(thm)],[68]) ).
thf(70,plain,
( ( left_apart_point @ sK2_SY74 @ ( reverse_line @ sK3_SY76 ) )
= $true ),
inference(standard_cnf,[status(thm)],[68]) ).
thf(71,plain,
( ( ( distinct_points @ sK1_A @ sK2_SY74 )
& ( left_convergent_lines @ ( line_connecting @ sK1_A @ sK2_SY74 ) @ sK3_SY76 ) )
= $false ),
inference(standard_cnf,[status(thm)],[68]) ).
thf(72,plain,
( ( distinct_points @ sK1_A @ sK2_SY74 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[71]) ).
thf(73,plain,
( ( left_convergent_lines @ ( line_connecting @ sK1_A @ sK2_SY74 ) @ sK3_SY76 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[71]) ).
thf(74,plain,
( ( ~ ( distinct_points @ sK1_A @ sK2_SY74 ) )
= $true ),
inference(polarity_switch,[status(thm)],[72]) ).
thf(75,plain,
( ( ~ ( left_convergent_lines @ ( line_connecting @ sK1_A @ sK2_SY74 ) @ sK3_SY76 ) )
= $true ),
inference(polarity_switch,[status(thm)],[73]) ).
thf(76,plain,
( ( ! [L: $i,M: $i] :
( ~ ( left_convergent_lines @ L @ M )
| ! [N: $i] :
( ( left_convergent_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(77,plain,
( ( ! [A: $i,L: $i,M: $i] :
( ~ ( left_apart_point @ A @ L )
| ~ ( unequally_directed_lines @ L @ M )
| ( distinct_lines @ L @ M )
| ( left_apart_point @ A @ ( reverse_line @ M ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(78,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ~ ( left_apart_point @ A @ L )
| ( distinct_points @ A @ B )
| ( left_apart_point @ B @ L ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(79,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ~ ( distinct_points @ A @ B )
| ~ ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L )
| ( left_convergent_lines @ ( line_connecting @ A @ B ) @ L ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(80,plain,
( ( ! [A: $i,B: $i,L: $i,M: $i] :
( ~ ( distinct_lines @ L @ M )
| ~ ( distinct_points @ A @ B )
| ( left_apart_point @ B @ ( reverse_line @ M ) )
| ( left_apart_point @ A @ ( reverse_line @ M ) )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ M )
| ( left_apart_point @ A @ M )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(81,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ~ ( apart_point_and_line @ ( intersection_point @ L @ M ) @ L ) )
& ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ~ ( apart_point_and_line @ ( intersection_point @ L @ M ) @ M ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ~ ( apart_point_and_line @ A @ ( line_connecting @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ~ ( apart_point_and_line @ B @ ( line_connecting @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(83,plain,
( ( ! [L: $i] :
( ~ ( line @ L )
| ( line @ ( reverse_line @ L ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(84,plain,
( ( ! [L: $i,A: $i] :
( ~ ( line @ L )
| ~ ( point @ A )
| ( line @ ( parallel_through_point @ L @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(85,plain,
( ( ! [L: $i,M: $i] :
( ~ ( line @ L )
| ~ ( line @ M )
| ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ( point @ ( intersection_point @ L @ M ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(86,plain,
( ( ! [A: $i,B: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( distinct_points @ A @ B )
| ( line @ ( line_connecting @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(87,plain,
( ( ! [L: $i,M: $i] :
~ ( left_convergent_lines @ L @ M )
& ! [L: $i,M: $i] :
~ ( left_convergent_lines @ L @ ( reverse_line @ M ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(88,plain,
( ( ! [A: $i,L: $i] :
~ ( left_apart_point @ A @ L )
& ! [A: $i,L: $i] :
~ ( left_apart_point @ A @ ( reverse_line @ L ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(89,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ( left_convergent_lines @ L @ M )
| ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(90,plain,
( ( ! [L: $i,M: $i] :
( ~ ( line @ L )
| ~ ( line @ M )
| ( unequally_directed_lines @ L @ M )
| ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(91,plain,
( ( ! [L: $i] :
( ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) )
& ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ ( reverse_line @ N ) ) ) )
& ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ ( reverse_line @ N ) )
| ( unequally_directed_lines @ M @ N ) ) )
& ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ ( reverse_line @ N ) )
| ( unequally_directed_lines @ M @ ( reverse_line @ N ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(92,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(93,plain,
( ( ! [L: $i,M: $i] :
( ~ ( distinct_lines @ L @ M )
| ! [N: $i] :
( ( distinct_lines @ L @ N )
| ( distinct_lines @ M @ N ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(94,plain,
( ( ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ! [C: $i] :
( ( distinct_points @ A @ C )
| ( distinct_points @ B @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(95,plain,
( ( ! [L: $i,A: $i] :
( ! [B: $i,C: $i] :
( ~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ A @ B )
| ( before_on_line @ L @ C @ B ) )
& ! [B: $i] :
( ! [C: $i] :
~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ A @ B )
| ( before_on_line @ L @ B @ A ) )
& ! [B: $i,C: $i] :
( ~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ B @ C )
| ( before_on_line @ L @ C @ B ) )
& ! [B: $i,C: $i] :
( ~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ B @ C )
| ( before_on_line @ L @ B @ A ) )
& ! [B: $i,C: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( before_on_line @ L @ B @ C )
| ( between_on_line @ L @ A @ B @ C ) )
& ! [B: $i,C: $i] :
( ~ ( before_on_line @ L @ C @ B )
| ~ ( before_on_line @ L @ B @ A )
| ( between_on_line @ L @ A @ B @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(96,plain,
( ( ! [L: $i] :
( ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ L )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( unequally_directed_lines @ L @ ( line_connecting @ A @ B ) )
| ( before_on_line @ L @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ( distinct_points @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ A @ L ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ B @ L ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ B @ ( reverse_line @ L ) ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( unequally_directed_lines @ L @ ( line_connecting @ A @ B ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(97,plain,
( ( ! [A: $i] :
( ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L ) )
& ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ L ) )
& ! [B: $i,L: $i] :
( ~ ( left_apart_point @ A @ L )
| ~ ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( divides_points @ L @ A @ B ) )
& ! [B: $i,L: $i] :
( ~ ( left_apart_point @ A @ ( reverse_line @ L ) )
| ~ ( left_apart_point @ B @ L )
| ( divides_points @ L @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(98,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ( convergent_lines @ L @ M ) )
& ! [L: $i,M: $i] :
( ~ ( convergent_lines @ L @ M )
| ( unequally_directed_lines @ L @ M ) )
& ! [L: $i,M: $i] :
( ~ ( convergent_lines @ L @ M )
| ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(99,plain,
( ( ! [A: $i,L: $i] :
( ~ ( apart_point_and_line @ A @ L )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [A: $i,L: $i] :
( ~ ( left_apart_point @ A @ L )
| ( apart_point_and_line @ A @ L ) )
& ! [A: $i,L: $i] :
( ~ ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( apart_point_and_line @ A @ L ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(100,plain,
( ( ! [A: $i,L: $i] :
( ~ ( apart_point_and_line @ A @ L )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [A: $i,L: $i] :
( ~ ( left_apart_point @ A @ L )
| ( apart_point_and_line @ A @ L ) )
& ! [A: $i,L: $i] :
( ~ ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( apart_point_and_line @ A @ L ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(101,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ( convergent_lines @ L @ M ) )
& ! [L: $i,M: $i] :
( ~ ( convergent_lines @ L @ M )
| ( unequally_directed_lines @ L @ M ) )
& ! [L: $i,M: $i] :
( ~ ( convergent_lines @ L @ M )
| ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(102,plain,
( ( ! [A: $i] :
( ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L ) )
& ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ L ) )
& ! [B: $i,L: $i] :
( ~ ( left_apart_point @ A @ L )
| ~ ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( divides_points @ L @ A @ B ) )
& ! [B: $i,L: $i] :
( ~ ( left_apart_point @ A @ ( reverse_line @ L ) )
| ~ ( left_apart_point @ B @ L )
| ( divides_points @ L @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(103,plain,
( ( ! [L: $i] :
( ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ L )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( unequally_directed_lines @ L @ ( line_connecting @ A @ B ) )
| ( before_on_line @ L @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ( distinct_points @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ A @ L ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ B @ L ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ B @ ( reverse_line @ L ) ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( unequally_directed_lines @ L @ ( line_connecting @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(104,plain,
( ( ! [L: $i,A: $i] :
( ! [B: $i,C: $i] :
( ~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ A @ B )
| ( before_on_line @ L @ C @ B ) )
& ! [B: $i] :
( ! [C: $i] :
~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ A @ B )
| ( before_on_line @ L @ B @ A ) )
& ! [B: $i,C: $i] :
( ~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ B @ C )
| ( before_on_line @ L @ C @ B ) )
& ! [B: $i,C: $i] :
( ~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ B @ C )
| ( before_on_line @ L @ B @ A ) )
& ! [B: $i,C: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( before_on_line @ L @ B @ C )
| ( between_on_line @ L @ A @ B @ C ) )
& ! [B: $i,C: $i] :
( ~ ( before_on_line @ L @ C @ B )
| ~ ( before_on_line @ L @ B @ A )
| ( between_on_line @ L @ A @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(105,plain,
( ( ! [A: $i] :
~ ( distinct_points @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(106,plain,
( ( ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ! [C: $i] :
( ( distinct_points @ A @ C )
| ( distinct_points @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(107,plain,
( ( ! [L: $i] :
~ ( distinct_lines @ L @ L ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(108,plain,
( ( ! [L: $i,M: $i] :
( ~ ( distinct_lines @ L @ M )
| ! [N: $i] :
( ( distinct_lines @ L @ N )
| ( distinct_lines @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(109,plain,
( ( ! [L: $i] :
~ ( unequally_directed_lines @ L @ L ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(110,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(111,plain,
( ( ! [L: $i] :
( ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) )
& ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ ( reverse_line @ N ) ) ) )
& ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ ( reverse_line @ N ) )
| ( unequally_directed_lines @ M @ N ) ) )
& ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ ( reverse_line @ N ) )
| ( unequally_directed_lines @ M @ ( reverse_line @ N ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(112,plain,
( ( ! [L: $i,M: $i] :
( ~ ( line @ L )
| ~ ( line @ M )
| ( unequally_directed_lines @ L @ M )
| ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(113,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ( left_convergent_lines @ L @ M )
| ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(114,plain,
( ( ! [A: $i,L: $i] :
~ ( left_apart_point @ A @ L )
& ! [A: $i,L: $i] :
~ ( left_apart_point @ A @ ( reverse_line @ L ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(115,plain,
( ( ! [L: $i,M: $i] :
~ ( left_convergent_lines @ L @ M )
& ! [L: $i,M: $i] :
~ ( left_convergent_lines @ L @ ( reverse_line @ M ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(116,plain,
( ( ! [A: $i,B: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( distinct_points @ A @ B )
| ( line @ ( line_connecting @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(117,plain,
( ( ! [L: $i,M: $i] :
( ~ ( line @ L )
| ~ ( line @ M )
| ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ( point @ ( intersection_point @ L @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(118,plain,
( ( ! [L: $i,A: $i] :
( ~ ( line @ L )
| ~ ( point @ A )
| ( line @ ( parallel_through_point @ L @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(119,plain,
( ( ! [L: $i] :
( ~ ( line @ L )
| ( line @ ( reverse_line @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(120,plain,
( ( ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ~ ( apart_point_and_line @ A @ ( line_connecting @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ~ ( apart_point_and_line @ B @ ( line_connecting @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(121,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ~ ( apart_point_and_line @ ( intersection_point @ L @ M ) @ L ) )
& ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ~ ( apart_point_and_line @ ( intersection_point @ L @ M ) @ M ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(122,plain,
( ( ! [A: $i,L: $i] :
~ ( apart_point_and_line @ A @ ( parallel_through_point @ L @ A ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(123,plain,
( ( ! [L: $i] :
~ ( distinct_lines @ L @ ( reverse_line @ L ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(124,plain,
( ( ! [A: $i,B: $i] :
~ ( unequally_directed_lines @ ( line_connecting @ A @ B ) @ ( reverse_line @ ( line_connecting @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(125,plain,
( ( ! [A: $i,L: $i] :
~ ( unequally_directed_lines @ ( parallel_through_point @ L @ A ) @ L ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(126,plain,
( ( ! [A: $i,B: $i,L: $i,M: $i] :
( ~ ( distinct_lines @ L @ M )
| ~ ( distinct_points @ A @ B )
| ( left_apart_point @ B @ ( reverse_line @ M ) )
| ( left_apart_point @ A @ ( reverse_line @ M ) )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ M )
| ( left_apart_point @ A @ M )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(127,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ~ ( distinct_points @ A @ B )
| ~ ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L )
| ( left_convergent_lines @ ( line_connecting @ A @ B ) @ L ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(128,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ~ ( left_apart_point @ A @ L )
| ( distinct_points @ A @ B )
| ( left_apart_point @ B @ L ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(129,plain,
( ( ! [A: $i,L: $i,M: $i] :
( ~ ( left_apart_point @ A @ L )
| ~ ( unequally_directed_lines @ L @ M )
| ( distinct_lines @ L @ M )
| ( left_apart_point @ A @ ( reverse_line @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(130,plain,
( ( ! [L: $i,M: $i] :
( ~ ( left_convergent_lines @ L @ M )
| ! [N: $i] :
( ( left_convergent_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(131,plain,
( ( left_apart_point @ sK2_SY74 @ ( reverse_line @ sK3_SY76 ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(132,plain,
( ( left_apart_point @ sK1_A @ sK3_SY76 )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(133,plain,
( ( ~ ( distinct_points @ sK1_A @ sK2_SY74 ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(134,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ SX1 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(135,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ SX1 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(136,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ( convergent_lines @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(137,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ! [SX2: $i] :
( ( unequally_directed_lines @ SX0 @ SX2 )
| ( unequally_directed_lines @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ! [SX2: $i] :
( ( unequally_directed_lines @ SX0 @ SX2 )
| ( unequally_directed_lines @ SX1 @ ( reverse_line @ SX2 ) ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ! [SX2: $i] :
( ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX2 ) )
| ( unequally_directed_lines @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ! [SX2: $i] :
( ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX2 ) )
| ( unequally_directed_lines @ SX1 @ ( reverse_line @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(138,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX0 @ ( line_connecting @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX1 @ ( line_connecting @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(139,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( apart_point_and_line @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(140,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(141,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( divides_points @ SX2 @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX2 )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( divides_points @ SX2 @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX2 )
| ( left_apart_point @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( divides_points @ SX2 @ SX0 @ SX1 )
| ( left_apart_point @ SX1 @ ( reverse_line @ SX2 ) )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( divides_points @ SX2 @ SX0 @ SX1 )
| ( left_apart_point @ SX1 @ ( reverse_line @ SX2 ) )
| ( left_apart_point @ SX1 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( left_apart_point @ SX0 @ SX2 )
| ~ ( left_apart_point @ SX1 @ ( reverse_line @ SX2 ) )
| ( divides_points @ SX2 @ SX0 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX2 ) )
| ~ ( left_apart_point @ SX1 @ SX2 )
| ( divides_points @ SX2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(142,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( distinct_points @ SX1 @ SX2 )
| ( left_apart_point @ SX1 @ SX0 )
| ( left_apart_point @ SX1 @ ( reverse_line @ SX0 ) )
| ( left_apart_point @ SX2 @ SX0 )
| ( left_apart_point @ SX2 @ ( reverse_line @ SX0 ) )
| ( unequally_directed_lines @ SX0 @ ( line_connecting @ SX1 @ SX2 ) )
| ( before_on_line @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ( distinct_points @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( left_apart_point @ SX1 @ SX0 ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( left_apart_point @ SX1 @ ( reverse_line @ SX0 ) ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( left_apart_point @ SX2 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( left_apart_point @ SX2 @ ( reverse_line @ SX0 ) ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( unequally_directed_lines @ SX0 @ ( line_connecting @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(143,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX1 @ SX2 )
| ( before_on_line @ SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i] :
( ! [SX3: $i] :
~ ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX1 @ SX2 )
| ( before_on_line @ SX0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( before_on_line @ SX0 @ SX2 @ SX3 )
| ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( before_on_line @ SX0 @ SX3 @ SX2 )
| ~ ( before_on_line @ SX0 @ SX2 @ SX1 )
| ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(144,plain,
! [SV1: $i] :
( ( ~ ( distinct_points @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(145,plain,
! [SV2: $i] :
( ( ! [SY77: $i] :
( ~ ( distinct_points @ SV2 @ SY77 )
| ! [SY78: $i] :
( ( distinct_points @ SV2 @ SY78 )
| ( distinct_points @ SY77 @ SY78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(146,plain,
! [SV3: $i] :
( ( ~ ( distinct_lines @ SV3 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(147,plain,
! [SV4: $i] :
( ( ! [SY79: $i] :
( ~ ( distinct_lines @ SV4 @ SY79 )
| ! [SY80: $i] :
( ( distinct_lines @ SV4 @ SY80 )
| ( distinct_lines @ SY79 @ SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(148,plain,
! [SV5: $i] :
( ( ~ ( unequally_directed_lines @ SV5 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(149,plain,
! [SV6: $i] :
( ( ! [SY81: $i] :
( ~ ( unequally_directed_lines @ SV6 @ SY81 )
| ! [SY82: $i] :
( ( unequally_directed_lines @ SV6 @ SY82 )
| ( unequally_directed_lines @ SY81 @ SY82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(150,plain,
! [SV7: $i] :
( ( ! [SY83: $i] :
( ~ ( line @ SV7 )
| ~ ( line @ SY83 )
| ( unequally_directed_lines @ SV7 @ SY83 )
| ( unequally_directed_lines @ SV7 @ ( reverse_line @ SY83 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(151,plain,
! [SV8: $i] :
( ( ! [SY84: $i] :
( ~ ( unequally_directed_lines @ SV8 @ SY84 )
| ~ ( unequally_directed_lines @ SV8 @ ( reverse_line @ SY84 ) )
| ( left_convergent_lines @ SV8 @ SY84 )
| ( left_convergent_lines @ SV8 @ ( reverse_line @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(152,plain,
! [SV9: $i] :
( ( ! [SY85: $i] :
( ~ ( point @ SV9 )
| ~ ( point @ SY85 )
| ~ ( distinct_points @ SV9 @ SY85 )
| ( line @ ( line_connecting @ SV9 @ SY85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(153,plain,
! [SV10: $i] :
( ( ! [SY86: $i] :
( ~ ( line @ SV10 )
| ~ ( line @ SY86 )
| ~ ( unequally_directed_lines @ SV10 @ SY86 )
| ~ ( unequally_directed_lines @ SV10 @ ( reverse_line @ SY86 ) )
| ( point @ ( intersection_point @ SV10 @ SY86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(154,plain,
! [SV11: $i] :
( ( ! [SY87: $i] :
( ~ ( line @ SV11 )
| ~ ( point @ SY87 )
| ( line @ ( parallel_through_point @ SV11 @ SY87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(155,plain,
! [SV12: $i] :
( ( ~ ( line @ SV12 )
| ( line @ ( reverse_line @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(156,plain,
! [SV13: $i] :
( ( ! [SY88: $i] :
~ ( apart_point_and_line @ SV13 @ ( parallel_through_point @ SY88 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(157,plain,
! [SV14: $i] :
( ( ~ ( distinct_lines @ SV14 @ ( reverse_line @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(158,plain,
! [SV15: $i] :
( ( ! [SY89: $i] :
~ ( unequally_directed_lines @ ( line_connecting @ SV15 @ SY89 ) @ ( reverse_line @ ( line_connecting @ SY89 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(159,plain,
! [SV16: $i] :
( ( ! [SY90: $i] :
~ ( unequally_directed_lines @ ( parallel_through_point @ SY90 @ SV16 ) @ SY90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(160,plain,
! [SV17: $i] :
( ( ! [SY91: $i,SY92: $i,SY93: $i] :
( ~ ( distinct_lines @ SY92 @ SY93 )
| ~ ( distinct_points @ SV17 @ SY91 )
| ( left_apart_point @ SY91 @ ( reverse_line @ SY93 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SY93 ) )
| ( left_apart_point @ SY91 @ ( reverse_line @ SY92 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SY92 ) )
| ( left_apart_point @ SY91 @ SY93 )
| ( left_apart_point @ SV17 @ SY93 )
| ( left_apart_point @ SV17 @ SY92 )
| ( left_apart_point @ SY91 @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(161,plain,
! [SV18: $i] :
( ( ! [SY94: $i,SY95: $i] :
( ~ ( distinct_points @ SV18 @ SY94 )
| ~ ( left_apart_point @ SV18 @ SY95 )
| ( left_apart_point @ SY94 @ SY95 )
| ( left_convergent_lines @ ( line_connecting @ SV18 @ SY94 ) @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(162,plain,
! [SV19: $i] :
( ( ! [SY96: $i,SY97: $i] :
( ~ ( left_apart_point @ SV19 @ SY97 )
| ( distinct_points @ SV19 @ SY96 )
| ( left_apart_point @ SY96 @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(163,plain,
! [SV20: $i] :
( ( ! [SY98: $i,SY99: $i] :
( ~ ( left_apart_point @ SV20 @ SY98 )
| ~ ( unequally_directed_lines @ SY98 @ SY99 )
| ( distinct_lines @ SY98 @ SY99 )
| ( left_apart_point @ SV20 @ ( reverse_line @ SY99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(164,plain,
! [SV21: $i] :
( ( ! [SY100: $i] :
( ~ ( left_convergent_lines @ SV21 @ SY100 )
| ! [SY101: $i] :
( ( left_convergent_lines @ SV21 @ SY101 )
| ( unequally_directed_lines @ SY100 @ SY101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(165,plain,
( ( distinct_points @ sK1_A @ sK2_SY74 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(166,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ SX1 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ ( reverse_line @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(167,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ SX1 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(168,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ( convergent_lines @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(169,plain,
! [SV22: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY102: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY102 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY102 ) )
| ! [SY103: $i] :
( ( unequally_directed_lines @ SV22 @ SY103 )
| ( unequally_directed_lines @ SY102 @ SY103 ) ) )
| ~ ! [SY104: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY104 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY104 ) )
| ! [SY105: $i] :
( ( unequally_directed_lines @ SV22 @ SY105 )
| ( unequally_directed_lines @ SY104 @ ( reverse_line @ SY105 ) ) ) ) )
| ~ ~ ( ~ ! [SY106: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY106 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY106 ) )
| ! [SY107: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY107 ) )
| ( unequally_directed_lines @ SY106 @ SY107 ) ) )
| ~ ! [SY108: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY108 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY108 ) )
| ! [SY109: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY109 ) )
| ( unequally_directed_lines @ SY108 @ ( reverse_line @ SY109 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(170,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX0 @ ( line_connecting @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX1 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(171,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( apart_point_and_line @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(172,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(173,plain,
! [SV23: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY110: $i,SY111: $i] :
( ~ ( divides_points @ SY111 @ SV23 @ SY110 )
| ( left_apart_point @ SV23 @ SY111 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY111 ) ) )
| ~ ! [SY112: $i,SY113: $i] :
( ~ ( divides_points @ SY113 @ SV23 @ SY112 )
| ( left_apart_point @ SV23 @ SY113 )
| ( left_apart_point @ SY112 @ SY113 ) ) )
| ~ ~ ( ~ ! [SY114: $i,SY115: $i] :
( ~ ( divides_points @ SY115 @ SV23 @ SY114 )
| ( left_apart_point @ SY114 @ ( reverse_line @ SY115 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY115 ) ) )
| ~ ! [SY116: $i,SY117: $i] :
( ~ ( divides_points @ SY117 @ SV23 @ SY116 )
| ( left_apart_point @ SY116 @ ( reverse_line @ SY117 ) )
| ( left_apart_point @ SY116 @ SY117 ) ) ) )
| ~ ~ ( ~ ! [SY118: $i,SY119: $i] :
( ~ ( left_apart_point @ SV23 @ SY119 )
| ~ ( left_apart_point @ SY118 @ ( reverse_line @ SY119 ) )
| ( divides_points @ SY119 @ SV23 @ SY118 ) )
| ~ ! [SY120: $i,SY121: $i] :
( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SY121 ) )
| ~ ( left_apart_point @ SY120 @ SY121 )
| ( divides_points @ SY121 @ SV23 @ SY120 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(174,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( distinct_points @ SY122 @ SY123 )
| ( left_apart_point @ SY122 @ SV24 )
| ( left_apart_point @ SY122 @ ( reverse_line @ SV24 ) )
| ( left_apart_point @ SY123 @ SV24 )
| ( left_apart_point @ SY123 @ ( reverse_line @ SV24 ) )
| ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY122 @ SY123 ) )
| ( before_on_line @ SV24 @ SY122 @ SY123 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( before_on_line @ SV24 @ SY134 @ SY135 )
| ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY134 @ SY135 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(175,plain,
! [SV25: $i] :
( ( ! [SY136: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SY137: $i,SY138: $i] :
( ~ ( between_on_line @ SV25 @ SY136 @ SY137 @ SY138 )
| ( before_on_line @ SV25 @ SY136 @ SY137 )
| ( before_on_line @ SV25 @ SY138 @ SY137 ) )
| ~ ! [SY139: $i] :
( ! [SY140: $i] :
~ ( between_on_line @ SV25 @ SY136 @ SY139 @ SY140 )
| ( before_on_line @ SV25 @ SY136 @ SY139 )
| ( before_on_line @ SV25 @ SY139 @ SY136 ) ) )
| ~ ~ ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( between_on_line @ SV25 @ SY136 @ SY141 @ SY142 )
| ( before_on_line @ SV25 @ SY141 @ SY142 )
| ( before_on_line @ SV25 @ SY142 @ SY141 ) )
| ~ ! [SY143: $i,SY144: $i] :
( ~ ( between_on_line @ SV25 @ SY136 @ SY143 @ SY144 )
| ( before_on_line @ SV25 @ SY143 @ SY144 )
| ( before_on_line @ SV25 @ SY143 @ SY136 ) ) ) )
| ~ ~ ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( before_on_line @ SV25 @ SY136 @ SY145 )
| ~ ( before_on_line @ SV25 @ SY145 @ SY146 )
| ( between_on_line @ SV25 @ SY136 @ SY145 @ SY146 ) )
| ~ ! [SY147: $i,SY148: $i] :
( ~ ( before_on_line @ SV25 @ SY148 @ SY147 )
| ~ ( before_on_line @ SV25 @ SY147 @ SY136 )
| ( between_on_line @ SV25 @ SY136 @ SY147 @ SY148 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(176,plain,
! [SV1: $i] :
( ( distinct_points @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(177,plain,
! [SV26: $i,SV2: $i] :
( ( ~ ( distinct_points @ SV2 @ SV26 )
| ! [SY149: $i] :
( ( distinct_points @ SV2 @ SY149 )
| ( distinct_points @ SV26 @ SY149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(178,plain,
! [SV3: $i] :
( ( distinct_lines @ SV3 @ SV3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(179,plain,
! [SV27: $i,SV4: $i] :
( ( ~ ( distinct_lines @ SV4 @ SV27 )
| ! [SY150: $i] :
( ( distinct_lines @ SV4 @ SY150 )
| ( distinct_lines @ SV27 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(180,plain,
! [SV5: $i] :
( ( unequally_directed_lines @ SV5 @ SV5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(181,plain,
! [SV28: $i,SV6: $i] :
( ( ~ ( unequally_directed_lines @ SV6 @ SV28 )
| ! [SY151: $i] :
( ( unequally_directed_lines @ SV6 @ SY151 )
| ( unequally_directed_lines @ SV28 @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(182,plain,
! [SV29: $i,SV7: $i] :
( ( ~ ( line @ SV7 )
| ~ ( line @ SV29 )
| ( unequally_directed_lines @ SV7 @ SV29 )
| ( unequally_directed_lines @ SV7 @ ( reverse_line @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(183,plain,
! [SV30: $i,SV8: $i] :
( ( ~ ( unequally_directed_lines @ SV8 @ SV30 )
| ~ ( unequally_directed_lines @ SV8 @ ( reverse_line @ SV30 ) )
| ( left_convergent_lines @ SV8 @ SV30 )
| ( left_convergent_lines @ SV8 @ ( reverse_line @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(184,plain,
! [SV31: $i,SV9: $i] :
( ( ~ ( point @ SV9 )
| ~ ( point @ SV31 )
| ~ ( distinct_points @ SV9 @ SV31 )
| ( line @ ( line_connecting @ SV9 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(185,plain,
! [SV32: $i,SV10: $i] :
( ( ~ ( line @ SV10 )
| ~ ( line @ SV32 )
| ~ ( unequally_directed_lines @ SV10 @ SV32 )
| ~ ( unequally_directed_lines @ SV10 @ ( reverse_line @ SV32 ) )
| ( point @ ( intersection_point @ SV10 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(186,plain,
! [SV33: $i,SV11: $i] :
( ( ~ ( line @ SV11 )
| ~ ( point @ SV33 )
| ( line @ ( parallel_through_point @ SV11 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(187,plain,
! [SV12: $i] :
( ( ( ~ ( line @ SV12 ) )
= $true )
| ( ( line @ ( reverse_line @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(188,plain,
! [SV34: $i,SV13: $i] :
( ( ~ ( apart_point_and_line @ SV13 @ ( parallel_through_point @ SV34 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(189,plain,
! [SV14: $i] :
( ( distinct_lines @ SV14 @ ( reverse_line @ SV14 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(190,plain,
! [SV35: $i,SV15: $i] :
( ( ~ ( unequally_directed_lines @ ( line_connecting @ SV15 @ SV35 ) @ ( reverse_line @ ( line_connecting @ SV35 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(191,plain,
! [SV16: $i,SV36: $i] :
( ( ~ ( unequally_directed_lines @ ( parallel_through_point @ SV36 @ SV16 ) @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(192,plain,
! [SV37: $i,SV17: $i] :
( ( ! [SY152: $i,SY153: $i] :
( ~ ( distinct_lines @ SY152 @ SY153 )
| ~ ( distinct_points @ SV17 @ SV37 )
| ( left_apart_point @ SV37 @ ( reverse_line @ SY153 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SY153 ) )
| ( left_apart_point @ SV37 @ ( reverse_line @ SY152 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SY152 ) )
| ( left_apart_point @ SV37 @ SY153 )
| ( left_apart_point @ SV17 @ SY153 )
| ( left_apart_point @ SV17 @ SY152 )
| ( left_apart_point @ SV37 @ SY152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(193,plain,
! [SV38: $i,SV18: $i] :
( ( ! [SY154: $i] :
( ~ ( distinct_points @ SV18 @ SV38 )
| ~ ( left_apart_point @ SV18 @ SY154 )
| ( left_apart_point @ SV38 @ SY154 )
| ( left_convergent_lines @ ( line_connecting @ SV18 @ SV38 ) @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(194,plain,
! [SV39: $i,SV19: $i] :
( ( ! [SY155: $i] :
( ~ ( left_apart_point @ SV19 @ SY155 )
| ( distinct_points @ SV19 @ SV39 )
| ( left_apart_point @ SV39 @ SY155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(195,plain,
! [SV40: $i,SV20: $i] :
( ( ! [SY156: $i] :
( ~ ( left_apart_point @ SV20 @ SV40 )
| ~ ( unequally_directed_lines @ SV40 @ SY156 )
| ( distinct_lines @ SV40 @ SY156 )
| ( left_apart_point @ SV20 @ ( reverse_line @ SY156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(196,plain,
! [SV41: $i,SV21: $i] :
( ( ~ ( left_convergent_lines @ SV21 @ SV41 )
| ! [SY157: $i] :
( ( left_convergent_lines @ SV21 @ SY157 )
| ( unequally_directed_lines @ SV41 @ SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(197,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(198,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ ( reverse_line @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(199,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(200,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(201,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ( convergent_lines @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(202,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(203,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ! [SY102: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY102 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY102 ) )
| ! [SY103: $i] :
( ( unequally_directed_lines @ SV22 @ SY103 )
| ( unequally_directed_lines @ SY102 @ SY103 ) ) )
| ~ ! [SY104: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY104 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY104 ) )
| ! [SY105: $i] :
( ( unequally_directed_lines @ SV22 @ SY105 )
| ( unequally_directed_lines @ SY104 @ ( reverse_line @ SY105 ) ) ) ) )
| ~ ~ ( ~ ! [SY106: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY106 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY106 ) )
| ! [SY107: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY107 ) )
| ( unequally_directed_lines @ SY106 @ SY107 ) ) )
| ~ ! [SY108: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY108 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY108 ) )
| ! [SY109: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY109 ) )
| ( unequally_directed_lines @ SY108 @ ( reverse_line @ SY109 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(204,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX0 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(205,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX1 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(206,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( apart_point_and_line @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(207,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(208,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(209,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(210,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY110: $i,SY111: $i] :
( ~ ( divides_points @ SY111 @ SV23 @ SY110 )
| ( left_apart_point @ SV23 @ SY111 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY111 ) ) )
| ~ ! [SY112: $i,SY113: $i] :
( ~ ( divides_points @ SY113 @ SV23 @ SY112 )
| ( left_apart_point @ SV23 @ SY113 )
| ( left_apart_point @ SY112 @ SY113 ) ) )
| ~ ~ ( ~ ! [SY114: $i,SY115: $i] :
( ~ ( divides_points @ SY115 @ SV23 @ SY114 )
| ( left_apart_point @ SY114 @ ( reverse_line @ SY115 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY115 ) ) )
| ~ ! [SY116: $i,SY117: $i] :
( ~ ( divides_points @ SY117 @ SV23 @ SY116 )
| ( left_apart_point @ SY116 @ ( reverse_line @ SY117 ) )
| ( left_apart_point @ SY116 @ SY117 ) ) ) )
| ~ ~ ( ~ ! [SY118: $i,SY119: $i] :
( ~ ( left_apart_point @ SV23 @ SY119 )
| ~ ( left_apart_point @ SY118 @ ( reverse_line @ SY119 ) )
| ( divides_points @ SY119 @ SV23 @ SY118 ) )
| ~ ! [SY120: $i,SY121: $i] :
( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SY121 ) )
| ~ ( left_apart_point @ SY120 @ SY121 )
| ( divides_points @ SY121 @ SV23 @ SY120 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(211,plain,
! [SV24: $i] :
( ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( distinct_points @ SY122 @ SY123 )
| ( left_apart_point @ SY122 @ SV24 )
| ( left_apart_point @ SY122 @ ( reverse_line @ SV24 ) )
| ( left_apart_point @ SY123 @ SV24 )
| ( left_apart_point @ SY123 @ ( reverse_line @ SV24 ) )
| ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY122 @ SY123 ) )
| ( before_on_line @ SV24 @ SY122 @ SY123 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( before_on_line @ SV24 @ SY134 @ SY135 )
| ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY134 @ SY135 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(212,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY158 @ SY159 )
| ( before_on_line @ SV25 @ SV42 @ SY158 )
| ( before_on_line @ SV25 @ SY159 @ SY158 ) )
| ~ ! [SY160: $i] :
( ! [SY161: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SY160 @ SY161 )
| ( before_on_line @ SV25 @ SV42 @ SY160 )
| ( before_on_line @ SV25 @ SY160 @ SV42 ) ) )
| ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY163 @ SY162 ) )
| ~ ! [SY164: $i,SY165: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SV42 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i,SY167: $i] :
( ~ ( before_on_line @ SV25 @ SV42 @ SY166 )
| ~ ( before_on_line @ SV25 @ SY166 @ SY167 )
| ( between_on_line @ SV25 @ SV42 @ SY166 @ SY167 ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( before_on_line @ SV25 @ SY169 @ SY168 )
| ~ ( before_on_line @ SV25 @ SY168 @ SV42 )
| ( between_on_line @ SV25 @ SV42 @ SY168 @ SY169 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(213,plain,
! [SV26: $i,SV2: $i] :
( ( ( ~ ( distinct_points @ SV2 @ SV26 ) )
= $true )
| ( ( ! [SY149: $i] :
( ( distinct_points @ SV2 @ SY149 )
| ( distinct_points @ SV26 @ SY149 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(214,plain,
! [SV27: $i,SV4: $i] :
( ( ( ~ ( distinct_lines @ SV4 @ SV27 ) )
= $true )
| ( ( ! [SY150: $i] :
( ( distinct_lines @ SV4 @ SY150 )
| ( distinct_lines @ SV27 @ SY150 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(215,plain,
! [SV28: $i,SV6: $i] :
( ( ( ~ ( unequally_directed_lines @ SV6 @ SV28 ) )
= $true )
| ( ( ! [SY151: $i] :
( ( unequally_directed_lines @ SV6 @ SY151 )
| ( unequally_directed_lines @ SV28 @ SY151 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(216,plain,
! [SV29: $i,SV7: $i] :
( ( ( ~ ( line @ SV7 )
| ~ ( line @ SV29 ) )
= $true )
| ( ( ( unequally_directed_lines @ SV7 @ SV29 )
| ( unequally_directed_lines @ SV7 @ ( reverse_line @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(217,plain,
! [SV30: $i,SV8: $i] :
( ( ( ~ ( unequally_directed_lines @ SV8 @ SV30 )
| ~ ( unequally_directed_lines @ SV8 @ ( reverse_line @ SV30 ) ) )
= $true )
| ( ( ( left_convergent_lines @ SV8 @ SV30 )
| ( left_convergent_lines @ SV8 @ ( reverse_line @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(218,plain,
! [SV31: $i,SV9: $i] :
( ( ( ~ ( point @ SV9 )
| ~ ( point @ SV31 )
| ~ ( distinct_points @ SV9 @ SV31 ) )
= $true )
| ( ( line @ ( line_connecting @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(219,plain,
! [SV32: $i,SV10: $i] :
( ( ( ~ ( line @ SV10 )
| ~ ( line @ SV32 )
| ~ ( unequally_directed_lines @ SV10 @ SV32 )
| ~ ( unequally_directed_lines @ SV10 @ ( reverse_line @ SV32 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV10 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(220,plain,
! [SV33: $i,SV11: $i] :
( ( ( ~ ( line @ SV11 )
| ~ ( point @ SV33 ) )
= $true )
| ( ( line @ ( parallel_through_point @ SV11 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(221,plain,
! [SV12: $i] :
( ( ( line @ SV12 )
= $false )
| ( ( line @ ( reverse_line @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(222,plain,
! [SV34: $i,SV13: $i] :
( ( apart_point_and_line @ SV13 @ ( parallel_through_point @ SV34 @ SV13 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(223,plain,
! [SV35: $i,SV15: $i] :
( ( unequally_directed_lines @ ( line_connecting @ SV15 @ SV35 ) @ ( reverse_line @ ( line_connecting @ SV35 @ SV15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(224,plain,
! [SV16: $i,SV36: $i] :
( ( unequally_directed_lines @ ( parallel_through_point @ SV36 @ SV16 ) @ SV36 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(225,plain,
! [SV37: $i,SV17: $i,SV43: $i] :
( ( ! [SY170: $i] :
( ~ ( distinct_lines @ SV43 @ SY170 )
| ~ ( distinct_points @ SV17 @ SV37 )
| ( left_apart_point @ SV37 @ ( reverse_line @ SY170 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SY170 ) )
| ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV37 @ SY170 )
| ( left_apart_point @ SV17 @ SY170 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(226,plain,
! [SV44: $i,SV38: $i,SV18: $i] :
( ( ~ ( distinct_points @ SV18 @ SV38 )
| ~ ( left_apart_point @ SV18 @ SV44 )
| ( left_apart_point @ SV38 @ SV44 )
| ( left_convergent_lines @ ( line_connecting @ SV18 @ SV38 ) @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(227,plain,
! [SV39: $i,SV45: $i,SV19: $i] :
( ( ~ ( left_apart_point @ SV19 @ SV45 )
| ( distinct_points @ SV19 @ SV39 )
| ( left_apart_point @ SV39 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(228,plain,
! [SV46: $i,SV40: $i,SV20: $i] :
( ( ~ ( left_apart_point @ SV20 @ SV40 )
| ~ ( unequally_directed_lines @ SV40 @ SV46 )
| ( distinct_lines @ SV40 @ SV46 )
| ( left_apart_point @ SV20 @ ( reverse_line @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(229,plain,
! [SV41: $i,SV21: $i] :
( ( ( ~ ( left_convergent_lines @ SV21 @ SV41 ) )
= $true )
| ( ( ! [SY157: $i] :
( ( left_convergent_lines @ SV21 @ SY157 )
| ( unequally_directed_lines @ SV41 @ SY157 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(230,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(231,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ ( reverse_line @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(232,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(233,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(234,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ( convergent_lines @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(235,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(236,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ! [SY102: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY102 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY102 ) )
| ! [SY103: $i] :
( ( unequally_directed_lines @ SV22 @ SY103 )
| ( unequally_directed_lines @ SY102 @ SY103 ) ) )
| ~ ! [SY104: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY104 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY104 ) )
| ! [SY105: $i] :
( ( unequally_directed_lines @ SV22 @ SY105 )
| ( unequally_directed_lines @ SY104 @ ( reverse_line @ SY105 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(237,plain,
! [SV22: $i] :
( ( ~ ~ ( ~ ! [SY106: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY106 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY106 ) )
| ! [SY107: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY107 ) )
| ( unequally_directed_lines @ SY106 @ SY107 ) ) )
| ~ ! [SY108: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY108 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY108 ) )
| ! [SY109: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY109 ) )
| ( unequally_directed_lines @ SY108 @ ( reverse_line @ SY109 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(238,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX0 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(239,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX1 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(240,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( apart_point_and_line @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(241,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(242,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(243,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(244,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY110: $i,SY111: $i] :
( ~ ( divides_points @ SY111 @ SV23 @ SY110 )
| ( left_apart_point @ SV23 @ SY111 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY111 ) ) )
| ~ ! [SY112: $i,SY113: $i] :
( ~ ( divides_points @ SY113 @ SV23 @ SY112 )
| ( left_apart_point @ SV23 @ SY113 )
| ( left_apart_point @ SY112 @ SY113 ) ) )
| ~ ~ ( ~ ! [SY114: $i,SY115: $i] :
( ~ ( divides_points @ SY115 @ SV23 @ SY114 )
| ( left_apart_point @ SY114 @ ( reverse_line @ SY115 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY115 ) ) )
| ~ ! [SY116: $i,SY117: $i] :
( ~ ( divides_points @ SY117 @ SV23 @ SY116 )
| ( left_apart_point @ SY116 @ ( reverse_line @ SY117 ) )
| ( left_apart_point @ SY116 @ SY117 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(245,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ! [SY118: $i,SY119: $i] :
( ~ ( left_apart_point @ SV23 @ SY119 )
| ~ ( left_apart_point @ SY118 @ ( reverse_line @ SY119 ) )
| ( divides_points @ SY119 @ SV23 @ SY118 ) )
| ~ ! [SY120: $i,SY121: $i] :
( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SY121 ) )
| ~ ( left_apart_point @ SY120 @ SY121 )
| ( divides_points @ SY121 @ SV23 @ SY120 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(246,plain,
! [SV24: $i] :
( ( ~ ! [SY122: $i,SY123: $i] :
( ~ ( distinct_points @ SY122 @ SY123 )
| ( left_apart_point @ SY122 @ SV24 )
| ( left_apart_point @ SY122 @ ( reverse_line @ SV24 ) )
| ( left_apart_point @ SY123 @ SV24 )
| ( left_apart_point @ SY123 @ ( reverse_line @ SV24 ) )
| ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY122 @ SY123 ) )
| ( before_on_line @ SV24 @ SY122 @ SY123 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(247,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( before_on_line @ SV24 @ SY134 @ SY135 )
| ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY134 @ SY135 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[211]) ).
thf(248,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY158 @ SY159 )
| ( before_on_line @ SV25 @ SV42 @ SY158 )
| ( before_on_line @ SV25 @ SY159 @ SY158 ) )
| ~ ! [SY160: $i] :
( ! [SY161: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SY160 @ SY161 )
| ( before_on_line @ SV25 @ SV42 @ SY160 )
| ( before_on_line @ SV25 @ SY160 @ SV42 ) ) )
| ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY163 @ SY162 ) )
| ~ ! [SY164: $i,SY165: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SV42 ) ) ) )
| ~ ~ ( ~ ! [SY166: $i,SY167: $i] :
( ~ ( before_on_line @ SV25 @ SV42 @ SY166 )
| ~ ( before_on_line @ SV25 @ SY166 @ SY167 )
| ( between_on_line @ SV25 @ SV42 @ SY166 @ SY167 ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( before_on_line @ SV25 @ SY169 @ SY168 )
| ~ ( before_on_line @ SV25 @ SY168 @ SV42 )
| ( between_on_line @ SV25 @ SV42 @ SY168 @ SY169 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(249,plain,
! [SV26: $i,SV2: $i] :
( ( ( distinct_points @ SV2 @ SV26 )
= $false )
| ( ( ! [SY149: $i] :
( ( distinct_points @ SV2 @ SY149 )
| ( distinct_points @ SV26 @ SY149 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(250,plain,
! [SV27: $i,SV4: $i] :
( ( ( distinct_lines @ SV4 @ SV27 )
= $false )
| ( ( ! [SY150: $i] :
( ( distinct_lines @ SV4 @ SY150 )
| ( distinct_lines @ SV27 @ SY150 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(251,plain,
! [SV28: $i,SV6: $i] :
( ( ( unequally_directed_lines @ SV6 @ SV28 )
= $false )
| ( ( ! [SY151: $i] :
( ( unequally_directed_lines @ SV6 @ SY151 )
| ( unequally_directed_lines @ SV28 @ SY151 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(252,plain,
! [SV29: $i,SV7: $i] :
( ( ( ~ ( line @ SV7 ) )
= $true )
| ( ( ~ ( line @ SV29 ) )
= $true )
| ( ( ( unequally_directed_lines @ SV7 @ SV29 )
| ( unequally_directed_lines @ SV7 @ ( reverse_line @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(253,plain,
! [SV30: $i,SV8: $i] :
( ( ( ~ ( unequally_directed_lines @ SV8 @ SV30 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV8 @ ( reverse_line @ SV30 ) ) )
= $true )
| ( ( ( left_convergent_lines @ SV8 @ SV30 )
| ( left_convergent_lines @ SV8 @ ( reverse_line @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(254,plain,
! [SV31: $i,SV9: $i] :
( ( ( ~ ( point @ SV9 )
| ~ ( point @ SV31 ) )
= $true )
| ( ( ~ ( distinct_points @ SV9 @ SV31 ) )
= $true )
| ( ( line @ ( line_connecting @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(255,plain,
! [SV32: $i,SV10: $i] :
( ( ( ~ ( line @ SV10 )
| ~ ( line @ SV32 )
| ~ ( unequally_directed_lines @ SV10 @ SV32 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV10 @ ( reverse_line @ SV32 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV10 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(256,plain,
! [SV33: $i,SV11: $i] :
( ( ( ~ ( line @ SV11 ) )
= $true )
| ( ( ~ ( point @ SV33 ) )
= $true )
| ( ( line @ ( parallel_through_point @ SV11 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(257,plain,
! [SV37: $i,SV17: $i,SV47: $i,SV43: $i] :
( ( ~ ( distinct_lines @ SV43 @ SV47 )
| ~ ( distinct_points @ SV17 @ SV37 )
| ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV37 @ SV47 )
| ( left_apart_point @ SV17 @ SV47 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(258,plain,
! [SV44: $i,SV38: $i,SV18: $i] :
( ( ( ~ ( distinct_points @ SV18 @ SV38 )
| ~ ( left_apart_point @ SV18 @ SV44 ) )
= $true )
| ( ( ( left_apart_point @ SV38 @ SV44 )
| ( left_convergent_lines @ ( line_connecting @ SV18 @ SV38 ) @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(259,plain,
! [SV39: $i,SV45: $i,SV19: $i] :
( ( ( ~ ( left_apart_point @ SV19 @ SV45 ) )
= $true )
| ( ( ( distinct_points @ SV19 @ SV39 )
| ( left_apart_point @ SV39 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(260,plain,
! [SV46: $i,SV40: $i,SV20: $i] :
( ( ( ~ ( left_apart_point @ SV20 @ SV40 )
| ~ ( unequally_directed_lines @ SV40 @ SV46 ) )
= $true )
| ( ( ( distinct_lines @ SV40 @ SV46 )
| ( left_apart_point @ SV20 @ ( reverse_line @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(261,plain,
! [SV41: $i,SV21: $i] :
( ( ( left_convergent_lines @ SV21 @ SV41 )
= $false )
| ( ( ! [SY157: $i] :
( ( left_convergent_lines @ SV21 @ SY157 )
| ( unequally_directed_lines @ SV41 @ SY157 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(262,plain,
! [SV48: $i] :
( ( ! [SY171: $i] :
~ ( left_convergent_lines @ SV48 @ SY171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(263,plain,
! [SV49: $i] :
( ( ! [SY172: $i] :
~ ( left_convergent_lines @ SV49 @ ( reverse_line @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(264,plain,
! [SV50: $i] :
( ( ! [SY173: $i] :
~ ( left_apart_point @ SV50 @ SY173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(265,plain,
! [SV51: $i] :
( ( ! [SY174: $i] :
~ ( left_apart_point @ SV51 @ ( reverse_line @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(266,plain,
! [SV52: $i] :
( ( ! [SY175: $i] :
( ~ ( unequally_directed_lines @ SV52 @ SY175 )
| ~ ( unequally_directed_lines @ SV52 @ ( reverse_line @ SY175 ) )
| ( convergent_lines @ SV52 @ SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(267,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(268,plain,
! [SV22: $i] :
( ( ~ ( ~ ! [SY102: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY102 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY102 ) )
| ! [SY103: $i] :
( ( unequally_directed_lines @ SV22 @ SY103 )
| ( unequally_directed_lines @ SY102 @ SY103 ) ) )
| ~ ! [SY104: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY104 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY104 ) )
| ! [SY105: $i] :
( ( unequally_directed_lines @ SV22 @ SY105 )
| ( unequally_directed_lines @ SY104 @ ( reverse_line @ SY105 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(269,plain,
! [SV22: $i] :
( ( ~ ( ~ ! [SY106: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY106 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY106 ) )
| ! [SY107: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY107 ) )
| ( unequally_directed_lines @ SY106 @ SY107 ) ) )
| ~ ! [SY108: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY108 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY108 ) )
| ! [SY109: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY109 ) )
| ( unequally_directed_lines @ SY108 @ ( reverse_line @ SY109 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(270,plain,
! [SV53: $i] :
( ( ! [SY176: $i] :
( ~ ( distinct_points @ SV53 @ SY176 )
| ~ ( apart_point_and_line @ SV53 @ ( line_connecting @ SV53 @ SY176 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(271,plain,
! [SV54: $i] :
( ( ! [SY177: $i] :
( ~ ( distinct_points @ SV54 @ SY177 )
| ~ ( apart_point_and_line @ SY177 @ ( line_connecting @ SV54 @ SY177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(272,plain,
! [SV55: $i] :
( ( ! [SY178: $i] :
( ~ ( apart_point_and_line @ SV55 @ SY178 )
| ( left_apart_point @ SV55 @ SY178 )
| ( left_apart_point @ SV55 @ ( reverse_line @ SY178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(273,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(274,plain,
! [SV56: $i] :
( ( ! [SY179: $i] :
( ~ ( unequally_directed_lines @ SV56 @ SY179 )
| ~ ( unequally_directed_lines @ SV56 @ ( reverse_line @ SY179 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SV56 @ SY179 ) @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(275,plain,
! [SV57: $i] :
( ( ! [SY180: $i] :
( ~ ( unequally_directed_lines @ SV57 @ SY180 )
| ~ ( unequally_directed_lines @ SV57 @ ( reverse_line @ SY180 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SV57 @ SY180 ) @ SY180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(276,plain,
! [SV23: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY110: $i,SY111: $i] :
( ~ ( divides_points @ SY111 @ SV23 @ SY110 )
| ( left_apart_point @ SV23 @ SY111 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY111 ) ) )
| ~ ! [SY112: $i,SY113: $i] :
( ~ ( divides_points @ SY113 @ SV23 @ SY112 )
| ( left_apart_point @ SV23 @ SY113 )
| ( left_apart_point @ SY112 @ SY113 ) ) )
| ~ ~ ( ~ ! [SY114: $i,SY115: $i] :
( ~ ( divides_points @ SY115 @ SV23 @ SY114 )
| ( left_apart_point @ SY114 @ ( reverse_line @ SY115 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY115 ) ) )
| ~ ! [SY116: $i,SY117: $i] :
( ~ ( divides_points @ SY117 @ SV23 @ SY116 )
| ( left_apart_point @ SY116 @ ( reverse_line @ SY117 ) )
| ( left_apart_point @ SY116 @ SY117 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(277,plain,
! [SV23: $i] :
( ( ~ ( ~ ! [SY118: $i,SY119: $i] :
( ~ ( left_apart_point @ SV23 @ SY119 )
| ~ ( left_apart_point @ SY118 @ ( reverse_line @ SY119 ) )
| ( divides_points @ SY119 @ SV23 @ SY118 ) )
| ~ ! [SY120: $i,SY121: $i] :
( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SY121 ) )
| ~ ( left_apart_point @ SY120 @ SY121 )
| ( divides_points @ SY121 @ SV23 @ SY120 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(278,plain,
! [SV24: $i] :
( ( ! [SY122: $i,SY123: $i] :
( ~ ( distinct_points @ SY122 @ SY123 )
| ( left_apart_point @ SY122 @ SV24 )
| ( left_apart_point @ SY122 @ ( reverse_line @ SV24 ) )
| ( left_apart_point @ SY123 @ SV24 )
| ( left_apart_point @ SY123 @ ( reverse_line @ SV24 ) )
| ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY122 @ SY123 ) )
| ( before_on_line @ SV24 @ SY122 @ SY123 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(279,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( before_on_line @ SV24 @ SY134 @ SY135 )
| ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY134 @ SY135 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(280,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY158 @ SY159 )
| ( before_on_line @ SV25 @ SV42 @ SY158 )
| ( before_on_line @ SV25 @ SY159 @ SY158 ) )
| ~ ! [SY160: $i] :
( ! [SY161: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SY160 @ SY161 )
| ( before_on_line @ SV25 @ SV42 @ SY160 )
| ( before_on_line @ SV25 @ SY160 @ SV42 ) ) )
| ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY163 @ SY162 ) )
| ~ ! [SY164: $i,SY165: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SV42 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(281,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ~ ( ~ ! [SY166: $i,SY167: $i] :
( ~ ( before_on_line @ SV25 @ SV42 @ SY166 )
| ~ ( before_on_line @ SV25 @ SY166 @ SY167 )
| ( between_on_line @ SV25 @ SV42 @ SY166 @ SY167 ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( before_on_line @ SV25 @ SY169 @ SY168 )
| ~ ( before_on_line @ SV25 @ SY168 @ SV42 )
| ( between_on_line @ SV25 @ SV42 @ SY168 @ SY169 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(282,plain,
! [SV26: $i,SV58: $i,SV2: $i] :
( ( ( ( distinct_points @ SV2 @ SV58 )
| ( distinct_points @ SV26 @ SV58 ) )
= $true )
| ( ( distinct_points @ SV2 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(283,plain,
! [SV27: $i,SV59: $i,SV4: $i] :
( ( ( ( distinct_lines @ SV4 @ SV59 )
| ( distinct_lines @ SV27 @ SV59 ) )
= $true )
| ( ( distinct_lines @ SV4 @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(284,plain,
! [SV28: $i,SV60: $i,SV6: $i] :
( ( ( ( unequally_directed_lines @ SV6 @ SV60 )
| ( unequally_directed_lines @ SV28 @ SV60 ) )
= $true )
| ( ( unequally_directed_lines @ SV6 @ SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(285,plain,
! [SV29: $i,SV7: $i] :
( ( ( line @ SV7 )
= $false )
| ( ( ~ ( line @ SV29 ) )
= $true )
| ( ( ( unequally_directed_lines @ SV7 @ SV29 )
| ( unequally_directed_lines @ SV7 @ ( reverse_line @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(286,plain,
! [SV30: $i,SV8: $i] :
( ( ( unequally_directed_lines @ SV8 @ SV30 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV8 @ ( reverse_line @ SV30 ) ) )
= $true )
| ( ( ( left_convergent_lines @ SV8 @ SV30 )
| ( left_convergent_lines @ SV8 @ ( reverse_line @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(287,plain,
! [SV31: $i,SV9: $i] :
( ( ( ~ ( point @ SV9 ) )
= $true )
| ( ( ~ ( point @ SV31 ) )
= $true )
| ( ( ~ ( distinct_points @ SV9 @ SV31 ) )
= $true )
| ( ( line @ ( line_connecting @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(288,plain,
! [SV32: $i,SV10: $i] :
( ( ( ~ ( line @ SV10 )
| ~ ( line @ SV32 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV10 @ SV32 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV10 @ ( reverse_line @ SV32 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV10 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(289,plain,
! [SV33: $i,SV11: $i] :
( ( ( line @ SV11 )
= $false )
| ( ( ~ ( point @ SV33 ) )
= $true )
| ( ( line @ ( parallel_through_point @ SV11 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(290,plain,
! [SV37: $i,SV17: $i,SV47: $i,SV43: $i] :
( ( ( ~ ( distinct_lines @ SV43 @ SV47 )
| ~ ( distinct_points @ SV17 @ SV37 ) )
= $true )
| ( ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV37 @ SV47 )
| ( left_apart_point @ SV17 @ SV47 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(291,plain,
! [SV44: $i,SV38: $i,SV18: $i] :
( ( ( ~ ( distinct_points @ SV18 @ SV38 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV18 @ SV44 ) )
= $true )
| ( ( ( left_apart_point @ SV38 @ SV44 )
| ( left_convergent_lines @ ( line_connecting @ SV18 @ SV38 ) @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(292,plain,
! [SV39: $i,SV45: $i,SV19: $i] :
( ( ( left_apart_point @ SV19 @ SV45 )
= $false )
| ( ( ( distinct_points @ SV19 @ SV39 )
| ( left_apart_point @ SV39 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(293,plain,
! [SV46: $i,SV40: $i,SV20: $i] :
( ( ( ~ ( left_apart_point @ SV20 @ SV40 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV40 @ SV46 ) )
= $true )
| ( ( ( distinct_lines @ SV40 @ SV46 )
| ( left_apart_point @ SV20 @ ( reverse_line @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(294,plain,
! [SV41: $i,SV61: $i,SV21: $i] :
( ( ( ( left_convergent_lines @ SV21 @ SV61 )
| ( unequally_directed_lines @ SV41 @ SV61 ) )
= $true )
| ( ( left_convergent_lines @ SV21 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(295,plain,
! [SV62: $i,SV48: $i] :
( ( ~ ( left_convergent_lines @ SV48 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(296,plain,
! [SV63: $i,SV49: $i] :
( ( ~ ( left_convergent_lines @ SV49 @ ( reverse_line @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(297,plain,
! [SV64: $i,SV50: $i] :
( ( ~ ( left_apart_point @ SV50 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(298,plain,
! [SV65: $i,SV51: $i] :
( ( ~ ( left_apart_point @ SV51 @ ( reverse_line @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(299,plain,
! [SV66: $i,SV52: $i] :
( ( ~ ( unequally_directed_lines @ SV52 @ SV66 )
| ~ ( unequally_directed_lines @ SV52 @ ( reverse_line @ SV66 ) )
| ( convergent_lines @ SV52 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(300,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(301,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(302,plain,
! [SV22: $i] :
( ( ~ ! [SY102: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY102 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY102 ) )
| ! [SY103: $i] :
( ( unequally_directed_lines @ SV22 @ SY103 )
| ( unequally_directed_lines @ SY102 @ SY103 ) ) )
| ~ ! [SY104: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY104 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY104 ) )
| ! [SY105: $i] :
( ( unequally_directed_lines @ SV22 @ SY105 )
| ( unequally_directed_lines @ SY104 @ ( reverse_line @ SY105 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(303,plain,
! [SV22: $i] :
( ( ~ ! [SY106: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY106 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY106 ) )
| ! [SY107: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY107 ) )
| ( unequally_directed_lines @ SY106 @ SY107 ) ) )
| ~ ! [SY108: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY108 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY108 ) )
| ! [SY109: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY109 ) )
| ( unequally_directed_lines @ SY108 @ ( reverse_line @ SY109 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(304,plain,
! [SV67: $i,SV53: $i] :
( ( ~ ( distinct_points @ SV53 @ SV67 )
| ~ ( apart_point_and_line @ SV53 @ ( line_connecting @ SV53 @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(305,plain,
! [SV68: $i,SV54: $i] :
( ( ~ ( distinct_points @ SV54 @ SV68 )
| ~ ( apart_point_and_line @ SV68 @ ( line_connecting @ SV54 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(306,plain,
! [SV69: $i,SV55: $i] :
( ( ~ ( apart_point_and_line @ SV55 @ SV69 )
| ( left_apart_point @ SV55 @ SV69 )
| ( left_apart_point @ SV55 @ ( reverse_line @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(307,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(308,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(309,plain,
! [SV70: $i,SV56: $i] :
( ( ~ ( unequally_directed_lines @ SV56 @ SV70 )
| ~ ( unequally_directed_lines @ SV56 @ ( reverse_line @ SV70 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SV56 @ SV70 ) @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(310,plain,
! [SV71: $i,SV57: $i] :
( ( ~ ( unequally_directed_lines @ SV57 @ SV71 )
| ~ ( unequally_directed_lines @ SV57 @ ( reverse_line @ SV71 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SV57 @ SV71 ) @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(311,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ! [SY110: $i,SY111: $i] :
( ~ ( divides_points @ SY111 @ SV23 @ SY110 )
| ( left_apart_point @ SV23 @ SY111 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY111 ) ) )
| ~ ! [SY112: $i,SY113: $i] :
( ~ ( divides_points @ SY113 @ SV23 @ SY112 )
| ( left_apart_point @ SV23 @ SY113 )
| ( left_apart_point @ SY112 @ SY113 ) ) )
| ~ ~ ( ~ ! [SY114: $i,SY115: $i] :
( ~ ( divides_points @ SY115 @ SV23 @ SY114 )
| ( left_apart_point @ SY114 @ ( reverse_line @ SY115 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY115 ) ) )
| ~ ! [SY116: $i,SY117: $i] :
( ~ ( divides_points @ SY117 @ SV23 @ SY116 )
| ( left_apart_point @ SY116 @ ( reverse_line @ SY117 ) )
| ( left_apart_point @ SY116 @ SY117 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(312,plain,
! [SV23: $i] :
( ( ~ ! [SY118: $i,SY119: $i] :
( ~ ( left_apart_point @ SV23 @ SY119 )
| ~ ( left_apart_point @ SY118 @ ( reverse_line @ SY119 ) )
| ( divides_points @ SY119 @ SV23 @ SY118 ) )
| ~ ! [SY120: $i,SY121: $i] :
( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SY121 ) )
| ~ ( left_apart_point @ SY120 @ SY121 )
| ( divides_points @ SY121 @ SV23 @ SY120 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(313,plain,
! [SV24: $i,SV72: $i] :
( ( ! [SY181: $i] :
( ~ ( distinct_points @ SV72 @ SY181 )
| ( left_apart_point @ SV72 @ SV24 )
| ( left_apart_point @ SV72 @ ( reverse_line @ SV24 ) )
| ( left_apart_point @ SY181 @ SV24 )
| ( left_apart_point @ SY181 @ ( reverse_line @ SV24 ) )
| ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV72 @ SY181 ) )
| ( before_on_line @ SV24 @ SV72 @ SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(314,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ! [SY134: $i,SY135: $i] :
( ~ ( before_on_line @ SV24 @ SY134 @ SY135 )
| ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY134 @ SY135 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(315,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY158 @ SY159 )
| ( before_on_line @ SV25 @ SV42 @ SY158 )
| ( before_on_line @ SV25 @ SY159 @ SY158 ) )
| ~ ! [SY160: $i] :
( ! [SY161: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SY160 @ SY161 )
| ( before_on_line @ SV25 @ SV42 @ SY160 )
| ( before_on_line @ SV25 @ SY160 @ SV42 ) ) )
| ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY163 @ SY162 ) )
| ~ ! [SY164: $i,SY165: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SV42 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(316,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ( ~ ! [SY166: $i,SY167: $i] :
( ~ ( before_on_line @ SV25 @ SV42 @ SY166 )
| ~ ( before_on_line @ SV25 @ SY166 @ SY167 )
| ( between_on_line @ SV25 @ SV42 @ SY166 @ SY167 ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( before_on_line @ SV25 @ SY169 @ SY168 )
| ~ ( before_on_line @ SV25 @ SY168 @ SV42 )
| ( between_on_line @ SV25 @ SV42 @ SY168 @ SY169 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(317,plain,
! [SV26: $i,SV58: $i,SV2: $i] :
( ( ( distinct_points @ SV2 @ SV58 )
= $true )
| ( ( distinct_points @ SV26 @ SV58 )
= $true )
| ( ( distinct_points @ SV2 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(318,plain,
! [SV27: $i,SV59: $i,SV4: $i] :
( ( ( distinct_lines @ SV4 @ SV59 )
= $true )
| ( ( distinct_lines @ SV27 @ SV59 )
= $true )
| ( ( distinct_lines @ SV4 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(319,plain,
! [SV28: $i,SV60: $i,SV6: $i] :
( ( ( unequally_directed_lines @ SV6 @ SV60 )
= $true )
| ( ( unequally_directed_lines @ SV28 @ SV60 )
= $true )
| ( ( unequally_directed_lines @ SV6 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(320,plain,
! [SV7: $i,SV29: $i] :
( ( ( line @ SV29 )
= $false )
| ( ( line @ SV7 )
= $false )
| ( ( ( unequally_directed_lines @ SV7 @ SV29 )
| ( unequally_directed_lines @ SV7 @ ( reverse_line @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(321,plain,
! [SV30: $i,SV8: $i] :
( ( ( unequally_directed_lines @ SV8 @ ( reverse_line @ SV30 ) )
= $false )
| ( ( unequally_directed_lines @ SV8 @ SV30 )
= $false )
| ( ( ( left_convergent_lines @ SV8 @ SV30 )
| ( left_convergent_lines @ SV8 @ ( reverse_line @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(322,plain,
! [SV31: $i,SV9: $i] :
( ( ( point @ SV9 )
= $false )
| ( ( ~ ( point @ SV31 ) )
= $true )
| ( ( ~ ( distinct_points @ SV9 @ SV31 ) )
= $true )
| ( ( line @ ( line_connecting @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(323,plain,
! [SV32: $i,SV10: $i] :
( ( ( ~ ( line @ SV10 ) )
= $true )
| ( ( ~ ( line @ SV32 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV10 @ SV32 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV10 @ ( reverse_line @ SV32 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV10 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(324,plain,
! [SV11: $i,SV33: $i] :
( ( ( point @ SV33 )
= $false )
| ( ( line @ SV11 )
= $false )
| ( ( line @ ( parallel_through_point @ SV11 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(325,plain,
! [SV37: $i,SV17: $i,SV47: $i,SV43: $i] :
( ( ( ~ ( distinct_lines @ SV43 @ SV47 ) )
= $true )
| ( ( ~ ( distinct_points @ SV17 @ SV37 ) )
= $true )
| ( ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV37 @ SV47 )
| ( left_apart_point @ SV17 @ SV47 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(326,plain,
! [SV44: $i,SV38: $i,SV18: $i] :
( ( ( distinct_points @ SV18 @ SV38 )
= $false )
| ( ( ~ ( left_apart_point @ SV18 @ SV44 ) )
= $true )
| ( ( ( left_apart_point @ SV38 @ SV44 )
| ( left_convergent_lines @ ( line_connecting @ SV18 @ SV38 ) @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(327,plain,
! [SV45: $i,SV39: $i,SV19: $i] :
( ( ( distinct_points @ SV19 @ SV39 )
= $true )
| ( ( left_apart_point @ SV39 @ SV45 )
= $true )
| ( ( left_apart_point @ SV19 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(328,plain,
! [SV46: $i,SV40: $i,SV20: $i] :
( ( ( left_apart_point @ SV20 @ SV40 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV40 @ SV46 ) )
= $true )
| ( ( ( distinct_lines @ SV40 @ SV46 )
| ( left_apart_point @ SV20 @ ( reverse_line @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(329,plain,
! [SV41: $i,SV61: $i,SV21: $i] :
( ( ( left_convergent_lines @ SV21 @ SV61 )
= $true )
| ( ( unequally_directed_lines @ SV41 @ SV61 )
= $true )
| ( ( left_convergent_lines @ SV21 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(330,plain,
! [SV62: $i,SV48: $i] :
( ( left_convergent_lines @ SV48 @ SV62 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(331,plain,
! [SV63: $i,SV49: $i] :
( ( left_convergent_lines @ SV49 @ ( reverse_line @ SV63 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(332,plain,
! [SV64: $i,SV50: $i] :
( ( left_apart_point @ SV50 @ SV64 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(333,plain,
! [SV65: $i,SV51: $i] :
( ( left_apart_point @ SV51 @ ( reverse_line @ SV65 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(334,plain,
! [SV66: $i,SV52: $i] :
( ( ( ~ ( unequally_directed_lines @ SV52 @ SV66 )
| ~ ( unequally_directed_lines @ SV52 @ ( reverse_line @ SV66 ) ) )
= $true )
| ( ( convergent_lines @ SV52 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(335,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(336,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(337,plain,
! [SV22: $i] :
( ( ~ ! [SY102: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY102 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY102 ) )
| ! [SY103: $i] :
( ( unequally_directed_lines @ SV22 @ SY103 )
| ( unequally_directed_lines @ SY102 @ SY103 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(338,plain,
! [SV22: $i] :
( ( ~ ! [SY104: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY104 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY104 ) )
| ! [SY105: $i] :
( ( unequally_directed_lines @ SV22 @ SY105 )
| ( unequally_directed_lines @ SY104 @ ( reverse_line @ SY105 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[302]) ).
thf(339,plain,
! [SV22: $i] :
( ( ~ ! [SY106: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY106 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY106 ) )
| ! [SY107: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY107 ) )
| ( unequally_directed_lines @ SY106 @ SY107 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(340,plain,
! [SV22: $i] :
( ( ~ ! [SY108: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY108 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY108 ) )
| ! [SY109: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY109 ) )
| ( unequally_directed_lines @ SY108 @ ( reverse_line @ SY109 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(341,plain,
! [SV67: $i,SV53: $i] :
( ( ( ~ ( distinct_points @ SV53 @ SV67 ) )
= $true )
| ( ( ~ ( apart_point_and_line @ SV53 @ ( line_connecting @ SV53 @ SV67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(342,plain,
! [SV68: $i,SV54: $i] :
( ( ( ~ ( distinct_points @ SV54 @ SV68 ) )
= $true )
| ( ( ~ ( apart_point_and_line @ SV68 @ ( line_connecting @ SV54 @ SV68 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(343,plain,
! [SV69: $i,SV55: $i] :
( ( ( ~ ( apart_point_and_line @ SV55 @ SV69 ) )
= $true )
| ( ( ( left_apart_point @ SV55 @ SV69 )
| ( left_apart_point @ SV55 @ ( reverse_line @ SV69 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(344,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(345,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(346,plain,
! [SV70: $i,SV56: $i] :
( ( ( ~ ( unequally_directed_lines @ SV56 @ SV70 )
| ~ ( unequally_directed_lines @ SV56 @ ( reverse_line @ SV70 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV56 @ SV70 ) @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(347,plain,
! [SV71: $i,SV57: $i] :
( ( ( ~ ( unequally_directed_lines @ SV57 @ SV71 )
| ~ ( unequally_directed_lines @ SV57 @ ( reverse_line @ SV71 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV57 @ SV71 ) @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(348,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ! [SY110: $i,SY111: $i] :
( ~ ( divides_points @ SY111 @ SV23 @ SY110 )
| ( left_apart_point @ SV23 @ SY111 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY111 ) ) )
| ~ ! [SY112: $i,SY113: $i] :
( ~ ( divides_points @ SY113 @ SV23 @ SY112 )
| ( left_apart_point @ SV23 @ SY113 )
| ( left_apart_point @ SY112 @ SY113 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(349,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ! [SY114: $i,SY115: $i] :
( ~ ( divides_points @ SY115 @ SV23 @ SY114 )
| ( left_apart_point @ SY114 @ ( reverse_line @ SY115 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY115 ) ) )
| ~ ! [SY116: $i,SY117: $i] :
( ~ ( divides_points @ SY117 @ SV23 @ SY116 )
| ( left_apart_point @ SY116 @ ( reverse_line @ SY117 ) )
| ( left_apart_point @ SY116 @ SY117 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(350,plain,
! [SV23: $i] :
( ( ~ ! [SY118: $i,SY119: $i] :
( ~ ( left_apart_point @ SV23 @ SY119 )
| ~ ( left_apart_point @ SY118 @ ( reverse_line @ SY119 ) )
| ( divides_points @ SY119 @ SV23 @ SY118 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(351,plain,
! [SV23: $i] :
( ( ~ ! [SY120: $i,SY121: $i] :
( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SY121 ) )
| ~ ( left_apart_point @ SY120 @ SY121 )
| ( divides_points @ SY121 @ SV23 @ SY120 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[312]) ).
thf(352,plain,
! [SV24: $i,SV73: $i,SV72: $i] :
( ( ~ ( distinct_points @ SV72 @ SV73 )
| ( left_apart_point @ SV72 @ SV24 )
| ( left_apart_point @ SV72 @ ( reverse_line @ SV24 ) )
| ( left_apart_point @ SV73 @ SV24 )
| ( left_apart_point @ SV73 @ ( reverse_line @ SV24 ) )
| ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV72 @ SV73 ) )
| ( before_on_line @ SV24 @ SV72 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(353,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(354,plain,
! [SV24: $i] :
( ( ~ ! [SY134: $i,SY135: $i] :
( ~ ( before_on_line @ SV24 @ SY134 @ SY135 )
| ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY134 @ SY135 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(355,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY158 @ SY159 )
| ( before_on_line @ SV25 @ SV42 @ SY158 )
| ( before_on_line @ SV25 @ SY159 @ SY158 ) )
| ~ ! [SY160: $i] :
( ! [SY161: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SY160 @ SY161 )
| ( before_on_line @ SV25 @ SV42 @ SY160 )
| ( before_on_line @ SV25 @ SY160 @ SV42 ) ) )
| ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY163 @ SY162 ) )
| ~ ! [SY164: $i,SY165: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SV42 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(356,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ! [SY166: $i,SY167: $i] :
( ~ ( before_on_line @ SV25 @ SV42 @ SY166 )
| ~ ( before_on_line @ SV25 @ SY166 @ SY167 )
| ( between_on_line @ SV25 @ SV42 @ SY166 @ SY167 ) )
| ~ ! [SY168: $i,SY169: $i] :
( ~ ( before_on_line @ SV25 @ SY169 @ SY168 )
| ~ ( before_on_line @ SV25 @ SY168 @ SV42 )
| ( between_on_line @ SV25 @ SV42 @ SY168 @ SY169 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(357,plain,
! [SV29: $i,SV7: $i] :
( ( ( unequally_directed_lines @ SV7 @ SV29 )
= $true )
| ( ( unequally_directed_lines @ SV7 @ ( reverse_line @ SV29 ) )
= $true )
| ( ( line @ SV7 )
= $false )
| ( ( line @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(358,plain,
! [SV30: $i,SV8: $i] :
( ( ( left_convergent_lines @ SV8 @ SV30 )
= $true )
| ( ( left_convergent_lines @ SV8 @ ( reverse_line @ SV30 ) )
= $true )
| ( ( unequally_directed_lines @ SV8 @ SV30 )
= $false )
| ( ( unequally_directed_lines @ SV8 @ ( reverse_line @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(359,plain,
! [SV9: $i,SV31: $i] :
( ( ( point @ SV31 )
= $false )
| ( ( point @ SV9 )
= $false )
| ( ( ~ ( distinct_points @ SV9 @ SV31 ) )
= $true )
| ( ( line @ ( line_connecting @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(360,plain,
! [SV32: $i,SV10: $i] :
( ( ( line @ SV10 )
= $false )
| ( ( ~ ( line @ SV32 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV10 @ SV32 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV10 @ ( reverse_line @ SV32 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV10 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(361,plain,
! [SV37: $i,SV17: $i,SV47: $i,SV43: $i] :
( ( ( distinct_lines @ SV43 @ SV47 )
= $false )
| ( ( ~ ( distinct_points @ SV17 @ SV37 ) )
= $true )
| ( ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV37 @ SV47 )
| ( left_apart_point @ SV17 @ SV47 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(362,plain,
! [SV38: $i,SV44: $i,SV18: $i] :
( ( ( left_apart_point @ SV18 @ SV44 )
= $false )
| ( ( distinct_points @ SV18 @ SV38 )
= $false )
| ( ( ( left_apart_point @ SV38 @ SV44 )
| ( left_convergent_lines @ ( line_connecting @ SV18 @ SV38 ) @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(363,plain,
! [SV20: $i,SV46: $i,SV40: $i] :
( ( ( unequally_directed_lines @ SV40 @ SV46 )
= $false )
| ( ( left_apart_point @ SV20 @ SV40 )
= $false )
| ( ( ( distinct_lines @ SV40 @ SV46 )
| ( left_apart_point @ SV20 @ ( reverse_line @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(364,plain,
! [SV66: $i,SV52: $i] :
( ( ( ~ ( unequally_directed_lines @ SV52 @ SV66 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV52 @ ( reverse_line @ SV66 ) ) )
= $true )
| ( ( convergent_lines @ SV52 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(365,plain,
! [SV74: $i] :
( ( ! [SY182: $i] :
( ~ ( convergent_lines @ SV74 @ SY182 )
| ( unequally_directed_lines @ SV74 @ SY182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(366,plain,
! [SV75: $i] :
( ( ! [SY183: $i] :
( ~ ( convergent_lines @ SV75 @ SY183 )
| ( unequally_directed_lines @ SV75 @ ( reverse_line @ SY183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(367,plain,
! [SV22: $i] :
( ( ! [SY102: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY102 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY102 ) )
| ! [SY103: $i] :
( ( unequally_directed_lines @ SV22 @ SY103 )
| ( unequally_directed_lines @ SY102 @ SY103 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(368,plain,
! [SV22: $i] :
( ( ! [SY104: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY104 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY104 ) )
| ! [SY105: $i] :
( ( unequally_directed_lines @ SV22 @ SY105 )
| ( unequally_directed_lines @ SY104 @ ( reverse_line @ SY105 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(369,plain,
! [SV22: $i] :
( ( ! [SY106: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY106 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY106 ) )
| ! [SY107: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY107 ) )
| ( unequally_directed_lines @ SY106 @ SY107 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(370,plain,
! [SV22: $i] :
( ( ! [SY108: $i] :
( ~ ( unequally_directed_lines @ SV22 @ SY108 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY108 ) )
| ! [SY109: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY109 ) )
| ( unequally_directed_lines @ SY108 @ ( reverse_line @ SY109 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(371,plain,
! [SV67: $i,SV53: $i] :
( ( ( distinct_points @ SV53 @ SV67 )
= $false )
| ( ( ~ ( apart_point_and_line @ SV53 @ ( line_connecting @ SV53 @ SV67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(372,plain,
! [SV68: $i,SV54: $i] :
( ( ( distinct_points @ SV54 @ SV68 )
= $false )
| ( ( ~ ( apart_point_and_line @ SV68 @ ( line_connecting @ SV54 @ SV68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(373,plain,
! [SV69: $i,SV55: $i] :
( ( ( apart_point_and_line @ SV55 @ SV69 )
= $false )
| ( ( ( left_apart_point @ SV55 @ SV69 )
| ( left_apart_point @ SV55 @ ( reverse_line @ SV69 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(374,plain,
! [SV76: $i] :
( ( ! [SY184: $i] :
( ~ ( left_apart_point @ SV76 @ SY184 )
| ( apart_point_and_line @ SV76 @ SY184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(375,plain,
! [SV77: $i] :
( ( ! [SY185: $i] :
( ~ ( left_apart_point @ SV77 @ ( reverse_line @ SY185 ) )
| ( apart_point_and_line @ SV77 @ SY185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(376,plain,
! [SV70: $i,SV56: $i] :
( ( ( ~ ( unequally_directed_lines @ SV56 @ SV70 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV56 @ ( reverse_line @ SV70 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV56 @ SV70 ) @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(377,plain,
! [SV71: $i,SV57: $i] :
( ( ( ~ ( unequally_directed_lines @ SV57 @ SV71 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV57 @ ( reverse_line @ SV71 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV57 @ SV71 ) @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(378,plain,
! [SV23: $i] :
( ( ~ ( ~ ! [SY110: $i,SY111: $i] :
( ~ ( divides_points @ SY111 @ SV23 @ SY110 )
| ( left_apart_point @ SV23 @ SY111 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY111 ) ) )
| ~ ! [SY112: $i,SY113: $i] :
( ~ ( divides_points @ SY113 @ SV23 @ SY112 )
| ( left_apart_point @ SV23 @ SY113 )
| ( left_apart_point @ SY112 @ SY113 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(379,plain,
! [SV23: $i] :
( ( ~ ( ~ ! [SY114: $i,SY115: $i] :
( ~ ( divides_points @ SY115 @ SV23 @ SY114 )
| ( left_apart_point @ SY114 @ ( reverse_line @ SY115 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY115 ) ) )
| ~ ! [SY116: $i,SY117: $i] :
( ~ ( divides_points @ SY117 @ SV23 @ SY116 )
| ( left_apart_point @ SY116 @ ( reverse_line @ SY117 ) )
| ( left_apart_point @ SY116 @ SY117 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(380,plain,
! [SV23: $i] :
( ( ! [SY118: $i,SY119: $i] :
( ~ ( left_apart_point @ SV23 @ SY119 )
| ~ ( left_apart_point @ SY118 @ ( reverse_line @ SY119 ) )
| ( divides_points @ SY119 @ SV23 @ SY118 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(381,plain,
! [SV23: $i] :
( ( ! [SY120: $i,SY121: $i] :
( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SY121 ) )
| ~ ( left_apart_point @ SY120 @ SY121 )
| ( divides_points @ SY121 @ SV23 @ SY120 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(382,plain,
! [SV24: $i,SV73: $i,SV72: $i] :
( ( ( ~ ( distinct_points @ SV72 @ SV73 )
| ( left_apart_point @ SV72 @ SV24 )
| ( left_apart_point @ SV72 @ ( reverse_line @ SV24 ) )
| ( left_apart_point @ SV73 @ SV24 )
| ( left_apart_point @ SV73 @ ( reverse_line @ SV24 ) )
| ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV72 @ SV73 ) ) )
= $true )
| ( ( before_on_line @ SV24 @ SV72 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(383,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(384,plain,
! [SV24: $i] :
( ( ! [SY134: $i,SY135: $i] :
( ~ ( before_on_line @ SV24 @ SY134 @ SY135 )
| ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SY134 @ SY135 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(385,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY158 @ SY159 )
| ( before_on_line @ SV25 @ SV42 @ SY158 )
| ( before_on_line @ SV25 @ SY159 @ SY158 ) )
| ~ ! [SY160: $i] :
( ! [SY161: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SY160 @ SY161 )
| ( before_on_line @ SV25 @ SV42 @ SY160 )
| ( before_on_line @ SV25 @ SY160 @ SV42 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(386,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY163 @ SY162 ) )
| ~ ! [SY164: $i,SY165: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SV42 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(387,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ! [SY166: $i,SY167: $i] :
( ~ ( before_on_line @ SV25 @ SV42 @ SY166 )
| ~ ( before_on_line @ SV25 @ SY166 @ SY167 )
| ( between_on_line @ SV25 @ SV42 @ SY166 @ SY167 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(388,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ! [SY168: $i,SY169: $i] :
( ~ ( before_on_line @ SV25 @ SY169 @ SY168 )
| ~ ( before_on_line @ SV25 @ SY168 @ SV42 )
| ( between_on_line @ SV25 @ SV42 @ SY168 @ SY169 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(389,plain,
! [SV31: $i,SV9: $i] :
( ( ( distinct_points @ SV9 @ SV31 )
= $false )
| ( ( point @ SV9 )
= $false )
| ( ( point @ SV31 )
= $false )
| ( ( line @ ( line_connecting @ SV9 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(390,plain,
! [SV10: $i,SV32: $i] :
( ( ( line @ SV32 )
= $false )
| ( ( line @ SV10 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV10 @ SV32 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV10 @ ( reverse_line @ SV32 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV10 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(391,plain,
! [SV47: $i,SV43: $i,SV37: $i,SV17: $i] :
( ( ( distinct_points @ SV17 @ SV37 )
= $false )
| ( ( distinct_lines @ SV43 @ SV47 )
= $false )
| ( ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV37 @ SV47 )
| ( left_apart_point @ SV17 @ SV47 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(392,plain,
! [SV18: $i,SV44: $i,SV38: $i] :
( ( ( left_apart_point @ SV38 @ SV44 )
= $true )
| ( ( left_convergent_lines @ ( line_connecting @ SV18 @ SV38 ) @ SV44 )
= $true )
| ( ( distinct_points @ SV18 @ SV38 )
= $false )
| ( ( left_apart_point @ SV18 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(393,plain,
! [SV20: $i,SV46: $i,SV40: $i] :
( ( ( distinct_lines @ SV40 @ SV46 )
= $true )
| ( ( left_apart_point @ SV20 @ ( reverse_line @ SV46 ) )
= $true )
| ( ( left_apart_point @ SV20 @ SV40 )
= $false )
| ( ( unequally_directed_lines @ SV40 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(394,plain,
! [SV66: $i,SV52: $i] :
( ( ( unequally_directed_lines @ SV52 @ SV66 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV52 @ ( reverse_line @ SV66 ) ) )
= $true )
| ( ( convergent_lines @ SV52 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(395,plain,
! [SV78: $i,SV74: $i] :
( ( ~ ( convergent_lines @ SV74 @ SV78 )
| ( unequally_directed_lines @ SV74 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(396,plain,
! [SV79: $i,SV75: $i] :
( ( ~ ( convergent_lines @ SV75 @ SV79 )
| ( unequally_directed_lines @ SV75 @ ( reverse_line @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(397,plain,
! [SV80: $i,SV22: $i] :
( ( ~ ( unequally_directed_lines @ SV22 @ SV80 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV80 ) )
| ! [SY186: $i] :
( ( unequally_directed_lines @ SV22 @ SY186 )
| ( unequally_directed_lines @ SV80 @ SY186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(398,plain,
! [SV81: $i,SV22: $i] :
( ( ~ ( unequally_directed_lines @ SV22 @ SV81 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV81 ) )
| ! [SY187: $i] :
( ( unequally_directed_lines @ SV22 @ SY187 )
| ( unequally_directed_lines @ SV81 @ ( reverse_line @ SY187 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(399,plain,
! [SV82: $i,SV22: $i] :
( ( ~ ( unequally_directed_lines @ SV22 @ SV82 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV82 ) )
| ! [SY188: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY188 ) )
| ( unequally_directed_lines @ SV82 @ SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(400,plain,
! [SV83: $i,SV22: $i] :
( ( ~ ( unequally_directed_lines @ SV22 @ SV83 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV83 ) )
| ! [SY189: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY189 ) )
| ( unequally_directed_lines @ SV83 @ ( reverse_line @ SY189 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(401,plain,
! [SV67: $i,SV53: $i] :
( ( ( apart_point_and_line @ SV53 @ ( line_connecting @ SV53 @ SV67 ) )
= $false )
| ( ( distinct_points @ SV53 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(402,plain,
! [SV54: $i,SV68: $i] :
( ( ( apart_point_and_line @ SV68 @ ( line_connecting @ SV54 @ SV68 ) )
= $false )
| ( ( distinct_points @ SV54 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(403,plain,
! [SV69: $i,SV55: $i] :
( ( ( left_apart_point @ SV55 @ SV69 )
= $true )
| ( ( left_apart_point @ SV55 @ ( reverse_line @ SV69 ) )
= $true )
| ( ( apart_point_and_line @ SV55 @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(404,plain,
! [SV84: $i,SV76: $i] :
( ( ~ ( left_apart_point @ SV76 @ SV84 )
| ( apart_point_and_line @ SV76 @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(405,plain,
! [SV85: $i,SV77: $i] :
( ( ~ ( left_apart_point @ SV77 @ ( reverse_line @ SV85 ) )
| ( apart_point_and_line @ SV77 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(406,plain,
! [SV70: $i,SV56: $i] :
( ( ( unequally_directed_lines @ SV56 @ SV70 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV56 @ ( reverse_line @ SV70 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV56 @ SV70 ) @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(407,plain,
! [SV71: $i,SV57: $i] :
( ( ( unequally_directed_lines @ SV57 @ SV71 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV57 @ ( reverse_line @ SV71 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV57 @ SV71 ) @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(408,plain,
! [SV23: $i] :
( ( ~ ! [SY110: $i,SY111: $i] :
( ~ ( divides_points @ SY111 @ SV23 @ SY110 )
| ( left_apart_point @ SV23 @ SY111 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY111 ) ) )
| ~ ! [SY112: $i,SY113: $i] :
( ~ ( divides_points @ SY113 @ SV23 @ SY112 )
| ( left_apart_point @ SV23 @ SY113 )
| ( left_apart_point @ SY112 @ SY113 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(409,plain,
! [SV23: $i] :
( ( ~ ! [SY114: $i,SY115: $i] :
( ~ ( divides_points @ SY115 @ SV23 @ SY114 )
| ( left_apart_point @ SY114 @ ( reverse_line @ SY115 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY115 ) ) )
| ~ ! [SY116: $i,SY117: $i] :
( ~ ( divides_points @ SY117 @ SV23 @ SY116 )
| ( left_apart_point @ SY116 @ ( reverse_line @ SY117 ) )
| ( left_apart_point @ SY116 @ SY117 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(410,plain,
! [SV86: $i,SV23: $i] :
( ( ! [SY190: $i] :
( ~ ( left_apart_point @ SV23 @ SY190 )
| ~ ( left_apart_point @ SV86 @ ( reverse_line @ SY190 ) )
| ( divides_points @ SY190 @ SV23 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(411,plain,
! [SV87: $i,SV23: $i] :
( ( ! [SY191: $i] :
( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SY191 ) )
| ~ ( left_apart_point @ SV87 @ SY191 )
| ( divides_points @ SY191 @ SV23 @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(412,plain,
! [SV24: $i,SV73: $i,SV72: $i] :
( ( ( ~ ( distinct_points @ SV72 @ SV73 )
| ( left_apart_point @ SV72 @ SV24 )
| ( left_apart_point @ SV72 @ ( reverse_line @ SV24 ) )
| ( left_apart_point @ SV73 @ SV24 )
| ( left_apart_point @ SV73 @ ( reverse_line @ SV24 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV72 @ SV73 ) )
= $true )
| ( ( before_on_line @ SV24 @ SV72 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(413,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
| ~ ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(414,plain,
! [SV88: $i,SV24: $i] :
( ( ! [SY192: $i] :
( ~ ( before_on_line @ SV24 @ SV88 @ SY192 )
| ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV88 @ SY192 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(415,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY158 @ SY159 )
| ( before_on_line @ SV25 @ SV42 @ SY158 )
| ( before_on_line @ SV25 @ SY159 @ SY158 ) )
| ~ ! [SY160: $i] :
( ! [SY161: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SY160 @ SY161 )
| ( before_on_line @ SV25 @ SV42 @ SY160 )
| ( before_on_line @ SV25 @ SY160 @ SV42 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(416,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY163 @ SY162 ) )
| ~ ! [SY164: $i,SY165: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SV42 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(417,plain,
! [SV42: $i,SV25: $i] :
( ( ! [SY166: $i,SY167: $i] :
( ~ ( before_on_line @ SV25 @ SV42 @ SY166 )
| ~ ( before_on_line @ SV25 @ SY166 @ SY167 )
| ( between_on_line @ SV25 @ SV42 @ SY166 @ SY167 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(418,plain,
! [SV42: $i,SV25: $i] :
( ( ! [SY168: $i,SY169: $i] :
( ~ ( before_on_line @ SV25 @ SY169 @ SY168 )
| ~ ( before_on_line @ SV25 @ SY168 @ SV42 )
| ( between_on_line @ SV25 @ SV42 @ SY168 @ SY169 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(419,plain,
! [SV32: $i,SV10: $i] :
( ( ( unequally_directed_lines @ SV10 @ SV32 )
= $false )
| ( ( line @ SV10 )
= $false )
| ( ( line @ SV32 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV10 @ ( reverse_line @ SV32 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV10 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(420,plain,
! [SV43: $i,SV17: $i,SV47: $i,SV37: $i] :
( ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
| ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV37 @ SV47 )
| ( left_apart_point @ SV17 @ SV47 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true )
| ( ( distinct_lines @ SV43 @ SV47 )
= $false )
| ( ( distinct_points @ SV17 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(421,plain,
! [SV66: $i,SV52: $i] :
( ( ( unequally_directed_lines @ SV52 @ ( reverse_line @ SV66 ) )
= $false )
| ( ( unequally_directed_lines @ SV52 @ SV66 )
= $false )
| ( ( convergent_lines @ SV52 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(422,plain,
! [SV78: $i,SV74: $i] :
( ( ( ~ ( convergent_lines @ SV74 @ SV78 ) )
= $true )
| ( ( unequally_directed_lines @ SV74 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(423,plain,
! [SV79: $i,SV75: $i] :
( ( ( ~ ( convergent_lines @ SV75 @ SV79 ) )
= $true )
| ( ( unequally_directed_lines @ SV75 @ ( reverse_line @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(424,plain,
! [SV80: $i,SV22: $i] :
( ( ( ~ ( unequally_directed_lines @ SV22 @ SV80 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV80 ) ) )
= $true )
| ( ( ! [SY186: $i] :
( ( unequally_directed_lines @ SV22 @ SY186 )
| ( unequally_directed_lines @ SV80 @ SY186 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(425,plain,
! [SV81: $i,SV22: $i] :
( ( ( ~ ( unequally_directed_lines @ SV22 @ SV81 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV81 ) ) )
= $true )
| ( ( ! [SY187: $i] :
( ( unequally_directed_lines @ SV22 @ SY187 )
| ( unequally_directed_lines @ SV81 @ ( reverse_line @ SY187 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(426,plain,
! [SV82: $i,SV22: $i] :
( ( ( ~ ( unequally_directed_lines @ SV22 @ SV82 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV82 ) ) )
= $true )
| ( ( ! [SY188: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY188 ) )
| ( unequally_directed_lines @ SV82 @ SY188 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(427,plain,
! [SV83: $i,SV22: $i] :
( ( ( ~ ( unequally_directed_lines @ SV22 @ SV83 )
| ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV83 ) ) )
= $true )
| ( ( ! [SY189: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY189 ) )
| ( unequally_directed_lines @ SV83 @ ( reverse_line @ SY189 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(428,plain,
! [SV84: $i,SV76: $i] :
( ( ( ~ ( left_apart_point @ SV76 @ SV84 ) )
= $true )
| ( ( apart_point_and_line @ SV76 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(429,plain,
! [SV85: $i,SV77: $i] :
( ( ( ~ ( left_apart_point @ SV77 @ ( reverse_line @ SV85 ) ) )
= $true )
| ( ( apart_point_and_line @ SV77 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(430,plain,
! [SV70: $i,SV56: $i] :
( ( ( unequally_directed_lines @ SV56 @ ( reverse_line @ SV70 ) )
= $false )
| ( ( unequally_directed_lines @ SV56 @ SV70 )
= $false )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV56 @ SV70 ) @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(431,plain,
! [SV71: $i,SV57: $i] :
( ( ( unequally_directed_lines @ SV57 @ ( reverse_line @ SV71 ) )
= $false )
| ( ( unequally_directed_lines @ SV57 @ SV71 )
= $false )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV57 @ SV71 ) @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(432,plain,
! [SV23: $i] :
( ( ~ ! [SY110: $i,SY111: $i] :
( ~ ( divides_points @ SY111 @ SV23 @ SY110 )
| ( left_apart_point @ SV23 @ SY111 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY111 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(433,plain,
! [SV23: $i] :
( ( ~ ! [SY112: $i,SY113: $i] :
( ~ ( divides_points @ SY113 @ SV23 @ SY112 )
| ( left_apart_point @ SV23 @ SY113 )
| ( left_apart_point @ SY112 @ SY113 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[408]) ).
thf(434,plain,
! [SV23: $i] :
( ( ~ ! [SY114: $i,SY115: $i] :
( ~ ( divides_points @ SY115 @ SV23 @ SY114 )
| ( left_apart_point @ SY114 @ ( reverse_line @ SY115 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY115 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(435,plain,
! [SV23: $i] :
( ( ~ ! [SY116: $i,SY117: $i] :
( ~ ( divides_points @ SY117 @ SV23 @ SY116 )
| ( left_apart_point @ SY116 @ ( reverse_line @ SY117 ) )
| ( left_apart_point @ SY116 @ SY117 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(436,plain,
! [SV86: $i,SV89: $i,SV23: $i] :
( ( ~ ( left_apart_point @ SV23 @ SV89 )
| ~ ( left_apart_point @ SV86 @ ( reverse_line @ SV89 ) )
| ( divides_points @ SV89 @ SV23 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(437,plain,
! [SV87: $i,SV90: $i,SV23: $i] :
( ( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SV90 ) )
| ~ ( left_apart_point @ SV87 @ SV90 )
| ( divides_points @ SV90 @ SV23 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(438,plain,
! [SV24: $i,SV73: $i,SV72: $i] :
( ( ( ~ ( distinct_points @ SV72 @ SV73 )
| ( left_apart_point @ SV72 @ SV24 )
| ( left_apart_point @ SV72 @ ( reverse_line @ SV24 ) ) )
= $true )
| ( ( ( left_apart_point @ SV73 @ SV24 )
| ( left_apart_point @ SV73 @ ( reverse_line @ SV24 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV72 @ SV73 ) )
= $true )
| ( ( before_on_line @ SV24 @ SV72 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(439,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(440,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(441,plain,
! [SV91: $i,SV88: $i,SV24: $i] :
( ( ~ ( before_on_line @ SV24 @ SV88 @ SV91 )
| ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV88 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(442,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY158 @ SY159 )
| ( before_on_line @ SV25 @ SV42 @ SY158 )
| ( before_on_line @ SV25 @ SY159 @ SY158 ) )
| ~ ! [SY160: $i] :
( ! [SY161: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SY160 @ SY161 )
| ( before_on_line @ SV25 @ SV42 @ SY160 )
| ( before_on_line @ SV25 @ SY160 @ SV42 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(443,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY163 @ SY162 ) )
| ~ ! [SY164: $i,SY165: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SV42 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(444,plain,
! [SV92: $i,SV42: $i,SV25: $i] :
( ( ! [SY193: $i] :
( ~ ( before_on_line @ SV25 @ SV42 @ SV92 )
| ~ ( before_on_line @ SV25 @ SV92 @ SY193 )
| ( between_on_line @ SV25 @ SV42 @ SV92 @ SY193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(445,plain,
! [SV42: $i,SV93: $i,SV25: $i] :
( ( ! [SY194: $i] :
( ~ ( before_on_line @ SV25 @ SY194 @ SV93 )
| ~ ( before_on_line @ SV25 @ SV93 @ SV42 )
| ( between_on_line @ SV25 @ SV42 @ SV93 @ SY194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(446,plain,
! [SV32: $i,SV10: $i] :
( ( ( unequally_directed_lines @ SV10 @ ( reverse_line @ SV32 ) )
= $false )
| ( ( line @ SV32 )
= $false )
| ( ( line @ SV10 )
= $false )
| ( ( unequally_directed_lines @ SV10 @ SV32 )
= $false )
| ( ( point @ ( intersection_point @ SV10 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(447,plain,
! [SV43: $i,SV37: $i,SV47: $i,SV17: $i] :
( ( ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV37 @ SV47 )
| ( left_apart_point @ SV17 @ SV47 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( distinct_lines @ SV43 @ SV47 )
= $false )
| ( ( distinct_points @ SV17 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(448,plain,
! [SV78: $i,SV74: $i] :
( ( ( convergent_lines @ SV74 @ SV78 )
= $false )
| ( ( unequally_directed_lines @ SV74 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(449,plain,
! [SV79: $i,SV75: $i] :
( ( ( convergent_lines @ SV75 @ SV79 )
= $false )
| ( ( unequally_directed_lines @ SV75 @ ( reverse_line @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(450,plain,
! [SV80: $i,SV22: $i] :
( ( ( ~ ( unequally_directed_lines @ SV22 @ SV80 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV80 ) ) )
= $true )
| ( ( ! [SY186: $i] :
( ( unequally_directed_lines @ SV22 @ SY186 )
| ( unequally_directed_lines @ SV80 @ SY186 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(451,plain,
! [SV81: $i,SV22: $i] :
( ( ( ~ ( unequally_directed_lines @ SV22 @ SV81 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV81 ) ) )
= $true )
| ( ( ! [SY187: $i] :
( ( unequally_directed_lines @ SV22 @ SY187 )
| ( unequally_directed_lines @ SV81 @ ( reverse_line @ SY187 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(452,plain,
! [SV82: $i,SV22: $i] :
( ( ( ~ ( unequally_directed_lines @ SV22 @ SV82 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV82 ) ) )
= $true )
| ( ( ! [SY188: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY188 ) )
| ( unequally_directed_lines @ SV82 @ SY188 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(453,plain,
! [SV83: $i,SV22: $i] :
( ( ( ~ ( unequally_directed_lines @ SV22 @ SV83 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV83 ) ) )
= $true )
| ( ( ! [SY189: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY189 ) )
| ( unequally_directed_lines @ SV83 @ ( reverse_line @ SY189 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(454,plain,
! [SV84: $i,SV76: $i] :
( ( ( left_apart_point @ SV76 @ SV84 )
= $false )
| ( ( apart_point_and_line @ SV76 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(455,plain,
! [SV85: $i,SV77: $i] :
( ( ( left_apart_point @ SV77 @ ( reverse_line @ SV85 ) )
= $false )
| ( ( apart_point_and_line @ SV77 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(456,plain,
! [SV70: $i,SV56: $i] :
( ( ( apart_point_and_line @ ( intersection_point @ SV56 @ SV70 ) @ SV56 )
= $false )
| ( ( unequally_directed_lines @ SV56 @ SV70 )
= $false )
| ( ( unequally_directed_lines @ SV56 @ ( reverse_line @ SV70 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(457,plain,
! [SV71: $i,SV57: $i] :
( ( ( apart_point_and_line @ ( intersection_point @ SV57 @ SV71 ) @ SV71 )
= $false )
| ( ( unequally_directed_lines @ SV57 @ SV71 )
= $false )
| ( ( unequally_directed_lines @ SV57 @ ( reverse_line @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(458,plain,
! [SV23: $i] :
( ( ! [SY110: $i,SY111: $i] :
( ~ ( divides_points @ SY111 @ SV23 @ SY110 )
| ( left_apart_point @ SV23 @ SY111 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY111 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(459,plain,
! [SV23: $i] :
( ( ! [SY112: $i,SY113: $i] :
( ~ ( divides_points @ SY113 @ SV23 @ SY112 )
| ( left_apart_point @ SV23 @ SY113 )
| ( left_apart_point @ SY112 @ SY113 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(460,plain,
! [SV23: $i] :
( ( ! [SY114: $i,SY115: $i] :
( ~ ( divides_points @ SY115 @ SV23 @ SY114 )
| ( left_apart_point @ SY114 @ ( reverse_line @ SY115 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY115 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(461,plain,
! [SV23: $i] :
( ( ! [SY116: $i,SY117: $i] :
( ~ ( divides_points @ SY117 @ SV23 @ SY116 )
| ( left_apart_point @ SY116 @ ( reverse_line @ SY117 ) )
| ( left_apart_point @ SY116 @ SY117 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(462,plain,
! [SV86: $i,SV89: $i,SV23: $i] :
( ( ( ~ ( left_apart_point @ SV23 @ SV89 )
| ~ ( left_apart_point @ SV86 @ ( reverse_line @ SV89 ) ) )
= $true )
| ( ( divides_points @ SV89 @ SV23 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(463,plain,
! [SV87: $i,SV90: $i,SV23: $i] :
( ( ( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SV90 ) )
| ~ ( left_apart_point @ SV87 @ SV90 ) )
= $true )
| ( ( divides_points @ SV90 @ SV23 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(464,plain,
! [SV24: $i,SV73: $i,SV72: $i] :
( ( ( ~ ( distinct_points @ SV72 @ SV73 ) )
= $true )
| ( ( ( left_apart_point @ SV72 @ SV24 )
| ( left_apart_point @ SV72 @ ( reverse_line @ SV24 ) ) )
= $true )
| ( ( ( left_apart_point @ SV73 @ SV24 )
| ( left_apart_point @ SV73 @ ( reverse_line @ SV24 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV72 @ SV73 ) )
= $true )
| ( ( before_on_line @ SV24 @ SV72 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(465,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(466,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(467,plain,
! [SV91: $i,SV88: $i,SV24: $i] :
( ( ( ~ ( before_on_line @ SV24 @ SV88 @ SV91 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV88 @ SV91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(468,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ! [SY158: $i,SY159: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY158 @ SY159 )
| ( before_on_line @ SV25 @ SV42 @ SY158 )
| ( before_on_line @ SV25 @ SY159 @ SY158 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(469,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ! [SY160: $i] :
( ! [SY161: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SY160 @ SY161 )
| ( before_on_line @ SV25 @ SV42 @ SY160 )
| ( before_on_line @ SV25 @ SY160 @ SV42 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[442]) ).
thf(470,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ! [SY162: $i,SY163: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY163 @ SY162 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(471,plain,
! [SV42: $i,SV25: $i] :
( ( ~ ! [SY164: $i,SY165: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SV42 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[443]) ).
thf(472,plain,
! [SV94: $i,SV92: $i,SV42: $i,SV25: $i] :
( ( ~ ( before_on_line @ SV25 @ SV42 @ SV92 )
| ~ ( before_on_line @ SV25 @ SV92 @ SV94 )
| ( between_on_line @ SV25 @ SV42 @ SV92 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(473,plain,
! [SV42: $i,SV93: $i,SV95: $i,SV25: $i] :
( ( ~ ( before_on_line @ SV25 @ SV95 @ SV93 )
| ~ ( before_on_line @ SV25 @ SV93 @ SV42 )
| ( between_on_line @ SV25 @ SV42 @ SV93 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(474,plain,
! [SV47: $i,SV17: $i,SV43: $i,SV37: $i] :
( ( ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
= $true )
| ( ( ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
| ( left_apart_point @ SV37 @ SV47 )
| ( left_apart_point @ SV17 @ SV47 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( distinct_lines @ SV43 @ SV47 )
= $false )
| ( ( distinct_points @ SV17 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(475,plain,
! [SV80: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ SV80 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV80 ) ) )
= $true )
| ( ( ! [SY186: $i] :
( ( unequally_directed_lines @ SV22 @ SY186 )
| ( unequally_directed_lines @ SV80 @ SY186 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(476,plain,
! [SV81: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ SV81 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV81 ) ) )
= $true )
| ( ( ! [SY187: $i] :
( ( unequally_directed_lines @ SV22 @ SY187 )
| ( unequally_directed_lines @ SV81 @ ( reverse_line @ SY187 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(477,plain,
! [SV82: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ SV82 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV82 ) ) )
= $true )
| ( ( ! [SY188: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY188 ) )
| ( unequally_directed_lines @ SV82 @ SY188 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(478,plain,
! [SV83: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ SV83 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV83 ) ) )
= $true )
| ( ( ! [SY189: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY189 ) )
| ( unequally_directed_lines @ SV83 @ ( reverse_line @ SY189 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(479,plain,
! [SV96: $i,SV23: $i] :
( ( ! [SY195: $i] :
( ~ ( divides_points @ SY195 @ SV23 @ SV96 )
| ( left_apart_point @ SV23 @ SY195 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY195 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(480,plain,
! [SV97: $i,SV23: $i] :
( ( ! [SY196: $i] :
( ~ ( divides_points @ SY196 @ SV23 @ SV97 )
| ( left_apart_point @ SV23 @ SY196 )
| ( left_apart_point @ SV97 @ SY196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(481,plain,
! [SV98: $i,SV23: $i] :
( ( ! [SY197: $i] :
( ~ ( divides_points @ SY197 @ SV23 @ SV98 )
| ( left_apart_point @ SV98 @ ( reverse_line @ SY197 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SY197 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(482,plain,
! [SV99: $i,SV23: $i] :
( ( ! [SY198: $i] :
( ~ ( divides_points @ SY198 @ SV23 @ SV99 )
| ( left_apart_point @ SV99 @ ( reverse_line @ SY198 ) )
| ( left_apart_point @ SV99 @ SY198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(483,plain,
! [SV86: $i,SV89: $i,SV23: $i] :
( ( ( ~ ( left_apart_point @ SV23 @ SV89 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV86 @ ( reverse_line @ SV89 ) ) )
= $true )
| ( ( divides_points @ SV89 @ SV23 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(484,plain,
! [SV87: $i,SV90: $i,SV23: $i] :
( ( ( ~ ( left_apart_point @ SV23 @ ( reverse_line @ SV90 ) ) )
= $true )
| ( ( ~ ( left_apart_point @ SV87 @ SV90 ) )
= $true )
| ( ( divides_points @ SV90 @ SV23 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(485,plain,
! [SV24: $i,SV73: $i,SV72: $i] :
( ( ( distinct_points @ SV72 @ SV73 )
= $false )
| ( ( ( left_apart_point @ SV72 @ SV24 )
| ( left_apart_point @ SV72 @ ( reverse_line @ SV24 ) ) )
= $true )
| ( ( ( left_apart_point @ SV73 @ SV24 )
| ( left_apart_point @ SV73 @ ( reverse_line @ SV24 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV72 @ SV73 ) )
= $true )
| ( ( before_on_line @ SV24 @ SV72 @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(486,plain,
! [SV24: $i] :
( ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) )
| ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(487,plain,
! [SV24: $i] :
( ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) )
| ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(488,plain,
! [SV91: $i,SV88: $i,SV24: $i] :
( ( ( before_on_line @ SV24 @ SV88 @ SV91 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV88 @ SV91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(489,plain,
! [SV42: $i,SV25: $i] :
( ( ! [SY158: $i,SY159: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY158 @ SY159 )
| ( before_on_line @ SV25 @ SV42 @ SY158 )
| ( before_on_line @ SV25 @ SY159 @ SY158 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(490,plain,
! [SV42: $i,SV25: $i] :
( ( ! [SY160: $i] :
( ! [SY161: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SY160 @ SY161 )
| ( before_on_line @ SV25 @ SV42 @ SY160 )
| ( before_on_line @ SV25 @ SY160 @ SV42 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(491,plain,
! [SV42: $i,SV25: $i] :
( ( ! [SY162: $i,SY163: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY162 @ SY163 )
| ( before_on_line @ SV25 @ SY163 @ SY162 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(492,plain,
! [SV42: $i,SV25: $i] :
( ( ! [SY164: $i,SY165: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SY165 )
| ( before_on_line @ SV25 @ SY164 @ SV42 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(493,plain,
! [SV94: $i,SV92: $i,SV42: $i,SV25: $i] :
( ( ( ~ ( before_on_line @ SV25 @ SV42 @ SV92 )
| ~ ( before_on_line @ SV25 @ SV92 @ SV94 ) )
= $true )
| ( ( between_on_line @ SV25 @ SV42 @ SV92 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(494,plain,
! [SV42: $i,SV93: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( before_on_line @ SV25 @ SV95 @ SV93 )
| ~ ( before_on_line @ SV25 @ SV93 @ SV42 ) )
= $true )
| ( ( between_on_line @ SV25 @ SV42 @ SV93 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(495,plain,
! [SV47: $i,SV37: $i,SV43: $i,SV17: $i] :
( ( ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
= $true )
| ( ( ( left_apart_point @ SV37 @ SV47 )
| ( left_apart_point @ SV17 @ SV47 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( distinct_lines @ SV43 @ SV47 )
= $false )
| ( ( distinct_points @ SV17 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(496,plain,
! [SV80: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV80 ) )
= $false )
| ( ( unequally_directed_lines @ SV22 @ SV80 )
= $false )
| ( ( ! [SY186: $i] :
( ( unequally_directed_lines @ SV22 @ SY186 )
| ( unequally_directed_lines @ SV80 @ SY186 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(497,plain,
! [SV81: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV81 ) )
= $false )
| ( ( unequally_directed_lines @ SV22 @ SV81 )
= $false )
| ( ( ! [SY187: $i] :
( ( unequally_directed_lines @ SV22 @ SY187 )
| ( unequally_directed_lines @ SV81 @ ( reverse_line @ SY187 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(498,plain,
! [SV82: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV82 ) )
= $false )
| ( ( unequally_directed_lines @ SV22 @ SV82 )
= $false )
| ( ( ! [SY188: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY188 ) )
| ( unequally_directed_lines @ SV82 @ SY188 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(499,plain,
! [SV83: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV83 ) )
= $false )
| ( ( unequally_directed_lines @ SV22 @ SV83 )
= $false )
| ( ( ! [SY189: $i] :
( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SY189 ) )
| ( unequally_directed_lines @ SV83 @ ( reverse_line @ SY189 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(500,plain,
! [SV96: $i,SV23: $i,SV100: $i] :
( ( ~ ( divides_points @ SV100 @ SV23 @ SV96 )
| ( left_apart_point @ SV23 @ SV100 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SV100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(501,plain,
! [SV97: $i,SV23: $i,SV101: $i] :
( ( ~ ( divides_points @ SV101 @ SV23 @ SV97 )
| ( left_apart_point @ SV23 @ SV101 )
| ( left_apart_point @ SV97 @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(502,plain,
! [SV98: $i,SV23: $i,SV102: $i] :
( ( ~ ( divides_points @ SV102 @ SV23 @ SV98 )
| ( left_apart_point @ SV98 @ ( reverse_line @ SV102 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(503,plain,
! [SV99: $i,SV23: $i,SV103: $i] :
( ( ~ ( divides_points @ SV103 @ SV23 @ SV99 )
| ( left_apart_point @ SV99 @ ( reverse_line @ SV103 ) )
| ( left_apart_point @ SV99 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(504,plain,
! [SV86: $i,SV89: $i,SV23: $i] :
( ( ( left_apart_point @ SV23 @ SV89 )
= $false )
| ( ( ~ ( left_apart_point @ SV86 @ ( reverse_line @ SV89 ) ) )
= $true )
| ( ( divides_points @ SV89 @ SV23 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(505,plain,
! [SV87: $i,SV90: $i,SV23: $i] :
( ( ( left_apart_point @ SV23 @ ( reverse_line @ SV90 ) )
= $false )
| ( ( ~ ( left_apart_point @ SV87 @ SV90 ) )
= $true )
| ( ( divides_points @ SV90 @ SV23 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(506,plain,
! [SV73: $i,SV24: $i,SV72: $i] :
( ( ( left_apart_point @ SV72 @ SV24 )
= $true )
| ( ( left_apart_point @ SV72 @ ( reverse_line @ SV24 ) )
= $true )
| ( ( distinct_points @ SV72 @ SV73 )
= $false )
| ( ( ( left_apart_point @ SV73 @ SV24 )
| ( left_apart_point @ SV73 @ ( reverse_line @ SV24 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV72 @ SV73 ) )
= $true )
| ( ( before_on_line @ SV24 @ SV72 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(507,plain,
! [SV24: $i] :
( ( ~ ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(508,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(509,plain,
! [SV24: $i] :
( ( ~ ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(510,plain,
! [SV24: $i] :
( ( ~ ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(511,plain,
! [SV91: $i,SV88: $i,SV24: $i] :
( ( ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV88 @ SV91 ) )
= $false )
| ( ( before_on_line @ SV24 @ SV88 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(512,plain,
! [SV104: $i,SV42: $i,SV25: $i] :
( ( ! [SY199: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SV104 @ SY199 )
| ( before_on_line @ SV25 @ SV42 @ SV104 )
| ( before_on_line @ SV25 @ SY199 @ SV104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(513,plain,
! [SV105: $i,SV42: $i,SV25: $i] :
( ( ! [SY200: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SV105 @ SY200 )
| ( before_on_line @ SV25 @ SV42 @ SV105 )
| ( before_on_line @ SV25 @ SV105 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(514,plain,
! [SV106: $i,SV42: $i,SV25: $i] :
( ( ! [SY201: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SV106 @ SY201 )
| ( before_on_line @ SV25 @ SV106 @ SY201 )
| ( before_on_line @ SV25 @ SY201 @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(515,plain,
! [SV107: $i,SV42: $i,SV25: $i] :
( ( ! [SY202: $i] :
( ~ ( between_on_line @ SV25 @ SV42 @ SV107 @ SY202 )
| ( before_on_line @ SV25 @ SV107 @ SY202 )
| ( before_on_line @ SV25 @ SV107 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(516,plain,
! [SV94: $i,SV92: $i,SV42: $i,SV25: $i] :
( ( ( ~ ( before_on_line @ SV25 @ SV42 @ SV92 ) )
= $true )
| ( ( ~ ( before_on_line @ SV25 @ SV92 @ SV94 ) )
= $true )
| ( ( between_on_line @ SV25 @ SV42 @ SV92 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(517,plain,
! [SV42: $i,SV93: $i,SV95: $i,SV25: $i] :
( ( ( ~ ( before_on_line @ SV25 @ SV95 @ SV93 ) )
= $true )
| ( ( ~ ( before_on_line @ SV25 @ SV93 @ SV42 ) )
= $true )
| ( ( between_on_line @ SV25 @ SV42 @ SV93 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(518,plain,
! [SV43: $i,SV17: $i,SV47: $i,SV37: $i] :
( ( ( left_apart_point @ SV37 @ SV47 )
= $true )
| ( ( ( left_apart_point @ SV17 @ SV47 )
| ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( distinct_lines @ SV43 @ SV47 )
= $false )
| ( ( distinct_points @ SV17 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(519,plain,
! [SV80: $i,SV108: $i,SV22: $i] :
( ( ( ( unequally_directed_lines @ SV22 @ SV108 )
| ( unequally_directed_lines @ SV80 @ SV108 ) )
= $true )
| ( ( unequally_directed_lines @ SV22 @ SV80 )
= $false )
| ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV80 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(520,plain,
! [SV81: $i,SV109: $i,SV22: $i] :
( ( ( ( unequally_directed_lines @ SV22 @ SV109 )
| ( unequally_directed_lines @ SV81 @ ( reverse_line @ SV109 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV22 @ SV81 )
= $false )
| ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV81 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(521,plain,
! [SV82: $i,SV110: $i,SV22: $i] :
( ( ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV110 ) )
| ( unequally_directed_lines @ SV82 @ SV110 ) )
= $true )
| ( ( unequally_directed_lines @ SV22 @ SV82 )
= $false )
| ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV82 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(522,plain,
! [SV83: $i,SV111: $i,SV22: $i] :
( ( ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV111 ) )
| ( unequally_directed_lines @ SV83 @ ( reverse_line @ SV111 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV22 @ SV83 )
= $false )
| ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV83 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(523,plain,
! [SV96: $i,SV23: $i,SV100: $i] :
( ( ( ~ ( divides_points @ SV100 @ SV23 @ SV96 ) )
= $true )
| ( ( ( left_apart_point @ SV23 @ SV100 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(524,plain,
! [SV97: $i,SV23: $i,SV101: $i] :
( ( ( ~ ( divides_points @ SV101 @ SV23 @ SV97 ) )
= $true )
| ( ( ( left_apart_point @ SV23 @ SV101 )
| ( left_apart_point @ SV97 @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(525,plain,
! [SV98: $i,SV23: $i,SV102: $i] :
( ( ( ~ ( divides_points @ SV102 @ SV23 @ SV98 ) )
= $true )
| ( ( ( left_apart_point @ SV98 @ ( reverse_line @ SV102 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SV102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(526,plain,
! [SV99: $i,SV23: $i,SV103: $i] :
( ( ( ~ ( divides_points @ SV103 @ SV23 @ SV99 ) )
= $true )
| ( ( ( left_apart_point @ SV99 @ ( reverse_line @ SV103 ) )
| ( left_apart_point @ SV99 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(527,plain,
! [SV23: $i,SV89: $i,SV86: $i] :
( ( ( left_apart_point @ SV86 @ ( reverse_line @ SV89 ) )
= $false )
| ( ( left_apart_point @ SV23 @ SV89 )
= $false )
| ( ( divides_points @ SV89 @ SV23 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(528,plain,
! [SV23: $i,SV90: $i,SV87: $i] :
( ( ( left_apart_point @ SV87 @ SV90 )
= $false )
| ( ( left_apart_point @ SV23 @ ( reverse_line @ SV90 ) )
= $false )
| ( ( divides_points @ SV90 @ SV23 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(529,plain,
! [SV72: $i,SV24: $i,SV73: $i] :
( ( ( left_apart_point @ SV73 @ SV24 )
= $true )
| ( ( left_apart_point @ SV73 @ ( reverse_line @ SV24 ) )
= $true )
| ( ( distinct_points @ SV72 @ SV73 )
= $false )
| ( ( left_apart_point @ SV72 @ ( reverse_line @ SV24 ) )
= $true )
| ( ( left_apart_point @ SV72 @ SV24 )
= $true )
| ( ( unequally_directed_lines @ SV24 @ ( line_connecting @ SV72 @ SV73 ) )
= $true )
| ( ( before_on_line @ SV24 @ SV72 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(530,plain,
! [SV24: $i] :
( ( ! [SY124: $i,SY125: $i] :
( ~ ( before_on_line @ SV24 @ SY124 @ SY125 )
| ( distinct_points @ SY124 @ SY125 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(531,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(532,plain,
! [SV24: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ~ ( before_on_line @ SV24 @ SY130 @ SY131 )
| ~ ( left_apart_point @ SY131 @ SV24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(533,plain,
! [SV24: $i] :
( ( ! [SY132: $i,SY133: $i] :
( ~ ( before_on_line @ SV24 @ SY132 @ SY133 )
| ~ ( left_apart_point @ SY133 @ ( reverse_line @ SV24 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(534,plain,
! [SV112: $i,SV104: $i,SV42: $i,SV25: $i] :
( ( ~ ( between_on_line @ SV25 @ SV42 @ SV104 @ SV112 )
| ( before_on_line @ SV25 @ SV42 @ SV104 )
| ( before_on_line @ SV25 @ SV112 @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(535,plain,
! [SV105: $i,SV42: $i,SV25: $i] :
( ( ( ! [SY200: $i] :
~ ( between_on_line @ SV25 @ SV42 @ SV105 @ SY200 ) )
= $true )
| ( ( ( before_on_line @ SV25 @ SV42 @ SV105 )
| ( before_on_line @ SV25 @ SV105 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(536,plain,
! [SV113: $i,SV106: $i,SV42: $i,SV25: $i] :
( ( ~ ( between_on_line @ SV25 @ SV42 @ SV106 @ SV113 )
| ( before_on_line @ SV25 @ SV106 @ SV113 )
| ( before_on_line @ SV25 @ SV113 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(537,plain,
! [SV114: $i,SV107: $i,SV42: $i,SV25: $i] :
( ( ~ ( between_on_line @ SV25 @ SV42 @ SV107 @ SV114 )
| ( before_on_line @ SV25 @ SV107 @ SV114 )
| ( before_on_line @ SV25 @ SV107 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(538,plain,
! [SV94: $i,SV92: $i,SV42: $i,SV25: $i] :
( ( ( before_on_line @ SV25 @ SV42 @ SV92 )
= $false )
| ( ( ~ ( before_on_line @ SV25 @ SV92 @ SV94 ) )
= $true )
| ( ( between_on_line @ SV25 @ SV42 @ SV92 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(539,plain,
! [SV42: $i,SV93: $i,SV95: $i,SV25: $i] :
( ( ( before_on_line @ SV25 @ SV95 @ SV93 )
= $false )
| ( ( ~ ( before_on_line @ SV25 @ SV93 @ SV42 ) )
= $true )
| ( ( between_on_line @ SV25 @ SV42 @ SV93 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(540,plain,
! [SV37: $i,SV43: $i,SV47: $i,SV17: $i] :
( ( ( left_apart_point @ SV17 @ SV47 )
= $true )
| ( ( ( left_apart_point @ SV17 @ SV43 )
| ( left_apart_point @ SV37 @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV37 @ SV47 )
= $true )
| ( ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( distinct_lines @ SV43 @ SV47 )
= $false )
| ( ( distinct_points @ SV17 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(541,plain,
! [SV80: $i,SV108: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ SV108 )
= $true )
| ( ( unequally_directed_lines @ SV80 @ SV108 )
= $true )
| ( ( unequally_directed_lines @ SV22 @ SV80 )
= $false )
| ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV80 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(542,plain,
! [SV81: $i,SV109: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ SV109 )
= $true )
| ( ( unequally_directed_lines @ SV81 @ ( reverse_line @ SV109 ) )
= $true )
| ( ( unequally_directed_lines @ SV22 @ SV81 )
= $false )
| ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV81 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(543,plain,
! [SV82: $i,SV110: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV110 ) )
= $true )
| ( ( unequally_directed_lines @ SV82 @ SV110 )
= $true )
| ( ( unequally_directed_lines @ SV22 @ SV82 )
= $false )
| ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV82 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(544,plain,
! [SV83: $i,SV111: $i,SV22: $i] :
( ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV111 ) )
= $true )
| ( ( unequally_directed_lines @ SV83 @ ( reverse_line @ SV111 ) )
= $true )
| ( ( unequally_directed_lines @ SV22 @ SV83 )
= $false )
| ( ( unequally_directed_lines @ SV22 @ ( reverse_line @ SV83 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(545,plain,
! [SV96: $i,SV23: $i,SV100: $i] :
( ( ( divides_points @ SV100 @ SV23 @ SV96 )
= $false )
| ( ( ( left_apart_point @ SV23 @ SV100 )
| ( left_apart_point @ SV23 @ ( reverse_line @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(546,plain,
! [SV97: $i,SV23: $i,SV101: $i] :
( ( ( divides_points @ SV101 @ SV23 @ SV97 )
= $false )
| ( ( ( left_apart_point @ SV23 @ SV101 )
| ( left_apart_point @ SV97 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(547,plain,
! [SV98: $i,SV23: $i,SV102: $i] :
( ( ( divides_points @ SV102 @ SV23 @ SV98 )
= $false )
| ( ( ( left_apart_point @ SV98 @ ( reverse_line @ SV102 ) )
| ( left_apart_point @ SV23 @ ( reverse_line @ SV102 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(548,plain,
! [SV99: $i,SV23: $i,SV103: $i] :
( ( ( divides_points @ SV103 @ SV23 @ SV99 )
= $false )
| ( ( ( left_apart_point @ SV99 @ ( reverse_line @ SV103 ) )
| ( left_apart_point @ SV99 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(549,plain,
! [SV115: $i,SV24: $i] :
( ( ! [SY203: $i] :
( ~ ( before_on_line @ SV24 @ SV115 @ SY203 )
| ( distinct_points @ SV115 @ SY203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(550,plain,
! [SV24: $i] :
( ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) )
| ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(551,plain,
! [SV116: $i,SV24: $i] :
( ( ! [SY204: $i] :
( ~ ( before_on_line @ SV24 @ SV116 @ SY204 )
| ~ ( left_apart_point @ SY204 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(552,plain,
! [SV117: $i,SV24: $i] :
( ( ! [SY205: $i] :
( ~ ( before_on_line @ SV24 @ SV117 @ SY205 )
| ~ ( left_apart_point @ SY205 @ ( reverse_line @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(553,plain,
! [SV112: $i,SV104: $i,SV42: $i,SV25: $i] :
( ( ( ~ ( between_on_line @ SV25 @ SV42 @ SV104 @ SV112 ) )
= $true )
| ( ( ( before_on_line @ SV25 @ SV42 @ SV104 )
| ( before_on_line @ SV25 @ SV112 @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(554,plain,
! [SV118: $i,SV105: $i,SV42: $i,SV25: $i] :
( ( ( ~ ( between_on_line @ SV25 @ SV42 @ SV105 @ SV118 ) )
= $true )
| ( ( ( before_on_line @ SV25 @ SV42 @ SV105 )
| ( before_on_line @ SV25 @ SV105 @ SV42 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(555,plain,
! [SV113: $i,SV106: $i,SV42: $i,SV25: $i] :
( ( ( ~ ( between_on_line @ SV25 @ SV42 @ SV106 @ SV113 ) )
= $true )
| ( ( ( before_on_line @ SV25 @ SV106 @ SV113 )
| ( before_on_line @ SV25 @ SV113 @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(556,plain,
! [SV114: $i,SV107: $i,SV42: $i,SV25: $i] :
( ( ( ~ ( between_on_line @ SV25 @ SV42 @ SV107 @ SV114 ) )
= $true )
| ( ( ( before_on_line @ SV25 @ SV107 @ SV114 )
| ( before_on_line @ SV25 @ SV107 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(557,plain,
! [SV42: $i,SV94: $i,SV92: $i,SV25: $i] :
( ( ( before_on_line @ SV25 @ SV92 @ SV94 )
= $false )
| ( ( before_on_line @ SV25 @ SV42 @ SV92 )
= $false )
| ( ( between_on_line @ SV25 @ SV42 @ SV92 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(558,plain,
! [SV95: $i,SV42: $i,SV93: $i,SV25: $i] :
( ( ( before_on_line @ SV25 @ SV93 @ SV42 )
= $false )
| ( ( before_on_line @ SV25 @ SV95 @ SV93 )
= $false )
| ( ( between_on_line @ SV25 @ SV42 @ SV93 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(559,plain,
! [SV47: $i,SV37: $i,SV43: $i,SV17: $i] :
( ( ( left_apart_point @ SV17 @ SV43 )
= $true )
| ( ( left_apart_point @ SV37 @ SV43 )
= $true )
| ( ( left_apart_point @ SV17 @ SV47 )
= $true )
| ( ( left_apart_point @ SV37 @ SV47 )
= $true )
| ( ( left_apart_point @ SV17 @ ( reverse_line @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV37 @ ( reverse_line @ SV43 ) )
= $true )
| ( ( left_apart_point @ SV17 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( left_apart_point @ SV37 @ ( reverse_line @ SV47 ) )
= $true )
| ( ( distinct_lines @ SV43 @ SV47 )
= $false )
| ( ( distinct_points @ SV17 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(560,plain,
! [SV96: $i,SV100: $i,SV23: $i] :
( ( ( left_apart_point @ SV23 @ SV100 )
= $true )
| ( ( left_apart_point @ SV23 @ ( reverse_line @ SV100 ) )
= $true )
| ( ( divides_points @ SV100 @ SV23 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(561,plain,
! [SV97: $i,SV101: $i,SV23: $i] :
( ( ( left_apart_point @ SV23 @ SV101 )
= $true )
| ( ( left_apart_point @ SV97 @ SV101 )
= $true )
| ( ( divides_points @ SV101 @ SV23 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(562,plain,
! [SV23: $i,SV102: $i,SV98: $i] :
( ( ( left_apart_point @ SV98 @ ( reverse_line @ SV102 ) )
= $true )
| ( ( left_apart_point @ SV23 @ ( reverse_line @ SV102 ) )
= $true )
| ( ( divides_points @ SV102 @ SV23 @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(563,plain,
! [SV23: $i,SV103: $i,SV99: $i] :
( ( ( left_apart_point @ SV99 @ ( reverse_line @ SV103 ) )
= $true )
| ( ( left_apart_point @ SV99 @ SV103 )
= $true )
| ( ( divides_points @ SV103 @ SV23 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(564,plain,
! [SV119: $i,SV115: $i,SV24: $i] :
( ( ~ ( before_on_line @ SV24 @ SV115 @ SV119 )
| ( distinct_points @ SV115 @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(565,plain,
! [SV24: $i] :
( ( ~ ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(566,plain,
! [SV24: $i] :
( ( ~ ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(567,plain,
! [SV120: $i,SV116: $i,SV24: $i] :
( ( ~ ( before_on_line @ SV24 @ SV116 @ SV120 )
| ~ ( left_apart_point @ SV120 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(568,plain,
! [SV121: $i,SV117: $i,SV24: $i] :
( ( ~ ( before_on_line @ SV24 @ SV117 @ SV121 )
| ~ ( left_apart_point @ SV121 @ ( reverse_line @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(569,plain,
! [SV112: $i,SV104: $i,SV42: $i,SV25: $i] :
( ( ( between_on_line @ SV25 @ SV42 @ SV104 @ SV112 )
= $false )
| ( ( ( before_on_line @ SV25 @ SV42 @ SV104 )
| ( before_on_line @ SV25 @ SV112 @ SV104 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(570,plain,
! [SV118: $i,SV105: $i,SV42: $i,SV25: $i] :
( ( ( between_on_line @ SV25 @ SV42 @ SV105 @ SV118 )
= $false )
| ( ( ( before_on_line @ SV25 @ SV42 @ SV105 )
| ( before_on_line @ SV25 @ SV105 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(571,plain,
! [SV113: $i,SV106: $i,SV42: $i,SV25: $i] :
( ( ( between_on_line @ SV25 @ SV42 @ SV106 @ SV113 )
= $false )
| ( ( ( before_on_line @ SV25 @ SV106 @ SV113 )
| ( before_on_line @ SV25 @ SV113 @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(572,plain,
! [SV114: $i,SV107: $i,SV42: $i,SV25: $i] :
( ( ( between_on_line @ SV25 @ SV42 @ SV107 @ SV114 )
= $false )
| ( ( ( before_on_line @ SV25 @ SV107 @ SV114 )
| ( before_on_line @ SV25 @ SV107 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(573,plain,
! [SV119: $i,SV115: $i,SV24: $i] :
( ( ( ~ ( before_on_line @ SV24 @ SV115 @ SV119 ) )
= $true )
| ( ( distinct_points @ SV115 @ SV119 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[564]) ).
thf(574,plain,
! [SV24: $i] :
( ( ! [SY126: $i] :
( ! [SY127: $i] :
~ ( before_on_line @ SV24 @ SY126 @ SY127 )
| ~ ( left_apart_point @ SY126 @ SV24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(575,plain,
! [SV24: $i] :
( ( ! [SY128: $i] :
( ! [SY129: $i] :
~ ( before_on_line @ SV24 @ SY128 @ SY129 )
| ~ ( left_apart_point @ SY128 @ ( reverse_line @ SV24 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(576,plain,
! [SV120: $i,SV116: $i,SV24: $i] :
( ( ( ~ ( before_on_line @ SV24 @ SV116 @ SV120 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV120 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(577,plain,
! [SV121: $i,SV117: $i,SV24: $i] :
( ( ( ~ ( before_on_line @ SV24 @ SV117 @ SV121 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV121 @ ( reverse_line @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(578,plain,
! [SV112: $i,SV104: $i,SV42: $i,SV25: $i] :
( ( ( before_on_line @ SV25 @ SV42 @ SV104 )
= $true )
| ( ( before_on_line @ SV25 @ SV112 @ SV104 )
= $true )
| ( ( between_on_line @ SV25 @ SV42 @ SV104 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(579,plain,
! [SV118: $i,SV105: $i,SV42: $i,SV25: $i] :
( ( ( before_on_line @ SV25 @ SV42 @ SV105 )
= $true )
| ( ( before_on_line @ SV25 @ SV105 @ SV42 )
= $true )
| ( ( between_on_line @ SV25 @ SV42 @ SV105 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(580,plain,
! [SV42: $i,SV113: $i,SV106: $i,SV25: $i] :
( ( ( before_on_line @ SV25 @ SV106 @ SV113 )
= $true )
| ( ( before_on_line @ SV25 @ SV113 @ SV106 )
= $true )
| ( ( between_on_line @ SV25 @ SV42 @ SV106 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(581,plain,
! [SV42: $i,SV114: $i,SV107: $i,SV25: $i] :
( ( ( before_on_line @ SV25 @ SV107 @ SV114 )
= $true )
| ( ( before_on_line @ SV25 @ SV107 @ SV42 )
= $true )
| ( ( between_on_line @ SV25 @ SV42 @ SV107 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(582,plain,
! [SV119: $i,SV115: $i,SV24: $i] :
( ( ( before_on_line @ SV24 @ SV115 @ SV119 )
= $false )
| ( ( distinct_points @ SV115 @ SV119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(583,plain,
! [SV122: $i,SV24: $i] :
( ( ! [SY206: $i] :
~ ( before_on_line @ SV24 @ SV122 @ SY206 )
| ~ ( left_apart_point @ SV122 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(584,plain,
! [SV123: $i,SV24: $i] :
( ( ! [SY207: $i] :
~ ( before_on_line @ SV24 @ SV123 @ SY207 )
| ~ ( left_apart_point @ SV123 @ ( reverse_line @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(585,plain,
! [SV120: $i,SV116: $i,SV24: $i] :
( ( ( before_on_line @ SV24 @ SV116 @ SV120 )
= $false )
| ( ( ~ ( left_apart_point @ SV120 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(586,plain,
! [SV121: $i,SV117: $i,SV24: $i] :
( ( ( before_on_line @ SV24 @ SV117 @ SV121 )
= $false )
| ( ( ~ ( left_apart_point @ SV121 @ ( reverse_line @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(587,plain,
! [SV122: $i,SV24: $i] :
( ( ( ! [SY206: $i] :
~ ( before_on_line @ SV24 @ SV122 @ SY206 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV122 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(588,plain,
! [SV123: $i,SV24: $i] :
( ( ( ! [SY207: $i] :
~ ( before_on_line @ SV24 @ SV123 @ SY207 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV123 @ ( reverse_line @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(589,plain,
! [SV116: $i,SV24: $i,SV120: $i] :
( ( ( left_apart_point @ SV120 @ SV24 )
= $false )
| ( ( before_on_line @ SV24 @ SV116 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(590,plain,
! [SV117: $i,SV24: $i,SV121: $i] :
( ( ( left_apart_point @ SV121 @ ( reverse_line @ SV24 ) )
= $false )
| ( ( before_on_line @ SV24 @ SV117 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(591,plain,
! [SV124: $i,SV122: $i,SV24: $i] :
( ( ( ~ ( before_on_line @ SV24 @ SV122 @ SV124 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV122 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(592,plain,
! [SV125: $i,SV123: $i,SV24: $i] :
( ( ( ~ ( before_on_line @ SV24 @ SV123 @ SV125 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV123 @ ( reverse_line @ SV24 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(593,plain,
! [SV124: $i,SV122: $i,SV24: $i] :
( ( ( before_on_line @ SV24 @ SV122 @ SV124 )
= $false )
| ( ( ~ ( left_apart_point @ SV122 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(594,plain,
! [SV125: $i,SV123: $i,SV24: $i] :
( ( ( before_on_line @ SV24 @ SV123 @ SV125 )
= $false )
| ( ( ~ ( left_apart_point @ SV123 @ ( reverse_line @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(595,plain,
! [SV124: $i,SV24: $i,SV122: $i] :
( ( ( left_apart_point @ SV122 @ SV24 )
= $false )
| ( ( before_on_line @ SV24 @ SV122 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(596,plain,
! [SV125: $i,SV24: $i,SV123: $i] :
( ( ( left_apart_point @ SV123 @ ( reverse_line @ SV24 ) )
= $false )
| ( ( before_on_line @ SV24 @ SV123 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(597,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[131,596,595,590,589,582,581,580,579,578,563,562,561,560,559,558,557,544,543,542,541,529,528,527,511,457,456,455,454,449,448,446,421,403,402,401,393,392,389,358,357,333,332,331,330,329,327,324,319,318,317,224,223,222,221,189,180,178,176,165,132]) ).
thf(598,plain,
( ( ! [A: $i,L: $i] :
( ~ ( apart_point_and_line @ A @ L )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [A: $i,L: $i] :
( ~ ( left_apart_point @ A @ L )
| ( apart_point_and_line @ A @ L ) )
& ! [A: $i,L: $i] :
( ~ ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( apart_point_and_line @ A @ L ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(599,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ( convergent_lines @ L @ M ) )
& ! [L: $i,M: $i] :
( ~ ( convergent_lines @ L @ M )
| ( unequally_directed_lines @ L @ M ) )
& ! [L: $i,M: $i] :
( ~ ( convergent_lines @ L @ M )
| ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(600,plain,
( ( ! [A: $i] :
( ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L ) )
& ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [B: $i,L: $i] :
( ~ ( divides_points @ L @ A @ B )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ L ) )
& ! [B: $i,L: $i] :
( ~ ( left_apart_point @ A @ L )
| ~ ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( divides_points @ L @ A @ B ) )
& ! [B: $i,L: $i] :
( ~ ( left_apart_point @ A @ ( reverse_line @ L ) )
| ~ ( left_apart_point @ B @ L )
| ( divides_points @ L @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(601,plain,
( ( ! [L: $i] :
( ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ L )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( unequally_directed_lines @ L @ ( line_connecting @ A @ B ) )
| ( before_on_line @ L @ A @ B ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ( distinct_points @ A @ B ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ A @ L ) )
& ! [A: $i] :
( ! [B: $i] :
~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ A @ ( reverse_line @ L ) ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ B @ L ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( left_apart_point @ B @ ( reverse_line @ L ) ) )
& ! [A: $i,B: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( unequally_directed_lines @ L @ ( line_connecting @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(602,plain,
( ( ! [L: $i,A: $i] :
( ! [B: $i,C: $i] :
( ~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ A @ B )
| ( before_on_line @ L @ C @ B ) )
& ! [B: $i] :
( ! [C: $i] :
~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ A @ B )
| ( before_on_line @ L @ B @ A ) )
& ! [B: $i,C: $i] :
( ~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ B @ C )
| ( before_on_line @ L @ C @ B ) )
& ! [B: $i,C: $i] :
( ~ ( between_on_line @ L @ A @ B @ C )
| ( before_on_line @ L @ B @ C )
| ( before_on_line @ L @ B @ A ) )
& ! [B: $i,C: $i] :
( ~ ( before_on_line @ L @ A @ B )
| ~ ( before_on_line @ L @ B @ C )
| ( between_on_line @ L @ A @ B @ C ) )
& ! [B: $i,C: $i] :
( ~ ( before_on_line @ L @ C @ B )
| ~ ( before_on_line @ L @ B @ A )
| ( between_on_line @ L @ A @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(603,plain,
( ( ! [A: $i] :
~ ( distinct_points @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(604,plain,
( ( ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ! [C: $i] :
( ( distinct_points @ A @ C )
| ( distinct_points @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(605,plain,
( ( ! [L: $i] :
~ ( distinct_lines @ L @ L ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(606,plain,
( ( ! [L: $i,M: $i] :
( ~ ( distinct_lines @ L @ M )
| ! [N: $i] :
( ( distinct_lines @ L @ N )
| ( distinct_lines @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(607,plain,
( ( ! [L: $i] :
~ ( unequally_directed_lines @ L @ L ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(608,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(609,plain,
( ( ! [L: $i] :
( ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) )
& ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ N )
| ( unequally_directed_lines @ M @ ( reverse_line @ N ) ) ) )
& ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ ( reverse_line @ N ) )
| ( unequally_directed_lines @ M @ N ) ) )
& ! [M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ! [N: $i] :
( ( unequally_directed_lines @ L @ ( reverse_line @ N ) )
| ( unequally_directed_lines @ M @ ( reverse_line @ N ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(610,plain,
( ( ! [L: $i,M: $i] :
( ~ ( line @ L )
| ~ ( line @ M )
| ( unequally_directed_lines @ L @ M )
| ( unequally_directed_lines @ L @ ( reverse_line @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(611,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ( left_convergent_lines @ L @ M )
| ( left_convergent_lines @ L @ ( reverse_line @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(612,plain,
( ( ! [A: $i,L: $i] :
~ ( left_apart_point @ A @ L )
& ! [A: $i,L: $i] :
~ ( left_apart_point @ A @ ( reverse_line @ L ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(613,plain,
( ( ! [L: $i,M: $i] :
~ ( left_convergent_lines @ L @ M )
& ! [L: $i,M: $i] :
~ ( left_convergent_lines @ L @ ( reverse_line @ M ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(614,plain,
( ( ! [A: $i,B: $i] :
( ~ ( point @ A )
| ~ ( point @ B )
| ~ ( distinct_points @ A @ B )
| ( line @ ( line_connecting @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(615,plain,
( ( ! [L: $i,M: $i] :
( ~ ( line @ L )
| ~ ( line @ M )
| ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ( point @ ( intersection_point @ L @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(616,plain,
( ( ! [L: $i,A: $i] :
( ~ ( line @ L )
| ~ ( point @ A )
| ( line @ ( parallel_through_point @ L @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(617,plain,
( ( ! [L: $i] :
( ~ ( line @ L )
| ( line @ ( reverse_line @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(618,plain,
( ( ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ~ ( apart_point_and_line @ A @ ( line_connecting @ A @ B ) ) )
& ! [A: $i,B: $i] :
( ~ ( distinct_points @ A @ B )
| ~ ( apart_point_and_line @ B @ ( line_connecting @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(619,plain,
( ( ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ~ ( apart_point_and_line @ ( intersection_point @ L @ M ) @ L ) )
& ! [L: $i,M: $i] :
( ~ ( unequally_directed_lines @ L @ M )
| ~ ( unequally_directed_lines @ L @ ( reverse_line @ M ) )
| ~ ( apart_point_and_line @ ( intersection_point @ L @ M ) @ M ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(620,plain,
( ( ! [A: $i,L: $i] :
~ ( apart_point_and_line @ A @ ( parallel_through_point @ L @ A ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(621,plain,
( ( ! [L: $i] :
~ ( distinct_lines @ L @ ( reverse_line @ L ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(622,plain,
( ( ! [A: $i,B: $i] :
~ ( unequally_directed_lines @ ( line_connecting @ A @ B ) @ ( reverse_line @ ( line_connecting @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(623,plain,
( ( ! [A: $i,L: $i] :
~ ( unequally_directed_lines @ ( parallel_through_point @ L @ A ) @ L ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(624,plain,
( ( ! [A: $i,B: $i,L: $i,M: $i] :
( ~ ( distinct_lines @ L @ M )
| ~ ( distinct_points @ A @ B )
| ( left_apart_point @ B @ ( reverse_line @ M ) )
| ( left_apart_point @ A @ ( reverse_line @ M ) )
| ( left_apart_point @ B @ ( reverse_line @ L ) )
| ( left_apart_point @ A @ ( reverse_line @ L ) )
| ( left_apart_point @ B @ M )
| ( left_apart_point @ A @ M )
| ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(625,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ~ ( distinct_points @ A @ B )
| ~ ( left_apart_point @ A @ L )
| ( left_apart_point @ B @ L )
| ( left_convergent_lines @ ( line_connecting @ A @ B ) @ L ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(626,plain,
( ( ! [A: $i,B: $i,L: $i] :
( ~ ( left_apart_point @ A @ L )
| ( distinct_points @ A @ B )
| ( left_apart_point @ B @ L ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(627,plain,
( ( ! [A: $i,L: $i,M: $i] :
( ~ ( left_apart_point @ A @ L )
| ~ ( unequally_directed_lines @ L @ M )
| ( distinct_lines @ L @ M )
| ( left_apart_point @ A @ ( reverse_line @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(628,plain,
( ( ! [L: $i,M: $i] :
( ~ ( left_convergent_lines @ L @ M )
| ! [N: $i] :
( ( left_convergent_lines @ L @ N )
| ( unequally_directed_lines @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(629,plain,
( ( left_apart_point @ sK2_SY74 @ ( reverse_line @ sK3_SY76 ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(630,plain,
( ( left_apart_point @ sK1_A @ sK3_SY76 )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(631,plain,
( ( ~ ( left_convergent_lines @ ( line_connecting @ sK1_A @ sK2_SY74 ) @ sK3_SY76 ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(632,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( apart_point_and_line @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[598]) ).
thf(633,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( distinct_points @ SX1 @ SX2 )
| ( left_apart_point @ SX1 @ SX0 )
| ( left_apart_point @ SX1 @ ( reverse_line @ SX0 ) )
| ( left_apart_point @ SX2 @ SX0 )
| ( left_apart_point @ SX2 @ ( reverse_line @ SX0 ) )
| ( unequally_directed_lines @ SX0 @ ( line_connecting @ SX1 @ SX2 ) )
| ( before_on_line @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ( distinct_points @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( left_apart_point @ SX1 @ SX0 ) )
| ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( left_apart_point @ SX1 @ ( reverse_line @ SX0 ) ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( left_apart_point @ SX2 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( left_apart_point @ SX2 @ ( reverse_line @ SX0 ) ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( unequally_directed_lines @ SX0 @ ( line_connecting @ SX1 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[601]) ).
thf(634,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ SX1 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[612]) ).
thf(635,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX0 @ ( line_connecting @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX1 @ ( line_connecting @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[618]) ).
thf(636,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX1 @ SX2 )
| ( before_on_line @ SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i] :
( ! [SX3: $i] :
~ ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX1 @ SX2 )
| ( before_on_line @ SX0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX2 @ SX3 )
| ( before_on_line @ SX0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( before_on_line @ SX0 @ SX1 @ SX2 )
| ~ ( before_on_line @ SX0 @ SX2 @ SX3 )
| ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( before_on_line @ SX0 @ SX3 @ SX2 )
| ~ ( before_on_line @ SX0 @ SX2 @ SX1 )
| ( between_on_line @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[602]) ).
thf(637,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ( convergent_lines @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[599]) ).
thf(638,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( divides_points @ SX2 @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX2 )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( divides_points @ SX2 @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX2 )
| ( left_apart_point @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( divides_points @ SX2 @ SX0 @ SX1 )
| ( left_apart_point @ SX1 @ ( reverse_line @ SX2 ) )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( divides_points @ SX2 @ SX0 @ SX1 )
| ( left_apart_point @ SX1 @ ( reverse_line @ SX2 ) )
| ( left_apart_point @ SX1 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( left_apart_point @ SX0 @ SX2 )
| ~ ( left_apart_point @ SX1 @ ( reverse_line @ SX2 ) )
| ( divides_points @ SX2 @ SX0 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX2 ) )
| ~ ( left_apart_point @ SX1 @ SX2 )
| ( divides_points @ SX2 @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[600]) ).
thf(639,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ! [SX2: $i] :
( ( unequally_directed_lines @ SX0 @ SX2 )
| ( unequally_directed_lines @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ! [SX2: $i] :
( ( unequally_directed_lines @ SX0 @ SX2 )
| ( unequally_directed_lines @ SX1 @ ( reverse_line @ SX2 ) ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ! [SX2: $i] :
( ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX2 ) )
| ( unequally_directed_lines @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ! [SX2: $i] :
( ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX2 ) )
| ( unequally_directed_lines @ SX1 @ ( reverse_line @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[609]) ).
thf(640,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ SX1 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[613]) ).
thf(641,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[619]) ).
thf(642,plain,
! [SV126: $i] :
( ( ~ ( distinct_points @ SV126 @ SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(643,plain,
! [SV127: $i] :
( ( ! [SY208: $i] :
( ~ ( distinct_points @ SV127 @ SY208 )
| ! [SY209: $i] :
( ( distinct_points @ SV127 @ SY209 )
| ( distinct_points @ SY208 @ SY209 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(644,plain,
! [SV128: $i] :
( ( ~ ( distinct_lines @ SV128 @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(645,plain,
! [SV129: $i] :
( ( ! [SY210: $i] :
( ~ ( distinct_lines @ SV129 @ SY210 )
| ! [SY211: $i] :
( ( distinct_lines @ SV129 @ SY211 )
| ( distinct_lines @ SY210 @ SY211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(646,plain,
! [SV130: $i] :
( ( ~ ( unequally_directed_lines @ SV130 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(647,plain,
! [SV131: $i] :
( ( ! [SY212: $i] :
( ~ ( unequally_directed_lines @ SV131 @ SY212 )
| ! [SY213: $i] :
( ( unequally_directed_lines @ SV131 @ SY213 )
| ( unequally_directed_lines @ SY212 @ SY213 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(648,plain,
! [SV132: $i] :
( ( ! [SY214: $i] :
( ~ ( line @ SV132 )
| ~ ( line @ SY214 )
| ( unequally_directed_lines @ SV132 @ SY214 )
| ( unequally_directed_lines @ SV132 @ ( reverse_line @ SY214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(649,plain,
! [SV133: $i] :
( ( ! [SY215: $i] :
( ~ ( unequally_directed_lines @ SV133 @ SY215 )
| ~ ( unequally_directed_lines @ SV133 @ ( reverse_line @ SY215 ) )
| ( left_convergent_lines @ SV133 @ SY215 )
| ( left_convergent_lines @ SV133 @ ( reverse_line @ SY215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(650,plain,
! [SV134: $i] :
( ( ! [SY216: $i] :
( ~ ( point @ SV134 )
| ~ ( point @ SY216 )
| ~ ( distinct_points @ SV134 @ SY216 )
| ( line @ ( line_connecting @ SV134 @ SY216 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(651,plain,
! [SV135: $i] :
( ( ! [SY217: $i] :
( ~ ( line @ SV135 )
| ~ ( line @ SY217 )
| ~ ( unequally_directed_lines @ SV135 @ SY217 )
| ~ ( unequally_directed_lines @ SV135 @ ( reverse_line @ SY217 ) )
| ( point @ ( intersection_point @ SV135 @ SY217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(652,plain,
! [SV136: $i] :
( ( ! [SY218: $i] :
( ~ ( line @ SV136 )
| ~ ( point @ SY218 )
| ( line @ ( parallel_through_point @ SV136 @ SY218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(653,plain,
! [SV137: $i] :
( ( ~ ( line @ SV137 )
| ( line @ ( reverse_line @ SV137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(654,plain,
! [SV138: $i] :
( ( ! [SY219: $i] :
~ ( apart_point_and_line @ SV138 @ ( parallel_through_point @ SY219 @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(655,plain,
! [SV139: $i] :
( ( ~ ( distinct_lines @ SV139 @ ( reverse_line @ SV139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(656,plain,
! [SV140: $i] :
( ( ! [SY220: $i] :
~ ( unequally_directed_lines @ ( line_connecting @ SV140 @ SY220 ) @ ( reverse_line @ ( line_connecting @ SY220 @ SV140 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(657,plain,
! [SV141: $i] :
( ( ! [SY221: $i] :
~ ( unequally_directed_lines @ ( parallel_through_point @ SY221 @ SV141 ) @ SY221 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(658,plain,
! [SV142: $i] :
( ( ! [SY222: $i,SY223: $i,SY224: $i] :
( ~ ( distinct_lines @ SY223 @ SY224 )
| ~ ( distinct_points @ SV142 @ SY222 )
| ( left_apart_point @ SY222 @ ( reverse_line @ SY224 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SY224 ) )
| ( left_apart_point @ SY222 @ ( reverse_line @ SY223 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SY223 ) )
| ( left_apart_point @ SY222 @ SY224 )
| ( left_apart_point @ SV142 @ SY224 )
| ( left_apart_point @ SV142 @ SY223 )
| ( left_apart_point @ SY222 @ SY223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(659,plain,
! [SV143: $i] :
( ( ! [SY225: $i,SY226: $i] :
( ~ ( distinct_points @ SV143 @ SY225 )
| ~ ( left_apart_point @ SV143 @ SY226 )
| ( left_apart_point @ SY225 @ SY226 )
| ( left_convergent_lines @ ( line_connecting @ SV143 @ SY225 ) @ SY226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(660,plain,
! [SV144: $i] :
( ( ! [SY227: $i,SY228: $i] :
( ~ ( left_apart_point @ SV144 @ SY228 )
| ( distinct_points @ SV144 @ SY227 )
| ( left_apart_point @ SY227 @ SY228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(661,plain,
! [SV145: $i] :
( ( ! [SY229: $i,SY230: $i] :
( ~ ( left_apart_point @ SV145 @ SY229 )
| ~ ( unequally_directed_lines @ SY229 @ SY230 )
| ( distinct_lines @ SY229 @ SY230 )
| ( left_apart_point @ SV145 @ ( reverse_line @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(662,plain,
! [SV146: $i] :
( ( ! [SY231: $i] :
( ~ ( left_convergent_lines @ SV146 @ SY231 )
| ! [SY232: $i] :
( ( left_convergent_lines @ SV146 @ SY232 )
| ( unequally_directed_lines @ SY231 @ SY232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(663,plain,
( ( left_convergent_lines @ ( line_connecting @ sK1_A @ sK2_SY74 ) @ sK3_SY76 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(664,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( apart_point_and_line @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(665,plain,
! [SV147: $i] :
( ( ~ ( ~ ! [SY233: $i,SY234: $i] :
( ~ ( distinct_points @ SY233 @ SY234 )
| ( left_apart_point @ SY233 @ SV147 )
| ( left_apart_point @ SY233 @ ( reverse_line @ SV147 ) )
| ( left_apart_point @ SY234 @ SV147 )
| ( left_apart_point @ SY234 @ ( reverse_line @ SV147 ) )
| ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY233 @ SY234 ) )
| ( before_on_line @ SV147 @ SY233 @ SY234 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ~ ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ! [SY245: $i,SY246: $i] :
( ~ ( before_on_line @ SV147 @ SY245 @ SY246 )
| ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY245 @ SY246 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(666,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ SX1 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(667,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX0 @ ( line_connecting @ SX0 @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX1 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(668,plain,
! [SV148: $i] :
( ( ! [SY247: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SY248: $i,SY249: $i] :
( ~ ( between_on_line @ SV148 @ SY247 @ SY248 @ SY249 )
| ( before_on_line @ SV148 @ SY247 @ SY248 )
| ( before_on_line @ SV148 @ SY249 @ SY248 ) )
| ~ ! [SY250: $i] :
( ! [SY251: $i] :
~ ( between_on_line @ SV148 @ SY247 @ SY250 @ SY251 )
| ( before_on_line @ SV148 @ SY247 @ SY250 )
| ( before_on_line @ SV148 @ SY250 @ SY247 ) ) )
| ~ ~ ( ~ ! [SY252: $i,SY253: $i] :
( ~ ( between_on_line @ SV148 @ SY247 @ SY252 @ SY253 )
| ( before_on_line @ SV148 @ SY252 @ SY253 )
| ( before_on_line @ SV148 @ SY253 @ SY252 ) )
| ~ ! [SY254: $i,SY255: $i] :
( ~ ( between_on_line @ SV148 @ SY247 @ SY254 @ SY255 )
| ( before_on_line @ SV148 @ SY254 @ SY255 )
| ( before_on_line @ SV148 @ SY254 @ SY247 ) ) ) )
| ~ ~ ( ~ ! [SY256: $i,SY257: $i] :
( ~ ( before_on_line @ SV148 @ SY247 @ SY256 )
| ~ ( before_on_line @ SV148 @ SY256 @ SY257 )
| ( between_on_line @ SV148 @ SY247 @ SY256 @ SY257 ) )
| ~ ! [SY258: $i,SY259: $i] :
( ~ ( before_on_line @ SV148 @ SY259 @ SY258 )
| ~ ( before_on_line @ SV148 @ SY258 @ SY247 )
| ( between_on_line @ SV148 @ SY247 @ SY258 @ SY259 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(669,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ( convergent_lines @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(670,plain,
! [SV149: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i,SY261: $i] :
( ~ ( divides_points @ SY261 @ SV149 @ SY260 )
| ( left_apart_point @ SV149 @ SY261 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY261 ) ) )
| ~ ! [SY262: $i,SY263: $i] :
( ~ ( divides_points @ SY263 @ SV149 @ SY262 )
| ( left_apart_point @ SV149 @ SY263 )
| ( left_apart_point @ SY262 @ SY263 ) ) )
| ~ ~ ( ~ ! [SY264: $i,SY265: $i] :
( ~ ( divides_points @ SY265 @ SV149 @ SY264 )
| ( left_apart_point @ SY264 @ ( reverse_line @ SY265 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY265 ) ) )
| ~ ! [SY266: $i,SY267: $i] :
( ~ ( divides_points @ SY267 @ SV149 @ SY266 )
| ( left_apart_point @ SY266 @ ( reverse_line @ SY267 ) )
| ( left_apart_point @ SY266 @ SY267 ) ) ) )
| ~ ~ ( ~ ! [SY268: $i,SY269: $i] :
( ~ ( left_apart_point @ SV149 @ SY269 )
| ~ ( left_apart_point @ SY268 @ ( reverse_line @ SY269 ) )
| ( divides_points @ SY269 @ SV149 @ SY268 ) )
| ~ ! [SY270: $i,SY271: $i] :
( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SY271 ) )
| ~ ( left_apart_point @ SY270 @ SY271 )
| ( divides_points @ SY271 @ SV149 @ SY270 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(671,plain,
! [SV150: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY272: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY272 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY272 ) )
| ! [SY273: $i] :
( ( unequally_directed_lines @ SV150 @ SY273 )
| ( unequally_directed_lines @ SY272 @ SY273 ) ) )
| ~ ! [SY274: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY274 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY274 ) )
| ! [SY275: $i] :
( ( unequally_directed_lines @ SV150 @ SY275 )
| ( unequally_directed_lines @ SY274 @ ( reverse_line @ SY275 ) ) ) ) )
| ~ ~ ( ~ ! [SY276: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY276 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY276 ) )
| ! [SY277: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY277 ) )
| ( unequally_directed_lines @ SY276 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY278 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY278 ) )
| ! [SY279: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY279 ) )
| ( unequally_directed_lines @ SY278 @ ( reverse_line @ SY279 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(672,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ SX1 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ ( reverse_line @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(673,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(674,plain,
! [SV126: $i] :
( ( distinct_points @ SV126 @ SV126 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(675,plain,
! [SV151: $i,SV127: $i] :
( ( ~ ( distinct_points @ SV127 @ SV151 )
| ! [SY280: $i] :
( ( distinct_points @ SV127 @ SY280 )
| ( distinct_points @ SV151 @ SY280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(676,plain,
! [SV128: $i] :
( ( distinct_lines @ SV128 @ SV128 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(677,plain,
! [SV152: $i,SV129: $i] :
( ( ~ ( distinct_lines @ SV129 @ SV152 )
| ! [SY281: $i] :
( ( distinct_lines @ SV129 @ SY281 )
| ( distinct_lines @ SV152 @ SY281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(678,plain,
! [SV130: $i] :
( ( unequally_directed_lines @ SV130 @ SV130 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(679,plain,
! [SV153: $i,SV131: $i] :
( ( ~ ( unequally_directed_lines @ SV131 @ SV153 )
| ! [SY282: $i] :
( ( unequally_directed_lines @ SV131 @ SY282 )
| ( unequally_directed_lines @ SV153 @ SY282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(680,plain,
! [SV154: $i,SV132: $i] :
( ( ~ ( line @ SV132 )
| ~ ( line @ SV154 )
| ( unequally_directed_lines @ SV132 @ SV154 )
| ( unequally_directed_lines @ SV132 @ ( reverse_line @ SV154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(681,plain,
! [SV155: $i,SV133: $i] :
( ( ~ ( unequally_directed_lines @ SV133 @ SV155 )
| ~ ( unequally_directed_lines @ SV133 @ ( reverse_line @ SV155 ) )
| ( left_convergent_lines @ SV133 @ SV155 )
| ( left_convergent_lines @ SV133 @ ( reverse_line @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(682,plain,
! [SV156: $i,SV134: $i] :
( ( ~ ( point @ SV134 )
| ~ ( point @ SV156 )
| ~ ( distinct_points @ SV134 @ SV156 )
| ( line @ ( line_connecting @ SV134 @ SV156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(683,plain,
! [SV157: $i,SV135: $i] :
( ( ~ ( line @ SV135 )
| ~ ( line @ SV157 )
| ~ ( unequally_directed_lines @ SV135 @ SV157 )
| ~ ( unequally_directed_lines @ SV135 @ ( reverse_line @ SV157 ) )
| ( point @ ( intersection_point @ SV135 @ SV157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(684,plain,
! [SV158: $i,SV136: $i] :
( ( ~ ( line @ SV136 )
| ~ ( point @ SV158 )
| ( line @ ( parallel_through_point @ SV136 @ SV158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(685,plain,
! [SV137: $i] :
( ( ( ~ ( line @ SV137 ) )
= $true )
| ( ( line @ ( reverse_line @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(686,plain,
! [SV159: $i,SV138: $i] :
( ( ~ ( apart_point_and_line @ SV138 @ ( parallel_through_point @ SV159 @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(687,plain,
! [SV139: $i] :
( ( distinct_lines @ SV139 @ ( reverse_line @ SV139 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(688,plain,
! [SV160: $i,SV140: $i] :
( ( ~ ( unequally_directed_lines @ ( line_connecting @ SV140 @ SV160 ) @ ( reverse_line @ ( line_connecting @ SV160 @ SV140 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(689,plain,
! [SV141: $i,SV161: $i] :
( ( ~ ( unequally_directed_lines @ ( parallel_through_point @ SV161 @ SV141 ) @ SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(690,plain,
! [SV162: $i,SV142: $i] :
( ( ! [SY283: $i,SY284: $i] :
( ~ ( distinct_lines @ SY283 @ SY284 )
| ~ ( distinct_points @ SV142 @ SV162 )
| ( left_apart_point @ SV162 @ ( reverse_line @ SY284 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SY284 ) )
| ( left_apart_point @ SV162 @ ( reverse_line @ SY283 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SY283 ) )
| ( left_apart_point @ SV162 @ SY284 )
| ( left_apart_point @ SV142 @ SY284 )
| ( left_apart_point @ SV142 @ SY283 )
| ( left_apart_point @ SV162 @ SY283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(691,plain,
! [SV163: $i,SV143: $i] :
( ( ! [SY285: $i] :
( ~ ( distinct_points @ SV143 @ SV163 )
| ~ ( left_apart_point @ SV143 @ SY285 )
| ( left_apart_point @ SV163 @ SY285 )
| ( left_convergent_lines @ ( line_connecting @ SV143 @ SV163 ) @ SY285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(692,plain,
! [SV164: $i,SV144: $i] :
( ( ! [SY286: $i] :
( ~ ( left_apart_point @ SV144 @ SY286 )
| ( distinct_points @ SV144 @ SV164 )
| ( left_apart_point @ SV164 @ SY286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(693,plain,
! [SV165: $i,SV145: $i] :
( ( ! [SY287: $i] :
( ~ ( left_apart_point @ SV145 @ SV165 )
| ~ ( unequally_directed_lines @ SV165 @ SY287 )
| ( distinct_lines @ SV165 @ SY287 )
| ( left_apart_point @ SV145 @ ( reverse_line @ SY287 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(694,plain,
! [SV166: $i,SV146: $i] :
( ( ~ ( left_convergent_lines @ SV146 @ SV166 )
| ! [SY288: $i] :
( ( left_convergent_lines @ SV146 @ SY288 )
| ( unequally_directed_lines @ SV166 @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(695,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( apart_point_and_line @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(696,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[664]) ).
thf(697,plain,
! [SV147: $i] :
( ( ~ ! [SY233: $i,SY234: $i] :
( ~ ( distinct_points @ SY233 @ SY234 )
| ( left_apart_point @ SY233 @ SV147 )
| ( left_apart_point @ SY233 @ ( reverse_line @ SV147 ) )
| ( left_apart_point @ SY234 @ SV147 )
| ( left_apart_point @ SY234 @ ( reverse_line @ SV147 ) )
| ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY233 @ SY234 ) )
| ( before_on_line @ SV147 @ SY233 @ SY234 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ~ ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ! [SY245: $i,SY246: $i] :
( ~ ( before_on_line @ SV147 @ SY245 @ SY246 )
| ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY245 @ SY246 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(698,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(699,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(700,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX0 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(701,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX1 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(702,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY289: $i,SY290: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY289 @ SY290 )
| ( before_on_line @ SV148 @ SV167 @ SY289 )
| ( before_on_line @ SV148 @ SY290 @ SY289 ) )
| ~ ! [SY291: $i] :
( ! [SY292: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SY291 @ SY292 )
| ( before_on_line @ SV148 @ SV167 @ SY291 )
| ( before_on_line @ SV148 @ SY291 @ SV167 ) ) )
| ~ ~ ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY294 @ SY293 ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SV167 ) ) ) )
| ~ ~ ( ~ ! [SY297: $i,SY298: $i] :
( ~ ( before_on_line @ SV148 @ SV167 @ SY297 )
| ~ ( before_on_line @ SV148 @ SY297 @ SY298 )
| ( between_on_line @ SV148 @ SV167 @ SY297 @ SY298 ) )
| ~ ! [SY299: $i,SY300: $i] :
( ~ ( before_on_line @ SV148 @ SY300 @ SY299 )
| ~ ( before_on_line @ SV148 @ SY299 @ SV167 )
| ( between_on_line @ SV148 @ SV167 @ SY299 @ SY300 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(703,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ( convergent_lines @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(704,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(705,plain,
! [SV149: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i,SY261: $i] :
( ~ ( divides_points @ SY261 @ SV149 @ SY260 )
| ( left_apart_point @ SV149 @ SY261 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY261 ) ) )
| ~ ! [SY262: $i,SY263: $i] :
( ~ ( divides_points @ SY263 @ SV149 @ SY262 )
| ( left_apart_point @ SV149 @ SY263 )
| ( left_apart_point @ SY262 @ SY263 ) ) )
| ~ ~ ( ~ ! [SY264: $i,SY265: $i] :
( ~ ( divides_points @ SY265 @ SV149 @ SY264 )
| ( left_apart_point @ SY264 @ ( reverse_line @ SY265 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY265 ) ) )
| ~ ! [SY266: $i,SY267: $i] :
( ~ ( divides_points @ SY267 @ SV149 @ SY266 )
| ( left_apart_point @ SY266 @ ( reverse_line @ SY267 ) )
| ( left_apart_point @ SY266 @ SY267 ) ) ) )
| ~ ~ ( ~ ! [SY268: $i,SY269: $i] :
( ~ ( left_apart_point @ SV149 @ SY269 )
| ~ ( left_apart_point @ SY268 @ ( reverse_line @ SY269 ) )
| ( divides_points @ SY269 @ SV149 @ SY268 ) )
| ~ ! [SY270: $i,SY271: $i] :
( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SY271 ) )
| ~ ( left_apart_point @ SY270 @ SY271 )
| ( divides_points @ SY271 @ SV149 @ SY270 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(706,plain,
! [SV150: $i] :
( ( ~ ~ ( ~ ! [SY272: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY272 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY272 ) )
| ! [SY273: $i] :
( ( unequally_directed_lines @ SV150 @ SY273 )
| ( unequally_directed_lines @ SY272 @ SY273 ) ) )
| ~ ! [SY274: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY274 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY274 ) )
| ! [SY275: $i] :
( ( unequally_directed_lines @ SV150 @ SY275 )
| ( unequally_directed_lines @ SY274 @ ( reverse_line @ SY275 ) ) ) ) )
| ~ ~ ( ~ ! [SY276: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY276 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY276 ) )
| ! [SY277: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY277 ) )
| ( unequally_directed_lines @ SY276 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY278 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY278 ) )
| ! [SY279: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY279 ) )
| ( unequally_directed_lines @ SY278 @ ( reverse_line @ SY279 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(707,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(708,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ ( reverse_line @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(709,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(710,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[673]) ).
thf(711,plain,
! [SV151: $i,SV127: $i] :
( ( ( ~ ( distinct_points @ SV127 @ SV151 ) )
= $true )
| ( ( ! [SY280: $i] :
( ( distinct_points @ SV127 @ SY280 )
| ( distinct_points @ SV151 @ SY280 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(712,plain,
! [SV152: $i,SV129: $i] :
( ( ( ~ ( distinct_lines @ SV129 @ SV152 ) )
= $true )
| ( ( ! [SY281: $i] :
( ( distinct_lines @ SV129 @ SY281 )
| ( distinct_lines @ SV152 @ SY281 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(713,plain,
! [SV153: $i,SV131: $i] :
( ( ( ~ ( unequally_directed_lines @ SV131 @ SV153 ) )
= $true )
| ( ( ! [SY282: $i] :
( ( unequally_directed_lines @ SV131 @ SY282 )
| ( unequally_directed_lines @ SV153 @ SY282 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(714,plain,
! [SV154: $i,SV132: $i] :
( ( ( ~ ( line @ SV132 )
| ~ ( line @ SV154 ) )
= $true )
| ( ( ( unequally_directed_lines @ SV132 @ SV154 )
| ( unequally_directed_lines @ SV132 @ ( reverse_line @ SV154 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(715,plain,
! [SV155: $i,SV133: $i] :
( ( ( ~ ( unequally_directed_lines @ SV133 @ SV155 )
| ~ ( unequally_directed_lines @ SV133 @ ( reverse_line @ SV155 ) ) )
= $true )
| ( ( ( left_convergent_lines @ SV133 @ SV155 )
| ( left_convergent_lines @ SV133 @ ( reverse_line @ SV155 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(716,plain,
! [SV156: $i,SV134: $i] :
( ( ( ~ ( point @ SV134 )
| ~ ( point @ SV156 )
| ~ ( distinct_points @ SV134 @ SV156 ) )
= $true )
| ( ( line @ ( line_connecting @ SV134 @ SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(717,plain,
! [SV157: $i,SV135: $i] :
( ( ( ~ ( line @ SV135 )
| ~ ( line @ SV157 )
| ~ ( unequally_directed_lines @ SV135 @ SV157 )
| ~ ( unequally_directed_lines @ SV135 @ ( reverse_line @ SV157 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV135 @ SV157 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(718,plain,
! [SV158: $i,SV136: $i] :
( ( ( ~ ( line @ SV136 )
| ~ ( point @ SV158 ) )
= $true )
| ( ( line @ ( parallel_through_point @ SV136 @ SV158 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(719,plain,
! [SV137: $i] :
( ( ( line @ SV137 )
= $false )
| ( ( line @ ( reverse_line @ SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(720,plain,
! [SV159: $i,SV138: $i] :
( ( apart_point_and_line @ SV138 @ ( parallel_through_point @ SV159 @ SV138 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(721,plain,
! [SV160: $i,SV140: $i] :
( ( unequally_directed_lines @ ( line_connecting @ SV140 @ SV160 ) @ ( reverse_line @ ( line_connecting @ SV160 @ SV140 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(722,plain,
! [SV141: $i,SV161: $i] :
( ( unequally_directed_lines @ ( parallel_through_point @ SV161 @ SV141 ) @ SV161 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(723,plain,
! [SV162: $i,SV142: $i,SV168: $i] :
( ( ! [SY301: $i] :
( ~ ( distinct_lines @ SV168 @ SY301 )
| ~ ( distinct_points @ SV142 @ SV162 )
| ( left_apart_point @ SV162 @ ( reverse_line @ SY301 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SY301 ) )
| ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV162 @ SY301 )
| ( left_apart_point @ SV142 @ SY301 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(724,plain,
! [SV169: $i,SV163: $i,SV143: $i] :
( ( ~ ( distinct_points @ SV143 @ SV163 )
| ~ ( left_apart_point @ SV143 @ SV169 )
| ( left_apart_point @ SV163 @ SV169 )
| ( left_convergent_lines @ ( line_connecting @ SV143 @ SV163 ) @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(725,plain,
! [SV164: $i,SV170: $i,SV144: $i] :
( ( ~ ( left_apart_point @ SV144 @ SV170 )
| ( distinct_points @ SV144 @ SV164 )
| ( left_apart_point @ SV164 @ SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(726,plain,
! [SV171: $i,SV165: $i,SV145: $i] :
( ( ~ ( left_apart_point @ SV145 @ SV165 )
| ~ ( unequally_directed_lines @ SV165 @ SV171 )
| ( distinct_lines @ SV165 @ SV171 )
| ( left_apart_point @ SV145 @ ( reverse_line @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(727,plain,
! [SV166: $i,SV146: $i] :
( ( ( ~ ( left_convergent_lines @ SV146 @ SV166 ) )
= $true )
| ( ( ! [SY288: $i] :
( ( left_convergent_lines @ SV146 @ SY288 )
| ( unequally_directed_lines @ SV166 @ SY288 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(728,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( apart_point_and_line @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ SX1 )
| ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(729,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(730,plain,
! [SV147: $i] :
( ( ~ ! [SY233: $i,SY234: $i] :
( ~ ( distinct_points @ SY233 @ SY234 )
| ( left_apart_point @ SY233 @ SV147 )
| ( left_apart_point @ SY233 @ ( reverse_line @ SV147 ) )
| ( left_apart_point @ SY234 @ SV147 )
| ( left_apart_point @ SY234 @ ( reverse_line @ SV147 ) )
| ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY233 @ SY234 ) )
| ( before_on_line @ SV147 @ SY233 @ SY234 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(731,plain,
! [SV147: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ~ ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ! [SY245: $i,SY246: $i] :
( ~ ( before_on_line @ SV147 @ SY245 @ SY246 )
| ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY245 @ SY246 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[697]) ).
thf(732,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[698]) ).
thf(733,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(734,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX0 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(735,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( distinct_points @ SX0 @ SX1 )
| ~ ( apart_point_and_line @ SX1 @ ( line_connecting @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(736,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY289: $i,SY290: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY289 @ SY290 )
| ( before_on_line @ SV148 @ SV167 @ SY289 )
| ( before_on_line @ SV148 @ SY290 @ SY289 ) )
| ~ ! [SY291: $i] :
( ! [SY292: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SY291 @ SY292 )
| ( before_on_line @ SV148 @ SV167 @ SY291 )
| ( before_on_line @ SV148 @ SY291 @ SV167 ) ) )
| ~ ~ ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY294 @ SY293 ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SV167 ) ) ) )
| ~ ~ ( ~ ! [SY297: $i,SY298: $i] :
( ~ ( before_on_line @ SV148 @ SV167 @ SY297 )
| ~ ( before_on_line @ SV148 @ SY297 @ SY298 )
| ( between_on_line @ SV148 @ SV167 @ SY297 @ SY298 ) )
| ~ ! [SY299: $i,SY300: $i] :
( ~ ( before_on_line @ SV148 @ SY300 @ SY299 )
| ~ ( before_on_line @ SV148 @ SY299 @ SV167 )
| ( between_on_line @ SV148 @ SV167 @ SY299 @ SY300 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(737,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ( convergent_lines @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(738,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(739,plain,
! [SV149: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY260: $i,SY261: $i] :
( ~ ( divides_points @ SY261 @ SV149 @ SY260 )
| ( left_apart_point @ SV149 @ SY261 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY261 ) ) )
| ~ ! [SY262: $i,SY263: $i] :
( ~ ( divides_points @ SY263 @ SV149 @ SY262 )
| ( left_apart_point @ SV149 @ SY263 )
| ( left_apart_point @ SY262 @ SY263 ) ) )
| ~ ~ ( ~ ! [SY264: $i,SY265: $i] :
( ~ ( divides_points @ SY265 @ SV149 @ SY264 )
| ( left_apart_point @ SY264 @ ( reverse_line @ SY265 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY265 ) ) )
| ~ ! [SY266: $i,SY267: $i] :
( ~ ( divides_points @ SY267 @ SV149 @ SY266 )
| ( left_apart_point @ SY266 @ ( reverse_line @ SY267 ) )
| ( left_apart_point @ SY266 @ SY267 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(740,plain,
! [SV149: $i] :
( ( ~ ~ ( ~ ! [SY268: $i,SY269: $i] :
( ~ ( left_apart_point @ SV149 @ SY269 )
| ~ ( left_apart_point @ SY268 @ ( reverse_line @ SY269 ) )
| ( divides_points @ SY269 @ SV149 @ SY268 ) )
| ~ ! [SY270: $i,SY271: $i] :
( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SY271 ) )
| ~ ( left_apart_point @ SY270 @ SY271 )
| ( divides_points @ SY271 @ SV149 @ SY270 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(741,plain,
! [SV150: $i] :
( ( ~ ~ ( ~ ! [SY272: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY272 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY272 ) )
| ! [SY273: $i] :
( ( unequally_directed_lines @ SV150 @ SY273 )
| ( unequally_directed_lines @ SY272 @ SY273 ) ) )
| ~ ! [SY274: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY274 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY274 ) )
| ! [SY275: $i] :
( ( unequally_directed_lines @ SV150 @ SY275 )
| ( unequally_directed_lines @ SY274 @ ( reverse_line @ SY275 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(742,plain,
! [SV150: $i] :
( ( ~ ~ ( ~ ! [SY276: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY276 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY276 ) )
| ! [SY277: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY277 ) )
| ( unequally_directed_lines @ SY276 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY278 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY278 ) )
| ! [SY279: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY279 ) )
| ( unequally_directed_lines @ SY278 @ ( reverse_line @ SY279 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[706]) ).
thf(743,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(744,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( left_convergent_lines @ SX0 @ ( reverse_line @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(745,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(746,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( unequally_directed_lines @ SX0 @ SX1 )
| ~ ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SX0 @ SX1 ) @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(747,plain,
! [SV151: $i,SV127: $i] :
( ( ( distinct_points @ SV127 @ SV151 )
= $false )
| ( ( ! [SY280: $i] :
( ( distinct_points @ SV127 @ SY280 )
| ( distinct_points @ SV151 @ SY280 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(748,plain,
! [SV152: $i,SV129: $i] :
( ( ( distinct_lines @ SV129 @ SV152 )
= $false )
| ( ( ! [SY281: $i] :
( ( distinct_lines @ SV129 @ SY281 )
| ( distinct_lines @ SV152 @ SY281 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(749,plain,
! [SV153: $i,SV131: $i] :
( ( ( unequally_directed_lines @ SV131 @ SV153 )
= $false )
| ( ( ! [SY282: $i] :
( ( unequally_directed_lines @ SV131 @ SY282 )
| ( unequally_directed_lines @ SV153 @ SY282 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(750,plain,
! [SV154: $i,SV132: $i] :
( ( ( ~ ( line @ SV132 ) )
= $true )
| ( ( ~ ( line @ SV154 ) )
= $true )
| ( ( ( unequally_directed_lines @ SV132 @ SV154 )
| ( unequally_directed_lines @ SV132 @ ( reverse_line @ SV154 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(751,plain,
! [SV155: $i,SV133: $i] :
( ( ( ~ ( unequally_directed_lines @ SV133 @ SV155 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV133 @ ( reverse_line @ SV155 ) ) )
= $true )
| ( ( ( left_convergent_lines @ SV133 @ SV155 )
| ( left_convergent_lines @ SV133 @ ( reverse_line @ SV155 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(752,plain,
! [SV156: $i,SV134: $i] :
( ( ( ~ ( point @ SV134 )
| ~ ( point @ SV156 ) )
= $true )
| ( ( ~ ( distinct_points @ SV134 @ SV156 ) )
= $true )
| ( ( line @ ( line_connecting @ SV134 @ SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(753,plain,
! [SV157: $i,SV135: $i] :
( ( ( ~ ( line @ SV135 )
| ~ ( line @ SV157 )
| ~ ( unequally_directed_lines @ SV135 @ SV157 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV135 @ ( reverse_line @ SV157 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV135 @ SV157 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(754,plain,
! [SV158: $i,SV136: $i] :
( ( ( ~ ( line @ SV136 ) )
= $true )
| ( ( ~ ( point @ SV158 ) )
= $true )
| ( ( line @ ( parallel_through_point @ SV136 @ SV158 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(755,plain,
! [SV162: $i,SV142: $i,SV172: $i,SV168: $i] :
( ( ~ ( distinct_lines @ SV168 @ SV172 )
| ~ ( distinct_points @ SV142 @ SV162 )
| ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV162 @ SV172 )
| ( left_apart_point @ SV142 @ SV172 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(756,plain,
! [SV169: $i,SV163: $i,SV143: $i] :
( ( ( ~ ( distinct_points @ SV143 @ SV163 )
| ~ ( left_apart_point @ SV143 @ SV169 ) )
= $true )
| ( ( ( left_apart_point @ SV163 @ SV169 )
| ( left_convergent_lines @ ( line_connecting @ SV143 @ SV163 ) @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(757,plain,
! [SV164: $i,SV170: $i,SV144: $i] :
( ( ( ~ ( left_apart_point @ SV144 @ SV170 ) )
= $true )
| ( ( ( distinct_points @ SV144 @ SV164 )
| ( left_apart_point @ SV164 @ SV170 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(758,plain,
! [SV171: $i,SV165: $i,SV145: $i] :
( ( ( ~ ( left_apart_point @ SV145 @ SV165 )
| ~ ( unequally_directed_lines @ SV165 @ SV171 ) )
= $true )
| ( ( ( distinct_lines @ SV165 @ SV171 )
| ( left_apart_point @ SV145 @ ( reverse_line @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(759,plain,
! [SV166: $i,SV146: $i] :
( ( ( left_convergent_lines @ SV146 @ SV166 )
= $false )
| ( ( ! [SY288: $i] :
( ( left_convergent_lines @ SV146 @ SY288 )
| ( unequally_directed_lines @ SV166 @ SY288 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(760,plain,
! [SV173: $i] :
( ( ! [SY302: $i] :
( ~ ( apart_point_and_line @ SV173 @ SY302 )
| ( left_apart_point @ SV173 @ SY302 )
| ( left_apart_point @ SV173 @ ( reverse_line @ SY302 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(761,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(762,plain,
! [SV147: $i] :
( ( ! [SY233: $i,SY234: $i] :
( ~ ( distinct_points @ SY233 @ SY234 )
| ( left_apart_point @ SY233 @ SV147 )
| ( left_apart_point @ SY233 @ ( reverse_line @ SV147 ) )
| ( left_apart_point @ SY234 @ SV147 )
| ( left_apart_point @ SY234 @ ( reverse_line @ SV147 ) )
| ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY233 @ SY234 ) )
| ( before_on_line @ SV147 @ SY233 @ SY234 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(763,plain,
! [SV147: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ~ ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ! [SY245: $i,SY246: $i] :
( ~ ( before_on_line @ SV147 @ SY245 @ SY246 )
| ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY245 @ SY246 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(764,plain,
! [SV174: $i] :
( ( ! [SY303: $i] :
~ ( left_apart_point @ SV174 @ SY303 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(765,plain,
! [SV175: $i] :
( ( ! [SY304: $i] :
~ ( left_apart_point @ SV175 @ ( reverse_line @ SY304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(766,plain,
! [SV176: $i] :
( ( ! [SY305: $i] :
( ~ ( distinct_points @ SV176 @ SY305 )
| ~ ( apart_point_and_line @ SV176 @ ( line_connecting @ SV176 @ SY305 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(767,plain,
! [SV177: $i] :
( ( ! [SY306: $i] :
( ~ ( distinct_points @ SV177 @ SY306 )
| ~ ( apart_point_and_line @ SY306 @ ( line_connecting @ SV177 @ SY306 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(768,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY289: $i,SY290: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY289 @ SY290 )
| ( before_on_line @ SV148 @ SV167 @ SY289 )
| ( before_on_line @ SV148 @ SY290 @ SY289 ) )
| ~ ! [SY291: $i] :
( ! [SY292: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SY291 @ SY292 )
| ( before_on_line @ SV148 @ SV167 @ SY291 )
| ( before_on_line @ SV148 @ SY291 @ SV167 ) ) )
| ~ ~ ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY294 @ SY293 ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SV167 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(769,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ~ ( ~ ! [SY297: $i,SY298: $i] :
( ~ ( before_on_line @ SV148 @ SV167 @ SY297 )
| ~ ( before_on_line @ SV148 @ SY297 @ SY298 )
| ( between_on_line @ SV148 @ SV167 @ SY297 @ SY298 ) )
| ~ ! [SY299: $i,SY300: $i] :
( ~ ( before_on_line @ SV148 @ SY300 @ SY299 )
| ~ ( before_on_line @ SV148 @ SY299 @ SV167 )
| ( between_on_line @ SV148 @ SV167 @ SY299 @ SY300 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(770,plain,
! [SV178: $i] :
( ( ! [SY307: $i] :
( ~ ( unequally_directed_lines @ SV178 @ SY307 )
| ~ ( unequally_directed_lines @ SV178 @ ( reverse_line @ SY307 ) )
| ( convergent_lines @ SV178 @ SY307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(771,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(772,plain,
! [SV149: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY260: $i,SY261: $i] :
( ~ ( divides_points @ SY261 @ SV149 @ SY260 )
| ( left_apart_point @ SV149 @ SY261 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY261 ) ) )
| ~ ! [SY262: $i,SY263: $i] :
( ~ ( divides_points @ SY263 @ SV149 @ SY262 )
| ( left_apart_point @ SV149 @ SY263 )
| ( left_apart_point @ SY262 @ SY263 ) ) )
| ~ ~ ( ~ ! [SY264: $i,SY265: $i] :
( ~ ( divides_points @ SY265 @ SV149 @ SY264 )
| ( left_apart_point @ SY264 @ ( reverse_line @ SY265 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY265 ) ) )
| ~ ! [SY266: $i,SY267: $i] :
( ~ ( divides_points @ SY267 @ SV149 @ SY266 )
| ( left_apart_point @ SY266 @ ( reverse_line @ SY267 ) )
| ( left_apart_point @ SY266 @ SY267 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(773,plain,
! [SV149: $i] :
( ( ~ ( ~ ! [SY268: $i,SY269: $i] :
( ~ ( left_apart_point @ SV149 @ SY269 )
| ~ ( left_apart_point @ SY268 @ ( reverse_line @ SY269 ) )
| ( divides_points @ SY269 @ SV149 @ SY268 ) )
| ~ ! [SY270: $i,SY271: $i] :
( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SY271 ) )
| ~ ( left_apart_point @ SY270 @ SY271 )
| ( divides_points @ SY271 @ SV149 @ SY270 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(774,plain,
! [SV150: $i] :
( ( ~ ( ~ ! [SY272: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY272 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY272 ) )
| ! [SY273: $i] :
( ( unequally_directed_lines @ SV150 @ SY273 )
| ( unequally_directed_lines @ SY272 @ SY273 ) ) )
| ~ ! [SY274: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY274 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY274 ) )
| ! [SY275: $i] :
( ( unequally_directed_lines @ SV150 @ SY275 )
| ( unequally_directed_lines @ SY274 @ ( reverse_line @ SY275 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(775,plain,
! [SV150: $i] :
( ( ~ ( ~ ! [SY276: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY276 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY276 ) )
| ! [SY277: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY277 ) )
| ( unequally_directed_lines @ SY276 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY278 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY278 ) )
| ! [SY279: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY279 ) )
| ( unequally_directed_lines @ SY278 @ ( reverse_line @ SY279 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(776,plain,
! [SV179: $i] :
( ( ! [SY308: $i] :
~ ( left_convergent_lines @ SV179 @ SY308 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(777,plain,
! [SV180: $i] :
( ( ! [SY309: $i] :
~ ( left_convergent_lines @ SV180 @ ( reverse_line @ SY309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(778,plain,
! [SV181: $i] :
( ( ! [SY310: $i] :
( ~ ( unequally_directed_lines @ SV181 @ SY310 )
| ~ ( unequally_directed_lines @ SV181 @ ( reverse_line @ SY310 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SV181 @ SY310 ) @ SV181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(779,plain,
! [SV182: $i] :
( ( ! [SY311: $i] :
( ~ ( unequally_directed_lines @ SV182 @ SY311 )
| ~ ( unequally_directed_lines @ SV182 @ ( reverse_line @ SY311 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SV182 @ SY311 ) @ SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(780,plain,
! [SV151: $i,SV183: $i,SV127: $i] :
( ( ( ( distinct_points @ SV127 @ SV183 )
| ( distinct_points @ SV151 @ SV183 ) )
= $true )
| ( ( distinct_points @ SV127 @ SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(781,plain,
! [SV152: $i,SV184: $i,SV129: $i] :
( ( ( ( distinct_lines @ SV129 @ SV184 )
| ( distinct_lines @ SV152 @ SV184 ) )
= $true )
| ( ( distinct_lines @ SV129 @ SV152 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(782,plain,
! [SV153: $i,SV185: $i,SV131: $i] :
( ( ( ( unequally_directed_lines @ SV131 @ SV185 )
| ( unequally_directed_lines @ SV153 @ SV185 ) )
= $true )
| ( ( unequally_directed_lines @ SV131 @ SV153 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(783,plain,
! [SV154: $i,SV132: $i] :
( ( ( line @ SV132 )
= $false )
| ( ( ~ ( line @ SV154 ) )
= $true )
| ( ( ( unequally_directed_lines @ SV132 @ SV154 )
| ( unequally_directed_lines @ SV132 @ ( reverse_line @ SV154 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(784,plain,
! [SV155: $i,SV133: $i] :
( ( ( unequally_directed_lines @ SV133 @ SV155 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV133 @ ( reverse_line @ SV155 ) ) )
= $true )
| ( ( ( left_convergent_lines @ SV133 @ SV155 )
| ( left_convergent_lines @ SV133 @ ( reverse_line @ SV155 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(785,plain,
! [SV156: $i,SV134: $i] :
( ( ( ~ ( point @ SV134 ) )
= $true )
| ( ( ~ ( point @ SV156 ) )
= $true )
| ( ( ~ ( distinct_points @ SV134 @ SV156 ) )
= $true )
| ( ( line @ ( line_connecting @ SV134 @ SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(786,plain,
! [SV157: $i,SV135: $i] :
( ( ( ~ ( line @ SV135 )
| ~ ( line @ SV157 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV135 @ SV157 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV135 @ ( reverse_line @ SV157 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV135 @ SV157 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(787,plain,
! [SV158: $i,SV136: $i] :
( ( ( line @ SV136 )
= $false )
| ( ( ~ ( point @ SV158 ) )
= $true )
| ( ( line @ ( parallel_through_point @ SV136 @ SV158 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(788,plain,
! [SV162: $i,SV142: $i,SV172: $i,SV168: $i] :
( ( ( ~ ( distinct_lines @ SV168 @ SV172 )
| ~ ( distinct_points @ SV142 @ SV162 ) )
= $true )
| ( ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV162 @ SV172 )
| ( left_apart_point @ SV142 @ SV172 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(789,plain,
! [SV169: $i,SV163: $i,SV143: $i] :
( ( ( ~ ( distinct_points @ SV143 @ SV163 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV143 @ SV169 ) )
= $true )
| ( ( ( left_apart_point @ SV163 @ SV169 )
| ( left_convergent_lines @ ( line_connecting @ SV143 @ SV163 ) @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(790,plain,
! [SV164: $i,SV170: $i,SV144: $i] :
( ( ( left_apart_point @ SV144 @ SV170 )
= $false )
| ( ( ( distinct_points @ SV144 @ SV164 )
| ( left_apart_point @ SV164 @ SV170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(791,plain,
! [SV171: $i,SV165: $i,SV145: $i] :
( ( ( ~ ( left_apart_point @ SV145 @ SV165 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV165 @ SV171 ) )
= $true )
| ( ( ( distinct_lines @ SV165 @ SV171 )
| ( left_apart_point @ SV145 @ ( reverse_line @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(792,plain,
! [SV166: $i,SV186: $i,SV146: $i] :
( ( ( ( left_convergent_lines @ SV146 @ SV186 )
| ( unequally_directed_lines @ SV166 @ SV186 ) )
= $true )
| ( ( left_convergent_lines @ SV146 @ SV166 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(793,plain,
! [SV187: $i,SV173: $i] :
( ( ~ ( apart_point_and_line @ SV173 @ SV187 )
| ( left_apart_point @ SV173 @ SV187 )
| ( left_apart_point @ SV173 @ ( reverse_line @ SV187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(794,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(795,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(796,plain,
! [SV147: $i,SV188: $i] :
( ( ! [SY312: $i] :
( ~ ( distinct_points @ SV188 @ SY312 )
| ( left_apart_point @ SV188 @ SV147 )
| ( left_apart_point @ SV188 @ ( reverse_line @ SV147 ) )
| ( left_apart_point @ SY312 @ SV147 )
| ( left_apart_point @ SY312 @ ( reverse_line @ SV147 ) )
| ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV188 @ SY312 ) )
| ( before_on_line @ SV147 @ SV188 @ SY312 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(797,plain,
! [SV147: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ~ ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ! [SY245: $i,SY246: $i] :
( ~ ( before_on_line @ SV147 @ SY245 @ SY246 )
| ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY245 @ SY246 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(798,plain,
! [SV189: $i,SV174: $i] :
( ( ~ ( left_apart_point @ SV174 @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(799,plain,
! [SV190: $i,SV175: $i] :
( ( ~ ( left_apart_point @ SV175 @ ( reverse_line @ SV190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(800,plain,
! [SV191: $i,SV176: $i] :
( ( ~ ( distinct_points @ SV176 @ SV191 )
| ~ ( apart_point_and_line @ SV176 @ ( line_connecting @ SV176 @ SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(801,plain,
! [SV192: $i,SV177: $i] :
( ( ~ ( distinct_points @ SV177 @ SV192 )
| ~ ( apart_point_and_line @ SV192 @ ( line_connecting @ SV177 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(802,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY289: $i,SY290: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY289 @ SY290 )
| ( before_on_line @ SV148 @ SV167 @ SY289 )
| ( before_on_line @ SV148 @ SY290 @ SY289 ) )
| ~ ! [SY291: $i] :
( ! [SY292: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SY291 @ SY292 )
| ( before_on_line @ SV148 @ SV167 @ SY291 )
| ( before_on_line @ SV148 @ SY291 @ SV167 ) ) )
| ~ ~ ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY294 @ SY293 ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SV167 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(803,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ( ~ ! [SY297: $i,SY298: $i] :
( ~ ( before_on_line @ SV148 @ SV167 @ SY297 )
| ~ ( before_on_line @ SV148 @ SY297 @ SY298 )
| ( between_on_line @ SV148 @ SV167 @ SY297 @ SY298 ) )
| ~ ! [SY299: $i,SY300: $i] :
( ~ ( before_on_line @ SV148 @ SY300 @ SY299 )
| ~ ( before_on_line @ SV148 @ SY299 @ SV167 )
| ( between_on_line @ SV148 @ SV167 @ SY299 @ SY300 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(804,plain,
! [SV193: $i,SV178: $i] :
( ( ~ ( unequally_directed_lines @ SV178 @ SV193 )
| ~ ( unequally_directed_lines @ SV178 @ ( reverse_line @ SV193 ) )
| ( convergent_lines @ SV178 @ SV193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(805,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(806,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(807,plain,
! [SV149: $i] :
( ( ~ ~ ( ~ ! [SY260: $i,SY261: $i] :
( ~ ( divides_points @ SY261 @ SV149 @ SY260 )
| ( left_apart_point @ SV149 @ SY261 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY261 ) ) )
| ~ ! [SY262: $i,SY263: $i] :
( ~ ( divides_points @ SY263 @ SV149 @ SY262 )
| ( left_apart_point @ SV149 @ SY263 )
| ( left_apart_point @ SY262 @ SY263 ) ) )
| ~ ~ ( ~ ! [SY264: $i,SY265: $i] :
( ~ ( divides_points @ SY265 @ SV149 @ SY264 )
| ( left_apart_point @ SY264 @ ( reverse_line @ SY265 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY265 ) ) )
| ~ ! [SY266: $i,SY267: $i] :
( ~ ( divides_points @ SY267 @ SV149 @ SY266 )
| ( left_apart_point @ SY266 @ ( reverse_line @ SY267 ) )
| ( left_apart_point @ SY266 @ SY267 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(808,plain,
! [SV149: $i] :
( ( ~ ! [SY268: $i,SY269: $i] :
( ~ ( left_apart_point @ SV149 @ SY269 )
| ~ ( left_apart_point @ SY268 @ ( reverse_line @ SY269 ) )
| ( divides_points @ SY269 @ SV149 @ SY268 ) )
| ~ ! [SY270: $i,SY271: $i] :
( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SY271 ) )
| ~ ( left_apart_point @ SY270 @ SY271 )
| ( divides_points @ SY271 @ SV149 @ SY270 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(809,plain,
! [SV150: $i] :
( ( ~ ! [SY272: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY272 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY272 ) )
| ! [SY273: $i] :
( ( unequally_directed_lines @ SV150 @ SY273 )
| ( unequally_directed_lines @ SY272 @ SY273 ) ) )
| ~ ! [SY274: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY274 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY274 ) )
| ! [SY275: $i] :
( ( unequally_directed_lines @ SV150 @ SY275 )
| ( unequally_directed_lines @ SY274 @ ( reverse_line @ SY275 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(810,plain,
! [SV150: $i] :
( ( ~ ! [SY276: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY276 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY276 ) )
| ! [SY277: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY277 ) )
| ( unequally_directed_lines @ SY276 @ SY277 ) ) )
| ~ ! [SY278: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY278 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY278 ) )
| ! [SY279: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY279 ) )
| ( unequally_directed_lines @ SY278 @ ( reverse_line @ SY279 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(811,plain,
! [SV194: $i,SV179: $i] :
( ( ~ ( left_convergent_lines @ SV179 @ SV194 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(812,plain,
! [SV195: $i,SV180: $i] :
( ( ~ ( left_convergent_lines @ SV180 @ ( reverse_line @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(813,plain,
! [SV196: $i,SV181: $i] :
( ( ~ ( unequally_directed_lines @ SV181 @ SV196 )
| ~ ( unequally_directed_lines @ SV181 @ ( reverse_line @ SV196 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SV181 @ SV196 ) @ SV181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(814,plain,
! [SV197: $i,SV182: $i] :
( ( ~ ( unequally_directed_lines @ SV182 @ SV197 )
| ~ ( unequally_directed_lines @ SV182 @ ( reverse_line @ SV197 ) )
| ~ ( apart_point_and_line @ ( intersection_point @ SV182 @ SV197 ) @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(815,plain,
! [SV151: $i,SV183: $i,SV127: $i] :
( ( ( distinct_points @ SV127 @ SV183 )
= $true )
| ( ( distinct_points @ SV151 @ SV183 )
= $true )
| ( ( distinct_points @ SV127 @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(816,plain,
! [SV152: $i,SV184: $i,SV129: $i] :
( ( ( distinct_lines @ SV129 @ SV184 )
= $true )
| ( ( distinct_lines @ SV152 @ SV184 )
= $true )
| ( ( distinct_lines @ SV129 @ SV152 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(817,plain,
! [SV153: $i,SV185: $i,SV131: $i] :
( ( ( unequally_directed_lines @ SV131 @ SV185 )
= $true )
| ( ( unequally_directed_lines @ SV153 @ SV185 )
= $true )
| ( ( unequally_directed_lines @ SV131 @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(818,plain,
! [SV132: $i,SV154: $i] :
( ( ( line @ SV154 )
= $false )
| ( ( line @ SV132 )
= $false )
| ( ( ( unequally_directed_lines @ SV132 @ SV154 )
| ( unequally_directed_lines @ SV132 @ ( reverse_line @ SV154 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(819,plain,
! [SV155: $i,SV133: $i] :
( ( ( unequally_directed_lines @ SV133 @ ( reverse_line @ SV155 ) )
= $false )
| ( ( unequally_directed_lines @ SV133 @ SV155 )
= $false )
| ( ( ( left_convergent_lines @ SV133 @ SV155 )
| ( left_convergent_lines @ SV133 @ ( reverse_line @ SV155 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(820,plain,
! [SV156: $i,SV134: $i] :
( ( ( point @ SV134 )
= $false )
| ( ( ~ ( point @ SV156 ) )
= $true )
| ( ( ~ ( distinct_points @ SV134 @ SV156 ) )
= $true )
| ( ( line @ ( line_connecting @ SV134 @ SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(821,plain,
! [SV157: $i,SV135: $i] :
( ( ( ~ ( line @ SV135 ) )
= $true )
| ( ( ~ ( line @ SV157 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV135 @ SV157 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV135 @ ( reverse_line @ SV157 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV135 @ SV157 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(822,plain,
! [SV136: $i,SV158: $i] :
( ( ( point @ SV158 )
= $false )
| ( ( line @ SV136 )
= $false )
| ( ( line @ ( parallel_through_point @ SV136 @ SV158 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(823,plain,
! [SV162: $i,SV142: $i,SV172: $i,SV168: $i] :
( ( ( ~ ( distinct_lines @ SV168 @ SV172 ) )
= $true )
| ( ( ~ ( distinct_points @ SV142 @ SV162 ) )
= $true )
| ( ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV162 @ SV172 )
| ( left_apart_point @ SV142 @ SV172 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[788]) ).
thf(824,plain,
! [SV169: $i,SV163: $i,SV143: $i] :
( ( ( distinct_points @ SV143 @ SV163 )
= $false )
| ( ( ~ ( left_apart_point @ SV143 @ SV169 ) )
= $true )
| ( ( ( left_apart_point @ SV163 @ SV169 )
| ( left_convergent_lines @ ( line_connecting @ SV143 @ SV163 ) @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(825,plain,
! [SV170: $i,SV164: $i,SV144: $i] :
( ( ( distinct_points @ SV144 @ SV164 )
= $true )
| ( ( left_apart_point @ SV164 @ SV170 )
= $true )
| ( ( left_apart_point @ SV144 @ SV170 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(826,plain,
! [SV171: $i,SV165: $i,SV145: $i] :
( ( ( left_apart_point @ SV145 @ SV165 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV165 @ SV171 ) )
= $true )
| ( ( ( distinct_lines @ SV165 @ SV171 )
| ( left_apart_point @ SV145 @ ( reverse_line @ SV171 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(827,plain,
! [SV166: $i,SV186: $i,SV146: $i] :
( ( ( left_convergent_lines @ SV146 @ SV186 )
= $true )
| ( ( unequally_directed_lines @ SV166 @ SV186 )
= $true )
| ( ( left_convergent_lines @ SV146 @ SV166 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(828,plain,
! [SV187: $i,SV173: $i] :
( ( ( ~ ( apart_point_and_line @ SV173 @ SV187 ) )
= $true )
| ( ( ( left_apart_point @ SV173 @ SV187 )
| ( left_apart_point @ SV173 @ ( reverse_line @ SV187 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(829,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ SX1 )
| ( apart_point_and_line @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(830,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( left_apart_point @ SX0 @ ( reverse_line @ SX1 ) )
| ( apart_point_and_line @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(831,plain,
! [SV147: $i,SV198: $i,SV188: $i] :
( ( ~ ( distinct_points @ SV188 @ SV198 )
| ( left_apart_point @ SV188 @ SV147 )
| ( left_apart_point @ SV188 @ ( reverse_line @ SV147 ) )
| ( left_apart_point @ SV198 @ SV147 )
| ( left_apart_point @ SV198 @ ( reverse_line @ SV147 ) )
| ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV188 @ SV198 ) )
| ( before_on_line @ SV147 @ SV188 @ SV198 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(832,plain,
! [SV147: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ~ ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(833,plain,
! [SV147: $i] :
( ( ~ ! [SY245: $i,SY246: $i] :
( ~ ( before_on_line @ SV147 @ SY245 @ SY246 )
| ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY245 @ SY246 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[797]) ).
thf(834,plain,
! [SV189: $i,SV174: $i] :
( ( left_apart_point @ SV174 @ SV189 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(835,plain,
! [SV190: $i,SV175: $i] :
( ( left_apart_point @ SV175 @ ( reverse_line @ SV190 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(836,plain,
! [SV191: $i,SV176: $i] :
( ( ( ~ ( distinct_points @ SV176 @ SV191 ) )
= $true )
| ( ( ~ ( apart_point_and_line @ SV176 @ ( line_connecting @ SV176 @ SV191 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(837,plain,
! [SV192: $i,SV177: $i] :
( ( ( ~ ( distinct_points @ SV177 @ SV192 ) )
= $true )
| ( ( ~ ( apart_point_and_line @ SV192 @ ( line_connecting @ SV177 @ SV192 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(838,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ~ ( ~ ! [SY289: $i,SY290: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY289 @ SY290 )
| ( before_on_line @ SV148 @ SV167 @ SY289 )
| ( before_on_line @ SV148 @ SY290 @ SY289 ) )
| ~ ! [SY291: $i] :
( ! [SY292: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SY291 @ SY292 )
| ( before_on_line @ SV148 @ SV167 @ SY291 )
| ( before_on_line @ SV148 @ SY291 @ SV167 ) ) )
| ~ ~ ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY294 @ SY293 ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SV167 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(839,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ! [SY297: $i,SY298: $i] :
( ~ ( before_on_line @ SV148 @ SV167 @ SY297 )
| ~ ( before_on_line @ SV148 @ SY297 @ SY298 )
| ( between_on_line @ SV148 @ SV167 @ SY297 @ SY298 ) )
| ~ ! [SY299: $i,SY300: $i] :
( ~ ( before_on_line @ SV148 @ SY300 @ SY299 )
| ~ ( before_on_line @ SV148 @ SY299 @ SV167 )
| ( between_on_line @ SV148 @ SV167 @ SY299 @ SY300 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(840,plain,
! [SV193: $i,SV178: $i] :
( ( ( ~ ( unequally_directed_lines @ SV178 @ SV193 )
| ~ ( unequally_directed_lines @ SV178 @ ( reverse_line @ SV193 ) ) )
= $true )
| ( ( convergent_lines @ SV178 @ SV193 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(841,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(842,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( convergent_lines @ SX0 @ SX1 )
| ( unequally_directed_lines @ SX0 @ ( reverse_line @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(843,plain,
! [SV149: $i] :
( ( ~ ~ ( ~ ! [SY260: $i,SY261: $i] :
( ~ ( divides_points @ SY261 @ SV149 @ SY260 )
| ( left_apart_point @ SV149 @ SY261 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY261 ) ) )
| ~ ! [SY262: $i,SY263: $i] :
( ~ ( divides_points @ SY263 @ SV149 @ SY262 )
| ( left_apart_point @ SV149 @ SY263 )
| ( left_apart_point @ SY262 @ SY263 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(844,plain,
! [SV149: $i] :
( ( ~ ~ ( ~ ! [SY264: $i,SY265: $i] :
( ~ ( divides_points @ SY265 @ SV149 @ SY264 )
| ( left_apart_point @ SY264 @ ( reverse_line @ SY265 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY265 ) ) )
| ~ ! [SY266: $i,SY267: $i] :
( ~ ( divides_points @ SY267 @ SV149 @ SY266 )
| ( left_apart_point @ SY266 @ ( reverse_line @ SY267 ) )
| ( left_apart_point @ SY266 @ SY267 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(845,plain,
! [SV149: $i] :
( ( ~ ! [SY268: $i,SY269: $i] :
( ~ ( left_apart_point @ SV149 @ SY269 )
| ~ ( left_apart_point @ SY268 @ ( reverse_line @ SY269 ) )
| ( divides_points @ SY269 @ SV149 @ SY268 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(846,plain,
! [SV149: $i] :
( ( ~ ! [SY270: $i,SY271: $i] :
( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SY271 ) )
| ~ ( left_apart_point @ SY270 @ SY271 )
| ( divides_points @ SY271 @ SV149 @ SY270 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(847,plain,
! [SV150: $i] :
( ( ~ ! [SY272: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY272 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY272 ) )
| ! [SY273: $i] :
( ( unequally_directed_lines @ SV150 @ SY273 )
| ( unequally_directed_lines @ SY272 @ SY273 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[809]) ).
thf(848,plain,
! [SV150: $i] :
( ( ~ ! [SY274: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY274 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY274 ) )
| ! [SY275: $i] :
( ( unequally_directed_lines @ SV150 @ SY275 )
| ( unequally_directed_lines @ SY274 @ ( reverse_line @ SY275 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[809]) ).
thf(849,plain,
! [SV150: $i] :
( ( ~ ! [SY276: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY276 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY276 ) )
| ! [SY277: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY277 ) )
| ( unequally_directed_lines @ SY276 @ SY277 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(850,plain,
! [SV150: $i] :
( ( ~ ! [SY278: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY278 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY278 ) )
| ! [SY279: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY279 ) )
| ( unequally_directed_lines @ SY278 @ ( reverse_line @ SY279 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(851,plain,
! [SV194: $i,SV179: $i] :
( ( left_convergent_lines @ SV179 @ SV194 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(852,plain,
! [SV195: $i,SV180: $i] :
( ( left_convergent_lines @ SV180 @ ( reverse_line @ SV195 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(853,plain,
! [SV196: $i,SV181: $i] :
( ( ( ~ ( unequally_directed_lines @ SV181 @ SV196 )
| ~ ( unequally_directed_lines @ SV181 @ ( reverse_line @ SV196 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV181 @ SV196 ) @ SV181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(854,plain,
! [SV197: $i,SV182: $i] :
( ( ( ~ ( unequally_directed_lines @ SV182 @ SV197 )
| ~ ( unequally_directed_lines @ SV182 @ ( reverse_line @ SV197 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV182 @ SV197 ) @ SV197 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(855,plain,
! [SV154: $i,SV132: $i] :
( ( ( unequally_directed_lines @ SV132 @ SV154 )
= $true )
| ( ( unequally_directed_lines @ SV132 @ ( reverse_line @ SV154 ) )
= $true )
| ( ( line @ SV132 )
= $false )
| ( ( line @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(856,plain,
! [SV155: $i,SV133: $i] :
( ( ( left_convergent_lines @ SV133 @ SV155 )
= $true )
| ( ( left_convergent_lines @ SV133 @ ( reverse_line @ SV155 ) )
= $true )
| ( ( unequally_directed_lines @ SV133 @ SV155 )
= $false )
| ( ( unequally_directed_lines @ SV133 @ ( reverse_line @ SV155 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(857,plain,
! [SV134: $i,SV156: $i] :
( ( ( point @ SV156 )
= $false )
| ( ( point @ SV134 )
= $false )
| ( ( ~ ( distinct_points @ SV134 @ SV156 ) )
= $true )
| ( ( line @ ( line_connecting @ SV134 @ SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(858,plain,
! [SV157: $i,SV135: $i] :
( ( ( line @ SV135 )
= $false )
| ( ( ~ ( line @ SV157 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV135 @ SV157 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV135 @ ( reverse_line @ SV157 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV135 @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(859,plain,
! [SV162: $i,SV142: $i,SV172: $i,SV168: $i] :
( ( ( distinct_lines @ SV168 @ SV172 )
= $false )
| ( ( ~ ( distinct_points @ SV142 @ SV162 ) )
= $true )
| ( ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV162 @ SV172 )
| ( left_apart_point @ SV142 @ SV172 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(860,plain,
! [SV163: $i,SV169: $i,SV143: $i] :
( ( ( left_apart_point @ SV143 @ SV169 )
= $false )
| ( ( distinct_points @ SV143 @ SV163 )
= $false )
| ( ( ( left_apart_point @ SV163 @ SV169 )
| ( left_convergent_lines @ ( line_connecting @ SV143 @ SV163 ) @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(861,plain,
! [SV145: $i,SV171: $i,SV165: $i] :
( ( ( unequally_directed_lines @ SV165 @ SV171 )
= $false )
| ( ( left_apart_point @ SV145 @ SV165 )
= $false )
| ( ( ( distinct_lines @ SV165 @ SV171 )
| ( left_apart_point @ SV145 @ ( reverse_line @ SV171 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(862,plain,
! [SV187: $i,SV173: $i] :
( ( ( apart_point_and_line @ SV173 @ SV187 )
= $false )
| ( ( ( left_apart_point @ SV173 @ SV187 )
| ( left_apart_point @ SV173 @ ( reverse_line @ SV187 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(863,plain,
! [SV199: $i] :
( ( ! [SY313: $i] :
( ~ ( left_apart_point @ SV199 @ SY313 )
| ( apart_point_and_line @ SV199 @ SY313 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(864,plain,
! [SV200: $i] :
( ( ! [SY314: $i] :
( ~ ( left_apart_point @ SV200 @ ( reverse_line @ SY314 ) )
| ( apart_point_and_line @ SV200 @ SY314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(865,plain,
! [SV147: $i,SV198: $i,SV188: $i] :
( ( ( ~ ( distinct_points @ SV188 @ SV198 )
| ( left_apart_point @ SV188 @ SV147 )
| ( left_apart_point @ SV188 @ ( reverse_line @ SV147 ) )
| ( left_apart_point @ SV198 @ SV147 )
| ( left_apart_point @ SV198 @ ( reverse_line @ SV147 ) )
| ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV188 @ SV198 ) ) )
= $true )
| ( ( before_on_line @ SV147 @ SV188 @ SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(866,plain,
! [SV147: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ~ ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(867,plain,
! [SV147: $i] :
( ( ! [SY245: $i,SY246: $i] :
( ~ ( before_on_line @ SV147 @ SY245 @ SY246 )
| ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SY245 @ SY246 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[833]) ).
thf(868,plain,
! [SV191: $i,SV176: $i] :
( ( ( distinct_points @ SV176 @ SV191 )
= $false )
| ( ( ~ ( apart_point_and_line @ SV176 @ ( line_connecting @ SV176 @ SV191 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(869,plain,
! [SV192: $i,SV177: $i] :
( ( ( distinct_points @ SV177 @ SV192 )
= $false )
| ( ( ~ ( apart_point_and_line @ SV192 @ ( line_connecting @ SV177 @ SV192 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(870,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ~ ( ~ ! [SY289: $i,SY290: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY289 @ SY290 )
| ( before_on_line @ SV148 @ SV167 @ SY289 )
| ( before_on_line @ SV148 @ SY290 @ SY289 ) )
| ~ ! [SY291: $i] :
( ! [SY292: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SY291 @ SY292 )
| ( before_on_line @ SV148 @ SV167 @ SY291 )
| ( before_on_line @ SV148 @ SY291 @ SV167 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[838]) ).
thf(871,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ~ ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY294 @ SY293 ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SV167 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[838]) ).
thf(872,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ! [SY297: $i,SY298: $i] :
( ~ ( before_on_line @ SV148 @ SV167 @ SY297 )
| ~ ( before_on_line @ SV148 @ SY297 @ SY298 )
| ( between_on_line @ SV148 @ SV167 @ SY297 @ SY298 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(873,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ! [SY299: $i,SY300: $i] :
( ~ ( before_on_line @ SV148 @ SY300 @ SY299 )
| ~ ( before_on_line @ SV148 @ SY299 @ SV167 )
| ( between_on_line @ SV148 @ SV167 @ SY299 @ SY300 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(874,plain,
! [SV193: $i,SV178: $i] :
( ( ( ~ ( unequally_directed_lines @ SV178 @ SV193 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV178 @ ( reverse_line @ SV193 ) ) )
= $true )
| ( ( convergent_lines @ SV178 @ SV193 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(875,plain,
! [SV201: $i] :
( ( ! [SY315: $i] :
( ~ ( convergent_lines @ SV201 @ SY315 )
| ( unequally_directed_lines @ SV201 @ SY315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(876,plain,
! [SV202: $i] :
( ( ! [SY316: $i] :
( ~ ( convergent_lines @ SV202 @ SY316 )
| ( unequally_directed_lines @ SV202 @ ( reverse_line @ SY316 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(877,plain,
! [SV149: $i] :
( ( ~ ( ~ ! [SY260: $i,SY261: $i] :
( ~ ( divides_points @ SY261 @ SV149 @ SY260 )
| ( left_apart_point @ SV149 @ SY261 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY261 ) ) )
| ~ ! [SY262: $i,SY263: $i] :
( ~ ( divides_points @ SY263 @ SV149 @ SY262 )
| ( left_apart_point @ SV149 @ SY263 )
| ( left_apart_point @ SY262 @ SY263 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(878,plain,
! [SV149: $i] :
( ( ~ ( ~ ! [SY264: $i,SY265: $i] :
( ~ ( divides_points @ SY265 @ SV149 @ SY264 )
| ( left_apart_point @ SY264 @ ( reverse_line @ SY265 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY265 ) ) )
| ~ ! [SY266: $i,SY267: $i] :
( ~ ( divides_points @ SY267 @ SV149 @ SY266 )
| ( left_apart_point @ SY266 @ ( reverse_line @ SY267 ) )
| ( left_apart_point @ SY266 @ SY267 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(879,plain,
! [SV149: $i] :
( ( ! [SY268: $i,SY269: $i] :
( ~ ( left_apart_point @ SV149 @ SY269 )
| ~ ( left_apart_point @ SY268 @ ( reverse_line @ SY269 ) )
| ( divides_points @ SY269 @ SV149 @ SY268 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(880,plain,
! [SV149: $i] :
( ( ! [SY270: $i,SY271: $i] :
( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SY271 ) )
| ~ ( left_apart_point @ SY270 @ SY271 )
| ( divides_points @ SY271 @ SV149 @ SY270 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[846]) ).
thf(881,plain,
! [SV150: $i] :
( ( ! [SY272: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY272 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY272 ) )
| ! [SY273: $i] :
( ( unequally_directed_lines @ SV150 @ SY273 )
| ( unequally_directed_lines @ SY272 @ SY273 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[847]) ).
thf(882,plain,
! [SV150: $i] :
( ( ! [SY274: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY274 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY274 ) )
| ! [SY275: $i] :
( ( unequally_directed_lines @ SV150 @ SY275 )
| ( unequally_directed_lines @ SY274 @ ( reverse_line @ SY275 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(883,plain,
! [SV150: $i] :
( ( ! [SY276: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY276 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY276 ) )
| ! [SY277: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY277 ) )
| ( unequally_directed_lines @ SY276 @ SY277 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[849]) ).
thf(884,plain,
! [SV150: $i] :
( ( ! [SY278: $i] :
( ~ ( unequally_directed_lines @ SV150 @ SY278 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY278 ) )
| ! [SY279: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY279 ) )
| ( unequally_directed_lines @ SY278 @ ( reverse_line @ SY279 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[850]) ).
thf(885,plain,
! [SV196: $i,SV181: $i] :
( ( ( ~ ( unequally_directed_lines @ SV181 @ SV196 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV181 @ ( reverse_line @ SV196 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV181 @ SV196 ) @ SV181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(886,plain,
! [SV197: $i,SV182: $i] :
( ( ( ~ ( unequally_directed_lines @ SV182 @ SV197 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV182 @ ( reverse_line @ SV197 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV182 @ SV197 ) @ SV197 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(887,plain,
! [SV156: $i,SV134: $i] :
( ( ( distinct_points @ SV134 @ SV156 )
= $false )
| ( ( point @ SV134 )
= $false )
| ( ( point @ SV156 )
= $false )
| ( ( line @ ( line_connecting @ SV134 @ SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(888,plain,
! [SV135: $i,SV157: $i] :
( ( ( line @ SV157 )
= $false )
| ( ( line @ SV135 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV135 @ SV157 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV135 @ ( reverse_line @ SV157 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV135 @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(889,plain,
! [SV172: $i,SV168: $i,SV162: $i,SV142: $i] :
( ( ( distinct_points @ SV142 @ SV162 )
= $false )
| ( ( distinct_lines @ SV168 @ SV172 )
= $false )
| ( ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV162 @ SV172 )
| ( left_apart_point @ SV142 @ SV172 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(890,plain,
! [SV143: $i,SV169: $i,SV163: $i] :
( ( ( left_apart_point @ SV163 @ SV169 )
= $true )
| ( ( left_convergent_lines @ ( line_connecting @ SV143 @ SV163 ) @ SV169 )
= $true )
| ( ( distinct_points @ SV143 @ SV163 )
= $false )
| ( ( left_apart_point @ SV143 @ SV169 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(891,plain,
! [SV145: $i,SV171: $i,SV165: $i] :
( ( ( distinct_lines @ SV165 @ SV171 )
= $true )
| ( ( left_apart_point @ SV145 @ ( reverse_line @ SV171 ) )
= $true )
| ( ( left_apart_point @ SV145 @ SV165 )
= $false )
| ( ( unequally_directed_lines @ SV165 @ SV171 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(892,plain,
! [SV187: $i,SV173: $i] :
( ( ( left_apart_point @ SV173 @ SV187 )
= $true )
| ( ( left_apart_point @ SV173 @ ( reverse_line @ SV187 ) )
= $true )
| ( ( apart_point_and_line @ SV173 @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(893,plain,
! [SV203: $i,SV199: $i] :
( ( ~ ( left_apart_point @ SV199 @ SV203 )
| ( apart_point_and_line @ SV199 @ SV203 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(894,plain,
! [SV204: $i,SV200: $i] :
( ( ~ ( left_apart_point @ SV200 @ ( reverse_line @ SV204 ) )
| ( apart_point_and_line @ SV200 @ SV204 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(895,plain,
! [SV147: $i,SV198: $i,SV188: $i] :
( ( ( ~ ( distinct_points @ SV188 @ SV198 )
| ( left_apart_point @ SV188 @ SV147 )
| ( left_apart_point @ SV188 @ ( reverse_line @ SV147 ) )
| ( left_apart_point @ SV198 @ SV147 )
| ( left_apart_point @ SV198 @ ( reverse_line @ SV147 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV188 @ SV198 ) )
= $true )
| ( ( before_on_line @ SV147 @ SV188 @ SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(896,plain,
! [SV147: $i] :
( ( ~ ~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
| ~ ~ ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(897,plain,
! [SV205: $i,SV147: $i] :
( ( ! [SY317: $i] :
( ~ ( before_on_line @ SV147 @ SV205 @ SY317 )
| ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV205 @ SY317 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(898,plain,
! [SV191: $i,SV176: $i] :
( ( ( apart_point_and_line @ SV176 @ ( line_connecting @ SV176 @ SV191 ) )
= $false )
| ( ( distinct_points @ SV176 @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(899,plain,
! [SV177: $i,SV192: $i] :
( ( ( apart_point_and_line @ SV192 @ ( line_connecting @ SV177 @ SV192 ) )
= $false )
| ( ( distinct_points @ SV177 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(900,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ( ~ ! [SY289: $i,SY290: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY289 @ SY290 )
| ( before_on_line @ SV148 @ SV167 @ SY289 )
| ( before_on_line @ SV148 @ SY290 @ SY289 ) )
| ~ ! [SY291: $i] :
( ! [SY292: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SY291 @ SY292 )
| ( before_on_line @ SV148 @ SV167 @ SY291 )
| ( before_on_line @ SV148 @ SY291 @ SV167 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(901,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY294 @ SY293 ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SV167 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(902,plain,
! [SV167: $i,SV148: $i] :
( ( ! [SY297: $i,SY298: $i] :
( ~ ( before_on_line @ SV148 @ SV167 @ SY297 )
| ~ ( before_on_line @ SV148 @ SY297 @ SY298 )
| ( between_on_line @ SV148 @ SV167 @ SY297 @ SY298 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[872]) ).
thf(903,plain,
! [SV167: $i,SV148: $i] :
( ( ! [SY299: $i,SY300: $i] :
( ~ ( before_on_line @ SV148 @ SY300 @ SY299 )
| ~ ( before_on_line @ SV148 @ SY299 @ SV167 )
| ( between_on_line @ SV148 @ SV167 @ SY299 @ SY300 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(904,plain,
! [SV193: $i,SV178: $i] :
( ( ( unequally_directed_lines @ SV178 @ SV193 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV178 @ ( reverse_line @ SV193 ) ) )
= $true )
| ( ( convergent_lines @ SV178 @ SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(905,plain,
! [SV206: $i,SV201: $i] :
( ( ~ ( convergent_lines @ SV201 @ SV206 )
| ( unequally_directed_lines @ SV201 @ SV206 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(906,plain,
! [SV207: $i,SV202: $i] :
( ( ~ ( convergent_lines @ SV202 @ SV207 )
| ( unequally_directed_lines @ SV202 @ ( reverse_line @ SV207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(907,plain,
! [SV149: $i] :
( ( ~ ! [SY260: $i,SY261: $i] :
( ~ ( divides_points @ SY261 @ SV149 @ SY260 )
| ( left_apart_point @ SV149 @ SY261 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY261 ) ) )
| ~ ! [SY262: $i,SY263: $i] :
( ~ ( divides_points @ SY263 @ SV149 @ SY262 )
| ( left_apart_point @ SV149 @ SY263 )
| ( left_apart_point @ SY262 @ SY263 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(908,plain,
! [SV149: $i] :
( ( ~ ! [SY264: $i,SY265: $i] :
( ~ ( divides_points @ SY265 @ SV149 @ SY264 )
| ( left_apart_point @ SY264 @ ( reverse_line @ SY265 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY265 ) ) )
| ~ ! [SY266: $i,SY267: $i] :
( ~ ( divides_points @ SY267 @ SV149 @ SY266 )
| ( left_apart_point @ SY266 @ ( reverse_line @ SY267 ) )
| ( left_apart_point @ SY266 @ SY267 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(909,plain,
! [SV208: $i,SV149: $i] :
( ( ! [SY318: $i] :
( ~ ( left_apart_point @ SV149 @ SY318 )
| ~ ( left_apart_point @ SV208 @ ( reverse_line @ SY318 ) )
| ( divides_points @ SY318 @ SV149 @ SV208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(910,plain,
! [SV209: $i,SV149: $i] :
( ( ! [SY319: $i] :
( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SY319 ) )
| ~ ( left_apart_point @ SV209 @ SY319 )
| ( divides_points @ SY319 @ SV149 @ SV209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(911,plain,
! [SV210: $i,SV150: $i] :
( ( ~ ( unequally_directed_lines @ SV150 @ SV210 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV210 ) )
| ! [SY320: $i] :
( ( unequally_directed_lines @ SV150 @ SY320 )
| ( unequally_directed_lines @ SV210 @ SY320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(912,plain,
! [SV211: $i,SV150: $i] :
( ( ~ ( unequally_directed_lines @ SV150 @ SV211 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV211 ) )
| ! [SY321: $i] :
( ( unequally_directed_lines @ SV150 @ SY321 )
| ( unequally_directed_lines @ SV211 @ ( reverse_line @ SY321 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(913,plain,
! [SV212: $i,SV150: $i] :
( ( ~ ( unequally_directed_lines @ SV150 @ SV212 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV212 ) )
| ! [SY322: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY322 ) )
| ( unequally_directed_lines @ SV212 @ SY322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(914,plain,
! [SV213: $i,SV150: $i] :
( ( ~ ( unequally_directed_lines @ SV150 @ SV213 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV213 ) )
| ! [SY323: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY323 ) )
| ( unequally_directed_lines @ SV213 @ ( reverse_line @ SY323 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(915,plain,
! [SV196: $i,SV181: $i] :
( ( ( unequally_directed_lines @ SV181 @ SV196 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV181 @ ( reverse_line @ SV196 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV181 @ SV196 ) @ SV181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(916,plain,
! [SV197: $i,SV182: $i] :
( ( ( unequally_directed_lines @ SV182 @ SV197 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV182 @ ( reverse_line @ SV197 ) ) )
= $true )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV182 @ SV197 ) @ SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(917,plain,
! [SV157: $i,SV135: $i] :
( ( ( unequally_directed_lines @ SV135 @ SV157 )
= $false )
| ( ( line @ SV135 )
= $false )
| ( ( line @ SV157 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV135 @ ( reverse_line @ SV157 ) ) )
= $true )
| ( ( point @ ( intersection_point @ SV135 @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(918,plain,
! [SV168: $i,SV142: $i,SV172: $i,SV162: $i] :
( ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
| ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV162 @ SV172 )
| ( left_apart_point @ SV142 @ SV172 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true )
| ( ( distinct_lines @ SV168 @ SV172 )
= $false )
| ( ( distinct_points @ SV142 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(919,plain,
! [SV203: $i,SV199: $i] :
( ( ( ~ ( left_apart_point @ SV199 @ SV203 ) )
= $true )
| ( ( apart_point_and_line @ SV199 @ SV203 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(920,plain,
! [SV204: $i,SV200: $i] :
( ( ( ~ ( left_apart_point @ SV200 @ ( reverse_line @ SV204 ) ) )
= $true )
| ( ( apart_point_and_line @ SV200 @ SV204 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(921,plain,
! [SV147: $i,SV198: $i,SV188: $i] :
( ( ( ~ ( distinct_points @ SV188 @ SV198 )
| ( left_apart_point @ SV188 @ SV147 )
| ( left_apart_point @ SV188 @ ( reverse_line @ SV147 ) ) )
= $true )
| ( ( ( left_apart_point @ SV198 @ SV147 )
| ( left_apart_point @ SV198 @ ( reverse_line @ SV147 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV188 @ SV198 ) )
= $true )
| ( ( before_on_line @ SV147 @ SV188 @ SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(922,plain,
! [SV147: $i] :
( ( ~ ~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(923,plain,
! [SV147: $i] :
( ( ~ ~ ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(924,plain,
! [SV214: $i,SV205: $i,SV147: $i] :
( ( ~ ( before_on_line @ SV147 @ SV205 @ SV214 )
| ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV205 @ SV214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(925,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ! [SY289: $i,SY290: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY289 @ SY290 )
| ( before_on_line @ SV148 @ SV167 @ SY289 )
| ( before_on_line @ SV148 @ SY290 @ SY289 ) )
| ~ ! [SY291: $i] :
( ! [SY292: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SY291 @ SY292 )
| ( before_on_line @ SV148 @ SV167 @ SY291 )
| ( before_on_line @ SV148 @ SY291 @ SV167 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(926,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY294 @ SY293 ) )
| ~ ! [SY295: $i,SY296: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SV167 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(927,plain,
! [SV215: $i,SV167: $i,SV148: $i] :
( ( ! [SY324: $i] :
( ~ ( before_on_line @ SV148 @ SV167 @ SV215 )
| ~ ( before_on_line @ SV148 @ SV215 @ SY324 )
| ( between_on_line @ SV148 @ SV167 @ SV215 @ SY324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(928,plain,
! [SV167: $i,SV216: $i,SV148: $i] :
( ( ! [SY325: $i] :
( ~ ( before_on_line @ SV148 @ SY325 @ SV216 )
| ~ ( before_on_line @ SV148 @ SV216 @ SV167 )
| ( between_on_line @ SV148 @ SV167 @ SV216 @ SY325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(929,plain,
! [SV193: $i,SV178: $i] :
( ( ( unequally_directed_lines @ SV178 @ ( reverse_line @ SV193 ) )
= $false )
| ( ( unequally_directed_lines @ SV178 @ SV193 )
= $false )
| ( ( convergent_lines @ SV178 @ SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(930,plain,
! [SV206: $i,SV201: $i] :
( ( ( ~ ( convergent_lines @ SV201 @ SV206 ) )
= $true )
| ( ( unequally_directed_lines @ SV201 @ SV206 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(931,plain,
! [SV207: $i,SV202: $i] :
( ( ( ~ ( convergent_lines @ SV202 @ SV207 ) )
= $true )
| ( ( unequally_directed_lines @ SV202 @ ( reverse_line @ SV207 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(932,plain,
! [SV149: $i] :
( ( ~ ! [SY260: $i,SY261: $i] :
( ~ ( divides_points @ SY261 @ SV149 @ SY260 )
| ( left_apart_point @ SV149 @ SY261 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY261 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[907]) ).
thf(933,plain,
! [SV149: $i] :
( ( ~ ! [SY262: $i,SY263: $i] :
( ~ ( divides_points @ SY263 @ SV149 @ SY262 )
| ( left_apart_point @ SV149 @ SY263 )
| ( left_apart_point @ SY262 @ SY263 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[907]) ).
thf(934,plain,
! [SV149: $i] :
( ( ~ ! [SY264: $i,SY265: $i] :
( ~ ( divides_points @ SY265 @ SV149 @ SY264 )
| ( left_apart_point @ SY264 @ ( reverse_line @ SY265 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY265 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(935,plain,
! [SV149: $i] :
( ( ~ ! [SY266: $i,SY267: $i] :
( ~ ( divides_points @ SY267 @ SV149 @ SY266 )
| ( left_apart_point @ SY266 @ ( reverse_line @ SY267 ) )
| ( left_apart_point @ SY266 @ SY267 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(936,plain,
! [SV208: $i,SV217: $i,SV149: $i] :
( ( ~ ( left_apart_point @ SV149 @ SV217 )
| ~ ( left_apart_point @ SV208 @ ( reverse_line @ SV217 ) )
| ( divides_points @ SV217 @ SV149 @ SV208 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(937,plain,
! [SV209: $i,SV218: $i,SV149: $i] :
( ( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SV218 ) )
| ~ ( left_apart_point @ SV209 @ SV218 )
| ( divides_points @ SV218 @ SV149 @ SV209 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(938,plain,
! [SV210: $i,SV150: $i] :
( ( ( ~ ( unequally_directed_lines @ SV150 @ SV210 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV210 ) ) )
= $true )
| ( ( ! [SY320: $i] :
( ( unequally_directed_lines @ SV150 @ SY320 )
| ( unequally_directed_lines @ SV210 @ SY320 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(939,plain,
! [SV211: $i,SV150: $i] :
( ( ( ~ ( unequally_directed_lines @ SV150 @ SV211 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV211 ) ) )
= $true )
| ( ( ! [SY321: $i] :
( ( unequally_directed_lines @ SV150 @ SY321 )
| ( unequally_directed_lines @ SV211 @ ( reverse_line @ SY321 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[912]) ).
thf(940,plain,
! [SV212: $i,SV150: $i] :
( ( ( ~ ( unequally_directed_lines @ SV150 @ SV212 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV212 ) ) )
= $true )
| ( ( ! [SY322: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY322 ) )
| ( unequally_directed_lines @ SV212 @ SY322 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[913]) ).
thf(941,plain,
! [SV213: $i,SV150: $i] :
( ( ( ~ ( unequally_directed_lines @ SV150 @ SV213 )
| ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV213 ) ) )
= $true )
| ( ( ! [SY323: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY323 ) )
| ( unequally_directed_lines @ SV213 @ ( reverse_line @ SY323 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(942,plain,
! [SV196: $i,SV181: $i] :
( ( ( unequally_directed_lines @ SV181 @ ( reverse_line @ SV196 ) )
= $false )
| ( ( unequally_directed_lines @ SV181 @ SV196 )
= $false )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV181 @ SV196 ) @ SV181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(943,plain,
! [SV197: $i,SV182: $i] :
( ( ( unequally_directed_lines @ SV182 @ ( reverse_line @ SV197 ) )
= $false )
| ( ( unequally_directed_lines @ SV182 @ SV197 )
= $false )
| ( ( ~ ( apart_point_and_line @ ( intersection_point @ SV182 @ SV197 ) @ SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(944,plain,
! [SV157: $i,SV135: $i] :
( ( ( unequally_directed_lines @ SV135 @ ( reverse_line @ SV157 ) )
= $false )
| ( ( line @ SV157 )
= $false )
| ( ( line @ SV135 )
= $false )
| ( ( unequally_directed_lines @ SV135 @ SV157 )
= $false )
| ( ( point @ ( intersection_point @ SV135 @ SV157 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(945,plain,
! [SV168: $i,SV162: $i,SV172: $i,SV142: $i] :
( ( ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV162 @ SV172 )
| ( left_apart_point @ SV142 @ SV172 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( distinct_lines @ SV168 @ SV172 )
= $false )
| ( ( distinct_points @ SV142 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(946,plain,
! [SV203: $i,SV199: $i] :
( ( ( left_apart_point @ SV199 @ SV203 )
= $false )
| ( ( apart_point_and_line @ SV199 @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(947,plain,
! [SV204: $i,SV200: $i] :
( ( ( left_apart_point @ SV200 @ ( reverse_line @ SV204 ) )
= $false )
| ( ( apart_point_and_line @ SV200 @ SV204 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(948,plain,
! [SV147: $i,SV198: $i,SV188: $i] :
( ( ( ~ ( distinct_points @ SV188 @ SV198 ) )
= $true )
| ( ( ( left_apart_point @ SV188 @ SV147 )
| ( left_apart_point @ SV188 @ ( reverse_line @ SV147 ) ) )
= $true )
| ( ( ( left_apart_point @ SV198 @ SV147 )
| ( left_apart_point @ SV198 @ ( reverse_line @ SV147 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV188 @ SV198 ) )
= $true )
| ( ( before_on_line @ SV147 @ SV188 @ SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(949,plain,
! [SV147: $i] :
( ( ~ ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[922]) ).
thf(950,plain,
! [SV147: $i] :
( ( ~ ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(951,plain,
! [SV214: $i,SV205: $i,SV147: $i] :
( ( ( ~ ( before_on_line @ SV147 @ SV205 @ SV214 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV205 @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(952,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ! [SY289: $i,SY290: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY289 @ SY290 )
| ( before_on_line @ SV148 @ SV167 @ SY289 )
| ( before_on_line @ SV148 @ SY290 @ SY289 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(953,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ! [SY291: $i] :
( ! [SY292: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SY291 @ SY292 )
| ( before_on_line @ SV148 @ SV167 @ SY291 )
| ( before_on_line @ SV148 @ SY291 @ SV167 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(954,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ! [SY293: $i,SY294: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY294 @ SY293 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(955,plain,
! [SV167: $i,SV148: $i] :
( ( ~ ! [SY295: $i,SY296: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SV167 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(956,plain,
! [SV219: $i,SV215: $i,SV167: $i,SV148: $i] :
( ( ~ ( before_on_line @ SV148 @ SV167 @ SV215 )
| ~ ( before_on_line @ SV148 @ SV215 @ SV219 )
| ( between_on_line @ SV148 @ SV167 @ SV215 @ SV219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(957,plain,
! [SV167: $i,SV216: $i,SV220: $i,SV148: $i] :
( ( ~ ( before_on_line @ SV148 @ SV220 @ SV216 )
| ~ ( before_on_line @ SV148 @ SV216 @ SV167 )
| ( between_on_line @ SV148 @ SV167 @ SV216 @ SV220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(958,plain,
! [SV206: $i,SV201: $i] :
( ( ( convergent_lines @ SV201 @ SV206 )
= $false )
| ( ( unequally_directed_lines @ SV201 @ SV206 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(959,plain,
! [SV207: $i,SV202: $i] :
( ( ( convergent_lines @ SV202 @ SV207 )
= $false )
| ( ( unequally_directed_lines @ SV202 @ ( reverse_line @ SV207 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(960,plain,
! [SV149: $i] :
( ( ! [SY260: $i,SY261: $i] :
( ~ ( divides_points @ SY261 @ SV149 @ SY260 )
| ( left_apart_point @ SV149 @ SY261 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY261 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(961,plain,
! [SV149: $i] :
( ( ! [SY262: $i,SY263: $i] :
( ~ ( divides_points @ SY263 @ SV149 @ SY262 )
| ( left_apart_point @ SV149 @ SY263 )
| ( left_apart_point @ SY262 @ SY263 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(962,plain,
! [SV149: $i] :
( ( ! [SY264: $i,SY265: $i] :
( ~ ( divides_points @ SY265 @ SV149 @ SY264 )
| ( left_apart_point @ SY264 @ ( reverse_line @ SY265 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY265 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(963,plain,
! [SV149: $i] :
( ( ! [SY266: $i,SY267: $i] :
( ~ ( divides_points @ SY267 @ SV149 @ SY266 )
| ( left_apart_point @ SY266 @ ( reverse_line @ SY267 ) )
| ( left_apart_point @ SY266 @ SY267 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(964,plain,
! [SV208: $i,SV217: $i,SV149: $i] :
( ( ( ~ ( left_apart_point @ SV149 @ SV217 )
| ~ ( left_apart_point @ SV208 @ ( reverse_line @ SV217 ) ) )
= $true )
| ( ( divides_points @ SV217 @ SV149 @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(965,plain,
! [SV209: $i,SV218: $i,SV149: $i] :
( ( ( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SV218 ) )
| ~ ( left_apart_point @ SV209 @ SV218 ) )
= $true )
| ( ( divides_points @ SV218 @ SV149 @ SV209 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(966,plain,
! [SV210: $i,SV150: $i] :
( ( ( ~ ( unequally_directed_lines @ SV150 @ SV210 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV210 ) ) )
= $true )
| ( ( ! [SY320: $i] :
( ( unequally_directed_lines @ SV150 @ SY320 )
| ( unequally_directed_lines @ SV210 @ SY320 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(967,plain,
! [SV211: $i,SV150: $i] :
( ( ( ~ ( unequally_directed_lines @ SV150 @ SV211 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV211 ) ) )
= $true )
| ( ( ! [SY321: $i] :
( ( unequally_directed_lines @ SV150 @ SY321 )
| ( unequally_directed_lines @ SV211 @ ( reverse_line @ SY321 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(968,plain,
! [SV212: $i,SV150: $i] :
( ( ( ~ ( unequally_directed_lines @ SV150 @ SV212 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV212 ) ) )
= $true )
| ( ( ! [SY322: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY322 ) )
| ( unequally_directed_lines @ SV212 @ SY322 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(969,plain,
! [SV213: $i,SV150: $i] :
( ( ( ~ ( unequally_directed_lines @ SV150 @ SV213 ) )
= $true )
| ( ( ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV213 ) ) )
= $true )
| ( ( ! [SY323: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY323 ) )
| ( unequally_directed_lines @ SV213 @ ( reverse_line @ SY323 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(970,plain,
! [SV196: $i,SV181: $i] :
( ( ( apart_point_and_line @ ( intersection_point @ SV181 @ SV196 ) @ SV181 )
= $false )
| ( ( unequally_directed_lines @ SV181 @ SV196 )
= $false )
| ( ( unequally_directed_lines @ SV181 @ ( reverse_line @ SV196 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(971,plain,
! [SV197: $i,SV182: $i] :
( ( ( apart_point_and_line @ ( intersection_point @ SV182 @ SV197 ) @ SV197 )
= $false )
| ( ( unequally_directed_lines @ SV182 @ SV197 )
= $false )
| ( ( unequally_directed_lines @ SV182 @ ( reverse_line @ SV197 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(972,plain,
! [SV172: $i,SV142: $i,SV168: $i,SV162: $i] :
( ( ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
= $true )
| ( ( ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
| ( left_apart_point @ SV162 @ SV172 )
| ( left_apart_point @ SV142 @ SV172 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( distinct_lines @ SV168 @ SV172 )
= $false )
| ( ( distinct_points @ SV142 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[945]) ).
thf(973,plain,
! [SV147: $i,SV198: $i,SV188: $i] :
( ( ( distinct_points @ SV188 @ SV198 )
= $false )
| ( ( ( left_apart_point @ SV188 @ SV147 )
| ( left_apart_point @ SV188 @ ( reverse_line @ SV147 ) ) )
= $true )
| ( ( ( left_apart_point @ SV198 @ SV147 )
| ( left_apart_point @ SV198 @ ( reverse_line @ SV147 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV188 @ SV198 ) )
= $true )
| ( ( before_on_line @ SV147 @ SV188 @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(974,plain,
! [SV147: $i] :
( ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) )
| ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(975,plain,
! [SV147: $i] :
( ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) )
| ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(976,plain,
! [SV214: $i,SV205: $i,SV147: $i] :
( ( ( before_on_line @ SV147 @ SV205 @ SV214 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV205 @ SV214 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(977,plain,
! [SV167: $i,SV148: $i] :
( ( ! [SY289: $i,SY290: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY289 @ SY290 )
| ( before_on_line @ SV148 @ SV167 @ SY289 )
| ( before_on_line @ SV148 @ SY290 @ SY289 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(978,plain,
! [SV167: $i,SV148: $i] :
( ( ! [SY291: $i] :
( ! [SY292: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SY291 @ SY292 )
| ( before_on_line @ SV148 @ SV167 @ SY291 )
| ( before_on_line @ SV148 @ SY291 @ SV167 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(979,plain,
! [SV167: $i,SV148: $i] :
( ( ! [SY293: $i,SY294: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY293 @ SY294 )
| ( before_on_line @ SV148 @ SY294 @ SY293 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[954]) ).
thf(980,plain,
! [SV167: $i,SV148: $i] :
( ( ! [SY295: $i,SY296: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SY296 )
| ( before_on_line @ SV148 @ SY295 @ SV167 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[955]) ).
thf(981,plain,
! [SV219: $i,SV215: $i,SV167: $i,SV148: $i] :
( ( ( ~ ( before_on_line @ SV148 @ SV167 @ SV215 )
| ~ ( before_on_line @ SV148 @ SV215 @ SV219 ) )
= $true )
| ( ( between_on_line @ SV148 @ SV167 @ SV215 @ SV219 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(982,plain,
! [SV167: $i,SV216: $i,SV220: $i,SV148: $i] :
( ( ( ~ ( before_on_line @ SV148 @ SV220 @ SV216 )
| ~ ( before_on_line @ SV148 @ SV216 @ SV167 ) )
= $true )
| ( ( between_on_line @ SV148 @ SV167 @ SV216 @ SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(983,plain,
! [SV221: $i,SV149: $i] :
( ( ! [SY326: $i] :
( ~ ( divides_points @ SY326 @ SV149 @ SV221 )
| ( left_apart_point @ SV149 @ SY326 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY326 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(984,plain,
! [SV222: $i,SV149: $i] :
( ( ! [SY327: $i] :
( ~ ( divides_points @ SY327 @ SV149 @ SV222 )
| ( left_apart_point @ SV149 @ SY327 )
| ( left_apart_point @ SV222 @ SY327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(985,plain,
! [SV223: $i,SV149: $i] :
( ( ! [SY328: $i] :
( ~ ( divides_points @ SY328 @ SV149 @ SV223 )
| ( left_apart_point @ SV223 @ ( reverse_line @ SY328 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SY328 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(986,plain,
! [SV224: $i,SV149: $i] :
( ( ! [SY329: $i] :
( ~ ( divides_points @ SY329 @ SV149 @ SV224 )
| ( left_apart_point @ SV224 @ ( reverse_line @ SY329 ) )
| ( left_apart_point @ SV224 @ SY329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(987,plain,
! [SV208: $i,SV217: $i,SV149: $i] :
( ( ( ~ ( left_apart_point @ SV149 @ SV217 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV208 @ ( reverse_line @ SV217 ) ) )
= $true )
| ( ( divides_points @ SV217 @ SV149 @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[964]) ).
thf(988,plain,
! [SV209: $i,SV218: $i,SV149: $i] :
( ( ( ~ ( left_apart_point @ SV149 @ ( reverse_line @ SV218 ) ) )
= $true )
| ( ( ~ ( left_apart_point @ SV209 @ SV218 ) )
= $true )
| ( ( divides_points @ SV218 @ SV149 @ SV209 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(989,plain,
! [SV210: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ SV210 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV210 ) ) )
= $true )
| ( ( ! [SY320: $i] :
( ( unequally_directed_lines @ SV150 @ SY320 )
| ( unequally_directed_lines @ SV210 @ SY320 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(990,plain,
! [SV211: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ SV211 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV211 ) ) )
= $true )
| ( ( ! [SY321: $i] :
( ( unequally_directed_lines @ SV150 @ SY321 )
| ( unequally_directed_lines @ SV211 @ ( reverse_line @ SY321 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(991,plain,
! [SV212: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ SV212 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV212 ) ) )
= $true )
| ( ( ! [SY322: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY322 ) )
| ( unequally_directed_lines @ SV212 @ SY322 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(992,plain,
! [SV213: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ SV213 )
= $false )
| ( ( ~ ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV213 ) ) )
= $true )
| ( ( ! [SY323: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY323 ) )
| ( unequally_directed_lines @ SV213 @ ( reverse_line @ SY323 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(993,plain,
! [SV172: $i,SV162: $i,SV168: $i,SV142: $i] :
( ( ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
= $true )
| ( ( ( left_apart_point @ SV162 @ SV172 )
| ( left_apart_point @ SV142 @ SV172 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( distinct_lines @ SV168 @ SV172 )
= $false )
| ( ( distinct_points @ SV142 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(994,plain,
! [SV198: $i,SV147: $i,SV188: $i] :
( ( ( left_apart_point @ SV188 @ SV147 )
= $true )
| ( ( left_apart_point @ SV188 @ ( reverse_line @ SV147 ) )
= $true )
| ( ( distinct_points @ SV188 @ SV198 )
= $false )
| ( ( ( left_apart_point @ SV198 @ SV147 )
| ( left_apart_point @ SV198 @ ( reverse_line @ SV147 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV188 @ SV198 ) )
= $true )
| ( ( before_on_line @ SV147 @ SV188 @ SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(995,plain,
! [SV147: $i] :
( ( ~ ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(996,plain,
! [SV147: $i] :
( ( ~ ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(997,plain,
! [SV147: $i] :
( ( ~ ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[975]) ).
thf(998,plain,
! [SV147: $i] :
( ( ~ ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[975]) ).
thf(999,plain,
! [SV214: $i,SV205: $i,SV147: $i] :
( ( ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV205 @ SV214 ) )
= $false )
| ( ( before_on_line @ SV147 @ SV205 @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1000,plain,
! [SV225: $i,SV167: $i,SV148: $i] :
( ( ! [SY330: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SV225 @ SY330 )
| ( before_on_line @ SV148 @ SV167 @ SV225 )
| ( before_on_line @ SV148 @ SY330 @ SV225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1001,plain,
! [SV226: $i,SV167: $i,SV148: $i] :
( ( ! [SY331: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SV226 @ SY331 )
| ( before_on_line @ SV148 @ SV167 @ SV226 )
| ( before_on_line @ SV148 @ SV226 @ SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(1002,plain,
! [SV227: $i,SV167: $i,SV148: $i] :
( ( ! [SY332: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SV227 @ SY332 )
| ( before_on_line @ SV148 @ SV227 @ SY332 )
| ( before_on_line @ SV148 @ SY332 @ SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[979]) ).
thf(1003,plain,
! [SV228: $i,SV167: $i,SV148: $i] :
( ( ! [SY333: $i] :
( ~ ( between_on_line @ SV148 @ SV167 @ SV228 @ SY333 )
| ( before_on_line @ SV148 @ SV228 @ SY333 )
| ( before_on_line @ SV148 @ SV228 @ SV167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1004,plain,
! [SV219: $i,SV215: $i,SV167: $i,SV148: $i] :
( ( ( ~ ( before_on_line @ SV148 @ SV167 @ SV215 ) )
= $true )
| ( ( ~ ( before_on_line @ SV148 @ SV215 @ SV219 ) )
= $true )
| ( ( between_on_line @ SV148 @ SV167 @ SV215 @ SV219 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1005,plain,
! [SV167: $i,SV216: $i,SV220: $i,SV148: $i] :
( ( ( ~ ( before_on_line @ SV148 @ SV220 @ SV216 ) )
= $true )
| ( ( ~ ( before_on_line @ SV148 @ SV216 @ SV167 ) )
= $true )
| ( ( between_on_line @ SV148 @ SV167 @ SV216 @ SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1006,plain,
! [SV221: $i,SV149: $i,SV229: $i] :
( ( ~ ( divides_points @ SV229 @ SV149 @ SV221 )
| ( left_apart_point @ SV149 @ SV229 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SV229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1007,plain,
! [SV222: $i,SV149: $i,SV230: $i] :
( ( ~ ( divides_points @ SV230 @ SV149 @ SV222 )
| ( left_apart_point @ SV149 @ SV230 )
| ( left_apart_point @ SV222 @ SV230 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1008,plain,
! [SV223: $i,SV149: $i,SV231: $i] :
( ( ~ ( divides_points @ SV231 @ SV149 @ SV223 )
| ( left_apart_point @ SV223 @ ( reverse_line @ SV231 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SV231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1009,plain,
! [SV224: $i,SV149: $i,SV232: $i] :
( ( ~ ( divides_points @ SV232 @ SV149 @ SV224 )
| ( left_apart_point @ SV224 @ ( reverse_line @ SV232 ) )
| ( left_apart_point @ SV224 @ SV232 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1010,plain,
! [SV208: $i,SV217: $i,SV149: $i] :
( ( ( left_apart_point @ SV149 @ SV217 )
= $false )
| ( ( ~ ( left_apart_point @ SV208 @ ( reverse_line @ SV217 ) ) )
= $true )
| ( ( divides_points @ SV217 @ SV149 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1011,plain,
! [SV209: $i,SV218: $i,SV149: $i] :
( ( ( left_apart_point @ SV149 @ ( reverse_line @ SV218 ) )
= $false )
| ( ( ~ ( left_apart_point @ SV209 @ SV218 ) )
= $true )
| ( ( divides_points @ SV218 @ SV149 @ SV209 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1012,plain,
! [SV210: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV210 ) )
= $false )
| ( ( unequally_directed_lines @ SV150 @ SV210 )
= $false )
| ( ( ! [SY320: $i] :
( ( unequally_directed_lines @ SV150 @ SY320 )
| ( unequally_directed_lines @ SV210 @ SY320 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1013,plain,
! [SV211: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV211 ) )
= $false )
| ( ( unequally_directed_lines @ SV150 @ SV211 )
= $false )
| ( ( ! [SY321: $i] :
( ( unequally_directed_lines @ SV150 @ SY321 )
| ( unequally_directed_lines @ SV211 @ ( reverse_line @ SY321 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1014,plain,
! [SV212: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV212 ) )
= $false )
| ( ( unequally_directed_lines @ SV150 @ SV212 )
= $false )
| ( ( ! [SY322: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY322 ) )
| ( unequally_directed_lines @ SV212 @ SY322 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1015,plain,
! [SV213: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV213 ) )
= $false )
| ( ( unequally_directed_lines @ SV150 @ SV213 )
= $false )
| ( ( ! [SY323: $i] :
( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SY323 ) )
| ( unequally_directed_lines @ SV213 @ ( reverse_line @ SY323 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1016,plain,
! [SV168: $i,SV142: $i,SV172: $i,SV162: $i] :
( ( ( left_apart_point @ SV162 @ SV172 )
= $true )
| ( ( ( left_apart_point @ SV142 @ SV172 )
| ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( distinct_lines @ SV168 @ SV172 )
= $false )
| ( ( distinct_points @ SV142 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[993]) ).
thf(1017,plain,
! [SV188: $i,SV147: $i,SV198: $i] :
( ( ( left_apart_point @ SV198 @ SV147 )
= $true )
| ( ( left_apart_point @ SV198 @ ( reverse_line @ SV147 ) )
= $true )
| ( ( distinct_points @ SV188 @ SV198 )
= $false )
| ( ( left_apart_point @ SV188 @ ( reverse_line @ SV147 ) )
= $true )
| ( ( left_apart_point @ SV188 @ SV147 )
= $true )
| ( ( unequally_directed_lines @ SV147 @ ( line_connecting @ SV188 @ SV198 ) )
= $true )
| ( ( before_on_line @ SV147 @ SV188 @ SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1018,plain,
! [SV147: $i] :
( ( ! [SY235: $i,SY236: $i] :
( ~ ( before_on_line @ SV147 @ SY235 @ SY236 )
| ( distinct_points @ SY235 @ SY236 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1019,plain,
! [SV147: $i] :
( ( ~ ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1020,plain,
! [SV147: $i] :
( ( ! [SY241: $i,SY242: $i] :
( ~ ( before_on_line @ SV147 @ SY241 @ SY242 )
| ~ ( left_apart_point @ SY242 @ SV147 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1021,plain,
! [SV147: $i] :
( ( ! [SY243: $i,SY244: $i] :
( ~ ( before_on_line @ SV147 @ SY243 @ SY244 )
| ~ ( left_apart_point @ SY244 @ ( reverse_line @ SV147 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1022,plain,
! [SV233: $i,SV225: $i,SV167: $i,SV148: $i] :
( ( ~ ( between_on_line @ SV148 @ SV167 @ SV225 @ SV233 )
| ( before_on_line @ SV148 @ SV167 @ SV225 )
| ( before_on_line @ SV148 @ SV233 @ SV225 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1023,plain,
! [SV226: $i,SV167: $i,SV148: $i] :
( ( ( ! [SY331: $i] :
~ ( between_on_line @ SV148 @ SV167 @ SV226 @ SY331 ) )
= $true )
| ( ( ( before_on_line @ SV148 @ SV167 @ SV226 )
| ( before_on_line @ SV148 @ SV226 @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1024,plain,
! [SV234: $i,SV227: $i,SV167: $i,SV148: $i] :
( ( ~ ( between_on_line @ SV148 @ SV167 @ SV227 @ SV234 )
| ( before_on_line @ SV148 @ SV227 @ SV234 )
| ( before_on_line @ SV148 @ SV234 @ SV227 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1002]) ).
thf(1025,plain,
! [SV235: $i,SV228: $i,SV167: $i,SV148: $i] :
( ( ~ ( between_on_line @ SV148 @ SV167 @ SV228 @ SV235 )
| ( before_on_line @ SV148 @ SV228 @ SV235 )
| ( before_on_line @ SV148 @ SV228 @ SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1026,plain,
! [SV219: $i,SV215: $i,SV167: $i,SV148: $i] :
( ( ( before_on_line @ SV148 @ SV167 @ SV215 )
= $false )
| ( ( ~ ( before_on_line @ SV148 @ SV215 @ SV219 ) )
= $true )
| ( ( between_on_line @ SV148 @ SV167 @ SV215 @ SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1027,plain,
! [SV167: $i,SV216: $i,SV220: $i,SV148: $i] :
( ( ( before_on_line @ SV148 @ SV220 @ SV216 )
= $false )
| ( ( ~ ( before_on_line @ SV148 @ SV216 @ SV167 ) )
= $true )
| ( ( between_on_line @ SV148 @ SV167 @ SV216 @ SV220 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1028,plain,
! [SV221: $i,SV149: $i,SV229: $i] :
( ( ( ~ ( divides_points @ SV229 @ SV149 @ SV221 ) )
= $true )
| ( ( ( left_apart_point @ SV149 @ SV229 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SV229 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1029,plain,
! [SV222: $i,SV149: $i,SV230: $i] :
( ( ( ~ ( divides_points @ SV230 @ SV149 @ SV222 ) )
= $true )
| ( ( ( left_apart_point @ SV149 @ SV230 )
| ( left_apart_point @ SV222 @ SV230 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1030,plain,
! [SV223: $i,SV149: $i,SV231: $i] :
( ( ( ~ ( divides_points @ SV231 @ SV149 @ SV223 ) )
= $true )
| ( ( ( left_apart_point @ SV223 @ ( reverse_line @ SV231 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SV231 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1031,plain,
! [SV224: $i,SV149: $i,SV232: $i] :
( ( ( ~ ( divides_points @ SV232 @ SV149 @ SV224 ) )
= $true )
| ( ( ( left_apart_point @ SV224 @ ( reverse_line @ SV232 ) )
| ( left_apart_point @ SV224 @ SV232 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1009]) ).
thf(1032,plain,
! [SV149: $i,SV217: $i,SV208: $i] :
( ( ( left_apart_point @ SV208 @ ( reverse_line @ SV217 ) )
= $false )
| ( ( left_apart_point @ SV149 @ SV217 )
= $false )
| ( ( divides_points @ SV217 @ SV149 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1033,plain,
! [SV149: $i,SV218: $i,SV209: $i] :
( ( ( left_apart_point @ SV209 @ SV218 )
= $false )
| ( ( left_apart_point @ SV149 @ ( reverse_line @ SV218 ) )
= $false )
| ( ( divides_points @ SV218 @ SV149 @ SV209 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1034,plain,
! [SV210: $i,SV236: $i,SV150: $i] :
( ( ( ( unequally_directed_lines @ SV150 @ SV236 )
| ( unequally_directed_lines @ SV210 @ SV236 ) )
= $true )
| ( ( unequally_directed_lines @ SV150 @ SV210 )
= $false )
| ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV210 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1012]) ).
thf(1035,plain,
! [SV211: $i,SV237: $i,SV150: $i] :
( ( ( ( unequally_directed_lines @ SV150 @ SV237 )
| ( unequally_directed_lines @ SV211 @ ( reverse_line @ SV237 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV150 @ SV211 )
= $false )
| ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV211 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1013]) ).
thf(1036,plain,
! [SV212: $i,SV238: $i,SV150: $i] :
( ( ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV238 ) )
| ( unequally_directed_lines @ SV212 @ SV238 ) )
= $true )
| ( ( unequally_directed_lines @ SV150 @ SV212 )
= $false )
| ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV212 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1037,plain,
! [SV213: $i,SV239: $i,SV150: $i] :
( ( ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV239 ) )
| ( unequally_directed_lines @ SV213 @ ( reverse_line @ SV239 ) ) )
= $true )
| ( ( unequally_directed_lines @ SV150 @ SV213 )
= $false )
| ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV213 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1038,plain,
! [SV162: $i,SV168: $i,SV172: $i,SV142: $i] :
( ( ( left_apart_point @ SV142 @ SV172 )
= $true )
| ( ( ( left_apart_point @ SV142 @ SV168 )
| ( left_apart_point @ SV162 @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV162 @ SV172 )
= $true )
| ( ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( distinct_lines @ SV168 @ SV172 )
= $false )
| ( ( distinct_points @ SV142 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1039,plain,
! [SV240: $i,SV147: $i] :
( ( ! [SY334: $i] :
( ~ ( before_on_line @ SV147 @ SV240 @ SY334 )
| ( distinct_points @ SV240 @ SY334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1040,plain,
! [SV147: $i] :
( ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) )
| ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1041,plain,
! [SV241: $i,SV147: $i] :
( ( ! [SY335: $i] :
( ~ ( before_on_line @ SV147 @ SV241 @ SY335 )
| ~ ( left_apart_point @ SY335 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1042,plain,
! [SV242: $i,SV147: $i] :
( ( ! [SY336: $i] :
( ~ ( before_on_line @ SV147 @ SV242 @ SY336 )
| ~ ( left_apart_point @ SY336 @ ( reverse_line @ SV147 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1043,plain,
! [SV233: $i,SV225: $i,SV167: $i,SV148: $i] :
( ( ( ~ ( between_on_line @ SV148 @ SV167 @ SV225 @ SV233 ) )
= $true )
| ( ( ( before_on_line @ SV148 @ SV167 @ SV225 )
| ( before_on_line @ SV148 @ SV233 @ SV225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1044,plain,
! [SV243: $i,SV226: $i,SV167: $i,SV148: $i] :
( ( ( ~ ( between_on_line @ SV148 @ SV167 @ SV226 @ SV243 ) )
= $true )
| ( ( ( before_on_line @ SV148 @ SV167 @ SV226 )
| ( before_on_line @ SV148 @ SV226 @ SV167 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1045,plain,
! [SV234: $i,SV227: $i,SV167: $i,SV148: $i] :
( ( ( ~ ( between_on_line @ SV148 @ SV167 @ SV227 @ SV234 ) )
= $true )
| ( ( ( before_on_line @ SV148 @ SV227 @ SV234 )
| ( before_on_line @ SV148 @ SV234 @ SV227 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1046,plain,
! [SV235: $i,SV228: $i,SV167: $i,SV148: $i] :
( ( ( ~ ( between_on_line @ SV148 @ SV167 @ SV228 @ SV235 ) )
= $true )
| ( ( ( before_on_line @ SV148 @ SV228 @ SV235 )
| ( before_on_line @ SV148 @ SV228 @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1025]) ).
thf(1047,plain,
! [SV167: $i,SV219: $i,SV215: $i,SV148: $i] :
( ( ( before_on_line @ SV148 @ SV215 @ SV219 )
= $false )
| ( ( before_on_line @ SV148 @ SV167 @ SV215 )
= $false )
| ( ( between_on_line @ SV148 @ SV167 @ SV215 @ SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1048,plain,
! [SV220: $i,SV167: $i,SV216: $i,SV148: $i] :
( ( ( before_on_line @ SV148 @ SV216 @ SV167 )
= $false )
| ( ( before_on_line @ SV148 @ SV220 @ SV216 )
= $false )
| ( ( between_on_line @ SV148 @ SV167 @ SV216 @ SV220 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1049,plain,
! [SV221: $i,SV149: $i,SV229: $i] :
( ( ( divides_points @ SV229 @ SV149 @ SV221 )
= $false )
| ( ( ( left_apart_point @ SV149 @ SV229 )
| ( left_apart_point @ SV149 @ ( reverse_line @ SV229 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1050,plain,
! [SV222: $i,SV149: $i,SV230: $i] :
( ( ( divides_points @ SV230 @ SV149 @ SV222 )
= $false )
| ( ( ( left_apart_point @ SV149 @ SV230 )
| ( left_apart_point @ SV222 @ SV230 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1051,plain,
! [SV223: $i,SV149: $i,SV231: $i] :
( ( ( divides_points @ SV231 @ SV149 @ SV223 )
= $false )
| ( ( ( left_apart_point @ SV223 @ ( reverse_line @ SV231 ) )
| ( left_apart_point @ SV149 @ ( reverse_line @ SV231 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1052,plain,
! [SV224: $i,SV149: $i,SV232: $i] :
( ( ( divides_points @ SV232 @ SV149 @ SV224 )
= $false )
| ( ( ( left_apart_point @ SV224 @ ( reverse_line @ SV232 ) )
| ( left_apart_point @ SV224 @ SV232 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1053,plain,
! [SV210: $i,SV236: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ SV236 )
= $true )
| ( ( unequally_directed_lines @ SV210 @ SV236 )
= $true )
| ( ( unequally_directed_lines @ SV150 @ SV210 )
= $false )
| ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV210 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1054,plain,
! [SV211: $i,SV237: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ SV237 )
= $true )
| ( ( unequally_directed_lines @ SV211 @ ( reverse_line @ SV237 ) )
= $true )
| ( ( unequally_directed_lines @ SV150 @ SV211 )
= $false )
| ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV211 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1035]) ).
thf(1055,plain,
! [SV212: $i,SV238: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV238 ) )
= $true )
| ( ( unequally_directed_lines @ SV212 @ SV238 )
= $true )
| ( ( unequally_directed_lines @ SV150 @ SV212 )
= $false )
| ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV212 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1056,plain,
! [SV213: $i,SV239: $i,SV150: $i] :
( ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV239 ) )
= $true )
| ( ( unequally_directed_lines @ SV213 @ ( reverse_line @ SV239 ) )
= $true )
| ( ( unequally_directed_lines @ SV150 @ SV213 )
= $false )
| ( ( unequally_directed_lines @ SV150 @ ( reverse_line @ SV213 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1037]) ).
thf(1057,plain,
! [SV172: $i,SV162: $i,SV168: $i,SV142: $i] :
( ( ( left_apart_point @ SV142 @ SV168 )
= $true )
| ( ( left_apart_point @ SV162 @ SV168 )
= $true )
| ( ( left_apart_point @ SV142 @ SV172 )
= $true )
| ( ( left_apart_point @ SV162 @ SV172 )
= $true )
| ( ( left_apart_point @ SV142 @ ( reverse_line @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV162 @ ( reverse_line @ SV168 ) )
= $true )
| ( ( left_apart_point @ SV142 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( left_apart_point @ SV162 @ ( reverse_line @ SV172 ) )
= $true )
| ( ( distinct_lines @ SV168 @ SV172 )
= $false )
| ( ( distinct_points @ SV142 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1058,plain,
! [SV244: $i,SV240: $i,SV147: $i] :
( ( ~ ( before_on_line @ SV147 @ SV240 @ SV244 )
| ( distinct_points @ SV240 @ SV244 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1039]) ).
thf(1059,plain,
! [SV147: $i] :
( ( ~ ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1060,plain,
! [SV147: $i] :
( ( ~ ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1061,plain,
! [SV245: $i,SV241: $i,SV147: $i] :
( ( ~ ( before_on_line @ SV147 @ SV241 @ SV245 )
| ~ ( left_apart_point @ SV245 @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1041]) ).
thf(1062,plain,
! [SV246: $i,SV242: $i,SV147: $i] :
( ( ~ ( before_on_line @ SV147 @ SV242 @ SV246 )
| ~ ( left_apart_point @ SV246 @ ( reverse_line @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1042]) ).
thf(1063,plain,
! [SV233: $i,SV225: $i,SV167: $i,SV148: $i] :
( ( ( between_on_line @ SV148 @ SV167 @ SV225 @ SV233 )
= $false )
| ( ( ( before_on_line @ SV148 @ SV167 @ SV225 )
| ( before_on_line @ SV148 @ SV233 @ SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1064,plain,
! [SV243: $i,SV226: $i,SV167: $i,SV148: $i] :
( ( ( between_on_line @ SV148 @ SV167 @ SV226 @ SV243 )
= $false )
| ( ( ( before_on_line @ SV148 @ SV167 @ SV226 )
| ( before_on_line @ SV148 @ SV226 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1065,plain,
! [SV234: $i,SV227: $i,SV167: $i,SV148: $i] :
( ( ( between_on_line @ SV148 @ SV167 @ SV227 @ SV234 )
= $false )
| ( ( ( before_on_line @ SV148 @ SV227 @ SV234 )
| ( before_on_line @ SV148 @ SV234 @ SV227 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1066,plain,
! [SV235: $i,SV228: $i,SV167: $i,SV148: $i] :
( ( ( between_on_line @ SV148 @ SV167 @ SV228 @ SV235 )
= $false )
| ( ( ( before_on_line @ SV148 @ SV228 @ SV235 )
| ( before_on_line @ SV148 @ SV228 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1067,plain,
! [SV221: $i,SV229: $i,SV149: $i] :
( ( ( left_apart_point @ SV149 @ SV229 )
= $true )
| ( ( left_apart_point @ SV149 @ ( reverse_line @ SV229 ) )
= $true )
| ( ( divides_points @ SV229 @ SV149 @ SV221 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1068,plain,
! [SV222: $i,SV230: $i,SV149: $i] :
( ( ( left_apart_point @ SV149 @ SV230 )
= $true )
| ( ( left_apart_point @ SV222 @ SV230 )
= $true )
| ( ( divides_points @ SV230 @ SV149 @ SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1069,plain,
! [SV149: $i,SV231: $i,SV223: $i] :
( ( ( left_apart_point @ SV223 @ ( reverse_line @ SV231 ) )
= $true )
| ( ( left_apart_point @ SV149 @ ( reverse_line @ SV231 ) )
= $true )
| ( ( divides_points @ SV231 @ SV149 @ SV223 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1070,plain,
! [SV149: $i,SV232: $i,SV224: $i] :
( ( ( left_apart_point @ SV224 @ ( reverse_line @ SV232 ) )
= $true )
| ( ( left_apart_point @ SV224 @ SV232 )
= $true )
| ( ( divides_points @ SV232 @ SV149 @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1071,plain,
! [SV244: $i,SV240: $i,SV147: $i] :
( ( ( ~ ( before_on_line @ SV147 @ SV240 @ SV244 ) )
= $true )
| ( ( distinct_points @ SV240 @ SV244 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1072,plain,
! [SV147: $i] :
( ( ! [SY237: $i] :
( ! [SY238: $i] :
~ ( before_on_line @ SV147 @ SY237 @ SY238 )
| ~ ( left_apart_point @ SY237 @ SV147 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1073,plain,
! [SV147: $i] :
( ( ! [SY239: $i] :
( ! [SY240: $i] :
~ ( before_on_line @ SV147 @ SY239 @ SY240 )
| ~ ( left_apart_point @ SY239 @ ( reverse_line @ SV147 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1074,plain,
! [SV245: $i,SV241: $i,SV147: $i] :
( ( ( ~ ( before_on_line @ SV147 @ SV241 @ SV245 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV245 @ SV147 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1075,plain,
! [SV246: $i,SV242: $i,SV147: $i] :
( ( ( ~ ( before_on_line @ SV147 @ SV242 @ SV246 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV246 @ ( reverse_line @ SV147 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1076,plain,
! [SV233: $i,SV225: $i,SV167: $i,SV148: $i] :
( ( ( before_on_line @ SV148 @ SV167 @ SV225 )
= $true )
| ( ( before_on_line @ SV148 @ SV233 @ SV225 )
= $true )
| ( ( between_on_line @ SV148 @ SV167 @ SV225 @ SV233 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1077,plain,
! [SV243: $i,SV226: $i,SV167: $i,SV148: $i] :
( ( ( before_on_line @ SV148 @ SV167 @ SV226 )
= $true )
| ( ( before_on_line @ SV148 @ SV226 @ SV167 )
= $true )
| ( ( between_on_line @ SV148 @ SV167 @ SV226 @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1064]) ).
thf(1078,plain,
! [SV167: $i,SV234: $i,SV227: $i,SV148: $i] :
( ( ( before_on_line @ SV148 @ SV227 @ SV234 )
= $true )
| ( ( before_on_line @ SV148 @ SV234 @ SV227 )
= $true )
| ( ( between_on_line @ SV148 @ SV167 @ SV227 @ SV234 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1065]) ).
thf(1079,plain,
! [SV167: $i,SV235: $i,SV228: $i,SV148: $i] :
( ( ( before_on_line @ SV148 @ SV228 @ SV235 )
= $true )
| ( ( before_on_line @ SV148 @ SV228 @ SV167 )
= $true )
| ( ( between_on_line @ SV148 @ SV167 @ SV228 @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1080,plain,
! [SV244: $i,SV240: $i,SV147: $i] :
( ( ( before_on_line @ SV147 @ SV240 @ SV244 )
= $false )
| ( ( distinct_points @ SV240 @ SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1081,plain,
! [SV247: $i,SV147: $i] :
( ( ! [SY337: $i] :
~ ( before_on_line @ SV147 @ SV247 @ SY337 )
| ~ ( left_apart_point @ SV247 @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1082,plain,
! [SV248: $i,SV147: $i] :
( ( ! [SY338: $i] :
~ ( before_on_line @ SV147 @ SV248 @ SY338 )
| ~ ( left_apart_point @ SV248 @ ( reverse_line @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1083,plain,
! [SV245: $i,SV241: $i,SV147: $i] :
( ( ( before_on_line @ SV147 @ SV241 @ SV245 )
= $false )
| ( ( ~ ( left_apart_point @ SV245 @ SV147 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1084,plain,
! [SV246: $i,SV242: $i,SV147: $i] :
( ( ( before_on_line @ SV147 @ SV242 @ SV246 )
= $false )
| ( ( ~ ( left_apart_point @ SV246 @ ( reverse_line @ SV147 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1085,plain,
! [SV247: $i,SV147: $i] :
( ( ( ! [SY337: $i] :
~ ( before_on_line @ SV147 @ SV247 @ SY337 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV247 @ SV147 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1086,plain,
! [SV248: $i,SV147: $i] :
( ( ( ! [SY338: $i] :
~ ( before_on_line @ SV147 @ SV248 @ SY338 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV248 @ ( reverse_line @ SV147 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1087,plain,
! [SV241: $i,SV147: $i,SV245: $i] :
( ( ( left_apart_point @ SV245 @ SV147 )
= $false )
| ( ( before_on_line @ SV147 @ SV241 @ SV245 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1088,plain,
! [SV242: $i,SV147: $i,SV246: $i] :
( ( ( left_apart_point @ SV246 @ ( reverse_line @ SV147 ) )
= $false )
| ( ( before_on_line @ SV147 @ SV242 @ SV246 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1089,plain,
! [SV249: $i,SV247: $i,SV147: $i] :
( ( ( ~ ( before_on_line @ SV147 @ SV247 @ SV249 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV247 @ SV147 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1085]) ).
thf(1090,plain,
! [SV250: $i,SV248: $i,SV147: $i] :
( ( ( ~ ( before_on_line @ SV147 @ SV248 @ SV250 ) )
= $true )
| ( ( ~ ( left_apart_point @ SV248 @ ( reverse_line @ SV147 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1091,plain,
! [SV249: $i,SV247: $i,SV147: $i] :
( ( ( before_on_line @ SV147 @ SV247 @ SV249 )
= $false )
| ( ( ~ ( left_apart_point @ SV247 @ SV147 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1092,plain,
! [SV250: $i,SV248: $i,SV147: $i] :
( ( ( before_on_line @ SV147 @ SV248 @ SV250 )
= $false )
| ( ( ~ ( left_apart_point @ SV248 @ ( reverse_line @ SV147 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1093,plain,
! [SV249: $i,SV147: $i,SV247: $i] :
( ( ( left_apart_point @ SV247 @ SV147 )
= $false )
| ( ( before_on_line @ SV147 @ SV247 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1094,plain,
! [SV250: $i,SV147: $i,SV248: $i] :
( ( ( left_apart_point @ SV248 @ ( reverse_line @ SV147 ) )
= $false )
| ( ( before_on_line @ SV147 @ SV248 @ SV250 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1095,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[629,1094,1093,1088,1087,1080,1079,1078,1077,1076,1070,1069,1068,1067,1057,1056,1055,1054,1053,1048,1047,1033,1032,1017,999,971,970,959,958,947,946,944,929,899,898,892,891,890,887,856,855,852,851,835,834,827,825,822,817,816,815,722,721,720,719,687,678,676,674,663,630]) ).
thf(1096,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1095,597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO252+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 02:11:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.37
% 0.18/0.37 No.of.Axioms: 31
% 0.18/0.37
% 0.18/0.37 Length.of.Defs: 0
% 0.18/0.37
% 0.18/0.37 Contains.Choice.Funs: false
% 0.18/0.38 .
% 0.18/0.40 (rf:0,axioms:31,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:33,loop_count:0,foatp_calls:0,translation:fof_full)..........................................................................
% 0.56/0.77
% 0.56/0.77 ********************************
% 0.56/0.77 * All subproblems solved! *
% 0.56/0.77 ********************************
% 0.56/0.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:33,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1095,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.84/1.04
% 0.84/1.04 %**** Beginning of derivation protocol ****
% 0.84/1.04 % SZS output start CNFRefutation
% See solution above
% 0.84/1.04
% 0.84/1.04 %**** End of derivation protocol ****
% 0.84/1.04 %**** no. of clauses in derivation: 1096 ****
% 0.84/1.04 %**** clause counter: 1095 ****
% 0.84/1.04
% 0.84/1.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:33,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1095,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------