%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO118+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:17:58 AM UTC 2026
% Result : Theorem 3.95s 1.02s
% Output : CNFRefutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 28
% Syntax : Number of formulae : 848 ( 245 unt; 0 typ; 0 def)
% Number of atoms : 8280 (2452 equ; 0 cnn)
% Maximal formula atoms : 12 ( 9 avg)
% Number of connectives : 18310 (4531 ~;3213 |; 114 &;10335 @)
% ( 60 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 42 usr; 5 con; 0-5 aty)
% Number of variables : 2962 ( 0 ^;2920 !; 42 ?;2962 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_between_c,type,
between_c: $i > $i > $i > $i > $o ).
thf(tp_between_o,type,
between_o: $i > $i > $i > $i > $o ).
thf(tp_closed,type,
closed: $i > $o ).
thf(tp_end_point,type,
end_point: $i > $i > $o ).
thf(tp_finish_point,type,
finish_point: $i > $i > $o ).
thf(tp_incident_c,type,
incident_c: $i > $i > $o ).
thf(tp_incident_o,type,
incident_o: $i > $i > $o ).
thf(tp_inner_point,type,
inner_point: $i > $i > $o ).
thf(tp_meet,type,
meet: $i > $i > $i > $o ).
thf(tp_open,type,
open: $i > $o ).
thf(tp_ordered_by,type,
ordered_by: $i > $i > $i > $o ).
thf(tp_part_of,type,
part_of: $i > $i > $o ).
thf(tp_sK10_SY213,type,
sK10_SY213: $i > $i > $i ).
thf(tp_sK11_SY259,type,
sK11_SY259: $i > $i > $i ).
thf(tp_sK12_SY196,type,
sK12_SY196: $i > $i > $i ).
thf(tp_sK13_SY209,type,
sK13_SY209: $i > $i > $i ).
thf(tp_sK14_SY153,type,
sK14_SY153: $i > $i ).
thf(tp_sK15_SY240,type,
sK15_SY240: $i > $i > $i > $i ).
thf(tp_sK16_SY260,type,
sK16_SY260: $i > $i > $i ).
thf(tp_sK17_SY220,type,
sK17_SY220: $i > $i > $i > $i ).
thf(tp_sK18_SY166,type,
sK18_SY166: $i > $i ).
thf(tp_sK19_SY251,type,
sK19_SY251: $i > $i > $i > $i > $i ).
thf(tp_sK1_O,type,
sK1_O: $i ).
thf(tp_sK20_SY190,type,
sK20_SY190: $i > $i > $i ).
thf(tp_sK21_SY193,type,
sK21_SY193: $i > $i > $i ).
thf(tp_sK22_SY225,type,
sK22_SY225: $i > $i > $i ).
thf(tp_sK23_SY264,type,
sK23_SY264: $i > $i > $i ).
thf(tp_sK24_SY257,type,
sK24_SY257: $i > $i > $i > $i > $i ).
thf(tp_sK25_SY262,type,
sK25_SY262: $i > $i > $i > $i > $i > $i ).
thf(tp_sK26_SY244,type,
sK26_SY244: $i > $i > $i > $i ).
thf(tp_sK27_SY235,type,
sK27_SY235: $i > $i > $i > $i ).
thf(tp_sK2_SY97,type,
sK2_SY97: $i ).
thf(tp_sK3_SY99,type,
sK3_SY99: $i ).
thf(tp_sK4_SY126,type,
sK4_SY126: $i > $i ).
thf(tp_sK5_SY140,type,
sK5_SY140: $i > $i ).
thf(tp_sK6_SY145,type,
sK6_SY145: $i > $i ).
thf(tp_sK7_SY221,type,
sK7_SY221: $i > $i > $i ).
thf(tp_sK8_SY222,type,
sK8_SY222: $i > $i > $i ).
thf(tp_sK9_SY205,type,
sK9_SY205: $i > $i > $i ).
thf(tp_start_point,type,
start_point: $i > $i > $o ).
thf(tp_sum,type,
sum: $i > $i > $i ).
thf(tp_underlying_curve,type,
underlying_curve: $i > $i ).
thf(1,axiom,
! [C: $i,O: $i] :
( ( C
= ( underlying_curve @ O ) )
<=> ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',underlying_curve_defn) ).
thf(2,axiom,
! [O1: $i,O2: $i] :
( ! [P: $i,Q: $i] :
( ( ordered_by @ O1 @ P @ Q )
<=> ( ordered_by @ O2 @ P @ Q ) )
=> ( O1 = O2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o6) ).
thf(3,axiom,
! [P: $i,Q: $i,C: $i] :
( ( ( open @ C )
& ( P != Q )
& ( incident_c @ P @ C )
& ( incident_c @ Q @ C ) )
=> ? [O: $i] :
( ! [R: $i] :
( ( incident_o @ R @ O )
<=> ( incident_c @ R @ C ) )
& ( ordered_by @ O @ P @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o5) ).
thf(4,axiom,
! [O: $i] :
? [P: $i] : ( start_point @ P @ O ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o4) ).
thf(5,axiom,
! [P: $i,Q: $i,R: $i,O: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ? [C: $i] :
( ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) )
& ( between_c @ C @ P @ Q @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3) ).
thf(6,axiom,
! [O: $i] :
? [C: $i] :
( ( open @ C )
& ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2) ).
thf(7,axiom,
! [O: $i,P: $i,Q: $i] :
( ( ordered_by @ O @ P @ Q )
=> ( ( incident_o @ P @ O )
& ( incident_o @ Q @ O ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1) ).
thf(8,axiom,
! [P: $i,O: $i] :
( ( finish_point @ P @ O )
<=> ( ( incident_o @ P @ O )
& ! [Q: $i] :
( ( ( P != Q )
& ( incident_o @ Q @ O ) )
=> ( ordered_by @ O @ Q @ P ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn) ).
thf(9,axiom,
! [P: $i,O: $i] :
( ( start_point @ P @ O )
<=> ( ( incident_o @ P @ O )
& ! [Q: $i] :
( ( ( P != Q )
& ( incident_o @ Q @ O ) )
=> ( ordered_by @ O @ P @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn) ).
thf(10,axiom,
! [O: $i,P: $i,Q: $i,R: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ( ( ( ordered_by @ O @ P @ Q )
& ( ordered_by @ O @ Q @ R ) )
| ( ( ordered_by @ O @ R @ Q )
& ( ordered_by @ O @ Q @ P ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn) ).
thf(11,axiom,
! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
<=> ( ( P != R )
& ? [Cpp: $i] :
( ( part_of @ Cpp @ C )
& ( end_point @ P @ Cpp )
& ( end_point @ R @ Cpp )
& ( inner_point @ Q @ Cpp ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn) ).
thf(12,axiom,
! [C: $i,C1: $i] :
( ! [P: $i] :
( ( incident_c @ P @ C )
<=> ( incident_c @ P @ C1 ) )
=> ( C = C1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
thf(13,axiom,
! [C1: $i,C2: $i] :
( ? [P: $i] : ( meet @ P @ C1 @ C2 )
=> ? [C: $i] :
( C
= ( sum @ C1 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).
thf(14,axiom,
! [C: $i,C1: $i,C2: $i,P: $i] :
( ( ( closed @ C )
& ( meet @ P @ C1 @ C2 )
& ( C
= ( sum @ C1 @ C2 ) ) )
=> ! [Q: $i] :
( ( end_point @ Q @ C1 )
=> ( meet @ Q @ C1 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).
thf(15,axiom,
! [C: $i,P: $i] :
( ( end_point @ P @ C )
=> ? [Q: $i] :
( ( end_point @ Q @ C )
& ( P != Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
thf(16,axiom,
! [C: $i,P: $i,Q: $i,R: $i] :
( ( ( end_point @ P @ C )
& ( end_point @ Q @ C )
& ( end_point @ R @ C ) )
=> ( ( P = Q )
| ( P = R )
| ( Q = R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
thf(17,axiom,
! [C: $i,P: $i] :
( ( inner_point @ P @ C )
=> ? [C1: $i,C2: $i] :
( ( meet @ P @ C1 @ C2 )
& ( C
= ( sum @ C1 @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
thf(18,axiom,
! [C: $i] :
? [P: $i] : ( inner_point @ P @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
thf(19,axiom,
! [C: $i,C1: $i,C2: $i,C3: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( part_of @ C3 @ C )
& ? [P: $i] :
( ( end_point @ P @ C1 )
& ( end_point @ P @ C2 )
& ( end_point @ P @ C3 ) ) )
=> ( ( part_of @ C2 @ C3 )
| ( part_of @ C3 @ C2 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 )
| ( part_of @ C1 @ C3 )
| ( part_of @ C3 @ C1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
thf(20,axiom,
! [C: $i,C1: $i] :
( ( ( part_of @ C1 @ C )
& ( C1 != C ) )
=> ( open @ C1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
thf(21,axiom,
! [C: $i] :
( ( open @ C )
<=> ? [P: $i] : ( end_point @ P @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn) ).
thf(22,axiom,
! [C: $i] :
( ( closed @ C )
<=> ~ ? [P: $i] : ( end_point @ P @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn) ).
thf(23,axiom,
! [P: $i,C: $i,C1: $i] :
( ( meet @ P @ C @ C1 )
<=> ( ( incident_c @ P @ C )
& ( incident_c @ P @ C1 )
& ! [Q: $i] :
( ( ( incident_c @ Q @ C )
& ( incident_c @ Q @ C1 ) )
=> ( ( end_point @ Q @ C )
& ( end_point @ Q @ C1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn) ).
thf(24,axiom,
! [P: $i,C: $i] :
( ( inner_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ~ ( end_point @ P @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn) ).
thf(25,axiom,
! [P: $i,C: $i] :
( ( end_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ! [C1: $i,C2: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( incident_c @ P @ C1 )
& ( incident_c @ P @ C2 ) )
=> ( ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn) ).
thf(26,axiom,
! [C: $i,C1: $i,C2: $i] :
( ( C
= ( sum @ C1 @ C2 ) )
<=> ! [Q: $i] :
( ( incident_c @ Q @ C )
<=> ( ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn) ).
thf(27,axiom,
! [C: $i,C1: $i] :
( ( part_of @ C1 @ C )
<=> ! [P: $i] :
( ( incident_c @ P @ C1 )
=> ( incident_c @ P @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
thf(28,conjecture,
! [O: $i,P: $i,Q: $i] :
( ( ordered_by @ O @ P @ Q )
=> ~ ( ordered_by @ O @ Q @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_5) ).
thf(29,negated_conjecture,
( ( ! [O: $i,P: $i,Q: $i] :
( ( ordered_by @ O @ P @ Q )
=> ~ ( ordered_by @ O @ Q @ P ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[28]) ).
thf(30,plain,
( ( ! [O: $i,P: $i,Q: $i] :
( ( ordered_by @ O @ P @ Q )
=> ~ ( ordered_by @ O @ Q @ P ) ) )
= $false ),
inference(unfold_def,[status(thm)],[29]) ).
thf(31,plain,
( ( ! [C: $i,O: $i] :
( ( C
= ( underlying_curve @ O ) )
<=> ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(32,plain,
( ( ! [O1: $i,O2: $i] :
( ! [P: $i,Q: $i] :
( ( ordered_by @ O1 @ P @ Q )
<=> ( ordered_by @ O2 @ P @ Q ) )
=> ( O1 = O2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(33,plain,
( ( ! [P: $i,Q: $i,C: $i] :
( ( ( open @ C )
& ( P != Q )
& ( incident_c @ P @ C )
& ( incident_c @ Q @ C ) )
=> ? [O: $i] :
( ! [R: $i] :
( ( incident_o @ R @ O )
<=> ( incident_c @ R @ C ) )
& ( ordered_by @ O @ P @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(34,plain,
( ( ! [O: $i] :
? [P: $i] : ( start_point @ P @ O ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(35,plain,
( ( ! [P: $i,Q: $i,R: $i,O: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ? [C: $i] :
( ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) )
& ( between_c @ C @ P @ Q @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(36,plain,
( ( ! [O: $i] :
? [C: $i] :
( ( open @ C )
& ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(37,plain,
( ( ! [O: $i,P: $i,Q: $i] :
( ( ordered_by @ O @ P @ Q )
=> ( ( incident_o @ P @ O )
& ( incident_o @ Q @ O ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(38,plain,
( ( ! [P: $i,O: $i] :
( ( finish_point @ P @ O )
<=> ( ( incident_o @ P @ O )
& ! [Q: $i] :
( ( ( P != Q )
& ( incident_o @ Q @ O ) )
=> ( ordered_by @ O @ Q @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(39,plain,
( ( ! [P: $i,O: $i] :
( ( start_point @ P @ O )
<=> ( ( incident_o @ P @ O )
& ! [Q: $i] :
( ( ( P != Q )
& ( incident_o @ Q @ O ) )
=> ( ordered_by @ O @ P @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(40,plain,
( ( ! [O: $i,P: $i,Q: $i,R: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ( ( ( ordered_by @ O @ P @ Q )
& ( ordered_by @ O @ Q @ R ) )
| ( ( ordered_by @ O @ R @ Q )
& ( ordered_by @ O @ Q @ P ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(41,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
<=> ( ( P != R )
& ? [Cpp: $i] :
( ( part_of @ Cpp @ C )
& ( end_point @ P @ Cpp )
& ( end_point @ R @ Cpp )
& ( inner_point @ Q @ Cpp ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(42,plain,
( ( ! [C: $i,C1: $i] :
( ! [P: $i] :
( ( incident_c @ P @ C )
<=> ( incident_c @ P @ C1 ) )
=> ( C = C1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(43,plain,
( ( ! [C1: $i,C2: $i] :
( ? [P: $i] : ( meet @ P @ C1 @ C2 )
=> ? [C: $i] :
( C
= ( sum @ C1 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(44,plain,
( ( ! [C: $i,C1: $i,C2: $i,P: $i] :
( ( ( closed @ C )
& ( meet @ P @ C1 @ C2 )
& ( C
= ( sum @ C1 @ C2 ) ) )
=> ! [Q: $i] :
( ( end_point @ Q @ C1 )
=> ( meet @ Q @ C1 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(45,plain,
( ( ! [C: $i,P: $i] :
( ( end_point @ P @ C )
=> ? [Q: $i] :
( ( end_point @ Q @ C )
& ( P != Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(46,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ( ( end_point @ P @ C )
& ( end_point @ Q @ C )
& ( end_point @ R @ C ) )
=> ( ( P = Q )
| ( P = R )
| ( Q = R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(47,plain,
( ( ! [C: $i,P: $i] :
( ( inner_point @ P @ C )
=> ? [C1: $i,C2: $i] :
( ( meet @ P @ C1 @ C2 )
& ( C
= ( sum @ C1 @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(48,plain,
( ( ! [C: $i] :
? [P: $i] : ( inner_point @ P @ C ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(49,plain,
( ( ! [C: $i,C1: $i,C2: $i,C3: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( part_of @ C3 @ C )
& ? [P: $i] :
( ( end_point @ P @ C1 )
& ( end_point @ P @ C2 )
& ( end_point @ P @ C3 ) ) )
=> ( ( part_of @ C2 @ C3 )
| ( part_of @ C3 @ C2 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 )
| ( part_of @ C1 @ C3 )
| ( part_of @ C3 @ C1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(50,plain,
( ( ! [C: $i,C1: $i] :
( ( ( part_of @ C1 @ C )
& ( C1 != C ) )
=> ( open @ C1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(51,plain,
( ( ! [C: $i] :
( ( open @ C )
<=> ? [P: $i] : ( end_point @ P @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(52,plain,
( ( ! [C: $i] :
( ( closed @ C )
<=> ~ ? [P: $i] : ( end_point @ P @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(53,plain,
( ( ! [P: $i,C: $i,C1: $i] :
( ( meet @ P @ C @ C1 )
<=> ( ( incident_c @ P @ C )
& ( incident_c @ P @ C1 )
& ! [Q: $i] :
( ( ( incident_c @ Q @ C )
& ( incident_c @ Q @ C1 ) )
=> ( ( end_point @ Q @ C )
& ( end_point @ Q @ C1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(54,plain,
( ( ! [P: $i,C: $i] :
( ( inner_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ~ ( end_point @ P @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(55,plain,
( ( ! [P: $i,C: $i] :
( ( end_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ! [C1: $i,C2: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( incident_c @ P @ C1 )
& ( incident_c @ P @ C2 ) )
=> ( ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(56,plain,
( ( ! [C: $i,C1: $i,C2: $i] :
( ( C
= ( sum @ C1 @ C2 ) )
<=> ! [Q: $i] :
( ( incident_c @ Q @ C )
<=> ( ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(57,plain,
( ( ! [C: $i,C1: $i] :
( ( part_of @ C1 @ C )
<=> ! [P: $i] :
( ( incident_c @ P @ C1 )
=> ( incident_c @ P @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(58,plain,
( ( ! [SY97: $i,SY98: $i] :
( ( ordered_by @ sK1_O @ SY97 @ SY98 )
=> ~ ( ordered_by @ sK1_O @ SY98 @ SY97 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[30]) ).
thf(59,plain,
( ( ! [SY99: $i] :
( ( ordered_by @ sK1_O @ sK2_SY97 @ SY99 )
=> ~ ( ordered_by @ sK1_O @ SY99 @ sK2_SY97 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[58]) ).
thf(60,plain,
( ( ( ordered_by @ sK1_O @ sK2_SY97 @ sK3_SY99 )
=> ~ ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[59]) ).
thf(61,plain,
( ( ordered_by @ sK1_O @ sK2_SY97 @ sK3_SY99 )
= $true ),
inference(standard_cnf,[status(thm)],[60]) ).
thf(62,plain,
( ( ~ ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 ) )
= $false ),
inference(standard_cnf,[status(thm)],[60]) ).
thf(63,plain,
( ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 )
= $true ),
inference(polarity_switch,[status(thm)],[62]) ).
thf(64,plain,
( ( ! [C: $i,C1: $i] :
( ( part_of @ C1 @ C )
<=> ! [P: $i] :
( ( incident_c @ P @ C1 )
=> ( incident_c @ P @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(65,plain,
( ( ! [C: $i,C1: $i,C2: $i] :
( ( C
= ( sum @ C1 @ C2 ) )
<=> ! [Q: $i] :
( ( incident_c @ Q @ C )
<=> ( ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(66,plain,
( ( ! [P: $i,C: $i] :
( ( end_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ! [C1: $i,C2: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( incident_c @ P @ C1 )
& ( incident_c @ P @ C2 ) )
=> ( ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(67,plain,
( ( ! [P: $i,C: $i] :
( ( inner_point @ P @ C )
<=> ( ( incident_c @ P @ C )
& ~ ( end_point @ P @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(68,plain,
( ( ! [P: $i,C: $i,C1: $i] :
( ( meet @ P @ C @ C1 )
<=> ( ( incident_c @ P @ C )
& ( incident_c @ P @ C1 )
& ! [Q: $i] :
( ( ( incident_c @ Q @ C )
& ( incident_c @ Q @ C1 ) )
=> ( ( end_point @ Q @ C )
& ( end_point @ Q @ C1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(69,plain,
( ( ! [C: $i] :
( ( closed @ C )
<=> ~ ? [P: $i] : ( end_point @ P @ C ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(70,plain,
( ( ! [C: $i] :
( ( open @ C )
<=> ? [P: $i] : ( end_point @ P @ C ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(71,plain,
( ( ! [C: $i,C1: $i] :
( ( ( part_of @ C1 @ C )
& ( C1 != C ) )
=> ( open @ C1 ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(72,plain,
( ( ! [C: $i,C1: $i,C2: $i,C3: $i] :
( ( ( part_of @ C1 @ C )
& ( part_of @ C2 @ C )
& ( part_of @ C3 @ C )
& ? [P: $i] :
( ( end_point @ P @ C1 )
& ( end_point @ P @ C2 )
& ( end_point @ P @ C3 ) ) )
=> ( ( part_of @ C2 @ C3 )
| ( part_of @ C3 @ C2 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C1 )
| ( part_of @ C1 @ C3 )
| ( part_of @ C3 @ C1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(73,plain,
( ( ! [C: $i] :
? [P: $i] : ( inner_point @ P @ C ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(74,plain,
( ( ! [C: $i,P: $i] :
( ( inner_point @ P @ C )
=> ? [C1: $i,C2: $i] :
( ( meet @ P @ C1 @ C2 )
& ( C
= ( sum @ C1 @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(75,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ( ( end_point @ P @ C )
& ( end_point @ Q @ C )
& ( end_point @ R @ C ) )
=> ( ( P = Q )
| ( P = R )
| ( Q = R ) ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(76,plain,
( ( ! [C: $i,P: $i] :
( ( end_point @ P @ C )
=> ? [Q: $i] :
( ( end_point @ Q @ C )
& ( P != Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(77,plain,
( ( ! [C: $i,C1: $i,C2: $i,P: $i] :
( ( ( closed @ C )
& ( meet @ P @ C1 @ C2 )
& ( C
= ( sum @ C1 @ C2 ) ) )
=> ! [Q: $i] :
( ( end_point @ Q @ C1 )
=> ( meet @ Q @ C1 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(78,plain,
( ( ! [C1: $i,C2: $i] :
( ? [P: $i] : ( meet @ P @ C1 @ C2 )
=> ? [C: $i] :
( C
= ( sum @ C1 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(79,plain,
( ( ! [C: $i,C1: $i] :
( ! [P: $i] :
( ( incident_c @ P @ C )
<=> ( incident_c @ P @ C1 ) )
=> ( C = C1 ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(80,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ( between_c @ C @ P @ Q @ R )
<=> ( ( P != R )
& ? [Cpp: $i] :
( ( part_of @ Cpp @ C )
& ( end_point @ P @ Cpp )
& ( end_point @ R @ Cpp )
& ( inner_point @ Q @ Cpp ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(81,plain,
( ( ! [O: $i,P: $i,Q: $i,R: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ( ( ( ordered_by @ O @ P @ Q )
& ( ordered_by @ O @ Q @ R ) )
| ( ( ordered_by @ O @ R @ Q )
& ( ordered_by @ O @ Q @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(82,plain,
( ( ! [P: $i,O: $i] :
( ( start_point @ P @ O )
<=> ( ( incident_o @ P @ O )
& ! [Q: $i] :
( ( ( P != Q )
& ( incident_o @ Q @ O ) )
=> ( ordered_by @ O @ P @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(83,plain,
( ( ! [P: $i,O: $i] :
( ( finish_point @ P @ O )
<=> ( ( incident_o @ P @ O )
& ! [Q: $i] :
( ( ( P != Q )
& ( incident_o @ Q @ O ) )
=> ( ordered_by @ O @ Q @ P ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(84,plain,
( ( ! [O: $i,P: $i,Q: $i] :
( ( ordered_by @ O @ P @ Q )
=> ( ( incident_o @ P @ O )
& ( incident_o @ Q @ O ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(85,plain,
( ( ! [O: $i] :
? [C: $i] :
( ( open @ C )
& ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(86,plain,
( ( ! [P: $i,Q: $i,R: $i,O: $i] :
( ( between_o @ O @ P @ Q @ R )
<=> ? [C: $i] :
( ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) )
& ( between_c @ C @ P @ Q @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(87,plain,
( ( ! [O: $i] :
? [P: $i] : ( start_point @ P @ O ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(88,plain,
( ( ! [P: $i,Q: $i,C: $i] :
( ( ( open @ C )
& ( P != Q )
& ( incident_c @ P @ C )
& ( incident_c @ Q @ C ) )
=> ? [O: $i] :
( ! [R: $i] :
( ( incident_o @ R @ O )
<=> ( incident_c @ R @ C ) )
& ( ordered_by @ O @ P @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(89,plain,
( ( ! [O1: $i,O2: $i] :
( ! [P: $i,Q: $i] :
( ( ordered_by @ O1 @ P @ Q )
<=> ( ordered_by @ O2 @ P @ Q ) )
=> ( O1 = O2 ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(90,plain,
( ( ! [C: $i,O: $i] :
( ( C
= ( underlying_curve @ O ) )
<=> ! [P: $i] :
( ( incident_o @ P @ O )
<=> ( incident_c @ P @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(91,plain,
( ( ordered_by @ sK1_O @ sK2_SY97 @ sK3_SY99 )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(92,plain,
( ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(93,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( between_o @ SX3 @ SX0 @ SX1 @ SX2 )
| ~ ! [SX4: $i] :
~ ~ ( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( incident_o @ SX5 @ SX3 )
| ( incident_c @ SX5 @ SX4 ) )
| ~ ( ~ ( incident_c @ SX5 @ SX4 )
| ( incident_o @ SX5 @ SX3 ) ) )
| ~ ( between_c @ SX4 @ SX0 @ SX1 @ SX2 ) ) )
| ~ ( ~ ~ ! [SX4: $i] :
~ ~ ( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( incident_o @ SX5 @ SX3 )
| ( incident_c @ SX5 @ SX4 ) )
| ~ ( ~ ( incident_c @ SX5 @ SX4 )
| ( incident_o @ SX5 @ SX3 ) ) )
| ~ ( between_c @ SX4 @ SX0 @ SX1 @ SX2 ) )
| ( between_o @ SX3 @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(94,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( open @ SX2 )
| ~ ( ( SX0 != SX1 ) ) )
| ~ ( incident_c @ SX0 @ SX2 ) )
| ~ ( incident_c @ SX1 @ SX2 ) )
| ~ ! [SX3: $i] :
~ ~ ( ~ ! [SX4: $i] :
~ ( ~ ( ~ ( incident_o @ SX4 @ SX3 )
| ( incident_c @ SX4 @ SX2 ) )
| ~ ( ~ ( incident_c @ SX4 @ SX2 )
| ( incident_o @ SX4 @ SX3 ) ) )
| ~ ( ordered_by @ SX3 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(95,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( finish_point @ SX0 @ SX1 )
| ~ ( ~ ( incident_o @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ~ ( incident_o @ SX2 @ SX1 ) )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_o @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ~ ( incident_o @ SX2 @ SX1 ) )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ( finish_point @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(96,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( end_point @ SX0 @ SX1 )
| ~ ( ~ ( incident_c @ SX0 @ SX1 )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SX2 @ SX1 )
| ~ ( part_of @ SX3 @ SX1 ) )
| ~ ( incident_c @ SX0 @ SX2 ) )
| ~ ( incident_c @ SX0 @ SX3 ) )
| ( part_of @ SX2 @ SX3 )
| ( part_of @ SX3 @ SX2 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_c @ SX0 @ SX1 )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SX2 @ SX1 )
| ~ ( part_of @ SX3 @ SX1 ) )
| ~ ( incident_c @ SX0 @ SX2 ) )
| ~ ( incident_c @ SX0 @ SX3 ) )
| ( part_of @ SX2 @ SX3 )
| ( part_of @ SX3 @ SX2 ) ) )
| ( end_point @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(97,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(98,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SX1 @ SX0 )
| ~ ( part_of @ SX2 @ SX0 ) )
| ~ ( part_of @ SX3 @ SX0 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SX4 @ SX1 )
| ~ ( end_point @ SX4 @ SX2 ) )
| ~ ( end_point @ SX4 @ SX3 ) ) )
| ( part_of @ SX2 @ SX3 )
| ( part_of @ SX3 @ SX2 )
| ( part_of @ SX1 @ SX2 )
| ( part_of @ SX2 @ SX1 )
| ( part_of @ SX1 @ SX3 )
| ( part_of @ SX3 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(99,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( inner_point @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(100,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ! [SX3: $i] :
~ ( ~ ( ~ ( incident_c @ SX3 @ SX0 )
| ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX2 ) )
| ~ ( ~ ( ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX2 ) )
| ( incident_c @ SX3 @ SX0 ) ) ) )
| ~ ( ~ ! [SX3: $i] :
~ ( ~ ( ~ ( incident_c @ SX3 @ SX0 )
| ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX2 ) )
| ~ ( ~ ( ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX2 ) )
| ( incident_c @ SX3 @ SX0 ) ) )
| ( SX0
= ( sum @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(101,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( part_of @ SX1 @ SX0 )
| ~ ( ( SX1 != SX0 ) ) )
| ( open @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(102,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ( end_point @ SX1 @ SX0 )
| ~ ( end_point @ SX2 @ SX0 ) )
| ~ ( end_point @ SX3 @ SX0 ) )
| ( SX1 = SX2 )
| ( SX1 = SX3 )
| ( SX2 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(103,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ( meet @ SX1 @ SX2 @ SX3 )
| ( SX0
!= ( sum @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(104,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ( incident_o @ SX1 @ SX0 )
| ~ ( incident_o @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(105,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( start_point @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(106,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( ~ ( incident_c @ SX0 @ SX1 )
| ~ ~ ( end_point @ SX0 @ SX1 ) ) )
| ~ ( ~ ~ ( ~ ( incident_c @ SX0 @ SX1 )
| ~ ~ ( end_point @ SX0 @ SX1 ) )
| ( inner_point @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(107,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( SX0
!= ( underlying_curve @ SX1 ) )
| ! [SX2: $i] :
~ ( ~ ( ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) )
| ~ ( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) ) ) )
| ~ ( ~ ! [SX2: $i] :
~ ( ~ ( ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) )
| ~ ( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) ) )
| ( SX0
= ( underlying_curve @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(108,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ~ ( ~ ( open @ SX1 )
| ~ ! [SX2: $i] :
~ ( ~ ( ~ ( incident_o @ SX2 @ SX0 )
| ( incident_c @ SX2 @ SX1 ) )
| ~ ( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_o @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(109,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( meet @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ( incident_c @ SX0 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 ) )
| ~ ! [SX3: $i] :
( ~ ~ ( ~ ( incident_c @ SX3 @ SX1 )
| ~ ( incident_c @ SX3 @ SX2 ) )
| ~ ( ~ ( end_point @ SX3 @ SX1 )
| ~ ( end_point @ SX3 @ SX2 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( incident_c @ SX0 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 ) )
| ~ ! [SX3: $i] :
( ~ ~ ( ~ ( incident_c @ SX3 @ SX1 )
| ~ ( incident_c @ SX3 @ SX2 ) )
| ~ ( ~ ( end_point @ SX3 @ SX1 )
| ~ ( end_point @ SX3 @ SX2 ) ) ) )
| ( meet @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(110,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( end_point @ SX2 @ SX0 )
| ~ ( ( SX1 != SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(111,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( open @ SX0 )
| ~ ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(112,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ( closed @ SX0 )
| ~ ( meet @ SX3 @ SX1 @ SX2 ) )
| ( SX0
!= ( sum @ SX1 @ SX2 ) ) )
| ! [SX4: $i] :
( ~ ( end_point @ SX4 @ SX1 )
| ( meet @ SX4 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(113,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX3 ) )
| ~ ( ~ ( ordered_by @ SX0 @ SX3 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX1 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX3 ) )
| ~ ( ~ ( ordered_by @ SX0 @ SX3 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX1 ) ) )
| ( between_o @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(114,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ! [SX2: $i] :
~ ( meet @ SX2 @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( SX2
!= ( sum @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(115,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( closed @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( closed @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(116,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i] :
~ ( ~ ( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_c @ SX2 @ SX1 ) )
| ~ ( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(117,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( ordered_by @ SX0 @ SX2 @ SX3 )
| ( ordered_by @ SX1 @ SX2 @ SX3 ) )
| ~ ( ~ ( ordered_by @ SX1 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX2 @ SX3 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(118,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( start_point @ SX0 @ SX1 )
| ~ ( ~ ( incident_o @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ~ ( incident_o @ SX2 @ SX1 ) )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_o @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ~ ( ~ ( ( SX0 != SX2 ) )
| ~ ( incident_o @ SX2 @ SX1 ) )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ( start_point @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(119,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ( ( SX1 != SX3 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SX4 @ SX0 )
| ~ ( end_point @ SX1 @ SX4 ) )
| ~ ( end_point @ SX3 @ SX4 ) )
| ~ ( inner_point @ SX2 @ SX4 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SX1 != SX3 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SX4 @ SX0 )
| ~ ( end_point @ SX1 @ SX4 ) )
| ~ ( end_point @ SX3 @ SX4 ) )
| ~ ( inner_point @ SX2 @ SX4 ) ) )
| ( between_c @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(120,plain,
! [SV1: $i] :
( ( ! [SY100: $i,SY101: $i,SY102: $i] :
~ ( ~ ( ~ ( between_o @ SY102 @ SV1 @ SY100 @ SY101 )
| ~ ! [SY103: $i] :
~ ~ ( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( incident_o @ SX5 @ SY102 )
| ( incident_c @ SX5 @ SY103 ) )
| ~ ( ~ ( incident_c @ SX5 @ SY103 )
| ( incident_o @ SX5 @ SY102 ) ) )
| ~ ( between_c @ SY103 @ SV1 @ SY100 @ SY101 ) ) )
| ~ ( ~ ~ ! [SY105: $i] :
~ ~ ( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( incident_o @ SX5 @ SY102 )
| ( incident_c @ SX5 @ SY105 ) )
| ~ ( ~ ( incident_c @ SX5 @ SY105 )
| ( incident_o @ SX5 @ SY102 ) ) )
| ~ ( between_c @ SY105 @ SV1 @ SY100 @ SY101 ) )
| ( between_o @ SY102 @ SV1 @ SY100 @ SY101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(121,plain,
! [SV2: $i] :
( ( ! [SY107: $i,SY108: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( open @ SY108 )
| ~ ( ( SV2 != SY107 ) ) )
| ~ ( incident_c @ SV2 @ SY108 ) )
| ~ ( incident_c @ SY107 @ SY108 ) )
| ~ ! [SY109: $i] :
~ ~ ( ~ ! [SX4: $i] :
~ ( ~ ( ~ ( incident_o @ SX4 @ SY109 )
| ( incident_c @ SX4 @ SY108 ) )
| ~ ( ~ ( incident_c @ SX4 @ SY108 )
| ( incident_o @ SX4 @ SY109 ) ) )
| ~ ( ordered_by @ SY109 @ SV2 @ SY107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(122,plain,
! [SV3: $i] :
( ( ! [SY111: $i] :
~ ( ~ ( ~ ( finish_point @ SV3 @ SY111 )
| ~ ( ~ ( incident_o @ SV3 @ SY111 )
| ~ ! [SY112: $i] :
( ~ ~ ( ~ ( ( SV3 != SY112 ) )
| ~ ( incident_o @ SY112 @ SY111 ) )
| ( ordered_by @ SY111 @ SY112 @ SV3 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_o @ SV3 @ SY111 )
| ~ ! [SY113: $i] :
( ~ ~ ( ~ ( ( SV3 != SY113 ) )
| ~ ( incident_o @ SY113 @ SY111 ) )
| ( ordered_by @ SY111 @ SY113 @ SV3 ) ) )
| ( finish_point @ SV3 @ SY111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(123,plain,
! [SV4: $i] :
( ( ! [SY114: $i] :
~ ( ~ ( ~ ( end_point @ SV4 @ SY114 )
| ~ ( ~ ( incident_c @ SV4 @ SY114 )
| ~ ! [SY115: $i,SY116: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY115 @ SY114 )
| ~ ( part_of @ SY116 @ SY114 ) )
| ~ ( incident_c @ SV4 @ SY115 ) )
| ~ ( incident_c @ SV4 @ SY116 ) )
| ( part_of @ SY115 @ SY116 )
| ( part_of @ SY116 @ SY115 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_c @ SV4 @ SY114 )
| ~ ! [SY117: $i,SY118: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY117 @ SY114 )
| ~ ( part_of @ SY118 @ SY114 ) )
| ~ ( incident_c @ SV4 @ SY117 ) )
| ~ ( incident_c @ SV4 @ SY118 ) )
| ( part_of @ SY117 @ SY118 )
| ( part_of @ SY118 @ SY117 ) ) )
| ( end_point @ SV4 @ SY114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(124,plain,
! [SV5: $i] :
( ( ! [SY119: $i] :
~ ( ~ ( ~ ( part_of @ SY119 @ SV5 )
| ! [SY120: $i] :
( ~ ( incident_c @ SY120 @ SY119 )
| ( incident_c @ SY120 @ SV5 ) ) )
| ~ ( ~ ! [SY121: $i] :
( ~ ( incident_c @ SY121 @ SY119 )
| ( incident_c @ SY121 @ SV5 ) )
| ( part_of @ SY119 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(125,plain,
! [SV6: $i] :
( ( ! [SY122: $i,SY123: $i,SY124: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY122 @ SV6 )
| ~ ( part_of @ SY123 @ SV6 ) )
| ~ ( part_of @ SY124 @ SV6 ) )
| ~ ~ ! [SX4: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SX4 @ SY122 )
| ~ ( end_point @ SX4 @ SY123 ) )
| ~ ( end_point @ SX4 @ SY124 ) ) )
| ( part_of @ SY123 @ SY124 )
| ( part_of @ SY124 @ SY123 )
| ( part_of @ SY122 @ SY123 )
| ( part_of @ SY123 @ SY122 )
| ( part_of @ SY122 @ SY124 )
| ( part_of @ SY124 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(126,plain,
! [SV7: $i] :
( ( ~ ! [SY126: $i] :
~ ( inner_point @ SY126 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(127,plain,
! [SV8: $i] :
( ( ! [SY127: $i,SY128: $i] :
~ ( ~ ( ( SV8
!= ( sum @ SY127 @ SY128 ) )
| ! [SY129: $i] :
~ ( ~ ( ~ ( incident_c @ SY129 @ SV8 )
| ( incident_c @ SY129 @ SY127 )
| ( incident_c @ SY129 @ SY128 ) )
| ~ ( ~ ( ( incident_c @ SY129 @ SY127 )
| ( incident_c @ SY129 @ SY128 ) )
| ( incident_c @ SY129 @ SV8 ) ) ) )
| ~ ( ~ ! [SY130: $i] :
~ ( ~ ( ~ ( incident_c @ SY130 @ SV8 )
| ( incident_c @ SY130 @ SY127 )
| ( incident_c @ SY130 @ SY128 ) )
| ~ ( ~ ( ( incident_c @ SY130 @ SY127 )
| ( incident_c @ SY130 @ SY128 ) )
| ( incident_c @ SY130 @ SV8 ) ) )
| ( SV8
= ( sum @ SY127 @ SY128 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(128,plain,
! [SV9: $i] :
( ( ! [SY131: $i] :
( ~ ~ ( ~ ( part_of @ SY131 @ SV9 )
| ~ ( ( SY131 != SV9 ) ) )
| ( open @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(129,plain,
! [SV10: $i] :
( ( ! [SY132: $i,SY133: $i,SY134: $i] :
( ~ ~ ( ~ ~ ( ~ ( end_point @ SY132 @ SV10 )
| ~ ( end_point @ SY133 @ SV10 ) )
| ~ ( end_point @ SY134 @ SV10 ) )
| ( SY132 = SY133 )
| ( SY132 = SY134 )
| ( SY133 = SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(130,plain,
! [SV11: $i] :
( ( ! [SY135: $i] :
( ~ ( inner_point @ SY135 @ SV11 )
| ~ ! [SY136: $i] :
~ ~ ! [SY137: $i] :
~ ~ ( ~ ( meet @ SY135 @ SY136 @ SY137 )
| ( SV11
!= ( sum @ SY136 @ SY137 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(131,plain,
! [SV12: $i] :
( ( ! [SY138: $i,SY139: $i] :
( ~ ( ordered_by @ SV12 @ SY138 @ SY139 )
| ~ ( ~ ( incident_o @ SY138 @ SV12 )
| ~ ( incident_o @ SY139 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(132,plain,
! [SV13: $i] :
( ( ~ ! [SY140: $i] :
~ ( start_point @ SY140 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(133,plain,
! [SV14: $i] :
( ( ! [SY141: $i] :
~ ( ~ ( ~ ( inner_point @ SV14 @ SY141 )
| ~ ( ~ ( incident_c @ SV14 @ SY141 )
| ~ ~ ( end_point @ SV14 @ SY141 ) ) )
| ~ ( ~ ~ ( ~ ( incident_c @ SV14 @ SY141 )
| ~ ~ ( end_point @ SV14 @ SY141 ) )
| ( inner_point @ SV14 @ SY141 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(134,plain,
! [SV15: $i] :
( ( ! [SY142: $i] :
~ ( ~ ( ( SV15
!= ( underlying_curve @ SY142 ) )
| ! [SY143: $i] :
~ ( ~ ( ~ ( incident_o @ SY143 @ SY142 )
| ( incident_c @ SY143 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY143 @ SV15 )
| ( incident_o @ SY143 @ SY142 ) ) ) )
| ~ ( ~ ! [SY144: $i] :
~ ( ~ ( ~ ( incident_o @ SY144 @ SY142 )
| ( incident_c @ SY144 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY144 @ SV15 )
| ( incident_o @ SY144 @ SY142 ) ) )
| ( SV15
= ( underlying_curve @ SY142 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(135,plain,
! [SV16: $i] :
( ( ~ ! [SY145: $i] :
~ ~ ( ~ ( open @ SY145 )
| ~ ! [SY146: $i] :
~ ( ~ ( ~ ( incident_o @ SY146 @ SV16 )
| ( incident_c @ SY146 @ SY145 ) )
| ~ ( ~ ( incident_c @ SY146 @ SY145 )
| ( incident_o @ SY146 @ SV16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(136,plain,
! [SV17: $i] :
( ( ! [SY147: $i,SY148: $i] :
~ ( ~ ( ~ ( meet @ SV17 @ SY147 @ SY148 )
| ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SY147 )
| ~ ( incident_c @ SV17 @ SY148 ) )
| ~ ! [SX3: $i] :
( ~ ~ ( ~ ( incident_c @ SX3 @ SY147 )
| ~ ( incident_c @ SX3 @ SY148 ) )
| ~ ( ~ ( end_point @ SX3 @ SY147 )
| ~ ( end_point @ SX3 @ SY148 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SY147 )
| ~ ( incident_c @ SV17 @ SY148 ) )
| ~ ! [SX3: $i] :
( ~ ~ ( ~ ( incident_c @ SX3 @ SY147 )
| ~ ( incident_c @ SX3 @ SY148 ) )
| ~ ( ~ ( end_point @ SX3 @ SY147 )
| ~ ( end_point @ SX3 @ SY148 ) ) ) )
| ( meet @ SV17 @ SY147 @ SY148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(137,plain,
! [SV18: $i] :
( ( ! [SY151: $i] :
( ~ ( end_point @ SY151 @ SV18 )
| ~ ! [SY152: $i] :
~ ~ ( ~ ( end_point @ SY152 @ SV18 )
| ~ ( ( SY151 != SY152 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(138,plain,
! [SV19: $i] :
( ( ~ ( ~ ( ~ ( open @ SV19 )
| ~ ! [SY153: $i] :
~ ( end_point @ SY153 @ SV19 ) )
| ~ ( ~ ~ ! [SY154: $i] :
~ ( end_point @ SY154 @ SV19 )
| ( open @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(139,plain,
! [SV20: $i] :
( ( ! [SY155: $i,SY156: $i,SY157: $i] :
( ~ ~ ( ~ ~ ( ~ ( closed @ SV20 )
| ~ ( meet @ SY157 @ SY155 @ SY156 ) )
| ( SV20
!= ( sum @ SY155 @ SY156 ) ) )
| ! [SX4: $i] :
( ~ ( end_point @ SX4 @ SY155 )
| ( meet @ SX4 @ SY155 @ SY156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(140,plain,
! [SV21: $i] :
( ( ! [SY159: $i,SY160: $i,SY161: $i] :
~ ( ~ ( ~ ( between_o @ SV21 @ SY159 @ SY160 @ SY161 )
| ~ ( ~ ( ordered_by @ SV21 @ SY159 @ SY160 )
| ~ ( ordered_by @ SV21 @ SY160 @ SY161 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SY161 @ SY160 )
| ~ ( ordered_by @ SV21 @ SY160 @ SY159 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SV21 @ SY159 @ SY160 )
| ~ ( ordered_by @ SV21 @ SY160 @ SY161 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SY161 @ SY160 )
| ~ ( ordered_by @ SV21 @ SY160 @ SY159 ) ) )
| ( between_o @ SV21 @ SY159 @ SY160 @ SY161 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(141,plain,
! [SV22: $i] :
( ( ! [SY162: $i] :
( ~ ~ ! [SY163: $i] :
~ ( meet @ SY163 @ SV22 @ SY162 )
| ~ ! [SY164: $i] :
( SY164
!= ( sum @ SV22 @ SY162 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(142,plain,
! [SV23: $i] :
( ( ~ ( ~ ( ~ ( closed @ SV23 )
| ~ ~ ! [SY165: $i] :
~ ( end_point @ SY165 @ SV23 ) )
| ~ ( ~ ~ ~ ! [SY166: $i] :
~ ( end_point @ SY166 @ SV23 )
| ( closed @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(143,plain,
! [SV24: $i] :
( ( ! [SY167: $i] :
( ~ ! [SY168: $i] :
~ ( ~ ( ~ ( incident_c @ SY168 @ SV24 )
| ( incident_c @ SY168 @ SY167 ) )
| ~ ( ~ ( incident_c @ SY168 @ SY167 )
| ( incident_c @ SY168 @ SV24 ) ) )
| ( SV24 = SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(144,plain,
! [SV25: $i] :
( ( ! [SY169: $i] :
( ~ ! [SY170: $i,SY171: $i] :
~ ( ~ ( ~ ( ordered_by @ SV25 @ SY170 @ SY171 )
| ( ordered_by @ SY169 @ SY170 @ SY171 ) )
| ~ ( ~ ( ordered_by @ SY169 @ SY170 @ SY171 )
| ( ordered_by @ SV25 @ SY170 @ SY171 ) ) )
| ( SV25 = SY169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(145,plain,
! [SV26: $i] :
( ( ! [SY172: $i] :
~ ( ~ ( ~ ( start_point @ SV26 @ SY172 )
| ~ ( ~ ( incident_o @ SV26 @ SY172 )
| ~ ! [SY173: $i] :
( ~ ~ ( ~ ( ( SV26 != SY173 ) )
| ~ ( incident_o @ SY173 @ SY172 ) )
| ( ordered_by @ SY172 @ SV26 @ SY173 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_o @ SV26 @ SY172 )
| ~ ! [SY174: $i] :
( ~ ~ ( ~ ( ( SV26 != SY174 ) )
| ~ ( incident_o @ SY174 @ SY172 ) )
| ( ordered_by @ SY172 @ SV26 @ SY174 ) ) )
| ( start_point @ SV26 @ SY172 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(146,plain,
! [SV27: $i] :
( ( ! [SY175: $i,SY176: $i,SY177: $i] :
~ ( ~ ( ~ ( between_c @ SV27 @ SY175 @ SY176 @ SY177 )
| ~ ( ~ ( ( SY175 != SY177 ) )
| ~ ~ ! [SY178: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY178 @ SV27 )
| ~ ( end_point @ SY175 @ SY178 ) )
| ~ ( end_point @ SY177 @ SY178 ) )
| ~ ( inner_point @ SY176 @ SY178 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SY175 != SY177 ) )
| ~ ~ ! [SY179: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY179 @ SV27 )
| ~ ( end_point @ SY175 @ SY179 ) )
| ~ ( end_point @ SY177 @ SY179 ) )
| ~ ( inner_point @ SY176 @ SY179 ) ) )
| ( between_c @ SV27 @ SY175 @ SY176 @ SY177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(147,plain,
! [SV28: $i,SV1: $i] :
( ( ! [SY180: $i,SY181: $i] :
~ ( ~ ( ~ ( between_o @ SY181 @ SV1 @ SV28 @ SY180 )
| ~ ! [SY182: $i] :
~ ~ ( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( incident_o @ SX5 @ SY181 )
| ( incident_c @ SX5 @ SY182 ) )
| ~ ( ~ ( incident_c @ SX5 @ SY182 )
| ( incident_o @ SX5 @ SY181 ) ) )
| ~ ( between_c @ SY182 @ SV1 @ SV28 @ SY180 ) ) )
| ~ ( ~ ~ ! [SY184: $i] :
~ ~ ( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( incident_o @ SX5 @ SY181 )
| ( incident_c @ SX5 @ SY184 ) )
| ~ ( ~ ( incident_c @ SX5 @ SY184 )
| ( incident_o @ SX5 @ SY181 ) ) )
| ~ ( between_c @ SY184 @ SV1 @ SV28 @ SY180 ) )
| ( between_o @ SY181 @ SV1 @ SV28 @ SY180 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(148,plain,
! [SV29: $i,SV2: $i] :
( ( ! [SY186: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( open @ SY186 )
| ~ ( ( SV2 != SV29 ) ) )
| ~ ( incident_c @ SV2 @ SY186 ) )
| ~ ( incident_c @ SV29 @ SY186 ) )
| ~ ! [SY187: $i] :
~ ~ ( ~ ! [SX4: $i] :
~ ( ~ ( ~ ( incident_o @ SX4 @ SY187 )
| ( incident_c @ SX4 @ SY186 ) )
| ~ ( ~ ( incident_c @ SX4 @ SY186 )
| ( incident_o @ SX4 @ SY187 ) ) )
| ~ ( ordered_by @ SY187 @ SV2 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(149,plain,
! [SV30: $i,SV3: $i] :
( ( ~ ( ~ ( ~ ( finish_point @ SV3 @ SV30 )
| ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY189: $i] :
( ~ ~ ( ~ ( ( SV3 != SY189 ) )
| ~ ( incident_o @ SY189 @ SV30 ) )
| ( ordered_by @ SV30 @ SY189 @ SV3 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY190: $i] :
( ~ ~ ( ~ ( ( SV3 != SY190 ) )
| ~ ( incident_o @ SY190 @ SV30 ) )
| ( ordered_by @ SV30 @ SY190 @ SV3 ) ) )
| ( finish_point @ SV3 @ SV30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(150,plain,
! [SV31: $i,SV4: $i] :
( ( ~ ( ~ ( ~ ( end_point @ SV4 @ SV31 )
| ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY191: $i,SY192: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY191 @ SV31 )
| ~ ( part_of @ SY192 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY191 ) )
| ~ ( incident_c @ SV4 @ SY192 ) )
| ( part_of @ SY191 @ SY192 )
| ( part_of @ SY192 @ SY191 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY193 @ SV31 )
| ~ ( part_of @ SY194 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY193 ) )
| ~ ( incident_c @ SV4 @ SY194 ) )
| ( part_of @ SY193 @ SY194 )
| ( part_of @ SY194 @ SY193 ) ) )
| ( end_point @ SV4 @ SV31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(151,plain,
! [SV5: $i,SV32: $i] :
( ( ~ ( ~ ( ~ ( part_of @ SV32 @ SV5 )
| ! [SY195: $i] :
( ~ ( incident_c @ SY195 @ SV32 )
| ( incident_c @ SY195 @ SV5 ) ) )
| ~ ( ~ ! [SY196: $i] :
( ~ ( incident_c @ SY196 @ SV32 )
| ( incident_c @ SY196 @ SV5 ) )
| ( part_of @ SV32 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(152,plain,
! [SV6: $i,SV33: $i] :
( ( ! [SY197: $i,SY198: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SY197 @ SV6 ) )
| ~ ( part_of @ SY198 @ SV6 ) )
| ~ ~ ! [SY199: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY199 @ SV33 )
| ~ ( end_point @ SY199 @ SY197 ) )
| ~ ( end_point @ SY199 @ SY198 ) ) )
| ( part_of @ SY197 @ SY198 )
| ( part_of @ SY198 @ SY197 )
| ( part_of @ SV33 @ SY197 )
| ( part_of @ SY197 @ SV33 )
| ( part_of @ SV33 @ SY198 )
| ( part_of @ SY198 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(153,plain,
! [SV7: $i] :
( ( ! [SY126: $i] :
~ ( inner_point @ SY126 @ SV7 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(154,plain,
! [SV34: $i,SV8: $i] :
( ( ! [SY200: $i] :
~ ( ~ ( ( SV8
!= ( sum @ SV34 @ SY200 ) )
| ! [SY201: $i] :
~ ( ~ ( ~ ( incident_c @ SY201 @ SV8 )
| ( incident_c @ SY201 @ SV34 )
| ( incident_c @ SY201 @ SY200 ) )
| ~ ( ~ ( ( incident_c @ SY201 @ SV34 )
| ( incident_c @ SY201 @ SY200 ) )
| ( incident_c @ SY201 @ SV8 ) ) ) )
| ~ ( ~ ! [SY202: $i] :
~ ( ~ ( ~ ( incident_c @ SY202 @ SV8 )
| ( incident_c @ SY202 @ SV34 )
| ( incident_c @ SY202 @ SY200 ) )
| ~ ( ~ ( ( incident_c @ SY202 @ SV34 )
| ( incident_c @ SY202 @ SY200 ) )
| ( incident_c @ SY202 @ SV8 ) ) )
| ( SV8
= ( sum @ SV34 @ SY200 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(155,plain,
! [SV9: $i,SV35: $i] :
( ( ~ ~ ( ~ ( part_of @ SV35 @ SV9 )
| ~ ( ( SV35 != SV9 ) ) )
| ( open @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(156,plain,
! [SV10: $i,SV36: $i] :
( ( ! [SY203: $i,SY204: $i] :
( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ SV10 )
| ~ ( end_point @ SY203 @ SV10 ) )
| ~ ( end_point @ SY204 @ SV10 ) )
| ( SV36 = SY203 )
| ( SV36 = SY204 )
| ( SY203 = SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(157,plain,
! [SV11: $i,SV37: $i] :
( ( ~ ( inner_point @ SV37 @ SV11 )
| ~ ! [SY205: $i] :
~ ~ ! [SY206: $i] :
~ ~ ( ~ ( meet @ SV37 @ SY205 @ SY206 )
| ( SV11
!= ( sum @ SY205 @ SY206 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(158,plain,
! [SV38: $i,SV12: $i] :
( ( ! [SY207: $i] :
( ~ ( ordered_by @ SV12 @ SV38 @ SY207 )
| ~ ( ~ ( incident_o @ SV38 @ SV12 )
| ~ ( incident_o @ SY207 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(159,plain,
! [SV13: $i] :
( ( ! [SY140: $i] :
~ ( start_point @ SY140 @ SV13 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(160,plain,
! [SV39: $i,SV14: $i] :
( ( ~ ( ~ ( ~ ( inner_point @ SV14 @ SV39 )
| ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) ) )
| ~ ( ~ ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) )
| ( inner_point @ SV14 @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(161,plain,
! [SV40: $i,SV15: $i] :
( ( ~ ( ~ ( ( SV15
!= ( underlying_curve @ SV40 ) )
| ! [SY208: $i] :
~ ( ~ ( ~ ( incident_o @ SY208 @ SV40 )
| ( incident_c @ SY208 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY208 @ SV15 )
| ( incident_o @ SY208 @ SV40 ) ) ) )
| ~ ( ~ ! [SY209: $i] :
~ ( ~ ( ~ ( incident_o @ SY209 @ SV40 )
| ( incident_c @ SY209 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY209 @ SV15 )
| ( incident_o @ SY209 @ SV40 ) ) )
| ( SV15
= ( underlying_curve @ SV40 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(162,plain,
! [SV16: $i] :
( ( ! [SY145: $i] :
~ ~ ( ~ ( open @ SY145 )
| ~ ! [SY146: $i] :
~ ( ~ ( ~ ( incident_o @ SY146 @ SV16 )
| ( incident_c @ SY146 @ SY145 ) )
| ~ ( ~ ( incident_c @ SY146 @ SY145 )
| ( incident_o @ SY146 @ SV16 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(163,plain,
! [SV41: $i,SV17: $i] :
( ( ! [SY210: $i] :
~ ( ~ ( ~ ( meet @ SV17 @ SV41 @ SY210 )
| ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SY210 ) )
| ~ ! [SY211: $i] :
( ~ ~ ( ~ ( incident_c @ SY211 @ SV41 )
| ~ ( incident_c @ SY211 @ SY210 ) )
| ~ ( ~ ( end_point @ SY211 @ SV41 )
| ~ ( end_point @ SY211 @ SY210 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SY210 ) )
| ~ ! [SY212: $i] :
( ~ ~ ( ~ ( incident_c @ SY212 @ SV41 )
| ~ ( incident_c @ SY212 @ SY210 ) )
| ~ ( ~ ( end_point @ SY212 @ SV41 )
| ~ ( end_point @ SY212 @ SY210 ) ) ) )
| ( meet @ SV17 @ SV41 @ SY210 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(164,plain,
! [SV18: $i,SV42: $i] :
( ( ~ ( end_point @ SV42 @ SV18 )
| ~ ! [SY213: $i] :
~ ~ ( ~ ( end_point @ SY213 @ SV18 )
| ~ ( ( SV42 != SY213 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(165,plain,
! [SV19: $i] :
( ( ~ ( ~ ( open @ SV19 )
| ~ ! [SY153: $i] :
~ ( end_point @ SY153 @ SV19 ) )
| ~ ( ~ ~ ! [SY154: $i] :
~ ( end_point @ SY154 @ SV19 )
| ( open @ SV19 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(166,plain,
! [SV43: $i,SV20: $i] :
( ( ! [SY214: $i,SY215: $i] :
( ~ ~ ( ~ ~ ( ~ ( closed @ SV20 )
| ~ ( meet @ SY215 @ SV43 @ SY214 ) )
| ( SV20
!= ( sum @ SV43 @ SY214 ) ) )
| ! [SY216: $i] :
( ~ ( end_point @ SY216 @ SV43 )
| ( meet @ SY216 @ SV43 @ SY214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(167,plain,
! [SV44: $i,SV21: $i] :
( ( ! [SY217: $i,SY218: $i] :
~ ( ~ ( ~ ( between_o @ SV21 @ SV44 @ SY217 @ SY218 )
| ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SY217 )
| ~ ( ordered_by @ SV21 @ SY217 @ SY218 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SY218 @ SY217 )
| ~ ( ordered_by @ SV21 @ SY217 @ SV44 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SY217 )
| ~ ( ordered_by @ SV21 @ SY217 @ SY218 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SY218 @ SY217 )
| ~ ( ordered_by @ SV21 @ SY217 @ SV44 ) ) )
| ( between_o @ SV21 @ SV44 @ SY217 @ SY218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(168,plain,
! [SV45: $i,SV22: $i] :
( ( ~ ~ ! [SY219: $i] :
~ ( meet @ SY219 @ SV22 @ SV45 )
| ~ ! [SY220: $i] :
( SY220
!= ( sum @ SV22 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(169,plain,
! [SV23: $i] :
( ( ~ ( ~ ( closed @ SV23 )
| ~ ~ ! [SY165: $i] :
~ ( end_point @ SY165 @ SV23 ) )
| ~ ( ~ ~ ~ ! [SY166: $i] :
~ ( end_point @ SY166 @ SV23 )
| ( closed @ SV23 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(170,plain,
! [SV46: $i,SV24: $i] :
( ( ~ ! [SY221: $i] :
~ ( ~ ( ~ ( incident_c @ SY221 @ SV24 )
| ( incident_c @ SY221 @ SV46 ) )
| ~ ( ~ ( incident_c @ SY221 @ SV46 )
| ( incident_c @ SY221 @ SV24 ) ) )
| ( SV24 = SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(171,plain,
! [SV47: $i,SV25: $i] :
( ( ~ ! [SY222: $i,SY223: $i] :
~ ( ~ ( ~ ( ordered_by @ SV25 @ SY222 @ SY223 )
| ( ordered_by @ SV47 @ SY222 @ SY223 ) )
| ~ ( ~ ( ordered_by @ SV47 @ SY222 @ SY223 )
| ( ordered_by @ SV25 @ SY222 @ SY223 ) ) )
| ( SV25 = SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(172,plain,
! [SV48: $i,SV26: $i] :
( ( ~ ( ~ ( ~ ( start_point @ SV26 @ SV48 )
| ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY224: $i] :
( ~ ~ ( ~ ( ( SV26 != SY224 ) )
| ~ ( incident_o @ SY224 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY224 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV26 != SY225 ) )
| ~ ( incident_o @ SY225 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY225 ) ) )
| ( start_point @ SV26 @ SV48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(173,plain,
! [SV49: $i,SV27: $i] :
( ( ! [SY226: $i,SY227: $i] :
~ ( ~ ( ~ ( between_c @ SV27 @ SV49 @ SY226 @ SY227 )
| ~ ( ~ ( ( SV49 != SY227 ) )
| ~ ~ ! [SY228: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY228 @ SV27 )
| ~ ( end_point @ SV49 @ SY228 ) )
| ~ ( end_point @ SY227 @ SY228 ) )
| ~ ( inner_point @ SY226 @ SY228 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SV49 != SY227 ) )
| ~ ~ ! [SY229: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY229 @ SV27 )
| ~ ( end_point @ SV49 @ SY229 ) )
| ~ ( end_point @ SY227 @ SY229 ) )
| ~ ( inner_point @ SY226 @ SY229 ) ) )
| ( between_c @ SV27 @ SV49 @ SY226 @ SY227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(174,plain,
! [SV50: $i,SV28: $i,SV1: $i] :
( ( ! [SY230: $i] :
~ ( ~ ( ~ ( between_o @ SY230 @ SV1 @ SV28 @ SV50 )
| ~ ! [SY231: $i] :
~ ~ ( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( incident_o @ SX5 @ SY230 )
| ( incident_c @ SX5 @ SY231 ) )
| ~ ( ~ ( incident_c @ SX5 @ SY231 )
| ( incident_o @ SX5 @ SY230 ) ) )
| ~ ( between_c @ SY231 @ SV1 @ SV28 @ SV50 ) ) )
| ~ ( ~ ~ ! [SY233: $i] :
~ ~ ( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( incident_o @ SX5 @ SY230 )
| ( incident_c @ SX5 @ SY233 ) )
| ~ ( ~ ( incident_c @ SX5 @ SY233 )
| ( incident_o @ SX5 @ SY230 ) ) )
| ~ ( between_c @ SY233 @ SV1 @ SV28 @ SV50 ) )
| ( between_o @ SY230 @ SV1 @ SV28 @ SV50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(175,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( open @ SV51 )
| ~ ( ( SV2 != SV29 ) ) )
| ~ ( incident_c @ SV2 @ SV51 ) )
| ~ ( incident_c @ SV29 @ SV51 ) )
| ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(176,plain,
! [SV30: $i,SV3: $i] :
( ( ~ ( ~ ( finish_point @ SV3 @ SV30 )
| ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY189: $i] :
( ~ ~ ( ~ ( ( SV3 != SY189 ) )
| ~ ( incident_o @ SY189 @ SV30 ) )
| ( ordered_by @ SV30 @ SY189 @ SV3 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY190: $i] :
( ~ ~ ( ~ ( ( SV3 != SY190 ) )
| ~ ( incident_o @ SY190 @ SV30 ) )
| ( ordered_by @ SV30 @ SY190 @ SV3 ) ) )
| ( finish_point @ SV3 @ SV30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(177,plain,
! [SV31: $i,SV4: $i] :
( ( ~ ( ~ ( end_point @ SV4 @ SV31 )
| ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY191: $i,SY192: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY191 @ SV31 )
| ~ ( part_of @ SY192 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY191 ) )
| ~ ( incident_c @ SV4 @ SY192 ) )
| ( part_of @ SY191 @ SY192 )
| ( part_of @ SY192 @ SY191 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY193 @ SV31 )
| ~ ( part_of @ SY194 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY193 ) )
| ~ ( incident_c @ SV4 @ SY194 ) )
| ( part_of @ SY193 @ SY194 )
| ( part_of @ SY194 @ SY193 ) ) )
| ( end_point @ SV4 @ SV31 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(178,plain,
! [SV5: $i,SV32: $i] :
( ( ~ ( ~ ( part_of @ SV32 @ SV5 )
| ! [SY195: $i] :
( ~ ( incident_c @ SY195 @ SV32 )
| ( incident_c @ SY195 @ SV5 ) ) )
| ~ ( ~ ! [SY196: $i] :
( ~ ( incident_c @ SY196 @ SV32 )
| ( incident_c @ SY196 @ SV5 ) )
| ( part_of @ SV32 @ SV5 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(179,plain,
! [SV52: $i,SV6: $i,SV33: $i] :
( ( ! [SY237: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) )
| ~ ( part_of @ SY237 @ SV6 ) )
| ~ ~ ! [SY238: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY238 @ SV33 )
| ~ ( end_point @ SY238 @ SV52 ) )
| ~ ( end_point @ SY238 @ SY237 ) ) )
| ( part_of @ SV52 @ SY237 )
| ( part_of @ SY237 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SY237 )
| ( part_of @ SY237 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(180,plain,
! [SV7: $i] :
( ( ~ ( inner_point @ ( sK4_SY126 @ SV7 ) @ SV7 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[153]) ).
thf(181,plain,
! [SV53: $i,SV34: $i,SV8: $i] :
( ( ~ ( ~ ( ( SV8
!= ( sum @ SV34 @ SV53 ) )
| ! [SY239: $i] :
~ ( ~ ( ~ ( incident_c @ SY239 @ SV8 )
| ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ( incident_c @ SY239 @ SV8 ) ) ) )
| ~ ( ~ ! [SY240: $i] :
~ ( ~ ( ~ ( incident_c @ SY240 @ SV8 )
| ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ( incident_c @ SY240 @ SV8 ) ) )
| ( SV8
= ( sum @ SV34 @ SV53 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(182,plain,
! [SV9: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( part_of @ SV35 @ SV9 )
| ~ ( ( SV35 != SV9 ) ) ) )
= $true )
| ( ( open @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(183,plain,
! [SV54: $i,SV10: $i,SV36: $i] :
( ( ! [SY241: $i] :
( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ SV10 )
| ~ ( end_point @ SV54 @ SV10 ) )
| ~ ( end_point @ SY241 @ SV10 ) )
| ( SV36 = SV54 )
| ( SV36 = SY241 )
| ( SV54 = SY241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(184,plain,
! [SV11: $i,SV37: $i] :
( ( ( ~ ( inner_point @ SV37 @ SV11 ) )
= $true )
| ( ( ~ ! [SY205: $i] :
~ ~ ! [SY206: $i] :
~ ~ ( ~ ( meet @ SV37 @ SY205 @ SY206 )
| ( SV11
!= ( sum @ SY205 @ SY206 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(185,plain,
! [SV55: $i,SV38: $i,SV12: $i] :
( ( ~ ( ordered_by @ SV12 @ SV38 @ SV55 )
| ~ ( ~ ( incident_o @ SV38 @ SV12 )
| ~ ( incident_o @ SV55 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(186,plain,
! [SV13: $i] :
( ( ~ ( start_point @ ( sK5_SY140 @ SV13 ) @ SV13 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[159]) ).
thf(187,plain,
! [SV39: $i,SV14: $i] :
( ( ~ ( ~ ( inner_point @ SV14 @ SV39 )
| ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) ) )
| ~ ( ~ ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) )
| ( inner_point @ SV14 @ SV39 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(188,plain,
! [SV40: $i,SV15: $i] :
( ( ~ ( ( SV15
!= ( underlying_curve @ SV40 ) )
| ! [SY208: $i] :
~ ( ~ ( ~ ( incident_o @ SY208 @ SV40 )
| ( incident_c @ SY208 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY208 @ SV15 )
| ( incident_o @ SY208 @ SV40 ) ) ) )
| ~ ( ~ ! [SY209: $i] :
~ ( ~ ( ~ ( incident_o @ SY209 @ SV40 )
| ( incident_c @ SY209 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY209 @ SV15 )
| ( incident_o @ SY209 @ SV40 ) ) )
| ( SV15
= ( underlying_curve @ SV40 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(189,plain,
! [SV16: $i] :
( ( ~ ~ ( ~ ( open @ ( sK6_SY145 @ SV16 ) )
| ~ ! [SY242: $i] :
~ ( ~ ( ~ ( incident_o @ SY242 @ SV16 )
| ( incident_c @ SY242 @ ( sK6_SY145 @ SV16 ) ) )
| ~ ( ~ ( incident_c @ SY242 @ ( sK6_SY145 @ SV16 ) )
| ( incident_o @ SY242 @ SV16 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[162]) ).
thf(190,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ~ ( ~ ( ~ ( meet @ SV17 @ SV41 @ SV56 )
| ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY243: $i] :
( ~ ~ ( ~ ( incident_c @ SY243 @ SV41 )
| ~ ( incident_c @ SY243 @ SV56 ) )
| ~ ( ~ ( end_point @ SY243 @ SV41 )
| ~ ( end_point @ SY243 @ SV56 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
| ( meet @ SV17 @ SV41 @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(191,plain,
! [SV18: $i,SV42: $i] :
( ( ( ~ ( end_point @ SV42 @ SV18 ) )
= $true )
| ( ( ~ ! [SY213: $i] :
~ ~ ( ~ ( end_point @ SY213 @ SV18 )
| ~ ( ( SV42 != SY213 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(192,plain,
! [SV19: $i] :
( ( ~ ( ~ ( open @ SV19 )
| ~ ! [SY153: $i] :
~ ( end_point @ SY153 @ SV19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(193,plain,
! [SV19: $i] :
( ( ~ ( ~ ~ ! [SY154: $i] :
~ ( end_point @ SY154 @ SV19 )
| ( open @ SV19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(194,plain,
! [SV57: $i,SV43: $i,SV20: $i] :
( ( ! [SY245: $i] :
( ~ ~ ( ~ ~ ( ~ ( closed @ SV20 )
| ~ ( meet @ SY245 @ SV43 @ SV57 ) )
| ( SV20
!= ( sum @ SV43 @ SV57 ) ) )
| ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(195,plain,
! [SV58: $i,SV44: $i,SV21: $i] :
( ( ! [SY247: $i] :
~ ( ~ ( ~ ( between_o @ SV21 @ SV44 @ SV58 @ SY247 )
| ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SY247 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SY247 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SY247 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SY247 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
| ( between_o @ SV21 @ SV44 @ SV58 @ SY247 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(196,plain,
! [SV45: $i,SV22: $i] :
( ( ( ~ ~ ! [SY219: $i] :
~ ( meet @ SY219 @ SV22 @ SV45 ) )
= $true )
| ( ( ~ ! [SY220: $i] :
( SY220
!= ( sum @ SV22 @ SV45 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(197,plain,
! [SV23: $i] :
( ( ~ ( ~ ( closed @ SV23 )
| ~ ~ ! [SY165: $i] :
~ ( end_point @ SY165 @ SV23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(198,plain,
! [SV23: $i] :
( ( ~ ( ~ ~ ~ ! [SY166: $i] :
~ ( end_point @ SY166 @ SV23 )
| ( closed @ SV23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(199,plain,
! [SV46: $i,SV24: $i] :
( ( ( ~ ! [SY221: $i] :
~ ( ~ ( ~ ( incident_c @ SY221 @ SV24 )
| ( incident_c @ SY221 @ SV46 ) )
| ~ ( ~ ( incident_c @ SY221 @ SV46 )
| ( incident_c @ SY221 @ SV24 ) ) ) )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(200,plain,
! [SV47: $i,SV25: $i] :
( ( ( ~ ! [SY222: $i,SY223: $i] :
~ ( ~ ( ~ ( ordered_by @ SV25 @ SY222 @ SY223 )
| ( ordered_by @ SV47 @ SY222 @ SY223 ) )
| ~ ( ~ ( ordered_by @ SV47 @ SY222 @ SY223 )
| ( ordered_by @ SV25 @ SY222 @ SY223 ) ) ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(201,plain,
! [SV48: $i,SV26: $i] :
( ( ~ ( ~ ( start_point @ SV26 @ SV48 )
| ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY224: $i] :
( ~ ~ ( ~ ( ( SV26 != SY224 ) )
| ~ ( incident_o @ SY224 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY224 ) ) ) )
| ~ ( ~ ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV26 != SY225 ) )
| ~ ( incident_o @ SY225 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY225 ) ) )
| ( start_point @ SV26 @ SV48 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(202,plain,
! [SV59: $i,SV49: $i,SV27: $i] :
( ( ! [SY248: $i] :
~ ( ~ ( ~ ( between_c @ SV27 @ SV49 @ SV59 @ SY248 )
| ~ ( ~ ( ( SV49 != SY248 ) )
| ~ ~ ! [SY249: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY249 @ SV27 )
| ~ ( end_point @ SV49 @ SY249 ) )
| ~ ( end_point @ SY248 @ SY249 ) )
| ~ ( inner_point @ SV59 @ SY249 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SV49 != SY248 ) )
| ~ ~ ! [SY250: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY250 @ SV27 )
| ~ ( end_point @ SV49 @ SY250 ) )
| ~ ( end_point @ SY248 @ SY250 ) )
| ~ ( inner_point @ SV59 @ SY250 ) ) )
| ( between_c @ SV27 @ SV49 @ SV59 @ SY248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(203,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ~ ( ~ ( ~ ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
| ~ ! [SY251: $i] :
~ ~ ( ~ ! [SY252: $i] :
~ ( ~ ( ~ ( incident_o @ SY252 @ SV60 )
| ( incident_c @ SY252 @ SY251 ) )
| ~ ( ~ ( incident_c @ SY252 @ SY251 )
| ( incident_o @ SY252 @ SV60 ) ) )
| ~ ( between_c @ SY251 @ SV1 @ SV28 @ SV50 ) ) )
| ~ ( ~ ~ ! [SY253: $i] :
~ ~ ( ~ ! [SY254: $i] :
~ ( ~ ( ~ ( incident_o @ SY254 @ SV60 )
| ( incident_c @ SY254 @ SY253 ) )
| ~ ( ~ ( incident_c @ SY254 @ SY253 )
| ( incident_o @ SY254 @ SV60 ) ) )
| ~ ( between_c @ SY253 @ SV1 @ SV28 @ SV50 ) )
| ( between_o @ SV60 @ SV1 @ SV28 @ SV50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(204,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( open @ SV51 )
| ~ ( ( SV2 != SV29 ) ) )
| ~ ( incident_c @ SV2 @ SV51 ) )
| ~ ( incident_c @ SV29 @ SV51 ) ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(205,plain,
! [SV30: $i,SV3: $i] :
( ( ~ ( ~ ( finish_point @ SV3 @ SV30 )
| ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY189: $i] :
( ~ ~ ( ~ ( ( SV3 != SY189 ) )
| ~ ( incident_o @ SY189 @ SV30 ) )
| ( ordered_by @ SV30 @ SY189 @ SV3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(206,plain,
! [SV30: $i,SV3: $i] :
( ( ~ ( ~ ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY190: $i] :
( ~ ~ ( ~ ( ( SV3 != SY190 ) )
| ~ ( incident_o @ SY190 @ SV30 ) )
| ( ordered_by @ SV30 @ SY190 @ SV3 ) ) )
| ( finish_point @ SV3 @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(207,plain,
! [SV31: $i,SV4: $i] :
( ( ~ ( ~ ( end_point @ SV4 @ SV31 )
| ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY191: $i,SY192: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY191 @ SV31 )
| ~ ( part_of @ SY192 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY191 ) )
| ~ ( incident_c @ SV4 @ SY192 ) )
| ( part_of @ SY191 @ SY192 )
| ( part_of @ SY192 @ SY191 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(208,plain,
! [SV31: $i,SV4: $i] :
( ( ~ ( ~ ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY193 @ SV31 )
| ~ ( part_of @ SY194 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY193 ) )
| ~ ( incident_c @ SV4 @ SY194 ) )
| ( part_of @ SY193 @ SY194 )
| ( part_of @ SY194 @ SY193 ) ) )
| ( end_point @ SV4 @ SV31 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(209,plain,
! [SV5: $i,SV32: $i] :
( ( ~ ( ~ ( part_of @ SV32 @ SV5 )
| ! [SY195: $i] :
( ~ ( incident_c @ SY195 @ SV32 )
| ( incident_c @ SY195 @ SV5 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(210,plain,
! [SV5: $i,SV32: $i] :
( ( ~ ( ~ ! [SY196: $i] :
( ~ ( incident_c @ SY196 @ SV32 )
| ( incident_c @ SY196 @ SV5 ) )
| ( part_of @ SV32 @ SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[178]) ).
thf(211,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) )
| ~ ( part_of @ SV61 @ SV6 ) )
| ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
| ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(212,plain,
! [SV7: $i] :
( ( inner_point @ ( sK4_SY126 @ SV7 ) @ SV7 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(213,plain,
! [SV53: $i,SV34: $i,SV8: $i] :
( ( ~ ( ( SV8
!= ( sum @ SV34 @ SV53 ) )
| ! [SY239: $i] :
~ ( ~ ( ~ ( incident_c @ SY239 @ SV8 )
| ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ( incident_c @ SY239 @ SV8 ) ) ) )
| ~ ( ~ ! [SY240: $i] :
~ ( ~ ( ~ ( incident_c @ SY240 @ SV8 )
| ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ( incident_c @ SY240 @ SV8 ) ) )
| ( SV8
= ( sum @ SV34 @ SV53 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(214,plain,
! [SV9: $i,SV35: $i] :
( ( ( ~ ( ~ ( part_of @ SV35 @ SV9 )
| ~ ( ( SV35 != SV9 ) ) ) )
= $false )
| ( ( open @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(215,plain,
! [SV62: $i,SV54: $i,SV10: $i,SV36: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ SV10 )
| ~ ( end_point @ SV54 @ SV10 ) )
| ~ ( end_point @ SV62 @ SV10 ) )
| ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(216,plain,
! [SV11: $i,SV37: $i] :
( ( ( inner_point @ SV37 @ SV11 )
= $false )
| ( ( ~ ! [SY205: $i] :
~ ~ ! [SY206: $i] :
~ ~ ( ~ ( meet @ SV37 @ SY205 @ SY206 )
| ( SV11
!= ( sum @ SY205 @ SY206 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(217,plain,
! [SV55: $i,SV38: $i,SV12: $i] :
( ( ( ~ ( ordered_by @ SV12 @ SV38 @ SV55 ) )
= $true )
| ( ( ~ ( ~ ( incident_o @ SV38 @ SV12 )
| ~ ( incident_o @ SV55 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(218,plain,
! [SV13: $i] :
( ( start_point @ ( sK5_SY140 @ SV13 ) @ SV13 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(219,plain,
! [SV39: $i,SV14: $i] :
( ( ~ ( ~ ( inner_point @ SV14 @ SV39 )
| ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(220,plain,
! [SV39: $i,SV14: $i] :
( ( ~ ( ~ ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) )
| ( inner_point @ SV14 @ SV39 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(221,plain,
! [SV40: $i,SV15: $i] :
( ( ~ ( ( SV15
!= ( underlying_curve @ SV40 ) )
| ! [SY208: $i] :
~ ( ~ ( ~ ( incident_o @ SY208 @ SV40 )
| ( incident_c @ SY208 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY208 @ SV15 )
| ( incident_o @ SY208 @ SV40 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(222,plain,
! [SV15: $i,SV40: $i] :
( ( ~ ( ~ ! [SY209: $i] :
~ ( ~ ( ~ ( incident_o @ SY209 @ SV40 )
| ( incident_c @ SY209 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY209 @ SV15 )
| ( incident_o @ SY209 @ SV40 ) ) )
| ( SV15
= ( underlying_curve @ SV40 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[188]) ).
thf(223,plain,
! [SV16: $i] :
( ( ~ ( ~ ( open @ ( sK6_SY145 @ SV16 ) )
| ~ ! [SY242: $i] :
~ ( ~ ( ~ ( incident_o @ SY242 @ SV16 )
| ( incident_c @ SY242 @ ( sK6_SY145 @ SV16 ) ) )
| ~ ( ~ ( incident_c @ SY242 @ ( sK6_SY145 @ SV16 ) )
| ( incident_o @ SY242 @ SV16 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(224,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ~ ( ~ ( meet @ SV17 @ SV41 @ SV56 )
| ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY243: $i] :
( ~ ~ ( ~ ( incident_c @ SY243 @ SV41 )
| ~ ( incident_c @ SY243 @ SV56 ) )
| ~ ( ~ ( end_point @ SY243 @ SV41 )
| ~ ( end_point @ SY243 @ SV56 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
| ( meet @ SV17 @ SV41 @ SV56 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(225,plain,
! [SV18: $i,SV42: $i] :
( ( ( end_point @ SV42 @ SV18 )
= $false )
| ( ( ~ ! [SY213: $i] :
~ ~ ( ~ ( end_point @ SY213 @ SV18 )
| ~ ( ( SV42 != SY213 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(226,plain,
! [SV19: $i] :
( ( ~ ( open @ SV19 )
| ~ ! [SY153: $i] :
~ ( end_point @ SY153 @ SV19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(227,plain,
! [SV19: $i] :
( ( ~ ~ ! [SY154: $i] :
~ ( end_point @ SY154 @ SV19 )
| ( open @ SV19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(228,plain,
! [SV57: $i,SV43: $i,SV63: $i,SV20: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( closed @ SV20 )
| ~ ( meet @ SV63 @ SV43 @ SV57 ) )
| ( SV20
!= ( sum @ SV43 @ SV57 ) ) )
| ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(229,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ~ ( ~ ( ~ ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
| ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
| ( between_o @ SV21 @ SV44 @ SV58 @ SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(230,plain,
! [SV45: $i,SV22: $i] :
( ( ( ~ ! [SY219: $i] :
~ ( meet @ SY219 @ SV22 @ SV45 ) )
= $false )
| ( ( ~ ! [SY220: $i] :
( SY220
!= ( sum @ SV22 @ SV45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(231,plain,
! [SV23: $i] :
( ( ~ ( closed @ SV23 )
| ~ ~ ! [SY165: $i] :
~ ( end_point @ SY165 @ SV23 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(232,plain,
! [SV23: $i] :
( ( ~ ~ ~ ! [SY166: $i] :
~ ( end_point @ SY166 @ SV23 )
| ( closed @ SV23 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(233,plain,
! [SV46: $i,SV24: $i] :
( ( ( ! [SY221: $i] :
~ ( ~ ( ~ ( incident_c @ SY221 @ SV24 )
| ( incident_c @ SY221 @ SV46 ) )
| ~ ( ~ ( incident_c @ SY221 @ SV46 )
| ( incident_c @ SY221 @ SV24 ) ) ) )
= $false )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(234,plain,
! [SV47: $i,SV25: $i] :
( ( ( ! [SY222: $i,SY223: $i] :
~ ( ~ ( ~ ( ordered_by @ SV25 @ SY222 @ SY223 )
| ( ordered_by @ SV47 @ SY222 @ SY223 ) )
| ~ ( ~ ( ordered_by @ SV47 @ SY222 @ SY223 )
| ( ordered_by @ SV25 @ SY222 @ SY223 ) ) ) )
= $false )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(235,plain,
! [SV48: $i,SV26: $i] :
( ( ~ ( ~ ( start_point @ SV26 @ SV48 )
| ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY224: $i] :
( ~ ~ ( ~ ( ( SV26 != SY224 ) )
| ~ ( incident_o @ SY224 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY224 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(236,plain,
! [SV48: $i,SV26: $i] :
( ( ~ ( ~ ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV26 != SY225 ) )
| ~ ( incident_o @ SY225 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY225 ) ) )
| ( start_point @ SV26 @ SV48 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(237,plain,
! [SV65: $i,SV59: $i,SV49: $i,SV27: $i] :
( ( ~ ( ~ ( ~ ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
| ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY257 @ SV27 )
| ~ ( end_point @ SV49 @ SY257 ) )
| ~ ( end_point @ SV65 @ SY257 ) )
| ~ ( inner_point @ SV59 @ SY257 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) )
| ( between_c @ SV27 @ SV49 @ SV59 @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(238,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ~ ( ~ ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
| ~ ! [SY251: $i] :
~ ~ ( ~ ! [SY252: $i] :
~ ( ~ ( ~ ( incident_o @ SY252 @ SV60 )
| ( incident_c @ SY252 @ SY251 ) )
| ~ ( ~ ( incident_c @ SY252 @ SY251 )
| ( incident_o @ SY252 @ SV60 ) ) )
| ~ ( between_c @ SY251 @ SV1 @ SV28 @ SV50 ) ) )
| ~ ( ~ ~ ! [SY253: $i] :
~ ~ ( ~ ! [SY254: $i] :
~ ( ~ ( ~ ( incident_o @ SY254 @ SV60 )
| ( incident_c @ SY254 @ SY253 ) )
| ~ ( ~ ( incident_c @ SY254 @ SY253 )
| ( incident_o @ SY254 @ SV60 ) ) )
| ~ ( between_c @ SY253 @ SV1 @ SV28 @ SV50 ) )
| ( between_o @ SV60 @ SV1 @ SV28 @ SV50 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(239,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( open @ SV51 )
| ~ ( ( SV2 != SV29 ) ) )
| ~ ( incident_c @ SV2 @ SV51 ) )
| ~ ( incident_c @ SV29 @ SV51 ) ) )
= $false )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(240,plain,
! [SV30: $i,SV3: $i] :
( ( ~ ( finish_point @ SV3 @ SV30 )
| ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY189: $i] :
( ~ ~ ( ~ ( ( SV3 != SY189 ) )
| ~ ( incident_o @ SY189 @ SV30 ) )
| ( ordered_by @ SV30 @ SY189 @ SV3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(241,plain,
! [SV30: $i,SV3: $i] :
( ( ~ ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY190: $i] :
( ~ ~ ( ~ ( ( SV3 != SY190 ) )
| ~ ( incident_o @ SY190 @ SV30 ) )
| ( ordered_by @ SV30 @ SY190 @ SV3 ) ) )
| ( finish_point @ SV3 @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(242,plain,
! [SV31: $i,SV4: $i] :
( ( ~ ( end_point @ SV4 @ SV31 )
| ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY191: $i,SY192: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY191 @ SV31 )
| ~ ( part_of @ SY192 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY191 ) )
| ~ ( incident_c @ SV4 @ SY192 ) )
| ( part_of @ SY191 @ SY192 )
| ( part_of @ SY192 @ SY191 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(243,plain,
! [SV31: $i,SV4: $i] :
( ( ~ ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY193 @ SV31 )
| ~ ( part_of @ SY194 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY193 ) )
| ~ ( incident_c @ SV4 @ SY194 ) )
| ( part_of @ SY193 @ SY194 )
| ( part_of @ SY194 @ SY193 ) ) )
| ( end_point @ SV4 @ SV31 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(244,plain,
! [SV5: $i,SV32: $i] :
( ( ~ ( part_of @ SV32 @ SV5 )
| ! [SY195: $i] :
( ~ ( incident_c @ SY195 @ SV32 )
| ( incident_c @ SY195 @ SV5 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(245,plain,
! [SV5: $i,SV32: $i] :
( ( ~ ! [SY196: $i] :
( ~ ( incident_c @ SY196 @ SV32 )
| ( incident_c @ SY196 @ SV5 ) )
| ( part_of @ SV32 @ SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(246,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) )
| ~ ( part_of @ SV61 @ SV6 ) )
| ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(247,plain,
! [SV53: $i,SV34: $i,SV8: $i] :
( ( ~ ( ( SV8
!= ( sum @ SV34 @ SV53 ) )
| ! [SY239: $i] :
~ ( ~ ( ~ ( incident_c @ SY239 @ SV8 )
| ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ( incident_c @ SY239 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(248,plain,
! [SV53: $i,SV34: $i,SV8: $i] :
( ( ~ ( ~ ! [SY240: $i] :
~ ( ~ ( ~ ( incident_c @ SY240 @ SV8 )
| ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ( incident_c @ SY240 @ SV8 ) ) )
| ( SV8
= ( sum @ SV34 @ SV53 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(249,plain,
! [SV9: $i,SV35: $i] :
( ( ( ~ ( part_of @ SV35 @ SV9 )
| ~ ( ( SV35 != SV9 ) ) )
= $true )
| ( ( open @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(250,plain,
! [SV62: $i,SV54: $i,SV10: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ SV10 )
| ~ ( end_point @ SV54 @ SV10 ) )
| ~ ( end_point @ SV62 @ SV10 ) ) )
= $true )
| ( ( ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(251,plain,
! [SV11: $i,SV37: $i] :
( ( ( ! [SY205: $i] :
~ ~ ! [SY206: $i] :
~ ~ ( ~ ( meet @ SV37 @ SY205 @ SY206 )
| ( SV11
!= ( sum @ SY205 @ SY206 ) ) ) )
= $false )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(252,plain,
! [SV55: $i,SV38: $i,SV12: $i] :
( ( ( ordered_by @ SV12 @ SV38 @ SV55 )
= $false )
| ( ( ~ ( ~ ( incident_o @ SV38 @ SV12 )
| ~ ( incident_o @ SV55 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(253,plain,
! [SV39: $i,SV14: $i] :
( ( ~ ( inner_point @ SV14 @ SV39 )
| ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(254,plain,
! [SV39: $i,SV14: $i] :
( ( ~ ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) )
| ( inner_point @ SV14 @ SV39 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(255,plain,
! [SV40: $i,SV15: $i] :
( ( ( SV15
!= ( underlying_curve @ SV40 ) )
| ! [SY208: $i] :
~ ( ~ ( ~ ( incident_o @ SY208 @ SV40 )
| ( incident_c @ SY208 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY208 @ SV15 )
| ( incident_o @ SY208 @ SV40 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(256,plain,
! [SV15: $i,SV40: $i] :
( ( ~ ! [SY209: $i] :
~ ( ~ ( ~ ( incident_o @ SY209 @ SV40 )
| ( incident_c @ SY209 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY209 @ SV15 )
| ( incident_o @ SY209 @ SV40 ) ) )
| ( SV15
= ( underlying_curve @ SV40 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(257,plain,
! [SV16: $i] :
( ( ~ ( open @ ( sK6_SY145 @ SV16 ) )
| ~ ! [SY242: $i] :
~ ( ~ ( ~ ( incident_o @ SY242 @ SV16 )
| ( incident_c @ SY242 @ ( sK6_SY145 @ SV16 ) ) )
| ~ ( ~ ( incident_c @ SY242 @ ( sK6_SY145 @ SV16 ) )
| ( incident_o @ SY242 @ SV16 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(258,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ~ ( ~ ( meet @ SV17 @ SV41 @ SV56 )
| ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY243: $i] :
( ~ ~ ( ~ ( incident_c @ SY243 @ SV41 )
| ~ ( incident_c @ SY243 @ SV56 ) )
| ~ ( ~ ( end_point @ SY243 @ SV41 )
| ~ ( end_point @ SY243 @ SV56 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(259,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
| ( meet @ SV17 @ SV41 @ SV56 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(260,plain,
! [SV42: $i,SV18: $i] :
( ( ( ! [SY213: $i] :
~ ~ ( ~ ( end_point @ SY213 @ SV18 )
| ~ ( ( SV42 != SY213 ) ) ) )
= $false )
| ( ( end_point @ SV42 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(261,plain,
! [SV19: $i] :
( ( ( ~ ( open @ SV19 ) )
= $true )
| ( ( ~ ! [SY153: $i] :
~ ( end_point @ SY153 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(262,plain,
! [SV19: $i] :
( ( ( ~ ~ ! [SY154: $i] :
~ ( end_point @ SY154 @ SV19 ) )
= $true )
| ( ( open @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(263,plain,
! [SV57: $i,SV43: $i,SV63: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( closed @ SV20 )
| ~ ( meet @ SV63 @ SV43 @ SV57 ) )
| ( SV20
!= ( sum @ SV43 @ SV57 ) ) ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(264,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ~ ( ~ ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
| ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
| ~ ( ~ ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
| ( between_o @ SV21 @ SV44 @ SV58 @ SV64 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(265,plain,
! [SV45: $i,SV22: $i] :
( ( ( ! [SY219: $i] :
~ ( meet @ SY219 @ SV22 @ SV45 ) )
= $true )
| ( ( ~ ! [SY220: $i] :
( SY220
!= ( sum @ SV22 @ SV45 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(266,plain,
! [SV23: $i] :
( ( ( ~ ( closed @ SV23 ) )
= $true )
| ( ( ~ ~ ! [SY165: $i] :
~ ( end_point @ SY165 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(267,plain,
! [SV23: $i] :
( ( ( ~ ~ ~ ! [SY166: $i] :
~ ( end_point @ SY166 @ SV23 ) )
= $true )
| ( ( closed @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(268,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 ) )
| ~ ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 ) ) ) )
= $false )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[233]) ).
thf(269,plain,
! [SV47: $i,SV25: $i] :
( ( ( ! [SY259: $i] :
~ ( ~ ( ~ ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ SY259 )
| ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ SY259 ) )
| ~ ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ SY259 )
| ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ SY259 ) ) ) )
= $false )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[234]) ).
thf(270,plain,
! [SV48: $i,SV26: $i] :
( ( ~ ( start_point @ SV26 @ SV48 )
| ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY224: $i] :
( ~ ~ ( ~ ( ( SV26 != SY224 ) )
| ~ ( incident_o @ SY224 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY224 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(271,plain,
! [SV48: $i,SV26: $i] :
( ( ~ ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV26 != SY225 ) )
| ~ ( incident_o @ SY225 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY225 ) ) )
| ( start_point @ SV26 @ SV48 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(272,plain,
! [SV65: $i,SV59: $i,SV49: $i,SV27: $i] :
( ( ~ ( ~ ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
| ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY257 @ SV27 )
| ~ ( end_point @ SV49 @ SY257 ) )
| ~ ( end_point @ SV65 @ SY257 ) )
| ~ ( inner_point @ SV59 @ SY257 ) ) ) )
| ~ ( ~ ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) )
| ( between_c @ SV27 @ SV49 @ SV59 @ SV65 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(273,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ~ ( ~ ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
| ~ ! [SY251: $i] :
~ ~ ( ~ ! [SY252: $i] :
~ ( ~ ( ~ ( incident_o @ SY252 @ SV60 )
| ( incident_c @ SY252 @ SY251 ) )
| ~ ( ~ ( incident_c @ SY252 @ SY251 )
| ( incident_o @ SY252 @ SV60 ) ) )
| ~ ( between_c @ SY251 @ SV1 @ SV28 @ SV50 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(274,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ~ ( ~ ~ ! [SY253: $i] :
~ ~ ( ~ ! [SY254: $i] :
~ ( ~ ( ~ ( incident_o @ SY254 @ SV60 )
| ( incident_c @ SY254 @ SY253 ) )
| ~ ( ~ ( incident_c @ SY254 @ SY253 )
| ( incident_o @ SY254 @ SV60 ) ) )
| ~ ( between_c @ SY253 @ SV1 @ SV28 @ SV50 ) )
| ( between_o @ SV60 @ SV1 @ SV28 @ SV50 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[238]) ).
thf(275,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( open @ SV51 )
| ~ ( ( SV2 != SV29 ) ) )
| ~ ( incident_c @ SV2 @ SV51 ) )
| ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(276,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( finish_point @ SV3 @ SV30 ) )
= $true )
| ( ( ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY189: $i] :
( ~ ~ ( ~ ( ( SV3 != SY189 ) )
| ~ ( incident_o @ SY189 @ SV30 ) )
| ( ordered_by @ SV30 @ SY189 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(277,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY190: $i] :
( ~ ~ ( ~ ( ( SV3 != SY190 ) )
| ~ ( incident_o @ SY190 @ SV30 ) )
| ( ordered_by @ SV30 @ SY190 @ SV3 ) ) ) )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(278,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( end_point @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY191: $i,SY192: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY191 @ SV31 )
| ~ ( part_of @ SY192 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY191 ) )
| ~ ( incident_c @ SV4 @ SY192 ) )
| ( part_of @ SY191 @ SY192 )
| ( part_of @ SY192 @ SY191 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(279,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY193 @ SV31 )
| ~ ( part_of @ SY194 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY193 ) )
| ~ ( incident_c @ SV4 @ SY194 ) )
| ( part_of @ SY193 @ SY194 )
| ( part_of @ SY194 @ SY193 ) ) ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(280,plain,
! [SV5: $i,SV32: $i] :
( ( ( ~ ( part_of @ SV32 @ SV5 ) )
= $true )
| ( ( ! [SY195: $i] :
( ~ ( incident_c @ SY195 @ SV32 )
| ( incident_c @ SY195 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(281,plain,
! [SV5: $i,SV32: $i] :
( ( ( ~ ! [SY196: $i] :
( ~ ( incident_c @ SY196 @ SV32 )
| ( incident_c @ SY196 @ SV5 ) ) )
= $true )
| ( ( part_of @ SV32 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(282,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) )
| ~ ( part_of @ SV61 @ SV6 ) )
| ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) ) )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(283,plain,
! [SV53: $i,SV34: $i,SV8: $i] :
( ( ( SV8
!= ( sum @ SV34 @ SV53 ) )
| ! [SY239: $i] :
~ ( ~ ( ~ ( incident_c @ SY239 @ SV8 )
| ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ( incident_c @ SY239 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(284,plain,
! [SV53: $i,SV34: $i,SV8: $i] :
( ( ~ ! [SY240: $i] :
~ ( ~ ( ~ ( incident_c @ SY240 @ SV8 )
| ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ( incident_c @ SY240 @ SV8 ) ) )
| ( SV8
= ( sum @ SV34 @ SV53 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(285,plain,
! [SV9: $i,SV35: $i] :
( ( ( ~ ( part_of @ SV35 @ SV9 ) )
= $true )
| ( ( ~ ( ( SV35 != SV9 ) ) )
= $true )
| ( ( open @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(286,plain,
! [SV62: $i,SV54: $i,SV10: $i,SV36: $i] :
( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV36 @ SV10 )
| ~ ( end_point @ SV54 @ SV10 ) )
| ~ ( end_point @ SV62 @ SV10 ) ) )
= $false )
| ( ( ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(287,plain,
! [SV11: $i,SV37: $i] :
( ( ( ~ ~ ! [SY260: $i] :
~ ~ ( ~ ( meet @ SV37 @ ( sK9_SY205 @ SV11 @ SV37 ) @ SY260 )
| ( SV11
!= ( sum @ ( sK9_SY205 @ SV11 @ SV37 ) @ SY260 ) ) ) )
= $false )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[251]) ).
thf(288,plain,
! [SV55: $i,SV12: $i,SV38: $i] :
( ( ( ~ ( incident_o @ SV38 @ SV12 )
| ~ ( incident_o @ SV55 @ SV12 ) )
= $false )
| ( ( ordered_by @ SV12 @ SV38 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(289,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ( inner_point @ SV14 @ SV39 ) )
= $true )
| ( ( ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(290,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) ) )
= $true )
| ( ( inner_point @ SV14 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(291,plain,
! [SV40: $i,SV15: $i] :
( ( ( SV15
!= ( underlying_curve @ SV40 ) )
= $true )
| ( ( ! [SY208: $i] :
~ ( ~ ( ~ ( incident_o @ SY208 @ SV40 )
| ( incident_c @ SY208 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY208 @ SV15 )
| ( incident_o @ SY208 @ SV40 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(292,plain,
! [SV15: $i,SV40: $i] :
( ( ( ~ ! [SY209: $i] :
~ ( ~ ( ~ ( incident_o @ SY209 @ SV40 )
| ( incident_c @ SY209 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY209 @ SV15 )
| ( incident_o @ SY209 @ SV40 ) ) ) )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(293,plain,
! [SV16: $i] :
( ( ~ ( open @ ( sK6_SY145 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(294,plain,
! [SV16: $i] :
( ( ~ ! [SY242: $i] :
~ ( ~ ( ~ ( incident_o @ SY242 @ SV16 )
| ( incident_c @ SY242 @ ( sK6_SY145 @ SV16 ) ) )
| ~ ( ~ ( incident_c @ SY242 @ ( sK6_SY145 @ SV16 ) )
| ( incident_o @ SY242 @ SV16 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(295,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ~ ( meet @ SV17 @ SV41 @ SV56 )
| ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY243: $i] :
( ~ ~ ( ~ ( incident_c @ SY243 @ SV41 )
| ~ ( incident_c @ SY243 @ SV56 ) )
| ~ ( ~ ( end_point @ SY243 @ SV41 )
| ~ ( end_point @ SY243 @ SV56 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(296,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
| ( meet @ SV17 @ SV41 @ SV56 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(297,plain,
! [SV18: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ( end_point @ ( sK10_SY213 @ SV42 @ SV18 ) @ SV18 )
| ~ ( ( SV42
!= ( sK10_SY213 @ SV42 @ SV18 ) ) ) ) )
= $false )
| ( ( end_point @ SV42 @ SV18 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[260]) ).
thf(298,plain,
! [SV19: $i] :
( ( ( open @ SV19 )
= $false )
| ( ( ~ ! [SY153: $i] :
~ ( end_point @ SY153 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(299,plain,
! [SV19: $i] :
( ( ( ~ ! [SY154: $i] :
~ ( end_point @ SY154 @ SV19 ) )
= $false )
| ( ( open @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(300,plain,
! [SV57: $i,SV43: $i,SV63: $i,SV20: $i] :
( ( ( ~ ( ~ ~ ( ~ ( closed @ SV20 )
| ~ ( meet @ SV63 @ SV43 @ SV57 ) )
| ( SV20
!= ( sum @ SV43 @ SV57 ) ) ) )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(301,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ~ ( ~ ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
| ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(302,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ~ ( ~ ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
| ( between_o @ SV21 @ SV44 @ SV58 @ SV64 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(303,plain,
! [SV45: $i,SV22: $i,SV66: $i] :
( ( ( ~ ( meet @ SV66 @ SV22 @ SV45 ) )
= $true )
| ( ( ~ ! [SY220: $i] :
( SY220
!= ( sum @ SV22 @ SV45 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(304,plain,
! [SV23: $i] :
( ( ( closed @ SV23 )
= $false )
| ( ( ~ ~ ! [SY165: $i] :
~ ( end_point @ SY165 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(305,plain,
! [SV23: $i] :
( ( ( ~ ~ ! [SY166: $i] :
~ ( end_point @ SY166 @ SV23 ) )
= $false )
| ( ( closed @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(306,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 ) )
| ~ ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 ) ) )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(307,plain,
! [SV47: $i,SV25: $i] :
( ( ( ~ ( ~ ( ~ ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) )
| ~ ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) ) ) )
= $false )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[269]) ).
thf(308,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ( start_point @ SV26 @ SV48 ) )
= $true )
| ( ( ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY224: $i] :
( ~ ~ ( ~ ( ( SV26 != SY224 ) )
| ~ ( incident_o @ SY224 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY224 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(309,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV26 != SY225 ) )
| ~ ( incident_o @ SY225 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY225 ) ) ) )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(310,plain,
! [SV65: $i,SV59: $i,SV49: $i,SV27: $i] :
( ( ~ ( ~ ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
| ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY257 @ SV27 )
| ~ ( end_point @ SV49 @ SY257 ) )
| ~ ( end_point @ SV65 @ SY257 ) )
| ~ ( inner_point @ SV59 @ SY257 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(311,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ~ ( ~ ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) )
| ( between_c @ SV27 @ SV49 @ SV59 @ SV65 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(312,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ~ ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
| ~ ! [SY251: $i] :
~ ~ ( ~ ! [SY252: $i] :
~ ( ~ ( ~ ( incident_o @ SY252 @ SV60 )
| ( incident_c @ SY252 @ SY251 ) )
| ~ ( ~ ( incident_c @ SY252 @ SY251 )
| ( incident_o @ SY252 @ SV60 ) ) )
| ~ ( between_c @ SY251 @ SV1 @ SV28 @ SV50 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(313,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ~ ~ ! [SY253: $i] :
~ ~ ( ~ ! [SY254: $i] :
~ ( ~ ( ~ ( incident_o @ SY254 @ SV60 )
| ( incident_c @ SY254 @ SY253 ) )
| ~ ( ~ ( incident_c @ SY254 @ SY253 )
| ( incident_o @ SY254 @ SV60 ) ) )
| ~ ( between_c @ SY253 @ SV1 @ SV28 @ SV50 ) )
| ( between_o @ SV60 @ SV1 @ SV28 @ SV50 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(314,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( open @ SV51 )
| ~ ( ( SV2 != SV29 ) ) )
| ~ ( incident_c @ SV2 @ SV51 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(315,plain,
! [SV30: $i,SV3: $i] :
( ( ( finish_point @ SV3 @ SV30 )
= $false )
| ( ( ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY189: $i] :
( ~ ~ ( ~ ( ( SV3 != SY189 ) )
| ~ ( incident_o @ SY189 @ SV30 ) )
| ( ordered_by @ SV30 @ SY189 @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(316,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY190: $i] :
( ~ ~ ( ~ ( ( SV3 != SY190 ) )
| ~ ( incident_o @ SY190 @ SV30 ) )
| ( ordered_by @ SV30 @ SY190 @ SV3 ) ) ) )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(317,plain,
! [SV31: $i,SV4: $i] :
( ( ( end_point @ SV4 @ SV31 )
= $false )
| ( ( ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY191: $i,SY192: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY191 @ SV31 )
| ~ ( part_of @ SY192 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY191 ) )
| ~ ( incident_c @ SV4 @ SY192 ) )
| ( part_of @ SY191 @ SY192 )
| ( part_of @ SY192 @ SY191 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(318,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY193 @ SV31 )
| ~ ( part_of @ SY194 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY193 ) )
| ~ ( incident_c @ SV4 @ SY194 ) )
| ( part_of @ SY193 @ SY194 )
| ( part_of @ SY194 @ SY193 ) ) ) )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(319,plain,
! [SV5: $i,SV32: $i] :
( ( ( part_of @ SV32 @ SV5 )
= $false )
| ( ( ! [SY195: $i] :
( ~ ( incident_c @ SY195 @ SV32 )
| ( incident_c @ SY195 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(320,plain,
! [SV5: $i,SV32: $i] :
( ( ( ! [SY196: $i] :
( ~ ( incident_c @ SY196 @ SV32 )
| ( incident_c @ SY196 @ SV5 ) ) )
= $false )
| ( ( part_of @ SV32 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(321,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) )
| ~ ( part_of @ SV61 @ SV6 ) )
| ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(322,plain,
! [SV53: $i,SV34: $i,SV8: $i] :
( ( ( SV8
!= ( sum @ SV34 @ SV53 ) )
= $true )
| ( ( ! [SY239: $i] :
~ ( ~ ( ~ ( incident_c @ SY239 @ SV8 )
| ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ( incident_c @ SY239 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(323,plain,
! [SV53: $i,SV34: $i,SV8: $i] :
( ( ( ~ ! [SY240: $i] :
~ ( ~ ( ~ ( incident_c @ SY240 @ SV8 )
| ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ( incident_c @ SY240 @ SV8 ) ) ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(324,plain,
! [SV9: $i,SV35: $i] :
( ( ( part_of @ SV35 @ SV9 )
= $false )
| ( ( ~ ( ( SV35 != SV9 ) ) )
= $true )
| ( ( open @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(325,plain,
! [SV62: $i,SV54: $i,SV10: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ( end_point @ SV36 @ SV10 )
| ~ ( end_point @ SV54 @ SV10 ) )
| ~ ( end_point @ SV62 @ SV10 ) )
= $true )
| ( ( ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(326,plain,
! [SV11: $i,SV37: $i] :
( ( ( ~ ! [SY260: $i] :
~ ~ ( ~ ( meet @ SV37 @ ( sK9_SY205 @ SV11 @ SV37 ) @ SY260 )
| ( SV11
!= ( sum @ ( sK9_SY205 @ SV11 @ SV37 ) @ SY260 ) ) ) )
= $true )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(327,plain,
! [SV55: $i,SV12: $i,SV38: $i] :
( ( ( ~ ( incident_o @ SV38 @ SV12 ) )
= $false )
| ( ( ordered_by @ SV12 @ SV38 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(328,plain,
! [SV38: $i,SV12: $i,SV55: $i] :
( ( ( ~ ( incident_o @ SV55 @ SV12 ) )
= $false )
| ( ( ordered_by @ SV12 @ SV38 @ SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(329,plain,
! [SV39: $i,SV14: $i] :
( ( ( inner_point @ SV14 @ SV39 )
= $false )
| ( ( ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(330,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) ) )
= $false )
| ( ( inner_point @ SV14 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(331,plain,
! [SV40: $i,SV15: $i] :
( ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false )
| ( ( ! [SY208: $i] :
~ ( ~ ( ~ ( incident_o @ SY208 @ SV40 )
| ( incident_c @ SY208 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY208 @ SV15 )
| ( incident_o @ SY208 @ SV40 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(332,plain,
! [SV15: $i,SV40: $i] :
( ( ( ! [SY209: $i] :
~ ( ~ ( ~ ( incident_o @ SY209 @ SV40 )
| ( incident_c @ SY209 @ SV15 ) )
| ~ ( ~ ( incident_c @ SY209 @ SV15 )
| ( incident_o @ SY209 @ SV40 ) ) ) )
= $false )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(333,plain,
! [SV16: $i] :
( ( open @ ( sK6_SY145 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(334,plain,
! [SV16: $i] :
( ( ! [SY242: $i] :
~ ( ~ ( ~ ( incident_o @ SY242 @ SV16 )
| ( incident_c @ SY242 @ ( sK6_SY145 @ SV16 ) ) )
| ~ ( ~ ( incident_c @ SY242 @ ( sK6_SY145 @ SV16 ) )
| ( incident_o @ SY242 @ SV16 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(335,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ( meet @ SV17 @ SV41 @ SV56 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY243: $i] :
( ~ ~ ( ~ ( incident_c @ SY243 @ SV41 )
| ~ ( incident_c @ SY243 @ SV56 ) )
| ~ ( ~ ( end_point @ SY243 @ SV41 )
| ~ ( end_point @ SY243 @ SV56 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(336,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(337,plain,
! [SV18: $i,SV42: $i] :
( ( ( ~ ( ~ ( end_point @ ( sK10_SY213 @ SV42 @ SV18 ) @ SV18 )
| ~ ( ( SV42
!= ( sK10_SY213 @ SV42 @ SV18 ) ) ) ) )
= $true )
| ( ( end_point @ SV42 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(338,plain,
! [SV19: $i] :
( ( ( ! [SY153: $i] :
~ ( end_point @ SY153 @ SV19 ) )
= $false )
| ( ( open @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(339,plain,
! [SV19: $i] :
( ( ( ! [SY154: $i] :
~ ( end_point @ SY154 @ SV19 ) )
= $true )
| ( ( open @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(340,plain,
! [SV57: $i,SV43: $i,SV63: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( closed @ SV20 )
| ~ ( meet @ SV63 @ SV43 @ SV57 ) )
| ( SV20
!= ( sum @ SV43 @ SV57 ) ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(341,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ~ ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
| ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(342,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ~ ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
| ( between_o @ SV21 @ SV44 @ SV58 @ SV64 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(343,plain,
! [SV45: $i,SV22: $i,SV66: $i] :
( ( ( meet @ SV66 @ SV22 @ SV45 )
= $false )
| ( ( ~ ! [SY220: $i] :
( SY220
!= ( sum @ SV22 @ SV45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(344,plain,
! [SV23: $i] :
( ( ( ~ ! [SY165: $i] :
~ ( end_point @ SY165 @ SV23 ) )
= $false )
| ( ( closed @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(345,plain,
! [SV23: $i] :
( ( ( ~ ! [SY166: $i] :
~ ( end_point @ SY166 @ SV23 ) )
= $true )
| ( ( closed @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(346,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 ) ) )
= $true )
| ( ( ~ ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 ) ) )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(347,plain,
! [SV47: $i,SV25: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) )
| ~ ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(348,plain,
! [SV48: $i,SV26: $i] :
( ( ( start_point @ SV26 @ SV48 )
= $false )
| ( ( ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY224: $i] :
( ~ ~ ( ~ ( ( SV26 != SY224 ) )
| ~ ( incident_o @ SY224 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY224 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(349,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV26 != SY225 ) )
| ~ ( incident_o @ SY225 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY225 ) ) ) )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(350,plain,
! [SV65: $i,SV59: $i,SV49: $i,SV27: $i] :
( ( ~ ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
| ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY257 @ SV27 )
| ~ ( end_point @ SV49 @ SY257 ) )
| ~ ( end_point @ SV65 @ SY257 ) )
| ~ ( inner_point @ SV59 @ SY257 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(351,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ~ ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) )
| ( between_c @ SV27 @ SV49 @ SV59 @ SV65 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(352,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ( ~ ( between_o @ SV60 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( ~ ! [SY251: $i] :
~ ~ ( ~ ! [SY252: $i] :
~ ( ~ ( ~ ( incident_o @ SY252 @ SV60 )
| ( incident_c @ SY252 @ SY251 ) )
| ~ ( ~ ( incident_c @ SY252 @ SY251 )
| ( incident_o @ SY252 @ SV60 ) ) )
| ~ ( between_c @ SY251 @ SV1 @ SV28 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(353,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ( ~ ~ ! [SY253: $i] :
~ ~ ( ~ ! [SY254: $i] :
~ ( ~ ( ~ ( incident_o @ SY254 @ SV60 )
| ( incident_c @ SY254 @ SY253 ) )
| ~ ( ~ ( incident_c @ SY254 @ SY253 )
| ( incident_o @ SY254 @ SV60 ) ) )
| ~ ( between_c @ SY253 @ SV1 @ SV28 @ SV50 ) ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(354,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ( open @ SV51 )
| ~ ( ( SV2 != SV29 ) ) )
| ~ ( incident_c @ SV2 @ SV51 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(355,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY189: $i] :
( ~ ~ ( ~ ( ( SV3 != SY189 ) )
| ~ ( incident_o @ SY189 @ SV30 ) )
| ( ordered_by @ SV30 @ SY189 @ SV3 ) ) )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(356,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( incident_o @ SV3 @ SV30 )
| ~ ! [SY190: $i] :
( ~ ~ ( ~ ( ( SV3 != SY190 ) )
| ~ ( incident_o @ SY190 @ SV30 ) )
| ( ordered_by @ SV30 @ SY190 @ SV3 ) ) )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(357,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY191: $i,SY192: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY191 @ SV31 )
| ~ ( part_of @ SY192 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY191 ) )
| ~ ( incident_c @ SV4 @ SY192 ) )
| ( part_of @ SY191 @ SY192 )
| ( part_of @ SY192 @ SY191 ) ) )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(358,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( incident_c @ SV4 @ SV31 )
| ~ ! [SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY193 @ SV31 )
| ~ ( part_of @ SY194 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY193 ) )
| ~ ( incident_c @ SV4 @ SY194 ) )
| ( part_of @ SY193 @ SY194 )
| ( part_of @ SY194 @ SY193 ) ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(359,plain,
! [SV5: $i,SV32: $i,SV67: $i] :
( ( ( ~ ( incident_c @ SV67 @ SV32 )
| ( incident_c @ SV67 @ SV5 ) )
= $true )
| ( ( part_of @ SV32 @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(360,plain,
! [SV32: $i,SV5: $i] :
( ( ( ~ ( incident_c @ ( sK12_SY196 @ SV5 @ SV32 ) @ SV32 )
| ( incident_c @ ( sK12_SY196 @ SV5 @ SV32 ) @ SV5 ) )
= $false )
| ( ( part_of @ SV32 @ SV5 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[320]) ).
thf(361,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) )
| ~ ( part_of @ SV61 @ SV6 ) ) )
= $true )
| ( ( ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(362,plain,
! [SV53: $i,SV34: $i,SV8: $i] :
( ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false )
| ( ( ! [SY239: $i] :
~ ( ~ ( ~ ( incident_c @ SY239 @ SV8 )
| ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY239 @ SV34 )
| ( incident_c @ SY239 @ SV53 ) )
| ( incident_c @ SY239 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(363,plain,
! [SV53: $i,SV34: $i,SV8: $i] :
( ( ( ! [SY240: $i] :
~ ( ~ ( ~ ( incident_c @ SY240 @ SV8 )
| ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SY240 @ SV34 )
| ( incident_c @ SY240 @ SV53 ) )
| ( incident_c @ SY240 @ SV8 ) ) ) )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(364,plain,
! [SV9: $i,SV35: $i] :
( ( ( SV35 != SV9 )
= $false )
| ( ( part_of @ SV35 @ SV9 )
= $false )
| ( ( open @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(365,plain,
! [SV62: $i,SV54: $i,SV10: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ( end_point @ SV36 @ SV10 )
| ~ ( end_point @ SV54 @ SV10 ) ) )
= $true )
| ( ( ~ ( end_point @ SV62 @ SV10 ) )
= $true )
| ( ( ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(366,plain,
! [SV11: $i,SV37: $i] :
( ( ( ! [SY260: $i] :
~ ~ ( ~ ( meet @ SV37 @ ( sK9_SY205 @ SV11 @ SV37 ) @ SY260 )
| ( SV11
!= ( sum @ ( sK9_SY205 @ SV11 @ SV37 ) @ SY260 ) ) ) )
= $false )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(367,plain,
! [SV55: $i,SV12: $i,SV38: $i] :
( ( ( incident_o @ SV38 @ SV12 )
= $true )
| ( ( ordered_by @ SV12 @ SV38 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(368,plain,
! [SV38: $i,SV12: $i,SV55: $i] :
( ( ( incident_o @ SV55 @ SV12 )
= $true )
| ( ( ordered_by @ SV12 @ SV38 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(369,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) )
= $false )
| ( ( inner_point @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(370,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ( incident_c @ SV14 @ SV39 )
| ~ ~ ( end_point @ SV14 @ SV39 ) )
= $true )
| ( ( inner_point @ SV14 @ SV39 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(371,plain,
! [SV15: $i,SV40: $i,SV68: $i] :
( ( ( ~ ( ~ ( ~ ( incident_o @ SV68 @ SV40 )
| ( incident_c @ SV68 @ SV15 ) )
| ~ ( ~ ( incident_c @ SV68 @ SV15 )
| ( incident_o @ SV68 @ SV40 ) ) ) )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(372,plain,
! [SV40: $i,SV15: $i] :
( ( ( ~ ( ~ ( ~ ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
| ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 ) )
| ~ ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
| ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 ) ) ) )
= $false )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[332]) ).
thf(373,plain,
! [SV16: $i,SV69: $i] :
( ( ~ ( ~ ( ~ ( incident_o @ SV69 @ SV16 )
| ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) ) )
| ~ ( ~ ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) )
| ( incident_o @ SV69 @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(374,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( meet @ SV17 @ SV41 @ SV56 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY243: $i] :
( ~ ~ ( ~ ( incident_c @ SY243 @ SV41 )
| ~ ( incident_c @ SY243 @ SV56 ) )
| ~ ( ~ ( end_point @ SY243 @ SV41 )
| ~ ( end_point @ SY243 @ SV56 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(375,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) ) )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(376,plain,
! [SV18: $i,SV42: $i] :
( ( ( ~ ( end_point @ ( sK10_SY213 @ SV42 @ SV18 ) @ SV18 )
| ~ ( ( SV42
!= ( sK10_SY213 @ SV42 @ SV18 ) ) ) )
= $false )
| ( ( end_point @ SV42 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(377,plain,
! [SV19: $i] :
( ( ( ~ ( end_point @ ( sK14_SY153 @ SV19 ) @ SV19 ) )
= $false )
| ( ( open @ SV19 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[338]) ).
thf(378,plain,
! [SV19: $i,SV70: $i] :
( ( ( ~ ( end_point @ SV70 @ SV19 ) )
= $true )
| ( ( open @ SV19 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(379,plain,
! [SV57: $i,SV43: $i,SV63: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( closed @ SV20 )
| ~ ( meet @ SV63 @ SV43 @ SV57 ) ) )
= $true )
| ( ( SV20
!= ( sum @ SV43 @ SV57 ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(380,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ~ ( between_o @ SV21 @ SV44 @ SV58 @ SV64 ) )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(381,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ~ ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(382,plain,
! [SV66: $i,SV45: $i,SV22: $i] :
( ( ( ! [SY220: $i] :
( SY220
!= ( sum @ SV22 @ SV45 ) ) )
= $false )
| ( ( meet @ SV66 @ SV22 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(383,plain,
! [SV23: $i] :
( ( ( ! [SY165: $i] :
~ ( end_point @ SY165 @ SV23 ) )
= $true )
| ( ( closed @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(384,plain,
! [SV23: $i] :
( ( ( ! [SY166: $i] :
~ ( end_point @ SY166 @ SV23 ) )
= $false )
| ( ( closed @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(385,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 ) )
= $false )
| ( ( ~ ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 ) ) )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(386,plain,
! [SV47: $i,SV25: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(387,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY224: $i] :
( ~ ~ ( ~ ( ( SV26 != SY224 ) )
| ~ ( incident_o @ SY224 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY224 ) ) )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(388,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ( incident_o @ SV26 @ SV48 )
| ~ ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV26 != SY225 ) )
| ~ ( incident_o @ SY225 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY225 ) ) )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(389,plain,
! [SV65: $i,SV59: $i,SV49: $i,SV27: $i] :
( ( ( ~ ( between_c @ SV27 @ SV49 @ SV59 @ SV65 ) )
= $true )
| ( ( ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY257 @ SV27 )
| ~ ( end_point @ SV49 @ SY257 ) )
| ~ ( end_point @ SV65 @ SY257 ) )
| ~ ( inner_point @ SV59 @ SY257 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(390,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(391,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false )
| ( ( ~ ! [SY251: $i] :
~ ~ ( ~ ! [SY252: $i] :
~ ( ~ ( ~ ( incident_o @ SY252 @ SV60 )
| ( incident_c @ SY252 @ SY251 ) )
| ~ ( ~ ( incident_c @ SY252 @ SY251 )
| ( incident_o @ SY252 @ SV60 ) ) )
| ~ ( between_c @ SY251 @ SV1 @ SV28 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(392,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ( ~ ! [SY253: $i] :
~ ~ ( ~ ! [SY254: $i] :
~ ( ~ ( ~ ( incident_o @ SY254 @ SV60 )
| ( incident_c @ SY254 @ SY253 ) )
| ~ ( ~ ( incident_c @ SY254 @ SY253 )
| ( incident_o @ SY254 @ SV60 ) ) )
| ~ ( between_c @ SY253 @ SV1 @ SV28 @ SV50 ) ) )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(393,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ( open @ SV51 )
| ~ ( ( SV2 != SV29 ) ) )
| ~ ( incident_c @ SV2 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(394,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( incident_o @ SV3 @ SV30 ) )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(395,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ! [SY189: $i] :
( ~ ~ ( ~ ( ( SV3 != SY189 ) )
| ~ ( incident_o @ SY189 @ SV30 ) )
| ( ordered_by @ SV30 @ SY189 @ SV3 ) ) )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(396,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( incident_o @ SV3 @ SV30 ) )
= $true )
| ( ( ~ ! [SY190: $i] :
( ~ ~ ( ~ ( ( SV3 != SY190 ) )
| ~ ( incident_o @ SY190 @ SV30 ) )
| ( ordered_by @ SV30 @ SY190 @ SV3 ) ) )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(397,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( incident_c @ SV4 @ SV31 ) )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(398,plain,
! [SV4: $i,SV31: $i] :
( ( ( ~ ! [SY191: $i,SY192: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY191 @ SV31 )
| ~ ( part_of @ SY192 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY191 ) )
| ~ ( incident_c @ SV4 @ SY192 ) )
| ( part_of @ SY191 @ SY192 )
| ( part_of @ SY192 @ SY191 ) ) )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(399,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( incident_c @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ! [SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY193 @ SV31 )
| ~ ( part_of @ SY194 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY193 ) )
| ~ ( incident_c @ SV4 @ SY194 ) )
| ( part_of @ SY193 @ SY194 )
| ( part_of @ SY194 @ SY193 ) ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(400,plain,
! [SV5: $i,SV32: $i,SV67: $i] :
( ( ( ~ ( incident_c @ SV67 @ SV32 ) )
= $true )
| ( ( incident_c @ SV67 @ SV5 )
= $true )
| ( ( part_of @ SV32 @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(401,plain,
! [SV32: $i,SV5: $i] :
( ( ( ~ ( incident_c @ ( sK12_SY196 @ SV5 @ SV32 ) @ SV32 ) )
= $false )
| ( ( part_of @ SV32 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(402,plain,
! [SV32: $i,SV5: $i] :
( ( ( incident_c @ ( sK12_SY196 @ SV5 @ SV32 ) @ SV5 )
= $false )
| ( ( part_of @ SV32 @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[360]) ).
thf(403,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( ~ ( ~ ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) )
| ~ ( part_of @ SV61 @ SV6 ) ) )
= $false )
| ( ( ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(404,plain,
! [SV53: $i,SV34: $i,SV8: $i,SV71: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ SV71 @ SV8 )
| ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) )
| ( incident_c @ SV71 @ SV8 ) ) ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(405,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ~ ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) ) ) )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[363]) ).
thf(406,plain,
! [SV9: $i,SV35: $i] :
( ( ( SV35 = SV9 )
= $true )
| ( ( part_of @ SV35 @ SV9 )
= $false )
| ( ( open @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(407,plain,
! [SV62: $i,SV54: $i,SV10: $i,SV36: $i] :
( ( ( ~ ( ~ ( end_point @ SV36 @ SV10 )
| ~ ( end_point @ SV54 @ SV10 ) ) )
= $false )
| ( ( ~ ( end_point @ SV62 @ SV10 ) )
= $true )
| ( ( ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(408,plain,
! [SV11: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( meet @ SV37 @ ( sK9_SY205 @ SV11 @ SV37 ) @ ( sK16_SY260 @ SV11 @ SV37 ) )
| ( SV11
!= ( sum @ ( sK9_SY205 @ SV11 @ SV37 ) @ ( sK16_SY260 @ SV11 @ SV37 ) ) ) ) )
= $false )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[366]) ).
thf(409,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ( incident_c @ SV14 @ SV39 ) )
= $false )
| ( ( inner_point @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(410,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ~ ( end_point @ SV14 @ SV39 ) )
= $false )
| ( ( inner_point @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(411,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ( incident_c @ SV14 @ SV39 ) )
= $true )
| ( ( ~ ~ ( end_point @ SV14 @ SV39 ) )
= $true )
| ( ( inner_point @ SV14 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(412,plain,
! [SV15: $i,SV40: $i,SV68: $i] :
( ( ( ~ ( ~ ( incident_o @ SV68 @ SV40 )
| ( incident_c @ SV68 @ SV15 ) )
| ~ ( ~ ( incident_c @ SV68 @ SV15 )
| ( incident_o @ SV68 @ SV40 ) ) )
= $false )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(413,plain,
! [SV40: $i,SV15: $i] :
( ( ( ~ ( ~ ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
| ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 ) )
| ~ ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
| ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 ) ) )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(414,plain,
! [SV16: $i,SV69: $i] :
( ( ~ ( ~ ( incident_o @ SV69 @ SV16 )
| ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) ) )
| ~ ( ~ ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) )
| ( incident_o @ SV69 @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(415,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY243: $i] :
( ~ ~ ( ~ ( incident_c @ SY243 @ SV41 )
| ~ ( incident_c @ SY243 @ SV56 ) )
| ~ ( ~ ( end_point @ SY243 @ SV41 )
| ~ ( end_point @ SY243 @ SV56 ) ) ) )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(416,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
| ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(417,plain,
! [SV18: $i,SV42: $i] :
( ( ( ~ ( end_point @ ( sK10_SY213 @ SV42 @ SV18 ) @ SV18 ) )
= $false )
| ( ( end_point @ SV42 @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(418,plain,
! [SV18: $i,SV42: $i] :
( ( ( ~ ( ( SV42
!= ( sK10_SY213 @ SV42 @ SV18 ) ) ) )
= $false )
| ( ( end_point @ SV42 @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(419,plain,
! [SV19: $i] :
( ( ( end_point @ ( sK14_SY153 @ SV19 ) @ SV19 )
= $true )
| ( ( open @ SV19 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(420,plain,
! [SV19: $i,SV70: $i] :
( ( ( end_point @ SV70 @ SV19 )
= $false )
| ( ( open @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(421,plain,
! [SV57: $i,SV43: $i,SV63: $i,SV20: $i] :
( ( ( ~ ( ~ ( closed @ SV20 )
| ~ ( meet @ SV63 @ SV43 @ SV57 ) ) )
= $false )
| ( ( SV20
!= ( sum @ SV43 @ SV57 ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(422,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(423,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
| ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $false )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(424,plain,
! [SV22: $i,SV45: $i,SV66: $i] :
( ( ( ( sK17_SY220 @ SV66 @ SV45 @ SV22 )
!= ( sum @ SV22 @ SV45 ) )
= $false )
| ( ( meet @ SV66 @ SV22 @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[382]) ).
thf(425,plain,
! [SV23: $i,SV72: $i] :
( ( ( ~ ( end_point @ SV72 @ SV23 ) )
= $true )
| ( ( closed @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(426,plain,
! [SV23: $i] :
( ( ( ~ ( end_point @ ( sK18_SY166 @ SV23 ) @ SV23 ) )
= $false )
| ( ( closed @ SV23 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[384]) ).
thf(427,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 ) )
= $false )
| ( ( ~ ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 ) ) )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(428,plain,
! [SV24: $i,SV46: $i] :
( ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
= $false )
| ( ( ~ ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 ) ) )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(429,plain,
! [SV47: $i,SV25: $i] :
( ( ( ~ ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(430,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ( incident_o @ SV26 @ SV48 ) )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(431,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ! [SY224: $i] :
( ~ ~ ( ~ ( ( SV26 != SY224 ) )
| ~ ( incident_o @ SY224 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY224 ) ) )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(432,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ( incident_o @ SV26 @ SV48 ) )
= $true )
| ( ( ~ ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV26 != SY225 ) )
| ~ ( incident_o @ SY225 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY225 ) ) )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(433,plain,
! [SV65: $i,SV59: $i,SV49: $i,SV27: $i] :
( ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false )
| ( ( ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY257 @ SV27 )
| ~ ( end_point @ SV49 @ SY257 ) )
| ~ ( end_point @ SV65 @ SY257 ) )
| ~ ( inner_point @ SV59 @ SY257 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(434,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ( ~ ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(435,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ( ! [SY251: $i] :
~ ~ ( ~ ! [SY252: $i] :
~ ( ~ ( ~ ( incident_o @ SY252 @ SV60 )
| ( incident_c @ SY252 @ SY251 ) )
| ~ ( ~ ( incident_c @ SY252 @ SY251 )
| ( incident_o @ SY252 @ SV60 ) ) )
| ~ ( between_c @ SY251 @ SV1 @ SV28 @ SV50 ) ) )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(436,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV60: $i] :
( ( ( ! [SY253: $i] :
~ ~ ( ~ ! [SY254: $i] :
~ ( ~ ( ~ ( incident_o @ SY254 @ SV60 )
| ( incident_c @ SY254 @ SY253 ) )
| ~ ( ~ ( incident_c @ SY254 @ SY253 )
| ( incident_o @ SY254 @ SV60 ) ) )
| ~ ( between_c @ SY253 @ SV1 @ SV28 @ SV50 ) ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(437,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ( open @ SV51 )
| ~ ( ( SV2 != SV29 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV2 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(438,plain,
! [SV30: $i,SV3: $i] :
( ( ( incident_o @ SV3 @ SV30 )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(439,plain,
! [SV30: $i,SV3: $i] :
( ( ( ! [SY189: $i] :
( ~ ~ ( ~ ( ( SV3 != SY189 ) )
| ~ ( incident_o @ SY189 @ SV30 ) )
| ( ordered_by @ SV30 @ SY189 @ SV3 ) ) )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(440,plain,
! [SV30: $i,SV3: $i] :
( ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( ~ ! [SY190: $i] :
( ~ ~ ( ~ ( ( SV3 != SY190 ) )
| ~ ( incident_o @ SY190 @ SV30 ) )
| ( ordered_by @ SV30 @ SY190 @ SV3 ) ) )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(441,plain,
! [SV31: $i,SV4: $i] :
( ( ( incident_c @ SV4 @ SV31 )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(442,plain,
! [SV4: $i,SV31: $i] :
( ( ( ! [SY191: $i,SY192: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY191 @ SV31 )
| ~ ( part_of @ SY192 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY191 ) )
| ~ ( incident_c @ SV4 @ SY192 ) )
| ( part_of @ SY191 @ SY192 )
| ( part_of @ SY192 @ SY191 ) ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(443,plain,
! [SV31: $i,SV4: $i] :
( ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( ~ ! [SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY193 @ SV31 )
| ~ ( part_of @ SY194 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY193 ) )
| ~ ( incident_c @ SV4 @ SY194 ) )
| ( part_of @ SY193 @ SY194 )
| ( part_of @ SY194 @ SY193 ) ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(444,plain,
! [SV5: $i,SV32: $i,SV67: $i] :
( ( ( incident_c @ SV67 @ SV32 )
= $false )
| ( ( incident_c @ SV67 @ SV5 )
= $true )
| ( ( part_of @ SV32 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(445,plain,
! [SV32: $i,SV5: $i] :
( ( ( incident_c @ ( sK12_SY196 @ SV5 @ SV32 ) @ SV32 )
= $true )
| ( ( part_of @ SV32 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(446,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) )
| ~ ( part_of @ SV61 @ SV6 ) )
= $true )
| ( ( ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(447,plain,
! [SV53: $i,SV34: $i,SV8: $i,SV71: $i] :
( ( ( ~ ( ~ ( incident_c @ SV71 @ SV8 )
| ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) )
| ~ ( ~ ( ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) )
| ( incident_c @ SV71 @ SV8 ) ) )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(448,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ~ ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(449,plain,
! [SV62: $i,SV54: $i,SV10: $i,SV36: $i] :
( ( ( ~ ( end_point @ SV36 @ SV10 )
| ~ ( end_point @ SV54 @ SV10 ) )
= $true )
| ( ( ~ ( end_point @ SV62 @ SV10 ) )
= $true )
| ( ( ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(450,plain,
! [SV11: $i,SV37: $i] :
( ( ( ~ ( ~ ( meet @ SV37 @ ( sK9_SY205 @ SV11 @ SV37 ) @ ( sK16_SY260 @ SV11 @ SV37 ) )
| ( SV11
!= ( sum @ ( sK9_SY205 @ SV11 @ SV37 ) @ ( sK16_SY260 @ SV11 @ SV37 ) ) ) ) )
= $true )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(451,plain,
! [SV39: $i,SV14: $i] :
( ( ( incident_c @ SV14 @ SV39 )
= $true )
| ( ( inner_point @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(452,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ( end_point @ SV14 @ SV39 ) )
= $true )
| ( ( inner_point @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(453,plain,
! [SV39: $i,SV14: $i] :
( ( ( incident_c @ SV14 @ SV39 )
= $false )
| ( ( ~ ~ ( end_point @ SV14 @ SV39 ) )
= $true )
| ( ( inner_point @ SV14 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(454,plain,
! [SV15: $i,SV40: $i,SV68: $i] :
( ( ( ~ ( ~ ( incident_o @ SV68 @ SV40 )
| ( incident_c @ SV68 @ SV15 ) ) )
= $false )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(455,plain,
! [SV40: $i,SV15: $i,SV68: $i] :
( ( ( ~ ( ~ ( incident_c @ SV68 @ SV15 )
| ( incident_o @ SV68 @ SV40 ) ) )
= $false )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(456,plain,
! [SV40: $i,SV15: $i] :
( ( ( ~ ( ~ ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
| ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 ) ) )
= $true )
| ( ( ~ ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
| ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 ) ) )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(457,plain,
! [SV16: $i,SV69: $i] :
( ( ~ ( ~ ( incident_o @ SV69 @ SV16 )
| ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(458,plain,
! [SV16: $i,SV69: $i] :
( ( ~ ( ~ ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) )
| ( incident_o @ SV69 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(459,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) ) )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(460,plain,
! [SV17: $i,SV56: $i,SV41: $i] :
( ( ( ~ ! [SY243: $i] :
( ~ ~ ( ~ ( incident_c @ SY243 @ SV41 )
| ~ ( incident_c @ SY243 @ SV56 ) )
| ~ ( ~ ( end_point @ SY243 @ SV41 )
| ~ ( end_point @ SY243 @ SV56 ) ) ) )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(461,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) ) )
= $true )
| ( ( ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(462,plain,
! [SV18: $i,SV42: $i] :
( ( ( end_point @ ( sK10_SY213 @ SV42 @ SV18 ) @ SV18 )
= $true )
| ( ( end_point @ SV42 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(463,plain,
! [SV18: $i,SV42: $i] :
( ( ( SV42
!= ( sK10_SY213 @ SV42 @ SV18 ) )
= $true )
| ( ( end_point @ SV42 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(464,plain,
! [SV57: $i,SV43: $i,SV63: $i,SV20: $i] :
( ( ( ~ ( closed @ SV20 )
| ~ ( meet @ SV63 @ SV43 @ SV57 ) )
= $true )
| ( ( SV20
!= ( sum @ SV43 @ SV57 ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(465,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) ) )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(466,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) ) )
= $false )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(467,plain,
! [SV44: $i,SV58: $i,SV64: $i,SV21: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $false )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(468,plain,
! [SV22: $i,SV45: $i,SV66: $i] :
( ( ( ( sK17_SY220 @ SV66 @ SV45 @ SV22 )
= ( sum @ SV22 @ SV45 ) )
= $true )
| ( ( meet @ SV66 @ SV22 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(469,plain,
! [SV23: $i,SV72: $i] :
( ( ( end_point @ SV72 @ SV23 )
= $false )
| ( ( closed @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(470,plain,
! [SV23: $i] :
( ( ( end_point @ ( sK18_SY166 @ SV23 ) @ SV23 )
= $true )
| ( ( closed @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(471,plain,
! [SV24: $i,SV46: $i] :
( ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
= $true )
| ( ( ~ ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 ) ) )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(472,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 ) )
= $false )
| ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
= $false )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(473,plain,
! [SV47: $i,SV25: $i] :
( ( ( ~ ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(474,plain,
! [SV25: $i,SV47: $i] :
( ( ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(475,plain,
! [SV48: $i,SV26: $i] :
( ( ( incident_o @ SV26 @ SV48 )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(476,plain,
! [SV48: $i,SV26: $i] :
( ( ( ! [SY224: $i] :
( ~ ~ ( ~ ( ( SV26 != SY224 ) )
| ~ ( incident_o @ SY224 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY224 ) ) )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(477,plain,
! [SV48: $i,SV26: $i] :
( ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( ~ ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV26 != SY225 ) )
| ~ ( incident_o @ SY225 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY225 ) ) )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(478,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY257 @ SV27 )
| ~ ( end_point @ SV49 @ SY257 ) )
| ~ ( end_point @ SV65 @ SY257 ) )
| ~ ( inner_point @ SV59 @ SY257 ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(479,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ( ~ ( ( SV49 != SV65 ) )
| ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(480,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i] :
( ( ( ~ ~ ( ~ ! [SY261: $i] :
~ ( ~ ( ~ ( incident_o @ SY261 @ SV60 )
| ( incident_c @ SY261 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) ) )
| ~ ( ~ ( incident_c @ SY261 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
| ( incident_o @ SY261 @ SV60 ) ) )
| ~ ( between_c @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) @ SV1 @ SV28 @ SV50 ) ) )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[435]) ).
thf(481,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV73: $i,SV60: $i] :
( ( ( ~ ~ ( ~ ! [SY262: $i] :
~ ( ~ ( ~ ( incident_o @ SY262 @ SV60 )
| ( incident_c @ SY262 @ SV73 ) )
| ~ ( ~ ( incident_c @ SY262 @ SV73 )
| ( incident_o @ SY262 @ SV60 ) ) )
| ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(482,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ~ ( ~ ( open @ SV51 )
| ~ ( ( SV2 != SV29 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV2 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(483,plain,
! [SV30: $i,SV74: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ( SV3 != SV74 ) )
| ~ ( incident_o @ SV74 @ SV30 ) )
| ( ordered_by @ SV30 @ SV74 @ SV3 ) )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(484,plain,
! [SV30: $i,SV3: $i] :
( ( ( ! [SY190: $i] :
( ~ ~ ( ~ ( ( SV3 != SY190 ) )
| ~ ( incident_o @ SY190 @ SV30 ) )
| ( ordered_by @ SV30 @ SY190 @ SV3 ) ) )
= $false )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(485,plain,
! [SV4: $i,SV31: $i,SV75: $i] :
( ( ( ! [SY263: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SY263 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SV75 ) )
| ~ ( incident_c @ SV4 @ SY263 ) )
| ( part_of @ SV75 @ SY263 )
| ( part_of @ SY263 @ SV75 ) ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(486,plain,
! [SV4: $i,SV31: $i] :
( ( ( ! [SY193: $i,SY194: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY193 @ SV31 )
| ~ ( part_of @ SY194 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SY193 ) )
| ~ ( incident_c @ SV4 @ SY194 ) )
| ( part_of @ SY193 @ SY194 )
| ( part_of @ SY194 @ SY193 ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(487,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) ) )
= $true )
| ( ( ~ ( part_of @ SV61 @ SV6 ) )
= $true )
| ( ( ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(488,plain,
! [SV53: $i,SV34: $i,SV8: $i,SV71: $i] :
( ( ( ~ ( ~ ( incident_c @ SV71 @ SV8 )
| ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) ) )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(489,plain,
! [SV8: $i,SV53: $i,SV34: $i,SV71: $i] :
( ( ( ~ ( ~ ( ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) )
| ( incident_c @ SV71 @ SV8 ) ) )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(490,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) ) )
= $true )
| ( ( ~ ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(491,plain,
! [SV62: $i,SV54: $i,SV10: $i,SV36: $i] :
( ( ( ~ ( end_point @ SV36 @ SV10 ) )
= $true )
| ( ( ~ ( end_point @ SV54 @ SV10 ) )
= $true )
| ( ( ~ ( end_point @ SV62 @ SV10 ) )
= $true )
| ( ( ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(492,plain,
! [SV11: $i,SV37: $i] :
( ( ( ~ ( meet @ SV37 @ ( sK9_SY205 @ SV11 @ SV37 ) @ ( sK16_SY260 @ SV11 @ SV37 ) )
| ( SV11
!= ( sum @ ( sK9_SY205 @ SV11 @ SV37 ) @ ( sK16_SY260 @ SV11 @ SV37 ) ) ) )
= $false )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(493,plain,
! [SV39: $i,SV14: $i] :
( ( ( end_point @ SV14 @ SV39 )
= $false )
| ( ( inner_point @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(494,plain,
! [SV39: $i,SV14: $i] :
( ( ( ~ ( end_point @ SV14 @ SV39 ) )
= $false )
| ( ( incident_c @ SV14 @ SV39 )
= $false )
| ( ( inner_point @ SV14 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(495,plain,
! [SV15: $i,SV40: $i,SV68: $i] :
( ( ( ~ ( incident_o @ SV68 @ SV40 )
| ( incident_c @ SV68 @ SV15 ) )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[454]) ).
thf(496,plain,
! [SV40: $i,SV15: $i,SV68: $i] :
( ( ( ~ ( incident_c @ SV68 @ SV15 )
| ( incident_o @ SV68 @ SV40 ) )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(497,plain,
! [SV40: $i,SV15: $i] :
( ( ( ~ ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
| ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 ) )
= $false )
| ( ( ~ ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
| ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 ) ) )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(498,plain,
! [SV16: $i,SV69: $i] :
( ( ~ ( incident_o @ SV69 @ SV16 )
| ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(499,plain,
! [SV16: $i,SV69: $i] :
( ( ~ ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) )
| ( incident_o @ SV69 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(500,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(501,plain,
! [SV17: $i,SV56: $i,SV41: $i] :
( ( ( ! [SY243: $i] :
( ~ ~ ( ~ ( incident_c @ SY243 @ SV41 )
| ~ ( incident_c @ SY243 @ SV56 ) )
| ~ ( ~ ( end_point @ SY243 @ SV41 )
| ~ ( end_point @ SY243 @ SV56 ) ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(502,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) ) )
= $false )
| ( ( ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(503,plain,
! [SV18: $i,SV42: $i] :
( ( ( SV42
= ( sK10_SY213 @ SV42 @ SV18 ) )
= $false )
| ( ( end_point @ SV42 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(504,plain,
! [SV57: $i,SV43: $i,SV63: $i,SV20: $i] :
( ( ( ~ ( closed @ SV20 ) )
= $true )
| ( ( ~ ( meet @ SV63 @ SV43 @ SV57 ) )
= $true )
| ( ( SV20
!= ( sum @ SV43 @ SV57 ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(505,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(506,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(507,plain,
! [SV44: $i,SV58: $i,SV64: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(508,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
| ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 ) )
= $false )
| ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(509,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 ) )
= $false )
| ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
= $false )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(510,plain,
! [SV24: $i,SV46: $i] :
( ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
= $false )
| ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
= $false )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(511,plain,
! [SV47: $i,SV25: $i] :
( ( ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(512,plain,
! [SV25: $i,SV47: $i] :
( ( ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) )
= $false )
| ( ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $false )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(513,plain,
! [SV48: $i,SV76: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( ( SV26 != SV76 ) )
| ~ ( incident_o @ SV76 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SV76 ) )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(514,plain,
! [SV48: $i,SV26: $i] :
( ( ( ! [SY225: $i] :
( ~ ~ ( ~ ( ( SV26 != SY225 ) )
| ~ ( incident_o @ SY225 @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ SY225 ) ) )
= $false )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(515,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ( ~ ( ( SV49 != SV65 ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(516,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i] :
( ( ( ~ ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY257 @ SV27 )
| ~ ( end_point @ SV49 @ SY257 ) )
| ~ ( end_point @ SV65 @ SY257 ) )
| ~ ( inner_point @ SV59 @ SY257 ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(517,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ( ~ ( ( SV49 != SV65 ) ) )
= $true )
| ( ( ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(518,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i] :
( ( ( ~ ( ~ ! [SY261: $i] :
~ ( ~ ( ~ ( incident_o @ SY261 @ SV60 )
| ( incident_c @ SY261 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) ) )
| ~ ( ~ ( incident_c @ SY261 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
| ( incident_o @ SY261 @ SV60 ) ) )
| ~ ( between_c @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) @ SV1 @ SV28 @ SV50 ) ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(519,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV73: $i,SV60: $i] :
( ( ( ~ ( ~ ! [SY262: $i] :
~ ( ~ ( ~ ( incident_o @ SY262 @ SV60 )
| ( incident_c @ SY262 @ SV73 ) )
| ~ ( ~ ( incident_c @ SY262 @ SV73 )
| ( incident_o @ SY262 @ SV60 ) ) )
| ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) ) )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(520,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ~ ( open @ SV51 )
| ~ ( ( SV2 != SV29 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV2 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(521,plain,
! [SV30: $i,SV74: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ( SV3 != SV74 ) )
| ~ ( incident_o @ SV74 @ SV30 ) ) )
= $true )
| ( ( ordered_by @ SV30 @ SV74 @ SV3 )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(522,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ( SV3
!= ( sK20_SY190 @ SV30 @ SV3 ) ) )
| ~ ( incident_o @ ( sK20_SY190 @ SV30 @ SV3 ) @ SV30 ) )
| ( ordered_by @ SV30 @ ( sK20_SY190 @ SV30 @ SV3 ) @ SV3 ) )
= $false )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[484]) ).
thf(523,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SV77 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SV75 ) )
| ~ ( incident_c @ SV4 @ SV77 ) )
| ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(524,plain,
! [SV31: $i,SV4: $i] :
( ( ( ! [SY264: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ SY264 @ SV31 ) )
| ~ ( incident_c @ SV4 @ ( sK21_SY193 @ SV4 @ SV31 ) ) )
| ~ ( incident_c @ SV4 @ SY264 ) )
| ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SY264 )
| ( part_of @ SY264 @ ( sK21_SY193 @ SV4 @ SV31 ) ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[486]) ).
thf(525,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( ~ ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) ) )
= $false )
| ( ( ~ ( part_of @ SV61 @ SV6 ) )
= $true )
| ( ( ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(526,plain,
! [SV53: $i,SV34: $i,SV8: $i,SV71: $i] :
( ( ( ~ ( incident_c @ SV71 @ SV8 )
| ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(527,plain,
! [SV8: $i,SV53: $i,SV34: $i,SV71: $i] :
( ( ( ~ ( ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) )
| ( incident_c @ SV71 @ SV8 ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(528,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
= $false )
| ( ( ~ ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(529,plain,
! [SV62: $i,SV54: $i,SV10: $i,SV36: $i] :
( ( ( end_point @ SV36 @ SV10 )
= $false )
| ( ( ~ ( end_point @ SV54 @ SV10 ) )
= $true )
| ( ( ~ ( end_point @ SV62 @ SV10 ) )
= $true )
| ( ( ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(530,plain,
! [SV11: $i,SV37: $i] :
( ( ( ~ ( meet @ SV37 @ ( sK9_SY205 @ SV11 @ SV37 ) @ ( sK16_SY260 @ SV11 @ SV37 ) ) )
= $false )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(531,plain,
! [SV37: $i,SV11: $i] :
( ( ( SV11
!= ( sum @ ( sK9_SY205 @ SV11 @ SV37 ) @ ( sK16_SY260 @ SV11 @ SV37 ) ) )
= $false )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(532,plain,
! [SV39: $i,SV14: $i] :
( ( ( end_point @ SV14 @ SV39 )
= $true )
| ( ( incident_c @ SV14 @ SV39 )
= $false )
| ( ( inner_point @ SV14 @ SV39 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(533,plain,
! [SV15: $i,SV40: $i,SV68: $i] :
( ( ( ~ ( incident_o @ SV68 @ SV40 ) )
= $true )
| ( ( incident_c @ SV68 @ SV15 )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(534,plain,
! [SV40: $i,SV15: $i,SV68: $i] :
( ( ( ~ ( incident_c @ SV68 @ SV15 ) )
= $true )
| ( ( incident_o @ SV68 @ SV40 )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(535,plain,
! [SV40: $i,SV15: $i] :
( ( ( ~ ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 ) )
= $false )
| ( ( ~ ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
| ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 ) ) )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(536,plain,
! [SV40: $i,SV15: $i] :
( ( ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
= $false )
| ( ( ~ ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
| ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 ) ) )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(537,plain,
! [SV16: $i,SV69: $i] :
( ( ( ~ ( incident_o @ SV69 @ SV16 ) )
= $true )
| ( ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(538,plain,
! [SV16: $i,SV69: $i] :
( ( ( ~ ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) ) )
= $true )
| ( ( incident_o @ SV69 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(539,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(540,plain,
! [SV17: $i,SV56: $i,SV41: $i,SV78: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ SV78 @ SV41 )
| ~ ( incident_c @ SV78 @ SV56 ) )
| ~ ( ~ ( end_point @ SV78 @ SV41 )
| ~ ( end_point @ SV78 @ SV56 ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(541,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ( incident_c @ SV17 @ SV41 )
| ~ ( incident_c @ SV17 @ SV56 ) )
= $true )
| ( ( ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(542,plain,
! [SV57: $i,SV43: $i,SV63: $i,SV20: $i] :
( ( ( closed @ SV20 )
= $false )
| ( ( ~ ( meet @ SV63 @ SV43 @ SV57 ) )
= $true )
| ( ( SV20
!= ( sum @ SV43 @ SV57 ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(543,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(544,plain,
! [SV44: $i,SV64: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
= $false )
| ( ( ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(545,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV44 @ SV58 ) )
= $true )
| ( ( ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(546,plain,
! [SV44: $i,SV58: $i,SV64: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 ) )
= $true )
| ( ( ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(547,plain,
! [SV24: $i,SV46: $i] :
( ( ( ~ ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 ) )
= $false )
| ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(548,plain,
! [SV24: $i,SV46: $i] :
( ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
= $false )
| ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(549,plain,
! [SV24: $i,SV46: $i] :
( ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
= $true )
| ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
= $false )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(550,plain,
! [SV25: $i,SV47: $i] :
( ( ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
| ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) )
= $false )
| ( ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(551,plain,
! [SV25: $i,SV47: $i] :
( ( ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) )
= $false )
| ( ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $false )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(552,plain,
! [SV47: $i,SV25: $i] :
( ( ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $false )
| ( ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $false )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(553,plain,
! [SV48: $i,SV76: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( ( SV26 != SV76 ) )
| ~ ( incident_o @ SV76 @ SV48 ) ) )
= $true )
| ( ( ordered_by @ SV48 @ SV26 @ SV76 )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(554,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( ( SV26
!= ( sK22_SY225 @ SV48 @ SV26 ) ) )
| ~ ( incident_o @ ( sK22_SY225 @ SV48 @ SV26 ) @ SV48 ) )
| ( ordered_by @ SV48 @ SV26 @ ( sK22_SY225 @ SV48 @ SV26 ) ) )
= $false )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[514]) ).
thf(555,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ( SV49 != SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(556,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i] :
( ( ( ~ ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY257 @ SV27 )
| ~ ( end_point @ SV49 @ SY257 ) )
| ~ ( end_point @ SV65 @ SY257 ) )
| ~ ( inner_point @ SV59 @ SY257 ) ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(557,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ( SV49 != SV65 )
= $false )
| ( ( ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(558,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i] :
( ( ( ~ ! [SY261: $i] :
~ ( ~ ( ~ ( incident_o @ SY261 @ SV60 )
| ( incident_c @ SY261 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) ) )
| ~ ( ~ ( incident_c @ SY261 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
| ( incident_o @ SY261 @ SV60 ) ) )
| ~ ( between_c @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) @ SV1 @ SV28 @ SV50 ) )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(559,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV73: $i,SV60: $i] :
( ( ( ~ ! [SY262: $i] :
~ ( ~ ( ~ ( incident_o @ SY262 @ SV60 )
| ( incident_c @ SY262 @ SV73 ) )
| ~ ( ~ ( incident_c @ SY262 @ SV73 )
| ( incident_o @ SY262 @ SV60 ) ) )
| ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(560,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ~ ( open @ SV51 ) )
= $true )
| ( ( ~ ( ( SV2 != SV29 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV2 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(561,plain,
! [SV30: $i,SV74: $i,SV3: $i] :
( ( ( ~ ( ~ ( ( SV3 != SV74 ) )
| ~ ( incident_o @ SV74 @ SV30 ) ) )
= $false )
| ( ( ordered_by @ SV30 @ SV74 @ SV3 )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(562,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( ( SV3
!= ( sK20_SY190 @ SV30 @ SV3 ) ) )
| ~ ( incident_o @ ( sK20_SY190 @ SV30 @ SV3 ) @ SV30 ) ) )
= $false )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(563,plain,
! [SV3: $i,SV30: $i] :
( ( ( ordered_by @ SV30 @ ( sK20_SY190 @ SV30 @ SV3 ) @ SV3 )
= $false )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(564,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SV77 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SV75 ) )
| ~ ( incident_c @ SV4 @ SV77 ) ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(565,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) )
| ~ ( incident_c @ SV4 @ ( sK21_SY193 @ SV4 @ SV31 ) ) )
| ~ ( incident_c @ SV4 @ ( sK23_SY264 @ SV31 @ SV4 ) ) )
| ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ ( sK23_SY264 @ SV31 @ SV4 ) )
| ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ ( sK21_SY193 @ SV4 @ SV31 ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[524]) ).
thf(566,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( ~ ( part_of @ SV33 @ SV6 )
| ~ ( part_of @ SV52 @ SV6 ) )
= $true )
| ( ( ~ ( part_of @ SV61 @ SV6 ) )
= $true )
| ( ( ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(567,plain,
! [SV53: $i,SV34: $i,SV8: $i,SV71: $i] :
( ( ( ~ ( incident_c @ SV71 @ SV8 ) )
= $true )
| ( ( ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(568,plain,
! [SV8: $i,SV53: $i,SV34: $i,SV71: $i] :
( ( ( ~ ( ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) ) )
= $true )
| ( ( incident_c @ SV71 @ SV8 )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(569,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) )
= $false )
| ( ( ~ ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[528]) ).
thf(570,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
= $false )
| ( ( ~ ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[528]) ).
thf(571,plain,
! [SV62: $i,SV36: $i,SV10: $i,SV54: $i] :
( ( ( end_point @ SV54 @ SV10 )
= $false )
| ( ( end_point @ SV36 @ SV10 )
= $false )
| ( ( ~ ( end_point @ SV62 @ SV10 ) )
= $true )
| ( ( ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(572,plain,
! [SV11: $i,SV37: $i] :
( ( ( meet @ SV37 @ ( sK9_SY205 @ SV11 @ SV37 ) @ ( sK16_SY260 @ SV11 @ SV37 ) )
= $true )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(573,plain,
! [SV37: $i,SV11: $i] :
( ( ( SV11
= ( sum @ ( sK9_SY205 @ SV11 @ SV37 ) @ ( sK16_SY260 @ SV11 @ SV37 ) ) )
= $true )
| ( ( inner_point @ SV37 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(574,plain,
! [SV15: $i,SV40: $i,SV68: $i] :
( ( ( incident_o @ SV68 @ SV40 )
= $false )
| ( ( incident_c @ SV68 @ SV15 )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(575,plain,
! [SV40: $i,SV15: $i,SV68: $i] :
( ( ( incident_c @ SV68 @ SV15 )
= $false )
| ( ( incident_o @ SV68 @ SV40 )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(576,plain,
! [SV40: $i,SV15: $i] :
( ( ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
= $true )
| ( ( ~ ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
| ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 ) ) )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(577,plain,
! [SV40: $i,SV15: $i] :
( ( ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
| ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 ) )
= $false )
| ( ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
= $false )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(578,plain,
! [SV16: $i,SV69: $i] :
( ( ( incident_o @ SV69 @ SV16 )
= $false )
| ( ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(579,plain,
! [SV16: $i,SV69: $i] :
( ( ( incident_c @ SV69 @ ( sK6_SY145 @ SV16 ) )
= $false )
| ( ( incident_o @ SV69 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(580,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ( incident_c @ SV17 @ SV41 ) )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(581,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( ~ ( incident_c @ SV17 @ SV56 ) )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(582,plain,
! [SV17: $i,SV56: $i,SV41: $i,SV78: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ SV78 @ SV41 )
| ~ ( incident_c @ SV78 @ SV56 ) ) )
= $true )
| ( ( ~ ( ~ ( end_point @ SV78 @ SV41 )
| ~ ( end_point @ SV78 @ SV56 ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(583,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( ~ ( incident_c @ SV17 @ SV41 ) )
= $true )
| ( ( ~ ( incident_c @ SV17 @ SV56 ) )
= $true )
| ( ( ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(584,plain,
! [SV20: $i,SV57: $i,SV43: $i,SV63: $i] :
( ( ( meet @ SV63 @ SV43 @ SV57 )
= $false )
| ( ( closed @ SV20 )
= $false )
| ( ( SV20
!= ( sum @ SV43 @ SV57 ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(585,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ordered_by @ SV21 @ SV44 @ SV58 )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(586,plain,
! [SV44: $i,SV64: $i,SV58: $i,SV21: $i] :
( ( ( ordered_by @ SV21 @ SV58 @ SV64 )
= $true )
| ( ( ~ ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(587,plain,
! [SV64: $i,SV58: $i,SV44: $i,SV21: $i] :
( ( ( ordered_by @ SV21 @ SV44 @ SV58 )
= $false )
| ( ( ~ ( ordered_by @ SV21 @ SV58 @ SV64 ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(588,plain,
! [SV44: $i,SV58: $i,SV64: $i,SV21: $i] :
( ( ( ordered_by @ SV21 @ SV64 @ SV58 )
= $false )
| ( ( ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(589,plain,
! [SV24: $i,SV46: $i] :
( ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV46 )
= $true )
| ( ( incident_c @ ( sK7_SY221 @ SV46 @ SV24 ) @ SV24 )
= $true )
| ( ( SV24 = SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(590,plain,
! [SV25: $i,SV47: $i] :
( ( ( ~ ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) ) )
= $false )
| ( ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(591,plain,
! [SV47: $i,SV25: $i] :
( ( ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $false )
| ( ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(592,plain,
! [SV25: $i,SV47: $i] :
( ( ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $true )
| ( ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $false )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(593,plain,
! [SV48: $i,SV76: $i,SV26: $i] :
( ( ( ~ ( ~ ( ( SV26 != SV76 ) )
| ~ ( incident_o @ SV76 @ SV48 ) ) )
= $false )
| ( ( ordered_by @ SV48 @ SV26 @ SV76 )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(594,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( ( SV26
!= ( sK22_SY225 @ SV48 @ SV26 ) ) )
| ~ ( incident_o @ ( sK22_SY225 @ SV48 @ SV26 ) @ SV48 ) ) )
= $false )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(595,plain,
! [SV26: $i,SV48: $i] :
( ( ( ordered_by @ SV48 @ SV26 @ ( sK22_SY225 @ SV48 @ SV26 ) )
= $false )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(596,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ( SV49 = SV65 )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(597,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i] :
( ( ( ! [SY257: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY257 @ SV27 )
| ~ ( end_point @ SV49 @ SY257 ) )
| ~ ( end_point @ SV65 @ SY257 ) )
| ~ ( inner_point @ SV59 @ SY257 ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(598,plain,
! [SV59: $i,SV27: $i,SV65: $i,SV49: $i] :
( ( ( SV49 = SV65 )
= $true )
| ( ( ~ ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(599,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i] :
( ( ( ~ ! [SY261: $i] :
~ ( ~ ( ~ ( incident_o @ SY261 @ SV60 )
| ( incident_c @ SY261 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) ) )
| ~ ( ~ ( incident_c @ SY261 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
| ( incident_o @ SY261 @ SV60 ) ) ) )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(600,plain,
! [SV60: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( ~ ( between_c @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) @ SV1 @ SV28 @ SV50 ) )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(601,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV73: $i,SV60: $i] :
( ( ( ~ ! [SY262: $i] :
~ ( ~ ( ~ ( incident_o @ SY262 @ SV60 )
| ( incident_c @ SY262 @ SV73 ) )
| ~ ( ~ ( incident_c @ SY262 @ SV73 )
| ( incident_o @ SY262 @ SV60 ) ) ) )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(602,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( open @ SV51 )
= $false )
| ( ( ~ ( ( SV2 != SV29 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV2 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(603,plain,
! [SV30: $i,SV74: $i,SV3: $i] :
( ( ( ~ ( ( SV3 != SV74 ) )
| ~ ( incident_o @ SV74 @ SV30 ) )
= $true )
| ( ( ordered_by @ SV30 @ SV74 @ SV3 )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(604,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( ~ ( ( SV3
!= ( sK20_SY190 @ SV30 @ SV3 ) ) )
| ~ ( incident_o @ ( sK20_SY190 @ SV30 @ SV3 ) @ SV30 ) ) )
= $true )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(605,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SV77 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SV75 ) )
| ~ ( incident_c @ SV4 @ SV77 ) ) )
= $false )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(606,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) )
| ~ ( incident_c @ SV4 @ ( sK21_SY193 @ SV4 @ SV31 ) ) )
| ~ ( incident_c @ SV4 @ ( sK23_SY264 @ SV31 @ SV4 ) ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(607,plain,
! [SV31: $i,SV4: $i] :
( ( ( ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ ( sK23_SY264 @ SV31 @ SV4 ) )
| ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ ( sK21_SY193 @ SV4 @ SV31 ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(608,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( ~ ( part_of @ SV33 @ SV6 ) )
= $true )
| ( ( ~ ( part_of @ SV52 @ SV6 ) )
= $true )
| ( ( ~ ( part_of @ SV61 @ SV6 ) )
= $true )
| ( ( ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(609,plain,
! [SV53: $i,SV34: $i,SV8: $i,SV71: $i] :
( ( ( incident_c @ SV71 @ SV8 )
= $false )
| ( ( ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(610,plain,
! [SV8: $i,SV53: $i,SV34: $i,SV71: $i] :
( ( ( ( incident_c @ SV71 @ SV34 )
| ( incident_c @ SV71 @ SV53 ) )
= $false )
| ( ( incident_c @ SV71 @ SV8 )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(611,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
= $true )
| ( ( ~ ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(612,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
= $false )
| ( ( ~ ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(613,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 )
= $false )
| ( ( ~ ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) ) )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(614,plain,
! [SV54: $i,SV36: $i,SV10: $i,SV62: $i] :
( ( ( end_point @ SV62 @ SV10 )
= $false )
| ( ( end_point @ SV36 @ SV10 )
= $false )
| ( ( end_point @ SV54 @ SV10 )
= $false )
| ( ( ( SV36 = SV54 )
| ( SV36 = SV62 )
| ( SV54 = SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(615,plain,
! [SV40: $i,SV15: $i] :
( ( ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
| ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 ) )
= $false )
| ( ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(616,plain,
! [SV40: $i,SV15: $i] :
( ( ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 ) )
= $false )
| ( ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
= $false )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(617,plain,
! [SV40: $i,SV15: $i] :
( ( ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
= $false )
| ( ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
= $false )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[577]) ).
thf(618,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( incident_c @ SV17 @ SV41 )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(619,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( incident_c @ SV17 @ SV56 )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(620,plain,
! [SV17: $i,SV56: $i,SV41: $i,SV78: $i] :
( ( ( ~ ( ~ ( incident_c @ SV78 @ SV41 )
| ~ ( incident_c @ SV78 @ SV56 ) ) )
= $false )
| ( ( ~ ( ~ ( end_point @ SV78 @ SV41 )
| ~ ( end_point @ SV78 @ SV56 ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(621,plain,
! [SV56: $i,SV41: $i,SV17: $i] :
( ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( ~ ( incident_c @ SV17 @ SV56 ) )
= $true )
| ( ( ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(622,plain,
! [SV63: $i,SV57: $i,SV43: $i,SV20: $i] :
( ( ( SV20
= ( sum @ SV43 @ SV57 ) )
= $false )
| ( ( closed @ SV20 )
= $false )
| ( ( meet @ SV63 @ SV43 @ SV57 )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV43 )
| ( meet @ SY246 @ SV43 @ SV57 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(623,plain,
! [SV44: $i,SV58: $i,SV64: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) )
= $false )
| ( ( ordered_by @ SV21 @ SV44 @ SV58 )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(624,plain,
! [SV44: $i,SV58: $i,SV64: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 )
| ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) )
= $false )
| ( ( ordered_by @ SV21 @ SV58 @ SV64 )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(625,plain,
! [SV44: $i,SV64: $i,SV58: $i,SV21: $i] :
( ( ( ordered_by @ SV21 @ SV58 @ SV64 )
= $false )
| ( ( ordered_by @ SV21 @ SV44 @ SV58 )
= $false )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(626,plain,
! [SV64: $i,SV44: $i,SV58: $i,SV21: $i] :
( ( ( ordered_by @ SV21 @ SV58 @ SV44 )
= $false )
| ( ( ordered_by @ SV21 @ SV64 @ SV58 )
= $false )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(627,plain,
! [SV25: $i,SV47: $i] :
( ( ( ordered_by @ SV47 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $true )
| ( ( ordered_by @ SV25 @ ( sK8_SY222 @ SV47 @ SV25 ) @ ( sK11_SY259 @ SV47 @ SV25 ) )
= $true )
| ( ( SV25 = SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(628,plain,
! [SV48: $i,SV76: $i,SV26: $i] :
( ( ( ~ ( ( SV26 != SV76 ) )
| ~ ( incident_o @ SV76 @ SV48 ) )
= $true )
| ( ( ordered_by @ SV48 @ SV26 @ SV76 )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(629,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ( ~ ( ( SV26
!= ( sK22_SY225 @ SV48 @ SV26 ) ) )
| ~ ( incident_o @ ( sK22_SY225 @ SV48 @ SV26 ) @ SV48 ) ) )
= $true )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(630,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 )
| ~ ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
| ~ ( end_point @ SV65 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
| ~ ( inner_point @ SV59 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[597]) ).
thf(631,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i] :
( ( ( ~ ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) )
= $false )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(632,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i] :
( ( ( ! [SY261: $i] :
~ ( ~ ( ~ ( incident_o @ SY261 @ SV60 )
| ( incident_c @ SY261 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) ) )
| ~ ( ~ ( incident_c @ SY261 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
| ( incident_o @ SY261 @ SV60 ) ) ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(633,plain,
! [SV60: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( between_c @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) @ SV1 @ SV28 @ SV50 )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(634,plain,
! [SV50: $i,SV28: $i,SV1: $i,SV73: $i,SV60: $i] :
( ( ( ! [SY262: $i] :
~ ( ~ ( ~ ( incident_o @ SY262 @ SV60 )
| ( incident_c @ SY262 @ SV73 ) )
| ~ ( ~ ( incident_c @ SY262 @ SV73 )
| ( incident_o @ SY262 @ SV60 ) ) ) )
= $false )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(635,plain,
! [SV51: $i,SV29: $i,SV2: $i] :
( ( ( SV2 != SV29 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( ~ ( incident_c @ SV2 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(636,plain,
! [SV30: $i,SV74: $i,SV3: $i] :
( ( ( ~ ( ( SV3 != SV74 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV74 @ SV30 ) )
= $true )
| ( ( ordered_by @ SV30 @ SV74 @ SV3 )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(637,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( ( SV3
!= ( sK20_SY190 @ SV30 @ SV3 ) ) )
| ~ ( incident_o @ ( sK20_SY190 @ SV30 @ SV3 ) @ SV30 ) )
= $false )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(638,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SV77 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SV75 ) )
| ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(639,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) )
| ~ ( incident_c @ SV4 @ ( sK21_SY193 @ SV4 @ SV31 ) ) )
| ~ ( incident_c @ SV4 @ ( sK23_SY264 @ SV31 @ SV4 ) ) ) )
= $true )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(640,plain,
! [SV31: $i,SV4: $i] :
( ( ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ ( sK23_SY264 @ SV31 @ SV4 ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(641,plain,
! [SV4: $i,SV31: $i] :
( ( ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ ( sK21_SY193 @ SV4 @ SV31 ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(642,plain,
! [SV61: $i,SV52: $i,SV6: $i,SV33: $i] :
( ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( ~ ( part_of @ SV52 @ SV6 ) )
= $true )
| ( ( ~ ( part_of @ SV61 @ SV6 ) )
= $true )
| ( ( ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(643,plain,
! [SV8: $i,SV53: $i,SV34: $i,SV71: $i] :
( ( ( incident_c @ SV71 @ SV34 )
= $true )
| ( ( incident_c @ SV71 @ SV53 )
= $true )
| ( ( incident_c @ SV71 @ SV8 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(644,plain,
! [SV53: $i,SV8: $i,SV34: $i,SV71: $i] :
( ( ( incident_c @ SV71 @ SV34 )
= $false )
| ( ( incident_c @ SV71 @ SV8 )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[610]) ).
thf(645,plain,
! [SV34: $i,SV8: $i,SV53: $i,SV71: $i] :
( ( ( incident_c @ SV71 @ SV53 )
= $false )
| ( ( incident_c @ SV71 @ SV8 )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[610]) ).
thf(646,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) )
= $false )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(647,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) )
= $false )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(648,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 ) )
= $false )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(649,plain,
! [SV10: $i,SV62: $i,SV54: $i,SV36: $i] :
( ( ( ( SV36 = SV54 )
| ( SV36 = SV62 ) )
= $true )
| ( ( SV54 = SV62 )
= $true )
| ( ( end_point @ SV54 @ SV10 )
= $false )
| ( ( end_point @ SV36 @ SV10 )
= $false )
| ( ( end_point @ SV62 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(650,plain,
! [SV40: $i,SV15: $i] :
( ( ( ~ ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 ) )
= $false )
| ( ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(651,plain,
! [SV40: $i,SV15: $i] :
( ( ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
= $false )
| ( ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(652,plain,
! [SV40: $i,SV15: $i] :
( ( ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
= $true )
| ( ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
= $false )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(653,plain,
! [SV17: $i,SV56: $i,SV41: $i,SV78: $i] :
( ( ( ~ ( incident_c @ SV78 @ SV41 )
| ~ ( incident_c @ SV78 @ SV56 ) )
= $true )
| ( ( ~ ( ~ ( end_point @ SV78 @ SV41 )
| ~ ( end_point @ SV78 @ SV56 ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(654,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( ~ ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(655,plain,
! [SV20: $i,SV63: $i,SV57: $i,SV43: $i,SV79: $i] :
( ( ( ~ ( end_point @ SV79 @ SV43 )
| ( meet @ SV79 @ SV43 @ SV57 ) )
= $true )
| ( ( meet @ SV63 @ SV43 @ SV57 )
= $false )
| ( ( closed @ SV20 )
= $false )
| ( ( SV20
= ( sum @ SV43 @ SV57 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(656,plain,
! [SV44: $i,SV58: $i,SV64: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 ) )
= $false )
| ( ( ordered_by @ SV21 @ SV44 @ SV58 )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(657,plain,
! [SV64: $i,SV44: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) )
= $false )
| ( ( ordered_by @ SV21 @ SV44 @ SV58 )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(658,plain,
! [SV44: $i,SV58: $i,SV64: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV64 @ SV58 ) )
= $false )
| ( ( ordered_by @ SV21 @ SV58 @ SV64 )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(659,plain,
! [SV64: $i,SV44: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( ordered_by @ SV21 @ SV58 @ SV44 ) )
= $false )
| ( ( ordered_by @ SV21 @ SV58 @ SV64 )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[624]) ).
thf(660,plain,
! [SV48: $i,SV76: $i,SV26: $i] :
( ( ( ~ ( ( SV26 != SV76 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV76 @ SV48 ) )
= $true )
| ( ( ordered_by @ SV48 @ SV26 @ SV76 )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(661,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ( ( SV26
!= ( sK22_SY225 @ SV48 @ SV26 ) ) )
| ~ ( incident_o @ ( sK22_SY225 @ SV48 @ SV26 ) @ SV48 ) )
= $false )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(662,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 )
| ~ ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
| ~ ( end_point @ SV65 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
| ~ ( inner_point @ SV59 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(663,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i] :
( ( ( ! [SY258: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SY258 @ SV27 )
| ~ ( end_point @ SV49 @ SY258 ) )
| ~ ( end_point @ SV65 @ SY258 ) )
| ~ ( inner_point @ SV59 @ SY258 ) ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[631]) ).
thf(664,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i,SV80: $i] :
( ( ( ~ ( ~ ( ~ ( incident_o @ SV80 @ SV60 )
| ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) ) )
| ~ ( ~ ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
| ( incident_o @ SV80 @ SV60 ) ) ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(665,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( ~ ( ~ ( ~ ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
| ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 ) )
| ~ ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
| ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 ) ) ) )
= $false )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[634]) ).
thf(666,plain,
! [SV51: $i,SV29: $i,SV2: $i] :
( ( ( SV2 = SV29 )
= $true )
| ( ( open @ SV51 )
= $false )
| ( ( ~ ( incident_c @ SV2 @ SV51 ) )
= $true )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(667,plain,
! [SV30: $i,SV74: $i,SV3: $i] :
( ( ( SV3 != SV74 )
= $false )
| ( ( ~ ( incident_o @ SV74 @ SV30 ) )
= $true )
| ( ( ordered_by @ SV30 @ SV74 @ SV3 )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(668,plain,
! [SV30: $i,SV3: $i] :
( ( ( ~ ( ( SV3
!= ( sK20_SY190 @ SV30 @ SV3 ) ) ) )
= $false )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[637]) ).
thf(669,plain,
! [SV3: $i,SV30: $i] :
( ( ( ~ ( incident_o @ ( sK20_SY190 @ SV30 @ SV3 ) @ SV30 ) )
= $false )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[637]) ).
thf(670,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SV77 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SV75 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(671,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) )
| ~ ( incident_c @ SV4 @ ( sK21_SY193 @ SV4 @ SV31 ) ) )
| ~ ( incident_c @ SV4 @ ( sK23_SY264 @ SV31 @ SV4 ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(672,plain,
! [SV61: $i,SV33: $i,SV6: $i,SV52: $i] :
( ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( ~ ( part_of @ SV61 @ SV6 ) )
= $true )
| ( ( ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(673,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) ) )
= $false )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(674,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
= $false )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(675,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) ) )
= $false )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[647]) ).
thf(676,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
= $false )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[647]) ).
thf(677,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) ) )
= $false )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(678,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
= $false )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[648]) ).
thf(679,plain,
! [SV10: $i,SV62: $i,SV54: $i,SV36: $i] :
( ( ( SV36 = SV54 )
= $true )
| ( ( SV36 = SV62 )
= $true )
| ( ( SV54 = SV62 )
= $true )
| ( ( end_point @ SV54 @ SV10 )
= $false )
| ( ( end_point @ SV36 @ SV10 )
= $false )
| ( ( end_point @ SV62 @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[649]) ).
thf(680,plain,
! [SV40: $i,SV15: $i] :
( ( ( incident_c @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV15 )
= $true )
| ( ( incident_o @ ( sK13_SY209 @ SV15 @ SV40 ) @ SV40 )
= $true )
| ( ( SV15
= ( underlying_curve @ SV40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(681,plain,
! [SV17: $i,SV56: $i,SV41: $i,SV78: $i] :
( ( ( ~ ( incident_c @ SV78 @ SV41 ) )
= $true )
| ( ( ~ ( incident_c @ SV78 @ SV56 ) )
= $true )
| ( ( ~ ( ~ ( end_point @ SV78 @ SV41 )
| ~ ( end_point @ SV78 @ SV56 ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(682,plain,
! [SV17: $i,SV56: $i,SV41: $i] :
( ( ( ! [SY244: $i] :
( ~ ~ ( ~ ( incident_c @ SY244 @ SV41 )
| ~ ( incident_c @ SY244 @ SV56 ) )
| ~ ( ~ ( end_point @ SY244 @ SV41 )
| ~ ( end_point @ SY244 @ SV56 ) ) ) )
= $false )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(683,plain,
! [SV20: $i,SV63: $i,SV57: $i,SV43: $i,SV79: $i] :
( ( ( ~ ( end_point @ SV79 @ SV43 ) )
= $true )
| ( ( meet @ SV79 @ SV43 @ SV57 )
= $true )
| ( ( meet @ SV63 @ SV43 @ SV57 )
= $false )
| ( ( closed @ SV20 )
= $false )
| ( ( SV20
= ( sum @ SV43 @ SV57 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(684,plain,
! [SV44: $i,SV58: $i,SV64: $i,SV21: $i] :
( ( ( ordered_by @ SV21 @ SV64 @ SV58 )
= $true )
| ( ( ordered_by @ SV21 @ SV44 @ SV58 )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[656]) ).
thf(685,plain,
! [SV64: $i,SV44: $i,SV58: $i,SV21: $i] :
( ( ( ordered_by @ SV21 @ SV58 @ SV44 )
= $true )
| ( ( ordered_by @ SV21 @ SV44 @ SV58 )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(686,plain,
! [SV44: $i,SV58: $i,SV64: $i,SV21: $i] :
( ( ( ordered_by @ SV21 @ SV64 @ SV58 )
= $true )
| ( ( ordered_by @ SV21 @ SV58 @ SV64 )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(687,plain,
! [SV64: $i,SV44: $i,SV58: $i,SV21: $i] :
( ( ( ordered_by @ SV21 @ SV58 @ SV44 )
= $true )
| ( ( ordered_by @ SV21 @ SV58 @ SV64 )
= $true )
| ( ( between_o @ SV21 @ SV44 @ SV58 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(688,plain,
! [SV48: $i,SV76: $i,SV26: $i] :
( ( ( SV26 != SV76 )
= $false )
| ( ( ~ ( incident_o @ SV76 @ SV48 ) )
= $true )
| ( ( ordered_by @ SV48 @ SV26 @ SV76 )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(689,plain,
! [SV48: $i,SV26: $i] :
( ( ( ~ ( ( SV26
!= ( sK22_SY225 @ SV48 @ SV26 ) ) ) )
= $false )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(690,plain,
! [SV26: $i,SV48: $i] :
( ( ( ~ ( incident_o @ ( sK22_SY225 @ SV48 @ SV26 ) @ SV48 ) )
= $false )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(691,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 )
| ~ ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
| ~ ( end_point @ SV65 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
| ~ ( inner_point @ SV59 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(692,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV81 @ SV27 )
| ~ ( end_point @ SV49 @ SV81 ) )
| ~ ( end_point @ SV65 @ SV81 ) )
| ~ ( inner_point @ SV59 @ SV81 ) ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(693,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i,SV80: $i] :
( ( ( ~ ( ~ ( incident_o @ SV80 @ SV60 )
| ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) ) )
| ~ ( ~ ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
| ( incident_o @ SV80 @ SV60 ) ) )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(694,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( ~ ( ~ ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
| ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 ) )
| ~ ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
| ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 ) ) )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(695,plain,
! [SV29: $i,SV51: $i,SV2: $i] :
( ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( ~ ( incident_c @ SV29 @ SV51 ) )
= $true )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(696,plain,
! [SV30: $i,SV74: $i,SV3: $i] :
( ( ( SV3 = SV74 )
= $true )
| ( ( ~ ( incident_o @ SV74 @ SV30 ) )
= $true )
| ( ( ordered_by @ SV30 @ SV74 @ SV3 )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(697,plain,
! [SV30: $i,SV3: $i] :
( ( ( SV3
!= ( sK20_SY190 @ SV30 @ SV3 ) )
= $true )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(698,plain,
! [SV3: $i,SV30: $i] :
( ( ( incident_o @ ( sK20_SY190 @ SV30 @ SV3 ) @ SV30 )
= $true )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(699,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ( ~ ~ ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SV77 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SV75 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(700,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) )
| ~ ( incident_c @ SV4 @ ( sK21_SY193 @ SV4 @ SV31 ) ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(701,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( incident_c @ SV4 @ ( sK23_SY264 @ SV31 @ SV4 ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(702,plain,
! [SV52: $i,SV33: $i,SV6: $i,SV61: $i] :
( ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( ~ ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(703,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
= $true )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[673]) ).
thf(704,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
= $true )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(705,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
| ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 ) )
= $true )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(706,plain,
! [SV17: $i,SV56: $i,SV41: $i,SV78: $i] :
( ( ( incident_c @ SV78 @ SV41 )
= $false )
| ( ( ~ ( incident_c @ SV78 @ SV56 ) )
= $true )
| ( ( ~ ( ~ ( end_point @ SV78 @ SV41 )
| ~ ( end_point @ SV78 @ SV56 ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(707,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 )
| ~ ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 ) )
| ~ ( ~ ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 )
| ~ ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 ) ) )
= $false )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[682]) ).
thf(708,plain,
! [SV20: $i,SV63: $i,SV57: $i,SV43: $i,SV79: $i] :
( ( ( end_point @ SV79 @ SV43 )
= $false )
| ( ( meet @ SV79 @ SV43 @ SV57 )
= $true )
| ( ( meet @ SV63 @ SV43 @ SV57 )
= $false )
| ( ( closed @ SV20 )
= $false )
| ( ( SV20
= ( sum @ SV43 @ SV57 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(709,plain,
! [SV48: $i,SV76: $i,SV26: $i] :
( ( ( SV26 = SV76 )
= $true )
| ( ( ~ ( incident_o @ SV76 @ SV48 ) )
= $true )
| ( ( ordered_by @ SV48 @ SV26 @ SV76 )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(710,plain,
! [SV48: $i,SV26: $i] :
( ( ( SV26
!= ( sK22_SY225 @ SV48 @ SV26 ) )
= $true )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(711,plain,
! [SV26: $i,SV48: $i] :
( ( ( incident_o @ ( sK22_SY225 @ SV48 @ SV26 ) @ SV48 )
= $true )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(712,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 )
| ~ ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
| ~ ( end_point @ SV65 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(713,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ( inner_point @ SV59 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(714,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV81 @ SV27 )
| ~ ( end_point @ SV49 @ SV81 ) )
| ~ ( end_point @ SV65 @ SV81 ) )
| ~ ( inner_point @ SV59 @ SV81 ) ) )
= $false )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(715,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i,SV80: $i] :
( ( ( ~ ( ~ ( incident_o @ SV80 @ SV60 )
| ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) ) ) )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(716,plain,
! [SV60: $i,SV1: $i,SV28: $i,SV50: $i,SV80: $i] :
( ( ( ~ ( ~ ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
| ( incident_o @ SV80 @ SV60 ) ) )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(717,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( ~ ( ~ ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
| ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 ) ) )
= $true )
| ( ( ~ ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
| ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 ) ) )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(718,plain,
! [SV2: $i,SV51: $i,SV29: $i] :
( ( ( incident_c @ SV29 @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( open @ SV51 )
= $false )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( ~ ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(719,plain,
! [SV3: $i,SV30: $i,SV74: $i] :
( ( ( incident_o @ SV74 @ SV30 )
= $false )
| ( ( SV3 = SV74 )
= $true )
| ( ( ordered_by @ SV30 @ SV74 @ SV3 )
= $true )
| ( ( finish_point @ SV3 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(720,plain,
! [SV30: $i,SV3: $i] :
( ( ( SV3
= ( sK20_SY190 @ SV30 @ SV3 ) )
= $false )
| ( ( incident_o @ SV3 @ SV30 )
= $false )
| ( ( finish_point @ SV3 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(721,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SV77 @ SV31 ) )
| ~ ( incident_c @ SV4 @ SV75 ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[699]) ).
thf(722,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) )
| ~ ( incident_c @ SV4 @ ( sK21_SY193 @ SV4 @ SV31 ) ) ) )
= $true )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(723,plain,
! [SV31: $i,SV4: $i] :
( ( ( incident_c @ SV4 @ ( sK23_SY264 @ SV31 @ SV4 ) )
= $true )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(724,plain,
! [SV6: $i,SV61: $i,SV52: $i,SV33: $i] :
( ( ( ~ ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $false )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(725,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
= $true )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 )
= $true )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV8 )
= $true )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(726,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
= $true )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 )
= $true )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(727,plain,
! [SV8: $i,SV34: $i,SV53: $i] :
( ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV34 )
= $true )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 )
= $true )
| ( ( incident_c @ ( sK15_SY240 @ SV53 @ SV34 @ SV8 ) @ SV53 )
= $false )
| ( ( SV8
= ( sum @ SV34 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(728,plain,
! [SV17: $i,SV41: $i,SV56: $i,SV78: $i] :
( ( ( incident_c @ SV78 @ SV56 )
= $false )
| ( ( incident_c @ SV78 @ SV41 )
= $false )
| ( ( ~ ( ~ ( end_point @ SV78 @ SV41 )
| ~ ( end_point @ SV78 @ SV56 ) ) )
= $true )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(729,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 )
| ~ ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 ) ) )
= $false )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(730,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( ~ ( ~ ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 )
| ~ ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 ) ) )
= $false )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(731,plain,
! [SV26: $i,SV48: $i,SV76: $i] :
( ( ( incident_o @ SV76 @ SV48 )
= $false )
| ( ( SV26 = SV76 )
= $true )
| ( ( ordered_by @ SV48 @ SV26 @ SV76 )
= $true )
| ( ( start_point @ SV26 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(732,plain,
! [SV48: $i,SV26: $i] :
( ( ( SV26
= ( sK22_SY225 @ SV48 @ SV26 ) )
= $false )
| ( ( incident_o @ SV26 @ SV48 )
= $false )
| ( ( start_point @ SV26 @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(733,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 )
| ~ ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
| ~ ( end_point @ SV65 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(734,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( inner_point @ SV59 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(735,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV81 @ SV27 )
| ~ ( end_point @ SV49 @ SV81 ) )
| ~ ( end_point @ SV65 @ SV81 ) )
| ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(736,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i,SV80: $i] :
( ( ( ~ ( incident_o @ SV80 @ SV60 )
| ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(737,plain,
! [SV60: $i,SV1: $i,SV28: $i,SV50: $i,SV80: $i] :
( ( ( ~ ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
| ( incident_o @ SV80 @ SV60 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(738,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( ~ ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
| ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 ) )
= $false )
| ( ( ~ ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
| ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 ) ) )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(739,plain,
! [SV29: $i,SV2: $i,SV51: $i] :
( ( ( ! [SY235: $i] :
~ ~ ( ~ ! [SY236: $i] :
~ ( ~ ( ~ ( incident_o @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY236 @ SV51 )
| ( incident_o @ SY236 @ SY235 ) ) )
| ~ ( ordered_by @ SY235 @ SV2 @ SV29 ) ) )
= $false )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(740,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SV77 @ SV31 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV75 ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(741,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) )
| ~ ( incident_c @ SV4 @ ( sK21_SY193 @ SV4 @ SV31 ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(742,plain,
! [SV6: $i,SV61: $i,SV52: $i,SV33: $i] :
( ( ( ! [SY255: $i] :
~ ~ ( ~ ~ ( ~ ( end_point @ SY255 @ SV33 )
| ~ ( end_point @ SY255 @ SV52 ) )
| ~ ( end_point @ SY255 @ SV61 ) ) )
= $true )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[724]) ).
thf(743,plain,
! [SV17: $i,SV56: $i,SV41: $i,SV78: $i] :
( ( ( ~ ( end_point @ SV78 @ SV41 )
| ~ ( end_point @ SV78 @ SV56 ) )
= $false )
| ( ( incident_c @ SV78 @ SV41 )
= $false )
| ( ( incident_c @ SV78 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(744,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 )
| ~ ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 ) ) )
= $true )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(745,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( ~ ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 )
| ~ ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 ) )
= $true )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(746,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 )
| ~ ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
| ~ ( end_point @ SV65 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(747,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ SV81 @ SV27 )
| ~ ( end_point @ SV49 @ SV81 ) )
| ~ ( end_point @ SV65 @ SV81 ) ) )
= $true )
| ( ( ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(748,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i,SV80: $i] :
( ( ( ~ ( incident_o @ SV80 @ SV60 ) )
= $true )
| ( ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(749,plain,
! [SV60: $i,SV1: $i,SV28: $i,SV50: $i,SV80: $i] :
( ( ( ~ ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) ) )
= $true )
| ( ( incident_o @ SV80 @ SV60 )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(750,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( ~ ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 ) )
= $false )
| ( ( ~ ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
| ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 ) ) )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(751,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $false )
| ( ( ~ ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
| ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 ) ) )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(752,plain,
! [SV51: $i,SV2: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ! [SY265: $i] :
~ ( ~ ( ~ ( incident_o @ SY265 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
| ( incident_c @ SY265 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY265 @ SV51 )
| ( incident_o @ SY265 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) ) ) )
| ~ ( ordered_by @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) @ SV2 @ SV29 ) ) )
= $false )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[739]) ).
thf(753,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SV77 @ SV31 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV4 @ SV75 ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(754,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(755,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( incident_c @ SV4 @ ( sK21_SY193 @ SV4 @ SV31 ) ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(756,plain,
! [SV6: $i,SV61: $i,SV52: $i,SV33: $i,SV82: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV82 @ SV33 )
| ~ ( end_point @ SV82 @ SV52 ) )
| ~ ( end_point @ SV82 @ SV61 ) ) )
= $true )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(757,plain,
! [SV17: $i,SV56: $i,SV41: $i,SV78: $i] :
( ( ( ~ ( end_point @ SV78 @ SV41 ) )
= $false )
| ( ( incident_c @ SV78 @ SV41 )
= $false )
| ( ( incident_c @ SV78 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(758,plain,
! [SV17: $i,SV41: $i,SV56: $i,SV78: $i] :
( ( ( ~ ( end_point @ SV78 @ SV56 ) )
= $false )
| ( ( incident_c @ SV78 @ SV41 )
= $false )
| ( ( incident_c @ SV78 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(759,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( ~ ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 )
| ~ ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 ) )
= $false )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(760,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( ~ ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 ) )
= $true )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(761,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 )
| ~ ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(762,plain,
! [SV27: $i,SV49: $i,SV59: $i,SV65: $i] :
( ( ( ~ ( end_point @ SV65 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(763,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( ~ ( ~ ~ ( ~ ( part_of @ SV81 @ SV27 )
| ~ ( end_point @ SV49 @ SV81 ) )
| ~ ( end_point @ SV65 @ SV81 ) ) )
= $false )
| ( ( ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(764,plain,
! [SV1: $i,SV28: $i,SV50: $i,SV60: $i,SV80: $i] :
( ( ( incident_o @ SV80 @ SV60 )
= $false )
| ( ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(765,plain,
! [SV60: $i,SV1: $i,SV28: $i,SV50: $i,SV80: $i] :
( ( ( incident_c @ SV80 @ ( sK19_SY251 @ SV50 @ SV28 @ SV1 @ SV60 ) )
= $false )
| ( ( incident_o @ SV80 @ SV60 )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(766,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $true )
| ( ( ~ ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
| ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 ) ) )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(767,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
| ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 ) )
= $false )
| ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $false )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(768,plain,
! [SV51: $i,SV2: $i,SV29: $i] :
( ( ( ~ ( ~ ! [SY265: $i] :
~ ( ~ ( ~ ( incident_o @ SY265 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
| ( incident_c @ SY265 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY265 @ SV51 )
| ( incident_o @ SY265 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) ) ) )
| ~ ( ordered_by @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) @ SV2 @ SV29 ) ) )
= $true )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(769,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ( part_of @ SV75 @ SV31 )
| ~ ( part_of @ SV77 @ SV31 ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV75 ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(770,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) ) )
= $true )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(771,plain,
! [SV31: $i,SV4: $i] :
( ( ( incident_c @ SV4 @ ( sK21_SY193 @ SV4 @ SV31 ) )
= $true )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[755]) ).
thf(772,plain,
! [SV6: $i,SV61: $i,SV52: $i,SV33: $i,SV82: $i] :
( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV82 @ SV33 )
| ~ ( end_point @ SV82 @ SV52 ) )
| ~ ( end_point @ SV82 @ SV61 ) ) )
= $false )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[756]) ).
thf(773,plain,
! [SV17: $i,SV56: $i,SV41: $i,SV78: $i] :
( ( ( end_point @ SV78 @ SV41 )
= $true )
| ( ( incident_c @ SV78 @ SV41 )
= $false )
| ( ( incident_c @ SV78 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(774,plain,
! [SV17: $i,SV41: $i,SV56: $i,SV78: $i] :
( ( ( end_point @ SV78 @ SV56 )
= $true )
| ( ( incident_c @ SV78 @ SV41 )
= $false )
| ( ( incident_c @ SV78 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(775,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( ~ ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 ) )
= $false )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(776,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( ~ ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 ) )
= $false )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(777,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 )
= $false )
| ( ( ~ ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 ) )
= $true )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(778,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ( ~ ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 )
| ~ ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(779,plain,
! [SV27: $i,SV49: $i,SV59: $i,SV65: $i] :
( ( ( end_point @ SV65 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(780,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( ~ ~ ( ~ ( part_of @ SV81 @ SV27 )
| ~ ( end_point @ SV49 @ SV81 ) )
| ~ ( end_point @ SV65 @ SV81 ) )
= $true )
| ( ( ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[763]) ).
thf(781,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
| ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 ) )
= $false )
| ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(782,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 ) )
= $false )
| ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $false )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(783,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $false )
| ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $false )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(784,plain,
! [SV51: $i,SV2: $i,SV29: $i] :
( ( ( ~ ! [SY265: $i] :
~ ( ~ ( ~ ( incident_o @ SY265 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
| ( incident_c @ SY265 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY265 @ SV51 )
| ( incident_o @ SY265 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) ) ) )
| ~ ( ordered_by @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) @ SV2 @ SV29 ) )
= $false )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(785,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( ~ ( part_of @ SV75 @ SV31 ) )
= $true )
| ( ( ~ ( part_of @ SV77 @ SV31 ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV75 ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(786,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
| ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(787,plain,
! [SV6: $i,SV61: $i,SV52: $i,SV33: $i,SV82: $i] :
( ( ( ~ ~ ( ~ ( end_point @ SV82 @ SV33 )
| ~ ( end_point @ SV82 @ SV52 ) )
| ~ ( end_point @ SV82 @ SV61 ) )
= $true )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(788,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 )
= $true )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(789,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( incident_c @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 )
= $true )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(790,plain,
! [SV41: $i,SV56: $i,SV17: $i] :
( ( ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV56 )
= $false )
| ( ( end_point @ ( sK26_SY244 @ SV17 @ SV56 @ SV41 ) @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV41 )
= $false )
| ( ( incident_c @ SV17 @ SV56 )
= $false )
| ( ( meet @ SV17 @ SV41 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(791,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 )
| ~ ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(792,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( ~ ~ ( ~ ( part_of @ SV81 @ SV27 )
| ~ ( end_point @ SV49 @ SV81 ) ) )
= $true )
| ( ( ~ ( end_point @ SV65 @ SV81 ) )
= $true )
| ( ( ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(793,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( ~ ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 ) )
= $false )
| ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(794,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $false )
| ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(795,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $true )
| ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $false )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(796,plain,
! [SV60: $i,SV50: $i,SV28: $i,SV1: $i,SV73: $i] :
( ( ( between_c @ SV73 @ SV1 @ SV28 @ SV50 )
= $false )
| ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $false )
| ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(797,plain,
! [SV51: $i,SV2: $i,SV29: $i] :
( ( ( ~ ! [SY265: $i] :
~ ( ~ ( ~ ( incident_o @ SY265 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
| ( incident_c @ SY265 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY265 @ SV51 )
| ( incident_o @ SY265 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) ) ) ) )
= $false )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(798,plain,
! [SV51: $i,SV2: $i,SV29: $i] :
( ( ( ~ ( ordered_by @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) @ SV2 @ SV29 ) )
= $false )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(799,plain,
! [SV4: $i,SV77: $i,SV31: $i,SV75: $i] :
( ( ( part_of @ SV75 @ SV31 )
= $false )
| ( ( ~ ( part_of @ SV77 @ SV31 ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV75 ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(800,plain,
! [SV31: $i,SV4: $i] :
( ( ( ~ ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(801,plain,
! [SV4: $i,SV31: $i] :
( ( ( ~ ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 ) )
= $false )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(802,plain,
! [SV6: $i,SV61: $i,SV52: $i,SV33: $i,SV82: $i] :
( ( ( ~ ~ ( ~ ( end_point @ SV82 @ SV33 )
| ~ ( end_point @ SV82 @ SV52 ) ) )
= $true )
| ( ( ~ ( end_point @ SV82 @ SV61 ) )
= $true )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(803,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( ~ ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(804,plain,
! [SV27: $i,SV65: $i,SV59: $i,SV49: $i] :
( ( ( ~ ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) ) )
= $false )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[791]) ).
thf(805,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( ~ ( ~ ( part_of @ SV81 @ SV27 )
| ~ ( end_point @ SV49 @ SV81 ) ) )
= $false )
| ( ( ~ ( end_point @ SV65 @ SV81 ) )
= $true )
| ( ( ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(806,plain,
! [SV60: $i,SV73: $i,SV1: $i,SV28: $i,SV50: $i] :
( ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $true )
| ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV1 @ SV28 @ SV50 ) )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(807,plain,
! [SV60: $i,SV50: $i,SV28: $i,SV1: $i,SV73: $i] :
( ( ( between_c @ SV73 @ SV1 @ SV28 @ SV50 )
= $false )
| ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $true )
| ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $false )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(808,plain,
! [SV60: $i,SV50: $i,SV28: $i,SV1: $i,SV73: $i] :
( ( ( between_c @ SV73 @ SV1 @ SV28 @ SV50 )
= $false )
| ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $false )
| ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(809,plain,
! [SV51: $i,SV2: $i,SV29: $i] :
( ( ( ! [SY265: $i] :
~ ( ~ ( ~ ( incident_o @ SY265 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
| ( incident_c @ SY265 @ SV51 ) )
| ~ ( ~ ( incident_c @ SY265 @ SV51 )
| ( incident_o @ SY265 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) ) ) ) )
= $true )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(810,plain,
! [SV51: $i,SV2: $i,SV29: $i] :
( ( ( ordered_by @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) @ SV2 @ SV29 )
= $true )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(811,plain,
! [SV4: $i,SV75: $i,SV31: $i,SV77: $i] :
( ( ( part_of @ SV77 @ SV31 )
= $false )
| ( ( part_of @ SV75 @ SV31 )
= $false )
| ( ( ~ ( incident_c @ SV4 @ SV75 ) )
= $true )
| ( ( ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(812,plain,
! [SV31: $i,SV4: $i] :
( ( ( part_of @ ( sK21_SY193 @ SV4 @ SV31 ) @ SV31 )
= $true )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(813,plain,
! [SV4: $i,SV31: $i] :
( ( ( part_of @ ( sK23_SY264 @ SV31 @ SV4 ) @ SV31 )
= $true )
| ( ( incident_c @ SV4 @ SV31 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[801]) ).
thf(814,plain,
! [SV6: $i,SV61: $i,SV52: $i,SV33: $i,SV82: $i] :
( ( ( ~ ( ~ ( end_point @ SV82 @ SV33 )
| ~ ( end_point @ SV82 @ SV52 ) ) )
= $false )
| ( ( ~ ( end_point @ SV82 @ SV61 ) )
= $true )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(815,plain,
! [SV27: $i,SV49: $i,SV65: $i,SV59: $i] :
( ( ( part_of @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) @ SV27 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(816,plain,
! [SV27: $i,SV65: $i,SV59: $i,SV49: $i] :
( ( ( end_point @ SV49 @ ( sK24_SY257 @ SV59 @ SV65 @ SV49 @ SV27 ) )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(817,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( ~ ( part_of @ SV81 @ SV27 )
| ~ ( end_point @ SV49 @ SV81 ) )
= $true )
| ( ( ~ ( end_point @ SV65 @ SV81 ) )
= $true )
| ( ( ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(818,plain,
! [SV60: $i,SV50: $i,SV28: $i,SV1: $i,SV73: $i] :
( ( ( between_c @ SV73 @ SV1 @ SV28 @ SV50 )
= $false )
| ( ( incident_o @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV60 )
= $true )
| ( ( incident_c @ ( sK25_SY262 @ SV50 @ SV28 @ SV1 @ SV73 @ SV60 ) @ SV73 )
= $true )
| ( ( between_o @ SV60 @ SV1 @ SV28 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(819,plain,
! [SV51: $i,SV2: $i,SV29: $i,SV83: $i] :
( ( ( ~ ( ~ ( ~ ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
| ( incident_c @ SV83 @ SV51 ) )
| ~ ( ~ ( incident_c @ SV83 @ SV51 )
| ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) ) ) ) )
= $true )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(820,plain,
! [SV77: $i,SV31: $i,SV75: $i,SV4: $i] :
( ( ( incident_c @ SV4 @ SV75 )
= $false )
| ( ( part_of @ SV75 @ SV31 )
= $false )
| ( ( part_of @ SV77 @ SV31 )
= $false )
| ( ( ~ ( incident_c @ SV4 @ SV77 ) )
= $true )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(821,plain,
! [SV6: $i,SV61: $i,SV52: $i,SV33: $i,SV82: $i] :
( ( ( ~ ( end_point @ SV82 @ SV33 )
| ~ ( end_point @ SV82 @ SV52 ) )
= $true )
| ( ( ~ ( end_point @ SV82 @ SV61 ) )
= $true )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(822,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( ~ ( part_of @ SV81 @ SV27 ) )
= $true )
| ( ( ~ ( end_point @ SV49 @ SV81 ) )
= $true )
| ( ( ~ ( end_point @ SV65 @ SV81 ) )
= $true )
| ( ( ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(823,plain,
! [SV51: $i,SV2: $i,SV29: $i,SV83: $i] :
( ( ( ~ ( ~ ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
| ( incident_c @ SV83 @ SV51 ) )
| ~ ( ~ ( incident_c @ SV83 @ SV51 )
| ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) ) ) )
= $false )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(824,plain,
! [SV75: $i,SV31: $i,SV77: $i,SV4: $i] :
( ( ( incident_c @ SV4 @ SV77 )
= $false )
| ( ( part_of @ SV77 @ SV31 )
= $false )
| ( ( part_of @ SV75 @ SV31 )
= $false )
| ( ( incident_c @ SV4 @ SV75 )
= $false )
| ( ( ( part_of @ SV75 @ SV77 )
| ( part_of @ SV77 @ SV75 ) )
= $true )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(825,plain,
! [SV6: $i,SV61: $i,SV52: $i,SV33: $i,SV82: $i] :
( ( ( ~ ( end_point @ SV82 @ SV33 ) )
= $true )
| ( ( ~ ( end_point @ SV82 @ SV52 ) )
= $true )
| ( ( ~ ( end_point @ SV82 @ SV61 ) )
= $true )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(826,plain,
! [SV59: $i,SV65: $i,SV49: $i,SV27: $i,SV81: $i] :
( ( ( part_of @ SV81 @ SV27 )
= $false )
| ( ( ~ ( end_point @ SV49 @ SV81 ) )
= $true )
| ( ( ~ ( end_point @ SV65 @ SV81 ) )
= $true )
| ( ( ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(827,plain,
! [SV51: $i,SV2: $i,SV29: $i,SV83: $i] :
( ( ( ~ ( ~ ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
| ( incident_c @ SV83 @ SV51 ) ) )
= $false )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(828,plain,
! [SV2: $i,SV29: $i,SV51: $i,SV83: $i] :
( ( ( ~ ( ~ ( incident_c @ SV83 @ SV51 )
| ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) ) ) )
= $false )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(829,plain,
! [SV31: $i,SV4: $i,SV77: $i,SV75: $i] :
( ( ( part_of @ SV75 @ SV77 )
= $true )
| ( ( part_of @ SV77 @ SV75 )
= $true )
| ( ( incident_c @ SV4 @ SV75 )
= $false )
| ( ( part_of @ SV75 @ SV31 )
= $false )
| ( ( part_of @ SV77 @ SV31 )
= $false )
| ( ( incident_c @ SV4 @ SV77 )
= $false )
| ( ( end_point @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(830,plain,
! [SV6: $i,SV61: $i,SV52: $i,SV33: $i,SV82: $i] :
( ( ( end_point @ SV82 @ SV33 )
= $false )
| ( ( ~ ( end_point @ SV82 @ SV52 ) )
= $true )
| ( ( ~ ( end_point @ SV82 @ SV61 ) )
= $true )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(831,plain,
! [SV59: $i,SV65: $i,SV27: $i,SV81: $i,SV49: $i] :
( ( ( end_point @ SV49 @ SV81 )
= $false )
| ( ( part_of @ SV81 @ SV27 )
= $false )
| ( ( ~ ( end_point @ SV65 @ SV81 ) )
= $true )
| ( ( ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(832,plain,
! [SV51: $i,SV2: $i,SV29: $i,SV83: $i] :
( ( ( ~ ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
| ( incident_c @ SV83 @ SV51 ) )
= $true )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(833,plain,
! [SV2: $i,SV29: $i,SV51: $i,SV83: $i] :
( ( ( ~ ( incident_c @ SV83 @ SV51 )
| ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) ) )
= $true )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(834,plain,
! [SV6: $i,SV61: $i,SV33: $i,SV52: $i,SV82: $i] :
( ( ( end_point @ SV82 @ SV52 )
= $false )
| ( ( end_point @ SV82 @ SV33 )
= $false )
| ( ( ~ ( end_point @ SV82 @ SV61 ) )
= $true )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(835,plain,
! [SV59: $i,SV49: $i,SV27: $i,SV81: $i,SV65: $i] :
( ( ( end_point @ SV65 @ SV81 )
= $false )
| ( ( part_of @ SV81 @ SV27 )
= $false )
| ( ( end_point @ SV49 @ SV81 )
= $false )
| ( ( ~ ( inner_point @ SV59 @ SV81 ) )
= $true )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(836,plain,
! [SV51: $i,SV2: $i,SV29: $i,SV83: $i] :
( ( ( ~ ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) ) )
= $true )
| ( ( incident_c @ SV83 @ SV51 )
= $true )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[832]) ).
thf(837,plain,
! [SV2: $i,SV29: $i,SV51: $i,SV83: $i] :
( ( ( ~ ( incident_c @ SV83 @ SV51 ) )
= $true )
| ( ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
= $true )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(838,plain,
! [SV6: $i,SV52: $i,SV33: $i,SV61: $i,SV82: $i] :
( ( ( end_point @ SV82 @ SV61 )
= $false )
| ( ( end_point @ SV82 @ SV33 )
= $false )
| ( ( end_point @ SV82 @ SV52 )
= $false )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 )
| ( part_of @ SV61 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(839,plain,
! [SV65: $i,SV27: $i,SV49: $i,SV81: $i,SV59: $i] :
( ( ( inner_point @ SV59 @ SV81 )
= $false )
| ( ( end_point @ SV49 @ SV81 )
= $false )
| ( ( part_of @ SV81 @ SV27 )
= $false )
| ( ( end_point @ SV65 @ SV81 )
= $false )
| ( ( SV49 = SV65 )
= $true )
| ( ( between_c @ SV27 @ SV49 @ SV59 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(840,plain,
! [SV51: $i,SV2: $i,SV29: $i,SV83: $i] :
( ( ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
= $false )
| ( ( incident_c @ SV83 @ SV51 )
= $true )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(841,plain,
! [SV2: $i,SV29: $i,SV51: $i,SV83: $i] :
( ( ( incident_c @ SV83 @ SV51 )
= $false )
| ( ( incident_o @ SV83 @ ( sK27_SY235 @ SV29 @ SV2 @ SV51 ) )
= $true )
| ( ( incident_c @ SV2 @ SV51 )
= $false )
| ( ( open @ SV51 )
= $false )
| ( ( SV2 = SV29 )
= $true )
| ( ( incident_c @ SV29 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(842,plain,
! [SV82: $i,SV6: $i,SV33: $i,SV61: $i,SV52: $i] :
( ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 )
| ( part_of @ SV33 @ SV61 ) )
= $true )
| ( ( part_of @ SV61 @ SV33 )
= $true )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( end_point @ SV82 @ SV52 )
= $false )
| ( ( end_point @ SV82 @ SV33 )
= $false )
| ( ( end_point @ SV82 @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(843,plain,
! [SV82: $i,SV6: $i,SV33: $i,SV61: $i,SV52: $i] :
( ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 )
| ( part_of @ SV52 @ SV33 ) )
= $true )
| ( ( part_of @ SV33 @ SV61 )
= $true )
| ( ( part_of @ SV61 @ SV33 )
= $true )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( end_point @ SV82 @ SV52 )
= $false )
| ( ( end_point @ SV82 @ SV33 )
= $false )
| ( ( end_point @ SV82 @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[842]) ).
thf(844,plain,
! [SV82: $i,SV6: $i,SV33: $i,SV61: $i,SV52: $i] :
( ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 )
| ( part_of @ SV33 @ SV52 ) )
= $true )
| ( ( part_of @ SV52 @ SV33 )
= $true )
| ( ( part_of @ SV33 @ SV61 )
= $true )
| ( ( part_of @ SV61 @ SV33 )
= $true )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( end_point @ SV82 @ SV52 )
= $false )
| ( ( end_point @ SV82 @ SV33 )
= $false )
| ( ( end_point @ SV82 @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(845,plain,
! [SV82: $i,SV6: $i,SV33: $i,SV61: $i,SV52: $i] :
( ( ( ( part_of @ SV52 @ SV61 )
| ( part_of @ SV61 @ SV52 ) )
= $true )
| ( ( part_of @ SV33 @ SV52 )
= $true )
| ( ( part_of @ SV52 @ SV33 )
= $true )
| ( ( part_of @ SV33 @ SV61 )
= $true )
| ( ( part_of @ SV61 @ SV33 )
= $true )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( end_point @ SV82 @ SV52 )
= $false )
| ( ( end_point @ SV82 @ SV33 )
= $false )
| ( ( end_point @ SV82 @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(846,plain,
! [SV82: $i,SV6: $i,SV33: $i,SV61: $i,SV52: $i] :
( ( ( part_of @ SV52 @ SV61 )
= $true )
| ( ( part_of @ SV61 @ SV52 )
= $true )
| ( ( part_of @ SV33 @ SV52 )
= $true )
| ( ( part_of @ SV52 @ SV33 )
= $true )
| ( ( part_of @ SV33 @ SV61 )
= $true )
| ( ( part_of @ SV61 @ SV33 )
= $true )
| ( ( part_of @ SV61 @ SV6 )
= $false )
| ( ( part_of @ SV33 @ SV6 )
= $false )
| ( ( part_of @ SV52 @ SV6 )
= $false )
| ( ( end_point @ SV82 @ SV52 )
= $false )
| ( ( end_point @ SV82 @ SV33 )
= $false )
| ( ( end_point @ SV82 @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(847,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[91,846,841,840,839,829,818,816,815,813,812,810,808,807,796,790,789,788,779,774,773,771,765,764,734,732,731,727,726,725,723,720,719,711,708,698,687,686,685,684,680,679,678,676,674,652,651,645,644,643,641,640,633,627,626,625,619,618,617,596,595,592,591,589,579,578,575,574,573,572,563,552,549,548,532,510,503,493,475,470,469,468,462,451,445,444,441,438,420,419,406,402,368,367,333,218,212,92]) ).
thf(848,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[847]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO118+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n017.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Tue Oct 6 09:59:45 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.95/1.02
% 3.95/1.02 No.of.Axioms: 27
% 3.95/1.02
% 3.95/1.02 Length.of.Defs: 0
% 3.95/1.02
% 3.95/1.02 Contains.Choice.Funs: false
% 3.95/1.02 ..............................
% 3.95/1.02
% 3.95/1.02 ********************************
% 3.95/1.02 * All subproblems solved! *
% 3.95/1.02 ********************************
% 3.95/1.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:28,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:847,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.95/1.02
% 3.95/1.02 %**** Beginning of derivation protocol ****
% 3.95/1.02 % SZS output start CNFRefutation
% See solution above
% 3.95/1.03
% 3.95/1.03 %**** End of derivation protocol ****
% 3.95/1.03 %**** no. of clauses in derivation: 848 ****
% 3.95/1.03 %**** clause counter: 847 ****
% 3.95/1.03
% 3.95/1.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:28,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:847,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------