TSTP Solution File: GEO127+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GEO127+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:07:25 EDT 2022
% Result : Theorem 0.91s 1.11s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 71
% Syntax : Number of formulae : 1613 ( 679 unt; 43 typ; 0 def)
% Number of atoms : 14178 (4009 equ; 0 cnn)
% Maximal formula atoms : 12 ( 9 avg)
% Number of connectives : 33822 (6094 ~;5693 |; 256 &;21696 @)
% ( 45 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 86 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 43 usr; 6 con; 0-5 aty)
% Number of variables : 5716 ( 0 ^5679 !; 37 ?;5716 :)
% 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_C,type,
sK10_C: $i > $i > $i > $i > $i ).
thf(tp_sK11_P,type,
sK11_P: $i > $i > $i > $i > $i > $i ).
thf(tp_sK12_C,type,
sK12_C: $i > $i ).
thf(tp_sK13_Q,type,
sK13_Q: $i > $i > $i ).
thf(tp_sK14_Q,type,
sK14_Q: $i > $i > $i ).
thf(tp_sK15_Cpp,type,
sK15_Cpp: $i > $i > $i > $i > $i ).
thf(tp_sK16_P,type,
sK16_P: $i > $i > $i ).
thf(tp_sK17_C,type,
sK17_C: $i > $i > $i ).
thf(tp_sK18_Q,type,
sK18_Q: $i > $i > $i ).
thf(tp_sK19_C1,type,
sK19_C1: $i > $i > $i ).
thf(tp_sK1_O,type,
sK1_O: $i ).
thf(tp_sK20_SY107,type,
sK20_SY107: $i > $i > $i ).
thf(tp_sK21_P,type,
sK21_P: $i > $i ).
thf(tp_sK22_P,type,
sK22_P: $i > $i ).
thf(tp_sK23_P,type,
sK23_P: $i > $i ).
thf(tp_sK24_Q,type,
sK24_Q: $i > $i > $i > $i ).
thf(tp_sK25_C1,type,
sK25_C1: $i > $i > $i ).
thf(tp_sK26_SY108,type,
sK26_SY108: $i > $i > $i ).
thf(tp_sK27_Q,type,
sK27_Q: $i > $i > $i > $i ).
thf(tp_sK28_P,type,
sK28_P: $i > $i > $i ).
thf(tp_sK2_SY97,type,
sK2_SY97: $i ).
thf(tp_sK3_SY99,type,
sK3_SY99: $i ).
thf(tp_sK4_SY99,type,
sK4_SY99: $i ).
thf(tp_sK5_P,type,
sK5_P: $i > $i > $i ).
thf(tp_sK6_P,type,
sK6_P: $i > $i > $i ).
thf(tp_sK7_SY100,type,
sK7_SY100: $i > $i > $i ).
thf(tp_sK8_O,type,
sK8_O: $i > $i > $i > $i ).
thf(tp_sK9_P,type,
sK9_P: $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] :
( ( incident_o @ P @ O )
<=> ? [Q: $i] :
( ( ordered_by @ O @ P @ Q )
| ( ordered_by @ O @ Q @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12) ).
thf(29,negated_conjecture,
( ( ! [O: $i,P: $i] :
( ( incident_o @ P @ O )
<=> ? [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] :
( ( incident_o @ P @ O )
<=> ? [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] :
( ( incident_o @ SY97 @ sK1_O )
<=> ? [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,
( ( ( incident_o @ sK2_SY97 @ sK1_O )
<=> ? [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,
( ( ( incident_o @ sK2_SY97 @ sK1_O )
=> ? [SY99: $i] :
( ( ordered_by @ sK1_O @ sK2_SY97 @ SY99 )
| ( ordered_by @ sK1_O @ SY99 @ sK2_SY97 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[59]) ).
thf(61,plain,
( ( ? [SY99: $i] :
( ( ordered_by @ sK1_O @ sK2_SY97 @ SY99 )
| ( ordered_by @ sK1_O @ SY99 @ sK2_SY97 ) )
=> ( incident_o @ sK2_SY97 @ sK1_O ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[59]) ).
thf(62,plain,
( ( ~ ( ( incident_o @ sK2_SY97 @ sK1_O )
=> ? [SY99: $i] :
( ( ordered_by @ sK1_O @ sK2_SY97 @ SY99 )
| ( ordered_by @ sK1_O @ SY99 @ sK2_SY97 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[60]) ).
thf(63,plain,
( ( ~ ( ? [SY99: $i] :
( ( ordered_by @ sK1_O @ sK2_SY97 @ SY99 )
| ( ordered_by @ sK1_O @ SY99 @ sK2_SY97 ) )
=> ( incident_o @ sK2_SY97 @ sK1_O ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[61]) ).
thf(64,plain,
( ( ( incident_o @ sK2_SY97 @ sK1_O )
& ! [SY99: $i] :
~ ( ordered_by @ sK1_O @ sK2_SY97 @ SY99 )
& ! [SY99: $i] :
~ ( ordered_by @ sK1_O @ SY99 @ sK2_SY97 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(65,plain,
( ( ( ( ordered_by @ sK1_O @ sK2_SY97 @ sK4_SY99 )
| ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 ) )
& ~ ( incident_o @ sK2_SY97 @ sK1_O ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(66,plain,
( ( ! [C: $i,O: $i] :
( ( ( ~ ( incident_c @ ( sK5_P @ O @ C ) @ C )
| ~ ( incident_o @ ( sK5_P @ O @ C ) @ O ) )
& ( ( incident_c @ ( sK5_P @ O @ C ) @ C )
| ( incident_o @ ( sK5_P @ O @ C ) @ O ) ) )
| ( C
= ( underlying_curve @ O ) ) )
& ! [C: $i,O: $i] :
( ( C
!= ( underlying_curve @ O ) )
| ( ! [P: $i] :
( ~ ( incident_c @ P @ C )
| ( incident_o @ P @ O ) )
& ! [P: $i] :
( ~ ( incident_o @ P @ O )
| ( incident_c @ P @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(67,plain,
( ( ! [O1: $i,O2: $i] :
( ( ( ~ ( ordered_by @ O1 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) )
| ~ ( ordered_by @ O2 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) ) )
& ( ( ordered_by @ O1 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) )
| ( ordered_by @ O2 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) ) ) )
| ( O1 = O2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(68,plain,
( ( ! [P: $i,Q: $i,C: $i] :
( ( P = Q )
| ~ ( open @ C )
| ~ ( incident_c @ P @ C )
| ~ ( incident_c @ Q @ C )
| ( ! [SY101: $i] :
( ~ ( incident_c @ SY101 @ C )
| ( incident_o @ SY101 @ ( sK8_O @ C @ Q @ P ) ) )
& ! [SY102: $i] :
( ~ ( incident_o @ SY102 @ ( sK8_O @ C @ Q @ P ) )
| ( incident_c @ SY102 @ C ) )
& ( ordered_by @ ( sK8_O @ C @ Q @ P ) @ P @ Q ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(69,plain,
( ( ! [O: $i] : ( start_point @ ( sK9_P @ O ) @ O ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(70,plain,
( ( ! [P: $i,Q: $i] :
( ! [R: $i,O: $i] :
( ! [C: $i] :
( ( ( ~ ( incident_c @ ( sK11_P @ C @ O @ R @ Q @ P ) @ C )
| ~ ( incident_o @ ( sK11_P @ C @ O @ R @ Q @ P ) @ O ) )
& ( ( incident_c @ ( sK11_P @ C @ O @ R @ Q @ P ) @ C )
| ( incident_o @ ( sK11_P @ C @ O @ R @ Q @ P ) @ O ) ) )
| ~ ( between_c @ C @ P @ Q @ R ) )
| ( between_o @ O @ P @ Q @ R ) )
& ! [R: $i,O: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ! [SY103: $i] :
( ~ ( incident_c @ SY103 @ ( sK10_C @ O @ R @ Q @ P ) )
| ( incident_o @ SY103 @ O ) )
& ! [SY104: $i] :
( ~ ( incident_o @ SY104 @ O )
| ( incident_c @ SY104 @ ( sK10_C @ O @ R @ Q @ P ) ) )
& ( between_c @ ( sK10_C @ O @ R @ Q @ P ) @ P @ Q @ R ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(71,plain,
( ( ! [O: $i] :
( ! [SY105: $i] :
( ~ ( incident_c @ SY105 @ ( sK12_C @ O ) )
| ( incident_o @ SY105 @ O ) )
& ! [SY106: $i] :
( ~ ( incident_o @ SY106 @ O )
| ( incident_c @ SY106 @ ( sK12_C @ O ) ) )
& ( open @ ( sK12_C @ O ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(72,plain,
( ( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
~ ( ordered_by @ O @ P @ Q )
| ( incident_o @ P @ O ) )
& ! [P: $i,Q: $i] :
( ~ ( ordered_by @ O @ P @ Q )
| ( incident_o @ Q @ O ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(73,plain,
( ( ! [P: $i,O: $i] :
( ( ( P
!= ( sK13_Q @ O @ P ) )
& ( incident_o @ ( sK13_Q @ O @ P ) @ O )
& ~ ( ordered_by @ O @ ( sK13_Q @ O @ P ) @ P ) )
| ~ ( incident_o @ P @ O )
| ( finish_point @ P @ O ) )
& ! [P: $i,O: $i] :
( ~ ( finish_point @ P @ O )
| ! [Q: $i] :
( ( P = Q )
| ~ ( incident_o @ Q @ O )
| ( ordered_by @ O @ Q @ P ) ) )
& ! [P: $i,O: $i] :
( ~ ( finish_point @ P @ O )
| ( incident_o @ P @ O ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(74,plain,
( ( ! [P: $i,O: $i] :
( ( ( P
!= ( sK14_Q @ O @ P ) )
& ( incident_o @ ( sK14_Q @ O @ P ) @ O )
& ~ ( ordered_by @ O @ P @ ( sK14_Q @ O @ P ) ) )
| ~ ( incident_o @ P @ O )
| ( start_point @ P @ O ) )
& ! [P: $i,O: $i] :
( ~ ( start_point @ P @ O )
| ! [Q: $i] :
( ( P = Q )
| ~ ( incident_o @ Q @ O )
| ( ordered_by @ O @ P @ Q ) ) )
& ! [P: $i,O: $i] :
( ~ ( start_point @ P @ O )
| ( incident_o @ P @ O ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(75,plain,
( ( ! [O: $i,P: $i] :
( ! [Q: $i,R: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ P @ Q )
| ( ordered_by @ O @ R @ Q ) )
& ! [Q: $i] :
( ! [R: $i] :
~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ P @ Q )
| ( ordered_by @ O @ Q @ P ) )
& ! [Q: $i,R: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ Q @ R )
| ( ordered_by @ O @ R @ Q ) )
& ! [Q: $i,R: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ Q @ R )
| ( ordered_by @ O @ Q @ P ) )
& ! [Q: $i,R: $i] :
( ~ ( ordered_by @ O @ P @ Q )
| ~ ( ordered_by @ O @ Q @ R )
| ( between_o @ O @ P @ Q @ R ) )
& ! [Q: $i,R: $i] :
( ~ ( ordered_by @ O @ R @ Q )
| ~ ( ordered_by @ O @ Q @ P )
| ( between_o @ O @ P @ Q @ R ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(76,plain,
( ( ! [C: $i,P: $i] :
( ! [Q: $i,R: $i] :
( ( P = R )
| ! [Cpp: $i] :
( ~ ( end_point @ P @ Cpp )
| ~ ( part_of @ Cpp @ C )
| ~ ( end_point @ R @ Cpp )
| ~ ( inner_point @ Q @ Cpp ) )
| ( between_c @ C @ P @ Q @ R ) )
& ! [Q: $i,R: $i] :
( ~ ( between_c @ C @ P @ Q @ R )
| ( P != R ) )
& ! [Q: $i,R: $i] :
( ~ ( between_c @ C @ P @ Q @ R )
| ( ( end_point @ P @ ( sK15_Cpp @ R @ Q @ P @ C ) )
& ( part_of @ ( sK15_Cpp @ R @ Q @ P @ C ) @ C )
& ( end_point @ R @ ( sK15_Cpp @ R @ Q @ P @ C ) )
& ( inner_point @ Q @ ( sK15_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(77,plain,
( ( ! [C: $i,C1: $i] :
( ( ( ~ ( incident_c @ ( sK16_P @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK16_P @ C1 @ C ) @ C1 ) )
& ( ( incident_c @ ( sK16_P @ C1 @ C ) @ C )
| ( incident_c @ ( sK16_P @ C1 @ C ) @ C1 ) ) )
| ( C = C1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(78,plain,
( ( ! [C1: $i,C2: $i] :
( ! [P: $i] :
~ ( meet @ P @ C1 @ C2 )
| ( ( sK17_C @ C2 @ C1 )
= ( sum @ C1 @ C2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(79,plain,
( ( ! [C: $i,C1: $i,C2: $i] :
( ~ ( closed @ C )
| ! [P: $i] :
~ ( meet @ P @ C1 @ C2 )
| ( C
!= ( sum @ C1 @ C2 ) )
| ! [Q: $i] :
( ~ ( end_point @ Q @ C1 )
| ( meet @ Q @ C1 @ C2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(80,plain,
( ( ! [C: $i,P: $i] :
( ~ ( end_point @ P @ C )
| ( ( P
!= ( sK18_Q @ P @ C ) )
& ( end_point @ ( sK18_Q @ P @ C ) @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(81,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ~ ( end_point @ P @ C )
| ~ ( end_point @ Q @ C )
| ~ ( end_point @ R @ C )
| ( Q = R )
| ( P = Q )
| ( P = R ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(82,plain,
( ( ! [C: $i,P: $i] :
( ~ ( inner_point @ P @ C )
| ( ( C
= ( sum @ ( sK19_C1 @ P @ C ) @ ( sK20_SY107 @ P @ C ) ) )
& ( meet @ P @ ( sK19_C1 @ P @ C ) @ ( sK20_SY107 @ P @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(83,plain,
( ( ! [C: $i] : ( inner_point @ ( sK21_P @ C ) @ C ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(84,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 @ C3 @ C1 )
| ( part_of @ C1 @ C3 )
| ( part_of @ C2 @ C1 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C3 )
| ( part_of @ C3 @ C2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(85,plain,
( ( ! [C: $i,C1: $i] :
( ( C1 = C )
| ~ ( part_of @ C1 @ C )
| ( open @ C1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(86,plain,
( ( ! [C: $i] :
( ! [P: $i] :
~ ( end_point @ P @ C )
| ( open @ C ) )
& ! [C: $i] :
( ~ ( open @ C )
| ( end_point @ ( sK22_P @ C ) @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(87,plain,
( ( ! [C: $i] :
( ~ ( closed @ C )
| ! [P: $i] :
~ ( end_point @ P @ C ) )
& ! [C: $i] :
( ( end_point @ ( sK23_P @ C ) @ C )
| ( closed @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(88,plain,
( ( ! [P: $i] :
( ! [C: $i,C1: $i] :
( ( ( incident_c @ ( sK24_Q @ C1 @ C @ P ) @ C )
& ( incident_c @ ( sK24_Q @ C1 @ C @ P ) @ C1 )
& ( ~ ( end_point @ ( sK24_Q @ C1 @ C @ P ) @ C )
| ~ ( end_point @ ( sK24_Q @ C1 @ C @ P ) @ C1 ) ) )
| ~ ( incident_c @ P @ C )
| ~ ( incident_c @ P @ C1 )
| ( meet @ P @ C @ C1 ) )
& ! [C: $i,C1: $i] :
( ~ ( meet @ P @ C @ C1 )
| ( ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ~ ( incident_c @ Q @ C1 )
| ( end_point @ Q @ C ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ~ ( incident_c @ Q @ C1 )
| ( end_point @ Q @ C1 ) ) ) )
& ! [C: $i] :
( ! [C1: $i] :
~ ( meet @ P @ C @ C1 )
| ( incident_c @ P @ C ) )
& ! [C: $i,C1: $i] :
( ~ ( meet @ P @ C @ C1 )
| ( incident_c @ P @ C1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(89,plain,
( ( ! [P: $i,C: $i] :
( ~ ( incident_c @ P @ C )
| ( end_point @ P @ C )
| ( inner_point @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( inner_point @ P @ C )
| ( incident_c @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( inner_point @ P @ C )
| ~ ( end_point @ P @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(90,plain,
( ( ! [P: $i,C: $i] :
( ( ( part_of @ ( sK25_C1 @ C @ P ) @ C )
& ( part_of @ ( sK26_SY108 @ C @ P ) @ C )
& ( incident_c @ P @ ( sK25_C1 @ C @ P ) )
& ( incident_c @ P @ ( sK26_SY108 @ C @ P ) )
& ~ ( part_of @ ( sK25_C1 @ C @ P ) @ ( sK26_SY108 @ C @ P ) )
& ~ ( part_of @ ( sK26_SY108 @ C @ P ) @ ( sK25_C1 @ C @ P ) ) )
| ~ ( incident_c @ P @ C )
| ( end_point @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( end_point @ 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 ) ) )
& ! [P: $i,C: $i] :
( ~ ( end_point @ P @ C )
| ( incident_c @ P @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(91,plain,
( ( ! [C: $i] :
( ! [C1: $i,C2: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C1 ) )
& ( ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C2 ) )
& ( ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C )
| ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C1 )
| ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C2 ) ) )
| ( C
= ( sum @ C1 @ C2 ) ) )
& ! [C1: $i,C2: $i] :
( ( C
!= ( sum @ C1 @ C2 ) )
| ( ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C2 )
| ( incident_c @ Q @ C ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(92,plain,
( ( ! [C: $i,C1: $i] :
( ( ( incident_c @ ( sK28_P @ C1 @ C ) @ C1 )
& ~ ( incident_c @ ( sK28_P @ C1 @ C ) @ C ) )
| ( part_of @ C1 @ C ) )
& ! [C: $i,C1: $i] :
( ~ ( part_of @ C1 @ C )
| ! [P: $i] :
( ~ ( incident_c @ P @ C1 )
| ( incident_c @ P @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(93,plain,
( ( ! [C: $i,C1: $i] :
( ( ( incident_c @ ( sK28_P @ C1 @ C ) @ C1 )
& ~ ( incident_c @ ( sK28_P @ C1 @ C ) @ C ) )
| ( part_of @ C1 @ C ) )
& ! [C: $i,C1: $i] :
( ~ ( part_of @ C1 @ C )
| ! [P: $i] :
( ~ ( incident_c @ P @ C1 )
| ( incident_c @ P @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(94,plain,
( ( ! [C: $i] :
( ! [C1: $i,C2: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C1 ) )
& ( ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C2 ) )
& ( ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C )
| ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C1 )
| ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C2 ) ) )
| ( C
= ( sum @ C1 @ C2 ) ) )
& ! [C1: $i,C2: $i] :
( ( C
!= ( sum @ C1 @ C2 ) )
| ( ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C2 )
| ( incident_c @ Q @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(95,plain,
( ( ! [P: $i,C: $i] :
( ( ( part_of @ ( sK25_C1 @ C @ P ) @ C )
& ( part_of @ ( sK26_SY108 @ C @ P ) @ C )
& ( incident_c @ P @ ( sK25_C1 @ C @ P ) )
& ( incident_c @ P @ ( sK26_SY108 @ C @ P ) )
& ~ ( part_of @ ( sK25_C1 @ C @ P ) @ ( sK26_SY108 @ C @ P ) )
& ~ ( part_of @ ( sK26_SY108 @ C @ P ) @ ( sK25_C1 @ C @ P ) ) )
| ~ ( incident_c @ P @ C )
| ( end_point @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( end_point @ 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 ) ) )
& ! [P: $i,C: $i] :
( ~ ( end_point @ P @ C )
| ( incident_c @ P @ C ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(96,plain,
( ( ! [P: $i,C: $i] :
( ~ ( incident_c @ P @ C )
| ( end_point @ P @ C )
| ( inner_point @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( inner_point @ P @ C )
| ( incident_c @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( inner_point @ P @ C )
| ~ ( end_point @ P @ C ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(97,plain,
( ( ! [P: $i] :
( ! [C: $i,C1: $i] :
( ( ( incident_c @ ( sK24_Q @ C1 @ C @ P ) @ C )
& ( incident_c @ ( sK24_Q @ C1 @ C @ P ) @ C1 )
& ( ~ ( end_point @ ( sK24_Q @ C1 @ C @ P ) @ C )
| ~ ( end_point @ ( sK24_Q @ C1 @ C @ P ) @ C1 ) ) )
| ~ ( incident_c @ P @ C )
| ~ ( incident_c @ P @ C1 )
| ( meet @ P @ C @ C1 ) )
& ! [C: $i,C1: $i] :
( ~ ( meet @ P @ C @ C1 )
| ( ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ~ ( incident_c @ Q @ C1 )
| ( end_point @ Q @ C ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ~ ( incident_c @ Q @ C1 )
| ( end_point @ Q @ C1 ) ) ) )
& ! [C: $i] :
( ! [C1: $i] :
~ ( meet @ P @ C @ C1 )
| ( incident_c @ P @ C ) )
& ! [C: $i,C1: $i] :
( ~ ( meet @ P @ C @ C1 )
| ( incident_c @ P @ C1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(98,plain,
( ( ! [C: $i] :
( ~ ( closed @ C )
| ! [P: $i] :
~ ( end_point @ P @ C ) )
& ! [C: $i] :
( ( end_point @ ( sK23_P @ C ) @ C )
| ( closed @ C ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(99,plain,
( ( ! [C: $i] :
( ! [P: $i] :
~ ( end_point @ P @ C )
| ( open @ C ) )
& ! [C: $i] :
( ~ ( open @ C )
| ( end_point @ ( sK22_P @ C ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(100,plain,
( ( ! [C: $i,C1: $i] :
( ( C1 = C )
| ~ ( part_of @ C1 @ C )
| ( open @ C1 ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(101,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 @ C3 @ C1 )
| ( part_of @ C1 @ C3 )
| ( part_of @ C2 @ C1 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C3 )
| ( part_of @ C3 @ C2 ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(102,plain,
( ( ! [C: $i] : ( inner_point @ ( sK21_P @ C ) @ C ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(103,plain,
( ( ! [C: $i,P: $i] :
( ~ ( inner_point @ P @ C )
| ( ( C
= ( sum @ ( sK19_C1 @ P @ C ) @ ( sK20_SY107 @ P @ C ) ) )
& ( meet @ P @ ( sK19_C1 @ P @ C ) @ ( sK20_SY107 @ P @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(104,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ~ ( end_point @ P @ C )
| ~ ( end_point @ Q @ C )
| ~ ( end_point @ R @ C )
| ( Q = R )
| ( P = Q )
| ( P = R ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(105,plain,
( ( ! [C: $i,P: $i] :
( ~ ( end_point @ P @ C )
| ( ( P
!= ( sK18_Q @ P @ C ) )
& ( end_point @ ( sK18_Q @ P @ C ) @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(106,plain,
( ( ! [C: $i,C1: $i,C2: $i] :
( ~ ( closed @ C )
| ! [P: $i] :
~ ( meet @ P @ C1 @ C2 )
| ( C
!= ( sum @ C1 @ C2 ) )
| ! [Q: $i] :
( ~ ( end_point @ Q @ C1 )
| ( meet @ Q @ C1 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(107,plain,
( ( ! [C1: $i,C2: $i] :
( ! [P: $i] :
~ ( meet @ P @ C1 @ C2 )
| ( ( sK17_C @ C2 @ C1 )
= ( sum @ C1 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(108,plain,
( ( ! [C: $i,C1: $i] :
( ( ( ~ ( incident_c @ ( sK16_P @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK16_P @ C1 @ C ) @ C1 ) )
& ( ( incident_c @ ( sK16_P @ C1 @ C ) @ C )
| ( incident_c @ ( sK16_P @ C1 @ C ) @ C1 ) ) )
| ( C = C1 ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(109,plain,
( ( ! [C: $i,P: $i] :
( ! [Q: $i,R: $i] :
( ( P = R )
| ! [Cpp: $i] :
( ~ ( end_point @ P @ Cpp )
| ~ ( part_of @ Cpp @ C )
| ~ ( end_point @ R @ Cpp )
| ~ ( inner_point @ Q @ Cpp ) )
| ( between_c @ C @ P @ Q @ R ) )
& ! [Q: $i,R: $i] :
( ~ ( between_c @ C @ P @ Q @ R )
| ( P != R ) )
& ! [Q: $i,R: $i] :
( ~ ( between_c @ C @ P @ Q @ R )
| ( ( end_point @ P @ ( sK15_Cpp @ R @ Q @ P @ C ) )
& ( part_of @ ( sK15_Cpp @ R @ Q @ P @ C ) @ C )
& ( end_point @ R @ ( sK15_Cpp @ R @ Q @ P @ C ) )
& ( inner_point @ Q @ ( sK15_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(110,plain,
( ( ! [O: $i,P: $i] :
( ! [Q: $i,R: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ P @ Q )
| ( ordered_by @ O @ R @ Q ) )
& ! [Q: $i] :
( ! [R: $i] :
~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ P @ Q )
| ( ordered_by @ O @ Q @ P ) )
& ! [Q: $i,R: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ Q @ R )
| ( ordered_by @ O @ R @ Q ) )
& ! [Q: $i,R: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ Q @ R )
| ( ordered_by @ O @ Q @ P ) )
& ! [Q: $i,R: $i] :
( ~ ( ordered_by @ O @ P @ Q )
| ~ ( ordered_by @ O @ Q @ R )
| ( between_o @ O @ P @ Q @ R ) )
& ! [Q: $i,R: $i] :
( ~ ( ordered_by @ O @ R @ Q )
| ~ ( ordered_by @ O @ Q @ P )
| ( between_o @ O @ P @ Q @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(111,plain,
( ( ! [P: $i,O: $i] :
( ( ( P
!= ( sK14_Q @ O @ P ) )
& ( incident_o @ ( sK14_Q @ O @ P ) @ O )
& ~ ( ordered_by @ O @ P @ ( sK14_Q @ O @ P ) ) )
| ~ ( incident_o @ P @ O )
| ( start_point @ P @ O ) )
& ! [P: $i,O: $i] :
( ~ ( start_point @ P @ O )
| ! [Q: $i] :
( ( P = Q )
| ~ ( incident_o @ Q @ O )
| ( ordered_by @ O @ P @ Q ) ) )
& ! [P: $i,O: $i] :
( ~ ( start_point @ P @ O )
| ( incident_o @ P @ O ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(112,plain,
( ( ! [P: $i,O: $i] :
( ( ( P
!= ( sK13_Q @ O @ P ) )
& ( incident_o @ ( sK13_Q @ O @ P ) @ O )
& ~ ( ordered_by @ O @ ( sK13_Q @ O @ P ) @ P ) )
| ~ ( incident_o @ P @ O )
| ( finish_point @ P @ O ) )
& ! [P: $i,O: $i] :
( ~ ( finish_point @ P @ O )
| ! [Q: $i] :
( ( P = Q )
| ~ ( incident_o @ Q @ O )
| ( ordered_by @ O @ Q @ P ) ) )
& ! [P: $i,O: $i] :
( ~ ( finish_point @ P @ O )
| ( incident_o @ P @ O ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(113,plain,
( ( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
~ ( ordered_by @ O @ P @ Q )
| ( incident_o @ P @ O ) )
& ! [P: $i,Q: $i] :
( ~ ( ordered_by @ O @ P @ Q )
| ( incident_o @ Q @ O ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(114,plain,
( ( ! [O: $i] :
( ! [SY105: $i] :
( ~ ( incident_c @ SY105 @ ( sK12_C @ O ) )
| ( incident_o @ SY105 @ O ) )
& ! [SY106: $i] :
( ~ ( incident_o @ SY106 @ O )
| ( incident_c @ SY106 @ ( sK12_C @ O ) ) )
& ( open @ ( sK12_C @ O ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(115,plain,
( ( ! [P: $i,Q: $i] :
( ! [R: $i,O: $i] :
( ! [C: $i] :
( ( ( ~ ( incident_c @ ( sK11_P @ C @ O @ R @ Q @ P ) @ C )
| ~ ( incident_o @ ( sK11_P @ C @ O @ R @ Q @ P ) @ O ) )
& ( ( incident_c @ ( sK11_P @ C @ O @ R @ Q @ P ) @ C )
| ( incident_o @ ( sK11_P @ C @ O @ R @ Q @ P ) @ O ) ) )
| ~ ( between_c @ C @ P @ Q @ R ) )
| ( between_o @ O @ P @ Q @ R ) )
& ! [R: $i,O: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ! [SY103: $i] :
( ~ ( incident_c @ SY103 @ ( sK10_C @ O @ R @ Q @ P ) )
| ( incident_o @ SY103 @ O ) )
& ! [SY104: $i] :
( ~ ( incident_o @ SY104 @ O )
| ( incident_c @ SY104 @ ( sK10_C @ O @ R @ Q @ P ) ) )
& ( between_c @ ( sK10_C @ O @ R @ Q @ P ) @ P @ Q @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(116,plain,
( ( ! [O: $i] : ( start_point @ ( sK9_P @ O ) @ O ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(117,plain,
( ( ! [P: $i,Q: $i,C: $i] :
( ( P = Q )
| ~ ( open @ C )
| ~ ( incident_c @ P @ C )
| ~ ( incident_c @ Q @ C )
| ( ! [SY101: $i] :
( ~ ( incident_c @ SY101 @ C )
| ( incident_o @ SY101 @ ( sK8_O @ C @ Q @ P ) ) )
& ! [SY102: $i] :
( ~ ( incident_o @ SY102 @ ( sK8_O @ C @ Q @ P ) )
| ( incident_c @ SY102 @ C ) )
& ( ordered_by @ ( sK8_O @ C @ Q @ P ) @ P @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(118,plain,
( ( ! [O1: $i,O2: $i] :
( ( ( ~ ( ordered_by @ O1 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) )
| ~ ( ordered_by @ O2 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) ) )
& ( ( ordered_by @ O1 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) )
| ( ordered_by @ O2 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) ) ) )
| ( O1 = O2 ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(119,plain,
( ( ! [C: $i,O: $i] :
( ( ( ~ ( incident_c @ ( sK5_P @ O @ C ) @ C )
| ~ ( incident_o @ ( sK5_P @ O @ C ) @ O ) )
& ( ( incident_c @ ( sK5_P @ O @ C ) @ C )
| ( incident_o @ ( sK5_P @ O @ C ) @ O ) ) )
| ( C
= ( underlying_curve @ O ) ) )
& ! [C: $i,O: $i] :
( ( C
!= ( underlying_curve @ O ) )
| ( ! [P: $i] :
( ~ ( incident_c @ P @ C )
| ( incident_o @ P @ O ) )
& ! [P: $i] :
( ~ ( incident_o @ P @ O )
| ( incident_c @ P @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(120,plain,
( ( ( incident_o @ sK2_SY97 @ sK1_O )
& ! [SY99: $i] :
~ ( ordered_by @ sK1_O @ sK2_SY97 @ SY99 )
& ! [SY99: $i] :
~ ( ordered_by @ sK1_O @ SY99 @ sK2_SY97 ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(121,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ! [SX4: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX4 )
| ~ ( incident_o @ ( sK11_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 ) )
| ~ ( ( incident_c @ ( sK11_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX4 )
| ( incident_o @ ( sK11_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 ) ) )
| ~ ( between_c @ SX4 @ SX0 @ SX1 @ SX2 ) )
| ( between_o @ SX3 @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_o @ SX3 @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ( incident_c @ SX4 @ ( sK10_C @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( incident_o @ SX4 @ SX3 ) )
| ~ ! [SX4: $i] :
( ~ ( incident_o @ SX4 @ SX3 )
| ( incident_c @ SX4 @ ( sK10_C @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(122,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK25_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK26_SY108 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ ( sK26_SY108 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ ( sK25_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(123,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0
= ( underlying_curve @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( underlying_curve @ SX1 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(124,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(125,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( incident_c @ SX1 @ ( sK12_C @ SX0 ) )
| ( incident_o @ SX1 @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( incident_o @ SX1 @ SX0 )
| ( incident_c @ SX1 @ ( sK12_C @ SX0 ) ) ) )
| ~ ( open @ ( sK12_C @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(126,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK22_P @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(127,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( incident_c @ ( sK24_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( end_point @ ( sK24_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 )
| ( meet @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( meet @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX1 )
| ~ ( incident_c @ SX3 @ SX2 )
| ( end_point @ SX3 @ SX1 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX1 )
| ~ ( incident_c @ SX3 @ SX2 )
| ( end_point @ SX3 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( meet @ SX0 @ SX1 @ SX2 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( meet @ SX0 @ SX1 @ SX2 )
| ( incident_c @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(128,plain,
( ( ~ ( ~ ( incident_o @ sK2_SY97 @ sK1_O )
| ~ ~ ( ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ sK2_SY97 @ SX0 )
| ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ SX0 @ sK2_SY97 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(129,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK13_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ ( sK13_Q @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( finish_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(130,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ( incident_o @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ( incident_o @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(131,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX1 @ SX2 )
| ( ordered_by @ SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i] :
( ! [SX3: $i] :
~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX1 @ SX2 )
| ( ordered_by @ SX0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX3 )
| ( between_o @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( ordered_by @ SX0 @ SX3 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX1 )
| ( between_o @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(132,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0 = SX1 )
| ~ ( open @ SX2 )
| ~ ( incident_c @ SX0 @ SX2 )
| ~ ( incident_c @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX2 )
| ( incident_o @ SX3 @ ( sK8_O @ SX2 @ SX1 @ SX0 ) ) )
| ~ ! [SX3: $i] :
( ~ ( incident_o @ SX3 @ ( sK8_O @ SX2 @ SX1 @ SX0 ) )
| ( incident_c @ SX3 @ SX2 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(133,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX1 @ SX0 )
| ~ ( ~ ( ( SX1
!= ( sK18_Q @ SX1 @ SX0 ) ) )
| ~ ( end_point @ ( sK18_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(134,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ( end_point @ ( sK23_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(135,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX1 = SX3 )
| ! [SX4: $i] :
( ~ ( end_point @ SX1 @ SX4 )
| ~ ( part_of @ SX4 @ SX0 )
| ~ ( end_point @ SX3 @ SX4 )
| ~ ( inner_point @ SX2 @ SX4 ) )
| ( between_c @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
| ( SX1 != SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SX1 @ ( sK15_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( part_of @ ( sK15_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( end_point @ SX3 @ ( sK15_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( inner_point @ SX2 @ ( sK15_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(136,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ( SX0
= ( sum @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX0 )
| ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX2 ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX0 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX2 )
| ( incident_c @ SX3 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(137,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( ordered_by @ SX0 @ ( sK6_P @ SX1 @ SX0 ) @ ( sK7_SY100 @ SX1 @ SX0 ) )
| ~ ( ordered_by @ SX1 @ ( sK6_P @ SX1 @ SX0 ) @ ( sK7_SY100 @ SX1 @ SX0 ) ) )
| ~ ( ( ordered_by @ SX0 @ ( sK6_P @ SX1 @ SX0 ) @ ( sK7_SY100 @ SX1 @ SX0 ) )
| ( ordered_by @ SX1 @ ( sK6_P @ SX1 @ SX0 ) @ ( sK7_SY100 @ SX1 @ SX0 ) ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(138,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(139,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( start_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(140,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX1 @ SX0 )
| ~ ( ( SX0
!= ( sum @ ( sK19_C1 @ SX1 @ SX0 ) @ ( sK20_SY107 @ SX1 @ SX0 ) ) )
| ~ ( meet @ SX1 @ ( sK19_C1 @ SX1 @ SX0 ) @ ( sK20_SY107 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(141,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(142,plain,
! [SV1: $i] :
( ( ! [SY109: $i] :
( ( SY109 = SV1 )
| ~ ( part_of @ SY109 @ SV1 )
| ( open @ SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(143,plain,
! [SV2: $i] :
( ( ! [SY110: $i,SY111: $i,SY112: $i] :
( ~ ( part_of @ SY110 @ SV2 )
| ~ ( part_of @ SY111 @ SV2 )
| ~ ( part_of @ SY112 @ SV2 )
| ! [P: $i] :
( ~ ( end_point @ P @ SY110 )
| ~ ( end_point @ P @ SY111 )
| ~ ( end_point @ P @ SY112 ) )
| ( part_of @ SY112 @ SY110 )
| ( part_of @ SY110 @ SY112 )
| ( part_of @ SY111 @ SY110 )
| ( part_of @ SY110 @ SY111 )
| ( part_of @ SY111 @ SY112 )
| ( part_of @ SY112 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(144,plain,
! [SV3: $i] :
( ( inner_point @ ( sK21_P @ SV3 ) @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(145,plain,
! [SV4: $i] :
( ( ! [SY114: $i,SY115: $i,SY116: $i] :
( ~ ( end_point @ SY114 @ SV4 )
| ~ ( end_point @ SY115 @ SV4 )
| ~ ( end_point @ SY116 @ SV4 )
| ( SY115 = SY116 )
| ( SY114 = SY115 )
| ( SY114 = SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(146,plain,
! [SV5: $i] :
( ( ! [SY117: $i,SY118: $i] :
( ~ ( closed @ SV5 )
| ! [P: $i] :
~ ( meet @ P @ SY117 @ SY118 )
| ( SV5
!= ( sum @ SY117 @ SY118 ) )
| ! [Q: $i] :
( ~ ( end_point @ Q @ SY117 )
| ( meet @ Q @ SY117 @ SY118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(147,plain,
! [SV6: $i] :
( ( ! [SY121: $i] :
( ! [SY122: $i] :
~ ( meet @ SY122 @ SV6 @ SY121 )
| ( ( sK17_C @ SY121 @ SV6 )
= ( sum @ SV6 @ SY121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(148,plain,
! [SV7: $i] :
( ( start_point @ ( sK9_P @ SV7 ) @ SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(149,plain,
! [SV8: $i] :
( ( ! [SY123: $i] :
~ ( ~ ! [SY124: $i,SY125: $i] :
( ! [SY126: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY126 @ SY125 @ SY124 @ SY123 @ SV8 ) @ SY126 )
| ~ ( incident_o @ ( sK11_P @ SY126 @ SY125 @ SY124 @ SY123 @ SV8 ) @ SY125 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY126 @ SY125 @ SY124 @ SY123 @ SV8 ) @ SY126 )
| ( incident_o @ ( sK11_P @ SY126 @ SY125 @ SY124 @ SY123 @ SV8 ) @ SY125 ) ) )
| ~ ( between_c @ SY126 @ SV8 @ SY123 @ SY124 ) )
| ( between_o @ SY125 @ SV8 @ SY123 @ SY124 ) )
| ~ ! [SY127: $i,SY128: $i] :
( ~ ( between_o @ SY128 @ SV8 @ SY123 @ SY127 )
| ~ ( ~ ~ ( ~ ! [SY129: $i] :
( ~ ( incident_c @ SY129 @ ( sK10_C @ SY128 @ SY127 @ SY123 @ SV8 ) )
| ( incident_o @ SY129 @ SY128 ) )
| ~ ! [SY130: $i] :
( ~ ( incident_o @ SY130 @ SY128 )
| ( incident_c @ SY130 @ ( sK10_C @ SY128 @ SY127 @ SY123 @ SV8 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY128 @ SY127 @ SY123 @ SV8 ) @ SV8 @ SY123 @ SY127 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(150,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK25_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK26_SY108 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ ( sK26_SY108 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ ( sK25_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(151,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0
= ( underlying_curve @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( underlying_curve @ SX1 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(152,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(153,plain,
! [SV9: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY131: $i] :
( ~ ( incident_c @ SY131 @ ( sK12_C @ SV9 ) )
| ( incident_o @ SY131 @ SV9 ) )
| ~ ! [SY132: $i] :
( ~ ( incident_o @ SY132 @ SV9 )
| ( incident_c @ SY132 @ ( sK12_C @ SV9 ) ) ) )
| ~ ( open @ ( sK12_C @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(154,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK22_P @ SX0 ) @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(155,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY133: $i,SY134: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY133 )
| ~ ( incident_c @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY134 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY133 )
| ~ ( end_point @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY134 ) ) )
| ~ ( incident_c @ SV10 @ SY133 )
| ~ ( incident_c @ SV10 @ SY134 )
| ( meet @ SV10 @ SY133 @ SY134 ) )
| ~ ~ ( ~ ! [SY135: $i,SY136: $i] :
( ~ ( meet @ SV10 @ SY135 @ SY136 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY135 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY136 ) ) ) )
| ~ ~ ( ~ ! [SY139: $i] :
( ! [SY140: $i] :
~ ( meet @ SV10 @ SY139 @ SY140 )
| ( incident_c @ SV10 @ SY139 ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( meet @ SV10 @ SY141 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(156,plain,
( ( ~ ( incident_o @ sK2_SY97 @ sK1_O )
| ~ ~ ( ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ sK2_SY97 @ SX0 )
| ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ SX0 @ sK2_SY97 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(157,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK13_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ ( sK13_Q @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( finish_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(158,plain,
! [SV11: $i] :
( ( ~ ( ~ ! [SY143: $i] :
( ! [SY144: $i] :
~ ( ordered_by @ SV11 @ SY143 @ SY144 )
| ( incident_o @ SY143 @ SV11 ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( ordered_by @ SV11 @ SY145 @ SY146 )
| ( incident_o @ SY146 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(159,plain,
! [SV12: $i] :
( ( ! [SY147: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SY148: $i,SY149: $i] :
( ~ ( between_o @ SV12 @ SY147 @ SY148 @ SY149 )
| ( ordered_by @ SV12 @ SY147 @ SY148 )
| ( ordered_by @ SV12 @ SY149 @ SY148 ) )
| ~ ! [SY150: $i] :
( ! [SY151: $i] :
~ ( between_o @ SV12 @ SY147 @ SY150 @ SY151 )
| ( ordered_by @ SV12 @ SY147 @ SY150 )
| ( ordered_by @ SV12 @ SY150 @ SY147 ) ) )
| ~ ~ ( ~ ! [SY152: $i,SY153: $i] :
( ~ ( between_o @ SV12 @ SY147 @ SY152 @ SY153 )
| ( ordered_by @ SV12 @ SY152 @ SY153 )
| ( ordered_by @ SV12 @ SY153 @ SY152 ) )
| ~ ! [SY154: $i,SY155: $i] :
( ~ ( between_o @ SV12 @ SY147 @ SY154 @ SY155 )
| ( ordered_by @ SV12 @ SY154 @ SY155 )
| ( ordered_by @ SV12 @ SY154 @ SY147 ) ) ) )
| ~ ~ ( ~ ! [SY156: $i,SY157: $i] :
( ~ ( ordered_by @ SV12 @ SY147 @ SY156 )
| ~ ( ordered_by @ SV12 @ SY156 @ SY157 )
| ( between_o @ SV12 @ SY147 @ SY156 @ SY157 ) )
| ~ ! [SY158: $i,SY159: $i] :
( ~ ( ordered_by @ SV12 @ SY159 @ SY158 )
| ~ ( ordered_by @ SV12 @ SY158 @ SY147 )
| ( between_o @ SV12 @ SY147 @ SY158 @ SY159 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(160,plain,
! [SV13: $i] :
( ( ! [SY160: $i,SY161: $i] :
( ( SV13 = SY160 )
| ~ ( open @ SY161 )
| ~ ( incident_c @ SV13 @ SY161 )
| ~ ( incident_c @ SY160 @ SY161 )
| ~ ( ~ ~ ( ~ ! [SY162: $i] :
( ~ ( incident_c @ SY162 @ SY161 )
| ( incident_o @ SY162 @ ( sK8_O @ SY161 @ SY160 @ SV13 ) ) )
| ~ ! [SY163: $i] :
( ~ ( incident_o @ SY163 @ ( sK8_O @ SY161 @ SY160 @ SV13 ) )
| ( incident_c @ SY163 @ SY161 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SY161 @ SY160 @ SV13 ) @ SV13 @ SY160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(161,plain,
! [SV14: $i] :
( ( ! [SY164: $i] :
( ~ ( end_point @ SY164 @ SV14 )
| ~ ( ~ ( ( SY164
!= ( sK18_Q @ SY164 @ SV14 ) ) )
| ~ ( end_point @ ( sK18_Q @ SY164 @ SV14 ) @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(162,plain,
( ( ~ ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ( end_point @ ( sK23_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(163,plain,
! [SV15: $i] :
( ( ! [SY165: $i] :
~ ( ~ ! [SY166: $i,SY167: $i] :
( ( SY165 = SY167 )
| ! [SY168: $i] :
( ~ ( end_point @ SY165 @ SY168 )
| ~ ( part_of @ SY168 @ SV15 )
| ~ ( end_point @ SY167 @ SY168 )
| ~ ( inner_point @ SY166 @ SY168 ) )
| ( between_c @ SV15 @ SY165 @ SY166 @ SY167 ) )
| ~ ~ ( ~ ! [SY169: $i,SY170: $i] :
( ~ ( between_c @ SV15 @ SY165 @ SY169 @ SY170 )
| ( SY165 != SY170 ) )
| ~ ! [SY171: $i,SY172: $i] :
( ~ ( between_c @ SV15 @ SY165 @ SY171 @ SY172 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SY165 @ ( sK15_Cpp @ SY172 @ SY171 @ SY165 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY172 @ SY171 @ SY165 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SY172 @ ( sK15_Cpp @ SY172 @ SY171 @ SY165 @ SV15 ) ) )
| ~ ( inner_point @ SY171 @ ( sK15_Cpp @ SY172 @ SY171 @ SY165 @ SV15 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(164,plain,
! [SV16: $i] :
( ( ~ ( ~ ! [SY173: $i,SY174: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY173 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY174 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY173 )
| ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY174 ) ) )
| ( SV16
= ( sum @ SY173 @ SY174 ) ) )
| ~ ! [SY175: $i,SY176: $i] :
( ( SV16
!= ( sum @ SY175 @ SY176 ) )
| ~ ( ~ ! [SY177: $i] :
( ~ ( incident_c @ SY177 @ SV16 )
| ( incident_c @ SY177 @ SY175 )
| ( incident_c @ SY177 @ SY176 ) )
| ~ ~ ( ~ ! [SY178: $i] :
( ~ ( incident_c @ SY178 @ SY175 )
| ( incident_c @ SY178 @ SV16 ) )
| ~ ! [SY179: $i] :
( ~ ( incident_c @ SY179 @ SY176 )
| ( incident_c @ SY179 @ SV16 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(165,plain,
! [SV17: $i] :
( ( ! [SY180: $i] :
( ~ ( ~ ( ~ ( ordered_by @ SV17 @ ( sK6_P @ SY180 @ SV17 ) @ ( sK7_SY100 @ SY180 @ SV17 ) )
| ~ ( ordered_by @ SY180 @ ( sK6_P @ SY180 @ SV17 ) @ ( sK7_SY100 @ SY180 @ SV17 ) ) )
| ~ ( ( ordered_by @ SV17 @ ( sK6_P @ SY180 @ SV17 ) @ ( sK7_SY100 @ SY180 @ SV17 ) )
| ( ordered_by @ SY180 @ ( sK6_P @ SY180 @ SV17 ) @ ( sK7_SY100 @ SY180 @ SV17 ) ) ) )
| ( SV17 = SY180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(166,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(167,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( start_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(168,plain,
! [SV18: $i] :
( ( ! [SY181: $i] :
( ~ ( inner_point @ SY181 @ SV18 )
| ~ ( ( SV18
!= ( sum @ ( sK19_C1 @ SY181 @ SV18 ) @ ( sK20_SY107 @ SY181 @ SV18 ) ) )
| ~ ( meet @ SY181 @ ( sK19_C1 @ SY181 @ SV18 ) @ ( sK20_SY107 @ SY181 @ SV18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(169,plain,
! [SV19: $i] :
( ( ! [SY182: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK16_P @ SY182 @ SV19 ) @ SV19 )
| ~ ( incident_c @ ( sK16_P @ SY182 @ SV19 ) @ SY182 ) )
| ~ ( ( incident_c @ ( sK16_P @ SY182 @ SV19 ) @ SV19 )
| ( incident_c @ ( sK16_P @ SY182 @ SV19 ) @ SY182 ) ) )
| ( SV19 = SY182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(170,plain,
! [SV1: $i,SV20: $i] :
( ( ( SV20 = SV1 )
| ~ ( part_of @ SV20 @ SV1 )
| ( open @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(171,plain,
! [SV2: $i,SV21: $i] :
( ( ! [SY183: $i,SY184: $i] :
( ~ ( part_of @ SV21 @ SV2 )
| ~ ( part_of @ SY183 @ SV2 )
| ~ ( part_of @ SY184 @ SV2 )
| ! [SY185: $i] :
( ~ ( end_point @ SY185 @ SV21 )
| ~ ( end_point @ SY185 @ SY183 )
| ~ ( end_point @ SY185 @ SY184 ) )
| ( part_of @ SY184 @ SV21 )
| ( part_of @ SV21 @ SY184 )
| ( part_of @ SY183 @ SV21 )
| ( part_of @ SV21 @ SY183 )
| ( part_of @ SY183 @ SY184 )
| ( part_of @ SY184 @ SY183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(172,plain,
! [SV4: $i,SV22: $i] :
( ( ! [SY186: $i,SY187: $i] :
( ~ ( end_point @ SV22 @ SV4 )
| ~ ( end_point @ SY186 @ SV4 )
| ~ ( end_point @ SY187 @ SV4 )
| ( SY186 = SY187 )
| ( SV22 = SY186 )
| ( SV22 = SY187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(173,plain,
! [SV23: $i,SV5: $i] :
( ( ! [SY188: $i] :
( ~ ( closed @ SV5 )
| ! [SY189: $i] :
~ ( meet @ SY189 @ SV23 @ SY188 )
| ( SV5
!= ( sum @ SV23 @ SY188 ) )
| ! [SY190: $i] :
( ~ ( end_point @ SY190 @ SV23 )
| ( meet @ SY190 @ SV23 @ SY188 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(174,plain,
! [SV24: $i,SV6: $i] :
( ( ! [SY191: $i] :
~ ( meet @ SY191 @ SV6 @ SV24 )
| ( ( sK17_C @ SV24 @ SV6 )
= ( sum @ SV6 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(175,plain,
! [SV8: $i,SV25: $i] :
( ( ~ ( ~ ! [SY192: $i,SY193: $i] :
( ! [SY194: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY194 )
| ~ ( incident_o @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY193 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY194 )
| ( incident_o @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY193 ) ) )
| ~ ( between_c @ SY194 @ SV8 @ SV25 @ SY192 ) )
| ( between_o @ SY193 @ SV8 @ SV25 @ SY192 ) )
| ~ ! [SY195: $i,SY196: $i] :
( ~ ( between_o @ SY196 @ SV8 @ SV25 @ SY195 )
| ~ ( ~ ~ ( ~ ! [SY197: $i] :
( ~ ( incident_c @ SY197 @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) )
| ( incident_o @ SY197 @ SY196 ) )
| ~ ! [SY198: $i] :
( ~ ( incident_o @ SY198 @ SY196 )
| ( incident_c @ SY198 @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SY195 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(176,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK25_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK26_SY108 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ ( sK26_SY108 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ ( sK25_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(177,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(178,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0
= ( underlying_curve @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(179,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( underlying_curve @ SX1 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(180,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(181,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(182,plain,
! [SV9: $i] :
( ( ~ ~ ( ~ ! [SY131: $i] :
( ~ ( incident_c @ SY131 @ ( sK12_C @ SV9 ) )
| ( incident_o @ SY131 @ SV9 ) )
| ~ ! [SY132: $i] :
( ~ ( incident_o @ SY132 @ SV9 )
| ( incident_c @ SY132 @ ( sK12_C @ SV9 ) ) ) )
| ~ ( open @ ( sK12_C @ SV9 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(183,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(184,plain,
( ( ~ ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK22_P @ SX0 ) @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(185,plain,
! [SV10: $i] :
( ( ~ ! [SY133: $i,SY134: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY133 )
| ~ ( incident_c @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY134 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY133 )
| ~ ( end_point @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY134 ) ) )
| ~ ( incident_c @ SV10 @ SY133 )
| ~ ( incident_c @ SV10 @ SY134 )
| ( meet @ SV10 @ SY133 @ SY134 ) )
| ~ ~ ( ~ ! [SY135: $i,SY136: $i] :
( ~ ( meet @ SV10 @ SY135 @ SY136 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY135 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY136 ) ) ) )
| ~ ~ ( ~ ! [SY139: $i] :
( ! [SY140: $i] :
~ ( meet @ SV10 @ SY139 @ SY140 )
| ( incident_c @ SV10 @ SY139 ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( meet @ SV10 @ SY141 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(186,plain,
( ( ~ ( incident_o @ sK2_SY97 @ sK1_O ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(187,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ sK2_SY97 @ SX0 )
| ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ SX0 @ sK2_SY97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(188,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK13_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ ( sK13_Q @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( finish_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(189,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(190,plain,
! [SV11: $i] :
( ( ~ ! [SY143: $i] :
( ! [SY144: $i] :
~ ( ordered_by @ SV11 @ SY143 @ SY144 )
| ( incident_o @ SY143 @ SV11 ) )
| ~ ! [SY145: $i,SY146: $i] :
( ~ ( ordered_by @ SV11 @ SY145 @ SY146 )
| ( incident_o @ SY146 @ SV11 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(191,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY199 @ SY200 )
| ( ordered_by @ SV12 @ SV26 @ SY199 )
| ( ordered_by @ SV12 @ SY200 @ SY199 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( between_o @ SV12 @ SV26 @ SY201 @ SY202 )
| ( ordered_by @ SV12 @ SV26 @ SY201 )
| ( ordered_by @ SV12 @ SY201 @ SV26 ) ) )
| ~ ~ ( ~ ! [SY203: $i,SY204: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY204 @ SY203 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SV26 ) ) ) )
| ~ ~ ( ~ ! [SY207: $i,SY208: $i] :
( ~ ( ordered_by @ SV12 @ SV26 @ SY207 )
| ~ ( ordered_by @ SV12 @ SY207 @ SY208 )
| ( between_o @ SV12 @ SV26 @ SY207 @ SY208 ) )
| ~ ! [SY209: $i,SY210: $i] :
( ~ ( ordered_by @ SV12 @ SY210 @ SY209 )
| ~ ( ordered_by @ SV12 @ SY209 @ SV26 )
| ( between_o @ SV12 @ SV26 @ SY209 @ SY210 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(192,plain,
! [SV27: $i,SV13: $i] :
( ( ! [SY211: $i] :
( ( SV13 = SV27 )
| ~ ( open @ SY211 )
| ~ ( incident_c @ SV13 @ SY211 )
| ~ ( incident_c @ SV27 @ SY211 )
| ~ ( ~ ~ ( ~ ! [SY212: $i] :
( ~ ( incident_c @ SY212 @ SY211 )
| ( incident_o @ SY212 @ ( sK8_O @ SY211 @ SV27 @ SV13 ) ) )
| ~ ! [SY213: $i] :
( ~ ( incident_o @ SY213 @ ( sK8_O @ SY211 @ SV27 @ SV13 ) )
| ( incident_c @ SY213 @ SY211 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SY211 @ SV27 @ SV13 ) @ SV13 @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(193,plain,
! [SV14: $i,SV28: $i] :
( ( ~ ( end_point @ SV28 @ SV14 )
| ~ ( ~ ( ( SV28
!= ( sK18_Q @ SV28 @ SV14 ) ) )
| ~ ( end_point @ ( sK18_Q @ SV28 @ SV14 ) @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(194,plain,
( ( ~ ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(195,plain,
( ( ~ ! [SX0: $i] :
( ( end_point @ ( sK23_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(196,plain,
! [SV15: $i,SV29: $i] :
( ( ~ ( ~ ! [SY214: $i,SY215: $i] :
( ( SV29 = SY215 )
| ! [SY216: $i] :
( ~ ( end_point @ SV29 @ SY216 )
| ~ ( part_of @ SY216 @ SV15 )
| ~ ( end_point @ SY215 @ SY216 )
| ~ ( inner_point @ SY214 @ SY216 ) )
| ( between_c @ SV15 @ SV29 @ SY214 @ SY215 ) )
| ~ ~ ( ~ ! [SY217: $i,SY218: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY217 @ SY218 )
| ( SV29 != SY218 ) )
| ~ ! [SY219: $i,SY220: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY219 @ SY220 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SY220 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SY219 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(197,plain,
! [SV16: $i] :
( ( ~ ! [SY173: $i,SY174: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY173 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY174 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY173 )
| ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY174 ) ) )
| ( SV16
= ( sum @ SY173 @ SY174 ) ) )
| ~ ! [SY175: $i,SY176: $i] :
( ( SV16
!= ( sum @ SY175 @ SY176 ) )
| ~ ( ~ ! [SY177: $i] :
( ~ ( incident_c @ SY177 @ SV16 )
| ( incident_c @ SY177 @ SY175 )
| ( incident_c @ SY177 @ SY176 ) )
| ~ ~ ( ~ ! [SY178: $i] :
( ~ ( incident_c @ SY178 @ SY175 )
| ( incident_c @ SY178 @ SV16 ) )
| ~ ! [SY179: $i] :
( ~ ( incident_c @ SY179 @ SY176 )
| ( incident_c @ SY179 @ SV16 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(198,plain,
! [SV30: $i,SV17: $i] :
( ( ~ ( ~ ( ~ ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
| ~ ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) )
| ~ ( ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
| ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) ) )
| ( SV17 = SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(199,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(200,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(201,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( start_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(202,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(203,plain,
! [SV18: $i,SV31: $i] :
( ( ~ ( inner_point @ SV31 @ SV18 )
| ~ ( ( SV18
!= ( sum @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) )
| ~ ( meet @ SV31 @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(204,plain,
! [SV19: $i,SV32: $i] :
( ( ~ ( ~ ( ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
| ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) )
| ~ ( ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
| ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) ) )
| ( SV19 = SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(205,plain,
! [SV1: $i,SV20: $i] :
( ( ( ( SV20 = SV1 )
| ~ ( part_of @ SV20 @ SV1 ) )
= $true )
| ( ( open @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(206,plain,
! [SV33: $i,SV2: $i,SV21: $i] :
( ( ! [SY221: $i] :
( ~ ( part_of @ SV21 @ SV2 )
| ~ ( part_of @ SV33 @ SV2 )
| ~ ( part_of @ SY221 @ SV2 )
| ! [SY222: $i] :
( ~ ( end_point @ SY222 @ SV21 )
| ~ ( end_point @ SY222 @ SV33 )
| ~ ( end_point @ SY222 @ SY221 ) )
| ( part_of @ SY221 @ SV21 )
| ( part_of @ SV21 @ SY221 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SY221 )
| ( part_of @ SY221 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(207,plain,
! [SV34: $i,SV4: $i,SV22: $i] :
( ( ! [SY223: $i] :
( ~ ( end_point @ SV22 @ SV4 )
| ~ ( end_point @ SV34 @ SV4 )
| ~ ( end_point @ SY223 @ SV4 )
| ( SV34 = SY223 )
| ( SV22 = SV34 )
| ( SV22 = SY223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(208,plain,
! [SV35: $i,SV23: $i,SV5: $i] :
( ( ~ ( closed @ SV5 )
| ! [SY224: $i] :
~ ( meet @ SY224 @ SV23 @ SV35 )
| ( SV5
!= ( sum @ SV23 @ SV35 ) )
| ! [SY225: $i] :
( ~ ( end_point @ SY225 @ SV23 )
| ( meet @ SY225 @ SV23 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(209,plain,
! [SV24: $i,SV6: $i] :
( ( ( ! [SY191: $i] :
~ ( meet @ SY191 @ SV6 @ SV24 ) )
= $true )
| ( ( ( sK17_C @ SV24 @ SV6 )
= ( sum @ SV6 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(210,plain,
! [SV8: $i,SV25: $i] :
( ( ~ ! [SY192: $i,SY193: $i] :
( ! [SY194: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY194 )
| ~ ( incident_o @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY193 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY194 )
| ( incident_o @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY193 ) ) )
| ~ ( between_c @ SY194 @ SV8 @ SV25 @ SY192 ) )
| ( between_o @ SY193 @ SV8 @ SV25 @ SY192 ) )
| ~ ! [SY195: $i,SY196: $i] :
( ~ ( between_o @ SY196 @ SV8 @ SV25 @ SY195 )
| ~ ( ~ ~ ( ~ ! [SY197: $i] :
( ~ ( incident_c @ SY197 @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) )
| ( incident_o @ SY197 @ SY196 ) )
| ~ ! [SY198: $i] :
( ~ ( incident_o @ SY198 @ SY196 )
| ( incident_c @ SY198 @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SY195 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(211,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK25_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK26_SY108 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ ( sK26_SY108 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ ( sK25_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(212,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(213,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0
= ( underlying_curve @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(214,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( underlying_curve @ SX1 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(215,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(216,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(217,plain,
! [SV9: $i] :
( ( ~ ~ ( ~ ! [SY131: $i] :
( ~ ( incident_c @ SY131 @ ( sK12_C @ SV9 ) )
| ( incident_o @ SY131 @ SV9 ) )
| ~ ! [SY132: $i] :
( ~ ( incident_o @ SY132 @ SV9 )
| ( incident_c @ SY132 @ ( sK12_C @ SV9 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(218,plain,
! [SV9: $i] :
( ( ~ ( open @ ( sK12_C @ SV9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(219,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(220,plain,
( ( ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK22_P @ SX0 ) @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(221,plain,
! [SV10: $i] :
( ( ~ ! [SY133: $i,SY134: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY133 )
| ~ ( incident_c @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY134 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY133 )
| ~ ( end_point @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY134 ) ) )
| ~ ( incident_c @ SV10 @ SY133 )
| ~ ( incident_c @ SV10 @ SY134 )
| ( meet @ SV10 @ SY133 @ SY134 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(222,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ! [SY135: $i,SY136: $i] :
( ~ ( meet @ SV10 @ SY135 @ SY136 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY135 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY136 ) ) ) )
| ~ ~ ( ~ ! [SY139: $i] :
( ! [SY140: $i] :
~ ( meet @ SV10 @ SY139 @ SY140 )
| ( incident_c @ SV10 @ SY139 ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( meet @ SV10 @ SY141 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(223,plain,
( ( incident_o @ sK2_SY97 @ sK1_O )
= $true ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(224,plain,
( ( ~ ( ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ sK2_SY97 @ SX0 )
| ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ SX0 @ sK2_SY97 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(225,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK13_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ ( sK13_Q @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( finish_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(226,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(227,plain,
! [SV11: $i] :
( ( ~ ! [SY143: $i] :
( ! [SY144: $i] :
~ ( ordered_by @ SV11 @ SY143 @ SY144 )
| ( incident_o @ SY143 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(228,plain,
! [SV11: $i] :
( ( ~ ! [SY145: $i,SY146: $i] :
( ~ ( ordered_by @ SV11 @ SY145 @ SY146 )
| ( incident_o @ SY146 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(229,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY199 @ SY200 )
| ( ordered_by @ SV12 @ SV26 @ SY199 )
| ( ordered_by @ SV12 @ SY200 @ SY199 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( between_o @ SV12 @ SV26 @ SY201 @ SY202 )
| ( ordered_by @ SV12 @ SV26 @ SY201 )
| ( ordered_by @ SV12 @ SY201 @ SV26 ) ) )
| ~ ~ ( ~ ! [SY203: $i,SY204: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY204 @ SY203 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SV26 ) ) ) )
| ~ ~ ( ~ ! [SY207: $i,SY208: $i] :
( ~ ( ordered_by @ SV12 @ SV26 @ SY207 )
| ~ ( ordered_by @ SV12 @ SY207 @ SY208 )
| ( between_o @ SV12 @ SV26 @ SY207 @ SY208 ) )
| ~ ! [SY209: $i,SY210: $i] :
( ~ ( ordered_by @ SV12 @ SY210 @ SY209 )
| ~ ( ordered_by @ SV12 @ SY209 @ SV26 )
| ( between_o @ SV12 @ SV26 @ SY209 @ SY210 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(230,plain,
! [SV36: $i,SV27: $i,SV13: $i] :
( ( ( SV13 = SV27 )
| ~ ( open @ SV36 )
| ~ ( incident_c @ SV13 @ SV36 )
| ~ ( incident_c @ SV27 @ SV36 )
| ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(231,plain,
! [SV14: $i,SV28: $i] :
( ( ( ~ ( end_point @ SV28 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ( ( SV28
!= ( sK18_Q @ SV28 @ SV14 ) ) )
| ~ ( end_point @ ( sK18_Q @ SV28 @ SV14 ) @ SV14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(232,plain,
( ( ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(233,plain,
( ( ! [SX0: $i] :
( ( end_point @ ( sK23_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(234,plain,
! [SV15: $i,SV29: $i] :
( ( ~ ! [SY214: $i,SY215: $i] :
( ( SV29 = SY215 )
| ! [SY216: $i] :
( ~ ( end_point @ SV29 @ SY216 )
| ~ ( part_of @ SY216 @ SV15 )
| ~ ( end_point @ SY215 @ SY216 )
| ~ ( inner_point @ SY214 @ SY216 ) )
| ( between_c @ SV15 @ SV29 @ SY214 @ SY215 ) )
| ~ ~ ( ~ ! [SY217: $i,SY218: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY217 @ SY218 )
| ( SV29 != SY218 ) )
| ~ ! [SY219: $i,SY220: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY219 @ SY220 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SY220 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SY219 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(235,plain,
! [SV16: $i] :
( ( ~ ! [SY173: $i,SY174: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY173 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY174 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY173 )
| ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY174 ) ) )
| ( SV16
= ( sum @ SY173 @ SY174 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(236,plain,
! [SV16: $i] :
( ( ~ ! [SY175: $i,SY176: $i] :
( ( SV16
!= ( sum @ SY175 @ SY176 ) )
| ~ ( ~ ! [SY177: $i] :
( ~ ( incident_c @ SY177 @ SV16 )
| ( incident_c @ SY177 @ SY175 )
| ( incident_c @ SY177 @ SY176 ) )
| ~ ~ ( ~ ! [SY178: $i] :
( ~ ( incident_c @ SY178 @ SY175 )
| ( incident_c @ SY178 @ SV16 ) )
| ~ ! [SY179: $i] :
( ~ ( incident_c @ SY179 @ SY176 )
| ( incident_c @ SY179 @ SV16 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(237,plain,
! [SV30: $i,SV17: $i] :
( ( ( ~ ( ~ ( ~ ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
| ~ ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) )
| ~ ( ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
| ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) ) ) )
= $true )
| ( ( SV17 = SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(238,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(239,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(240,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( start_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(241,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(242,plain,
! [SV18: $i,SV31: $i] :
( ( ( ~ ( inner_point @ SV31 @ SV18 ) )
= $true )
| ( ( ~ ( ( SV18
!= ( sum @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) )
| ~ ( meet @ SV31 @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(243,plain,
! [SV19: $i,SV32: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
| ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) )
| ~ ( ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
| ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) ) ) )
= $true )
| ( ( SV19 = SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(244,plain,
! [SV1: $i,SV20: $i] :
( ( ( SV20 = SV1 )
= $true )
| ( ( ~ ( part_of @ SV20 @ SV1 ) )
= $true )
| ( ( open @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(245,plain,
! [SV37: $i,SV33: $i,SV2: $i,SV21: $i] :
( ( ~ ( part_of @ SV21 @ SV2 )
| ~ ( part_of @ SV33 @ SV2 )
| ~ ( part_of @ SV37 @ SV2 )
| ! [SY228: $i] :
( ~ ( end_point @ SY228 @ SV21 )
| ~ ( end_point @ SY228 @ SV33 )
| ~ ( end_point @ SY228 @ SV37 ) )
| ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(246,plain,
! [SV38: $i,SV34: $i,SV4: $i,SV22: $i] :
( ( ~ ( end_point @ SV22 @ SV4 )
| ~ ( end_point @ SV34 @ SV4 )
| ~ ( end_point @ SV38 @ SV4 )
| ( SV34 = SV38 )
| ( SV22 = SV34 )
| ( SV22 = SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(247,plain,
! [SV35: $i,SV23: $i,SV5: $i] :
( ( ( ~ ( closed @ SV5 )
| ! [SY224: $i] :
~ ( meet @ SY224 @ SV23 @ SV35 )
| ( SV5
!= ( sum @ SV23 @ SV35 ) ) )
= $true )
| ( ( ! [SY225: $i] :
( ~ ( end_point @ SY225 @ SV23 )
| ( meet @ SY225 @ SV23 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(248,plain,
! [SV24: $i,SV6: $i,SV39: $i] :
( ( ( ~ ( meet @ SV39 @ SV6 @ SV24 ) )
= $true )
| ( ( ( sK17_C @ SV24 @ SV6 )
= ( sum @ SV6 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(249,plain,
! [SV8: $i,SV25: $i] :
( ( ~ ! [SY192: $i,SY193: $i] :
( ! [SY194: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY194 )
| ~ ( incident_o @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY193 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY194 )
| ( incident_o @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY193 ) ) )
| ~ ( between_c @ SY194 @ SV8 @ SV25 @ SY192 ) )
| ( between_o @ SY193 @ SV8 @ SV25 @ SY192 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(250,plain,
! [SV25: $i,SV8: $i] :
( ( ~ ! [SY195: $i,SY196: $i] :
( ~ ( between_o @ SY196 @ SV8 @ SV25 @ SY195 )
| ~ ( ~ ~ ( ~ ! [SY197: $i] :
( ~ ( incident_c @ SY197 @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) )
| ( incident_o @ SY197 @ SY196 ) )
| ~ ! [SY198: $i] :
( ~ ( incident_o @ SY198 @ SY196 )
| ( incident_c @ SY198 @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SY195 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(251,plain,
! [SV40: $i] :
( ( ! [SY229: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SY229 @ SV40 ) @ SY229 )
| ~ ( part_of @ ( sK26_SY108 @ SY229 @ SV40 ) @ SY229 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SY229 @ SV40 ) ) )
| ~ ( incident_c @ SV40 @ ( sK26_SY108 @ SY229 @ SV40 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SY229 @ SV40 ) @ ( sK26_SY108 @ SY229 @ SV40 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SY229 @ SV40 ) @ ( sK25_C1 @ SY229 @ SV40 ) ) ) )
| ~ ( incident_c @ SV40 @ SY229 )
| ( end_point @ SV40 @ SY229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(252,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(253,plain,
! [SV41: $i] :
( ( ! [SY230: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SY230 @ SV41 ) @ SV41 )
| ~ ( incident_o @ ( sK5_P @ SY230 @ SV41 ) @ SY230 ) )
| ~ ( ( incident_c @ ( sK5_P @ SY230 @ SV41 ) @ SV41 )
| ( incident_o @ ( sK5_P @ SY230 @ SV41 ) @ SY230 ) ) )
| ( SV41
= ( underlying_curve @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(254,plain,
! [SV42: $i] :
( ( ! [SY231: $i] :
( ( SV42
!= ( underlying_curve @ SY231 ) )
| ~ ( ~ ! [SY232: $i] :
( ~ ( incident_c @ SY232 @ SV42 )
| ( incident_o @ SY232 @ SY231 ) )
| ~ ! [SY233: $i] :
( ~ ( incident_o @ SY233 @ SY231 )
| ( incident_c @ SY233 @ SV42 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(255,plain,
! [SV43: $i] :
( ( ! [SY234: $i] :
( ~ ( ~ ( incident_c @ ( sK28_P @ SY234 @ SV43 ) @ SY234 )
| ~ ~ ( incident_c @ ( sK28_P @ SY234 @ SV43 ) @ SV43 ) )
| ( part_of @ SY234 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(256,plain,
! [SV44: $i] :
( ( ! [SY235: $i] :
( ~ ( part_of @ SY235 @ SV44 )
| ! [SY236: $i] :
( ~ ( incident_c @ SY236 @ SY235 )
| ( incident_c @ SY236 @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(257,plain,
! [SV9: $i] :
( ( ~ ( ~ ! [SY131: $i] :
( ~ ( incident_c @ SY131 @ ( sK12_C @ SV9 ) )
| ( incident_o @ SY131 @ SV9 ) )
| ~ ! [SY132: $i] :
( ~ ( incident_o @ SY132 @ SV9 )
| ( incident_c @ SY132 @ ( sK12_C @ SV9 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(258,plain,
! [SV9: $i] :
( ( open @ ( sK12_C @ SV9 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(259,plain,
! [SV45: $i] :
( ( ! [SY237: $i] :
~ ( end_point @ SY237 @ SV45 )
| ( open @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(260,plain,
! [SV46: $i] :
( ( ~ ( open @ SV46 )
| ( end_point @ ( sK22_P @ SV46 ) @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(261,plain,
! [SV10: $i] :
( ( ! [SY133: $i,SY134: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY133 )
| ~ ( incident_c @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY134 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY133 )
| ~ ( end_point @ ( sK24_Q @ SY134 @ SY133 @ SV10 ) @ SY134 ) ) )
| ~ ( incident_c @ SV10 @ SY133 )
| ~ ( incident_c @ SV10 @ SY134 )
| ( meet @ SV10 @ SY133 @ SY134 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(262,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY135: $i,SY136: $i] :
( ~ ( meet @ SV10 @ SY135 @ SY136 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY135 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY136 ) ) ) )
| ~ ~ ( ~ ! [SY139: $i] :
( ! [SY140: $i] :
~ ( meet @ SV10 @ SY139 @ SY140 )
| ( incident_c @ SV10 @ SY139 ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( meet @ SV10 @ SY141 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(263,plain,
( ( ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ sK2_SY97 @ SX0 )
| ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ SX0 @ sK2_SY97 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(264,plain,
! [SV47: $i] :
( ( ! [SY238: $i] :
( ~ ( ~ ~ ( ~ ( ( SV47
!= ( sK13_Q @ SY238 @ SV47 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SY238 @ SV47 ) @ SY238 ) )
| ~ ~ ( ordered_by @ SY238 @ ( sK13_Q @ SY238 @ SV47 ) @ SV47 ) )
| ~ ( incident_o @ SV47 @ SY238 )
| ( finish_point @ SV47 @ SY238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(265,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(266,plain,
! [SV11: $i] :
( ( ! [SY143: $i] :
( ! [SY144: $i] :
~ ( ordered_by @ SV11 @ SY143 @ SY144 )
| ( incident_o @ SY143 @ SV11 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(267,plain,
! [SV11: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ~ ( ordered_by @ SV11 @ SY145 @ SY146 )
| ( incident_o @ SY146 @ SV11 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(268,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY199 @ SY200 )
| ( ordered_by @ SV12 @ SV26 @ SY199 )
| ( ordered_by @ SV12 @ SY200 @ SY199 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( between_o @ SV12 @ SV26 @ SY201 @ SY202 )
| ( ordered_by @ SV12 @ SV26 @ SY201 )
| ( ordered_by @ SV12 @ SY201 @ SV26 ) ) )
| ~ ~ ( ~ ! [SY203: $i,SY204: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY204 @ SY203 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SV26 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(269,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ~ ( ~ ! [SY207: $i,SY208: $i] :
( ~ ( ordered_by @ SV12 @ SV26 @ SY207 )
| ~ ( ordered_by @ SV12 @ SY207 @ SY208 )
| ( between_o @ SV12 @ SV26 @ SY207 @ SY208 ) )
| ~ ! [SY209: $i,SY210: $i] :
( ~ ( ordered_by @ SV12 @ SY210 @ SY209 )
| ~ ( ordered_by @ SV12 @ SY209 @ SV26 )
| ( between_o @ SV12 @ SV26 @ SY209 @ SY210 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(270,plain,
! [SV36: $i,SV27: $i,SV13: $i] :
( ( ( ( SV13 = SV27 )
| ~ ( open @ SV36 )
| ~ ( incident_c @ SV13 @ SV36 )
| ~ ( incident_c @ SV27 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(271,plain,
! [SV14: $i,SV28: $i] :
( ( ( end_point @ SV28 @ SV14 )
= $false )
| ( ( ~ ( ~ ( ( SV28
!= ( sK18_Q @ SV28 @ SV14 ) ) )
| ~ ( end_point @ ( sK18_Q @ SV28 @ SV14 ) @ SV14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(272,plain,
! [SV48: $i] :
( ( ~ ( closed @ SV48 )
| ! [SY239: $i] :
~ ( end_point @ SY239 @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(273,plain,
! [SV49: $i] :
( ( ( end_point @ ( sK23_P @ SV49 ) @ SV49 )
| ( closed @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(274,plain,
! [SV15: $i,SV29: $i] :
( ( ~ ! [SY214: $i,SY215: $i] :
( ( SV29 = SY215 )
| ! [SY216: $i] :
( ~ ( end_point @ SV29 @ SY216 )
| ~ ( part_of @ SY216 @ SV15 )
| ~ ( end_point @ SY215 @ SY216 )
| ~ ( inner_point @ SY214 @ SY216 ) )
| ( between_c @ SV15 @ SV29 @ SY214 @ SY215 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(275,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ~ ( ~ ! [SY217: $i,SY218: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY217 @ SY218 )
| ( SV29 != SY218 ) )
| ~ ! [SY219: $i,SY220: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY219 @ SY220 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SY220 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SY219 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(276,plain,
! [SV16: $i] :
( ( ! [SY173: $i,SY174: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY173 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY174 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SV16 )
| ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY173 )
| ( incident_c @ ( sK27_Q @ SY174 @ SY173 @ SV16 ) @ SY174 ) ) )
| ( SV16
= ( sum @ SY173 @ SY174 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(277,plain,
! [SV16: $i] :
( ( ! [SY175: $i,SY176: $i] :
( ( SV16
!= ( sum @ SY175 @ SY176 ) )
| ~ ( ~ ! [SY177: $i] :
( ~ ( incident_c @ SY177 @ SV16 )
| ( incident_c @ SY177 @ SY175 )
| ( incident_c @ SY177 @ SY176 ) )
| ~ ~ ( ~ ! [SY178: $i] :
( ~ ( incident_c @ SY178 @ SY175 )
| ( incident_c @ SY178 @ SV16 ) )
| ~ ! [SY179: $i] :
( ~ ( incident_c @ SY179 @ SY176 )
| ( incident_c @ SY179 @ SV16 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(278,plain,
! [SV30: $i,SV17: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
| ~ ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) )
| ~ ( ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
| ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) ) )
= $false )
| ( ( SV17 = SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(279,plain,
! [SV50: $i] :
( ( ! [SY240: $i] :
( ~ ( incident_c @ SV50 @ SY240 )
| ( end_point @ SV50 @ SY240 )
| ( inner_point @ SV50 @ SY240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(280,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(281,plain,
! [SV51: $i] :
( ( ! [SY241: $i] :
( ~ ( ~ ~ ( ~ ( ( SV51
!= ( sK14_Q @ SY241 @ SV51 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SY241 @ SV51 ) @ SY241 ) )
| ~ ~ ( ordered_by @ SY241 @ SV51 @ ( sK14_Q @ SY241 @ SV51 ) ) )
| ~ ( incident_o @ SV51 @ SY241 )
| ( start_point @ SV51 @ SY241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(282,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(283,plain,
! [SV18: $i,SV31: $i] :
( ( ( inner_point @ SV31 @ SV18 )
= $false )
| ( ( ~ ( ( SV18
!= ( sum @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) )
| ~ ( meet @ SV31 @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(284,plain,
! [SV19: $i,SV32: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
| ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) )
| ~ ( ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
| ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) ) )
= $false )
| ( ( SV19 = SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(285,plain,
! [SV1: $i,SV20: $i] :
( ( ( part_of @ SV20 @ SV1 )
= $false )
| ( ( SV20 = SV1 )
= $true )
| ( ( open @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(286,plain,
! [SV37: $i,SV33: $i,SV2: $i,SV21: $i] :
( ( ( ~ ( part_of @ SV21 @ SV2 )
| ~ ( part_of @ SV33 @ SV2 )
| ~ ( part_of @ SV37 @ SV2 )
| ! [SY228: $i] :
( ~ ( end_point @ SY228 @ SV21 )
| ~ ( end_point @ SY228 @ SV33 )
| ~ ( end_point @ SY228 @ SV37 ) ) )
= $true )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(287,plain,
! [SV38: $i,SV34: $i,SV4: $i,SV22: $i] :
( ( ( ~ ( end_point @ SV22 @ SV4 )
| ~ ( end_point @ SV34 @ SV4 )
| ~ ( end_point @ SV38 @ SV4 ) )
= $true )
| ( ( ( SV34 = SV38 )
| ( SV22 = SV34 )
| ( SV22 = SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(288,plain,
! [SV35: $i,SV23: $i,SV5: $i] :
( ( ( ~ ( closed @ SV5 )
| ! [SY224: $i] :
~ ( meet @ SY224 @ SV23 @ SV35 ) )
= $true )
| ( ( ( SV5
!= ( sum @ SV23 @ SV35 ) ) )
= $true )
| ( ( ! [SY225: $i] :
( ~ ( end_point @ SY225 @ SV23 )
| ( meet @ SY225 @ SV23 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(289,plain,
! [SV24: $i,SV6: $i,SV39: $i] :
( ( ( meet @ SV39 @ SV6 @ SV24 )
= $false )
| ( ( ( sK17_C @ SV24 @ SV6 )
= ( sum @ SV6 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(290,plain,
! [SV8: $i,SV25: $i] :
( ( ! [SY192: $i,SY193: $i] :
( ! [SY194: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY194 )
| ~ ( incident_o @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY193 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY194 )
| ( incident_o @ ( sK11_P @ SY194 @ SY193 @ SY192 @ SV25 @ SV8 ) @ SY193 ) ) )
| ~ ( between_c @ SY194 @ SV8 @ SV25 @ SY192 ) )
| ( between_o @ SY193 @ SV8 @ SV25 @ SY192 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(291,plain,
! [SV25: $i,SV8: $i] :
( ( ! [SY195: $i,SY196: $i] :
( ~ ( between_o @ SY196 @ SV8 @ SV25 @ SY195 )
| ~ ( ~ ~ ( ~ ! [SY197: $i] :
( ~ ( incident_c @ SY197 @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) )
| ( incident_o @ SY197 @ SY196 ) )
| ~ ! [SY198: $i] :
( ~ ( incident_o @ SY198 @ SY196 )
| ( incident_c @ SY198 @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY196 @ SY195 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SY195 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(292,plain,
! [SV40: $i,SV52: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) )
| ~ ( incident_c @ SV40 @ ( sK26_SY108 @ SV52 @ SV40 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) ) ) )
| ~ ( incident_c @ SV40 @ SV52 )
| ( end_point @ SV40 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(293,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(294,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(295,plain,
! [SV41: $i,SV53: $i] :
( ( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
| ~ ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) )
| ~ ( ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
| ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) ) )
| ( SV41
= ( underlying_curve @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(296,plain,
! [SV54: $i,SV42: $i] :
( ( ( SV42
!= ( underlying_curve @ SV54 ) )
| ~ ( ~ ! [SY242: $i] :
( ~ ( incident_c @ SY242 @ SV42 )
| ( incident_o @ SY242 @ SV54 ) )
| ~ ! [SY243: $i] :
( ~ ( incident_o @ SY243 @ SV54 )
| ( incident_c @ SY243 @ SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(297,plain,
! [SV43: $i,SV55: $i] :
( ( ~ ( ~ ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV55 )
| ~ ~ ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV43 ) )
| ( part_of @ SV55 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(298,plain,
! [SV44: $i,SV56: $i] :
( ( ~ ( part_of @ SV56 @ SV44 )
| ! [SY244: $i] :
( ~ ( incident_c @ SY244 @ SV56 )
| ( incident_c @ SY244 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(299,plain,
! [SV9: $i] :
( ( ~ ! [SY131: $i] :
( ~ ( incident_c @ SY131 @ ( sK12_C @ SV9 ) )
| ( incident_o @ SY131 @ SV9 ) )
| ~ ! [SY132: $i] :
( ~ ( incident_o @ SY132 @ SV9 )
| ( incident_c @ SY132 @ ( sK12_C @ SV9 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(300,plain,
! [SV45: $i] :
( ( ( ! [SY237: $i] :
~ ( end_point @ SY237 @ SV45 ) )
= $true )
| ( ( open @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(301,plain,
! [SV46: $i] :
( ( ( ~ ( open @ SV46 ) )
= $true )
| ( ( end_point @ ( sK22_P @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(302,plain,
! [SV10: $i,SV57: $i] :
( ( ! [SY245: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SY245 @ SV57 @ SV10 ) @ SV57 )
| ~ ( incident_c @ ( sK24_Q @ SY245 @ SV57 @ SV10 ) @ SY245 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SY245 @ SV57 @ SV10 ) @ SV57 )
| ~ ( end_point @ ( sK24_Q @ SY245 @ SV57 @ SV10 ) @ SY245 ) ) )
| ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SY245 )
| ( meet @ SV10 @ SV57 @ SY245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(303,plain,
! [SV10: $i] :
( ( ~ ! [SY135: $i,SY136: $i] :
( ~ ( meet @ SV10 @ SY135 @ SY136 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY135 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY136 ) ) ) )
| ~ ~ ( ~ ! [SY139: $i] :
( ! [SY140: $i] :
~ ( meet @ SV10 @ SY139 @ SY140 )
| ( incident_c @ SV10 @ SY139 ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( meet @ SV10 @ SY141 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(304,plain,
( ( ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ sK2_SY97 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(305,plain,
( ( ~ ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ SX0 @ sK2_SY97 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(306,plain,
! [SV58: $i,SV47: $i] :
( ( ~ ( ~ ~ ( ~ ( ( SV47
!= ( sK13_Q @ SV58 @ SV47 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV58 @ SV47 ) @ SV58 ) )
| ~ ~ ( ordered_by @ SV58 @ ( sK13_Q @ SV58 @ SV47 ) @ SV47 ) )
| ~ ( incident_o @ SV47 @ SV58 )
| ( finish_point @ SV47 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(307,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(308,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(309,plain,
! [SV59: $i,SV11: $i] :
( ( ! [SY246: $i] :
~ ( ordered_by @ SV11 @ SV59 @ SY246 )
| ( incident_o @ SV59 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(310,plain,
! [SV60: $i,SV11: $i] :
( ( ! [SY247: $i] :
( ~ ( ordered_by @ SV11 @ SV60 @ SY247 )
| ( incident_o @ SY247 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(311,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY199 @ SY200 )
| ( ordered_by @ SV12 @ SV26 @ SY199 )
| ( ordered_by @ SV12 @ SY200 @ SY199 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( between_o @ SV12 @ SV26 @ SY201 @ SY202 )
| ( ordered_by @ SV12 @ SV26 @ SY201 )
| ( ordered_by @ SV12 @ SY201 @ SV26 ) ) )
| ~ ~ ( ~ ! [SY203: $i,SY204: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY204 @ SY203 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SV26 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(312,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ( ~ ! [SY207: $i,SY208: $i] :
( ~ ( ordered_by @ SV12 @ SV26 @ SY207 )
| ~ ( ordered_by @ SV12 @ SY207 @ SY208 )
| ( between_o @ SV12 @ SV26 @ SY207 @ SY208 ) )
| ~ ! [SY209: $i,SY210: $i] :
( ~ ( ordered_by @ SV12 @ SY210 @ SY209 )
| ~ ( ordered_by @ SV12 @ SY209 @ SV26 )
| ( between_o @ SV12 @ SV26 @ SY209 @ SY210 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(313,plain,
! [SV36: $i,SV27: $i,SV13: $i] :
( ( ( ( SV13 = SV27 )
| ~ ( open @ SV36 )
| ~ ( incident_c @ SV13 @ SV36 ) )
= $true )
| ( ( ~ ( incident_c @ SV27 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(314,plain,
! [SV14: $i,SV28: $i] :
( ( ( ~ ( ( SV28
!= ( sK18_Q @ SV28 @ SV14 ) ) )
| ~ ( end_point @ ( sK18_Q @ SV28 @ SV14 ) @ SV14 ) )
= $false )
| ( ( end_point @ SV28 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(315,plain,
! [SV48: $i] :
( ( ( ~ ( closed @ SV48 ) )
= $true )
| ( ( ! [SY239: $i] :
~ ( end_point @ SY239 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(316,plain,
! [SV49: $i] :
( ( ( end_point @ ( sK23_P @ SV49 ) @ SV49 )
= $true )
| ( ( closed @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(317,plain,
! [SV15: $i,SV29: $i] :
( ( ! [SY214: $i,SY215: $i] :
( ( SV29 = SY215 )
| ! [SY216: $i] :
( ~ ( end_point @ SV29 @ SY216 )
| ~ ( part_of @ SY216 @ SV15 )
| ~ ( end_point @ SY215 @ SY216 )
| ~ ( inner_point @ SY214 @ SY216 ) )
| ( between_c @ SV15 @ SV29 @ SY214 @ SY215 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(318,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ( ~ ! [SY217: $i,SY218: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY217 @ SY218 )
| ( SV29 != SY218 ) )
| ~ ! [SY219: $i,SY220: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY219 @ SY220 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SY220 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SY219 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(319,plain,
! [SV16: $i,SV61: $i] :
( ( ! [SY248: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SY248 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SY248 @ SV61 @ SV16 ) @ SV61 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SY248 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SY248 @ SV61 @ SV16 ) @ SY248 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SY248 @ SV61 @ SV16 ) @ SV16 )
| ( incident_c @ ( sK27_Q @ SY248 @ SV61 @ SV16 ) @ SV61 )
| ( incident_c @ ( sK27_Q @ SY248 @ SV61 @ SV16 ) @ SY248 ) ) )
| ( SV16
= ( sum @ SV61 @ SY248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(320,plain,
! [SV62: $i,SV16: $i] :
( ( ! [SY249: $i] :
( ( SV16
!= ( sum @ SV62 @ SY249 ) )
| ~ ( ~ ! [SY250: $i] :
( ~ ( incident_c @ SY250 @ SV16 )
| ( incident_c @ SY250 @ SV62 )
| ( incident_c @ SY250 @ SY249 ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( incident_c @ SY251 @ SV62 )
| ( incident_c @ SY251 @ SV16 ) )
| ~ ! [SY179: $i] :
( ~ ( incident_c @ SY179 @ SY249 )
| ( incident_c @ SY179 @ SV16 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(321,plain,
! [SV30: $i,SV17: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
| ~ ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) ) )
= $false )
| ( ( SV17 = SV30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(322,plain,
! [SV30: $i,SV17: $i] :
( ( ( ~ ( ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
| ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) ) )
= $false )
| ( ( SV17 = SV30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(323,plain,
! [SV63: $i,SV50: $i] :
( ( ~ ( incident_c @ SV50 @ SV63 )
| ( end_point @ SV50 @ SV63 )
| ( inner_point @ SV50 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(324,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(325,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(326,plain,
! [SV64: $i,SV51: $i] :
( ( ~ ( ~ ~ ( ~ ( ( SV51
!= ( sK14_Q @ SV64 @ SV51 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV64 @ SV51 ) @ SV64 ) )
| ~ ~ ( ordered_by @ SV64 @ SV51 @ ( sK14_Q @ SV64 @ SV51 ) ) )
| ~ ( incident_o @ SV51 @ SV64 )
| ( start_point @ SV51 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(327,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(328,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(329,plain,
! [SV31: $i,SV18: $i] :
( ( ( ( SV18
!= ( sum @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) )
| ~ ( meet @ SV31 @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) )
= $false )
| ( ( inner_point @ SV31 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(330,plain,
! [SV19: $i,SV32: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
| ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) ) )
= $false )
| ( ( SV19 = SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(331,plain,
! [SV19: $i,SV32: $i] :
( ( ( ~ ( ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
| ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) ) )
= $false )
| ( ( SV19 = SV32 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(332,plain,
! [SV37: $i,SV33: $i,SV2: $i,SV21: $i] :
( ( ( ~ ( part_of @ SV21 @ SV2 )
| ~ ( part_of @ SV33 @ SV2 )
| ~ ( part_of @ SV37 @ SV2 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( end_point @ SY228 @ SV21 )
| ~ ( end_point @ SY228 @ SV33 )
| ~ ( end_point @ SY228 @ SV37 ) ) )
= $true )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(333,plain,
! [SV38: $i,SV34: $i,SV4: $i,SV22: $i] :
( ( ( ~ ( end_point @ SV22 @ SV4 )
| ~ ( end_point @ SV34 @ SV4 ) )
= $true )
| ( ( ~ ( end_point @ SV38 @ SV4 ) )
= $true )
| ( ( ( SV34 = SV38 )
| ( SV22 = SV34 )
| ( SV22 = SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(334,plain,
! [SV35: $i,SV23: $i,SV5: $i] :
( ( ( ~ ( closed @ SV5 ) )
= $true )
| ( ( ! [SY224: $i] :
~ ( meet @ SY224 @ SV23 @ SV35 ) )
= $true )
| ( ( ( SV5
!= ( sum @ SV23 @ SV35 ) ) )
= $true )
| ( ( ! [SY225: $i] :
( ~ ( end_point @ SY225 @ SV23 )
| ( meet @ SY225 @ SV23 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(335,plain,
! [SV8: $i,SV25: $i,SV65: $i] :
( ( ! [SY253: $i] :
( ! [SY254: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY254 @ SY253 @ SV65 @ SV25 @ SV8 ) @ SY254 )
| ~ ( incident_o @ ( sK11_P @ SY254 @ SY253 @ SV65 @ SV25 @ SV8 ) @ SY253 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY254 @ SY253 @ SV65 @ SV25 @ SV8 ) @ SY254 )
| ( incident_o @ ( sK11_P @ SY254 @ SY253 @ SV65 @ SV25 @ SV8 ) @ SY253 ) ) )
| ~ ( between_c @ SY254 @ SV8 @ SV25 @ SV65 ) )
| ( between_o @ SY253 @ SV8 @ SV25 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(336,plain,
! [SV66: $i,SV25: $i,SV8: $i] :
( ( ! [SY255: $i] :
( ~ ( between_o @ SY255 @ SV8 @ SV25 @ SV66 )
| ~ ( ~ ~ ( ~ ! [SY256: $i] :
( ~ ( incident_c @ SY256 @ ( sK10_C @ SY255 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SY256 @ SY255 ) )
| ~ ! [SY257: $i] :
( ~ ( incident_o @ SY257 @ SY255 )
| ( incident_c @ SY257 @ ( sK10_C @ SY255 @ SV66 @ SV25 @ SV8 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY255 @ SV66 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SV66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(337,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) )
| ~ ( incident_c @ SV40 @ ( sK26_SY108 @ SV52 @ SV40 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) ) ) )
| ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(338,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(339,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(340,plain,
! [SV41: $i,SV53: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
| ~ ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) )
| ~ ( ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
| ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) ) ) )
= $true )
| ( ( SV41
= ( underlying_curve @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(341,plain,
! [SV54: $i,SV42: $i] :
( ( ( ( SV42
!= ( underlying_curve @ SV54 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY242: $i] :
( ~ ( incident_c @ SY242 @ SV42 )
| ( incident_o @ SY242 @ SV54 ) )
| ~ ! [SY243: $i] :
( ~ ( incident_o @ SY243 @ SV54 )
| ( incident_c @ SY243 @ SV42 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(342,plain,
! [SV43: $i,SV55: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV55 )
| ~ ~ ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV43 ) ) )
= $true )
| ( ( part_of @ SV55 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(343,plain,
! [SV44: $i,SV56: $i] :
( ( ( ~ ( part_of @ SV56 @ SV44 ) )
= $true )
| ( ( ! [SY244: $i] :
( ~ ( incident_c @ SY244 @ SV56 )
| ( incident_c @ SY244 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(344,plain,
! [SV9: $i] :
( ( ~ ! [SY131: $i] :
( ~ ( incident_c @ SY131 @ ( sK12_C @ SV9 ) )
| ( incident_o @ SY131 @ SV9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(345,plain,
! [SV9: $i] :
( ( ~ ! [SY132: $i] :
( ~ ( incident_o @ SY132 @ SV9 )
| ( incident_c @ SY132 @ ( sK12_C @ SV9 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(346,plain,
! [SV45: $i,SV67: $i] :
( ( ( ~ ( end_point @ SV67 @ SV45 ) )
= $true )
| ( ( open @ SV45 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(347,plain,
! [SV46: $i] :
( ( ( open @ SV46 )
= $false )
| ( ( end_point @ ( sK22_P @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(348,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) ) )
| ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 )
| ( meet @ SV10 @ SV57 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(349,plain,
! [SV10: $i] :
( ( ~ ! [SY135: $i,SY136: $i] :
( ~ ( meet @ SV10 @ SY135 @ SY136 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY135 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY136 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(350,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ! [SY139: $i] :
( ! [SY140: $i] :
~ ( meet @ SV10 @ SY139 @ SY140 )
| ( incident_c @ SV10 @ SY139 ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( meet @ SV10 @ SY141 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(351,plain,
( ( ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ sK2_SY97 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(352,plain,
( ( ! [SX0: $i] :
~ ( ordered_by @ sK1_O @ SX0 @ sK2_SY97 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(353,plain,
! [SV58: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV47
!= ( sK13_Q @ SV58 @ SV47 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV58 @ SV47 ) @ SV58 ) )
| ~ ~ ( ordered_by @ SV58 @ ( sK13_Q @ SV58 @ SV47 ) @ SV47 ) )
| ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(354,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(355,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(356,plain,
! [SV59: $i,SV11: $i] :
( ( ( ! [SY246: $i] :
~ ( ordered_by @ SV11 @ SV59 @ SY246 ) )
= $true )
| ( ( incident_o @ SV59 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(357,plain,
! [SV69: $i,SV60: $i,SV11: $i] :
( ( ~ ( ordered_by @ SV11 @ SV60 @ SV69 )
| ( incident_o @ SV69 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(358,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY199 @ SY200 )
| ( ordered_by @ SV12 @ SV26 @ SY199 )
| ( ordered_by @ SV12 @ SY200 @ SY199 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( between_o @ SV12 @ SV26 @ SY201 @ SY202 )
| ( ordered_by @ SV12 @ SV26 @ SY201 )
| ( ordered_by @ SV12 @ SY201 @ SV26 ) ) )
| ~ ~ ( ~ ! [SY203: $i,SY204: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY204 @ SY203 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SV26 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(359,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ! [SY207: $i,SY208: $i] :
( ~ ( ordered_by @ SV12 @ SV26 @ SY207 )
| ~ ( ordered_by @ SV12 @ SY207 @ SY208 )
| ( between_o @ SV12 @ SV26 @ SY207 @ SY208 ) )
| ~ ! [SY209: $i,SY210: $i] :
( ~ ( ordered_by @ SV12 @ SY210 @ SY209 )
| ~ ( ordered_by @ SV12 @ SY209 @ SV26 )
| ( between_o @ SV12 @ SV26 @ SY209 @ SY210 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(360,plain,
! [SV36: $i,SV27: $i,SV13: $i] :
( ( ( ( SV13 = SV27 )
| ~ ( open @ SV36 ) )
= $true )
| ( ( ~ ( incident_c @ SV13 @ SV36 ) )
= $true )
| ( ( ~ ( incident_c @ SV27 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(361,plain,
! [SV14: $i,SV28: $i] :
( ( ( ~ ( ( SV28
!= ( sK18_Q @ SV28 @ SV14 ) ) ) )
= $false )
| ( ( end_point @ SV28 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(362,plain,
! [SV14: $i,SV28: $i] :
( ( ( ~ ( end_point @ ( sK18_Q @ SV28 @ SV14 ) @ SV14 ) )
= $false )
| ( ( end_point @ SV28 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(363,plain,
! [SV48: $i] :
( ( ( closed @ SV48 )
= $false )
| ( ( ! [SY239: $i] :
~ ( end_point @ SY239 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(364,plain,
! [SV70: $i,SV15: $i,SV29: $i] :
( ( ! [SY258: $i] :
( ( SV29 = SY258 )
| ! [SY259: $i] :
( ~ ( end_point @ SV29 @ SY259 )
| ~ ( part_of @ SY259 @ SV15 )
| ~ ( end_point @ SY258 @ SY259 )
| ~ ( inner_point @ SV70 @ SY259 ) )
| ( between_c @ SV15 @ SV29 @ SV70 @ SY258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(365,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ! [SY217: $i,SY218: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY217 @ SY218 )
| ( SV29 != SY218 ) )
| ~ ! [SY219: $i,SY220: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY219 @ SY220 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SY220 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SY219 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(366,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) )
| ( SV16
= ( sum @ SV61 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(367,plain,
! [SV72: $i,SV62: $i,SV16: $i] :
( ( ( SV16
!= ( sum @ SV62 @ SV72 ) )
| ~ ( ~ ! [SY260: $i] :
( ~ ( incident_c @ SY260 @ SV16 )
| ( incident_c @ SY260 @ SV62 )
| ( incident_c @ SY260 @ SV72 ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( incident_c @ SY251 @ SV62 )
| ( incident_c @ SY251 @ SV16 ) )
| ~ ! [SY262: $i] :
( ~ ( incident_c @ SY262 @ SV72 )
| ( incident_c @ SY262 @ SV16 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(368,plain,
! [SV30: $i,SV17: $i] :
( ( ( ~ ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
| ~ ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) )
= $true )
| ( ( SV17 = SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(369,plain,
! [SV30: $i,SV17: $i] :
( ( ( ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
| ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) )
= $true )
| ( ( SV17 = SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(370,plain,
! [SV63: $i,SV50: $i] :
( ( ( ~ ( incident_c @ SV50 @ SV63 )
| ( end_point @ SV50 @ SV63 ) )
= $true )
| ( ( inner_point @ SV50 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(371,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(372,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(373,plain,
! [SV64: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV51
!= ( sK14_Q @ SV64 @ SV51 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV64 @ SV51 ) @ SV64 ) )
| ~ ~ ( ordered_by @ SV64 @ SV51 @ ( sK14_Q @ SV64 @ SV51 ) ) )
| ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(374,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(375,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(376,plain,
! [SV31: $i,SV18: $i] :
( ( ( ( SV18
!= ( sum @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) ) )
= $false )
| ( ( inner_point @ SV31 @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(377,plain,
! [SV18: $i,SV31: $i] :
( ( ( ~ ( meet @ SV31 @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) )
= $false )
| ( ( inner_point @ SV31 @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(378,plain,
! [SV19: $i,SV32: $i] :
( ( ( ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
| ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) )
= $true )
| ( ( SV19 = SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(379,plain,
! [SV19: $i,SV32: $i] :
( ( ( ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
| ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) )
= $true )
| ( ( SV19 = SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(380,plain,
! [SV37: $i,SV33: $i,SV2: $i,SV21: $i] :
( ( ( ~ ( part_of @ SV21 @ SV2 )
| ~ ( part_of @ SV33 @ SV2 ) )
= $true )
| ( ( ~ ( part_of @ SV37 @ SV2 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( end_point @ SY228 @ SV21 )
| ~ ( end_point @ SY228 @ SV33 )
| ~ ( end_point @ SY228 @ SV37 ) ) )
= $true )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(381,plain,
! [SV38: $i,SV34: $i,SV4: $i,SV22: $i] :
( ( ( ~ ( end_point @ SV22 @ SV4 ) )
= $true )
| ( ( ~ ( end_point @ SV34 @ SV4 ) )
= $true )
| ( ( ~ ( end_point @ SV38 @ SV4 ) )
= $true )
| ( ( ( SV34 = SV38 )
| ( SV22 = SV34 )
| ( SV22 = SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(382,plain,
! [SV35: $i,SV23: $i,SV5: $i] :
( ( ( closed @ SV5 )
= $false )
| ( ( ! [SY224: $i] :
~ ( meet @ SY224 @ SV23 @ SV35 ) )
= $true )
| ( ( ( SV5
!= ( sum @ SV23 @ SV35 ) ) )
= $true )
| ( ( ! [SY225: $i] :
( ~ ( end_point @ SY225 @ SV23 )
| ( meet @ SY225 @ SV23 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(383,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i] :
( ( ! [SY263: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY263 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SY263 )
| ~ ( incident_o @ ( sK11_P @ SY263 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY263 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SY263 )
| ( incident_o @ ( sK11_P @ SY263 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) ) )
| ~ ( between_c @ SY263 @ SV8 @ SV25 @ SV65 ) )
| ( between_o @ SV73 @ SV8 @ SV25 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(384,plain,
! [SV66: $i,SV25: $i,SV8: $i,SV74: $i] :
( ( ~ ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
| ~ ( ~ ~ ( ~ ! [SY264: $i] :
( ~ ( incident_c @ SY264 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SY264 @ SV74 ) )
| ~ ! [SY265: $i] :
( ~ ( incident_o @ SY265 @ SV74 )
| ( incident_c @ SY265 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(385,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) )
| ~ ( incident_c @ SV40 @ ( sK26_SY108 @ SV52 @ SV40 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(386,plain,
! [SV75: $i] :
( ( ! [SY266: $i] :
( ~ ( end_point @ SV75 @ SY266 )
| ! [SY267: $i,SY268: $i] :
( ~ ( part_of @ SY267 @ SY266 )
| ~ ( part_of @ SY268 @ SY266 )
| ~ ( incident_c @ SV75 @ SY267 )
| ~ ( incident_c @ SV75 @ SY268 )
| ( part_of @ SY267 @ SY268 )
| ( part_of @ SY268 @ SY267 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(387,plain,
! [SV76: $i] :
( ( ! [SY269: $i] :
( ~ ( end_point @ SV76 @ SY269 )
| ( incident_c @ SV76 @ SY269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(388,plain,
! [SV41: $i,SV53: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
| ~ ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) )
| ~ ( ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
| ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) ) )
= $false )
| ( ( SV41
= ( underlying_curve @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(389,plain,
! [SV54: $i,SV42: $i] :
( ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false )
| ( ( ~ ( ~ ! [SY242: $i] :
( ~ ( incident_c @ SY242 @ SV42 )
| ( incident_o @ SY242 @ SV54 ) )
| ~ ! [SY243: $i] :
( ~ ( incident_o @ SY243 @ SV54 )
| ( incident_c @ SY243 @ SV42 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(390,plain,
! [SV43: $i,SV55: $i] :
( ( ( ~ ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV55 )
| ~ ~ ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV43 ) )
= $false )
| ( ( part_of @ SV55 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(391,plain,
! [SV44: $i,SV56: $i] :
( ( ( part_of @ SV56 @ SV44 )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( incident_c @ SY244 @ SV56 )
| ( incident_c @ SY244 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(392,plain,
! [SV9: $i] :
( ( ! [SY131: $i] :
( ~ ( incident_c @ SY131 @ ( sK12_C @ SV9 ) )
| ( incident_o @ SY131 @ SV9 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(393,plain,
! [SV9: $i] :
( ( ! [SY132: $i] :
( ~ ( incident_o @ SY132 @ SV9 )
| ( incident_c @ SY132 @ ( sK12_C @ SV9 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(394,plain,
! [SV45: $i,SV67: $i] :
( ( ( end_point @ SV67 @ SV45 )
= $false )
| ( ( open @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(395,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) ) )
| ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(396,plain,
! [SV10: $i] :
( ( ! [SY135: $i,SY136: $i] :
( ~ ( meet @ SV10 @ SY135 @ SY136 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY135 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY135 )
| ~ ( incident_c @ SX3 @ SY136 )
| ( end_point @ SX3 @ SY136 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(397,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY139: $i] :
( ! [SY140: $i] :
~ ( meet @ SV10 @ SY139 @ SY140 )
| ( incident_c @ SV10 @ SY139 ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( meet @ SV10 @ SY141 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(398,plain,
! [SV77: $i] :
( ( ~ ( ordered_by @ sK1_O @ sK2_SY97 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(399,plain,
! [SV78: $i] :
( ( ~ ( ordered_by @ sK1_O @ SV78 @ sK2_SY97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(400,plain,
! [SV58: $i,SV47: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV47
!= ( sK13_Q @ SV58 @ SV47 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV58 @ SV47 ) @ SV58 ) )
| ~ ~ ( ordered_by @ SV58 @ ( sK13_Q @ SV58 @ SV47 ) @ SV47 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(401,plain,
! [SV79: $i] :
( ( ! [SY270: $i] :
( ~ ( finish_point @ SV79 @ SY270 )
| ! [SY271: $i] :
( ( SV79 = SY271 )
| ~ ( incident_o @ SY271 @ SY270 )
| ( ordered_by @ SY270 @ SY271 @ SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(402,plain,
! [SV80: $i] :
( ( ! [SY272: $i] :
( ~ ( finish_point @ SV80 @ SY272 )
| ( incident_o @ SV80 @ SY272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(403,plain,
! [SV81: $i,SV59: $i,SV11: $i] :
( ( ( ~ ( ordered_by @ SV11 @ SV59 @ SV81 ) )
= $true )
| ( ( incident_o @ SV59 @ SV11 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(404,plain,
! [SV69: $i,SV60: $i,SV11: $i] :
( ( ( ~ ( ordered_by @ SV11 @ SV60 @ SV69 ) )
= $true )
| ( ( incident_o @ SV69 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(405,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY199 @ SY200 )
| ( ordered_by @ SV12 @ SV26 @ SY199 )
| ( ordered_by @ SV12 @ SY200 @ SY199 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( between_o @ SV12 @ SV26 @ SY201 @ SY202 )
| ( ordered_by @ SV12 @ SV26 @ SY201 )
| ( ordered_by @ SV12 @ SY201 @ SV26 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(406,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ~ ( ~ ! [SY203: $i,SY204: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY204 @ SY203 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SV26 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(407,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ! [SY207: $i,SY208: $i] :
( ~ ( ordered_by @ SV12 @ SV26 @ SY207 )
| ~ ( ordered_by @ SV12 @ SY207 @ SY208 )
| ( between_o @ SV12 @ SV26 @ SY207 @ SY208 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(408,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ! [SY209: $i,SY210: $i] :
( ~ ( ordered_by @ SV12 @ SY210 @ SY209 )
| ~ ( ordered_by @ SV12 @ SY209 @ SV26 )
| ( between_o @ SV12 @ SV26 @ SY209 @ SY210 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[359]) ).
thf(409,plain,
! [SV36: $i,SV27: $i,SV13: $i] :
( ( ( SV13 = SV27 )
= $true )
| ( ( ~ ( open @ SV36 ) )
= $true )
| ( ( ~ ( incident_c @ SV13 @ SV36 ) )
= $true )
| ( ( ~ ( incident_c @ SV27 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(410,plain,
! [SV14: $i,SV28: $i] :
( ( ( ( SV28
!= ( sK18_Q @ SV28 @ SV14 ) ) )
= $true )
| ( ( end_point @ SV28 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(411,plain,
! [SV14: $i,SV28: $i] :
( ( ( end_point @ ( sK18_Q @ SV28 @ SV14 ) @ SV14 )
= $true )
| ( ( end_point @ SV28 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(412,plain,
! [SV48: $i,SV82: $i] :
( ( ( ~ ( end_point @ SV82 @ SV48 ) )
= $true )
| ( ( closed @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(413,plain,
! [SV70: $i,SV15: $i,SV83: $i,SV29: $i] :
( ( ( SV29 = SV83 )
| ! [SY273: $i] :
( ~ ( end_point @ SV29 @ SY273 )
| ~ ( part_of @ SY273 @ SV15 )
| ~ ( end_point @ SV83 @ SY273 )
| ~ ( inner_point @ SV70 @ SY273 ) )
| ( between_c @ SV15 @ SV29 @ SV70 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(414,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ! [SY217: $i,SY218: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY217 @ SY218 )
| ( SV29 != SY218 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(415,plain,
! [SV29: $i,SV15: $i] :
( ( ~ ! [SY219: $i,SY220: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY219 @ SY220 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SY220 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SY219 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(416,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) ) )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(417,plain,
! [SV72: $i,SV62: $i,SV16: $i] :
( ( ( ( SV16
!= ( sum @ SV62 @ SV72 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY260: $i] :
( ~ ( incident_c @ SY260 @ SV16 )
| ( incident_c @ SY260 @ SV62 )
| ( incident_c @ SY260 @ SV72 ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( incident_c @ SY251 @ SV62 )
| ( incident_c @ SY251 @ SV16 ) )
| ~ ! [SY262: $i] :
( ~ ( incident_c @ SY262 @ SV72 )
| ( incident_c @ SY262 @ SV16 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(418,plain,
! [SV30: $i,SV17: $i] :
( ( ( ~ ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) )
= $true )
| ( ( ~ ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) )
= $true )
| ( ( SV17 = SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(419,plain,
! [SV30: $i,SV17: $i] :
( ( ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
= $true )
| ( ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
= $true )
| ( ( SV17 = SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(420,plain,
! [SV63: $i,SV50: $i] :
( ( ( ~ ( incident_c @ SV50 @ SV63 ) )
= $true )
| ( ( end_point @ SV50 @ SV63 )
= $true )
| ( ( inner_point @ SV50 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(421,plain,
! [SV84: $i] :
( ( ! [SY274: $i] :
( ~ ( inner_point @ SV84 @ SY274 )
| ( incident_c @ SV84 @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(422,plain,
! [SV85: $i] :
( ( ! [SY275: $i] :
( ~ ( inner_point @ SV85 @ SY275 )
| ~ ( end_point @ SV85 @ SY275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(423,plain,
! [SV64: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV51
!= ( sK14_Q @ SV64 @ SV51 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV64 @ SV51 ) @ SV64 ) )
| ~ ~ ( ordered_by @ SV64 @ SV51 @ ( sK14_Q @ SV64 @ SV51 ) ) ) )
= $true )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(424,plain,
! [SV86: $i] :
( ( ! [SY276: $i] :
( ~ ( start_point @ SV86 @ SY276 )
| ! [SY277: $i] :
( ( SV86 = SY277 )
| ~ ( incident_o @ SY277 @ SY276 )
| ( ordered_by @ SY276 @ SV86 @ SY277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(425,plain,
! [SV87: $i] :
( ( ! [SY278: $i] :
( ~ ( start_point @ SV87 @ SY278 )
| ( incident_o @ SV87 @ SY278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(426,plain,
! [SV31: $i,SV18: $i] :
( ( ( SV18
= ( sum @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) ) )
= $true )
| ( ( inner_point @ SV31 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(427,plain,
! [SV18: $i,SV31: $i] :
( ( ( meet @ SV31 @ ( sK19_C1 @ SV31 @ SV18 ) @ ( sK20_SY107 @ SV31 @ SV18 ) )
= $true )
| ( ( inner_point @ SV31 @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(428,plain,
! [SV19: $i,SV32: $i] :
( ( ( ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 ) )
= $true )
| ( ( ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) )
= $true )
| ( ( SV19 = SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(429,plain,
! [SV19: $i,SV32: $i] :
( ( ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
= $true )
| ( ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 )
= $true )
| ( ( SV19 = SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(430,plain,
! [SV37: $i,SV33: $i,SV2: $i,SV21: $i] :
( ( ( ~ ( part_of @ SV21 @ SV2 ) )
= $true )
| ( ( ~ ( part_of @ SV33 @ SV2 ) )
= $true )
| ( ( ~ ( part_of @ SV37 @ SV2 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( end_point @ SY228 @ SV21 )
| ~ ( end_point @ SY228 @ SV33 )
| ~ ( end_point @ SY228 @ SV37 ) ) )
= $true )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(431,plain,
! [SV38: $i,SV34: $i,SV4: $i,SV22: $i] :
( ( ( end_point @ SV22 @ SV4 )
= $false )
| ( ( ~ ( end_point @ SV34 @ SV4 ) )
= $true )
| ( ( ~ ( end_point @ SV38 @ SV4 ) )
= $true )
| ( ( ( SV34 = SV38 )
| ( SV22 = SV34 )
| ( SV22 = SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(432,plain,
! [SV5: $i,SV35: $i,SV23: $i,SV88: $i] :
( ( ( ~ ( meet @ SV88 @ SV23 @ SV35 ) )
= $true )
| ( ( closed @ SV5 )
= $false )
| ( ( ( SV5
!= ( sum @ SV23 @ SV35 ) ) )
= $true )
| ( ( ! [SY225: $i] :
( ~ ( end_point @ SY225 @ SV23 )
| ( meet @ SY225 @ SV23 @ SV35 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(433,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i] :
( ( ( ! [SY263: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY263 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SY263 )
| ~ ( incident_o @ ( sK11_P @ SY263 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY263 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SY263 )
| ( incident_o @ ( sK11_P @ SY263 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) ) )
| ~ ( between_c @ SY263 @ SV8 @ SV25 @ SV65 ) ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(434,plain,
! [SV66: $i,SV25: $i,SV8: $i,SV74: $i] :
( ( ( ~ ( between_o @ SV74 @ SV8 @ SV25 @ SV66 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY264: $i] :
( ~ ( incident_c @ SY264 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SY264 @ SV74 ) )
| ~ ! [SY265: $i] :
( ~ ( incident_o @ SY265 @ SV74 )
| ( incident_c @ SY265 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SV66 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(435,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) )
| ~ ( incident_c @ SV40 @ ( sK26_SY108 @ SV52 @ SV40 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(436,plain,
! [SV89: $i,SV75: $i] :
( ( ~ ( end_point @ SV75 @ SV89 )
| ! [SY279: $i,SY280: $i] :
( ~ ( part_of @ SY279 @ SV89 )
| ~ ( part_of @ SY280 @ SV89 )
| ~ ( incident_c @ SV75 @ SY279 )
| ~ ( incident_c @ SV75 @ SY280 )
| ( part_of @ SY279 @ SY280 )
| ( part_of @ SY280 @ SY279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(437,plain,
! [SV90: $i,SV76: $i] :
( ( ~ ( end_point @ SV76 @ SV90 )
| ( incident_c @ SV76 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(438,plain,
! [SV41: $i,SV53: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
| ~ ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) ) )
= $false )
| ( ( SV41
= ( underlying_curve @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[388]) ).
thf(439,plain,
! [SV41: $i,SV53: $i] :
( ( ( ~ ( ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
| ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) ) )
= $false )
| ( ( SV41
= ( underlying_curve @ SV53 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[388]) ).
thf(440,plain,
! [SV54: $i,SV42: $i] :
( ( ( ~ ! [SY242: $i] :
( ~ ( incident_c @ SY242 @ SV42 )
| ( incident_o @ SY242 @ SV54 ) )
| ~ ! [SY243: $i] :
( ~ ( incident_o @ SY243 @ SV54 )
| ( incident_c @ SY243 @ SV42 ) ) )
= $false )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(441,plain,
! [SV43: $i,SV55: $i] :
( ( ( ~ ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV55 ) )
= $false )
| ( ( part_of @ SV55 @ SV43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(442,plain,
! [SV43: $i,SV55: $i] :
( ( ( ~ ~ ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV43 ) )
= $false )
| ( ( part_of @ SV55 @ SV43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(443,plain,
! [SV44: $i,SV56: $i,SV91: $i] :
( ( ( ~ ( incident_c @ SV91 @ SV56 )
| ( incident_c @ SV91 @ SV44 ) )
= $true )
| ( ( part_of @ SV56 @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(444,plain,
! [SV9: $i,SV92: $i] :
( ( ~ ( incident_c @ SV92 @ ( sK12_C @ SV9 ) )
| ( incident_o @ SV92 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(445,plain,
! [SV9: $i,SV93: $i] :
( ( ~ ( incident_o @ SV93 @ SV9 )
| ( incident_c @ SV93 @ ( sK12_C @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(446,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(447,plain,
! [SV94: $i,SV10: $i] :
( ( ! [SY281: $i] :
( ~ ( meet @ SV10 @ SV94 @ SY281 )
| ~ ( ~ ! [SY282: $i] :
( ~ ( incident_c @ SY282 @ SV94 )
| ~ ( incident_c @ SY282 @ SY281 )
| ( end_point @ SY282 @ SV94 ) )
| ~ ! [SY283: $i] :
( ~ ( incident_c @ SY283 @ SV94 )
| ~ ( incident_c @ SY283 @ SY281 )
| ( end_point @ SY283 @ SY281 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(448,plain,
! [SV10: $i] :
( ( ~ ! [SY139: $i] :
( ! [SY140: $i] :
~ ( meet @ SV10 @ SY139 @ SY140 )
| ( incident_c @ SV10 @ SY139 ) )
| ~ ! [SY141: $i,SY142: $i] :
( ~ ( meet @ SV10 @ SY141 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(449,plain,
! [SV77: $i] :
( ( ordered_by @ sK1_O @ sK2_SY97 @ SV77 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(450,plain,
! [SV78: $i] :
( ( ordered_by @ sK1_O @ SV78 @ sK2_SY97 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(451,plain,
! [SV58: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( ( SV47
!= ( sK13_Q @ SV58 @ SV47 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV58 @ SV47 ) @ SV58 ) )
| ~ ~ ( ordered_by @ SV58 @ ( sK13_Q @ SV58 @ SV47 ) @ SV47 ) )
= $false )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(452,plain,
! [SV95: $i,SV79: $i] :
( ( ~ ( finish_point @ SV79 @ SV95 )
| ! [SY284: $i] :
( ( SV79 = SY284 )
| ~ ( incident_o @ SY284 @ SV95 )
| ( ordered_by @ SV95 @ SY284 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(453,plain,
! [SV96: $i,SV80: $i] :
( ( ~ ( finish_point @ SV80 @ SV96 )
| ( incident_o @ SV80 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(454,plain,
! [SV81: $i,SV59: $i,SV11: $i] :
( ( ( ordered_by @ SV11 @ SV59 @ SV81 )
= $false )
| ( ( incident_o @ SV59 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(455,plain,
! [SV69: $i,SV60: $i,SV11: $i] :
( ( ( ordered_by @ SV11 @ SV60 @ SV69 )
= $false )
| ( ( incident_o @ SV69 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(456,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY199 @ SY200 )
| ( ordered_by @ SV12 @ SV26 @ SY199 )
| ( ordered_by @ SV12 @ SY200 @ SY199 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( between_o @ SV12 @ SV26 @ SY201 @ SY202 )
| ( ordered_by @ SV12 @ SV26 @ SY201 )
| ( ordered_by @ SV12 @ SY201 @ SV26 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(457,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ( ~ ! [SY203: $i,SY204: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY204 @ SY203 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SV26 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(458,plain,
! [SV26: $i,SV12: $i] :
( ( ! [SY207: $i,SY208: $i] :
( ~ ( ordered_by @ SV12 @ SV26 @ SY207 )
| ~ ( ordered_by @ SV12 @ SY207 @ SY208 )
| ( between_o @ SV12 @ SV26 @ SY207 @ SY208 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(459,plain,
! [SV26: $i,SV12: $i] :
( ( ! [SY209: $i,SY210: $i] :
( ~ ( ordered_by @ SV12 @ SY210 @ SY209 )
| ~ ( ordered_by @ SV12 @ SY209 @ SV26 )
| ( between_o @ SV12 @ SV26 @ SY209 @ SY210 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[408]) ).
thf(460,plain,
! [SV27: $i,SV13: $i,SV36: $i] :
( ( ( open @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( ~ ( incident_c @ SV13 @ SV36 ) )
= $true )
| ( ( ~ ( incident_c @ SV27 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(461,plain,
! [SV14: $i,SV28: $i] :
( ( ( SV28
= ( sK18_Q @ SV28 @ SV14 ) )
= $false )
| ( ( end_point @ SV28 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(462,plain,
! [SV48: $i,SV82: $i] :
( ( ( end_point @ SV82 @ SV48 )
= $false )
| ( ( closed @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(463,plain,
! [SV70: $i,SV15: $i,SV83: $i,SV29: $i] :
( ( ( ( SV29 = SV83 )
| ! [SY273: $i] :
( ~ ( end_point @ SV29 @ SY273 )
| ~ ( part_of @ SY273 @ SV15 )
| ~ ( end_point @ SV83 @ SY273 )
| ~ ( inner_point @ SV70 @ SY273 ) ) )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV70 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(464,plain,
! [SV29: $i,SV15: $i] :
( ( ! [SY217: $i,SY218: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY217 @ SY218 )
| ( SV29 != SY218 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(465,plain,
! [SV29: $i,SV15: $i] :
( ( ! [SY219: $i,SY220: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SY219 @ SY220 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SY220 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SY219 @ ( sK15_Cpp @ SY220 @ SY219 @ SV29 @ SV15 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(466,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) )
= $false )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(467,plain,
! [SV72: $i,SV62: $i,SV16: $i] :
( ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false )
| ( ( ~ ( ~ ! [SY260: $i] :
( ~ ( incident_c @ SY260 @ SV16 )
| ( incident_c @ SY260 @ SV62 )
| ( incident_c @ SY260 @ SV72 ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( incident_c @ SY251 @ SV62 )
| ( incident_c @ SY251 @ SV16 ) )
| ~ ! [SY262: $i] :
( ~ ( incident_c @ SY262 @ SV72 )
| ( incident_c @ SY262 @ SV16 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(468,plain,
! [SV30: $i,SV17: $i] :
( ( ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
= $false )
| ( ( ~ ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) ) )
= $true )
| ( ( SV17 = SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(469,plain,
! [SV63: $i,SV50: $i] :
( ( ( incident_c @ SV50 @ SV63 )
= $false )
| ( ( end_point @ SV50 @ SV63 )
= $true )
| ( ( inner_point @ SV50 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(470,plain,
! [SV97: $i,SV84: $i] :
( ( ~ ( inner_point @ SV84 @ SV97 )
| ( incident_c @ SV84 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(471,plain,
! [SV98: $i,SV85: $i] :
( ( ~ ( inner_point @ SV85 @ SV98 )
| ~ ( end_point @ SV85 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(472,plain,
! [SV64: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ( ( SV51
!= ( sK14_Q @ SV64 @ SV51 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV64 @ SV51 ) @ SV64 ) )
| ~ ~ ( ordered_by @ SV64 @ SV51 @ ( sK14_Q @ SV64 @ SV51 ) ) )
= $false )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(473,plain,
! [SV99: $i,SV86: $i] :
( ( ~ ( start_point @ SV86 @ SV99 )
| ! [SY285: $i] :
( ( SV86 = SY285 )
| ~ ( incident_o @ SY285 @ SV99 )
| ( ordered_by @ SV99 @ SV86 @ SY285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(474,plain,
! [SV100: $i,SV87: $i] :
( ( ~ ( start_point @ SV87 @ SV100 )
| ( incident_o @ SV87 @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(475,plain,
! [SV19: $i,SV32: $i] :
( ( ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
= $false )
| ( ( ~ ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 ) )
= $true )
| ( ( SV19 = SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(476,plain,
! [SV37: $i,SV33: $i,SV2: $i,SV21: $i] :
( ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( ~ ( part_of @ SV33 @ SV2 ) )
= $true )
| ( ( ~ ( part_of @ SV37 @ SV2 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( end_point @ SY228 @ SV21 )
| ~ ( end_point @ SY228 @ SV33 )
| ~ ( end_point @ SY228 @ SV37 ) ) )
= $true )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(477,plain,
! [SV38: $i,SV22: $i,SV4: $i,SV34: $i] :
( ( ( end_point @ SV34 @ SV4 )
= $false )
| ( ( end_point @ SV22 @ SV4 )
= $false )
| ( ( ~ ( end_point @ SV38 @ SV4 ) )
= $true )
| ( ( ( SV34 = SV38 )
| ( SV22 = SV34 )
| ( SV22 = SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(478,plain,
! [SV5: $i,SV35: $i,SV23: $i,SV88: $i] :
( ( ( meet @ SV88 @ SV23 @ SV35 )
= $false )
| ( ( closed @ SV5 )
= $false )
| ( ( ( SV5
!= ( sum @ SV23 @ SV35 ) ) )
= $true )
| ( ( ! [SY225: $i] :
( ~ ( end_point @ SY225 @ SV23 )
| ( meet @ SY225 @ SV23 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(479,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
| ~ ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) )
| ~ ( ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
| ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) ) )
| ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(480,plain,
! [SV66: $i,SV25: $i,SV8: $i,SV74: $i] :
( ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY264: $i] :
( ~ ( incident_c @ SY264 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SY264 @ SV74 ) )
| ~ ! [SY265: $i] :
( ~ ( incident_o @ SY265 @ SV74 )
| ( incident_c @ SY265 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SV66 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(481,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) )
| ~ ( incident_c @ SV40 @ ( sK26_SY108 @ SV52 @ SV40 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(482,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(483,plain,
! [SV89: $i,SV75: $i] :
( ( ( ~ ( end_point @ SV75 @ SV89 ) )
= $true )
| ( ( ! [SY279: $i,SY280: $i] :
( ~ ( part_of @ SY279 @ SV89 )
| ~ ( part_of @ SY280 @ SV89 )
| ~ ( incident_c @ SV75 @ SY279 )
| ~ ( incident_c @ SV75 @ SY280 )
| ( part_of @ SY279 @ SY280 )
| ( part_of @ SY280 @ SY279 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(484,plain,
! [SV90: $i,SV76: $i] :
( ( ( ~ ( end_point @ SV76 @ SV90 ) )
= $true )
| ( ( incident_c @ SV76 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(485,plain,
! [SV41: $i,SV53: $i] :
( ( ( ~ ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
| ~ ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) )
= $true )
| ( ( SV41
= ( underlying_curve @ SV53 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(486,plain,
! [SV41: $i,SV53: $i] :
( ( ( ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
| ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) )
= $true )
| ( ( SV41
= ( underlying_curve @ SV53 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(487,plain,
! [SV54: $i,SV42: $i] :
( ( ( ~ ! [SY242: $i] :
( ~ ( incident_c @ SY242 @ SV42 )
| ( incident_o @ SY242 @ SV54 ) ) )
= $false )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(488,plain,
! [SV42: $i,SV54: $i] :
( ( ( ~ ! [SY243: $i] :
( ~ ( incident_o @ SY243 @ SV54 )
| ( incident_c @ SY243 @ SV42 ) ) )
= $false )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(489,plain,
! [SV43: $i,SV55: $i] :
( ( ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV55 )
= $true )
| ( ( part_of @ SV55 @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(490,plain,
! [SV43: $i,SV55: $i] :
( ( ( ~ ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV43 ) )
= $true )
| ( ( part_of @ SV55 @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(491,plain,
! [SV44: $i,SV56: $i,SV91: $i] :
( ( ( ~ ( incident_c @ SV91 @ SV56 ) )
= $true )
| ( ( incident_c @ SV91 @ SV44 )
= $true )
| ( ( part_of @ SV56 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(492,plain,
! [SV9: $i,SV92: $i] :
( ( ( ~ ( incident_c @ SV92 @ ( sK12_C @ SV9 ) ) )
= $true )
| ( ( incident_o @ SV92 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(493,plain,
! [SV9: $i,SV93: $i] :
( ( ( ~ ( incident_o @ SV93 @ SV9 ) )
= $true )
| ( ( incident_c @ SV93 @ ( sK12_C @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(494,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(495,plain,
! [SV102: $i,SV94: $i,SV10: $i] :
( ( ~ ( meet @ SV10 @ SV94 @ SV102 )
| ~ ( ~ ! [SY286: $i] :
( ~ ( incident_c @ SY286 @ SV94 )
| ~ ( incident_c @ SY286 @ SV102 )
| ( end_point @ SY286 @ SV94 ) )
| ~ ! [SY287: $i] :
( ~ ( incident_c @ SY287 @ SV94 )
| ~ ( incident_c @ SY287 @ SV102 )
| ( end_point @ SY287 @ SV102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(496,plain,
! [SV10: $i] :
( ( ~ ! [SY139: $i] :
( ! [SY140: $i] :
~ ( meet @ SV10 @ SY139 @ SY140 )
| ( incident_c @ SV10 @ SY139 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(497,plain,
! [SV10: $i] :
( ( ~ ! [SY141: $i,SY142: $i] :
( ~ ( meet @ SV10 @ SY141 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(498,plain,
! [SV58: $i,SV47: $i] :
( ( ( ~ ~ ( ~ ( ( SV47
!= ( sK13_Q @ SV58 @ SV47 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV58 @ SV47 ) @ SV58 ) ) )
= $false )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(499,plain,
! [SV47: $i,SV58: $i] :
( ( ( ~ ~ ( ordered_by @ SV58 @ ( sK13_Q @ SV58 @ SV47 ) @ SV47 ) )
= $false )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(500,plain,
! [SV95: $i,SV79: $i] :
( ( ( ~ ( finish_point @ SV79 @ SV95 ) )
= $true )
| ( ( ! [SY284: $i] :
( ( SV79 = SY284 )
| ~ ( incident_o @ SY284 @ SV95 )
| ( ordered_by @ SV95 @ SY284 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(501,plain,
! [SV96: $i,SV80: $i] :
( ( ( ~ ( finish_point @ SV80 @ SV96 ) )
= $true )
| ( ( incident_o @ SV80 @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(502,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY199 @ SY200 )
| ( ordered_by @ SV12 @ SV26 @ SY199 )
| ( ordered_by @ SV12 @ SY200 @ SY199 ) )
| ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( between_o @ SV12 @ SV26 @ SY201 @ SY202 )
| ( ordered_by @ SV12 @ SV26 @ SY201 )
| ( ordered_by @ SV12 @ SY201 @ SV26 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(503,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ! [SY203: $i,SY204: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY204 @ SY203 ) )
| ~ ! [SY205: $i,SY206: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SV26 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(504,plain,
! [SV103: $i,SV26: $i,SV12: $i] :
( ( ! [SY288: $i] :
( ~ ( ordered_by @ SV12 @ SV26 @ SV103 )
| ~ ( ordered_by @ SV12 @ SV103 @ SY288 )
| ( between_o @ SV12 @ SV26 @ SV103 @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(505,plain,
! [SV26: $i,SV104: $i,SV12: $i] :
( ( ! [SY289: $i] :
( ~ ( ordered_by @ SV12 @ SY289 @ SV104 )
| ~ ( ordered_by @ SV12 @ SV104 @ SV26 )
| ( between_o @ SV12 @ SV26 @ SV104 @ SY289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(506,plain,
! [SV27: $i,SV36: $i,SV13: $i] :
( ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( ~ ( incident_c @ SV27 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(507,plain,
! [SV70: $i,SV15: $i,SV83: $i,SV29: $i] :
( ( ( SV29 = SV83 )
= $true )
| ( ( ! [SY273: $i] :
( ~ ( end_point @ SV29 @ SY273 )
| ~ ( part_of @ SY273 @ SV15 )
| ~ ( end_point @ SV83 @ SY273 )
| ~ ( inner_point @ SV70 @ SY273 ) ) )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV70 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(508,plain,
! [SV105: $i,SV29: $i,SV15: $i] :
( ( ! [SY290: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SV105 @ SY290 )
| ( SV29 != SY290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(509,plain,
! [SV106: $i,SV29: $i,SV15: $i] :
( ( ! [SY291: $i] :
( ~ ( between_c @ SV15 @ SV29 @ SV106 @ SY291 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SY291 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY291 @ SV106 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SY291 @ ( sK15_Cpp @ SY291 @ SV106 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SV106 @ ( sK15_Cpp @ SY291 @ SV106 @ SV29 @ SV15 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(510,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) ) )
= $false )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(511,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) )
= $false )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(512,plain,
! [SV72: $i,SV62: $i,SV16: $i] :
( ( ( ~ ! [SY260: $i] :
( ~ ( incident_c @ SY260 @ SV16 )
| ( incident_c @ SY260 @ SV62 )
| ( incident_c @ SY260 @ SV72 ) )
| ~ ~ ( ~ ! [SY251: $i] :
( ~ ( incident_c @ SY251 @ SV62 )
| ( incident_c @ SY251 @ SV16 ) )
| ~ ! [SY262: $i] :
( ~ ( incident_c @ SY262 @ SV72 )
| ( incident_c @ SY262 @ SV16 ) ) ) )
= $false )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(513,plain,
! [SV17: $i,SV30: $i] :
( ( ( ordered_by @ SV30 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
= $false )
| ( ( ordered_by @ SV17 @ ( sK6_P @ SV30 @ SV17 ) @ ( sK7_SY100 @ SV30 @ SV17 ) )
= $false )
| ( ( SV17 = SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(514,plain,
! [SV97: $i,SV84: $i] :
( ( ( ~ ( inner_point @ SV84 @ SV97 ) )
= $true )
| ( ( incident_c @ SV84 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(515,plain,
! [SV98: $i,SV85: $i] :
( ( ( ~ ( inner_point @ SV85 @ SV98 ) )
= $true )
| ( ( ~ ( end_point @ SV85 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(516,plain,
! [SV64: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ( ( SV51
!= ( sK14_Q @ SV64 @ SV51 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV64 @ SV51 ) @ SV64 ) ) )
= $false )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(517,plain,
! [SV51: $i,SV64: $i] :
( ( ( ~ ~ ( ordered_by @ SV64 @ SV51 @ ( sK14_Q @ SV64 @ SV51 ) ) )
= $false )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(518,plain,
! [SV99: $i,SV86: $i] :
( ( ( ~ ( start_point @ SV86 @ SV99 ) )
= $true )
| ( ( ! [SY285: $i] :
( ( SV86 = SY285 )
| ~ ( incident_o @ SY285 @ SV99 )
| ( ordered_by @ SV99 @ SV86 @ SY285 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(519,plain,
! [SV100: $i,SV87: $i] :
( ( ( ~ ( start_point @ SV87 @ SV100 ) )
= $true )
| ( ( incident_o @ SV87 @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(520,plain,
! [SV19: $i,SV32: $i] :
( ( ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV32 )
= $false )
| ( ( incident_c @ ( sK16_P @ SV32 @ SV19 ) @ SV19 )
= $false )
| ( ( SV19 = SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(521,plain,
! [SV37: $i,SV21: $i,SV2: $i,SV33: $i] :
( ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( ~ ( part_of @ SV37 @ SV2 ) )
= $true )
| ( ( ! [SY228: $i] :
( ~ ( end_point @ SY228 @ SV21 )
| ~ ( end_point @ SY228 @ SV33 )
| ~ ( end_point @ SY228 @ SV37 ) ) )
= $true )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(522,plain,
! [SV34: $i,SV22: $i,SV4: $i,SV38: $i] :
( ( ( end_point @ SV38 @ SV4 )
= $false )
| ( ( end_point @ SV22 @ SV4 )
= $false )
| ( ( end_point @ SV34 @ SV4 )
= $false )
| ( ( ( SV34 = SV38 )
| ( SV22 = SV34 )
| ( SV22 = SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(523,plain,
! [SV88: $i,SV35: $i,SV23: $i,SV5: $i] :
( ( ( SV5
= ( sum @ SV23 @ SV35 ) )
= $false )
| ( ( closed @ SV5 )
= $false )
| ( ( meet @ SV88 @ SV23 @ SV35 )
= $false )
| ( ( ! [SY225: $i] :
( ~ ( end_point @ SY225 @ SV23 )
| ( meet @ SY225 @ SV23 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(524,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
| ~ ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) )
| ~ ( ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
| ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) ) ) )
= $true )
| ( ( ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(525,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i] :
( ( ( ~ ~ ( ~ ! [SY264: $i] :
( ~ ( incident_c @ SY264 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SY264 @ SV74 ) )
| ~ ! [SY265: $i] :
( ~ ( incident_o @ SY265 @ SV74 )
| ( incident_c @ SY265 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SV66 ) )
= $false )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(526,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) )
| ~ ( incident_c @ SV40 @ ( sK26_SY108 @ SV52 @ SV40 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(527,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(528,plain,
! [SV89: $i,SV75: $i] :
( ( ( end_point @ SV75 @ SV89 )
= $false )
| ( ( ! [SY279: $i,SY280: $i] :
( ~ ( part_of @ SY279 @ SV89 )
| ~ ( part_of @ SY280 @ SV89 )
| ~ ( incident_c @ SV75 @ SY279 )
| ~ ( incident_c @ SV75 @ SY280 )
| ( part_of @ SY279 @ SY280 )
| ( part_of @ SY280 @ SY279 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(529,plain,
! [SV90: $i,SV76: $i] :
( ( ( end_point @ SV76 @ SV90 )
= $false )
| ( ( incident_c @ SV76 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(530,plain,
! [SV41: $i,SV53: $i] :
( ( ( ~ ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 ) )
= $true )
| ( ( ~ ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) )
= $true )
| ( ( SV41
= ( underlying_curve @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(531,plain,
! [SV41: $i,SV53: $i] :
( ( ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
= $true )
| ( ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 )
= $true )
| ( ( SV41
= ( underlying_curve @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(532,plain,
! [SV54: $i,SV42: $i] :
( ( ( ! [SY242: $i] :
( ~ ( incident_c @ SY242 @ SV42 )
| ( incident_o @ SY242 @ SV54 ) ) )
= $true )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(533,plain,
! [SV42: $i,SV54: $i] :
( ( ( ! [SY243: $i] :
( ~ ( incident_o @ SY243 @ SV54 )
| ( incident_c @ SY243 @ SV42 ) ) )
= $true )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(534,plain,
! [SV43: $i,SV55: $i] :
( ( ( incident_c @ ( sK28_P @ SV55 @ SV43 ) @ SV43 )
= $false )
| ( ( part_of @ SV55 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(535,plain,
! [SV44: $i,SV56: $i,SV91: $i] :
( ( ( incident_c @ SV91 @ SV56 )
= $false )
| ( ( incident_c @ SV91 @ SV44 )
= $true )
| ( ( part_of @ SV56 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(536,plain,
! [SV9: $i,SV92: $i] :
( ( ( incident_c @ SV92 @ ( sK12_C @ SV9 ) )
= $false )
| ( ( incident_o @ SV92 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(537,plain,
! [SV9: $i,SV93: $i] :
( ( ( incident_o @ SV93 @ SV9 )
= $false )
| ( ( incident_c @ SV93 @ ( sK12_C @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(538,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(539,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ( ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(540,plain,
! [SV102: $i,SV94: $i,SV10: $i] :
( ( ( ~ ( meet @ SV10 @ SV94 @ SV102 ) )
= $true )
| ( ( ~ ( ~ ! [SY286: $i] :
( ~ ( incident_c @ SY286 @ SV94 )
| ~ ( incident_c @ SY286 @ SV102 )
| ( end_point @ SY286 @ SV94 ) )
| ~ ! [SY287: $i] :
( ~ ( incident_c @ SY287 @ SV94 )
| ~ ( incident_c @ SY287 @ SV102 )
| ( end_point @ SY287 @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(541,plain,
! [SV10: $i] :
( ( ! [SY139: $i] :
( ! [SY140: $i] :
~ ( meet @ SV10 @ SY139 @ SY140 )
| ( incident_c @ SV10 @ SY139 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(542,plain,
! [SV10: $i] :
( ( ! [SY141: $i,SY142: $i] :
( ~ ( meet @ SV10 @ SY141 @ SY142 )
| ( incident_c @ SV10 @ SY142 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(543,plain,
! [SV58: $i,SV47: $i] :
( ( ( ~ ( ~ ( ( SV47
!= ( sK13_Q @ SV58 @ SV47 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV58 @ SV47 ) @ SV58 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(544,plain,
! [SV47: $i,SV58: $i] :
( ( ( ~ ( ordered_by @ SV58 @ ( sK13_Q @ SV58 @ SV47 ) @ SV47 ) )
= $true )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(545,plain,
! [SV95: $i,SV79: $i] :
( ( ( finish_point @ SV79 @ SV95 )
= $false )
| ( ( ! [SY284: $i] :
( ( SV79 = SY284 )
| ~ ( incident_o @ SY284 @ SV95 )
| ( ordered_by @ SV95 @ SY284 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(546,plain,
! [SV96: $i,SV80: $i] :
( ( ( finish_point @ SV80 @ SV96 )
= $false )
| ( ( incident_o @ SV80 @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(547,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ! [SY199: $i,SY200: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY199 @ SY200 )
| ( ordered_by @ SV12 @ SV26 @ SY199 )
| ( ordered_by @ SV12 @ SY200 @ SY199 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(548,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ! [SY201: $i] :
( ! [SY202: $i] :
~ ( between_o @ SV12 @ SV26 @ SY201 @ SY202 )
| ( ordered_by @ SV12 @ SV26 @ SY201 )
| ( ordered_by @ SV12 @ SY201 @ SV26 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(549,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ! [SY203: $i,SY204: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY204 @ SY203 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(550,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ! [SY205: $i,SY206: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SV26 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(551,plain,
! [SV107: $i,SV103: $i,SV26: $i,SV12: $i] :
( ( ~ ( ordered_by @ SV12 @ SV26 @ SV103 )
| ~ ( ordered_by @ SV12 @ SV103 @ SV107 )
| ( between_o @ SV12 @ SV26 @ SV103 @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(552,plain,
! [SV26: $i,SV104: $i,SV108: $i,SV12: $i] :
( ( ~ ( ordered_by @ SV12 @ SV108 @ SV104 )
| ~ ( ordered_by @ SV12 @ SV104 @ SV26 )
| ( between_o @ SV12 @ SV26 @ SV104 @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(553,plain,
! [SV13: $i,SV36: $i,SV27: $i] :
( ( ( incident_c @ SV27 @ SV36 )
= $false )
| ( ( open @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(554,plain,
! [SV70: $i,SV83: $i,SV15: $i,SV109: $i,SV29: $i] :
( ( ( ~ ( end_point @ SV29 @ SV109 )
| ~ ( part_of @ SV109 @ SV15 )
| ~ ( end_point @ SV83 @ SV109 )
| ~ ( inner_point @ SV70 @ SV109 ) )
= $true )
| ( ( SV29 = SV83 )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV70 @ SV83 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(555,plain,
! [SV110: $i,SV105: $i,SV29: $i,SV15: $i] :
( ( ~ ( between_c @ SV15 @ SV29 @ SV105 @ SV110 )
| ( SV29 != SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(556,plain,
! [SV111: $i,SV106: $i,SV29: $i,SV15: $i] :
( ( ~ ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SV111 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SV106 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(557,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) ) )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(558,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(559,plain,
! [SV72: $i,SV62: $i,SV16: $i] :
( ( ( ~ ! [SY260: $i] :
( ~ ( incident_c @ SY260 @ SV16 )
| ( incident_c @ SY260 @ SV62 )
| ( incident_c @ SY260 @ SV72 ) ) )
= $false )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(560,plain,
! [SV72: $i,SV16: $i,SV62: $i] :
( ( ( ~ ~ ( ~ ! [SY251: $i] :
( ~ ( incident_c @ SY251 @ SV62 )
| ( incident_c @ SY251 @ SV16 ) )
| ~ ! [SY262: $i] :
( ~ ( incident_c @ SY262 @ SV72 )
| ( incident_c @ SY262 @ SV16 ) ) ) )
= $false )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(561,plain,
! [SV97: $i,SV84: $i] :
( ( ( inner_point @ SV84 @ SV97 )
= $false )
| ( ( incident_c @ SV84 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(562,plain,
! [SV98: $i,SV85: $i] :
( ( ( inner_point @ SV85 @ SV98 )
= $false )
| ( ( ~ ( end_point @ SV85 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(563,plain,
! [SV64: $i,SV51: $i] :
( ( ( ~ ( ~ ( ( SV51
!= ( sK14_Q @ SV64 @ SV51 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV64 @ SV51 ) @ SV64 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(564,plain,
! [SV51: $i,SV64: $i] :
( ( ( ~ ( ordered_by @ SV64 @ SV51 @ ( sK14_Q @ SV64 @ SV51 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(565,plain,
! [SV99: $i,SV86: $i] :
( ( ( start_point @ SV86 @ SV99 )
= $false )
| ( ( ! [SY285: $i] :
( ( SV86 = SY285 )
| ~ ( incident_o @ SY285 @ SV99 )
| ( ordered_by @ SV99 @ SV86 @ SY285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(566,plain,
! [SV100: $i,SV87: $i] :
( ( ( start_point @ SV87 @ SV100 )
= $false )
| ( ( incident_o @ SV87 @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(567,plain,
! [SV33: $i,SV21: $i,SV2: $i,SV37: $i] :
( ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( ! [SY228: $i] :
( ~ ( end_point @ SY228 @ SV21 )
| ~ ( end_point @ SY228 @ SV33 )
| ~ ( end_point @ SY228 @ SV37 ) ) )
= $true )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(568,plain,
! [SV4: $i,SV22: $i,SV38: $i,SV34: $i] :
( ( ( SV34 = SV38 )
= $true )
| ( ( ( SV22 = SV34 )
| ( SV22 = SV38 ) )
= $true )
| ( ( end_point @ SV34 @ SV4 )
= $false )
| ( ( end_point @ SV22 @ SV4 )
= $false )
| ( ( end_point @ SV38 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(569,plain,
! [SV5: $i,SV88: $i,SV35: $i,SV23: $i,SV112: $i] :
( ( ( ~ ( end_point @ SV112 @ SV23 )
| ( meet @ SV112 @ SV23 @ SV35 ) )
= $true )
| ( ( meet @ SV88 @ SV23 @ SV35 )
= $false )
| ( ( closed @ SV5 )
= $false )
| ( ( SV5
= ( sum @ SV23 @ SV35 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(570,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
| ~ ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) )
| ~ ( ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
| ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) ) )
= $false )
| ( ( ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(571,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i] :
( ( ( ~ ~ ( ~ ! [SY264: $i] :
( ~ ( incident_c @ SY264 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SY264 @ SV74 ) )
| ~ ! [SY265: $i] :
( ~ ( incident_o @ SY265 @ SV74 )
| ( incident_c @ SY265 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) ) ) )
= $false )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(572,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i] :
( ( ( ~ ( between_c @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SV66 ) )
= $false )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(573,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) )
| ~ ( incident_c @ SV40 @ ( sK26_SY108 @ SV52 @ SV40 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(574,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(575,plain,
! [SV75: $i,SV89: $i,SV113: $i] :
( ( ( ! [SY292: $i] :
( ~ ( part_of @ SV113 @ SV89 )
| ~ ( part_of @ SY292 @ SV89 )
| ~ ( incident_c @ SV75 @ SV113 )
| ~ ( incident_c @ SV75 @ SY292 )
| ( part_of @ SV113 @ SY292 )
| ( part_of @ SY292 @ SV113 ) ) )
= $true )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(576,plain,
! [SV41: $i,SV53: $i] :
( ( ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
= $false )
| ( ( ~ ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 ) )
= $true )
| ( ( SV41
= ( underlying_curve @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(577,plain,
! [SV54: $i,SV42: $i,SV114: $i] :
( ( ( ~ ( incident_c @ SV114 @ SV42 )
| ( incident_o @ SV114 @ SV54 ) )
= $true )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(578,plain,
! [SV42: $i,SV54: $i,SV115: $i] :
( ( ( ~ ( incident_o @ SV115 @ SV54 )
| ( incident_c @ SV115 @ SV42 ) )
= $true )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(579,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(580,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(581,plain,
! [SV102: $i,SV94: $i,SV10: $i] :
( ( ( meet @ SV10 @ SV94 @ SV102 )
= $false )
| ( ( ~ ( ~ ! [SY286: $i] :
( ~ ( incident_c @ SY286 @ SV94 )
| ~ ( incident_c @ SY286 @ SV102 )
| ( end_point @ SY286 @ SV94 ) )
| ~ ! [SY287: $i] :
( ~ ( incident_c @ SY287 @ SV94 )
| ~ ( incident_c @ SY287 @ SV102 )
| ( end_point @ SY287 @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(582,plain,
! [SV116: $i,SV10: $i] :
( ( ! [SY293: $i] :
~ ( meet @ SV10 @ SV116 @ SY293 )
| ( incident_c @ SV10 @ SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(583,plain,
! [SV117: $i,SV10: $i] :
( ( ! [SY294: $i] :
( ~ ( meet @ SV10 @ SV117 @ SY294 )
| ( incident_c @ SV10 @ SY294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(584,plain,
! [SV58: $i,SV47: $i] :
( ( ( ~ ( ( SV47
!= ( sK13_Q @ SV58 @ SV47 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV58 @ SV47 ) @ SV58 ) )
= $false )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(585,plain,
! [SV47: $i,SV58: $i] :
( ( ( ordered_by @ SV58 @ ( sK13_Q @ SV58 @ SV47 ) @ SV47 )
= $false )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(586,plain,
! [SV95: $i,SV118: $i,SV79: $i] :
( ( ( ( SV79 = SV118 )
| ~ ( incident_o @ SV118 @ SV95 )
| ( ordered_by @ SV95 @ SV118 @ SV79 ) )
= $true )
| ( ( finish_point @ SV79 @ SV95 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(587,plain,
! [SV26: $i,SV12: $i] :
( ( ! [SY199: $i,SY200: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY199 @ SY200 )
| ( ordered_by @ SV12 @ SV26 @ SY199 )
| ( ordered_by @ SV12 @ SY200 @ SY199 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(588,plain,
! [SV26: $i,SV12: $i] :
( ( ! [SY201: $i] :
( ! [SY202: $i] :
~ ( between_o @ SV12 @ SV26 @ SY201 @ SY202 )
| ( ordered_by @ SV12 @ SV26 @ SY201 )
| ( ordered_by @ SV12 @ SY201 @ SV26 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(589,plain,
! [SV26: $i,SV12: $i] :
( ( ! [SY203: $i,SY204: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY203 @ SY204 )
| ( ordered_by @ SV12 @ SY204 @ SY203 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(590,plain,
! [SV26: $i,SV12: $i] :
( ( ! [SY205: $i,SY206: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SY206 )
| ( ordered_by @ SV12 @ SY205 @ SV26 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(591,plain,
! [SV107: $i,SV103: $i,SV26: $i,SV12: $i] :
( ( ( ~ ( ordered_by @ SV12 @ SV26 @ SV103 )
| ~ ( ordered_by @ SV12 @ SV103 @ SV107 ) )
= $true )
| ( ( between_o @ SV12 @ SV26 @ SV103 @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(592,plain,
! [SV26: $i,SV104: $i,SV108: $i,SV12: $i] :
( ( ( ~ ( ordered_by @ SV12 @ SV108 @ SV104 )
| ~ ( ordered_by @ SV12 @ SV104 @ SV26 ) )
= $true )
| ( ( between_o @ SV12 @ SV26 @ SV104 @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(593,plain,
! [SV13: $i,SV27: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 ) )
= $false )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(594,plain,
! [SV70: $i,SV83: $i,SV15: $i,SV109: $i,SV29: $i] :
( ( ( ~ ( end_point @ SV29 @ SV109 )
| ~ ( part_of @ SV109 @ SV15 )
| ~ ( end_point @ SV83 @ SV109 ) )
= $true )
| ( ( ~ ( inner_point @ SV70 @ SV109 ) )
= $true )
| ( ( SV29 = SV83 )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV70 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(595,plain,
! [SV110: $i,SV105: $i,SV29: $i,SV15: $i] :
( ( ( ~ ( between_c @ SV15 @ SV29 @ SV105 @ SV110 ) )
= $true )
| ( ( ( SV29 != SV110 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(596,plain,
! [SV111: $i,SV106: $i,SV29: $i,SV15: $i] :
( ( ( ~ ( between_c @ SV15 @ SV29 @ SV106 @ SV111 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SV111 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SV106 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(597,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) )
= $false )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(598,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
= $true )
| ( ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 )
| ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(599,plain,
! [SV72: $i,SV62: $i,SV16: $i] :
( ( ( ! [SY260: $i] :
( ~ ( incident_c @ SY260 @ SV16 )
| ( incident_c @ SY260 @ SV62 )
| ( incident_c @ SY260 @ SV72 ) ) )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(600,plain,
! [SV72: $i,SV16: $i,SV62: $i] :
( ( ( ~ ( ~ ! [SY251: $i] :
( ~ ( incident_c @ SY251 @ SV62 )
| ( incident_c @ SY251 @ SV16 ) )
| ~ ! [SY262: $i] :
( ~ ( incident_c @ SY262 @ SV72 )
| ( incident_c @ SY262 @ SV16 ) ) ) )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(601,plain,
! [SV98: $i,SV85: $i] :
( ( ( end_point @ SV85 @ SV98 )
= $false )
| ( ( inner_point @ SV85 @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(602,plain,
! [SV64: $i,SV51: $i] :
( ( ( ~ ( ( SV51
!= ( sK14_Q @ SV64 @ SV51 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV64 @ SV51 ) @ SV64 ) )
= $false )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(603,plain,
! [SV51: $i,SV64: $i] :
( ( ( ordered_by @ SV64 @ SV51 @ ( sK14_Q @ SV64 @ SV51 ) )
= $false )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(604,plain,
! [SV99: $i,SV119: $i,SV86: $i] :
( ( ( ( SV86 = SV119 )
| ~ ( incident_o @ SV119 @ SV99 )
| ( ordered_by @ SV99 @ SV86 @ SV119 ) )
= $true )
| ( ( start_point @ SV86 @ SV99 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(605,plain,
! [SV2: $i,SV37: $i,SV33: $i,SV21: $i,SV120: $i] :
( ( ( ~ ( end_point @ SV120 @ SV21 )
| ~ ( end_point @ SV120 @ SV33 )
| ~ ( end_point @ SV120 @ SV37 ) )
= $true )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(606,plain,
! [SV4: $i,SV38: $i,SV34: $i,SV22: $i] :
( ( ( SV22 = SV34 )
= $true )
| ( ( SV22 = SV38 )
= $true )
| ( ( SV34 = SV38 )
= $true )
| ( ( end_point @ SV34 @ SV4 )
= $false )
| ( ( end_point @ SV22 @ SV4 )
= $false )
| ( ( end_point @ SV38 @ SV4 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(607,plain,
! [SV5: $i,SV88: $i,SV35: $i,SV23: $i,SV112: $i] :
( ( ( ~ ( end_point @ SV112 @ SV23 ) )
= $true )
| ( ( meet @ SV112 @ SV23 @ SV35 )
= $true )
| ( ( meet @ SV88 @ SV23 @ SV35 )
= $false )
| ( ( closed @ SV5 )
= $false )
| ( ( SV5
= ( sum @ SV23 @ SV35 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(608,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
| ~ ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) ) )
= $false )
| ( ( ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(609,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( ~ ( ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
| ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) ) )
= $false )
| ( ( ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(610,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i] :
( ( ( ~ ( ~ ! [SY264: $i] :
( ~ ( incident_c @ SY264 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SY264 @ SV74 ) )
| ~ ! [SY265: $i] :
( ~ ( incident_o @ SY265 @ SV74 )
| ( incident_c @ SY265 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) ) ) )
= $true )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(611,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i] :
( ( ( between_c @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) @ SV8 @ SV25 @ SV66 )
= $true )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(612,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(613,plain,
! [SV52: $i,SV40: $i] :
( ( ( ~ ( incident_c @ SV40 @ ( sK26_SY108 @ SV52 @ SV40 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[573]) ).
thf(614,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(615,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(616,plain,
! [SV75: $i,SV121: $i,SV89: $i,SV113: $i] :
( ( ( ~ ( part_of @ SV113 @ SV89 )
| ~ ( part_of @ SV121 @ SV89 )
| ~ ( incident_c @ SV75 @ SV113 )
| ~ ( incident_c @ SV75 @ SV121 )
| ( part_of @ SV113 @ SV121 )
| ( part_of @ SV121 @ SV113 ) )
= $true )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(617,plain,
! [SV41: $i,SV53: $i] :
( ( ( incident_o @ ( sK5_P @ SV53 @ SV41 ) @ SV53 )
= $false )
| ( ( incident_c @ ( sK5_P @ SV53 @ SV41 ) @ SV41 )
= $false )
| ( ( SV41
= ( underlying_curve @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(618,plain,
! [SV54: $i,SV42: $i,SV114: $i] :
( ( ( ~ ( incident_c @ SV114 @ SV42 ) )
= $true )
| ( ( incident_o @ SV114 @ SV54 )
= $true )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(619,plain,
! [SV42: $i,SV54: $i,SV115: $i] :
( ( ( ~ ( incident_o @ SV115 @ SV54 ) )
= $true )
| ( ( incident_c @ SV115 @ SV42 )
= $true )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(620,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
| ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(621,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 ) )
= $true )
| ( ( ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(622,plain,
! [SV10: $i,SV102: $i,SV94: $i] :
( ( ( ~ ! [SY286: $i] :
( ~ ( incident_c @ SY286 @ SV94 )
| ~ ( incident_c @ SY286 @ SV102 )
| ( end_point @ SY286 @ SV94 ) )
| ~ ! [SY287: $i] :
( ~ ( incident_c @ SY287 @ SV94 )
| ~ ( incident_c @ SY287 @ SV102 )
| ( end_point @ SY287 @ SV102 ) ) )
= $false )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(623,plain,
! [SV116: $i,SV10: $i] :
( ( ( ! [SY293: $i] :
~ ( meet @ SV10 @ SV116 @ SY293 ) )
= $true )
| ( ( incident_c @ SV10 @ SV116 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(624,plain,
! [SV122: $i,SV117: $i,SV10: $i] :
( ( ~ ( meet @ SV10 @ SV117 @ SV122 )
| ( incident_c @ SV10 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(625,plain,
! [SV58: $i,SV47: $i] :
( ( ( ~ ( ( SV47
!= ( sK13_Q @ SV58 @ SV47 ) ) ) )
= $false )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(626,plain,
! [SV47: $i,SV58: $i] :
( ( ( ~ ( incident_o @ ( sK13_Q @ SV58 @ SV47 ) @ SV58 ) )
= $false )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[584]) ).
thf(627,plain,
! [SV58: $i,SV47: $i] :
( ( ( incident_o @ SV47 @ SV58 )
= $false )
| ( ( ordered_by @ SV58 @ ( sK13_Q @ SV58 @ SV47 ) @ SV47 )
= $false )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(628,plain,
! [SV95: $i,SV118: $i,SV79: $i] :
( ( ( ( SV79 = SV118 )
| ~ ( incident_o @ SV118 @ SV95 ) )
= $true )
| ( ( ordered_by @ SV95 @ SV118 @ SV79 )
= $true )
| ( ( finish_point @ SV79 @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(629,plain,
! [SV123: $i,SV26: $i,SV12: $i] :
( ( ! [SY295: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SV123 @ SY295 )
| ( ordered_by @ SV12 @ SV26 @ SV123 )
| ( ordered_by @ SV12 @ SY295 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(630,plain,
! [SV124: $i,SV26: $i,SV12: $i] :
( ( ! [SY296: $i] :
~ ( between_o @ SV12 @ SV26 @ SV124 @ SY296 )
| ( ordered_by @ SV12 @ SV26 @ SV124 )
| ( ordered_by @ SV12 @ SV124 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(631,plain,
! [SV125: $i,SV26: $i,SV12: $i] :
( ( ! [SY297: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SV125 @ SY297 )
| ( ordered_by @ SV12 @ SV125 @ SY297 )
| ( ordered_by @ SV12 @ SY297 @ SV125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(632,plain,
! [SV126: $i,SV26: $i,SV12: $i] :
( ( ! [SY298: $i] :
( ~ ( between_o @ SV12 @ SV26 @ SV126 @ SY298 )
| ( ordered_by @ SV12 @ SV126 @ SY298 )
| ( ordered_by @ SV12 @ SV126 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(633,plain,
! [SV107: $i,SV103: $i,SV26: $i,SV12: $i] :
( ( ( ~ ( ordered_by @ SV12 @ SV26 @ SV103 ) )
= $true )
| ( ( ~ ( ordered_by @ SV12 @ SV103 @ SV107 ) )
= $true )
| ( ( between_o @ SV12 @ SV26 @ SV103 @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(634,plain,
! [SV26: $i,SV104: $i,SV108: $i,SV12: $i] :
( ( ( ~ ( ordered_by @ SV12 @ SV108 @ SV104 ) )
= $true )
| ( ( ~ ( ordered_by @ SV12 @ SV104 @ SV26 ) )
= $true )
| ( ( between_o @ SV12 @ SV26 @ SV104 @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(635,plain,
! [SV13: $i,SV27: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) ) )
= $false )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(636,plain,
! [SV13: $i,SV27: $i,SV36: $i] :
( ( ( ~ ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 ) )
= $false )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[593]) ).
thf(637,plain,
! [SV70: $i,SV83: $i,SV15: $i,SV109: $i,SV29: $i] :
( ( ( ~ ( end_point @ SV29 @ SV109 )
| ~ ( part_of @ SV109 @ SV15 ) )
= $true )
| ( ( ~ ( end_point @ SV83 @ SV109 ) )
= $true )
| ( ( ~ ( inner_point @ SV70 @ SV109 ) )
= $true )
| ( ( SV29 = SV83 )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV70 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(638,plain,
! [SV110: $i,SV105: $i,SV29: $i,SV15: $i] :
( ( ( between_c @ SV15 @ SV29 @ SV105 @ SV110 )
= $false )
| ( ( ( SV29 != SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(639,plain,
! [SV111: $i,SV106: $i,SV29: $i,SV15: $i] :
( ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SV111 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SV106 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(640,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 ) ) )
= $false )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(641,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) ) )
= $false )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[597]) ).
thf(642,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 )
= $true )
| ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 )
= $true )
| ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(643,plain,
! [SV72: $i,SV62: $i,SV16: $i,SV127: $i] :
( ( ( ~ ( incident_c @ SV127 @ SV16 )
| ( incident_c @ SV127 @ SV62 )
| ( incident_c @ SV127 @ SV72 ) )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(644,plain,
! [SV72: $i,SV16: $i,SV62: $i] :
( ( ( ~ ! [SY251: $i] :
( ~ ( incident_c @ SY251 @ SV62 )
| ( incident_c @ SY251 @ SV16 ) )
| ~ ! [SY262: $i] :
( ~ ( incident_c @ SY262 @ SV72 )
| ( incident_c @ SY262 @ SV16 ) ) )
= $false )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(645,plain,
! [SV64: $i,SV51: $i] :
( ( ( ~ ( ( SV51
!= ( sK14_Q @ SV64 @ SV51 ) ) ) )
= $false )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(646,plain,
! [SV51: $i,SV64: $i] :
( ( ( ~ ( incident_o @ ( sK14_Q @ SV64 @ SV51 ) @ SV64 ) )
= $false )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(647,plain,
! [SV64: $i,SV51: $i] :
( ( ( incident_o @ SV51 @ SV64 )
= $false )
| ( ( ordered_by @ SV64 @ SV51 @ ( sK14_Q @ SV64 @ SV51 ) )
= $false )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(648,plain,
! [SV99: $i,SV119: $i,SV86: $i] :
( ( ( ( SV86 = SV119 )
| ~ ( incident_o @ SV119 @ SV99 ) )
= $true )
| ( ( ordered_by @ SV99 @ SV86 @ SV119 )
= $true )
| ( ( start_point @ SV86 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(649,plain,
! [SV2: $i,SV37: $i,SV33: $i,SV21: $i,SV120: $i] :
( ( ( ~ ( end_point @ SV120 @ SV21 )
| ~ ( end_point @ SV120 @ SV33 ) )
= $true )
| ( ( ~ ( end_point @ SV120 @ SV37 ) )
= $true )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(650,plain,
! [SV5: $i,SV88: $i,SV35: $i,SV23: $i,SV112: $i] :
( ( ( end_point @ SV112 @ SV23 )
= $false )
| ( ( meet @ SV112 @ SV23 @ SV35 )
= $true )
| ( ( meet @ SV88 @ SV23 @ SV35 )
= $false )
| ( ( closed @ SV5 )
= $false )
| ( ( SV5
= ( sum @ SV23 @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(651,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( ~ ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
| ~ ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) )
= $true )
| ( ( ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(652,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
| ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) )
= $true )
| ( ( ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[609]) ).
thf(653,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i] :
( ( ( ~ ! [SY264: $i] :
( ~ ( incident_c @ SY264 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SY264 @ SV74 ) )
| ~ ! [SY265: $i] :
( ~ ( incident_o @ SY265 @ SV74 )
| ( incident_c @ SY265 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) ) )
= $false )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(654,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(655,plain,
! [SV52: $i,SV40: $i] :
( ( ( incident_c @ SV40 @ ( sK26_SY108 @ SV52 @ SV40 ) )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(656,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(657,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(658,plain,
! [SV75: $i,SV121: $i,SV89: $i,SV113: $i] :
( ( ( ~ ( part_of @ SV113 @ SV89 )
| ~ ( part_of @ SV121 @ SV89 )
| ~ ( incident_c @ SV75 @ SV113 )
| ~ ( incident_c @ SV75 @ SV121 ) )
= $true )
| ( ( ( part_of @ SV113 @ SV121 )
| ( part_of @ SV121 @ SV113 ) )
= $true )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(659,plain,
! [SV54: $i,SV42: $i,SV114: $i] :
( ( ( incident_c @ SV114 @ SV42 )
= $false )
| ( ( incident_o @ SV114 @ SV54 )
= $true )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(660,plain,
! [SV42: $i,SV54: $i,SV115: $i] :
( ( ( incident_o @ SV115 @ SV54 )
= $false )
| ( ( incident_c @ SV115 @ SV42 )
= $true )
| ( ( SV42
= ( underlying_curve @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(661,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(662,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( ~ ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(663,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
= $false )
| ( ( ~ ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(664,plain,
! [SV10: $i,SV102: $i,SV94: $i] :
( ( ( ~ ! [SY286: $i] :
( ~ ( incident_c @ SY286 @ SV94 )
| ~ ( incident_c @ SY286 @ SV102 )
| ( end_point @ SY286 @ SV94 ) ) )
= $false )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(665,plain,
! [SV10: $i,SV102: $i,SV94: $i] :
( ( ( ~ ! [SY287: $i] :
( ~ ( incident_c @ SY287 @ SV94 )
| ~ ( incident_c @ SY287 @ SV102 )
| ( end_point @ SY287 @ SV102 ) ) )
= $false )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(666,plain,
! [SV128: $i,SV116: $i,SV10: $i] :
( ( ( ~ ( meet @ SV10 @ SV116 @ SV128 ) )
= $true )
| ( ( incident_c @ SV10 @ SV116 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(667,plain,
! [SV122: $i,SV117: $i,SV10: $i] :
( ( ( ~ ( meet @ SV10 @ SV117 @ SV122 ) )
= $true )
| ( ( incident_c @ SV10 @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(668,plain,
! [SV58: $i,SV47: $i] :
( ( ( ( SV47
!= ( sK13_Q @ SV58 @ SV47 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(669,plain,
! [SV47: $i,SV58: $i] :
( ( ( incident_o @ ( sK13_Q @ SV58 @ SV47 ) @ SV58 )
= $true )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(670,plain,
! [SV95: $i,SV118: $i,SV79: $i] :
( ( ( SV79 = SV118 )
= $true )
| ( ( ~ ( incident_o @ SV118 @ SV95 ) )
= $true )
| ( ( ordered_by @ SV95 @ SV118 @ SV79 )
= $true )
| ( ( finish_point @ SV79 @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(671,plain,
! [SV129: $i,SV123: $i,SV26: $i,SV12: $i] :
( ( ~ ( between_o @ SV12 @ SV26 @ SV123 @ SV129 )
| ( ordered_by @ SV12 @ SV26 @ SV123 )
| ( ordered_by @ SV12 @ SV129 @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(672,plain,
! [SV124: $i,SV26: $i,SV12: $i] :
( ( ( ! [SY296: $i] :
~ ( between_o @ SV12 @ SV26 @ SV124 @ SY296 ) )
= $true )
| ( ( ( ordered_by @ SV12 @ SV26 @ SV124 )
| ( ordered_by @ SV12 @ SV124 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(673,plain,
! [SV130: $i,SV125: $i,SV26: $i,SV12: $i] :
( ( ~ ( between_o @ SV12 @ SV26 @ SV125 @ SV130 )
| ( ordered_by @ SV12 @ SV125 @ SV130 )
| ( ordered_by @ SV12 @ SV130 @ SV125 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(674,plain,
! [SV131: $i,SV126: $i,SV26: $i,SV12: $i] :
( ( ~ ( between_o @ SV12 @ SV26 @ SV126 @ SV131 )
| ( ordered_by @ SV12 @ SV126 @ SV131 )
| ( ordered_by @ SV12 @ SV126 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(675,plain,
! [SV107: $i,SV103: $i,SV26: $i,SV12: $i] :
( ( ( ordered_by @ SV12 @ SV26 @ SV103 )
= $false )
| ( ( ~ ( ordered_by @ SV12 @ SV103 @ SV107 ) )
= $true )
| ( ( between_o @ SV12 @ SV26 @ SV103 @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(676,plain,
! [SV26: $i,SV104: $i,SV108: $i,SV12: $i] :
( ( ( ordered_by @ SV12 @ SV108 @ SV104 )
= $false )
| ( ( ~ ( ordered_by @ SV12 @ SV104 @ SV26 ) )
= $true )
| ( ( between_o @ SV12 @ SV26 @ SV104 @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(677,plain,
! [SV13: $i,SV27: $i,SV36: $i] :
( ( ( ~ ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) ) )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(678,plain,
! [SV13: $i,SV27: $i,SV36: $i] :
( ( ( ordered_by @ ( sK8_O @ SV36 @ SV27 @ SV13 ) @ SV13 @ SV27 )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(679,plain,
! [SV70: $i,SV83: $i,SV15: $i,SV109: $i,SV29: $i] :
( ( ( ~ ( end_point @ SV29 @ SV109 ) )
= $true )
| ( ( ~ ( part_of @ SV109 @ SV15 ) )
= $true )
| ( ( ~ ( end_point @ SV83 @ SV109 ) )
= $true )
| ( ( ~ ( inner_point @ SV70 @ SV109 ) )
= $true )
| ( ( SV29 = SV83 )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV70 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(680,plain,
! [SV105: $i,SV15: $i,SV110: $i,SV29: $i] :
( ( ( SV29 = SV110 )
= $false )
| ( ( between_c @ SV15 @ SV29 @ SV105 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(681,plain,
! [SV15: $i,SV106: $i,SV111: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SV111 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) )
| ~ ( inner_point @ SV106 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) )
= $false )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(682,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 ) )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(683,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
| ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(684,plain,
! [SV72: $i,SV62: $i,SV16: $i,SV127: $i] :
( ( ( ~ ( incident_c @ SV127 @ SV16 ) )
= $true )
| ( ( ( incident_c @ SV127 @ SV62 )
| ( incident_c @ SV127 @ SV72 ) )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(685,plain,
! [SV72: $i,SV16: $i,SV62: $i] :
( ( ( ~ ! [SY251: $i] :
( ~ ( incident_c @ SY251 @ SV62 )
| ( incident_c @ SY251 @ SV16 ) ) )
= $false )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[644]) ).
thf(686,plain,
! [SV62: $i,SV16: $i,SV72: $i] :
( ( ( ~ ! [SY262: $i] :
( ~ ( incident_c @ SY262 @ SV72 )
| ( incident_c @ SY262 @ SV16 ) ) )
= $false )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[644]) ).
thf(687,plain,
! [SV64: $i,SV51: $i] :
( ( ( ( SV51
!= ( sK14_Q @ SV64 @ SV51 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(688,plain,
! [SV51: $i,SV64: $i] :
( ( ( incident_o @ ( sK14_Q @ SV64 @ SV51 ) @ SV64 )
= $true )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(689,plain,
! [SV99: $i,SV119: $i,SV86: $i] :
( ( ( SV86 = SV119 )
= $true )
| ( ( ~ ( incident_o @ SV119 @ SV99 ) )
= $true )
| ( ( ordered_by @ SV99 @ SV86 @ SV119 )
= $true )
| ( ( start_point @ SV86 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(690,plain,
! [SV2: $i,SV37: $i,SV33: $i,SV21: $i,SV120: $i] :
( ( ( ~ ( end_point @ SV120 @ SV21 ) )
= $true )
| ( ( ~ ( end_point @ SV120 @ SV33 ) )
= $true )
| ( ( ~ ( end_point @ SV120 @ SV37 ) )
= $true )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[649]) ).
thf(691,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( ~ ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 ) )
= $true )
| ( ( ~ ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) )
= $true )
| ( ( ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(692,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
= $true )
| ( ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 )
= $true )
| ( ( ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(693,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i] :
( ( ( ~ ! [SY264: $i] :
( ~ ( incident_c @ SY264 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SY264 @ SV74 ) ) )
= $false )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(694,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i] :
( ( ( ~ ! [SY265: $i] :
( ~ ( incident_o @ SY265 @ SV74 )
| ( incident_c @ SY265 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) ) )
= $false )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(695,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
| ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(696,plain,
! [SV52: $i,SV40: $i] :
( ( ( incident_c @ SV40 @ SV52 )
= $false )
| ( ( incident_c @ SV40 @ ( sK26_SY108 @ SV52 @ SV40 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(697,plain,
! [SV40: $i,SV52: $i] :
( ( ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(698,plain,
! [SV40: $i,SV52: $i] :
( ( ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(699,plain,
! [SV75: $i,SV121: $i,SV89: $i,SV113: $i] :
( ( ( ~ ( part_of @ SV113 @ SV89 )
| ~ ( part_of @ SV121 @ SV89 )
| ~ ( incident_c @ SV75 @ SV113 ) )
= $true )
| ( ( ~ ( incident_c @ SV75 @ SV121 ) )
= $true )
| ( ( ( part_of @ SV113 @ SV121 )
| ( part_of @ SV121 @ SV113 ) )
= $true )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(700,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(701,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(702,plain,
! [SV10: $i,SV57: $i,SV68: $i] :
( ( ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 )
= $false )
| ( ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV57 )
| ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(703,plain,
! [SV10: $i,SV102: $i,SV94: $i] :
( ( ( ! [SY286: $i] :
( ~ ( incident_c @ SY286 @ SV94 )
| ~ ( incident_c @ SY286 @ SV102 )
| ( end_point @ SY286 @ SV94 ) ) )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(704,plain,
! [SV10: $i,SV102: $i,SV94: $i] :
( ( ( ! [SY287: $i] :
( ~ ( incident_c @ SY287 @ SV94 )
| ~ ( incident_c @ SY287 @ SV102 )
| ( end_point @ SY287 @ SV102 ) ) )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(705,plain,
! [SV128: $i,SV116: $i,SV10: $i] :
( ( ( meet @ SV10 @ SV116 @ SV128 )
= $false )
| ( ( incident_c @ SV10 @ SV116 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(706,plain,
! [SV122: $i,SV117: $i,SV10: $i] :
( ( ( meet @ SV10 @ SV117 @ SV122 )
= $false )
| ( ( incident_c @ SV10 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(707,plain,
! [SV58: $i,SV47: $i] :
( ( ( SV47
= ( sK13_Q @ SV58 @ SV47 ) )
= $false )
| ( ( ~ ( incident_o @ SV47 @ SV58 ) )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(708,plain,
! [SV58: $i,SV47: $i] :
( ( ( incident_o @ SV47 @ SV58 )
= $false )
| ( ( incident_o @ ( sK13_Q @ SV58 @ SV47 ) @ SV58 )
= $true )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(709,plain,
! [SV79: $i,SV95: $i,SV118: $i] :
( ( ( incident_o @ SV118 @ SV95 )
= $false )
| ( ( SV79 = SV118 )
= $true )
| ( ( ordered_by @ SV95 @ SV118 @ SV79 )
= $true )
| ( ( finish_point @ SV79 @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(710,plain,
! [SV129: $i,SV123: $i,SV26: $i,SV12: $i] :
( ( ( ~ ( between_o @ SV12 @ SV26 @ SV123 @ SV129 ) )
= $true )
| ( ( ( ordered_by @ SV12 @ SV26 @ SV123 )
| ( ordered_by @ SV12 @ SV129 @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(711,plain,
! [SV132: $i,SV124: $i,SV26: $i,SV12: $i] :
( ( ( ~ ( between_o @ SV12 @ SV26 @ SV124 @ SV132 ) )
= $true )
| ( ( ( ordered_by @ SV12 @ SV26 @ SV124 )
| ( ordered_by @ SV12 @ SV124 @ SV26 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(712,plain,
! [SV130: $i,SV125: $i,SV26: $i,SV12: $i] :
( ( ( ~ ( between_o @ SV12 @ SV26 @ SV125 @ SV130 ) )
= $true )
| ( ( ( ordered_by @ SV12 @ SV125 @ SV130 )
| ( ordered_by @ SV12 @ SV130 @ SV125 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(713,plain,
! [SV131: $i,SV126: $i,SV26: $i,SV12: $i] :
( ( ( ~ ( between_o @ SV12 @ SV26 @ SV126 @ SV131 ) )
= $true )
| ( ( ( ordered_by @ SV12 @ SV126 @ SV131 )
| ( ordered_by @ SV12 @ SV126 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(714,plain,
! [SV26: $i,SV107: $i,SV103: $i,SV12: $i] :
( ( ( ordered_by @ SV12 @ SV103 @ SV107 )
= $false )
| ( ( ordered_by @ SV12 @ SV26 @ SV103 )
= $false )
| ( ( between_o @ SV12 @ SV26 @ SV103 @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(715,plain,
! [SV108: $i,SV26: $i,SV104: $i,SV12: $i] :
( ( ( ordered_by @ SV12 @ SV104 @ SV26 )
= $false )
| ( ( ordered_by @ SV12 @ SV108 @ SV104 )
= $false )
| ( ( between_o @ SV12 @ SV26 @ SV104 @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(716,plain,
! [SV13: $i,SV27: $i,SV36: $i] :
( ( ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
| ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
= $false )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(717,plain,
! [SV70: $i,SV83: $i,SV15: $i,SV109: $i,SV29: $i] :
( ( ( end_point @ SV29 @ SV109 )
= $false )
| ( ( ~ ( part_of @ SV109 @ SV15 ) )
= $true )
| ( ( ~ ( end_point @ SV83 @ SV109 ) )
= $true )
| ( ( ~ ( inner_point @ SV70 @ SV109 ) )
= $true )
| ( ( SV29 = SV83 )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV70 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(718,plain,
! [SV15: $i,SV106: $i,SV111: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SV111 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) ) )
= $false )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(719,plain,
! [SV15: $i,SV29: $i,SV111: $i,SV106: $i] :
( ( ( ~ ( inner_point @ SV106 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) )
= $false )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(720,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 ) )
= $true )
| ( ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 ) )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(721,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 ) )
= $true )
| ( ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(722,plain,
! [SV72: $i,SV62: $i,SV16: $i,SV127: $i] :
( ( ( incident_c @ SV127 @ SV16 )
= $false )
| ( ( ( incident_c @ SV127 @ SV62 )
| ( incident_c @ SV127 @ SV72 ) )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(723,plain,
! [SV72: $i,SV16: $i,SV62: $i] :
( ( ( ! [SY251: $i] :
( ~ ( incident_c @ SY251 @ SV62 )
| ( incident_c @ SY251 @ SV16 ) ) )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(724,plain,
! [SV62: $i,SV16: $i,SV72: $i] :
( ( ( ! [SY262: $i] :
( ~ ( incident_c @ SY262 @ SV72 )
| ( incident_c @ SY262 @ SV16 ) ) )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(725,plain,
! [SV64: $i,SV51: $i] :
( ( ( SV51
= ( sK14_Q @ SV64 @ SV51 ) )
= $false )
| ( ( ~ ( incident_o @ SV51 @ SV64 ) )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(726,plain,
! [SV64: $i,SV51: $i] :
( ( ( incident_o @ SV51 @ SV64 )
= $false )
| ( ( incident_o @ ( sK14_Q @ SV64 @ SV51 ) @ SV64 )
= $true )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(727,plain,
! [SV86: $i,SV99: $i,SV119: $i] :
( ( ( incident_o @ SV119 @ SV99 )
= $false )
| ( ( SV86 = SV119 )
= $true )
| ( ( ordered_by @ SV99 @ SV86 @ SV119 )
= $true )
| ( ( start_point @ SV86 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(728,plain,
! [SV2: $i,SV37: $i,SV33: $i,SV21: $i,SV120: $i] :
( ( ( end_point @ SV120 @ SV21 )
= $false )
| ( ( ~ ( end_point @ SV120 @ SV33 ) )
= $true )
| ( ( ~ ( end_point @ SV120 @ SV37 ) )
= $true )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(729,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
= $false )
| ( ( ~ ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 ) )
= $true )
| ( ( ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(730,plain,
! [SV73: $i,SV65: $i,SV25: $i,SV8: $i,SV101: $i] :
( ( ( between_c @ SV101 @ SV8 @ SV25 @ SV65 )
= $false )
| ( ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 )
= $true )
| ( ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(731,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i] :
( ( ( ! [SY264: $i] :
( ~ ( incident_c @ SY264 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SY264 @ SV74 ) ) )
= $true )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(732,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i] :
( ( ( ! [SY265: $i] :
( ~ ( incident_o @ SY265 @ SV74 )
| ( incident_c @ SY265 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) ) )
= $true )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(733,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(734,plain,
! [SV52: $i,SV40: $i] :
( ( ( ~ ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[695]) ).
thf(735,plain,
! [SV52: $i,SV40: $i] :
( ( ( incident_c @ SV40 @ SV52 )
= $false )
| ( ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ ( sK26_SY108 @ SV52 @ SV40 ) )
= $false )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(736,plain,
! [SV52: $i,SV40: $i] :
( ( ( incident_c @ SV40 @ SV52 )
= $false )
| ( ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ ( sK25_C1 @ SV52 @ SV40 ) )
= $false )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(737,plain,
! [SV75: $i,SV121: $i,SV89: $i,SV113: $i] :
( ( ( ~ ( part_of @ SV113 @ SV89 )
| ~ ( part_of @ SV121 @ SV89 ) )
= $true )
| ( ( ~ ( incident_c @ SV75 @ SV113 ) )
= $true )
| ( ( ~ ( incident_c @ SV75 @ SV121 ) )
= $true )
| ( ( ( part_of @ SV113 @ SV121 )
| ( part_of @ SV121 @ SV113 ) )
= $true )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(738,plain,
! [SV68: $i,SV57: $i,SV10: $i] :
( ( ( ~ ( incident_c @ SV10 @ SV57 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(739,plain,
! [SV68: $i,SV57: $i,SV10: $i] :
( ( ( ~ ( incident_c @ SV10 @ SV57 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(740,plain,
! [SV68: $i,SV57: $i,SV10: $i] :
( ( ( ~ ( incident_c @ SV10 @ SV57 ) )
= $true )
| ( ( ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
= $false )
| ( ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 )
= $false )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(741,plain,
! [SV10: $i,SV102: $i,SV94: $i,SV133: $i] :
( ( ( ~ ( incident_c @ SV133 @ SV94 )
| ~ ( incident_c @ SV133 @ SV102 )
| ( end_point @ SV133 @ SV94 ) )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(742,plain,
! [SV10: $i,SV102: $i,SV94: $i,SV134: $i] :
( ( ( ~ ( incident_c @ SV134 @ SV94 )
| ~ ( incident_c @ SV134 @ SV102 )
| ( end_point @ SV134 @ SV102 ) )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(743,plain,
! [SV58: $i,SV47: $i] :
( ( ( incident_o @ SV47 @ SV58 )
= $false )
| ( ( SV47
= ( sK13_Q @ SV58 @ SV47 ) )
= $false )
| ( ( finish_point @ SV47 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(744,plain,
! [SV129: $i,SV123: $i,SV26: $i,SV12: $i] :
( ( ( between_o @ SV12 @ SV26 @ SV123 @ SV129 )
= $false )
| ( ( ( ordered_by @ SV12 @ SV26 @ SV123 )
| ( ordered_by @ SV12 @ SV129 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(745,plain,
! [SV132: $i,SV124: $i,SV26: $i,SV12: $i] :
( ( ( between_o @ SV12 @ SV26 @ SV124 @ SV132 )
= $false )
| ( ( ( ordered_by @ SV12 @ SV26 @ SV124 )
| ( ordered_by @ SV12 @ SV124 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(746,plain,
! [SV130: $i,SV125: $i,SV26: $i,SV12: $i] :
( ( ( between_o @ SV12 @ SV26 @ SV125 @ SV130 )
= $false )
| ( ( ( ordered_by @ SV12 @ SV125 @ SV130 )
| ( ordered_by @ SV12 @ SV130 @ SV125 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(747,plain,
! [SV131: $i,SV126: $i,SV26: $i,SV12: $i] :
( ( ( between_o @ SV12 @ SV26 @ SV126 @ SV131 )
= $false )
| ( ( ( ordered_by @ SV12 @ SV126 @ SV131 )
| ( ordered_by @ SV12 @ SV126 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(748,plain,
! [SV13: $i,SV27: $i,SV36: $i] :
( ( ( ~ ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) ) )
= $false )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(749,plain,
! [SV13: $i,SV27: $i,SV36: $i] :
( ( ( ~ ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
= $false )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(750,plain,
! [SV70: $i,SV83: $i,SV29: $i,SV15: $i,SV109: $i] :
( ( ( part_of @ SV109 @ SV15 )
= $false )
| ( ( end_point @ SV29 @ SV109 )
= $false )
| ( ( ~ ( end_point @ SV83 @ SV109 ) )
= $true )
| ( ( ~ ( inner_point @ SV70 @ SV109 ) )
= $true )
| ( ( SV29 = SV83 )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV70 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(751,plain,
! [SV15: $i,SV106: $i,SV111: $i,SV29: $i] :
( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SV111 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) ) )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(752,plain,
! [SV15: $i,SV29: $i,SV111: $i,SV106: $i] :
( ( ( inner_point @ SV106 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(753,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
= $false )
| ( ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 ) )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(754,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
= $false )
| ( ( ~ ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 ) )
= $true )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(755,plain,
! [SV16: $i,SV72: $i,SV62: $i,SV127: $i] :
( ( ( incident_c @ SV127 @ SV62 )
= $true )
| ( ( incident_c @ SV127 @ SV72 )
= $true )
| ( ( incident_c @ SV127 @ SV16 )
= $false )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(756,plain,
! [SV72: $i,SV16: $i,SV62: $i,SV135: $i] :
( ( ( ~ ( incident_c @ SV135 @ SV62 )
| ( incident_c @ SV135 @ SV16 ) )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(757,plain,
! [SV62: $i,SV16: $i,SV72: $i,SV136: $i] :
( ( ( ~ ( incident_c @ SV136 @ SV72 )
| ( incident_c @ SV136 @ SV16 ) )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(758,plain,
! [SV64: $i,SV51: $i] :
( ( ( incident_o @ SV51 @ SV64 )
= $false )
| ( ( SV51
= ( sK14_Q @ SV64 @ SV51 ) )
= $false )
| ( ( start_point @ SV51 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(759,plain,
! [SV2: $i,SV37: $i,SV21: $i,SV33: $i,SV120: $i] :
( ( ( end_point @ SV120 @ SV33 )
= $false )
| ( ( end_point @ SV120 @ SV21 )
= $false )
| ( ( ~ ( end_point @ SV120 @ SV37 ) )
= $true )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(760,plain,
! [SV8: $i,SV25: $i,SV65: $i,SV73: $i,SV101: $i] :
( ( ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 )
= $false )
| ( ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
= $false )
| ( ( ~ ( between_c @ SV101 @ SV8 @ SV25 @ SV65 ) )
= $true )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(761,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i,SV137: $i] :
( ( ( ~ ( incident_c @ SV137 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
| ( incident_o @ SV137 @ SV74 ) )
= $true )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(762,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i,SV138: $i] :
( ( ( ~ ( incident_o @ SV138 @ SV74 )
| ( incident_c @ SV138 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) )
= $true )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(763,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(764,plain,
! [SV52: $i,SV40: $i] :
( ( ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[734]) ).
thf(765,plain,
! [SV75: $i,SV121: $i,SV89: $i,SV113: $i] :
( ( ( ~ ( part_of @ SV113 @ SV89 ) )
= $true )
| ( ( ~ ( part_of @ SV121 @ SV89 ) )
= $true )
| ( ( ~ ( incident_c @ SV75 @ SV113 ) )
= $true )
| ( ( ~ ( incident_c @ SV75 @ SV121 ) )
= $true )
| ( ( ( part_of @ SV113 @ SV121 )
| ( part_of @ SV121 @ SV113 ) )
= $true )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(766,plain,
! [SV68: $i,SV57: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV57 )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(767,plain,
! [SV68: $i,SV57: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV57 )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(768,plain,
! [SV68: $i,SV57: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV57 )
= $false )
| ( ( ~ ( incident_c @ SV10 @ SV68 ) )
= $true )
| ( ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
= $false )
| ( ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 )
= $false )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(769,plain,
! [SV10: $i,SV102: $i,SV94: $i,SV133: $i] :
( ( ( ~ ( incident_c @ SV133 @ SV94 )
| ~ ( incident_c @ SV133 @ SV102 ) )
= $true )
| ( ( end_point @ SV133 @ SV94 )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(770,plain,
! [SV10: $i,SV102: $i,SV94: $i,SV134: $i] :
( ( ( ~ ( incident_c @ SV134 @ SV94 )
| ~ ( incident_c @ SV134 @ SV102 ) )
= $true )
| ( ( end_point @ SV134 @ SV102 )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(771,plain,
! [SV129: $i,SV123: $i,SV26: $i,SV12: $i] :
( ( ( ordered_by @ SV12 @ SV26 @ SV123 )
= $true )
| ( ( ordered_by @ SV12 @ SV129 @ SV123 )
= $true )
| ( ( between_o @ SV12 @ SV26 @ SV123 @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(772,plain,
! [SV132: $i,SV124: $i,SV26: $i,SV12: $i] :
( ( ( ordered_by @ SV12 @ SV26 @ SV124 )
= $true )
| ( ( ordered_by @ SV12 @ SV124 @ SV26 )
= $true )
| ( ( between_o @ SV12 @ SV26 @ SV124 @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(773,plain,
! [SV26: $i,SV130: $i,SV125: $i,SV12: $i] :
( ( ( ordered_by @ SV12 @ SV125 @ SV130 )
= $true )
| ( ( ordered_by @ SV12 @ SV130 @ SV125 )
= $true )
| ( ( between_o @ SV12 @ SV26 @ SV125 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(774,plain,
! [SV26: $i,SV131: $i,SV126: $i,SV12: $i] :
( ( ( ordered_by @ SV12 @ SV126 @ SV131 )
= $true )
| ( ( ordered_by @ SV12 @ SV126 @ SV26 )
= $true )
| ( ( between_o @ SV12 @ SV26 @ SV126 @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(775,plain,
! [SV13: $i,SV27: $i,SV36: $i] :
( ( ( ! [SY226: $i] :
( ~ ( incident_c @ SY226 @ SV36 )
| ( incident_o @ SY226 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) ) )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[748]) ).
thf(776,plain,
! [SV13: $i,SV27: $i,SV36: $i] :
( ( ( ! [SY227: $i] :
( ~ ( incident_o @ SY227 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SY227 @ SV36 ) ) )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(777,plain,
! [SV70: $i,SV15: $i,SV29: $i,SV109: $i,SV83: $i] :
( ( ( end_point @ SV83 @ SV109 )
= $false )
| ( ( end_point @ SV29 @ SV109 )
= $false )
| ( ( part_of @ SV109 @ SV15 )
= $false )
| ( ( ~ ( inner_point @ SV70 @ SV109 ) )
= $true )
| ( ( SV29 = SV83 )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV70 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(778,plain,
! [SV15: $i,SV106: $i,SV111: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) )
| ~ ( end_point @ SV111 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) )
= $false )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(779,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV61 )
= $false )
| ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
= $false )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(780,plain,
! [SV16: $i,SV61: $i,SV71: $i] :
( ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV71 )
= $false )
| ( ( incident_c @ ( sK27_Q @ SV71 @ SV61 @ SV16 ) @ SV16 )
= $false )
| ( ( SV16
= ( sum @ SV61 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(781,plain,
! [SV72: $i,SV16: $i,SV62: $i,SV135: $i] :
( ( ( ~ ( incident_c @ SV135 @ SV62 ) )
= $true )
| ( ( incident_c @ SV135 @ SV16 )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(782,plain,
! [SV62: $i,SV16: $i,SV72: $i,SV136: $i] :
( ( ( ~ ( incident_c @ SV136 @ SV72 ) )
= $true )
| ( ( incident_c @ SV136 @ SV16 )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(783,plain,
! [SV2: $i,SV33: $i,SV21: $i,SV37: $i,SV120: $i] :
( ( ( end_point @ SV120 @ SV37 )
= $false )
| ( ( end_point @ SV120 @ SV21 )
= $false )
| ( ( end_point @ SV120 @ SV33 )
= $false )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( ( part_of @ SV37 @ SV21 )
| ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(784,plain,
! [SV73: $i,SV65: $i,SV25: $i,SV8: $i,SV101: $i] :
( ( ( between_c @ SV101 @ SV8 @ SV25 @ SV65 )
= $false )
| ( ( incident_c @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV101 )
= $false )
| ( ( incident_o @ ( sK11_P @ SV101 @ SV73 @ SV65 @ SV25 @ SV8 ) @ SV73 )
= $false )
| ( ( between_o @ SV73 @ SV8 @ SV25 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(785,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i,SV137: $i] :
( ( ( ~ ( incident_c @ SV137 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) ) )
= $true )
| ( ( incident_o @ SV137 @ SV74 )
= $true )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(786,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i,SV138: $i] :
( ( ( ~ ( incident_o @ SV138 @ SV74 ) )
= $true )
| ( ( incident_c @ SV138 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
= $true )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(787,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
| ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(788,plain,
! [SV52: $i,SV40: $i] :
( ( ( incident_c @ SV40 @ SV52 )
= $false )
| ( ( incident_c @ SV40 @ ( sK25_C1 @ SV52 @ SV40 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(789,plain,
! [SV75: $i,SV121: $i,SV89: $i,SV113: $i] :
( ( ( part_of @ SV113 @ SV89 )
= $false )
| ( ( ~ ( part_of @ SV121 @ SV89 ) )
= $true )
| ( ( ~ ( incident_c @ SV75 @ SV113 ) )
= $true )
| ( ( ~ ( incident_c @ SV75 @ SV121 ) )
= $true )
| ( ( ( part_of @ SV113 @ SV121 )
| ( part_of @ SV121 @ SV113 ) )
= $true )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(790,plain,
! [SV57: $i,SV68: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV68 )
= $false )
| ( ( incident_c @ SV10 @ SV57 )
= $false )
| ( ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(791,plain,
! [SV57: $i,SV68: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV68 )
= $false )
| ( ( incident_c @ SV10 @ SV57 )
= $false )
| ( ( incident_c @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 )
= $true )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(792,plain,
! [SV57: $i,SV68: $i,SV10: $i] :
( ( ( incident_c @ SV10 @ SV68 )
= $false )
| ( ( incident_c @ SV10 @ SV57 )
= $false )
| ( ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV57 )
= $false )
| ( ( end_point @ ( sK24_Q @ SV68 @ SV57 @ SV10 ) @ SV68 )
= $false )
| ( ( meet @ SV10 @ SV57 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(793,plain,
! [SV10: $i,SV102: $i,SV94: $i,SV133: $i] :
( ( ( ~ ( incident_c @ SV133 @ SV94 ) )
= $true )
| ( ( ~ ( incident_c @ SV133 @ SV102 ) )
= $true )
| ( ( end_point @ SV133 @ SV94 )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(794,plain,
! [SV10: $i,SV102: $i,SV94: $i,SV134: $i] :
( ( ( ~ ( incident_c @ SV134 @ SV94 ) )
= $true )
| ( ( ~ ( incident_c @ SV134 @ SV102 ) )
= $true )
| ( ( end_point @ SV134 @ SV102 )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(795,plain,
! [SV13: $i,SV27: $i,SV36: $i,SV139: $i] :
( ( ( ~ ( incident_c @ SV139 @ SV36 )
| ( incident_o @ SV139 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(796,plain,
! [SV13: $i,SV27: $i,SV36: $i,SV140: $i] :
( ( ( ~ ( incident_o @ SV140 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
| ( incident_c @ SV140 @ SV36 ) )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(797,plain,
! [SV83: $i,SV29: $i,SV15: $i,SV109: $i,SV70: $i] :
( ( ( inner_point @ SV70 @ SV109 )
= $false )
| ( ( part_of @ SV109 @ SV15 )
= $false )
| ( ( end_point @ SV29 @ SV109 )
= $false )
| ( ( end_point @ SV83 @ SV109 )
= $false )
| ( ( SV29 = SV83 )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV70 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(798,plain,
! [SV15: $i,SV106: $i,SV111: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) ) )
= $false )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(799,plain,
! [SV15: $i,SV29: $i,SV106: $i,SV111: $i] :
( ( ( ~ ( end_point @ SV111 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) )
= $false )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(800,plain,
! [SV72: $i,SV16: $i,SV62: $i,SV135: $i] :
( ( ( incident_c @ SV135 @ SV62 )
= $false )
| ( ( incident_c @ SV135 @ SV16 )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(801,plain,
! [SV62: $i,SV16: $i,SV72: $i,SV136: $i] :
( ( ( incident_c @ SV136 @ SV72 )
= $false )
| ( ( incident_c @ SV136 @ SV16 )
= $true )
| ( ( SV16
= ( sum @ SV62 @ SV72 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(802,plain,
! [SV120: $i,SV2: $i,SV33: $i,SV21: $i,SV37: $i] :
( ( ( part_of @ SV37 @ SV21 )
= $true )
| ( ( ( part_of @ SV21 @ SV37 )
| ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( end_point @ SV120 @ SV33 )
= $false )
| ( ( end_point @ SV120 @ SV21 )
= $false )
| ( ( end_point @ SV120 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(803,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i,SV137: $i] :
( ( ( incident_c @ SV137 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
= $false )
| ( ( incident_o @ SV137 @ SV74 )
= $true )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(804,plain,
! [SV8: $i,SV25: $i,SV66: $i,SV74: $i,SV138: $i] :
( ( ( incident_o @ SV138 @ SV74 )
= $false )
| ( ( incident_c @ SV138 @ ( sK10_C @ SV74 @ SV66 @ SV25 @ SV8 ) )
= $true )
| ( ( between_o @ SV74 @ SV8 @ SV25 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(805,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[787]) ).
thf(806,plain,
! [SV40: $i,SV52: $i] :
( ( ( ~ ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 ) )
= $false )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[787]) ).
thf(807,plain,
! [SV75: $i,SV113: $i,SV89: $i,SV121: $i] :
( ( ( part_of @ SV121 @ SV89 )
= $false )
| ( ( part_of @ SV113 @ SV89 )
= $false )
| ( ( ~ ( incident_c @ SV75 @ SV113 ) )
= $true )
| ( ( ~ ( incident_c @ SV75 @ SV121 ) )
= $true )
| ( ( ( part_of @ SV113 @ SV121 )
| ( part_of @ SV121 @ SV113 ) )
= $true )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(808,plain,
! [SV10: $i,SV102: $i,SV94: $i,SV133: $i] :
( ( ( incident_c @ SV133 @ SV94 )
= $false )
| ( ( ~ ( incident_c @ SV133 @ SV102 ) )
= $true )
| ( ( end_point @ SV133 @ SV94 )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(809,plain,
! [SV10: $i,SV102: $i,SV94: $i,SV134: $i] :
( ( ( incident_c @ SV134 @ SV94 )
= $false )
| ( ( ~ ( incident_c @ SV134 @ SV102 ) )
= $true )
| ( ( end_point @ SV134 @ SV102 )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(810,plain,
! [SV13: $i,SV27: $i,SV36: $i,SV139: $i] :
( ( ( ~ ( incident_c @ SV139 @ SV36 ) )
= $true )
| ( ( incident_o @ SV139 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(811,plain,
! [SV13: $i,SV27: $i,SV36: $i,SV140: $i] :
( ( ( ~ ( incident_o @ SV140 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) ) )
= $true )
| ( ( incident_c @ SV140 @ SV36 )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(812,plain,
! [SV15: $i,SV106: $i,SV111: $i,SV29: $i] :
( ( ( ~ ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) ) )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(813,plain,
! [SV15: $i,SV29: $i,SV106: $i,SV111: $i] :
( ( ( end_point @ SV111 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(814,plain,
! [SV120: $i,SV2: $i,SV33: $i,SV37: $i,SV21: $i] :
( ( ( part_of @ SV21 @ SV37 )
= $true )
| ( ( ( part_of @ SV33 @ SV21 )
| ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true )
| ( ( part_of @ SV37 @ SV21 )
= $true )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( end_point @ SV120 @ SV33 )
= $false )
| ( ( end_point @ SV120 @ SV21 )
= $false )
| ( ( end_point @ SV120 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(815,plain,
! [SV40: $i,SV52: $i] :
( ( ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(816,plain,
! [SV40: $i,SV52: $i] :
( ( ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 )
= $true )
| ( ( ~ ( incident_c @ SV40 @ SV52 ) )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(817,plain,
! [SV121: $i,SV89: $i,SV113: $i,SV75: $i] :
( ( ( incident_c @ SV75 @ SV113 )
= $false )
| ( ( part_of @ SV113 @ SV89 )
= $false )
| ( ( part_of @ SV121 @ SV89 )
= $false )
| ( ( ~ ( incident_c @ SV75 @ SV121 ) )
= $true )
| ( ( ( part_of @ SV113 @ SV121 )
| ( part_of @ SV121 @ SV113 ) )
= $true )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(818,plain,
! [SV10: $i,SV94: $i,SV102: $i,SV133: $i] :
( ( ( incident_c @ SV133 @ SV102 )
= $false )
| ( ( incident_c @ SV133 @ SV94 )
= $false )
| ( ( end_point @ SV133 @ SV94 )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(819,plain,
! [SV10: $i,SV94: $i,SV102: $i,SV134: $i] :
( ( ( incident_c @ SV134 @ SV102 )
= $false )
| ( ( incident_c @ SV134 @ SV94 )
= $false )
| ( ( end_point @ SV134 @ SV102 )
= $true )
| ( ( meet @ SV10 @ SV94 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(820,plain,
! [SV13: $i,SV27: $i,SV36: $i,SV139: $i] :
( ( ( incident_c @ SV139 @ SV36 )
= $false )
| ( ( incident_o @ SV139 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(821,plain,
! [SV13: $i,SV27: $i,SV36: $i,SV140: $i] :
( ( ( incident_o @ SV140 @ ( sK8_O @ SV36 @ SV27 @ SV13 ) )
= $false )
| ( ( incident_c @ SV140 @ SV36 )
= $true )
| ( ( incident_c @ SV13 @ SV36 )
= $false )
| ( ( SV13 = SV27 )
= $true )
| ( ( open @ SV36 )
= $false )
| ( ( incident_c @ SV27 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(822,plain,
! [SV15: $i,SV106: $i,SV111: $i,SV29: $i] :
( ( ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) )
= $false )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(823,plain,
! [SV120: $i,SV2: $i,SV37: $i,SV21: $i,SV33: $i] :
( ( ( part_of @ SV33 @ SV21 )
= $true )
| ( ( ( part_of @ SV21 @ SV33 )
| ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true )
| ( ( part_of @ SV21 @ SV37 )
= $true )
| ( ( part_of @ SV37 @ SV21 )
= $true )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( end_point @ SV120 @ SV33 )
= $false )
| ( ( end_point @ SV120 @ SV21 )
= $false )
| ( ( end_point @ SV120 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(824,plain,
! [SV52: $i,SV40: $i] :
( ( ( incident_c @ SV40 @ SV52 )
= $false )
| ( ( part_of @ ( sK25_C1 @ SV52 @ SV40 ) @ SV52 )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(825,plain,
! [SV52: $i,SV40: $i] :
( ( ( incident_c @ SV40 @ SV52 )
= $false )
| ( ( part_of @ ( sK26_SY108 @ SV52 @ SV40 ) @ SV52 )
= $true )
| ( ( end_point @ SV40 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(826,plain,
! [SV113: $i,SV89: $i,SV121: $i,SV75: $i] :
( ( ( incident_c @ SV75 @ SV121 )
= $false )
| ( ( part_of @ SV121 @ SV89 )
= $false )
| ( ( part_of @ SV113 @ SV89 )
= $false )
| ( ( incident_c @ SV75 @ SV113 )
= $false )
| ( ( ( part_of @ SV113 @ SV121 )
| ( part_of @ SV121 @ SV113 ) )
= $true )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(827,plain,
! [SV15: $i,SV106: $i,SV111: $i,SV29: $i] :
( ( ( ~ ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) ) )
= $false )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(828,plain,
! [SV15: $i,SV29: $i,SV106: $i,SV111: $i] :
( ( ( ~ ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 ) )
= $false )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(829,plain,
! [SV120: $i,SV2: $i,SV37: $i,SV33: $i,SV21: $i] :
( ( ( part_of @ SV21 @ SV33 )
= $true )
| ( ( ( part_of @ SV33 @ SV37 )
| ( part_of @ SV37 @ SV33 ) )
= $true )
| ( ( part_of @ SV33 @ SV21 )
= $true )
| ( ( part_of @ SV21 @ SV37 )
= $true )
| ( ( part_of @ SV37 @ SV21 )
= $true )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( end_point @ SV120 @ SV33 )
= $false )
| ( ( end_point @ SV120 @ SV21 )
= $false )
| ( ( end_point @ SV120 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(830,plain,
! [SV89: $i,SV75: $i,SV121: $i,SV113: $i] :
( ( ( part_of @ SV113 @ SV121 )
= $true )
| ( ( part_of @ SV121 @ SV113 )
= $true )
| ( ( incident_c @ SV75 @ SV113 )
= $false )
| ( ( part_of @ SV113 @ SV89 )
= $false )
| ( ( part_of @ SV121 @ SV89 )
= $false )
| ( ( incident_c @ SV75 @ SV121 )
= $false )
| ( ( end_point @ SV75 @ SV89 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(831,plain,
! [SV15: $i,SV106: $i,SV111: $i,SV29: $i] :
( ( ( end_point @ SV29 @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(832,plain,
! [SV15: $i,SV29: $i,SV106: $i,SV111: $i] :
( ( ( part_of @ ( sK15_Cpp @ SV111 @ SV106 @ SV29 @ SV15 ) @ SV15 )
= $true )
| ( ( between_c @ SV15 @ SV29 @ SV106 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(833,plain,
! [SV120: $i,SV2: $i,SV21: $i,SV37: $i,SV33: $i] :
( ( ( part_of @ SV33 @ SV37 )
= $true )
| ( ( part_of @ SV37 @ SV33 )
= $true )
| ( ( part_of @ SV21 @ SV33 )
= $true )
| ( ( part_of @ SV33 @ SV21 )
= $true )
| ( ( part_of @ SV21 @ SV37 )
= $true )
| ( ( part_of @ SV37 @ SV21 )
= $true )
| ( ( part_of @ SV37 @ SV2 )
= $false )
| ( ( part_of @ SV21 @ SV2 )
= $false )
| ( ( part_of @ SV33 @ SV2 )
= $false )
| ( ( end_point @ SV120 @ SV33 )
= $false )
| ( ( end_point @ SV120 @ SV21 )
= $false )
| ( ( end_point @ SV120 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(834,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[144,833,832,831,830,825,824,821,820,819,818,813,804,803,801,800,797,792,791,790,788,784,780,779,774,773,772,771,758,755,752,743,736,735,730,727,726,715,714,709,708,706,705,696,680,678,660,659,650,647,642,627,617,611,606,601,566,561,546,537,536,535,534,531,529,520,513,489,469,462,461,455,454,450,449,429,427,426,419,411,394,347,316,289,285,258,223,148]) ).
thf(835,plain,
( ( ! [C: $i,C1: $i] :
( ( ( incident_c @ ( sK28_P @ C1 @ C ) @ C1 )
& ~ ( incident_c @ ( sK28_P @ C1 @ C ) @ C ) )
| ( part_of @ C1 @ C ) )
& ! [C: $i,C1: $i] :
( ~ ( part_of @ C1 @ C )
| ! [P: $i] :
( ~ ( incident_c @ P @ C1 )
| ( incident_c @ P @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(836,plain,
( ( ! [C: $i] :
( ! [C1: $i,C2: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C1 ) )
& ( ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C2 ) )
& ( ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C )
| ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C1 )
| ( incident_c @ ( sK27_Q @ C2 @ C1 @ C ) @ C2 ) ) )
| ( C
= ( sum @ C1 @ C2 ) ) )
& ! [C1: $i,C2: $i] :
( ( C
!= ( sum @ C1 @ C2 ) )
| ( ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C2 ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C1 )
| ( incident_c @ Q @ C ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C2 )
| ( incident_c @ Q @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(837,plain,
( ( ! [P: $i,C: $i] :
( ( ( part_of @ ( sK25_C1 @ C @ P ) @ C )
& ( part_of @ ( sK26_SY108 @ C @ P ) @ C )
& ( incident_c @ P @ ( sK25_C1 @ C @ P ) )
& ( incident_c @ P @ ( sK26_SY108 @ C @ P ) )
& ~ ( part_of @ ( sK25_C1 @ C @ P ) @ ( sK26_SY108 @ C @ P ) )
& ~ ( part_of @ ( sK26_SY108 @ C @ P ) @ ( sK25_C1 @ C @ P ) ) )
| ~ ( incident_c @ P @ C )
| ( end_point @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( end_point @ 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 ) ) )
& ! [P: $i,C: $i] :
( ~ ( end_point @ P @ C )
| ( incident_c @ P @ C ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(838,plain,
( ( ! [P: $i,C: $i] :
( ~ ( incident_c @ P @ C )
| ( end_point @ P @ C )
| ( inner_point @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( inner_point @ P @ C )
| ( incident_c @ P @ C ) )
& ! [P: $i,C: $i] :
( ~ ( inner_point @ P @ C )
| ~ ( end_point @ P @ C ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(839,plain,
( ( ! [P: $i] :
( ! [C: $i,C1: $i] :
( ( ( incident_c @ ( sK24_Q @ C1 @ C @ P ) @ C )
& ( incident_c @ ( sK24_Q @ C1 @ C @ P ) @ C1 )
& ( ~ ( end_point @ ( sK24_Q @ C1 @ C @ P ) @ C )
| ~ ( end_point @ ( sK24_Q @ C1 @ C @ P ) @ C1 ) ) )
| ~ ( incident_c @ P @ C )
| ~ ( incident_c @ P @ C1 )
| ( meet @ P @ C @ C1 ) )
& ! [C: $i,C1: $i] :
( ~ ( meet @ P @ C @ C1 )
| ( ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ~ ( incident_c @ Q @ C1 )
| ( end_point @ Q @ C ) )
& ! [Q: $i] :
( ~ ( incident_c @ Q @ C )
| ~ ( incident_c @ Q @ C1 )
| ( end_point @ Q @ C1 ) ) ) )
& ! [C: $i] :
( ! [C1: $i] :
~ ( meet @ P @ C @ C1 )
| ( incident_c @ P @ C ) )
& ! [C: $i,C1: $i] :
( ~ ( meet @ P @ C @ C1 )
| ( incident_c @ P @ C1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(840,plain,
( ( ! [C: $i] :
( ~ ( closed @ C )
| ! [P: $i] :
~ ( end_point @ P @ C ) )
& ! [C: $i] :
( ( end_point @ ( sK23_P @ C ) @ C )
| ( closed @ C ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(841,plain,
( ( ! [C: $i] :
( ! [P: $i] :
~ ( end_point @ P @ C )
| ( open @ C ) )
& ! [C: $i] :
( ~ ( open @ C )
| ( end_point @ ( sK22_P @ C ) @ C ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(842,plain,
( ( ! [C: $i,C1: $i] :
( ( C1 = C )
| ~ ( part_of @ C1 @ C )
| ( open @ C1 ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(843,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 @ C3 @ C1 )
| ( part_of @ C1 @ C3 )
| ( part_of @ C2 @ C1 )
| ( part_of @ C1 @ C2 )
| ( part_of @ C2 @ C3 )
| ( part_of @ C3 @ C2 ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(844,plain,
( ( ! [C: $i] : ( inner_point @ ( sK21_P @ C ) @ C ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(845,plain,
( ( ! [C: $i,P: $i] :
( ~ ( inner_point @ P @ C )
| ( ( C
= ( sum @ ( sK19_C1 @ P @ C ) @ ( sK20_SY107 @ P @ C ) ) )
& ( meet @ P @ ( sK19_C1 @ P @ C ) @ ( sK20_SY107 @ P @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(846,plain,
( ( ! [C: $i,P: $i,Q: $i,R: $i] :
( ~ ( end_point @ P @ C )
| ~ ( end_point @ Q @ C )
| ~ ( end_point @ R @ C )
| ( Q = R )
| ( P = Q )
| ( P = R ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(847,plain,
( ( ! [C: $i,P: $i] :
( ~ ( end_point @ P @ C )
| ( ( P
!= ( sK18_Q @ P @ C ) )
& ( end_point @ ( sK18_Q @ P @ C ) @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(848,plain,
( ( ! [C: $i,C1: $i,C2: $i] :
( ~ ( closed @ C )
| ! [P: $i] :
~ ( meet @ P @ C1 @ C2 )
| ( C
!= ( sum @ C1 @ C2 ) )
| ! [Q: $i] :
( ~ ( end_point @ Q @ C1 )
| ( meet @ Q @ C1 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(849,plain,
( ( ! [C1: $i,C2: $i] :
( ! [P: $i] :
~ ( meet @ P @ C1 @ C2 )
| ( ( sK17_C @ C2 @ C1 )
= ( sum @ C1 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(850,plain,
( ( ! [C: $i,C1: $i] :
( ( ( ~ ( incident_c @ ( sK16_P @ C1 @ C ) @ C )
| ~ ( incident_c @ ( sK16_P @ C1 @ C ) @ C1 ) )
& ( ( incident_c @ ( sK16_P @ C1 @ C ) @ C )
| ( incident_c @ ( sK16_P @ C1 @ C ) @ C1 ) ) )
| ( C = C1 ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(851,plain,
( ( ! [C: $i,P: $i] :
( ! [Q: $i,R: $i] :
( ( P = R )
| ! [Cpp: $i] :
( ~ ( end_point @ P @ Cpp )
| ~ ( part_of @ Cpp @ C )
| ~ ( end_point @ R @ Cpp )
| ~ ( inner_point @ Q @ Cpp ) )
| ( between_c @ C @ P @ Q @ R ) )
& ! [Q: $i,R: $i] :
( ~ ( between_c @ C @ P @ Q @ R )
| ( P != R ) )
& ! [Q: $i,R: $i] :
( ~ ( between_c @ C @ P @ Q @ R )
| ( ( end_point @ P @ ( sK15_Cpp @ R @ Q @ P @ C ) )
& ( part_of @ ( sK15_Cpp @ R @ Q @ P @ C ) @ C )
& ( end_point @ R @ ( sK15_Cpp @ R @ Q @ P @ C ) )
& ( inner_point @ Q @ ( sK15_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(852,plain,
( ( ! [O: $i,P: $i] :
( ! [Q: $i,R: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ P @ Q )
| ( ordered_by @ O @ R @ Q ) )
& ! [Q: $i] :
( ! [R: $i] :
~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ P @ Q )
| ( ordered_by @ O @ Q @ P ) )
& ! [Q: $i,R: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ Q @ R )
| ( ordered_by @ O @ R @ Q ) )
& ! [Q: $i,R: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ordered_by @ O @ Q @ R )
| ( ordered_by @ O @ Q @ P ) )
& ! [Q: $i,R: $i] :
( ~ ( ordered_by @ O @ P @ Q )
| ~ ( ordered_by @ O @ Q @ R )
| ( between_o @ O @ P @ Q @ R ) )
& ! [Q: $i,R: $i] :
( ~ ( ordered_by @ O @ R @ Q )
| ~ ( ordered_by @ O @ Q @ P )
| ( between_o @ O @ P @ Q @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(853,plain,
( ( ! [P: $i,O: $i] :
( ( ( P
!= ( sK14_Q @ O @ P ) )
& ( incident_o @ ( sK14_Q @ O @ P ) @ O )
& ~ ( ordered_by @ O @ P @ ( sK14_Q @ O @ P ) ) )
| ~ ( incident_o @ P @ O )
| ( start_point @ P @ O ) )
& ! [P: $i,O: $i] :
( ~ ( start_point @ P @ O )
| ! [Q: $i] :
( ( P = Q )
| ~ ( incident_o @ Q @ O )
| ( ordered_by @ O @ P @ Q ) ) )
& ! [P: $i,O: $i] :
( ~ ( start_point @ P @ O )
| ( incident_o @ P @ O ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(854,plain,
( ( ! [P: $i,O: $i] :
( ( ( P
!= ( sK13_Q @ O @ P ) )
& ( incident_o @ ( sK13_Q @ O @ P ) @ O )
& ~ ( ordered_by @ O @ ( sK13_Q @ O @ P ) @ P ) )
| ~ ( incident_o @ P @ O )
| ( finish_point @ P @ O ) )
& ! [P: $i,O: $i] :
( ~ ( finish_point @ P @ O )
| ! [Q: $i] :
( ( P = Q )
| ~ ( incident_o @ Q @ O )
| ( ordered_by @ O @ Q @ P ) ) )
& ! [P: $i,O: $i] :
( ~ ( finish_point @ P @ O )
| ( incident_o @ P @ O ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(855,plain,
( ( ! [O: $i] :
( ! [P: $i] :
( ! [Q: $i] :
~ ( ordered_by @ O @ P @ Q )
| ( incident_o @ P @ O ) )
& ! [P: $i,Q: $i] :
( ~ ( ordered_by @ O @ P @ Q )
| ( incident_o @ Q @ O ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(856,plain,
( ( ! [O: $i] :
( ! [SY105: $i] :
( ~ ( incident_c @ SY105 @ ( sK12_C @ O ) )
| ( incident_o @ SY105 @ O ) )
& ! [SY106: $i] :
( ~ ( incident_o @ SY106 @ O )
| ( incident_c @ SY106 @ ( sK12_C @ O ) ) )
& ( open @ ( sK12_C @ O ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(857,plain,
( ( ! [P: $i,Q: $i] :
( ! [R: $i,O: $i] :
( ! [C: $i] :
( ( ( ~ ( incident_c @ ( sK11_P @ C @ O @ R @ Q @ P ) @ C )
| ~ ( incident_o @ ( sK11_P @ C @ O @ R @ Q @ P ) @ O ) )
& ( ( incident_c @ ( sK11_P @ C @ O @ R @ Q @ P ) @ C )
| ( incident_o @ ( sK11_P @ C @ O @ R @ Q @ P ) @ O ) ) )
| ~ ( between_c @ C @ P @ Q @ R ) )
| ( between_o @ O @ P @ Q @ R ) )
& ! [R: $i,O: $i] :
( ~ ( between_o @ O @ P @ Q @ R )
| ( ! [SY103: $i] :
( ~ ( incident_c @ SY103 @ ( sK10_C @ O @ R @ Q @ P ) )
| ( incident_o @ SY103 @ O ) )
& ! [SY104: $i] :
( ~ ( incident_o @ SY104 @ O )
| ( incident_c @ SY104 @ ( sK10_C @ O @ R @ Q @ P ) ) )
& ( between_c @ ( sK10_C @ O @ R @ Q @ P ) @ P @ Q @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(858,plain,
( ( ! [O: $i] : ( start_point @ ( sK9_P @ O ) @ O ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(859,plain,
( ( ! [P: $i,Q: $i,C: $i] :
( ( P = Q )
| ~ ( open @ C )
| ~ ( incident_c @ P @ C )
| ~ ( incident_c @ Q @ C )
| ( ! [SY101: $i] :
( ~ ( incident_c @ SY101 @ C )
| ( incident_o @ SY101 @ ( sK8_O @ C @ Q @ P ) ) )
& ! [SY102: $i] :
( ~ ( incident_o @ SY102 @ ( sK8_O @ C @ Q @ P ) )
| ( incident_c @ SY102 @ C ) )
& ( ordered_by @ ( sK8_O @ C @ Q @ P ) @ P @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(860,plain,
( ( ! [O1: $i,O2: $i] :
( ( ( ~ ( ordered_by @ O1 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) )
| ~ ( ordered_by @ O2 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) ) )
& ( ( ordered_by @ O1 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) )
| ( ordered_by @ O2 @ ( sK6_P @ O2 @ O1 ) @ ( sK7_SY100 @ O2 @ O1 ) ) ) )
| ( O1 = O2 ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(861,plain,
( ( ! [C: $i,O: $i] :
( ( ( ~ ( incident_c @ ( sK5_P @ O @ C ) @ C )
| ~ ( incident_o @ ( sK5_P @ O @ C ) @ O ) )
& ( ( incident_c @ ( sK5_P @ O @ C ) @ C )
| ( incident_o @ ( sK5_P @ O @ C ) @ O ) ) )
| ( C
= ( underlying_curve @ O ) ) )
& ! [C: $i,O: $i] :
( ( C
!= ( underlying_curve @ O ) )
| ( ! [P: $i] :
( ~ ( incident_c @ P @ C )
| ( incident_o @ P @ O ) )
& ! [P: $i] :
( ~ ( incident_o @ P @ O )
| ( incident_c @ P @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(862,plain,
( ( ( ( ordered_by @ sK1_O @ sK2_SY97 @ sK4_SY99 )
| ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 ) )
& ~ ( incident_o @ sK2_SY97 @ sK1_O ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(863,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
| ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ( incident_c @ ( sK27_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ( SX0
= ( sum @ SX1 @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX0 )
| ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX2 ) )
| ~ ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX0 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX2 )
| ( incident_c @ SX3 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[836]) ).
thf(864,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX1 @ SX0 )
| ~ ( ~ ( ( SX1
!= ( sK18_Q @ SX1 @ SX0 ) ) )
| ~ ( end_point @ ( sK18_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[847]) ).
thf(865,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_c @ ( sK16_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[850]) ).
thf(866,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0
= ( underlying_curve @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( underlying_curve @ SX1 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[861]) ).
thf(867,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( ordered_by @ SX0 @ ( sK6_P @ SX1 @ SX0 ) @ ( sK7_SY100 @ SX1 @ SX0 ) )
| ~ ( ordered_by @ SX1 @ ( sK6_P @ SX1 @ SX0 ) @ ( sK7_SY100 @ SX1 @ SX0 ) ) )
| ~ ( ( ordered_by @ SX0 @ ( sK6_P @ SX1 @ SX0 ) @ ( sK7_SY100 @ SX1 @ SX0 ) )
| ( ordered_by @ SX1 @ ( sK6_P @ SX1 @ SX0 ) @ ( sK7_SY100 @ SX1 @ SX0 ) ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[860]) ).
thf(868,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( start_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[853]) ).
thf(869,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK22_P @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[841]) ).
thf(870,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX1 @ SX0 )
| ~ ( ( SX0
!= ( sum @ ( sK19_C1 @ SX1 @ SX0 ) @ ( sK20_SY107 @ SX1 @ SX0 ) ) )
| ~ ( meet @ SX1 @ ( sK19_C1 @ SX1 @ SX0 ) @ ( sK20_SY107 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[845]) ).
thf(871,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK25_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK26_SY108 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ ( sK26_SY108 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ ( sK25_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[837]) ).
thf(872,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK13_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ ( sK13_Q @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( finish_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[854]) ).
thf(873,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( incident_c @ SX1 @ ( sK12_C @ SX0 ) )
| ( incident_o @ SX1 @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( incident_o @ SX1 @ SX0 )
| ( incident_c @ SX1 @ ( sK12_C @ SX0 ) ) ) )
| ~ ( open @ ( sK12_C @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[856]) ).
thf(874,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX1 @ SX2 )
| ( ordered_by @ SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i] :
( ! [SX3: $i] :
~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX1 @ SX2 )
| ( ordered_by @ SX0 @ SX2 @ SX1 ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX3 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX2 @ SX3 )
| ( ordered_by @ SX0 @ SX2 @ SX1 ) ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX3 )
| ( between_o @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( ordered_by @ SX0 @ SX3 @ SX2 )
| ~ ( ordered_by @ SX0 @ SX2 @ SX1 )
| ( between_o @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[852]) ).
thf(875,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( incident_c @ ( sK24_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
| ~ ( end_point @ ( sK24_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ~ ( incident_c @ SX0 @ SX2 )
| ( meet @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( meet @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX1 )
| ~ ( incident_c @ SX3 @ SX2 )
| ( end_point @ SX3 @ SX1 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX1 )
| ~ ( incident_c @ SX3 @ SX2 )
| ( end_point @ SX3 @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( meet @ SX0 @ SX1 @ SX2 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( meet @ SX0 @ SX1 @ SX2 )
| ( incident_c @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[839]) ).
thf(876,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ( end_point @ ( sK23_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[840]) ).
thf(877,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i] :
( ! [SX2: $i] :
~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ( incident_o @ SX1 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
| ( incident_o @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[855]) ).
thf(878,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[838]) ).
thf(879,plain,
( ( ~ ( ~ ( ( ordered_by @ sK1_O @ sK2_SY97 @ sK4_SY99 )
| ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 ) )
| ~ ~ ( incident_o @ sK2_SY97 @ sK1_O ) ) )
= $true ),
inference(unfold_def,[status(thm)],[862]) ).
thf(880,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX1 = SX3 )
| ! [SX4: $i] :
( ~ ( end_point @ SX1 @ SX4 )
| ~ ( part_of @ SX4 @ SX0 )
| ~ ( end_point @ SX3 @ SX4 )
| ~ ( inner_point @ SX2 @ SX4 ) )
| ( between_c @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
| ( SX1 != SX3 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SX1 @ ( sK15_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ( part_of @ ( sK15_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( end_point @ SX3 @ ( sK15_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( inner_point @ SX2 @ ( sK15_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[851]) ).
thf(881,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0 = SX1 )
| ~ ( open @ SX2 )
| ~ ( incident_c @ SX0 @ SX2 )
| ~ ( incident_c @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SX2 )
| ( incident_o @ SX3 @ ( sK8_O @ SX2 @ SX1 @ SX0 ) ) )
| ~ ! [SX3: $i] :
( ~ ( incident_o @ SX3 @ ( sK8_O @ SX2 @ SX1 @ SX0 ) )
| ( incident_c @ SX3 @ SX2 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[859]) ).
thf(882,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[835]) ).
thf(883,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ! [SX4: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX4 )
| ~ ( incident_o @ ( sK11_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 ) )
| ~ ( ( incident_c @ ( sK11_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX4 )
| ( incident_o @ ( sK11_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 ) ) )
| ~ ( between_c @ SX4 @ SX0 @ SX1 @ SX2 ) )
| ( between_o @ SX3 @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( between_o @ SX3 @ SX0 @ SX1 @ SX2 )
| ~ ( ~ ~ ( ~ ! [SX4: $i] :
( ~ ( incident_c @ SX4 @ ( sK10_C @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ( incident_o @ SX4 @ SX3 ) )
| ~ ! [SX4: $i] :
( ~ ( incident_o @ SX4 @ SX3 )
| ( incident_c @ SX4 @ ( sK10_C @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[857]) ).
thf(884,plain,
! [SV141: $i] :
( ( ! [SY299: $i] :
( ( SY299 = SV141 )
| ~ ( part_of @ SY299 @ SV141 )
| ( open @ SY299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(885,plain,
! [SV142: $i] :
( ( ! [SY300: $i,SY301: $i,SY302: $i] :
( ~ ( part_of @ SY300 @ SV142 )
| ~ ( part_of @ SY301 @ SV142 )
| ~ ( part_of @ SY302 @ SV142 )
| ! [P: $i] :
( ~ ( end_point @ P @ SY300 )
| ~ ( end_point @ P @ SY301 )
| ~ ( end_point @ P @ SY302 ) )
| ( part_of @ SY302 @ SY300 )
| ( part_of @ SY300 @ SY302 )
| ( part_of @ SY301 @ SY300 )
| ( part_of @ SY300 @ SY301 )
| ( part_of @ SY301 @ SY302 )
| ( part_of @ SY302 @ SY301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(886,plain,
! [SV143: $i] :
( ( inner_point @ ( sK21_P @ SV143 ) @ SV143 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(887,plain,
! [SV144: $i] :
( ( ! [SY304: $i,SY305: $i,SY306: $i] :
( ~ ( end_point @ SY304 @ SV144 )
| ~ ( end_point @ SY305 @ SV144 )
| ~ ( end_point @ SY306 @ SV144 )
| ( SY305 = SY306 )
| ( SY304 = SY305 )
| ( SY304 = SY306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(888,plain,
! [SV145: $i] :
( ( ! [SY307: $i,SY308: $i] :
( ~ ( closed @ SV145 )
| ! [P: $i] :
~ ( meet @ P @ SY307 @ SY308 )
| ( SV145
!= ( sum @ SY307 @ SY308 ) )
| ! [Q: $i] :
( ~ ( end_point @ Q @ SY307 )
| ( meet @ Q @ SY307 @ SY308 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(889,plain,
! [SV146: $i] :
( ( ! [SY311: $i] :
( ! [SY312: $i] :
~ ( meet @ SY312 @ SV146 @ SY311 )
| ( ( sK17_C @ SY311 @ SV146 )
= ( sum @ SV146 @ SY311 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(890,plain,
! [SV147: $i] :
( ( start_point @ ( sK9_P @ SV147 ) @ SV147 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(891,plain,
! [SV148: $i] :
( ( ~ ( ~ ! [SY313: $i,SY314: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY313 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY314 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY313 )
| ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY314 ) ) )
| ( SV148
= ( sum @ SY313 @ SY314 ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ( SV148
!= ( sum @ SY315 @ SY316 ) )
| ~ ( ~ ! [SY317: $i] :
( ~ ( incident_c @ SY317 @ SV148 )
| ( incident_c @ SY317 @ SY315 )
| ( incident_c @ SY317 @ SY316 ) )
| ~ ~ ( ~ ! [SY318: $i] :
( ~ ( incident_c @ SY318 @ SY315 )
| ( incident_c @ SY318 @ SV148 ) )
| ~ ! [SY319: $i] :
( ~ ( incident_c @ SY319 @ SY316 )
| ( incident_c @ SY319 @ SV148 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(892,plain,
! [SV149: $i] :
( ( ! [SY320: $i] :
( ~ ( end_point @ SY320 @ SV149 )
| ~ ( ~ ( ( SY320
!= ( sK18_Q @ SY320 @ SV149 ) ) )
| ~ ( end_point @ ( sK18_Q @ SY320 @ SV149 ) @ SV149 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(893,plain,
! [SV150: $i] :
( ( ! [SY321: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK16_P @ SY321 @ SV150 ) @ SV150 )
| ~ ( incident_c @ ( sK16_P @ SY321 @ SV150 ) @ SY321 ) )
| ~ ( ( incident_c @ ( sK16_P @ SY321 @ SV150 ) @ SV150 )
| ( incident_c @ ( sK16_P @ SY321 @ SV150 ) @ SY321 ) ) )
| ( SV150 = SY321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(894,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0
= ( underlying_curve @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( underlying_curve @ SX1 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[866]) ).
thf(895,plain,
! [SV151: $i] :
( ( ! [SY322: $i] :
( ~ ( ~ ( ~ ( ordered_by @ SV151 @ ( sK6_P @ SY322 @ SV151 ) @ ( sK7_SY100 @ SY322 @ SV151 ) )
| ~ ( ordered_by @ SY322 @ ( sK6_P @ SY322 @ SV151 ) @ ( sK7_SY100 @ SY322 @ SV151 ) ) )
| ~ ( ( ordered_by @ SV151 @ ( sK6_P @ SY322 @ SV151 ) @ ( sK7_SY100 @ SY322 @ SV151 ) )
| ( ordered_by @ SY322 @ ( sK6_P @ SY322 @ SV151 ) @ ( sK7_SY100 @ SY322 @ SV151 ) ) ) )
| ( SV151 = SY322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(896,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( start_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(897,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK22_P @ SX0 ) @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(898,plain,
! [SV152: $i] :
( ( ! [SY323: $i] :
( ~ ( inner_point @ SY323 @ SV152 )
| ~ ( ( SV152
!= ( sum @ ( sK19_C1 @ SY323 @ SV152 ) @ ( sK20_SY107 @ SY323 @ SV152 ) ) )
| ~ ( meet @ SY323 @ ( sK19_C1 @ SY323 @ SV152 ) @ ( sK20_SY107 @ SY323 @ SV152 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(899,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK25_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK26_SY108 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ ( sK26_SY108 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ ( sK25_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(900,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK13_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ ( sK13_Q @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( finish_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(901,plain,
! [SV153: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY324: $i] :
( ~ ( incident_c @ SY324 @ ( sK12_C @ SV153 ) )
| ( incident_o @ SY324 @ SV153 ) )
| ~ ! [SY325: $i] :
( ~ ( incident_o @ SY325 @ SV153 )
| ( incident_c @ SY325 @ ( sK12_C @ SV153 ) ) ) )
| ~ ( open @ ( sK12_C @ SV153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(902,plain,
! [SV154: $i] :
( ( ! [SY326: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SY327: $i,SY328: $i] :
( ~ ( between_o @ SV154 @ SY326 @ SY327 @ SY328 )
| ( ordered_by @ SV154 @ SY326 @ SY327 )
| ( ordered_by @ SV154 @ SY328 @ SY327 ) )
| ~ ! [SY329: $i] :
( ! [SY330: $i] :
~ ( between_o @ SV154 @ SY326 @ SY329 @ SY330 )
| ( ordered_by @ SV154 @ SY326 @ SY329 )
| ( ordered_by @ SV154 @ SY329 @ SY326 ) ) )
| ~ ~ ( ~ ! [SY331: $i,SY332: $i] :
( ~ ( between_o @ SV154 @ SY326 @ SY331 @ SY332 )
| ( ordered_by @ SV154 @ SY331 @ SY332 )
| ( ordered_by @ SV154 @ SY332 @ SY331 ) )
| ~ ! [SY333: $i,SY334: $i] :
( ~ ( between_o @ SV154 @ SY326 @ SY333 @ SY334 )
| ( ordered_by @ SV154 @ SY333 @ SY334 )
| ( ordered_by @ SV154 @ SY333 @ SY326 ) ) ) )
| ~ ~ ( ~ ! [SY335: $i,SY336: $i] :
( ~ ( ordered_by @ SV154 @ SY326 @ SY335 )
| ~ ( ordered_by @ SV154 @ SY335 @ SY336 )
| ( between_o @ SV154 @ SY326 @ SY335 @ SY336 ) )
| ~ ! [SY337: $i,SY338: $i] :
( ~ ( ordered_by @ SV154 @ SY338 @ SY337 )
| ~ ( ordered_by @ SV154 @ SY337 @ SY326 )
| ( between_o @ SV154 @ SY326 @ SY337 @ SY338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(903,plain,
! [SV155: $i] :
( ( ~ ( ~ ! [SY339: $i,SY340: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY339 )
| ~ ( incident_c @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY340 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY339 )
| ~ ( end_point @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY340 ) ) )
| ~ ( incident_c @ SV155 @ SY339 )
| ~ ( incident_c @ SV155 @ SY340 )
| ( meet @ SV155 @ SY339 @ SY340 ) )
| ~ ~ ( ~ ! [SY341: $i,SY342: $i] :
( ~ ( meet @ SV155 @ SY341 @ SY342 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY341 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY342 ) ) ) )
| ~ ~ ( ~ ! [SY345: $i] :
( ! [SY346: $i] :
~ ( meet @ SV155 @ SY345 @ SY346 )
| ( incident_c @ SV155 @ SY345 ) )
| ~ ! [SY347: $i,SY348: $i] :
( ~ ( meet @ SV155 @ SY347 @ SY348 )
| ( incident_c @ SV155 @ SY348 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(904,plain,
( ( ~ ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) )
| ~ ! [SX0: $i] :
( ( end_point @ ( sK23_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(905,plain,
! [SV156: $i] :
( ( ~ ( ~ ! [SY349: $i] :
( ! [SY350: $i] :
~ ( ordered_by @ SV156 @ SY349 @ SY350 )
| ( incident_o @ SY349 @ SV156 ) )
| ~ ! [SY351: $i,SY352: $i] :
( ~ ( ordered_by @ SV156 @ SY351 @ SY352 )
| ( incident_o @ SY352 @ SV156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(906,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(907,plain,
( ( ~ ( ( ordered_by @ sK1_O @ sK2_SY97 @ sK4_SY99 )
| ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 ) )
| ~ ~ ( incident_o @ sK2_SY97 @ sK1_O ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(908,plain,
! [SV157: $i] :
( ( ! [SY353: $i] :
~ ( ~ ! [SY354: $i,SY355: $i] :
( ( SY353 = SY355 )
| ! [SY356: $i] :
( ~ ( end_point @ SY353 @ SY356 )
| ~ ( part_of @ SY356 @ SV157 )
| ~ ( end_point @ SY355 @ SY356 )
| ~ ( inner_point @ SY354 @ SY356 ) )
| ( between_c @ SV157 @ SY353 @ SY354 @ SY355 ) )
| ~ ~ ( ~ ! [SY357: $i,SY358: $i] :
( ~ ( between_c @ SV157 @ SY353 @ SY357 @ SY358 )
| ( SY353 != SY358 ) )
| ~ ! [SY359: $i,SY360: $i] :
( ~ ( between_c @ SV157 @ SY353 @ SY359 @ SY360 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SY353 @ ( sK15_Cpp @ SY360 @ SY359 @ SY353 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY360 @ SY359 @ SY353 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SY360 @ ( sK15_Cpp @ SY360 @ SY359 @ SY353 @ SV157 ) ) )
| ~ ( inner_point @ SY359 @ ( sK15_Cpp @ SY360 @ SY359 @ SY353 @ SV157 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(909,plain,
! [SV158: $i] :
( ( ! [SY361: $i,SY362: $i] :
( ( SV158 = SY361 )
| ~ ( open @ SY362 )
| ~ ( incident_c @ SV158 @ SY362 )
| ~ ( incident_c @ SY361 @ SY362 )
| ~ ( ~ ~ ( ~ ! [SY363: $i] :
( ~ ( incident_c @ SY363 @ SY362 )
| ( incident_o @ SY363 @ ( sK8_O @ SY362 @ SY361 @ SV158 ) ) )
| ~ ! [SY364: $i] :
( ~ ( incident_o @ SY364 @ ( sK8_O @ SY362 @ SY361 @ SV158 ) )
| ( incident_c @ SY364 @ SY362 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SY362 @ SY361 @ SV158 ) @ SV158 @ SY361 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(910,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(911,plain,
! [SV159: $i] :
( ( ! [SY365: $i] :
~ ( ~ ! [SY366: $i,SY367: $i] :
( ! [SY368: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY368 @ SY367 @ SY366 @ SY365 @ SV159 ) @ SY368 )
| ~ ( incident_o @ ( sK11_P @ SY368 @ SY367 @ SY366 @ SY365 @ SV159 ) @ SY367 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY368 @ SY367 @ SY366 @ SY365 @ SV159 ) @ SY368 )
| ( incident_o @ ( sK11_P @ SY368 @ SY367 @ SY366 @ SY365 @ SV159 ) @ SY367 ) ) )
| ~ ( between_c @ SY368 @ SV159 @ SY365 @ SY366 ) )
| ( between_o @ SY367 @ SV159 @ SY365 @ SY366 ) )
| ~ ! [SY369: $i,SY370: $i] :
( ~ ( between_o @ SY370 @ SV159 @ SY365 @ SY369 )
| ~ ( ~ ~ ( ~ ! [SY371: $i] :
( ~ ( incident_c @ SY371 @ ( sK10_C @ SY370 @ SY369 @ SY365 @ SV159 ) )
| ( incident_o @ SY371 @ SY370 ) )
| ~ ! [SY372: $i] :
( ~ ( incident_o @ SY372 @ SY370 )
| ( incident_c @ SY372 @ ( sK10_C @ SY370 @ SY369 @ SY365 @ SV159 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY370 @ SY369 @ SY365 @ SV159 ) @ SV159 @ SY365 @ SY369 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(912,plain,
! [SV141: $i,SV160: $i] :
( ( ( SV160 = SV141 )
| ~ ( part_of @ SV160 @ SV141 )
| ( open @ SV160 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(913,plain,
! [SV142: $i,SV161: $i] :
( ( ! [SY373: $i,SY374: $i] :
( ~ ( part_of @ SV161 @ SV142 )
| ~ ( part_of @ SY373 @ SV142 )
| ~ ( part_of @ SY374 @ SV142 )
| ! [SY375: $i] :
( ~ ( end_point @ SY375 @ SV161 )
| ~ ( end_point @ SY375 @ SY373 )
| ~ ( end_point @ SY375 @ SY374 ) )
| ( part_of @ SY374 @ SV161 )
| ( part_of @ SV161 @ SY374 )
| ( part_of @ SY373 @ SV161 )
| ( part_of @ SV161 @ SY373 )
| ( part_of @ SY373 @ SY374 )
| ( part_of @ SY374 @ SY373 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(914,plain,
! [SV144: $i,SV162: $i] :
( ( ! [SY376: $i,SY377: $i] :
( ~ ( end_point @ SV162 @ SV144 )
| ~ ( end_point @ SY376 @ SV144 )
| ~ ( end_point @ SY377 @ SV144 )
| ( SY376 = SY377 )
| ( SV162 = SY376 )
| ( SV162 = SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(915,plain,
! [SV163: $i,SV145: $i] :
( ( ! [SY378: $i] :
( ~ ( closed @ SV145 )
| ! [SY379: $i] :
~ ( meet @ SY379 @ SV163 @ SY378 )
| ( SV145
!= ( sum @ SV163 @ SY378 ) )
| ! [SY380: $i] :
( ~ ( end_point @ SY380 @ SV163 )
| ( meet @ SY380 @ SV163 @ SY378 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(916,plain,
! [SV164: $i,SV146: $i] :
( ( ! [SY381: $i] :
~ ( meet @ SY381 @ SV146 @ SV164 )
| ( ( sK17_C @ SV164 @ SV146 )
= ( sum @ SV146 @ SV164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(917,plain,
! [SV148: $i] :
( ( ~ ! [SY313: $i,SY314: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY313 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY314 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY313 )
| ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY314 ) ) )
| ( SV148
= ( sum @ SY313 @ SY314 ) ) )
| ~ ! [SY315: $i,SY316: $i] :
( ( SV148
!= ( sum @ SY315 @ SY316 ) )
| ~ ( ~ ! [SY317: $i] :
( ~ ( incident_c @ SY317 @ SV148 )
| ( incident_c @ SY317 @ SY315 )
| ( incident_c @ SY317 @ SY316 ) )
| ~ ~ ( ~ ! [SY318: $i] :
( ~ ( incident_c @ SY318 @ SY315 )
| ( incident_c @ SY318 @ SV148 ) )
| ~ ! [SY319: $i] :
( ~ ( incident_c @ SY319 @ SY316 )
| ( incident_c @ SY319 @ SV148 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(918,plain,
! [SV149: $i,SV165: $i] :
( ( ~ ( end_point @ SV165 @ SV149 )
| ~ ( ~ ( ( SV165
!= ( sK18_Q @ SV165 @ SV149 ) ) )
| ~ ( end_point @ ( sK18_Q @ SV165 @ SV149 ) @ SV149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(919,plain,
! [SV150: $i,SV166: $i] :
( ( ~ ( ~ ( ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
| ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) )
| ~ ( ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
| ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) ) )
| ( SV150 = SV166 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(920,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0
= ( underlying_curve @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(921,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( underlying_curve @ SX1 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[894]) ).
thf(922,plain,
! [SV167: $i,SV151: $i] :
( ( ~ ( ~ ( ~ ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
| ~ ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) )
| ~ ( ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
| ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) ) )
| ( SV151 = SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(923,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( start_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(924,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(925,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(926,plain,
( ( ~ ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK22_P @ SX0 ) @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[897]) ).
thf(927,plain,
! [SV152: $i,SV168: $i] :
( ( ~ ( inner_point @ SV168 @ SV152 )
| ~ ( ( SV152
!= ( sum @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) )
| ~ ( meet @ SV168 @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(928,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK25_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK26_SY108 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ ( sK26_SY108 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ ( sK25_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(929,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(930,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK13_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ ( sK13_Q @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( finish_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(931,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[900]) ).
thf(932,plain,
! [SV153: $i] :
( ( ~ ~ ( ~ ! [SY324: $i] :
( ~ ( incident_c @ SY324 @ ( sK12_C @ SV153 ) )
| ( incident_o @ SY324 @ SV153 ) )
| ~ ! [SY325: $i] :
( ~ ( incident_o @ SY325 @ SV153 )
| ( incident_c @ SY325 @ ( sK12_C @ SV153 ) ) ) )
| ~ ( open @ ( sK12_C @ SV153 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(933,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY382: $i,SY383: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY382 @ SY383 )
| ( ordered_by @ SV154 @ SV169 @ SY382 )
| ( ordered_by @ SV154 @ SY383 @ SY382 ) )
| ~ ! [SY384: $i] :
( ! [SY385: $i] :
~ ( between_o @ SV154 @ SV169 @ SY384 @ SY385 )
| ( ordered_by @ SV154 @ SV169 @ SY384 )
| ( ordered_by @ SV154 @ SY384 @ SV169 ) ) )
| ~ ~ ( ~ ! [SY386: $i,SY387: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY387 @ SY386 ) )
| ~ ! [SY388: $i,SY389: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SV169 ) ) ) )
| ~ ~ ( ~ ! [SY390: $i,SY391: $i] :
( ~ ( ordered_by @ SV154 @ SV169 @ SY390 )
| ~ ( ordered_by @ SV154 @ SY390 @ SY391 )
| ( between_o @ SV154 @ SV169 @ SY390 @ SY391 ) )
| ~ ! [SY392: $i,SY393: $i] :
( ~ ( ordered_by @ SV154 @ SY393 @ SY392 )
| ~ ( ordered_by @ SV154 @ SY392 @ SV169 )
| ( between_o @ SV154 @ SV169 @ SY392 @ SY393 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(934,plain,
! [SV155: $i] :
( ( ~ ! [SY339: $i,SY340: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY339 )
| ~ ( incident_c @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY340 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY339 )
| ~ ( end_point @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY340 ) ) )
| ~ ( incident_c @ SV155 @ SY339 )
| ~ ( incident_c @ SV155 @ SY340 )
| ( meet @ SV155 @ SY339 @ SY340 ) )
| ~ ~ ( ~ ! [SY341: $i,SY342: $i] :
( ~ ( meet @ SV155 @ SY341 @ SY342 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY341 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY342 ) ) ) )
| ~ ~ ( ~ ! [SY345: $i] :
( ! [SY346: $i] :
~ ( meet @ SV155 @ SY345 @ SY346 )
| ( incident_c @ SV155 @ SY345 ) )
| ~ ! [SY347: $i,SY348: $i] :
( ~ ( meet @ SV155 @ SY347 @ SY348 )
| ( incident_c @ SV155 @ SY348 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(935,plain,
( ( ~ ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(936,plain,
( ( ~ ! [SX0: $i] :
( ( end_point @ ( sK23_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(937,plain,
! [SV156: $i] :
( ( ~ ! [SY349: $i] :
( ! [SY350: $i] :
~ ( ordered_by @ SV156 @ SY349 @ SY350 )
| ( incident_o @ SY349 @ SV156 ) )
| ~ ! [SY351: $i,SY352: $i] :
( ~ ( ordered_by @ SV156 @ SY351 @ SY352 )
| ( incident_o @ SY352 @ SV156 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(938,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(939,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(940,plain,
( ( ~ ( ( ordered_by @ sK1_O @ sK2_SY97 @ sK4_SY99 )
| ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[907]) ).
thf(941,plain,
( ( ~ ~ ( incident_o @ sK2_SY97 @ sK1_O ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[907]) ).
thf(942,plain,
! [SV157: $i,SV170: $i] :
( ( ~ ( ~ ! [SY394: $i,SY395: $i] :
( ( SV170 = SY395 )
| ! [SY396: $i] :
( ~ ( end_point @ SV170 @ SY396 )
| ~ ( part_of @ SY396 @ SV157 )
| ~ ( end_point @ SY395 @ SY396 )
| ~ ( inner_point @ SY394 @ SY396 ) )
| ( between_c @ SV157 @ SV170 @ SY394 @ SY395 ) )
| ~ ~ ( ~ ! [SY397: $i,SY398: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY397 @ SY398 )
| ( SV170 != SY398 ) )
| ~ ! [SY399: $i,SY400: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY399 @ SY400 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SY400 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SY399 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(943,plain,
! [SV171: $i,SV158: $i] :
( ( ! [SY401: $i] :
( ( SV158 = SV171 )
| ~ ( open @ SY401 )
| ~ ( incident_c @ SV158 @ SY401 )
| ~ ( incident_c @ SV171 @ SY401 )
| ~ ( ~ ~ ( ~ ! [SY402: $i] :
( ~ ( incident_c @ SY402 @ SY401 )
| ( incident_o @ SY402 @ ( sK8_O @ SY401 @ SV171 @ SV158 ) ) )
| ~ ! [SY403: $i] :
( ~ ( incident_o @ SY403 @ ( sK8_O @ SY401 @ SV171 @ SV158 ) )
| ( incident_c @ SY403 @ SY401 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SY401 @ SV171 @ SV158 ) @ SV158 @ SV171 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(944,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(945,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(946,plain,
! [SV159: $i,SV172: $i] :
( ( ~ ( ~ ! [SY404: $i,SY405: $i] :
( ! [SY406: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY406 )
| ~ ( incident_o @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY405 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY406 )
| ( incident_o @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY405 ) ) )
| ~ ( between_c @ SY406 @ SV159 @ SV172 @ SY404 ) )
| ( between_o @ SY405 @ SV159 @ SV172 @ SY404 ) )
| ~ ! [SY407: $i,SY408: $i] :
( ~ ( between_o @ SY408 @ SV159 @ SV172 @ SY407 )
| ~ ( ~ ~ ( ~ ! [SY409: $i] :
( ~ ( incident_c @ SY409 @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) )
| ( incident_o @ SY409 @ SY408 ) )
| ~ ! [SY410: $i] :
( ~ ( incident_o @ SY410 @ SY408 )
| ( incident_c @ SY410 @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SY407 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(947,plain,
! [SV141: $i,SV160: $i] :
( ( ( ( SV160 = SV141 )
| ~ ( part_of @ SV160 @ SV141 ) )
= $true )
| ( ( open @ SV160 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[912]) ).
thf(948,plain,
! [SV173: $i,SV142: $i,SV161: $i] :
( ( ! [SY411: $i] :
( ~ ( part_of @ SV161 @ SV142 )
| ~ ( part_of @ SV173 @ SV142 )
| ~ ( part_of @ SY411 @ SV142 )
| ! [SY412: $i] :
( ~ ( end_point @ SY412 @ SV161 )
| ~ ( end_point @ SY412 @ SV173 )
| ~ ( end_point @ SY412 @ SY411 ) )
| ( part_of @ SY411 @ SV161 )
| ( part_of @ SV161 @ SY411 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SY411 )
| ( part_of @ SY411 @ SV173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(949,plain,
! [SV174: $i,SV144: $i,SV162: $i] :
( ( ! [SY413: $i] :
( ~ ( end_point @ SV162 @ SV144 )
| ~ ( end_point @ SV174 @ SV144 )
| ~ ( end_point @ SY413 @ SV144 )
| ( SV174 = SY413 )
| ( SV162 = SV174 )
| ( SV162 = SY413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(950,plain,
! [SV175: $i,SV163: $i,SV145: $i] :
( ( ~ ( closed @ SV145 )
| ! [SY414: $i] :
~ ( meet @ SY414 @ SV163 @ SV175 )
| ( SV145
!= ( sum @ SV163 @ SV175 ) )
| ! [SY415: $i] :
( ~ ( end_point @ SY415 @ SV163 )
| ( meet @ SY415 @ SV163 @ SV175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(951,plain,
! [SV164: $i,SV146: $i] :
( ( ( ! [SY381: $i] :
~ ( meet @ SY381 @ SV146 @ SV164 ) )
= $true )
| ( ( ( sK17_C @ SV164 @ SV146 )
= ( sum @ SV146 @ SV164 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(952,plain,
! [SV148: $i] :
( ( ~ ! [SY313: $i,SY314: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY313 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY314 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY313 )
| ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY314 ) ) )
| ( SV148
= ( sum @ SY313 @ SY314 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(953,plain,
! [SV148: $i] :
( ( ~ ! [SY315: $i,SY316: $i] :
( ( SV148
!= ( sum @ SY315 @ SY316 ) )
| ~ ( ~ ! [SY317: $i] :
( ~ ( incident_c @ SY317 @ SV148 )
| ( incident_c @ SY317 @ SY315 )
| ( incident_c @ SY317 @ SY316 ) )
| ~ ~ ( ~ ! [SY318: $i] :
( ~ ( incident_c @ SY318 @ SY315 )
| ( incident_c @ SY318 @ SV148 ) )
| ~ ! [SY319: $i] :
( ~ ( incident_c @ SY319 @ SY316 )
| ( incident_c @ SY319 @ SV148 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(954,plain,
! [SV149: $i,SV165: $i] :
( ( ( ~ ( end_point @ SV165 @ SV149 ) )
= $true )
| ( ( ~ ( ~ ( ( SV165
!= ( sK18_Q @ SV165 @ SV149 ) ) )
| ~ ( end_point @ ( sK18_Q @ SV165 @ SV149 ) @ SV149 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(955,plain,
! [SV150: $i,SV166: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
| ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) )
| ~ ( ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
| ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) ) ) )
= $true )
| ( ( SV150 = SV166 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(956,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ~ ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( ( incident_c @ ( sK5_P @ SX1 @ SX0 ) @ SX0 )
| ( incident_o @ ( sK5_P @ SX1 @ SX0 ) @ SX1 ) ) )
| ( SX0
= ( underlying_curve @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[920]) ).
thf(957,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0
!= ( underlying_curve @ SX1 ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(958,plain,
! [SV167: $i,SV151: $i] :
( ( ( ~ ( ~ ( ~ ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
| ~ ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) )
| ~ ( ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
| ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) ) ) )
= $true )
| ( ( SV151 = SV167 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[922]) ).
thf(959,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK14_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( start_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(960,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(961,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 )
| ( open @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[925]) ).
thf(962,plain,
( ( ! [SX0: $i] :
( ~ ( open @ SX0 )
| ( end_point @ ( sK22_P @ SX0 ) @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[926]) ).
thf(963,plain,
! [SV152: $i,SV168: $i] :
( ( ( ~ ( inner_point @ SV168 @ SV152 ) )
= $true )
| ( ( ~ ( ( SV152
!= ( sum @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) )
| ~ ( meet @ SV168 @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(964,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ SX1 )
| ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( incident_c @ SX0 @ ( sK25_C1 @ SX1 @ SX0 ) ) )
| ~ ( incident_c @ SX0 @ ( sK26_SY108 @ SX1 @ SX0 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SX1 @ SX0 ) @ ( sK26_SY108 @ SX1 @ SX0 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SX1 @ SX0 ) @ ( sK25_C1 @ SX1 @ SX0 ) ) ) )
| ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[928]) ).
thf(965,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(966,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ~ ( ~ ( ( SX0
!= ( sK13_Q @ SX1 @ SX0 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SX1 @ SX0 ) @ SX1 ) )
| ~ ~ ( ordered_by @ SX1 @ ( sK13_Q @ SX1 @ SX0 ) @ SX0 ) )
| ~ ( incident_o @ SX0 @ SX1 )
| ( finish_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[930]) ).
thf(967,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(968,plain,
! [SV153: $i] :
( ( ~ ~ ( ~ ! [SY324: $i] :
( ~ ( incident_c @ SY324 @ ( sK12_C @ SV153 ) )
| ( incident_o @ SY324 @ SV153 ) )
| ~ ! [SY325: $i] :
( ~ ( incident_o @ SY325 @ SV153 )
| ( incident_c @ SY325 @ ( sK12_C @ SV153 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(969,plain,
! [SV153: $i] :
( ( ~ ( open @ ( sK12_C @ SV153 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(970,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY382: $i,SY383: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY382 @ SY383 )
| ( ordered_by @ SV154 @ SV169 @ SY382 )
| ( ordered_by @ SV154 @ SY383 @ SY382 ) )
| ~ ! [SY384: $i] :
( ! [SY385: $i] :
~ ( between_o @ SV154 @ SV169 @ SY384 @ SY385 )
| ( ordered_by @ SV154 @ SV169 @ SY384 )
| ( ordered_by @ SV154 @ SY384 @ SV169 ) ) )
| ~ ~ ( ~ ! [SY386: $i,SY387: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY387 @ SY386 ) )
| ~ ! [SY388: $i,SY389: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SV169 ) ) ) )
| ~ ~ ( ~ ! [SY390: $i,SY391: $i] :
( ~ ( ordered_by @ SV154 @ SV169 @ SY390 )
| ~ ( ordered_by @ SV154 @ SY390 @ SY391 )
| ( between_o @ SV154 @ SV169 @ SY390 @ SY391 ) )
| ~ ! [SY392: $i,SY393: $i] :
( ~ ( ordered_by @ SV154 @ SY393 @ SY392 )
| ~ ( ordered_by @ SV154 @ SY392 @ SV169 )
| ( between_o @ SV154 @ SV169 @ SY392 @ SY393 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(971,plain,
! [SV155: $i] :
( ( ~ ! [SY339: $i,SY340: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY339 )
| ~ ( incident_c @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY340 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY339 )
| ~ ( end_point @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY340 ) ) )
| ~ ( incident_c @ SV155 @ SY339 )
| ~ ( incident_c @ SV155 @ SY340 )
| ( meet @ SV155 @ SY339 @ SY340 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[934]) ).
thf(972,plain,
! [SV155: $i] :
( ( ~ ~ ( ~ ! [SY341: $i,SY342: $i] :
( ~ ( meet @ SV155 @ SY341 @ SY342 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY341 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY342 ) ) ) )
| ~ ~ ( ~ ! [SY345: $i] :
( ! [SY346: $i] :
~ ( meet @ SV155 @ SY345 @ SY346 )
| ( incident_c @ SV155 @ SY345 ) )
| ~ ! [SY347: $i,SY348: $i] :
( ~ ( meet @ SV155 @ SY347 @ SY348 )
| ( incident_c @ SV155 @ SY348 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[934]) ).
thf(973,plain,
( ( ! [SX0: $i] :
( ~ ( closed @ SX0 )
| ! [SX1: $i] :
~ ( end_point @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(974,plain,
( ( ! [SX0: $i] :
( ( end_point @ ( sK23_P @ SX0 ) @ SX0 )
| ( closed @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(975,plain,
! [SV156: $i] :
( ( ~ ! [SY349: $i] :
( ! [SY350: $i] :
~ ( ordered_by @ SV156 @ SY349 @ SY350 )
| ( incident_o @ SY349 @ SV156 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(976,plain,
! [SV156: $i] :
( ( ~ ! [SY351: $i,SY352: $i] :
( ~ ( ordered_by @ SV156 @ SY351 @ SY352 )
| ( incident_o @ SY352 @ SV156 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(977,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( incident_c @ SX0 @ SX1 )
| ( end_point @ SX0 @ SX1 )
| ( inner_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(978,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[939]) ).
thf(979,plain,
( ( ( ordered_by @ sK1_O @ sK2_SY97 @ sK4_SY99 )
| ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[940]) ).
thf(980,plain,
( ( ~ ( incident_o @ sK2_SY97 @ sK1_O ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[941]) ).
thf(981,plain,
! [SV157: $i,SV170: $i] :
( ( ~ ! [SY394: $i,SY395: $i] :
( ( SV170 = SY395 )
| ! [SY396: $i] :
( ~ ( end_point @ SV170 @ SY396 )
| ~ ( part_of @ SY396 @ SV157 )
| ~ ( end_point @ SY395 @ SY396 )
| ~ ( inner_point @ SY394 @ SY396 ) )
| ( between_c @ SV157 @ SV170 @ SY394 @ SY395 ) )
| ~ ~ ( ~ ! [SY397: $i,SY398: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY397 @ SY398 )
| ( SV170 != SY398 ) )
| ~ ! [SY399: $i,SY400: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY399 @ SY400 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SY400 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SY399 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(982,plain,
! [SV176: $i,SV171: $i,SV158: $i] :
( ( ( SV158 = SV171 )
| ~ ( open @ SV176 )
| ~ ( incident_c @ SV158 @ SV176 )
| ~ ( incident_c @ SV171 @ SV176 )
| ~ ( ~ ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(983,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX1 )
| ~ ~ ( incident_c @ ( sK28_P @ SX1 @ SX0 ) @ SX0 ) )
| ( part_of @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(984,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( part_of @ SX1 @ SX0 )
| ! [SX2: $i] :
( ~ ( incident_c @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(985,plain,
! [SV159: $i,SV172: $i] :
( ( ~ ! [SY404: $i,SY405: $i] :
( ! [SY406: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY406 )
| ~ ( incident_o @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY405 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY406 )
| ( incident_o @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY405 ) ) )
| ~ ( between_c @ SY406 @ SV159 @ SV172 @ SY404 ) )
| ( between_o @ SY405 @ SV159 @ SV172 @ SY404 ) )
| ~ ! [SY407: $i,SY408: $i] :
( ~ ( between_o @ SY408 @ SV159 @ SV172 @ SY407 )
| ~ ( ~ ~ ( ~ ! [SY409: $i] :
( ~ ( incident_c @ SY409 @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) )
| ( incident_o @ SY409 @ SY408 ) )
| ~ ! [SY410: $i] :
( ~ ( incident_o @ SY410 @ SY408 )
| ( incident_c @ SY410 @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SY407 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(986,plain,
! [SV141: $i,SV160: $i] :
( ( ( SV160 = SV141 )
= $true )
| ( ( ~ ( part_of @ SV160 @ SV141 ) )
= $true )
| ( ( open @ SV160 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[947]) ).
thf(987,plain,
! [SV177: $i,SV173: $i,SV142: $i,SV161: $i] :
( ( ~ ( part_of @ SV161 @ SV142 )
| ~ ( part_of @ SV173 @ SV142 )
| ~ ( part_of @ SV177 @ SV142 )
| ! [SY418: $i] :
( ~ ( end_point @ SY418 @ SV161 )
| ~ ( end_point @ SY418 @ SV173 )
| ~ ( end_point @ SY418 @ SV177 ) )
| ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(988,plain,
! [SV178: $i,SV174: $i,SV144: $i,SV162: $i] :
( ( ~ ( end_point @ SV162 @ SV144 )
| ~ ( end_point @ SV174 @ SV144 )
| ~ ( end_point @ SV178 @ SV144 )
| ( SV174 = SV178 )
| ( SV162 = SV174 )
| ( SV162 = SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(989,plain,
! [SV175: $i,SV163: $i,SV145: $i] :
( ( ( ~ ( closed @ SV145 )
| ! [SY414: $i] :
~ ( meet @ SY414 @ SV163 @ SV175 )
| ( SV145
!= ( sum @ SV163 @ SV175 ) ) )
= $true )
| ( ( ! [SY415: $i] :
( ~ ( end_point @ SY415 @ SV163 )
| ( meet @ SY415 @ SV163 @ SV175 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(990,plain,
! [SV164: $i,SV146: $i,SV179: $i] :
( ( ( ~ ( meet @ SV179 @ SV146 @ SV164 ) )
= $true )
| ( ( ( sK17_C @ SV164 @ SV146 )
= ( sum @ SV146 @ SV164 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(991,plain,
! [SV148: $i] :
( ( ! [SY313: $i,SY314: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY313 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY314 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SV148 )
| ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY313 )
| ( incident_c @ ( sK27_Q @ SY314 @ SY313 @ SV148 ) @ SY314 ) ) )
| ( SV148
= ( sum @ SY313 @ SY314 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(992,plain,
! [SV148: $i] :
( ( ! [SY315: $i,SY316: $i] :
( ( SV148
!= ( sum @ SY315 @ SY316 ) )
| ~ ( ~ ! [SY317: $i] :
( ~ ( incident_c @ SY317 @ SV148 )
| ( incident_c @ SY317 @ SY315 )
| ( incident_c @ SY317 @ SY316 ) )
| ~ ~ ( ~ ! [SY318: $i] :
( ~ ( incident_c @ SY318 @ SY315 )
| ( incident_c @ SY318 @ SV148 ) )
| ~ ! [SY319: $i] :
( ~ ( incident_c @ SY319 @ SY316 )
| ( incident_c @ SY319 @ SV148 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[953]) ).
thf(993,plain,
! [SV149: $i,SV165: $i] :
( ( ( end_point @ SV165 @ SV149 )
= $false )
| ( ( ~ ( ~ ( ( SV165
!= ( sK18_Q @ SV165 @ SV149 ) ) )
| ~ ( end_point @ ( sK18_Q @ SV165 @ SV149 ) @ SV149 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(994,plain,
! [SV150: $i,SV166: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
| ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) )
| ~ ( ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
| ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) ) )
= $false )
| ( ( SV150 = SV166 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(995,plain,
! [SV180: $i] :
( ( ! [SY419: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SY419 @ SV180 ) @ SV180 )
| ~ ( incident_o @ ( sK5_P @ SY419 @ SV180 ) @ SY419 ) )
| ~ ( ( incident_c @ ( sK5_P @ SY419 @ SV180 ) @ SV180 )
| ( incident_o @ ( sK5_P @ SY419 @ SV180 ) @ SY419 ) ) )
| ( SV180
= ( underlying_curve @ SY419 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(996,plain,
! [SV181: $i] :
( ( ! [SY420: $i] :
( ( SV181
!= ( underlying_curve @ SY420 ) )
| ~ ( ~ ! [SY421: $i] :
( ~ ( incident_c @ SY421 @ SV181 )
| ( incident_o @ SY421 @ SY420 ) )
| ~ ! [SY422: $i] :
( ~ ( incident_o @ SY422 @ SY420 )
| ( incident_c @ SY422 @ SV181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(997,plain,
! [SV167: $i,SV151: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
| ~ ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) )
| ~ ( ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
| ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) ) )
= $false )
| ( ( SV151 = SV167 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(998,plain,
! [SV182: $i] :
( ( ! [SY423: $i] :
( ~ ( ~ ~ ( ~ ( ( SV182
!= ( sK14_Q @ SY423 @ SV182 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SY423 @ SV182 ) @ SY423 ) )
| ~ ~ ( ordered_by @ SY423 @ SV182 @ ( sK14_Q @ SY423 @ SV182 ) ) )
| ~ ( incident_o @ SV182 @ SY423 )
| ( start_point @ SV182 @ SY423 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(999,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1000,plain,
! [SV183: $i] :
( ( ! [SY424: $i] :
~ ( end_point @ SY424 @ SV183 )
| ( open @ SV183 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1001,plain,
! [SV184: $i] :
( ( ~ ( open @ SV184 )
| ( end_point @ ( sK22_P @ SV184 ) @ SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1002,plain,
! [SV152: $i,SV168: $i] :
( ( ( inner_point @ SV168 @ SV152 )
= $false )
| ( ( ~ ( ( SV152
!= ( sum @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) )
| ~ ( meet @ SV168 @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1003,plain,
! [SV185: $i] :
( ( ! [SY425: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SY425 @ SV185 ) @ SY425 )
| ~ ( part_of @ ( sK26_SY108 @ SY425 @ SV185 ) @ SY425 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SY425 @ SV185 ) ) )
| ~ ( incident_c @ SV185 @ ( sK26_SY108 @ SY425 @ SV185 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SY425 @ SV185 ) @ ( sK26_SY108 @ SY425 @ SV185 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SY425 @ SV185 ) @ ( sK25_C1 @ SY425 @ SV185 ) ) ) )
| ~ ( incident_c @ SV185 @ SY425 )
| ( end_point @ SV185 @ SY425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1004,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1005,plain,
! [SV186: $i] :
( ( ! [SY426: $i] :
( ~ ( ~ ~ ( ~ ( ( SV186
!= ( sK13_Q @ SY426 @ SV186 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SY426 @ SV186 ) @ SY426 ) )
| ~ ~ ( ordered_by @ SY426 @ ( sK13_Q @ SY426 @ SV186 ) @ SV186 ) )
| ~ ( incident_o @ SV186 @ SY426 )
| ( finish_point @ SV186 @ SY426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[966]) ).
thf(1006,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(1007,plain,
! [SV153: $i] :
( ( ~ ( ~ ! [SY324: $i] :
( ~ ( incident_c @ SY324 @ ( sK12_C @ SV153 ) )
| ( incident_o @ SY324 @ SV153 ) )
| ~ ! [SY325: $i] :
( ~ ( incident_o @ SY325 @ SV153 )
| ( incident_c @ SY325 @ ( sK12_C @ SV153 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1008,plain,
! [SV153: $i] :
( ( open @ ( sK12_C @ SV153 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(1009,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY382: $i,SY383: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY382 @ SY383 )
| ( ordered_by @ SV154 @ SV169 @ SY382 )
| ( ordered_by @ SV154 @ SY383 @ SY382 ) )
| ~ ! [SY384: $i] :
( ! [SY385: $i] :
~ ( between_o @ SV154 @ SV169 @ SY384 @ SY385 )
| ( ordered_by @ SV154 @ SV169 @ SY384 )
| ( ordered_by @ SV154 @ SY384 @ SV169 ) ) )
| ~ ~ ( ~ ! [SY386: $i,SY387: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY387 @ SY386 ) )
| ~ ! [SY388: $i,SY389: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SV169 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1010,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ~ ( ~ ! [SY390: $i,SY391: $i] :
( ~ ( ordered_by @ SV154 @ SV169 @ SY390 )
| ~ ( ordered_by @ SV154 @ SY390 @ SY391 )
| ( between_o @ SV154 @ SV169 @ SY390 @ SY391 ) )
| ~ ! [SY392: $i,SY393: $i] :
( ~ ( ordered_by @ SV154 @ SY393 @ SY392 )
| ~ ( ordered_by @ SV154 @ SY392 @ SV169 )
| ( between_o @ SV154 @ SV169 @ SY392 @ SY393 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1011,plain,
! [SV155: $i] :
( ( ! [SY339: $i,SY340: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY339 )
| ~ ( incident_c @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY340 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY339 )
| ~ ( end_point @ ( sK24_Q @ SY340 @ SY339 @ SV155 ) @ SY340 ) ) )
| ~ ( incident_c @ SV155 @ SY339 )
| ~ ( incident_c @ SV155 @ SY340 )
| ( meet @ SV155 @ SY339 @ SY340 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1012,plain,
! [SV155: $i] :
( ( ~ ( ~ ! [SY341: $i,SY342: $i] :
( ~ ( meet @ SV155 @ SY341 @ SY342 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY341 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY342 ) ) ) )
| ~ ~ ( ~ ! [SY345: $i] :
( ! [SY346: $i] :
~ ( meet @ SV155 @ SY345 @ SY346 )
| ( incident_c @ SV155 @ SY345 ) )
| ~ ! [SY347: $i,SY348: $i] :
( ~ ( meet @ SV155 @ SY347 @ SY348 )
| ( incident_c @ SV155 @ SY348 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(1013,plain,
! [SV187: $i] :
( ( ~ ( closed @ SV187 )
| ! [SY427: $i] :
~ ( end_point @ SY427 @ SV187 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1014,plain,
! [SV188: $i] :
( ( ( end_point @ ( sK23_P @ SV188 ) @ SV188 )
| ( closed @ SV188 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[974]) ).
thf(1015,plain,
! [SV156: $i] :
( ( ! [SY349: $i] :
( ! [SY350: $i] :
~ ( ordered_by @ SV156 @ SY349 @ SY350 )
| ( incident_o @ SY349 @ SV156 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1016,plain,
! [SV156: $i] :
( ( ! [SY351: $i,SY352: $i] :
( ~ ( ordered_by @ SV156 @ SY351 @ SY352 )
| ( incident_o @ SY352 @ SV156 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1017,plain,
! [SV189: $i] :
( ( ! [SY428: $i] :
( ~ ( incident_c @ SV189 @ SY428 )
| ( end_point @ SV189 @ SY428 )
| ( inner_point @ SV189 @ SY428 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1018,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1019,plain,
( ( ( ordered_by @ sK1_O @ sK2_SY97 @ sK4_SY99 )
= $true )
| ( ( ordered_by @ sK1_O @ sK3_SY99 @ sK2_SY97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1020,plain,
( ( incident_o @ sK2_SY97 @ sK1_O )
= $false ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1021,plain,
! [SV157: $i,SV170: $i] :
( ( ~ ! [SY394: $i,SY395: $i] :
( ( SV170 = SY395 )
| ! [SY396: $i] :
( ~ ( end_point @ SV170 @ SY396 )
| ~ ( part_of @ SY396 @ SV157 )
| ~ ( end_point @ SY395 @ SY396 )
| ~ ( inner_point @ SY394 @ SY396 ) )
| ( between_c @ SV157 @ SV170 @ SY394 @ SY395 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(1022,plain,
! [SV170: $i,SV157: $i] :
( ( ~ ~ ( ~ ! [SY397: $i,SY398: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY397 @ SY398 )
| ( SV170 != SY398 ) )
| ~ ! [SY399: $i,SY400: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY399 @ SY400 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SY400 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SY399 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[981]) ).
thf(1023,plain,
! [SV176: $i,SV171: $i,SV158: $i] :
( ( ( ( SV158 = SV171 )
| ~ ( open @ SV176 )
| ~ ( incident_c @ SV158 @ SV176 )
| ~ ( incident_c @ SV171 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1024,plain,
! [SV190: $i] :
( ( ! [SY429: $i] :
( ~ ( ~ ( incident_c @ ( sK28_P @ SY429 @ SV190 ) @ SY429 )
| ~ ~ ( incident_c @ ( sK28_P @ SY429 @ SV190 ) @ SV190 ) )
| ( part_of @ SY429 @ SV190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1025,plain,
! [SV191: $i] :
( ( ! [SY430: $i] :
( ~ ( part_of @ SY430 @ SV191 )
| ! [SY431: $i] :
( ~ ( incident_c @ SY431 @ SY430 )
| ( incident_c @ SY431 @ SV191 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1026,plain,
! [SV159: $i,SV172: $i] :
( ( ~ ! [SY404: $i,SY405: $i] :
( ! [SY406: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY406 )
| ~ ( incident_o @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY405 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY406 )
| ( incident_o @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY405 ) ) )
| ~ ( between_c @ SY406 @ SV159 @ SV172 @ SY404 ) )
| ( between_o @ SY405 @ SV159 @ SV172 @ SY404 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1027,plain,
! [SV172: $i,SV159: $i] :
( ( ~ ! [SY407: $i,SY408: $i] :
( ~ ( between_o @ SY408 @ SV159 @ SV172 @ SY407 )
| ~ ( ~ ~ ( ~ ! [SY409: $i] :
( ~ ( incident_c @ SY409 @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) )
| ( incident_o @ SY409 @ SY408 ) )
| ~ ! [SY410: $i] :
( ~ ( incident_o @ SY410 @ SY408 )
| ( incident_c @ SY410 @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SY407 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1028,plain,
! [SV141: $i,SV160: $i] :
( ( ( part_of @ SV160 @ SV141 )
= $false )
| ( ( SV160 = SV141 )
= $true )
| ( ( open @ SV160 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1029,plain,
! [SV177: $i,SV173: $i,SV142: $i,SV161: $i] :
( ( ( ~ ( part_of @ SV161 @ SV142 )
| ~ ( part_of @ SV173 @ SV142 )
| ~ ( part_of @ SV177 @ SV142 )
| ! [SY418: $i] :
( ~ ( end_point @ SY418 @ SV161 )
| ~ ( end_point @ SY418 @ SV173 )
| ~ ( end_point @ SY418 @ SV177 ) ) )
= $true )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1030,plain,
! [SV178: $i,SV174: $i,SV144: $i,SV162: $i] :
( ( ( ~ ( end_point @ SV162 @ SV144 )
| ~ ( end_point @ SV174 @ SV144 )
| ~ ( end_point @ SV178 @ SV144 ) )
= $true )
| ( ( ( SV174 = SV178 )
| ( SV162 = SV174 )
| ( SV162 = SV178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1031,plain,
! [SV175: $i,SV163: $i,SV145: $i] :
( ( ( ~ ( closed @ SV145 )
| ! [SY414: $i] :
~ ( meet @ SY414 @ SV163 @ SV175 ) )
= $true )
| ( ( ( SV145
!= ( sum @ SV163 @ SV175 ) ) )
= $true )
| ( ( ! [SY415: $i] :
( ~ ( end_point @ SY415 @ SV163 )
| ( meet @ SY415 @ SV163 @ SV175 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1032,plain,
! [SV164: $i,SV146: $i,SV179: $i] :
( ( ( meet @ SV179 @ SV146 @ SV164 )
= $false )
| ( ( ( sK17_C @ SV164 @ SV146 )
= ( sum @ SV146 @ SV164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1033,plain,
! [SV148: $i,SV192: $i] :
( ( ! [SY432: $i] :
( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SY432 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SY432 @ SV192 @ SV148 ) @ SV192 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SY432 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SY432 @ SV192 @ SV148 ) @ SY432 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SY432 @ SV192 @ SV148 ) @ SV148 )
| ( incident_c @ ( sK27_Q @ SY432 @ SV192 @ SV148 ) @ SV192 )
| ( incident_c @ ( sK27_Q @ SY432 @ SV192 @ SV148 ) @ SY432 ) ) )
| ( SV148
= ( sum @ SV192 @ SY432 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1034,plain,
! [SV193: $i,SV148: $i] :
( ( ! [SY433: $i] :
( ( SV148
!= ( sum @ SV193 @ SY433 ) )
| ~ ( ~ ! [SY434: $i] :
( ~ ( incident_c @ SY434 @ SV148 )
| ( incident_c @ SY434 @ SV193 )
| ( incident_c @ SY434 @ SY433 ) )
| ~ ~ ( ~ ! [SY435: $i] :
( ~ ( incident_c @ SY435 @ SV193 )
| ( incident_c @ SY435 @ SV148 ) )
| ~ ! [SY319: $i] :
( ~ ( incident_c @ SY319 @ SY433 )
| ( incident_c @ SY319 @ SV148 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1035,plain,
! [SV149: $i,SV165: $i] :
( ( ( ~ ( ( SV165
!= ( sK18_Q @ SV165 @ SV149 ) ) )
| ~ ( end_point @ ( sK18_Q @ SV165 @ SV149 ) @ SV149 ) )
= $false )
| ( ( end_point @ SV165 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1036,plain,
! [SV150: $i,SV166: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
| ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) ) )
= $false )
| ( ( SV150 = SV166 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1037,plain,
! [SV150: $i,SV166: $i] :
( ( ( ~ ( ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
| ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) ) )
= $false )
| ( ( SV150 = SV166 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1038,plain,
! [SV180: $i,SV194: $i] :
( ( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
| ~ ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) )
| ~ ( ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
| ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) ) )
| ( SV180
= ( underlying_curve @ SV194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1039,plain,
! [SV195: $i,SV181: $i] :
( ( ( SV181
!= ( underlying_curve @ SV195 ) )
| ~ ( ~ ! [SY437: $i] :
( ~ ( incident_c @ SY437 @ SV181 )
| ( incident_o @ SY437 @ SV195 ) )
| ~ ! [SY438: $i] :
( ~ ( incident_o @ SY438 @ SV195 )
| ( incident_c @ SY438 @ SV181 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1040,plain,
! [SV167: $i,SV151: $i] :
( ( ( ~ ( ~ ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
| ~ ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) ) )
= $false )
| ( ( SV151 = SV167 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1041,plain,
! [SV167: $i,SV151: $i] :
( ( ( ~ ( ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
| ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) ) )
= $false )
| ( ( SV151 = SV167 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1042,plain,
! [SV196: $i,SV182: $i] :
( ( ~ ( ~ ~ ( ~ ( ( SV182
!= ( sK14_Q @ SV196 @ SV182 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV196 @ SV182 ) @ SV196 ) )
| ~ ~ ( ordered_by @ SV196 @ SV182 @ ( sK14_Q @ SV196 @ SV182 ) ) )
| ~ ( incident_o @ SV182 @ SV196 )
| ( start_point @ SV182 @ SV196 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1043,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1044,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1045,plain,
! [SV183: $i] :
( ( ( ! [SY424: $i] :
~ ( end_point @ SY424 @ SV183 ) )
= $true )
| ( ( open @ SV183 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1046,plain,
! [SV184: $i] :
( ( ( ~ ( open @ SV184 ) )
= $true )
| ( ( end_point @ ( sK22_P @ SV184 ) @ SV184 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1047,plain,
! [SV168: $i,SV152: $i] :
( ( ( ( SV152
!= ( sum @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) )
| ~ ( meet @ SV168 @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) )
= $false )
| ( ( inner_point @ SV168 @ SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1048,plain,
! [SV185: $i,SV197: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) )
| ~ ( incident_c @ SV185 @ ( sK26_SY108 @ SV197 @ SV185 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) ) ) )
| ~ ( incident_c @ SV185 @ SV197 )
| ( end_point @ SV185 @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1049,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1050,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1051,plain,
! [SV198: $i,SV186: $i] :
( ( ~ ( ~ ~ ( ~ ( ( SV186
!= ( sK13_Q @ SV198 @ SV186 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV198 @ SV186 ) @ SV198 ) )
| ~ ~ ( ordered_by @ SV198 @ ( sK13_Q @ SV198 @ SV186 ) @ SV186 ) )
| ~ ( incident_o @ SV186 @ SV198 )
| ( finish_point @ SV186 @ SV198 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1052,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1053,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1054,plain,
! [SV153: $i] :
( ( ~ ! [SY324: $i] :
( ~ ( incident_c @ SY324 @ ( sK12_C @ SV153 ) )
| ( incident_o @ SY324 @ SV153 ) )
| ~ ! [SY325: $i] :
( ~ ( incident_o @ SY325 @ SV153 )
| ( incident_c @ SY325 @ ( sK12_C @ SV153 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1055,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY382: $i,SY383: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY382 @ SY383 )
| ( ordered_by @ SV154 @ SV169 @ SY382 )
| ( ordered_by @ SV154 @ SY383 @ SY382 ) )
| ~ ! [SY384: $i] :
( ! [SY385: $i] :
~ ( between_o @ SV154 @ SV169 @ SY384 @ SY385 )
| ( ordered_by @ SV154 @ SV169 @ SY384 )
| ( ordered_by @ SV154 @ SY384 @ SV169 ) ) )
| ~ ~ ( ~ ! [SY386: $i,SY387: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY387 @ SY386 ) )
| ~ ! [SY388: $i,SY389: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SV169 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1056,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ( ~ ! [SY390: $i,SY391: $i] :
( ~ ( ordered_by @ SV154 @ SV169 @ SY390 )
| ~ ( ordered_by @ SV154 @ SY390 @ SY391 )
| ( between_o @ SV154 @ SV169 @ SY390 @ SY391 ) )
| ~ ! [SY392: $i,SY393: $i] :
( ~ ( ordered_by @ SV154 @ SY393 @ SY392 )
| ~ ( ordered_by @ SV154 @ SY392 @ SV169 )
| ( between_o @ SV154 @ SV169 @ SY392 @ SY393 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1057,plain,
! [SV155: $i,SV199: $i] :
( ( ! [SY439: $i] :
( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SY439 @ SV199 @ SV155 ) @ SV199 )
| ~ ( incident_c @ ( sK24_Q @ SY439 @ SV199 @ SV155 ) @ SY439 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SY439 @ SV199 @ SV155 ) @ SV199 )
| ~ ( end_point @ ( sK24_Q @ SY439 @ SV199 @ SV155 ) @ SY439 ) ) )
| ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SY439 )
| ( meet @ SV155 @ SV199 @ SY439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1058,plain,
! [SV155: $i] :
( ( ~ ! [SY341: $i,SY342: $i] :
( ~ ( meet @ SV155 @ SY341 @ SY342 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY341 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY342 ) ) ) )
| ~ ~ ( ~ ! [SY345: $i] :
( ! [SY346: $i] :
~ ( meet @ SV155 @ SY345 @ SY346 )
| ( incident_c @ SV155 @ SY345 ) )
| ~ ! [SY347: $i,SY348: $i] :
( ~ ( meet @ SV155 @ SY347 @ SY348 )
| ( incident_c @ SV155 @ SY348 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1059,plain,
! [SV187: $i] :
( ( ( ~ ( closed @ SV187 ) )
= $true )
| ( ( ! [SY427: $i] :
~ ( end_point @ SY427 @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1060,plain,
! [SV188: $i] :
( ( ( end_point @ ( sK23_P @ SV188 ) @ SV188 )
= $true )
| ( ( closed @ SV188 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1061,plain,
! [SV200: $i,SV156: $i] :
( ( ! [SY440: $i] :
~ ( ordered_by @ SV156 @ SV200 @ SY440 )
| ( incident_o @ SV200 @ SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1062,plain,
! [SV201: $i,SV156: $i] :
( ( ! [SY441: $i] :
( ~ ( ordered_by @ SV156 @ SV201 @ SY441 )
| ( incident_o @ SY441 @ SV156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1063,plain,
! [SV202: $i,SV189: $i] :
( ( ~ ( incident_c @ SV189 @ SV202 )
| ( end_point @ SV189 @ SV202 )
| ( inner_point @ SV189 @ SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1064,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1018]) ).
thf(1065,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1018]) ).
thf(1066,plain,
! [SV157: $i,SV170: $i] :
( ( ! [SY394: $i,SY395: $i] :
( ( SV170 = SY395 )
| ! [SY396: $i] :
( ~ ( end_point @ SV170 @ SY396 )
| ~ ( part_of @ SY396 @ SV157 )
| ~ ( end_point @ SY395 @ SY396 )
| ~ ( inner_point @ SY394 @ SY396 ) )
| ( between_c @ SV157 @ SV170 @ SY394 @ SY395 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1067,plain,
! [SV170: $i,SV157: $i] :
( ( ~ ( ~ ! [SY397: $i,SY398: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY397 @ SY398 )
| ( SV170 != SY398 ) )
| ~ ! [SY399: $i,SY400: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY399 @ SY400 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SY400 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SY399 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1068,plain,
! [SV176: $i,SV171: $i,SV158: $i] :
( ( ( ( SV158 = SV171 )
| ~ ( open @ SV176 )
| ~ ( incident_c @ SV158 @ SV176 ) )
= $true )
| ( ( ~ ( incident_c @ SV171 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1023]) ).
thf(1069,plain,
! [SV190: $i,SV203: $i] :
( ( ~ ( ~ ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV203 )
| ~ ~ ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV190 ) )
| ( part_of @ SV203 @ SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1024]) ).
thf(1070,plain,
! [SV191: $i,SV204: $i] :
( ( ~ ( part_of @ SV204 @ SV191 )
| ! [SY442: $i] :
( ~ ( incident_c @ SY442 @ SV204 )
| ( incident_c @ SY442 @ SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1025]) ).
thf(1071,plain,
! [SV159: $i,SV172: $i] :
( ( ! [SY404: $i,SY405: $i] :
( ! [SY406: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY406 )
| ~ ( incident_o @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY405 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY406 )
| ( incident_o @ ( sK11_P @ SY406 @ SY405 @ SY404 @ SV172 @ SV159 ) @ SY405 ) ) )
| ~ ( between_c @ SY406 @ SV159 @ SV172 @ SY404 ) )
| ( between_o @ SY405 @ SV159 @ SV172 @ SY404 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1026]) ).
thf(1072,plain,
! [SV172: $i,SV159: $i] :
( ( ! [SY407: $i,SY408: $i] :
( ~ ( between_o @ SY408 @ SV159 @ SV172 @ SY407 )
| ~ ( ~ ~ ( ~ ! [SY409: $i] :
( ~ ( incident_c @ SY409 @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) )
| ( incident_o @ SY409 @ SY408 ) )
| ~ ! [SY410: $i] :
( ~ ( incident_o @ SY410 @ SY408 )
| ( incident_c @ SY410 @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY408 @ SY407 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SY407 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1073,plain,
! [SV177: $i,SV173: $i,SV142: $i,SV161: $i] :
( ( ( ~ ( part_of @ SV161 @ SV142 )
| ~ ( part_of @ SV173 @ SV142 )
| ~ ( part_of @ SV177 @ SV142 ) )
= $true )
| ( ( ! [SY418: $i] :
( ~ ( end_point @ SY418 @ SV161 )
| ~ ( end_point @ SY418 @ SV173 )
| ~ ( end_point @ SY418 @ SV177 ) ) )
= $true )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1029]) ).
thf(1074,plain,
! [SV178: $i,SV174: $i,SV144: $i,SV162: $i] :
( ( ( ~ ( end_point @ SV162 @ SV144 )
| ~ ( end_point @ SV174 @ SV144 ) )
= $true )
| ( ( ~ ( end_point @ SV178 @ SV144 ) )
= $true )
| ( ( ( SV174 = SV178 )
| ( SV162 = SV174 )
| ( SV162 = SV178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1075,plain,
! [SV175: $i,SV163: $i,SV145: $i] :
( ( ( ~ ( closed @ SV145 ) )
= $true )
| ( ( ! [SY414: $i] :
~ ( meet @ SY414 @ SV163 @ SV175 ) )
= $true )
| ( ( ( SV145
!= ( sum @ SV163 @ SV175 ) ) )
= $true )
| ( ( ! [SY415: $i] :
( ~ ( end_point @ SY415 @ SV163 )
| ( meet @ SY415 @ SV163 @ SV175 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1076,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) )
| ( SV148
= ( sum @ SV192 @ SV205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1077,plain,
! [SV206: $i,SV193: $i,SV148: $i] :
( ( ( SV148
!= ( sum @ SV193 @ SV206 ) )
| ~ ( ~ ! [SY443: $i] :
( ~ ( incident_c @ SY443 @ SV148 )
| ( incident_c @ SY443 @ SV193 )
| ( incident_c @ SY443 @ SV206 ) )
| ~ ~ ( ~ ! [SY435: $i] :
( ~ ( incident_c @ SY435 @ SV193 )
| ( incident_c @ SY435 @ SV148 ) )
| ~ ! [SY445: $i] :
( ~ ( incident_c @ SY445 @ SV206 )
| ( incident_c @ SY445 @ SV148 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1034]) ).
thf(1078,plain,
! [SV149: $i,SV165: $i] :
( ( ( ~ ( ( SV165
!= ( sK18_Q @ SV165 @ SV149 ) ) ) )
= $false )
| ( ( end_point @ SV165 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1079,plain,
! [SV149: $i,SV165: $i] :
( ( ( ~ ( end_point @ ( sK18_Q @ SV165 @ SV149 ) @ SV149 ) )
= $false )
| ( ( end_point @ SV165 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1080,plain,
! [SV150: $i,SV166: $i] :
( ( ( ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
| ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) )
= $true )
| ( ( SV150 = SV166 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1081,plain,
! [SV150: $i,SV166: $i] :
( ( ( ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
| ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) )
= $true )
| ( ( SV150 = SV166 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1082,plain,
! [SV180: $i,SV194: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
| ~ ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) )
| ~ ( ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
| ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) ) ) )
= $true )
| ( ( SV180
= ( underlying_curve @ SV194 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1083,plain,
! [SV195: $i,SV181: $i] :
( ( ( ( SV181
!= ( underlying_curve @ SV195 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY437: $i] :
( ~ ( incident_c @ SY437 @ SV181 )
| ( incident_o @ SY437 @ SV195 ) )
| ~ ! [SY438: $i] :
( ~ ( incident_o @ SY438 @ SV195 )
| ( incident_c @ SY438 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1084,plain,
! [SV167: $i,SV151: $i] :
( ( ( ~ ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
| ~ ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) )
= $true )
| ( ( SV151 = SV167 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1040]) ).
thf(1085,plain,
! [SV167: $i,SV151: $i] :
( ( ( ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
| ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) )
= $true )
| ( ( SV151 = SV167 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1041]) ).
thf(1086,plain,
! [SV196: $i,SV182: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV182
!= ( sK14_Q @ SV196 @ SV182 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV196 @ SV182 ) @ SV196 ) )
| ~ ~ ( ordered_by @ SV196 @ SV182 @ ( sK14_Q @ SV196 @ SV182 ) ) )
| ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1087,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1043]) ).
thf(1088,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( start_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1044]) ).
thf(1089,plain,
! [SV183: $i,SV207: $i] :
( ( ( ~ ( end_point @ SV207 @ SV183 ) )
= $true )
| ( ( open @ SV183 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1090,plain,
! [SV184: $i] :
( ( ( open @ SV184 )
= $false )
| ( ( end_point @ ( sK22_P @ SV184 ) @ SV184 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1091,plain,
! [SV168: $i,SV152: $i] :
( ( ( ( SV152
!= ( sum @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) ) )
= $false )
| ( ( inner_point @ SV168 @ SV152 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1092,plain,
! [SV152: $i,SV168: $i] :
( ( ( ~ ( meet @ SV168 @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) )
= $false )
| ( ( inner_point @ SV168 @ SV152 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1047]) ).
thf(1093,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) )
| ~ ( incident_c @ SV185 @ ( sK26_SY108 @ SV197 @ SV185 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) ) ) )
| ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1094,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ 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 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1095,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1050]) ).
thf(1096,plain,
! [SV198: $i,SV186: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV186
!= ( sK13_Q @ SV198 @ SV186 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV198 @ SV186 ) @ SV198 ) )
| ~ ~ ( ordered_by @ SV198 @ ( sK13_Q @ SV198 @ SV186 ) @ SV186 ) )
| ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1097,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ! [SX2: $i] :
( ( SX0 = SX2 )
| ~ ( incident_o @ SX2 @ SX1 )
| ( ordered_by @ SX1 @ SX2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1098,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( finish_point @ SX0 @ SX1 )
| ( incident_o @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1099,plain,
! [SV153: $i] :
( ( ~ ! [SY324: $i] :
( ~ ( incident_c @ SY324 @ ( sK12_C @ SV153 ) )
| ( incident_o @ SY324 @ SV153 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1100,plain,
! [SV153: $i] :
( ( ~ ! [SY325: $i] :
( ~ ( incident_o @ SY325 @ SV153 )
| ( incident_c @ SY325 @ ( sK12_C @ SV153 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1101,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ~ ( ~ ! [SY382: $i,SY383: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY382 @ SY383 )
| ( ordered_by @ SV154 @ SV169 @ SY382 )
| ( ordered_by @ SV154 @ SY383 @ SY382 ) )
| ~ ! [SY384: $i] :
( ! [SY385: $i] :
~ ( between_o @ SV154 @ SV169 @ SY384 @ SY385 )
| ( ordered_by @ SV154 @ SV169 @ SY384 )
| ( ordered_by @ SV154 @ SY384 @ SV169 ) ) )
| ~ ~ ( ~ ! [SY386: $i,SY387: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY387 @ SY386 ) )
| ~ ! [SY388: $i,SY389: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SV169 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1102,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ! [SY390: $i,SY391: $i] :
( ~ ( ordered_by @ SV154 @ SV169 @ SY390 )
| ~ ( ordered_by @ SV154 @ SY390 @ SY391 )
| ( between_o @ SV154 @ SV169 @ SY390 @ SY391 ) )
| ~ ! [SY392: $i,SY393: $i] :
( ~ ( ordered_by @ SV154 @ SY393 @ SY392 )
| ~ ( ordered_by @ SV154 @ SY392 @ SV169 )
| ( between_o @ SV154 @ SV169 @ SY392 @ SY393 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1103,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) ) )
| ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 )
| ( meet @ SV155 @ SV199 @ SV208 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1057]) ).
thf(1104,plain,
! [SV155: $i] :
( ( ~ ! [SY341: $i,SY342: $i] :
( ~ ( meet @ SV155 @ SY341 @ SY342 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY341 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY342 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1105,plain,
! [SV155: $i] :
( ( ~ ~ ( ~ ! [SY345: $i] :
( ! [SY346: $i] :
~ ( meet @ SV155 @ SY345 @ SY346 )
| ( incident_c @ SV155 @ SY345 ) )
| ~ ! [SY347: $i,SY348: $i] :
( ~ ( meet @ SV155 @ SY347 @ SY348 )
| ( incident_c @ SV155 @ SY348 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1058]) ).
thf(1106,plain,
! [SV187: $i] :
( ( ( closed @ SV187 )
= $false )
| ( ( ! [SY427: $i] :
~ ( end_point @ SY427 @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1107,plain,
! [SV200: $i,SV156: $i] :
( ( ( ! [SY440: $i] :
~ ( ordered_by @ SV156 @ SV200 @ SY440 ) )
= $true )
| ( ( incident_o @ SV200 @ SV156 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1108,plain,
! [SV209: $i,SV201: $i,SV156: $i] :
( ( ~ ( ordered_by @ SV156 @ SV201 @ SV209 )
| ( incident_o @ SV209 @ SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1062]) ).
thf(1109,plain,
! [SV202: $i,SV189: $i] :
( ( ( ~ ( incident_c @ SV189 @ SV202 )
| ( end_point @ SV189 @ SV202 ) )
= $true )
| ( ( inner_point @ SV189 @ SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1063]) ).
thf(1110,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ( incident_c @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1111,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( inner_point @ SX0 @ SX1 )
| ~ ( end_point @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1112,plain,
! [SV210: $i,SV157: $i,SV170: $i] :
( ( ! [SY446: $i] :
( ( SV170 = SY446 )
| ! [SY447: $i] :
( ~ ( end_point @ SV170 @ SY447 )
| ~ ( part_of @ SY447 @ SV157 )
| ~ ( end_point @ SY446 @ SY447 )
| ~ ( inner_point @ SV210 @ SY447 ) )
| ( between_c @ SV157 @ SV170 @ SV210 @ SY446 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1066]) ).
thf(1113,plain,
! [SV170: $i,SV157: $i] :
( ( ~ ! [SY397: $i,SY398: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY397 @ SY398 )
| ( SV170 != SY398 ) )
| ~ ! [SY399: $i,SY400: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY399 @ SY400 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SY400 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SY399 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1114,plain,
! [SV176: $i,SV171: $i,SV158: $i] :
( ( ( ( SV158 = SV171 )
| ~ ( open @ SV176 ) )
= $true )
| ( ( ~ ( incident_c @ SV158 @ SV176 ) )
= $true )
| ( ( ~ ( incident_c @ SV171 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1115,plain,
! [SV190: $i,SV203: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV203 )
| ~ ~ ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV190 ) ) )
= $true )
| ( ( part_of @ SV203 @ SV190 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1069]) ).
thf(1116,plain,
! [SV191: $i,SV204: $i] :
( ( ( ~ ( part_of @ SV204 @ SV191 ) )
= $true )
| ( ( ! [SY442: $i] :
( ~ ( incident_c @ SY442 @ SV204 )
| ( incident_c @ SY442 @ SV191 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1117,plain,
! [SV159: $i,SV172: $i,SV211: $i] :
( ( ! [SY448: $i] :
( ! [SY449: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY449 @ SY448 @ SV211 @ SV172 @ SV159 ) @ SY449 )
| ~ ( incident_o @ ( sK11_P @ SY449 @ SY448 @ SV211 @ SV172 @ SV159 ) @ SY448 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY449 @ SY448 @ SV211 @ SV172 @ SV159 ) @ SY449 )
| ( incident_o @ ( sK11_P @ SY449 @ SY448 @ SV211 @ SV172 @ SV159 ) @ SY448 ) ) )
| ~ ( between_c @ SY449 @ SV159 @ SV172 @ SV211 ) )
| ( between_o @ SY448 @ SV159 @ SV172 @ SV211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1071]) ).
thf(1118,plain,
! [SV212: $i,SV172: $i,SV159: $i] :
( ( ! [SY450: $i] :
( ~ ( between_o @ SY450 @ SV159 @ SV172 @ SV212 )
| ~ ( ~ ~ ( ~ ! [SY451: $i] :
( ~ ( incident_c @ SY451 @ ( sK10_C @ SY450 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SY451 @ SY450 ) )
| ~ ! [SY452: $i] :
( ~ ( incident_o @ SY452 @ SY450 )
| ( incident_c @ SY452 @ ( sK10_C @ SY450 @ SV212 @ SV172 @ SV159 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SY450 @ SV212 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SV212 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1119,plain,
! [SV177: $i,SV173: $i,SV142: $i,SV161: $i] :
( ( ( ~ ( part_of @ SV161 @ SV142 )
| ~ ( part_of @ SV173 @ SV142 ) )
= $true )
| ( ( ~ ( part_of @ SV177 @ SV142 ) )
= $true )
| ( ( ! [SY418: $i] :
( ~ ( end_point @ SY418 @ SV161 )
| ~ ( end_point @ SY418 @ SV173 )
| ~ ( end_point @ SY418 @ SV177 ) ) )
= $true )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1073]) ).
thf(1120,plain,
! [SV178: $i,SV174: $i,SV144: $i,SV162: $i] :
( ( ( ~ ( end_point @ SV162 @ SV144 ) )
= $true )
| ( ( ~ ( end_point @ SV174 @ SV144 ) )
= $true )
| ( ( ~ ( end_point @ SV178 @ SV144 ) )
= $true )
| ( ( ( SV174 = SV178 )
| ( SV162 = SV174 )
| ( SV162 = SV178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1121,plain,
! [SV175: $i,SV163: $i,SV145: $i] :
( ( ( closed @ SV145 )
= $false )
| ( ( ! [SY414: $i] :
~ ( meet @ SY414 @ SV163 @ SV175 ) )
= $true )
| ( ( ( SV145
!= ( sum @ SV163 @ SV175 ) ) )
= $true )
| ( ( ! [SY415: $i] :
( ~ ( end_point @ SY415 @ SV163 )
| ( meet @ SY415 @ SV163 @ SV175 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1122,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) ) )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1076]) ).
thf(1123,plain,
! [SV206: $i,SV193: $i,SV148: $i] :
( ( ( ( SV148
!= ( sum @ SV193 @ SV206 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY443: $i] :
( ~ ( incident_c @ SY443 @ SV148 )
| ( incident_c @ SY443 @ SV193 )
| ( incident_c @ SY443 @ SV206 ) )
| ~ ~ ( ~ ! [SY435: $i] :
( ~ ( incident_c @ SY435 @ SV193 )
| ( incident_c @ SY435 @ SV148 ) )
| ~ ! [SY445: $i] :
( ~ ( incident_c @ SY445 @ SV206 )
| ( incident_c @ SY445 @ SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1077]) ).
thf(1124,plain,
! [SV149: $i,SV165: $i] :
( ( ( ( SV165
!= ( sK18_Q @ SV165 @ SV149 ) ) )
= $true )
| ( ( end_point @ SV165 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1125,plain,
! [SV149: $i,SV165: $i] :
( ( ( end_point @ ( sK18_Q @ SV165 @ SV149 ) @ SV149 )
= $true )
| ( ( end_point @ SV165 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1079]) ).
thf(1126,plain,
! [SV150: $i,SV166: $i] :
( ( ( ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 ) )
= $true )
| ( ( ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) )
= $true )
| ( ( SV150 = SV166 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1127,plain,
! [SV150: $i,SV166: $i] :
( ( ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
= $true )
| ( ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 )
= $true )
| ( ( SV150 = SV166 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1128,plain,
! [SV180: $i,SV194: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
| ~ ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) )
| ~ ( ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
| ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) ) )
= $false )
| ( ( SV180
= ( underlying_curve @ SV194 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1129,plain,
! [SV195: $i,SV181: $i] :
( ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false )
| ( ( ~ ( ~ ! [SY437: $i] :
( ~ ( incident_c @ SY437 @ SV181 )
| ( incident_o @ SY437 @ SV195 ) )
| ~ ! [SY438: $i] :
( ~ ( incident_o @ SY438 @ SV195 )
| ( incident_c @ SY438 @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1130,plain,
! [SV167: $i,SV151: $i] :
( ( ( ~ ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) )
= $true )
| ( ( ~ ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) )
= $true )
| ( ( SV151 = SV167 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1084]) ).
thf(1131,plain,
! [SV167: $i,SV151: $i] :
( ( ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
= $true )
| ( ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
= $true )
| ( ( SV151 = SV167 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1085]) ).
thf(1132,plain,
! [SV196: $i,SV182: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV182
!= ( sK14_Q @ SV196 @ SV182 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV196 @ SV182 ) @ SV196 ) )
| ~ ~ ( ordered_by @ SV196 @ SV182 @ ( sK14_Q @ SV196 @ SV182 ) ) ) )
= $true )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1133,plain,
! [SV213: $i] :
( ( ! [SY453: $i] :
( ~ ( start_point @ SV213 @ SY453 )
| ! [SY454: $i] :
( ( SV213 = SY454 )
| ~ ( incident_o @ SY454 @ SY453 )
| ( ordered_by @ SY453 @ SV213 @ SY454 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1134,plain,
! [SV214: $i] :
( ( ! [SY455: $i] :
( ~ ( start_point @ SV214 @ SY455 )
| ( incident_o @ SV214 @ SY455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1135,plain,
! [SV183: $i,SV207: $i] :
( ( ( end_point @ SV207 @ SV183 )
= $false )
| ( ( open @ SV183 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1136,plain,
! [SV168: $i,SV152: $i] :
( ( ( SV152
= ( sum @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) ) )
= $true )
| ( ( inner_point @ SV168 @ SV152 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1091]) ).
thf(1137,plain,
! [SV152: $i,SV168: $i] :
( ( ( meet @ SV168 @ ( sK19_C1 @ SV168 @ SV152 ) @ ( sK20_SY107 @ SV168 @ SV152 ) )
= $true )
| ( ( inner_point @ SV168 @ SV152 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1138,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) )
| ~ ( incident_c @ SV185 @ ( sK26_SY108 @ SV197 @ SV185 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1093]) ).
thf(1139,plain,
! [SV215: $i] :
( ( ! [SY456: $i] :
( ~ ( end_point @ SV215 @ SY456 )
| ! [SY457: $i,SY458: $i] :
( ~ ( part_of @ SY457 @ SY456 )
| ~ ( part_of @ SY458 @ SY456 )
| ~ ( incident_c @ SV215 @ SY457 )
| ~ ( incident_c @ SV215 @ SY458 )
| ( part_of @ SY457 @ SY458 )
| ( part_of @ SY458 @ SY457 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1140,plain,
! [SV216: $i] :
( ( ! [SY459: $i] :
( ~ ( end_point @ SV216 @ SY459 )
| ( incident_c @ SV216 @ SY459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1141,plain,
! [SV198: $i,SV186: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV186
!= ( sK13_Q @ SV198 @ SV186 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV198 @ SV186 ) @ SV198 ) )
| ~ ~ ( ordered_by @ SV198 @ ( sK13_Q @ SV198 @ SV186 ) @ SV186 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1142,plain,
! [SV217: $i] :
( ( ! [SY460: $i] :
( ~ ( finish_point @ SV217 @ SY460 )
| ! [SY461: $i] :
( ( SV217 = SY461 )
| ~ ( incident_o @ SY461 @ SY460 )
| ( ordered_by @ SY460 @ SY461 @ SV217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1143,plain,
! [SV218: $i] :
( ( ! [SY462: $i] :
( ~ ( finish_point @ SV218 @ SY462 )
| ( incident_o @ SV218 @ SY462 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1144,plain,
! [SV153: $i] :
( ( ! [SY324: $i] :
( ~ ( incident_c @ SY324 @ ( sK12_C @ SV153 ) )
| ( incident_o @ SY324 @ SV153 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1145,plain,
! [SV153: $i] :
( ( ! [SY325: $i] :
( ~ ( incident_o @ SY325 @ SV153 )
| ( incident_c @ SY325 @ ( sK12_C @ SV153 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1100]) ).
thf(1146,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ~ ( ~ ! [SY382: $i,SY383: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY382 @ SY383 )
| ( ordered_by @ SV154 @ SV169 @ SY382 )
| ( ordered_by @ SV154 @ SY383 @ SY382 ) )
| ~ ! [SY384: $i] :
( ! [SY385: $i] :
~ ( between_o @ SV154 @ SV169 @ SY384 @ SY385 )
| ( ordered_by @ SV154 @ SV169 @ SY384 )
| ( ordered_by @ SV154 @ SY384 @ SV169 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1147,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ~ ( ~ ! [SY386: $i,SY387: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY387 @ SY386 ) )
| ~ ! [SY388: $i,SY389: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SV169 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1148,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ! [SY390: $i,SY391: $i] :
( ~ ( ordered_by @ SV154 @ SV169 @ SY390 )
| ~ ( ordered_by @ SV154 @ SY390 @ SY391 )
| ( between_o @ SV154 @ SV169 @ SY390 @ SY391 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1102]) ).
thf(1149,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ! [SY392: $i,SY393: $i] :
( ~ ( ordered_by @ SV154 @ SY393 @ SY392 )
| ~ ( ordered_by @ SV154 @ SY392 @ SV169 )
| ( between_o @ SV154 @ SV169 @ SY392 @ SY393 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1102]) ).
thf(1150,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) ) )
| ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1103]) ).
thf(1151,plain,
! [SV155: $i] :
( ( ! [SY341: $i,SY342: $i] :
( ~ ( meet @ SV155 @ SY341 @ SY342 )
| ~ ( ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY341 ) )
| ~ ! [SX3: $i] :
( ~ ( incident_c @ SX3 @ SY341 )
| ~ ( incident_c @ SX3 @ SY342 )
| ( end_point @ SX3 @ SY342 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1104]) ).
thf(1152,plain,
! [SV155: $i] :
( ( ~ ( ~ ! [SY345: $i] :
( ! [SY346: $i] :
~ ( meet @ SV155 @ SY345 @ SY346 )
| ( incident_c @ SV155 @ SY345 ) )
| ~ ! [SY347: $i,SY348: $i] :
( ~ ( meet @ SV155 @ SY347 @ SY348 )
| ( incident_c @ SV155 @ SY348 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1105]) ).
thf(1153,plain,
! [SV187: $i,SV219: $i] :
( ( ( ~ ( end_point @ SV219 @ SV187 ) )
= $true )
| ( ( closed @ SV187 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1154,plain,
! [SV220: $i,SV200: $i,SV156: $i] :
( ( ( ~ ( ordered_by @ SV156 @ SV200 @ SV220 ) )
= $true )
| ( ( incident_o @ SV200 @ SV156 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1107]) ).
thf(1155,plain,
! [SV209: $i,SV201: $i,SV156: $i] :
( ( ( ~ ( ordered_by @ SV156 @ SV201 @ SV209 ) )
= $true )
| ( ( incident_o @ SV209 @ SV156 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1108]) ).
thf(1156,plain,
! [SV202: $i,SV189: $i] :
( ( ( ~ ( incident_c @ SV189 @ SV202 ) )
= $true )
| ( ( end_point @ SV189 @ SV202 )
= $true )
| ( ( inner_point @ SV189 @ SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1109]) ).
thf(1157,plain,
! [SV221: $i] :
( ( ! [SY463: $i] :
( ~ ( inner_point @ SV221 @ SY463 )
| ( incident_c @ SV221 @ SY463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1110]) ).
thf(1158,plain,
! [SV222: $i] :
( ( ! [SY464: $i] :
( ~ ( inner_point @ SV222 @ SY464 )
| ~ ( end_point @ SV222 @ SY464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1111]) ).
thf(1159,plain,
! [SV210: $i,SV157: $i,SV223: $i,SV170: $i] :
( ( ( SV170 = SV223 )
| ! [SY465: $i] :
( ~ ( end_point @ SV170 @ SY465 )
| ~ ( part_of @ SY465 @ SV157 )
| ~ ( end_point @ SV223 @ SY465 )
| ~ ( inner_point @ SV210 @ SY465 ) )
| ( between_c @ SV157 @ SV170 @ SV210 @ SV223 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1160,plain,
! [SV170: $i,SV157: $i] :
( ( ~ ! [SY397: $i,SY398: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY397 @ SY398 )
| ( SV170 != SY398 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1161,plain,
! [SV170: $i,SV157: $i] :
( ( ~ ! [SY399: $i,SY400: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY399 @ SY400 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SY400 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SY399 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1162,plain,
! [SV176: $i,SV171: $i,SV158: $i] :
( ( ( SV158 = SV171 )
= $true )
| ( ( ~ ( open @ SV176 ) )
= $true )
| ( ( ~ ( incident_c @ SV158 @ SV176 ) )
= $true )
| ( ( ~ ( incident_c @ SV171 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1114]) ).
thf(1163,plain,
! [SV190: $i,SV203: $i] :
( ( ( ~ ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV203 )
| ~ ~ ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV190 ) )
= $false )
| ( ( part_of @ SV203 @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1164,plain,
! [SV191: $i,SV204: $i] :
( ( ( part_of @ SV204 @ SV191 )
= $false )
| ( ( ! [SY442: $i] :
( ~ ( incident_c @ SY442 @ SV204 )
| ( incident_c @ SY442 @ SV191 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1165,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i] :
( ( ! [SY466: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY466 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SY466 )
| ~ ( incident_o @ ( sK11_P @ SY466 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY466 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SY466 )
| ( incident_o @ ( sK11_P @ SY466 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) ) )
| ~ ( between_c @ SY466 @ SV159 @ SV172 @ SV211 ) )
| ( between_o @ SV224 @ SV159 @ SV172 @ SV211 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1117]) ).
thf(1166,plain,
! [SV212: $i,SV172: $i,SV159: $i,SV225: $i] :
( ( ~ ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
| ~ ( ~ ~ ( ~ ! [SY467: $i] :
( ~ ( incident_c @ SY467 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SY467 @ SV225 ) )
| ~ ! [SY468: $i] :
( ~ ( incident_o @ SY468 @ SV225 )
| ( incident_c @ SY468 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SV212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1118]) ).
thf(1167,plain,
! [SV177: $i,SV173: $i,SV142: $i,SV161: $i] :
( ( ( ~ ( part_of @ SV161 @ SV142 ) )
= $true )
| ( ( ~ ( part_of @ SV173 @ SV142 ) )
= $true )
| ( ( ~ ( part_of @ SV177 @ SV142 ) )
= $true )
| ( ( ! [SY418: $i] :
( ~ ( end_point @ SY418 @ SV161 )
| ~ ( end_point @ SY418 @ SV173 )
| ~ ( end_point @ SY418 @ SV177 ) ) )
= $true )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1119]) ).
thf(1168,plain,
! [SV178: $i,SV174: $i,SV144: $i,SV162: $i] :
( ( ( end_point @ SV162 @ SV144 )
= $false )
| ( ( ~ ( end_point @ SV174 @ SV144 ) )
= $true )
| ( ( ~ ( end_point @ SV178 @ SV144 ) )
= $true )
| ( ( ( SV174 = SV178 )
| ( SV162 = SV174 )
| ( SV162 = SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1169,plain,
! [SV145: $i,SV175: $i,SV163: $i,SV226: $i] :
( ( ( ~ ( meet @ SV226 @ SV163 @ SV175 ) )
= $true )
| ( ( closed @ SV145 )
= $false )
| ( ( ( SV145
!= ( sum @ SV163 @ SV175 ) ) )
= $true )
| ( ( ! [SY415: $i] :
( ~ ( end_point @ SY415 @ SV163 )
| ( meet @ SY415 @ SV163 @ SV175 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1170,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) )
| ~ ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) )
= $false )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1171,plain,
! [SV206: $i,SV193: $i,SV148: $i] :
( ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false )
| ( ( ~ ( ~ ! [SY443: $i] :
( ~ ( incident_c @ SY443 @ SV148 )
| ( incident_c @ SY443 @ SV193 )
| ( incident_c @ SY443 @ SV206 ) )
| ~ ~ ( ~ ! [SY435: $i] :
( ~ ( incident_c @ SY435 @ SV193 )
| ( incident_c @ SY435 @ SV148 ) )
| ~ ! [SY445: $i] :
( ~ ( incident_c @ SY445 @ SV206 )
| ( incident_c @ SY445 @ SV148 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1172,plain,
! [SV149: $i,SV165: $i] :
( ( ( SV165
= ( sK18_Q @ SV165 @ SV149 ) )
= $false )
| ( ( end_point @ SV165 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1173,plain,
! [SV150: $i,SV166: $i] :
( ( ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
= $false )
| ( ( ~ ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 ) )
= $true )
| ( ( SV150 = SV166 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1174,plain,
! [SV180: $i,SV194: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
| ~ ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) ) )
= $false )
| ( ( SV180
= ( underlying_curve @ SV194 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1175,plain,
! [SV180: $i,SV194: $i] :
( ( ( ~ ( ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
| ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) ) )
= $false )
| ( ( SV180
= ( underlying_curve @ SV194 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1128]) ).
thf(1176,plain,
! [SV195: $i,SV181: $i] :
( ( ( ~ ! [SY437: $i] :
( ~ ( incident_c @ SY437 @ SV181 )
| ( incident_o @ SY437 @ SV195 ) )
| ~ ! [SY438: $i] :
( ~ ( incident_o @ SY438 @ SV195 )
| ( incident_c @ SY438 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1177,plain,
! [SV167: $i,SV151: $i] :
( ( ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
= $false )
| ( ( ~ ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) ) )
= $true )
| ( ( SV151 = SV167 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1178,plain,
! [SV196: $i,SV182: $i] :
( ( ( ~ ~ ( ~ ( ( SV182
!= ( sK14_Q @ SV196 @ SV182 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV196 @ SV182 ) @ SV196 ) )
| ~ ~ ( ordered_by @ SV196 @ SV182 @ ( sK14_Q @ SV196 @ SV182 ) ) )
= $false )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1179,plain,
! [SV227: $i,SV213: $i] :
( ( ~ ( start_point @ SV213 @ SV227 )
| ! [SY469: $i] :
( ( SV213 = SY469 )
| ~ ( incident_o @ SY469 @ SV227 )
| ( ordered_by @ SV227 @ SV213 @ SY469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1180,plain,
! [SV228: $i,SV214: $i] :
( ( ~ ( start_point @ SV214 @ SV228 )
| ( incident_o @ SV214 @ SV228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1181,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) )
| ~ ( incident_c @ SV185 @ ( sK26_SY108 @ SV197 @ SV185 ) ) )
| ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1182,plain,
! [SV229: $i,SV215: $i] :
( ( ~ ( end_point @ SV215 @ SV229 )
| ! [SY470: $i,SY471: $i] :
( ~ ( part_of @ SY470 @ SV229 )
| ~ ( part_of @ SY471 @ SV229 )
| ~ ( incident_c @ SV215 @ SY470 )
| ~ ( incident_c @ SV215 @ SY471 )
| ( part_of @ SY470 @ SY471 )
| ( part_of @ SY471 @ SY470 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1183,plain,
! [SV230: $i,SV216: $i] :
( ( ~ ( end_point @ SV216 @ SV230 )
| ( incident_c @ SV216 @ SV230 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1184,plain,
! [SV198: $i,SV186: $i] :
( ( ( ~ ~ ( ~ ( ( SV186
!= ( sK13_Q @ SV198 @ SV186 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV198 @ SV186 ) @ SV198 ) )
| ~ ~ ( ordered_by @ SV198 @ ( sK13_Q @ SV198 @ SV186 ) @ SV186 ) )
= $false )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1185,plain,
! [SV231: $i,SV217: $i] :
( ( ~ ( finish_point @ SV217 @ SV231 )
| ! [SY472: $i] :
( ( SV217 = SY472 )
| ~ ( incident_o @ SY472 @ SV231 )
| ( ordered_by @ SV231 @ SY472 @ SV217 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1186,plain,
! [SV232: $i,SV218: $i] :
( ( ~ ( finish_point @ SV218 @ SV232 )
| ( incident_o @ SV218 @ SV232 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1187,plain,
! [SV153: $i,SV233: $i] :
( ( ~ ( incident_c @ SV233 @ ( sK12_C @ SV153 ) )
| ( incident_o @ SV233 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1188,plain,
! [SV153: $i,SV234: $i] :
( ( ~ ( incident_o @ SV234 @ SV153 )
| ( incident_c @ SV234 @ ( sK12_C @ SV153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1189,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ( ~ ! [SY382: $i,SY383: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY382 @ SY383 )
| ( ordered_by @ SV154 @ SV169 @ SY382 )
| ( ordered_by @ SV154 @ SY383 @ SY382 ) )
| ~ ! [SY384: $i] :
( ! [SY385: $i] :
~ ( between_o @ SV154 @ SV169 @ SY384 @ SY385 )
| ( ordered_by @ SV154 @ SV169 @ SY384 )
| ( ordered_by @ SV154 @ SY384 @ SV169 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1190,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ( ~ ! [SY386: $i,SY387: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY387 @ SY386 ) )
| ~ ! [SY388: $i,SY389: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SV169 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1191,plain,
! [SV169: $i,SV154: $i] :
( ( ! [SY390: $i,SY391: $i] :
( ~ ( ordered_by @ SV154 @ SV169 @ SY390 )
| ~ ( ordered_by @ SV154 @ SY390 @ SY391 )
| ( between_o @ SV154 @ SV169 @ SY390 @ SY391 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1192,plain,
! [SV169: $i,SV154: $i] :
( ( ! [SY392: $i,SY393: $i] :
( ~ ( ordered_by @ SV154 @ SY393 @ SY392 )
| ~ ( ordered_by @ SV154 @ SY392 @ SV169 )
| ( between_o @ SV154 @ SV169 @ SY392 @ SY393 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1193,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1150]) ).
thf(1194,plain,
! [SV235: $i,SV155: $i] :
( ( ! [SY473: $i] :
( ~ ( meet @ SV155 @ SV235 @ SY473 )
| ~ ( ~ ! [SY474: $i] :
( ~ ( incident_c @ SY474 @ SV235 )
| ~ ( incident_c @ SY474 @ SY473 )
| ( end_point @ SY474 @ SV235 ) )
| ~ ! [SY475: $i] :
( ~ ( incident_c @ SY475 @ SV235 )
| ~ ( incident_c @ SY475 @ SY473 )
| ( end_point @ SY475 @ SY473 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1195,plain,
! [SV155: $i] :
( ( ~ ! [SY345: $i] :
( ! [SY346: $i] :
~ ( meet @ SV155 @ SY345 @ SY346 )
| ( incident_c @ SV155 @ SY345 ) )
| ~ ! [SY347: $i,SY348: $i] :
( ~ ( meet @ SV155 @ SY347 @ SY348 )
| ( incident_c @ SV155 @ SY348 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1196,plain,
! [SV187: $i,SV219: $i] :
( ( ( end_point @ SV219 @ SV187 )
= $false )
| ( ( closed @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1197,plain,
! [SV220: $i,SV200: $i,SV156: $i] :
( ( ( ordered_by @ SV156 @ SV200 @ SV220 )
= $false )
| ( ( incident_o @ SV200 @ SV156 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1198,plain,
! [SV209: $i,SV201: $i,SV156: $i] :
( ( ( ordered_by @ SV156 @ SV201 @ SV209 )
= $false )
| ( ( incident_o @ SV209 @ SV156 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1199,plain,
! [SV202: $i,SV189: $i] :
( ( ( incident_c @ SV189 @ SV202 )
= $false )
| ( ( end_point @ SV189 @ SV202 )
= $true )
| ( ( inner_point @ SV189 @ SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1200,plain,
! [SV236: $i,SV221: $i] :
( ( ~ ( inner_point @ SV221 @ SV236 )
| ( incident_c @ SV221 @ SV236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1201,plain,
! [SV237: $i,SV222: $i] :
( ( ~ ( inner_point @ SV222 @ SV237 )
| ~ ( end_point @ SV222 @ SV237 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1202,plain,
! [SV210: $i,SV157: $i,SV223: $i,SV170: $i] :
( ( ( ( SV170 = SV223 )
| ! [SY465: $i] :
( ~ ( end_point @ SV170 @ SY465 )
| ~ ( part_of @ SY465 @ SV157 )
| ~ ( end_point @ SV223 @ SY465 )
| ~ ( inner_point @ SV210 @ SY465 ) ) )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV210 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1159]) ).
thf(1203,plain,
! [SV170: $i,SV157: $i] :
( ( ! [SY397: $i,SY398: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY397 @ SY398 )
| ( SV170 != SY398 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1204,plain,
! [SV170: $i,SV157: $i] :
( ( ! [SY399: $i,SY400: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SY399 @ SY400 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SY400 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SY399 @ ( sK15_Cpp @ SY400 @ SY399 @ SV170 @ SV157 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1205,plain,
! [SV171: $i,SV158: $i,SV176: $i] :
( ( ( open @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( ~ ( incident_c @ SV158 @ SV176 ) )
= $true )
| ( ( ~ ( incident_c @ SV171 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1206,plain,
! [SV190: $i,SV203: $i] :
( ( ( ~ ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV203 ) )
= $false )
| ( ( part_of @ SV203 @ SV190 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1207,plain,
! [SV190: $i,SV203: $i] :
( ( ( ~ ~ ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV190 ) )
= $false )
| ( ( part_of @ SV203 @ SV190 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1163]) ).
thf(1208,plain,
! [SV191: $i,SV204: $i,SV238: $i] :
( ( ( ~ ( incident_c @ SV238 @ SV204 )
| ( incident_c @ SV238 @ SV191 ) )
= $true )
| ( ( part_of @ SV204 @ SV191 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1209,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i] :
( ( ( ! [SY466: $i] :
( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SY466 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SY466 )
| ~ ( incident_o @ ( sK11_P @ SY466 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) )
| ~ ( ( incident_c @ ( sK11_P @ SY466 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SY466 )
| ( incident_o @ ( sK11_P @ SY466 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) ) )
| ~ ( between_c @ SY466 @ SV159 @ SV172 @ SV211 ) ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1165]) ).
thf(1210,plain,
! [SV212: $i,SV172: $i,SV159: $i,SV225: $i] :
( ( ( ~ ( between_o @ SV225 @ SV159 @ SV172 @ SV212 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY467: $i] :
( ~ ( incident_c @ SY467 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SY467 @ SV225 ) )
| ~ ! [SY468: $i] :
( ~ ( incident_o @ SY468 @ SV225 )
| ( incident_c @ SY468 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SV212 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1166]) ).
thf(1211,plain,
! [SV177: $i,SV173: $i,SV142: $i,SV161: $i] :
( ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( ~ ( part_of @ SV173 @ SV142 ) )
= $true )
| ( ( ~ ( part_of @ SV177 @ SV142 ) )
= $true )
| ( ( ! [SY418: $i] :
( ~ ( end_point @ SY418 @ SV161 )
| ~ ( end_point @ SY418 @ SV173 )
| ~ ( end_point @ SY418 @ SV177 ) ) )
= $true )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1212,plain,
! [SV178: $i,SV162: $i,SV144: $i,SV174: $i] :
( ( ( end_point @ SV174 @ SV144 )
= $false )
| ( ( end_point @ SV162 @ SV144 )
= $false )
| ( ( ~ ( end_point @ SV178 @ SV144 ) )
= $true )
| ( ( ( SV174 = SV178 )
| ( SV162 = SV174 )
| ( SV162 = SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1213,plain,
! [SV145: $i,SV175: $i,SV163: $i,SV226: $i] :
( ( ( meet @ SV226 @ SV163 @ SV175 )
= $false )
| ( ( closed @ SV145 )
= $false )
| ( ( ( SV145
!= ( sum @ SV163 @ SV175 ) ) )
= $true )
| ( ( ! [SY415: $i] :
( ~ ( end_point @ SY415 @ SV163 )
| ( meet @ SY415 @ SV163 @ SV175 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1214,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) ) )
= $false )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1215,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) )
= $false )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1216,plain,
! [SV206: $i,SV193: $i,SV148: $i] :
( ( ( ~ ! [SY443: $i] :
( ~ ( incident_c @ SY443 @ SV148 )
| ( incident_c @ SY443 @ SV193 )
| ( incident_c @ SY443 @ SV206 ) )
| ~ ~ ( ~ ! [SY435: $i] :
( ~ ( incident_c @ SY435 @ SV193 )
| ( incident_c @ SY435 @ SV148 ) )
| ~ ! [SY445: $i] :
( ~ ( incident_c @ SY445 @ SV206 )
| ( incident_c @ SY445 @ SV148 ) ) ) )
= $false )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1217,plain,
! [SV150: $i,SV166: $i] :
( ( ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV166 )
= $false )
| ( ( incident_c @ ( sK16_P @ SV166 @ SV150 ) @ SV150 )
= $false )
| ( ( SV150 = SV166 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1218,plain,
! [SV180: $i,SV194: $i] :
( ( ( ~ ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
| ~ ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) )
= $true )
| ( ( SV180
= ( underlying_curve @ SV194 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1219,plain,
! [SV180: $i,SV194: $i] :
( ( ( ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
| ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) )
= $true )
| ( ( SV180
= ( underlying_curve @ SV194 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1220,plain,
! [SV195: $i,SV181: $i] :
( ( ( ~ ! [SY437: $i] :
( ~ ( incident_c @ SY437 @ SV181 )
| ( incident_o @ SY437 @ SV195 ) ) )
= $false )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1221,plain,
! [SV181: $i,SV195: $i] :
( ( ( ~ ! [SY438: $i] :
( ~ ( incident_o @ SY438 @ SV195 )
| ( incident_c @ SY438 @ SV181 ) ) )
= $false )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1176]) ).
thf(1222,plain,
! [SV151: $i,SV167: $i] :
( ( ( ordered_by @ SV167 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
= $false )
| ( ( ordered_by @ SV151 @ ( sK6_P @ SV167 @ SV151 ) @ ( sK7_SY100 @ SV167 @ SV151 ) )
= $false )
| ( ( SV151 = SV167 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1223,plain,
! [SV196: $i,SV182: $i] :
( ( ( ~ ~ ( ~ ( ( SV182
!= ( sK14_Q @ SV196 @ SV182 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV196 @ SV182 ) @ SV196 ) ) )
= $false )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1178]) ).
thf(1224,plain,
! [SV182: $i,SV196: $i] :
( ( ( ~ ~ ( ordered_by @ SV196 @ SV182 @ ( sK14_Q @ SV196 @ SV182 ) ) )
= $false )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1178]) ).
thf(1225,plain,
! [SV227: $i,SV213: $i] :
( ( ( ~ ( start_point @ SV213 @ SV227 ) )
= $true )
| ( ( ! [SY469: $i] :
( ( SV213 = SY469 )
| ~ ( incident_o @ SY469 @ SV227 )
| ( ordered_by @ SV227 @ SV213 @ SY469 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1179]) ).
thf(1226,plain,
! [SV228: $i,SV214: $i] :
( ( ( ~ ( start_point @ SV214 @ SV228 ) )
= $true )
| ( ( incident_o @ SV214 @ SV228 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1227,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) )
| ~ ( incident_c @ SV185 @ ( sK26_SY108 @ SV197 @ SV185 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1228,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1229,plain,
! [SV229: $i,SV215: $i] :
( ( ( ~ ( end_point @ SV215 @ SV229 ) )
= $true )
| ( ( ! [SY470: $i,SY471: $i] :
( ~ ( part_of @ SY470 @ SV229 )
| ~ ( part_of @ SY471 @ SV229 )
| ~ ( incident_c @ SV215 @ SY470 )
| ~ ( incident_c @ SV215 @ SY471 )
| ( part_of @ SY470 @ SY471 )
| ( part_of @ SY471 @ SY470 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1230,plain,
! [SV230: $i,SV216: $i] :
( ( ( ~ ( end_point @ SV216 @ SV230 ) )
= $true )
| ( ( incident_c @ SV216 @ SV230 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1183]) ).
thf(1231,plain,
! [SV198: $i,SV186: $i] :
( ( ( ~ ~ ( ~ ( ( SV186
!= ( sK13_Q @ SV198 @ SV186 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV198 @ SV186 ) @ SV198 ) ) )
= $false )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1232,plain,
! [SV186: $i,SV198: $i] :
( ( ( ~ ~ ( ordered_by @ SV198 @ ( sK13_Q @ SV198 @ SV186 ) @ SV186 ) )
= $false )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1233,plain,
! [SV231: $i,SV217: $i] :
( ( ( ~ ( finish_point @ SV217 @ SV231 ) )
= $true )
| ( ( ! [SY472: $i] :
( ( SV217 = SY472 )
| ~ ( incident_o @ SY472 @ SV231 )
| ( ordered_by @ SV231 @ SY472 @ SV217 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1234,plain,
! [SV232: $i,SV218: $i] :
( ( ( ~ ( finish_point @ SV218 @ SV232 ) )
= $true )
| ( ( incident_o @ SV218 @ SV232 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1235,plain,
! [SV153: $i,SV233: $i] :
( ( ( ~ ( incident_c @ SV233 @ ( sK12_C @ SV153 ) ) )
= $true )
| ( ( incident_o @ SV233 @ SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1187]) ).
thf(1236,plain,
! [SV153: $i,SV234: $i] :
( ( ( ~ ( incident_o @ SV234 @ SV153 ) )
= $true )
| ( ( incident_c @ SV234 @ ( sK12_C @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1188]) ).
thf(1237,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ! [SY382: $i,SY383: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY382 @ SY383 )
| ( ordered_by @ SV154 @ SV169 @ SY382 )
| ( ordered_by @ SV154 @ SY383 @ SY382 ) )
| ~ ! [SY384: $i] :
( ! [SY385: $i] :
~ ( between_o @ SV154 @ SV169 @ SY384 @ SY385 )
| ( ordered_by @ SV154 @ SV169 @ SY384 )
| ( ordered_by @ SV154 @ SY384 @ SV169 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1238,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ! [SY386: $i,SY387: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY387 @ SY386 ) )
| ~ ! [SY388: $i,SY389: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SV169 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1239,plain,
! [SV239: $i,SV169: $i,SV154: $i] :
( ( ! [SY476: $i] :
( ~ ( ordered_by @ SV154 @ SV169 @ SV239 )
| ~ ( ordered_by @ SV154 @ SV239 @ SY476 )
| ( between_o @ SV154 @ SV169 @ SV239 @ SY476 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1191]) ).
thf(1240,plain,
! [SV169: $i,SV240: $i,SV154: $i] :
( ( ! [SY477: $i] :
( ~ ( ordered_by @ SV154 @ SY477 @ SV240 )
| ~ ( ordered_by @ SV154 @ SV240 @ SV169 )
| ( between_o @ SV154 @ SV169 @ SV240 @ SY477 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1192]) ).
thf(1241,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) )
| ~ ( ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1242,plain,
! [SV241: $i,SV235: $i,SV155: $i] :
( ( ~ ( meet @ SV155 @ SV235 @ SV241 )
| ~ ( ~ ! [SY478: $i] :
( ~ ( incident_c @ SY478 @ SV235 )
| ~ ( incident_c @ SY478 @ SV241 )
| ( end_point @ SY478 @ SV235 ) )
| ~ ! [SY479: $i] :
( ~ ( incident_c @ SY479 @ SV235 )
| ~ ( incident_c @ SY479 @ SV241 )
| ( end_point @ SY479 @ SV241 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1243,plain,
! [SV155: $i] :
( ( ~ ! [SY345: $i] :
( ! [SY346: $i] :
~ ( meet @ SV155 @ SY345 @ SY346 )
| ( incident_c @ SV155 @ SY345 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1195]) ).
thf(1244,plain,
! [SV155: $i] :
( ( ~ ! [SY347: $i,SY348: $i] :
( ~ ( meet @ SV155 @ SY347 @ SY348 )
| ( incident_c @ SV155 @ SY348 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1195]) ).
thf(1245,plain,
! [SV236: $i,SV221: $i] :
( ( ( ~ ( inner_point @ SV221 @ SV236 ) )
= $true )
| ( ( incident_c @ SV221 @ SV236 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1246,plain,
! [SV237: $i,SV222: $i] :
( ( ( ~ ( inner_point @ SV222 @ SV237 ) )
= $true )
| ( ( ~ ( end_point @ SV222 @ SV237 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1201]) ).
thf(1247,plain,
! [SV210: $i,SV157: $i,SV223: $i,SV170: $i] :
( ( ( SV170 = SV223 )
= $true )
| ( ( ! [SY465: $i] :
( ~ ( end_point @ SV170 @ SY465 )
| ~ ( part_of @ SY465 @ SV157 )
| ~ ( end_point @ SV223 @ SY465 )
| ~ ( inner_point @ SV210 @ SY465 ) ) )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV210 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1202]) ).
thf(1248,plain,
! [SV242: $i,SV170: $i,SV157: $i] :
( ( ! [SY480: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SV242 @ SY480 )
| ( SV170 != SY480 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1249,plain,
! [SV243: $i,SV170: $i,SV157: $i] :
( ( ! [SY481: $i] :
( ~ ( between_c @ SV157 @ SV170 @ SV243 @ SY481 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SY481 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SY481 @ SV243 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SY481 @ ( sK15_Cpp @ SY481 @ SV243 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SV243 @ ( sK15_Cpp @ SY481 @ SV243 @ SV170 @ SV157 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1250,plain,
! [SV171: $i,SV176: $i,SV158: $i] :
( ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( ~ ( incident_c @ SV171 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1251,plain,
! [SV190: $i,SV203: $i] :
( ( ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV203 )
= $true )
| ( ( part_of @ SV203 @ SV190 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1252,plain,
! [SV190: $i,SV203: $i] :
( ( ( ~ ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV190 ) )
= $true )
| ( ( part_of @ SV203 @ SV190 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1253,plain,
! [SV191: $i,SV204: $i,SV238: $i] :
( ( ( ~ ( incident_c @ SV238 @ SV204 ) )
= $true )
| ( ( incident_c @ SV238 @ SV191 )
= $true )
| ( ( part_of @ SV204 @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1254,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
| ~ ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) )
| ~ ( ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
| ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) ) )
| ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1209]) ).
thf(1255,plain,
! [SV212: $i,SV172: $i,SV159: $i,SV225: $i] :
( ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY467: $i] :
( ~ ( incident_c @ SY467 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SY467 @ SV225 ) )
| ~ ! [SY468: $i] :
( ~ ( incident_o @ SY468 @ SV225 )
| ( incident_c @ SY468 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SV212 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1256,plain,
! [SV177: $i,SV161: $i,SV142: $i,SV173: $i] :
( ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( ~ ( part_of @ SV177 @ SV142 ) )
= $true )
| ( ( ! [SY418: $i] :
( ~ ( end_point @ SY418 @ SV161 )
| ~ ( end_point @ SY418 @ SV173 )
| ~ ( end_point @ SY418 @ SV177 ) ) )
= $true )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1257,plain,
! [SV174: $i,SV162: $i,SV144: $i,SV178: $i] :
( ( ( end_point @ SV178 @ SV144 )
= $false )
| ( ( end_point @ SV162 @ SV144 )
= $false )
| ( ( end_point @ SV174 @ SV144 )
= $false )
| ( ( ( SV174 = SV178 )
| ( SV162 = SV174 )
| ( SV162 = SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1258,plain,
! [SV226: $i,SV175: $i,SV163: $i,SV145: $i] :
( ( ( SV145
= ( sum @ SV163 @ SV175 ) )
= $false )
| ( ( closed @ SV145 )
= $false )
| ( ( meet @ SV226 @ SV163 @ SV175 )
= $false )
| ( ( ! [SY415: $i] :
( ~ ( end_point @ SY415 @ SV163 )
| ( meet @ SY415 @ SV163 @ SV175 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1259,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) ) )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1214]) ).
thf(1260,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1215]) ).
thf(1261,plain,
! [SV206: $i,SV193: $i,SV148: $i] :
( ( ( ~ ! [SY443: $i] :
( ~ ( incident_c @ SY443 @ SV148 )
| ( incident_c @ SY443 @ SV193 )
| ( incident_c @ SY443 @ SV206 ) ) )
= $false )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1262,plain,
! [SV206: $i,SV148: $i,SV193: $i] :
( ( ( ~ ~ ( ~ ! [SY435: $i] :
( ~ ( incident_c @ SY435 @ SV193 )
| ( incident_c @ SY435 @ SV148 ) )
| ~ ! [SY445: $i] :
( ~ ( incident_c @ SY445 @ SV206 )
| ( incident_c @ SY445 @ SV148 ) ) ) )
= $false )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1263,plain,
! [SV180: $i,SV194: $i] :
( ( ( ~ ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 ) )
= $true )
| ( ( ~ ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) )
= $true )
| ( ( SV180
= ( underlying_curve @ SV194 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1218]) ).
thf(1264,plain,
! [SV180: $i,SV194: $i] :
( ( ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
= $true )
| ( ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 )
= $true )
| ( ( SV180
= ( underlying_curve @ SV194 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1265,plain,
! [SV195: $i,SV181: $i] :
( ( ( ! [SY437: $i] :
( ~ ( incident_c @ SY437 @ SV181 )
| ( incident_o @ SY437 @ SV195 ) ) )
= $true )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1220]) ).
thf(1266,plain,
! [SV181: $i,SV195: $i] :
( ( ( ! [SY438: $i] :
( ~ ( incident_o @ SY438 @ SV195 )
| ( incident_c @ SY438 @ SV181 ) ) )
= $true )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1267,plain,
! [SV196: $i,SV182: $i] :
( ( ( ~ ( ~ ( ( SV182
!= ( sK14_Q @ SV196 @ SV182 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV196 @ SV182 ) @ SV196 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1268,plain,
! [SV182: $i,SV196: $i] :
( ( ( ~ ( ordered_by @ SV196 @ SV182 @ ( sK14_Q @ SV196 @ SV182 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1269,plain,
! [SV227: $i,SV213: $i] :
( ( ( start_point @ SV213 @ SV227 )
= $false )
| ( ( ! [SY469: $i] :
( ( SV213 = SY469 )
| ~ ( incident_o @ SY469 @ SV227 )
| ( ordered_by @ SV227 @ SV213 @ SY469 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1270,plain,
! [SV228: $i,SV214: $i] :
( ( ( start_point @ SV214 @ SV228 )
= $false )
| ( ( incident_o @ SV214 @ SV228 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1271,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) )
| ~ ( incident_c @ SV185 @ ( sK26_SY108 @ SV197 @ SV185 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1272,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( ~ ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1228]) ).
thf(1273,plain,
! [SV229: $i,SV215: $i] :
( ( ( end_point @ SV215 @ SV229 )
= $false )
| ( ( ! [SY470: $i,SY471: $i] :
( ~ ( part_of @ SY470 @ SV229 )
| ~ ( part_of @ SY471 @ SV229 )
| ~ ( incident_c @ SV215 @ SY470 )
| ~ ( incident_c @ SV215 @ SY471 )
| ( part_of @ SY470 @ SY471 )
| ( part_of @ SY471 @ SY470 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1274,plain,
! [SV230: $i,SV216: $i] :
( ( ( end_point @ SV216 @ SV230 )
= $false )
| ( ( incident_c @ SV216 @ SV230 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1275,plain,
! [SV198: $i,SV186: $i] :
( ( ( ~ ( ~ ( ( SV186
!= ( sK13_Q @ SV198 @ SV186 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV198 @ SV186 ) @ SV198 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1276,plain,
! [SV186: $i,SV198: $i] :
( ( ( ~ ( ordered_by @ SV198 @ ( sK13_Q @ SV198 @ SV186 ) @ SV186 ) )
= $true )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1277,plain,
! [SV231: $i,SV217: $i] :
( ( ( finish_point @ SV217 @ SV231 )
= $false )
| ( ( ! [SY472: $i] :
( ( SV217 = SY472 )
| ~ ( incident_o @ SY472 @ SV231 )
| ( ordered_by @ SV231 @ SY472 @ SV217 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1278,plain,
! [SV232: $i,SV218: $i] :
( ( ( finish_point @ SV218 @ SV232 )
= $false )
| ( ( incident_o @ SV218 @ SV232 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1279,plain,
! [SV153: $i,SV233: $i] :
( ( ( incident_c @ SV233 @ ( sK12_C @ SV153 ) )
= $false )
| ( ( incident_o @ SV233 @ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1280,plain,
! [SV153: $i,SV234: $i] :
( ( ( incident_o @ SV234 @ SV153 )
= $false )
| ( ( incident_c @ SV234 @ ( sK12_C @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1281,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ! [SY382: $i,SY383: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY382 @ SY383 )
| ( ordered_by @ SV154 @ SV169 @ SY382 )
| ( ordered_by @ SV154 @ SY383 @ SY382 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1282,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ! [SY384: $i] :
( ! [SY385: $i] :
~ ( between_o @ SV154 @ SV169 @ SY384 @ SY385 )
| ( ordered_by @ SV154 @ SV169 @ SY384 )
| ( ordered_by @ SV154 @ SY384 @ SV169 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1283,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ! [SY386: $i,SY387: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY387 @ SY386 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1284,plain,
! [SV169: $i,SV154: $i] :
( ( ~ ! [SY388: $i,SY389: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SV169 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1285,plain,
! [SV245: $i,SV239: $i,SV169: $i,SV154: $i] :
( ( ~ ( ordered_by @ SV154 @ SV169 @ SV239 )
| ~ ( ordered_by @ SV154 @ SV239 @ SV245 )
| ( between_o @ SV154 @ SV169 @ SV239 @ SV245 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1286,plain,
! [SV169: $i,SV240: $i,SV246: $i,SV154: $i] :
( ( ~ ( ordered_by @ SV154 @ SV246 @ SV240 )
| ~ ( ordered_by @ SV154 @ SV240 @ SV169 )
| ( between_o @ SV154 @ SV169 @ SV240 @ SV246 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1287,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ~ ( ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1241]) ).
thf(1288,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ( ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1241]) ).
thf(1289,plain,
! [SV241: $i,SV235: $i,SV155: $i] :
( ( ( ~ ( meet @ SV155 @ SV235 @ SV241 ) )
= $true )
| ( ( ~ ( ~ ! [SY478: $i] :
( ~ ( incident_c @ SY478 @ SV235 )
| ~ ( incident_c @ SY478 @ SV241 )
| ( end_point @ SY478 @ SV235 ) )
| ~ ! [SY479: $i] :
( ~ ( incident_c @ SY479 @ SV235 )
| ~ ( incident_c @ SY479 @ SV241 )
| ( end_point @ SY479 @ SV241 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1242]) ).
thf(1290,plain,
! [SV155: $i] :
( ( ! [SY345: $i] :
( ! [SY346: $i] :
~ ( meet @ SV155 @ SY345 @ SY346 )
| ( incident_c @ SV155 @ SY345 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1291,plain,
! [SV155: $i] :
( ( ! [SY347: $i,SY348: $i] :
( ~ ( meet @ SV155 @ SY347 @ SY348 )
| ( incident_c @ SV155 @ SY348 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1292,plain,
! [SV236: $i,SV221: $i] :
( ( ( inner_point @ SV221 @ SV236 )
= $false )
| ( ( incident_c @ SV221 @ SV236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1293,plain,
! [SV237: $i,SV222: $i] :
( ( ( inner_point @ SV222 @ SV237 )
= $false )
| ( ( ~ ( end_point @ SV222 @ SV237 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1294,plain,
! [SV210: $i,SV223: $i,SV157: $i,SV247: $i,SV170: $i] :
( ( ( ~ ( end_point @ SV170 @ SV247 )
| ~ ( part_of @ SV247 @ SV157 )
| ~ ( end_point @ SV223 @ SV247 )
| ~ ( inner_point @ SV210 @ SV247 ) )
= $true )
| ( ( SV170 = SV223 )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV210 @ SV223 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1295,plain,
! [SV248: $i,SV242: $i,SV170: $i,SV157: $i] :
( ( ~ ( between_c @ SV157 @ SV170 @ SV242 @ SV248 )
| ( SV170 != SV248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1296,plain,
! [SV249: $i,SV243: $i,SV170: $i,SV157: $i] :
( ( ~ ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
| ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SV249 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SV243 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1297,plain,
! [SV158: $i,SV176: $i,SV171: $i] :
( ( ( incident_c @ SV171 @ SV176 )
= $false )
| ( ( open @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1298,plain,
! [SV190: $i,SV203: $i] :
( ( ( incident_c @ ( sK28_P @ SV203 @ SV190 ) @ SV190 )
= $false )
| ( ( part_of @ SV203 @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1299,plain,
! [SV191: $i,SV204: $i,SV238: $i] :
( ( ( incident_c @ SV238 @ SV204 )
= $false )
| ( ( incident_c @ SV238 @ SV191 )
= $true )
| ( ( part_of @ SV204 @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1300,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
| ~ ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) )
| ~ ( ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
| ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) ) ) )
= $true )
| ( ( ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1254]) ).
thf(1301,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i] :
( ( ( ~ ~ ( ~ ! [SY467: $i] :
( ~ ( incident_c @ SY467 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SY467 @ SV225 ) )
| ~ ! [SY468: $i] :
( ~ ( incident_o @ SY468 @ SV225 )
| ( incident_c @ SY468 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) ) )
| ~ ( between_c @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SV212 ) )
= $false )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1302,plain,
! [SV173: $i,SV161: $i,SV142: $i,SV177: $i] :
( ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( ! [SY418: $i] :
( ~ ( end_point @ SY418 @ SV161 )
| ~ ( end_point @ SY418 @ SV173 )
| ~ ( end_point @ SY418 @ SV177 ) ) )
= $true )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1303,plain,
! [SV144: $i,SV162: $i,SV178: $i,SV174: $i] :
( ( ( SV174 = SV178 )
= $true )
| ( ( ( SV162 = SV174 )
| ( SV162 = SV178 ) )
= $true )
| ( ( end_point @ SV174 @ SV144 )
= $false )
| ( ( end_point @ SV162 @ SV144 )
= $false )
| ( ( end_point @ SV178 @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1257]) ).
thf(1304,plain,
! [SV145: $i,SV226: $i,SV175: $i,SV163: $i,SV250: $i] :
( ( ( ~ ( end_point @ SV250 @ SV163 )
| ( meet @ SV250 @ SV163 @ SV175 ) )
= $true )
| ( ( meet @ SV226 @ SV163 @ SV175 )
= $false )
| ( ( closed @ SV145 )
= $false )
| ( ( SV145
= ( sum @ SV163 @ SV175 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1305,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 ) )
| ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) )
= $false )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1306,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
= $true )
| ( ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 )
| ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1307,plain,
! [SV206: $i,SV193: $i,SV148: $i] :
( ( ( ! [SY443: $i] :
( ~ ( incident_c @ SY443 @ SV148 )
| ( incident_c @ SY443 @ SV193 )
| ( incident_c @ SY443 @ SV206 ) ) )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1308,plain,
! [SV206: $i,SV148: $i,SV193: $i] :
( ( ( ~ ( ~ ! [SY435: $i] :
( ~ ( incident_c @ SY435 @ SV193 )
| ( incident_c @ SY435 @ SV148 ) )
| ~ ! [SY445: $i] :
( ~ ( incident_c @ SY445 @ SV206 )
| ( incident_c @ SY445 @ SV148 ) ) ) )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1309,plain,
! [SV180: $i,SV194: $i] :
( ( ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
= $false )
| ( ( ~ ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 ) )
= $true )
| ( ( SV180
= ( underlying_curve @ SV194 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1310,plain,
! [SV195: $i,SV181: $i,SV251: $i] :
( ( ( ~ ( incident_c @ SV251 @ SV181 )
| ( incident_o @ SV251 @ SV195 ) )
= $true )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1311,plain,
! [SV181: $i,SV195: $i,SV252: $i] :
( ( ( ~ ( incident_o @ SV252 @ SV195 )
| ( incident_c @ SV252 @ SV181 ) )
= $true )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1312,plain,
! [SV196: $i,SV182: $i] :
( ( ( ~ ( ( SV182
!= ( sK14_Q @ SV196 @ SV182 ) ) )
| ~ ( incident_o @ ( sK14_Q @ SV196 @ SV182 ) @ SV196 ) )
= $false )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1313,plain,
! [SV182: $i,SV196: $i] :
( ( ( ordered_by @ SV196 @ SV182 @ ( sK14_Q @ SV196 @ SV182 ) )
= $false )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1314,plain,
! [SV227: $i,SV253: $i,SV213: $i] :
( ( ( ( SV213 = SV253 )
| ~ ( incident_o @ SV253 @ SV227 )
| ( ordered_by @ SV227 @ SV213 @ SV253 ) )
= $true )
| ( ( start_point @ SV213 @ SV227 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1315,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) )
| ~ ( incident_c @ SV185 @ ( sK26_SY108 @ SV197 @ SV185 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1316,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) )
| ~ ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1317,plain,
! [SV215: $i,SV229: $i,SV254: $i] :
( ( ( ! [SY482: $i] :
( ~ ( part_of @ SV254 @ SV229 )
| ~ ( part_of @ SY482 @ SV229 )
| ~ ( incident_c @ SV215 @ SV254 )
| ~ ( incident_c @ SV215 @ SY482 )
| ( part_of @ SV254 @ SY482 )
| ( part_of @ SY482 @ SV254 ) ) )
= $true )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1273]) ).
thf(1318,plain,
! [SV198: $i,SV186: $i] :
( ( ( ~ ( ( SV186
!= ( sK13_Q @ SV198 @ SV186 ) ) )
| ~ ( incident_o @ ( sK13_Q @ SV198 @ SV186 ) @ SV198 ) )
= $false )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1275]) ).
thf(1319,plain,
! [SV186: $i,SV198: $i] :
( ( ( ordered_by @ SV198 @ ( sK13_Q @ SV198 @ SV186 ) @ SV186 )
= $false )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1320,plain,
! [SV231: $i,SV255: $i,SV217: $i] :
( ( ( ( SV217 = SV255 )
| ~ ( incident_o @ SV255 @ SV231 )
| ( ordered_by @ SV231 @ SV255 @ SV217 ) )
= $true )
| ( ( finish_point @ SV217 @ SV231 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1321,plain,
! [SV169: $i,SV154: $i] :
( ( ! [SY382: $i,SY383: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY382 @ SY383 )
| ( ordered_by @ SV154 @ SV169 @ SY382 )
| ( ordered_by @ SV154 @ SY383 @ SY382 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1281]) ).
thf(1322,plain,
! [SV169: $i,SV154: $i] :
( ( ! [SY384: $i] :
( ! [SY385: $i] :
~ ( between_o @ SV154 @ SV169 @ SY384 @ SY385 )
| ( ordered_by @ SV154 @ SV169 @ SY384 )
| ( ordered_by @ SV154 @ SY384 @ SV169 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1323,plain,
! [SV169: $i,SV154: $i] :
( ( ! [SY386: $i,SY387: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY386 @ SY387 )
| ( ordered_by @ SV154 @ SY387 @ SY386 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1283]) ).
thf(1324,plain,
! [SV169: $i,SV154: $i] :
( ( ! [SY388: $i,SY389: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SY389 )
| ( ordered_by @ SV154 @ SY388 @ SV169 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1284]) ).
thf(1325,plain,
! [SV245: $i,SV239: $i,SV169: $i,SV154: $i] :
( ( ( ~ ( ordered_by @ SV154 @ SV169 @ SV239 )
| ~ ( ordered_by @ SV154 @ SV239 @ SV245 ) )
= $true )
| ( ( between_o @ SV154 @ SV169 @ SV239 @ SV245 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1285]) ).
thf(1326,plain,
! [SV169: $i,SV240: $i,SV246: $i,SV154: $i] :
( ( ( ~ ( ordered_by @ SV154 @ SV246 @ SV240 )
| ~ ( ordered_by @ SV154 @ SV240 @ SV169 ) )
= $true )
| ( ( between_o @ SV154 @ SV169 @ SV240 @ SV246 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1286]) ).
thf(1327,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1328,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) )
= $true )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1288]) ).
thf(1329,plain,
! [SV241: $i,SV235: $i,SV155: $i] :
( ( ( meet @ SV155 @ SV235 @ SV241 )
= $false )
| ( ( ~ ( ~ ! [SY478: $i] :
( ~ ( incident_c @ SY478 @ SV235 )
| ~ ( incident_c @ SY478 @ SV241 )
| ( end_point @ SY478 @ SV235 ) )
| ~ ! [SY479: $i] :
( ~ ( incident_c @ SY479 @ SV235 )
| ~ ( incident_c @ SY479 @ SV241 )
| ( end_point @ SY479 @ SV241 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1330,plain,
! [SV256: $i,SV155: $i] :
( ( ! [SY483: $i] :
~ ( meet @ SV155 @ SV256 @ SY483 )
| ( incident_c @ SV155 @ SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1331,plain,
! [SV257: $i,SV155: $i] :
( ( ! [SY484: $i] :
( ~ ( meet @ SV155 @ SV257 @ SY484 )
| ( incident_c @ SV155 @ SY484 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1332,plain,
! [SV237: $i,SV222: $i] :
( ( ( end_point @ SV222 @ SV237 )
= $false )
| ( ( inner_point @ SV222 @ SV237 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1333,plain,
! [SV210: $i,SV223: $i,SV157: $i,SV247: $i,SV170: $i] :
( ( ( ~ ( end_point @ SV170 @ SV247 )
| ~ ( part_of @ SV247 @ SV157 )
| ~ ( end_point @ SV223 @ SV247 ) )
= $true )
| ( ( ~ ( inner_point @ SV210 @ SV247 ) )
= $true )
| ( ( SV170 = SV223 )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV210 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1294]) ).
thf(1334,plain,
! [SV248: $i,SV242: $i,SV170: $i,SV157: $i] :
( ( ( ~ ( between_c @ SV157 @ SV170 @ SV242 @ SV248 ) )
= $true )
| ( ( ( SV170 != SV248 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1295]) ).
thf(1335,plain,
! [SV249: $i,SV243: $i,SV170: $i,SV157: $i] :
( ( ( ~ ( between_c @ SV157 @ SV170 @ SV243 @ SV249 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SV249 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SV243 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1296]) ).
thf(1336,plain,
! [SV158: $i,SV171: $i,SV176: $i] :
( ( ( ~ ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
| ~ ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 ) )
= $false )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1337,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
| ~ ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) )
| ~ ( ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
| ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) ) )
= $false )
| ( ( ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1300]) ).
thf(1338,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i] :
( ( ( ~ ~ ( ~ ! [SY467: $i] :
( ~ ( incident_c @ SY467 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SY467 @ SV225 ) )
| ~ ! [SY468: $i] :
( ~ ( incident_o @ SY468 @ SV225 )
| ( incident_c @ SY468 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) ) ) )
= $false )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1339,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i] :
( ( ( ~ ( between_c @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SV212 ) )
= $false )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1340,plain,
! [SV142: $i,SV177: $i,SV173: $i,SV161: $i,SV258: $i] :
( ( ( ~ ( end_point @ SV258 @ SV161 )
| ~ ( end_point @ SV258 @ SV173 )
| ~ ( end_point @ SV258 @ SV177 ) )
= $true )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1341,plain,
! [SV144: $i,SV178: $i,SV174: $i,SV162: $i] :
( ( ( SV162 = SV174 )
= $true )
| ( ( SV162 = SV178 )
= $true )
| ( ( SV174 = SV178 )
= $true )
| ( ( end_point @ SV174 @ SV144 )
= $false )
| ( ( end_point @ SV162 @ SV144 )
= $false )
| ( ( end_point @ SV178 @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1303]) ).
thf(1342,plain,
! [SV145: $i,SV226: $i,SV175: $i,SV163: $i,SV250: $i] :
( ( ( ~ ( end_point @ SV250 @ SV163 ) )
= $true )
| ( ( meet @ SV250 @ SV163 @ SV175 )
= $true )
| ( ( meet @ SV226 @ SV163 @ SV175 )
= $false )
| ( ( closed @ SV145 )
= $false )
| ( ( SV145
= ( sum @ SV163 @ SV175 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1304]) ).
thf(1343,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 ) ) )
= $false )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1344,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) ) )
= $false )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1345,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 )
= $true )
| ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 )
= $true )
| ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1306]) ).
thf(1346,plain,
! [SV206: $i,SV193: $i,SV148: $i,SV259: $i] :
( ( ( ~ ( incident_c @ SV259 @ SV148 )
| ( incident_c @ SV259 @ SV193 )
| ( incident_c @ SV259 @ SV206 ) )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1307]) ).
thf(1347,plain,
! [SV206: $i,SV148: $i,SV193: $i] :
( ( ( ~ ! [SY435: $i] :
( ~ ( incident_c @ SY435 @ SV193 )
| ( incident_c @ SY435 @ SV148 ) )
| ~ ! [SY445: $i] :
( ~ ( incident_c @ SY445 @ SV206 )
| ( incident_c @ SY445 @ SV148 ) ) )
= $false )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1348,plain,
! [SV180: $i,SV194: $i] :
( ( ( incident_o @ ( sK5_P @ SV194 @ SV180 ) @ SV194 )
= $false )
| ( ( incident_c @ ( sK5_P @ SV194 @ SV180 ) @ SV180 )
= $false )
| ( ( SV180
= ( underlying_curve @ SV194 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1309]) ).
thf(1349,plain,
! [SV195: $i,SV181: $i,SV251: $i] :
( ( ( ~ ( incident_c @ SV251 @ SV181 ) )
= $true )
| ( ( incident_o @ SV251 @ SV195 )
= $true )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1310]) ).
thf(1350,plain,
! [SV181: $i,SV195: $i,SV252: $i] :
( ( ( ~ ( incident_o @ SV252 @ SV195 ) )
= $true )
| ( ( incident_c @ SV252 @ SV181 )
= $true )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1311]) ).
thf(1351,plain,
! [SV196: $i,SV182: $i] :
( ( ( ~ ( ( SV182
!= ( sK14_Q @ SV196 @ SV182 ) ) ) )
= $false )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1312]) ).
thf(1352,plain,
! [SV182: $i,SV196: $i] :
( ( ( ~ ( incident_o @ ( sK14_Q @ SV196 @ SV182 ) @ SV196 ) )
= $false )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1312]) ).
thf(1353,plain,
! [SV196: $i,SV182: $i] :
( ( ( incident_o @ SV182 @ SV196 )
= $false )
| ( ( ordered_by @ SV196 @ SV182 @ ( sK14_Q @ SV196 @ SV182 ) )
= $false )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1354,plain,
! [SV227: $i,SV253: $i,SV213: $i] :
( ( ( ( SV213 = SV253 )
| ~ ( incident_o @ SV253 @ SV227 ) )
= $true )
| ( ( ordered_by @ SV227 @ SV213 @ SV253 )
= $true )
| ( ( start_point @ SV213 @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1314]) ).
thf(1355,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1315]) ).
thf(1356,plain,
! [SV197: $i,SV185: $i] :
( ( ( ~ ( incident_c @ SV185 @ ( sK26_SY108 @ SV197 @ SV185 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1315]) ).
thf(1357,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1316]) ).
thf(1358,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1316]) ).
thf(1359,plain,
! [SV215: $i,SV260: $i,SV229: $i,SV254: $i] :
( ( ( ~ ( part_of @ SV254 @ SV229 )
| ~ ( part_of @ SV260 @ SV229 )
| ~ ( incident_c @ SV215 @ SV254 )
| ~ ( incident_c @ SV215 @ SV260 )
| ( part_of @ SV254 @ SV260 )
| ( part_of @ SV260 @ SV254 ) )
= $true )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1360,plain,
! [SV198: $i,SV186: $i] :
( ( ( ~ ( ( SV186
!= ( sK13_Q @ SV198 @ SV186 ) ) ) )
= $false )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1361,plain,
! [SV186: $i,SV198: $i] :
( ( ( ~ ( incident_o @ ( sK13_Q @ SV198 @ SV186 ) @ SV198 ) )
= $false )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1362,plain,
! [SV198: $i,SV186: $i] :
( ( ( incident_o @ SV186 @ SV198 )
= $false )
| ( ( ordered_by @ SV198 @ ( sK13_Q @ SV198 @ SV186 ) @ SV186 )
= $false )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1363,plain,
! [SV231: $i,SV255: $i,SV217: $i] :
( ( ( ( SV217 = SV255 )
| ~ ( incident_o @ SV255 @ SV231 ) )
= $true )
| ( ( ordered_by @ SV231 @ SV255 @ SV217 )
= $true )
| ( ( finish_point @ SV217 @ SV231 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1320]) ).
thf(1364,plain,
! [SV261: $i,SV169: $i,SV154: $i] :
( ( ! [SY485: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SV261 @ SY485 )
| ( ordered_by @ SV154 @ SV169 @ SV261 )
| ( ordered_by @ SV154 @ SY485 @ SV261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1365,plain,
! [SV262: $i,SV169: $i,SV154: $i] :
( ( ! [SY486: $i] :
~ ( between_o @ SV154 @ SV169 @ SV262 @ SY486 )
| ( ordered_by @ SV154 @ SV169 @ SV262 )
| ( ordered_by @ SV154 @ SV262 @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1366,plain,
! [SV263: $i,SV169: $i,SV154: $i] :
( ( ! [SY487: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SV263 @ SY487 )
| ( ordered_by @ SV154 @ SV263 @ SY487 )
| ( ordered_by @ SV154 @ SY487 @ SV263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1367,plain,
! [SV264: $i,SV169: $i,SV154: $i] :
( ( ! [SY488: $i] :
( ~ ( between_o @ SV154 @ SV169 @ SV264 @ SY488 )
| ( ordered_by @ SV154 @ SV264 @ SY488 )
| ( ordered_by @ SV154 @ SV264 @ SV169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1368,plain,
! [SV245: $i,SV239: $i,SV169: $i,SV154: $i] :
( ( ( ~ ( ordered_by @ SV154 @ SV169 @ SV239 ) )
= $true )
| ( ( ~ ( ordered_by @ SV154 @ SV239 @ SV245 ) )
= $true )
| ( ( between_o @ SV154 @ SV169 @ SV239 @ SV245 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1325]) ).
thf(1369,plain,
! [SV169: $i,SV240: $i,SV246: $i,SV154: $i] :
( ( ( ~ ( ordered_by @ SV154 @ SV246 @ SV240 ) )
= $true )
| ( ( ~ ( ordered_by @ SV154 @ SV240 @ SV169 ) )
= $true )
| ( ( between_o @ SV154 @ SV169 @ SV240 @ SV246 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1326]) ).
thf(1370,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
| ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) )
= $false )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1371,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 ) )
= $true )
| ( ( ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) )
= $true )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1328]) ).
thf(1372,plain,
! [SV155: $i,SV241: $i,SV235: $i] :
( ( ( ~ ! [SY478: $i] :
( ~ ( incident_c @ SY478 @ SV235 )
| ~ ( incident_c @ SY478 @ SV241 )
| ( end_point @ SY478 @ SV235 ) )
| ~ ! [SY479: $i] :
( ~ ( incident_c @ SY479 @ SV235 )
| ~ ( incident_c @ SY479 @ SV241 )
| ( end_point @ SY479 @ SV241 ) ) )
= $false )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1373,plain,
! [SV256: $i,SV155: $i] :
( ( ( ! [SY483: $i] :
~ ( meet @ SV155 @ SV256 @ SY483 ) )
= $true )
| ( ( incident_c @ SV155 @ SV256 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1330]) ).
thf(1374,plain,
! [SV265: $i,SV257: $i,SV155: $i] :
( ( ~ ( meet @ SV155 @ SV257 @ SV265 )
| ( incident_c @ SV155 @ SV265 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1375,plain,
! [SV210: $i,SV223: $i,SV157: $i,SV247: $i,SV170: $i] :
( ( ( ~ ( end_point @ SV170 @ SV247 )
| ~ ( part_of @ SV247 @ SV157 ) )
= $true )
| ( ( ~ ( end_point @ SV223 @ SV247 ) )
= $true )
| ( ( ~ ( inner_point @ SV210 @ SV247 ) )
= $true )
| ( ( SV170 = SV223 )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV210 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1333]) ).
thf(1376,plain,
! [SV248: $i,SV242: $i,SV170: $i,SV157: $i] :
( ( ( between_c @ SV157 @ SV170 @ SV242 @ SV248 )
= $false )
| ( ( ( SV170 != SV248 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1377,plain,
! [SV249: $i,SV243: $i,SV170: $i,SV157: $i] :
( ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SV249 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SV243 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1378,plain,
! [SV158: $i,SV171: $i,SV176: $i] :
( ( ( ~ ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) ) )
= $false )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1379,plain,
! [SV158: $i,SV171: $i,SV176: $i] :
( ( ( ~ ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 ) )
= $false )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1380,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( ~ ( ~ ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
| ~ ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) ) )
= $false )
| ( ( ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1381,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( ~ ( ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
| ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) ) )
= $false )
| ( ( ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1382,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i] :
( ( ( ~ ( ~ ! [SY467: $i] :
( ~ ( incident_c @ SY467 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SY467 @ SV225 ) )
| ~ ! [SY468: $i] :
( ~ ( incident_o @ SY468 @ SV225 )
| ( incident_c @ SY468 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) ) ) )
= $true )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1338]) ).
thf(1383,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i] :
( ( ( between_c @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) @ SV159 @ SV172 @ SV212 )
= $true )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1384,plain,
! [SV142: $i,SV177: $i,SV173: $i,SV161: $i,SV258: $i] :
( ( ( ~ ( end_point @ SV258 @ SV161 )
| ~ ( end_point @ SV258 @ SV173 ) )
= $true )
| ( ( ~ ( end_point @ SV258 @ SV177 ) )
= $true )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1385,plain,
! [SV145: $i,SV226: $i,SV175: $i,SV163: $i,SV250: $i] :
( ( ( end_point @ SV250 @ SV163 )
= $false )
| ( ( meet @ SV250 @ SV163 @ SV175 )
= $true )
| ( ( meet @ SV226 @ SV163 @ SV175 )
= $false )
| ( ( closed @ SV145 )
= $false )
| ( ( SV145
= ( sum @ SV163 @ SV175 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1342]) ).
thf(1386,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 ) )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1343]) ).
thf(1387,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
| ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1344]) ).
thf(1388,plain,
! [SV206: $i,SV193: $i,SV148: $i,SV259: $i] :
( ( ( ~ ( incident_c @ SV259 @ SV148 ) )
= $true )
| ( ( ( incident_c @ SV259 @ SV193 )
| ( incident_c @ SV259 @ SV206 ) )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1346]) ).
thf(1389,plain,
! [SV206: $i,SV148: $i,SV193: $i] :
( ( ( ~ ! [SY435: $i] :
( ~ ( incident_c @ SY435 @ SV193 )
| ( incident_c @ SY435 @ SV148 ) ) )
= $false )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1390,plain,
! [SV193: $i,SV148: $i,SV206: $i] :
( ( ( ~ ! [SY445: $i] :
( ~ ( incident_c @ SY445 @ SV206 )
| ( incident_c @ SY445 @ SV148 ) ) )
= $false )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1391,plain,
! [SV195: $i,SV181: $i,SV251: $i] :
( ( ( incident_c @ SV251 @ SV181 )
= $false )
| ( ( incident_o @ SV251 @ SV195 )
= $true )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1349]) ).
thf(1392,plain,
! [SV181: $i,SV195: $i,SV252: $i] :
( ( ( incident_o @ SV252 @ SV195 )
= $false )
| ( ( incident_c @ SV252 @ SV181 )
= $true )
| ( ( SV181
= ( underlying_curve @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1393,plain,
! [SV196: $i,SV182: $i] :
( ( ( ( SV182
!= ( sK14_Q @ SV196 @ SV182 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1351]) ).
thf(1394,plain,
! [SV182: $i,SV196: $i] :
( ( ( incident_o @ ( sK14_Q @ SV196 @ SV182 ) @ SV196 )
= $true )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1352]) ).
thf(1395,plain,
! [SV227: $i,SV253: $i,SV213: $i] :
( ( ( SV213 = SV253 )
= $true )
| ( ( ~ ( incident_o @ SV253 @ SV227 ) )
= $true )
| ( ( ordered_by @ SV227 @ SV213 @ SV253 )
= $true )
| ( ( start_point @ SV213 @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1354]) ).
thf(1396,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) ) )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1397,plain,
! [SV197: $i,SV185: $i] :
( ( ( incident_c @ SV185 @ ( sK26_SY108 @ SV197 @ SV185 ) )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1398,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1399,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1358]) ).
thf(1400,plain,
! [SV215: $i,SV260: $i,SV229: $i,SV254: $i] :
( ( ( ~ ( part_of @ SV254 @ SV229 )
| ~ ( part_of @ SV260 @ SV229 )
| ~ ( incident_c @ SV215 @ SV254 )
| ~ ( incident_c @ SV215 @ SV260 ) )
= $true )
| ( ( ( part_of @ SV254 @ SV260 )
| ( part_of @ SV260 @ SV254 ) )
= $true )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1359]) ).
thf(1401,plain,
! [SV198: $i,SV186: $i] :
( ( ( ( SV186
!= ( sK13_Q @ SV198 @ SV186 ) ) )
= $true )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1360]) ).
thf(1402,plain,
! [SV186: $i,SV198: $i] :
( ( ( incident_o @ ( sK13_Q @ SV198 @ SV186 ) @ SV198 )
= $true )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1403,plain,
! [SV231: $i,SV255: $i,SV217: $i] :
( ( ( SV217 = SV255 )
= $true )
| ( ( ~ ( incident_o @ SV255 @ SV231 ) )
= $true )
| ( ( ordered_by @ SV231 @ SV255 @ SV217 )
= $true )
| ( ( finish_point @ SV217 @ SV231 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1363]) ).
thf(1404,plain,
! [SV266: $i,SV261: $i,SV169: $i,SV154: $i] :
( ( ~ ( between_o @ SV154 @ SV169 @ SV261 @ SV266 )
| ( ordered_by @ SV154 @ SV169 @ SV261 )
| ( ordered_by @ SV154 @ SV266 @ SV261 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1405,plain,
! [SV262: $i,SV169: $i,SV154: $i] :
( ( ( ! [SY486: $i] :
~ ( between_o @ SV154 @ SV169 @ SV262 @ SY486 ) )
= $true )
| ( ( ( ordered_by @ SV154 @ SV169 @ SV262 )
| ( ordered_by @ SV154 @ SV262 @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1406,plain,
! [SV267: $i,SV263: $i,SV169: $i,SV154: $i] :
( ( ~ ( between_o @ SV154 @ SV169 @ SV263 @ SV267 )
| ( ordered_by @ SV154 @ SV263 @ SV267 )
| ( ordered_by @ SV154 @ SV267 @ SV263 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1407,plain,
! [SV268: $i,SV264: $i,SV169: $i,SV154: $i] :
( ( ~ ( between_o @ SV154 @ SV169 @ SV264 @ SV268 )
| ( ordered_by @ SV154 @ SV264 @ SV268 )
| ( ordered_by @ SV154 @ SV264 @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1408,plain,
! [SV245: $i,SV239: $i,SV169: $i,SV154: $i] :
( ( ( ordered_by @ SV154 @ SV169 @ SV239 )
= $false )
| ( ( ~ ( ordered_by @ SV154 @ SV239 @ SV245 ) )
= $true )
| ( ( between_o @ SV154 @ SV169 @ SV239 @ SV245 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1409,plain,
! [SV169: $i,SV240: $i,SV246: $i,SV154: $i] :
( ( ( ordered_by @ SV154 @ SV246 @ SV240 )
= $false )
| ( ( ~ ( ordered_by @ SV154 @ SV240 @ SV169 ) )
= $true )
| ( ( between_o @ SV154 @ SV169 @ SV240 @ SV246 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1410,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 ) )
= $false )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1370]) ).
thf(1411,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( ~ ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) )
= $false )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1370]) ).
thf(1412,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
= $false )
| ( ( ~ ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 ) )
= $true )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1413,plain,
! [SV155: $i,SV241: $i,SV235: $i] :
( ( ( ~ ! [SY478: $i] :
( ~ ( incident_c @ SY478 @ SV235 )
| ~ ( incident_c @ SY478 @ SV241 )
| ( end_point @ SY478 @ SV235 ) ) )
= $false )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1372]) ).
thf(1414,plain,
! [SV155: $i,SV241: $i,SV235: $i] :
( ( ( ~ ! [SY479: $i] :
( ~ ( incident_c @ SY479 @ SV235 )
| ~ ( incident_c @ SY479 @ SV241 )
| ( end_point @ SY479 @ SV241 ) ) )
= $false )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1372]) ).
thf(1415,plain,
! [SV269: $i,SV256: $i,SV155: $i] :
( ( ( ~ ( meet @ SV155 @ SV256 @ SV269 ) )
= $true )
| ( ( incident_c @ SV155 @ SV256 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1416,plain,
! [SV265: $i,SV257: $i,SV155: $i] :
( ( ( ~ ( meet @ SV155 @ SV257 @ SV265 ) )
= $true )
| ( ( incident_c @ SV155 @ SV265 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1374]) ).
thf(1417,plain,
! [SV210: $i,SV223: $i,SV157: $i,SV247: $i,SV170: $i] :
( ( ( ~ ( end_point @ SV170 @ SV247 ) )
= $true )
| ( ( ~ ( part_of @ SV247 @ SV157 ) )
= $true )
| ( ( ~ ( end_point @ SV223 @ SV247 ) )
= $true )
| ( ( ~ ( inner_point @ SV210 @ SV247 ) )
= $true )
| ( ( SV170 = SV223 )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV210 @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1418,plain,
! [SV242: $i,SV157: $i,SV248: $i,SV170: $i] :
( ( ( SV170 = SV248 )
= $false )
| ( ( between_c @ SV157 @ SV170 @ SV242 @ SV248 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1376]) ).
thf(1419,plain,
! [SV157: $i,SV243: $i,SV249: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SV249 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) )
| ~ ( inner_point @ SV243 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) )
= $false )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1420,plain,
! [SV158: $i,SV171: $i,SV176: $i] :
( ( ( ~ ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) ) )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1378]) ).
thf(1421,plain,
! [SV158: $i,SV171: $i,SV176: $i] :
( ( ( ordered_by @ ( sK8_O @ SV176 @ SV171 @ SV158 ) @ SV158 @ SV171 )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1379]) ).
thf(1422,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( ~ ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
| ~ ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) )
= $true )
| ( ( ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1380]) ).
thf(1423,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
| ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) )
= $true )
| ( ( ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1381]) ).
thf(1424,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i] :
( ( ( ~ ! [SY467: $i] :
( ~ ( incident_c @ SY467 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SY467 @ SV225 ) )
| ~ ! [SY468: $i] :
( ~ ( incident_o @ SY468 @ SV225 )
| ( incident_c @ SY468 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) ) )
= $false )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1425,plain,
! [SV142: $i,SV177: $i,SV173: $i,SV161: $i,SV258: $i] :
( ( ( ~ ( end_point @ SV258 @ SV161 ) )
= $true )
| ( ( ~ ( end_point @ SV258 @ SV173 ) )
= $true )
| ( ( ~ ( end_point @ SV258 @ SV177 ) )
= $true )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1384]) ).
thf(1426,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 ) )
= $true )
| ( ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 ) )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1386]) ).
thf(1427,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 ) )
= $true )
| ( ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1428,plain,
! [SV206: $i,SV193: $i,SV148: $i,SV259: $i] :
( ( ( incident_c @ SV259 @ SV148 )
= $false )
| ( ( ( incident_c @ SV259 @ SV193 )
| ( incident_c @ SV259 @ SV206 ) )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1429,plain,
! [SV206: $i,SV148: $i,SV193: $i] :
( ( ( ! [SY435: $i] :
( ~ ( incident_c @ SY435 @ SV193 )
| ( incident_c @ SY435 @ SV148 ) ) )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1389]) ).
thf(1430,plain,
! [SV193: $i,SV148: $i,SV206: $i] :
( ( ( ! [SY445: $i] :
( ~ ( incident_c @ SY445 @ SV206 )
| ( incident_c @ SY445 @ SV148 ) ) )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1390]) ).
thf(1431,plain,
! [SV196: $i,SV182: $i] :
( ( ( SV182
= ( sK14_Q @ SV196 @ SV182 ) )
= $false )
| ( ( ~ ( incident_o @ SV182 @ SV196 ) )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1393]) ).
thf(1432,plain,
! [SV196: $i,SV182: $i] :
( ( ( incident_o @ SV182 @ SV196 )
= $false )
| ( ( incident_o @ ( sK14_Q @ SV196 @ SV182 ) @ SV196 )
= $true )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1433,plain,
! [SV213: $i,SV227: $i,SV253: $i] :
( ( ( incident_o @ SV253 @ SV227 )
= $false )
| ( ( SV213 = SV253 )
= $true )
| ( ( ordered_by @ SV227 @ SV213 @ SV253 )
= $true )
| ( ( start_point @ SV213 @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1434,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
| ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1435,plain,
! [SV197: $i,SV185: $i] :
( ( ( incident_c @ SV185 @ SV197 )
= $false )
| ( ( incident_c @ SV185 @ ( sK26_SY108 @ SV197 @ SV185 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1436,plain,
! [SV185: $i,SV197: $i] :
( ( ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1437,plain,
! [SV185: $i,SV197: $i] :
( ( ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1438,plain,
! [SV215: $i,SV260: $i,SV229: $i,SV254: $i] :
( ( ( ~ ( part_of @ SV254 @ SV229 )
| ~ ( part_of @ SV260 @ SV229 )
| ~ ( incident_c @ SV215 @ SV254 ) )
= $true )
| ( ( ~ ( incident_c @ SV215 @ SV260 ) )
= $true )
| ( ( ( part_of @ SV254 @ SV260 )
| ( part_of @ SV260 @ SV254 ) )
= $true )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1439,plain,
! [SV198: $i,SV186: $i] :
( ( ( SV186
= ( sK13_Q @ SV198 @ SV186 ) )
= $false )
| ( ( ~ ( incident_o @ SV186 @ SV198 ) )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1440,plain,
! [SV198: $i,SV186: $i] :
( ( ( incident_o @ SV186 @ SV198 )
= $false )
| ( ( incident_o @ ( sK13_Q @ SV198 @ SV186 ) @ SV198 )
= $true )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1441,plain,
! [SV217: $i,SV231: $i,SV255: $i] :
( ( ( incident_o @ SV255 @ SV231 )
= $false )
| ( ( SV217 = SV255 )
= $true )
| ( ( ordered_by @ SV231 @ SV255 @ SV217 )
= $true )
| ( ( finish_point @ SV217 @ SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1442,plain,
! [SV266: $i,SV261: $i,SV169: $i,SV154: $i] :
( ( ( ~ ( between_o @ SV154 @ SV169 @ SV261 @ SV266 ) )
= $true )
| ( ( ( ordered_by @ SV154 @ SV169 @ SV261 )
| ( ordered_by @ SV154 @ SV266 @ SV261 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1404]) ).
thf(1443,plain,
! [SV270: $i,SV262: $i,SV169: $i,SV154: $i] :
( ( ( ~ ( between_o @ SV154 @ SV169 @ SV262 @ SV270 ) )
= $true )
| ( ( ( ordered_by @ SV154 @ SV169 @ SV262 )
| ( ordered_by @ SV154 @ SV262 @ SV169 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1405]) ).
thf(1444,plain,
! [SV267: $i,SV263: $i,SV169: $i,SV154: $i] :
( ( ( ~ ( between_o @ SV154 @ SV169 @ SV263 @ SV267 ) )
= $true )
| ( ( ( ordered_by @ SV154 @ SV263 @ SV267 )
| ( ordered_by @ SV154 @ SV267 @ SV263 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1445,plain,
! [SV268: $i,SV264: $i,SV169: $i,SV154: $i] :
( ( ( ~ ( between_o @ SV154 @ SV169 @ SV264 @ SV268 ) )
= $true )
| ( ( ( ordered_by @ SV154 @ SV264 @ SV268 )
| ( ordered_by @ SV154 @ SV264 @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1407]) ).
thf(1446,plain,
! [SV169: $i,SV245: $i,SV239: $i,SV154: $i] :
( ( ( ordered_by @ SV154 @ SV239 @ SV245 )
= $false )
| ( ( ordered_by @ SV154 @ SV169 @ SV239 )
= $false )
| ( ( between_o @ SV154 @ SV169 @ SV239 @ SV245 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1447,plain,
! [SV246: $i,SV169: $i,SV240: $i,SV154: $i] :
( ( ( ordered_by @ SV154 @ SV240 @ SV169 )
= $false )
| ( ( ordered_by @ SV154 @ SV246 @ SV240 )
= $false )
| ( ( between_o @ SV154 @ SV169 @ SV240 @ SV246 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1448,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
= $true )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1449,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 )
= $true )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1411]) ).
thf(1450,plain,
! [SV155: $i,SV199: $i,SV208: $i] :
( ( ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 )
= $false )
| ( ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
= $false )
| ( ( ~ ( incident_c @ SV155 @ SV199 )
| ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1451,plain,
! [SV155: $i,SV241: $i,SV235: $i] :
( ( ( ! [SY478: $i] :
( ~ ( incident_c @ SY478 @ SV235 )
| ~ ( incident_c @ SY478 @ SV241 )
| ( end_point @ SY478 @ SV235 ) ) )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1413]) ).
thf(1452,plain,
! [SV155: $i,SV241: $i,SV235: $i] :
( ( ( ! [SY479: $i] :
( ~ ( incident_c @ SY479 @ SV235 )
| ~ ( incident_c @ SY479 @ SV241 )
| ( end_point @ SY479 @ SV241 ) ) )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1414]) ).
thf(1453,plain,
! [SV269: $i,SV256: $i,SV155: $i] :
( ( ( meet @ SV155 @ SV256 @ SV269 )
= $false )
| ( ( incident_c @ SV155 @ SV256 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1454,plain,
! [SV265: $i,SV257: $i,SV155: $i] :
( ( ( meet @ SV155 @ SV257 @ SV265 )
= $false )
| ( ( incident_c @ SV155 @ SV265 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1455,plain,
! [SV210: $i,SV223: $i,SV157: $i,SV247: $i,SV170: $i] :
( ( ( end_point @ SV170 @ SV247 )
= $false )
| ( ( ~ ( part_of @ SV247 @ SV157 ) )
= $true )
| ( ( ~ ( end_point @ SV223 @ SV247 ) )
= $true )
| ( ( ~ ( inner_point @ SV210 @ SV247 ) )
= $true )
| ( ( SV170 = SV223 )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV210 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1456,plain,
! [SV157: $i,SV243: $i,SV249: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SV249 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) ) )
= $false )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1419]) ).
thf(1457,plain,
! [SV157: $i,SV170: $i,SV249: $i,SV243: $i] :
( ( ( ~ ( inner_point @ SV243 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) )
= $false )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1419]) ).
thf(1458,plain,
! [SV158: $i,SV171: $i,SV176: $i] :
( ( ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
| ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
= $false )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1459,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( ~ ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 ) )
= $true )
| ( ( ~ ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) )
= $true )
| ( ( ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1422]) ).
thf(1460,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
= $true )
| ( ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 )
= $true )
| ( ( ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1461,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i] :
( ( ( ~ ! [SY467: $i] :
( ~ ( incident_c @ SY467 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SY467 @ SV225 ) ) )
= $false )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1462,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i] :
( ( ( ~ ! [SY468: $i] :
( ~ ( incident_o @ SY468 @ SV225 )
| ( incident_c @ SY468 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) ) )
= $false )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1463,plain,
! [SV142: $i,SV177: $i,SV173: $i,SV161: $i,SV258: $i] :
( ( ( end_point @ SV258 @ SV161 )
= $false )
| ( ( ~ ( end_point @ SV258 @ SV173 ) )
= $true )
| ( ( ~ ( end_point @ SV258 @ SV177 ) )
= $true )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1464,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
= $false )
| ( ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 ) )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1465,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
= $false )
| ( ( ~ ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 ) )
= $true )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1466,plain,
! [SV148: $i,SV206: $i,SV193: $i,SV259: $i] :
( ( ( incident_c @ SV259 @ SV193 )
= $true )
| ( ( incident_c @ SV259 @ SV206 )
= $true )
| ( ( incident_c @ SV259 @ SV148 )
= $false )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1428]) ).
thf(1467,plain,
! [SV206: $i,SV148: $i,SV193: $i,SV271: $i] :
( ( ( ~ ( incident_c @ SV271 @ SV193 )
| ( incident_c @ SV271 @ SV148 ) )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1429]) ).
thf(1468,plain,
! [SV193: $i,SV148: $i,SV206: $i,SV272: $i] :
( ( ( ~ ( incident_c @ SV272 @ SV206 )
| ( incident_c @ SV272 @ SV148 ) )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1430]) ).
thf(1469,plain,
! [SV196: $i,SV182: $i] :
( ( ( incident_o @ SV182 @ SV196 )
= $false )
| ( ( SV182
= ( sK14_Q @ SV196 @ SV182 ) )
= $false )
| ( ( start_point @ SV182 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1470,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1471,plain,
! [SV197: $i,SV185: $i] :
( ( ( ~ ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1472,plain,
! [SV197: $i,SV185: $i] :
( ( ( incident_c @ SV185 @ SV197 )
= $false )
| ( ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ ( sK26_SY108 @ SV197 @ SV185 ) )
= $false )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1473,plain,
! [SV197: $i,SV185: $i] :
( ( ( incident_c @ SV185 @ SV197 )
= $false )
| ( ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ ( sK25_C1 @ SV197 @ SV185 ) )
= $false )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1474,plain,
! [SV215: $i,SV260: $i,SV229: $i,SV254: $i] :
( ( ( ~ ( part_of @ SV254 @ SV229 )
| ~ ( part_of @ SV260 @ SV229 ) )
= $true )
| ( ( ~ ( incident_c @ SV215 @ SV254 ) )
= $true )
| ( ( ~ ( incident_c @ SV215 @ SV260 ) )
= $true )
| ( ( ( part_of @ SV254 @ SV260 )
| ( part_of @ SV260 @ SV254 ) )
= $true )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1438]) ).
thf(1475,plain,
! [SV198: $i,SV186: $i] :
( ( ( incident_o @ SV186 @ SV198 )
= $false )
| ( ( SV186
= ( sK13_Q @ SV198 @ SV186 ) )
= $false )
| ( ( finish_point @ SV186 @ SV198 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1439]) ).
thf(1476,plain,
! [SV266: $i,SV261: $i,SV169: $i,SV154: $i] :
( ( ( between_o @ SV154 @ SV169 @ SV261 @ SV266 )
= $false )
| ( ( ( ordered_by @ SV154 @ SV169 @ SV261 )
| ( ordered_by @ SV154 @ SV266 @ SV261 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1477,plain,
! [SV270: $i,SV262: $i,SV169: $i,SV154: $i] :
( ( ( between_o @ SV154 @ SV169 @ SV262 @ SV270 )
= $false )
| ( ( ( ordered_by @ SV154 @ SV169 @ SV262 )
| ( ordered_by @ SV154 @ SV262 @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1478,plain,
! [SV267: $i,SV263: $i,SV169: $i,SV154: $i] :
( ( ( between_o @ SV154 @ SV169 @ SV263 @ SV267 )
= $false )
| ( ( ( ordered_by @ SV154 @ SV263 @ SV267 )
| ( ordered_by @ SV154 @ SV267 @ SV263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1479,plain,
! [SV268: $i,SV264: $i,SV169: $i,SV154: $i] :
( ( ( between_o @ SV154 @ SV169 @ SV264 @ SV268 )
= $false )
| ( ( ( ordered_by @ SV154 @ SV264 @ SV268 )
| ( ordered_by @ SV154 @ SV264 @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1480,plain,
! [SV208: $i,SV199: $i,SV155: $i] :
( ( ( ~ ( incident_c @ SV155 @ SV199 ) )
= $true )
| ( ( ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1448]) ).
thf(1481,plain,
! [SV208: $i,SV199: $i,SV155: $i] :
( ( ( ~ ( incident_c @ SV155 @ SV199 ) )
= $true )
| ( ( ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1449]) ).
thf(1482,plain,
! [SV208: $i,SV199: $i,SV155: $i] :
( ( ( ~ ( incident_c @ SV155 @ SV199 ) )
= $true )
| ( ( ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
= $false )
| ( ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 )
= $false )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1450]) ).
thf(1483,plain,
! [SV155: $i,SV241: $i,SV235: $i,SV273: $i] :
( ( ( ~ ( incident_c @ SV273 @ SV235 )
| ~ ( incident_c @ SV273 @ SV241 )
| ( end_point @ SV273 @ SV235 ) )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1484,plain,
! [SV155: $i,SV241: $i,SV235: $i,SV274: $i] :
( ( ( ~ ( incident_c @ SV274 @ SV235 )
| ~ ( incident_c @ SV274 @ SV241 )
| ( end_point @ SV274 @ SV241 ) )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(1485,plain,
! [SV210: $i,SV223: $i,SV170: $i,SV157: $i,SV247: $i] :
( ( ( part_of @ SV247 @ SV157 )
= $false )
| ( ( end_point @ SV170 @ SV247 )
= $false )
| ( ( ~ ( end_point @ SV223 @ SV247 ) )
= $true )
| ( ( ~ ( inner_point @ SV210 @ SV247 ) )
= $true )
| ( ( SV170 = SV223 )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV210 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1486,plain,
! [SV157: $i,SV243: $i,SV249: $i,SV170: $i] :
( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SV249 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) ) )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1456]) ).
thf(1487,plain,
! [SV157: $i,SV170: $i,SV249: $i,SV243: $i] :
( ( ( inner_point @ SV243 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1488,plain,
! [SV158: $i,SV171: $i,SV176: $i] :
( ( ( ~ ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) ) )
= $false )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1489,plain,
! [SV158: $i,SV171: $i,SV176: $i] :
( ( ( ~ ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
= $false )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1490,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
= $false )
| ( ( ~ ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 ) )
= $true )
| ( ( ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1491,plain,
! [SV224: $i,SV211: $i,SV172: $i,SV159: $i,SV244: $i] :
( ( ( between_c @ SV244 @ SV159 @ SV172 @ SV211 )
= $false )
| ( ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 )
= $true )
| ( ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1492,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i] :
( ( ( ! [SY467: $i] :
( ~ ( incident_c @ SY467 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SY467 @ SV225 ) ) )
= $true )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1493,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i] :
( ( ( ! [SY468: $i] :
( ~ ( incident_o @ SY468 @ SV225 )
| ( incident_c @ SY468 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) ) )
= $true )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1494,plain,
! [SV142: $i,SV177: $i,SV161: $i,SV173: $i,SV258: $i] :
( ( ( end_point @ SV258 @ SV173 )
= $false )
| ( ( end_point @ SV258 @ SV161 )
= $false )
| ( ( ~ ( end_point @ SV258 @ SV177 ) )
= $true )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1495,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV192 )
= $false )
| ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
= $false )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1496,plain,
! [SV148: $i,SV192: $i,SV205: $i] :
( ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV205 )
= $false )
| ( ( incident_c @ ( sK27_Q @ SV205 @ SV192 @ SV148 ) @ SV148 )
= $false )
| ( ( SV148
= ( sum @ SV192 @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1497,plain,
! [SV206: $i,SV148: $i,SV193: $i,SV271: $i] :
( ( ( ~ ( incident_c @ SV271 @ SV193 ) )
= $true )
| ( ( incident_c @ SV271 @ SV148 )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1467]) ).
thf(1498,plain,
! [SV193: $i,SV148: $i,SV206: $i,SV272: $i] :
( ( ( ~ ( incident_c @ SV272 @ SV206 ) )
= $true )
| ( ( incident_c @ SV272 @ SV148 )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1468]) ).
thf(1499,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) ) )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1500,plain,
! [SV197: $i,SV185: $i] :
( ( ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1501,plain,
! [SV215: $i,SV260: $i,SV229: $i,SV254: $i] :
( ( ( ~ ( part_of @ SV254 @ SV229 ) )
= $true )
| ( ( ~ ( part_of @ SV260 @ SV229 ) )
= $true )
| ( ( ~ ( incident_c @ SV215 @ SV254 ) )
= $true )
| ( ( ~ ( incident_c @ SV215 @ SV260 ) )
= $true )
| ( ( ( part_of @ SV254 @ SV260 )
| ( part_of @ SV260 @ SV254 ) )
= $true )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1474]) ).
thf(1502,plain,
! [SV266: $i,SV261: $i,SV169: $i,SV154: $i] :
( ( ( ordered_by @ SV154 @ SV169 @ SV261 )
= $true )
| ( ( ordered_by @ SV154 @ SV266 @ SV261 )
= $true )
| ( ( between_o @ SV154 @ SV169 @ SV261 @ SV266 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1476]) ).
thf(1503,plain,
! [SV270: $i,SV262: $i,SV169: $i,SV154: $i] :
( ( ( ordered_by @ SV154 @ SV169 @ SV262 )
= $true )
| ( ( ordered_by @ SV154 @ SV262 @ SV169 )
= $true )
| ( ( between_o @ SV154 @ SV169 @ SV262 @ SV270 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1477]) ).
thf(1504,plain,
! [SV169: $i,SV267: $i,SV263: $i,SV154: $i] :
( ( ( ordered_by @ SV154 @ SV263 @ SV267 )
= $true )
| ( ( ordered_by @ SV154 @ SV267 @ SV263 )
= $true )
| ( ( between_o @ SV154 @ SV169 @ SV263 @ SV267 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1478]) ).
thf(1505,plain,
! [SV169: $i,SV268: $i,SV264: $i,SV154: $i] :
( ( ( ordered_by @ SV154 @ SV264 @ SV268 )
= $true )
| ( ( ordered_by @ SV154 @ SV264 @ SV169 )
= $true )
| ( ( between_o @ SV154 @ SV169 @ SV264 @ SV268 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1479]) ).
thf(1506,plain,
! [SV208: $i,SV199: $i,SV155: $i] :
( ( ( incident_c @ SV155 @ SV199 )
= $false )
| ( ( ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1507,plain,
! [SV208: $i,SV199: $i,SV155: $i] :
( ( ( incident_c @ SV155 @ SV199 )
= $false )
| ( ( ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1481]) ).
thf(1508,plain,
! [SV208: $i,SV199: $i,SV155: $i] :
( ( ( incident_c @ SV155 @ SV199 )
= $false )
| ( ( ~ ( incident_c @ SV155 @ SV208 ) )
= $true )
| ( ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
= $false )
| ( ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 )
= $false )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1509,plain,
! [SV155: $i,SV241: $i,SV235: $i,SV273: $i] :
( ( ( ~ ( incident_c @ SV273 @ SV235 )
| ~ ( incident_c @ SV273 @ SV241 ) )
= $true )
| ( ( end_point @ SV273 @ SV235 )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1483]) ).
thf(1510,plain,
! [SV155: $i,SV241: $i,SV235: $i,SV274: $i] :
( ( ( ~ ( incident_c @ SV274 @ SV235 )
| ~ ( incident_c @ SV274 @ SV241 ) )
= $true )
| ( ( end_point @ SV274 @ SV241 )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1511,plain,
! [SV210: $i,SV157: $i,SV170: $i,SV247: $i,SV223: $i] :
( ( ( end_point @ SV223 @ SV247 )
= $false )
| ( ( end_point @ SV170 @ SV247 )
= $false )
| ( ( part_of @ SV247 @ SV157 )
= $false )
| ( ( ~ ( inner_point @ SV210 @ SV247 ) )
= $true )
| ( ( SV170 = SV223 )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV210 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1512,plain,
! [SV157: $i,SV243: $i,SV249: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) )
| ~ ( end_point @ SV249 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) )
= $false )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1513,plain,
! [SV158: $i,SV171: $i,SV176: $i] :
( ( ( ! [SY416: $i] :
( ~ ( incident_c @ SY416 @ SV176 )
| ( incident_o @ SY416 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) ) )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1488]) ).
thf(1514,plain,
! [SV158: $i,SV171: $i,SV176: $i] :
( ( ( ! [SY417: $i] :
( ~ ( incident_o @ SY417 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SY417 @ SV176 ) ) )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1489]) ).
thf(1515,plain,
! [SV159: $i,SV172: $i,SV211: $i,SV224: $i,SV244: $i] :
( ( ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 )
= $false )
| ( ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
= $false )
| ( ( ~ ( between_c @ SV244 @ SV159 @ SV172 @ SV211 ) )
= $true )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1516,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i,SV275: $i] :
( ( ( ~ ( incident_c @ SV275 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
| ( incident_o @ SV275 @ SV225 ) )
= $true )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1492]) ).
thf(1517,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i,SV276: $i] :
( ( ( ~ ( incident_o @ SV276 @ SV225 )
| ( incident_c @ SV276 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) )
= $true )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(1518,plain,
! [SV142: $i,SV173: $i,SV161: $i,SV177: $i,SV258: $i] :
( ( ( end_point @ SV258 @ SV177 )
= $false )
| ( ( end_point @ SV258 @ SV161 )
= $false )
| ( ( end_point @ SV258 @ SV173 )
= $false )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( ( part_of @ SV177 @ SV161 )
| ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1519,plain,
! [SV206: $i,SV148: $i,SV193: $i,SV271: $i] :
( ( ( incident_c @ SV271 @ SV193 )
= $false )
| ( ( incident_c @ SV271 @ SV148 )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1497]) ).
thf(1520,plain,
! [SV193: $i,SV148: $i,SV206: $i,SV272: $i] :
( ( ( incident_c @ SV272 @ SV206 )
= $false )
| ( ( incident_c @ SV272 @ SV148 )
= $true )
| ( ( SV148
= ( sum @ SV193 @ SV206 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1521,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
| ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1522,plain,
! [SV197: $i,SV185: $i] :
( ( ( incident_c @ SV185 @ SV197 )
= $false )
| ( ( incident_c @ SV185 @ ( sK25_C1 @ SV197 @ SV185 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1500]) ).
thf(1523,plain,
! [SV215: $i,SV260: $i,SV229: $i,SV254: $i] :
( ( ( part_of @ SV254 @ SV229 )
= $false )
| ( ( ~ ( part_of @ SV260 @ SV229 ) )
= $true )
| ( ( ~ ( incident_c @ SV215 @ SV254 ) )
= $true )
| ( ( ~ ( incident_c @ SV215 @ SV260 ) )
= $true )
| ( ( ( part_of @ SV254 @ SV260 )
| ( part_of @ SV260 @ SV254 ) )
= $true )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1524,plain,
! [SV199: $i,SV208: $i,SV155: $i] :
( ( ( incident_c @ SV155 @ SV208 )
= $false )
| ( ( incident_c @ SV155 @ SV199 )
= $false )
| ( ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1525,plain,
! [SV199: $i,SV208: $i,SV155: $i] :
( ( ( incident_c @ SV155 @ SV208 )
= $false )
| ( ( incident_c @ SV155 @ SV199 )
= $false )
| ( ( incident_c @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 )
= $true )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1526,plain,
! [SV199: $i,SV208: $i,SV155: $i] :
( ( ( incident_c @ SV155 @ SV208 )
= $false )
| ( ( incident_c @ SV155 @ SV199 )
= $false )
| ( ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV199 )
= $false )
| ( ( end_point @ ( sK24_Q @ SV208 @ SV199 @ SV155 ) @ SV208 )
= $false )
| ( ( meet @ SV155 @ SV199 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1527,plain,
! [SV155: $i,SV241: $i,SV235: $i,SV273: $i] :
( ( ( ~ ( incident_c @ SV273 @ SV235 ) )
= $true )
| ( ( ~ ( incident_c @ SV273 @ SV241 ) )
= $true )
| ( ( end_point @ SV273 @ SV235 )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1528,plain,
! [SV155: $i,SV241: $i,SV235: $i,SV274: $i] :
( ( ( ~ ( incident_c @ SV274 @ SV235 ) )
= $true )
| ( ( ~ ( incident_c @ SV274 @ SV241 ) )
= $true )
| ( ( end_point @ SV274 @ SV241 )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1510]) ).
thf(1529,plain,
! [SV223: $i,SV170: $i,SV157: $i,SV247: $i,SV210: $i] :
( ( ( inner_point @ SV210 @ SV247 )
= $false )
| ( ( part_of @ SV247 @ SV157 )
= $false )
| ( ( end_point @ SV170 @ SV247 )
= $false )
| ( ( end_point @ SV223 @ SV247 )
= $false )
| ( ( SV170 = SV223 )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV210 @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1530,plain,
! [SV157: $i,SV243: $i,SV249: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) ) )
= $false )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1531,plain,
! [SV157: $i,SV170: $i,SV243: $i,SV249: $i] :
( ( ( ~ ( end_point @ SV249 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) )
= $false )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1532,plain,
! [SV158: $i,SV171: $i,SV176: $i,SV277: $i] :
( ( ( ~ ( incident_c @ SV277 @ SV176 )
| ( incident_o @ SV277 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1513]) ).
thf(1533,plain,
! [SV158: $i,SV171: $i,SV176: $i,SV278: $i] :
( ( ( ~ ( incident_o @ SV278 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
| ( incident_c @ SV278 @ SV176 ) )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(1534,plain,
! [SV224: $i,SV211: $i,SV172: $i,SV159: $i,SV244: $i] :
( ( ( between_c @ SV244 @ SV159 @ SV172 @ SV211 )
= $false )
| ( ( incident_c @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV244 )
= $false )
| ( ( incident_o @ ( sK11_P @ SV244 @ SV224 @ SV211 @ SV172 @ SV159 ) @ SV224 )
= $false )
| ( ( between_o @ SV224 @ SV159 @ SV172 @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1515]) ).
thf(1535,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i,SV275: $i] :
( ( ( ~ ( incident_c @ SV275 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) ) )
= $true )
| ( ( incident_o @ SV275 @ SV225 )
= $true )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1516]) ).
thf(1536,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i,SV276: $i] :
( ( ( ~ ( incident_o @ SV276 @ SV225 ) )
= $true )
| ( ( incident_c @ SV276 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
= $true )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1517]) ).
thf(1537,plain,
! [SV258: $i,SV142: $i,SV173: $i,SV161: $i,SV177: $i] :
( ( ( part_of @ SV177 @ SV161 )
= $true )
| ( ( ( part_of @ SV161 @ SV177 )
| ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( end_point @ SV258 @ SV173 )
= $false )
| ( ( end_point @ SV258 @ SV161 )
= $false )
| ( ( end_point @ SV258 @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1518]) ).
thf(1538,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1521]) ).
thf(1539,plain,
! [SV185: $i,SV197: $i] :
( ( ( ~ ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 ) )
= $false )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1521]) ).
thf(1540,plain,
! [SV215: $i,SV254: $i,SV229: $i,SV260: $i] :
( ( ( part_of @ SV260 @ SV229 )
= $false )
| ( ( part_of @ SV254 @ SV229 )
= $false )
| ( ( ~ ( incident_c @ SV215 @ SV254 ) )
= $true )
| ( ( ~ ( incident_c @ SV215 @ SV260 ) )
= $true )
| ( ( ( part_of @ SV254 @ SV260 )
| ( part_of @ SV260 @ SV254 ) )
= $true )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1523]) ).
thf(1541,plain,
! [SV155: $i,SV241: $i,SV235: $i,SV273: $i] :
( ( ( incident_c @ SV273 @ SV235 )
= $false )
| ( ( ~ ( incident_c @ SV273 @ SV241 ) )
= $true )
| ( ( end_point @ SV273 @ SV235 )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1542,plain,
! [SV155: $i,SV241: $i,SV235: $i,SV274: $i] :
( ( ( incident_c @ SV274 @ SV235 )
= $false )
| ( ( ~ ( incident_c @ SV274 @ SV241 ) )
= $true )
| ( ( end_point @ SV274 @ SV241 )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1543,plain,
! [SV157: $i,SV243: $i,SV249: $i,SV170: $i] :
( ( ( ~ ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) ) )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1544,plain,
! [SV157: $i,SV170: $i,SV243: $i,SV249: $i] :
( ( ( end_point @ SV249 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1545,plain,
! [SV158: $i,SV171: $i,SV176: $i,SV277: $i] :
( ( ( ~ ( incident_c @ SV277 @ SV176 ) )
= $true )
| ( ( incident_o @ SV277 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1546,plain,
! [SV158: $i,SV171: $i,SV176: $i,SV278: $i] :
( ( ( ~ ( incident_o @ SV278 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) ) )
= $true )
| ( ( incident_c @ SV278 @ SV176 )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1533]) ).
thf(1547,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i,SV275: $i] :
( ( ( incident_c @ SV275 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
= $false )
| ( ( incident_o @ SV275 @ SV225 )
= $true )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1548,plain,
! [SV159: $i,SV172: $i,SV212: $i,SV225: $i,SV276: $i] :
( ( ( incident_o @ SV276 @ SV225 )
= $false )
| ( ( incident_c @ SV276 @ ( sK10_C @ SV225 @ SV212 @ SV172 @ SV159 ) )
= $true )
| ( ( between_o @ SV225 @ SV159 @ SV172 @ SV212 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1549,plain,
! [SV258: $i,SV142: $i,SV173: $i,SV177: $i,SV161: $i] :
( ( ( part_of @ SV161 @ SV177 )
= $true )
| ( ( ( part_of @ SV173 @ SV161 )
| ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true )
| ( ( part_of @ SV177 @ SV161 )
= $true )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( end_point @ SV258 @ SV173 )
= $false )
| ( ( end_point @ SV258 @ SV161 )
= $false )
| ( ( end_point @ SV258 @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1537]) ).
thf(1550,plain,
! [SV185: $i,SV197: $i] :
( ( ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1551,plain,
! [SV185: $i,SV197: $i] :
( ( ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 )
= $true )
| ( ( ~ ( incident_c @ SV185 @ SV197 ) )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1539]) ).
thf(1552,plain,
! [SV260: $i,SV229: $i,SV254: $i,SV215: $i] :
( ( ( incident_c @ SV215 @ SV254 )
= $false )
| ( ( part_of @ SV254 @ SV229 )
= $false )
| ( ( part_of @ SV260 @ SV229 )
= $false )
| ( ( ~ ( incident_c @ SV215 @ SV260 ) )
= $true )
| ( ( ( part_of @ SV254 @ SV260 )
| ( part_of @ SV260 @ SV254 ) )
= $true )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1553,plain,
! [SV155: $i,SV235: $i,SV241: $i,SV273: $i] :
( ( ( incident_c @ SV273 @ SV241 )
= $false )
| ( ( incident_c @ SV273 @ SV235 )
= $false )
| ( ( end_point @ SV273 @ SV235 )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1554,plain,
! [SV155: $i,SV235: $i,SV241: $i,SV274: $i] :
( ( ( incident_c @ SV274 @ SV241 )
= $false )
| ( ( incident_c @ SV274 @ SV235 )
= $false )
| ( ( end_point @ SV274 @ SV241 )
= $true )
| ( ( meet @ SV155 @ SV235 @ SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1555,plain,
! [SV157: $i,SV243: $i,SV249: $i,SV170: $i] :
( ( ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
| ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) )
= $false )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1556,plain,
! [SV158: $i,SV171: $i,SV176: $i,SV277: $i] :
( ( ( incident_c @ SV277 @ SV176 )
= $false )
| ( ( incident_o @ SV277 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1557,plain,
! [SV158: $i,SV171: $i,SV176: $i,SV278: $i] :
( ( ( incident_o @ SV278 @ ( sK8_O @ SV176 @ SV171 @ SV158 ) )
= $false )
| ( ( incident_c @ SV278 @ SV176 )
= $true )
| ( ( incident_c @ SV158 @ SV176 )
= $false )
| ( ( SV158 = SV171 )
= $true )
| ( ( open @ SV176 )
= $false )
| ( ( incident_c @ SV171 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1558,plain,
! [SV258: $i,SV142: $i,SV177: $i,SV161: $i,SV173: $i] :
( ( ( part_of @ SV173 @ SV161 )
= $true )
| ( ( ( part_of @ SV161 @ SV173 )
| ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true )
| ( ( part_of @ SV161 @ SV177 )
= $true )
| ( ( part_of @ SV177 @ SV161 )
= $true )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( end_point @ SV258 @ SV173 )
= $false )
| ( ( end_point @ SV258 @ SV161 )
= $false )
| ( ( end_point @ SV258 @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1549]) ).
thf(1559,plain,
! [SV197: $i,SV185: $i] :
( ( ( incident_c @ SV185 @ SV197 )
= $false )
| ( ( part_of @ ( sK25_C1 @ SV197 @ SV185 ) @ SV197 )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1560,plain,
! [SV197: $i,SV185: $i] :
( ( ( incident_c @ SV185 @ SV197 )
= $false )
| ( ( part_of @ ( sK26_SY108 @ SV197 @ SV185 ) @ SV197 )
= $true )
| ( ( end_point @ SV185 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1561,plain,
! [SV254: $i,SV229: $i,SV260: $i,SV215: $i] :
( ( ( incident_c @ SV215 @ SV260 )
= $false )
| ( ( part_of @ SV260 @ SV229 )
= $false )
| ( ( part_of @ SV254 @ SV229 )
= $false )
| ( ( incident_c @ SV215 @ SV254 )
= $false )
| ( ( ( part_of @ SV254 @ SV260 )
| ( part_of @ SV260 @ SV254 ) )
= $true )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1562,plain,
! [SV157: $i,SV243: $i,SV249: $i,SV170: $i] :
( ( ( ~ ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) ) )
= $false )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1563,plain,
! [SV157: $i,SV170: $i,SV243: $i,SV249: $i] :
( ( ( ~ ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 ) )
= $false )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1564,plain,
! [SV258: $i,SV142: $i,SV177: $i,SV173: $i,SV161: $i] :
( ( ( part_of @ SV161 @ SV173 )
= $true )
| ( ( ( part_of @ SV173 @ SV177 )
| ( part_of @ SV177 @ SV173 ) )
= $true )
| ( ( part_of @ SV173 @ SV161 )
= $true )
| ( ( part_of @ SV161 @ SV177 )
= $true )
| ( ( part_of @ SV177 @ SV161 )
= $true )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( end_point @ SV258 @ SV173 )
= $false )
| ( ( end_point @ SV258 @ SV161 )
= $false )
| ( ( end_point @ SV258 @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1558]) ).
thf(1565,plain,
! [SV229: $i,SV215: $i,SV260: $i,SV254: $i] :
( ( ( part_of @ SV254 @ SV260 )
= $true )
| ( ( part_of @ SV260 @ SV254 )
= $true )
| ( ( incident_c @ SV215 @ SV254 )
= $false )
| ( ( part_of @ SV254 @ SV229 )
= $false )
| ( ( part_of @ SV260 @ SV229 )
= $false )
| ( ( incident_c @ SV215 @ SV260 )
= $false )
| ( ( end_point @ SV215 @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1561]) ).
thf(1566,plain,
! [SV157: $i,SV243: $i,SV249: $i,SV170: $i] :
( ( ( end_point @ SV170 @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1567,plain,
! [SV157: $i,SV170: $i,SV243: $i,SV249: $i] :
( ( ( part_of @ ( sK15_Cpp @ SV249 @ SV243 @ SV170 @ SV157 ) @ SV157 )
= $true )
| ( ( between_c @ SV157 @ SV170 @ SV243 @ SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1563]) ).
thf(1568,plain,
! [SV258: $i,SV142: $i,SV161: $i,SV177: $i,SV173: $i] :
( ( ( part_of @ SV173 @ SV177 )
= $true )
| ( ( part_of @ SV177 @ SV173 )
= $true )
| ( ( part_of @ SV161 @ SV173 )
= $true )
| ( ( part_of @ SV173 @ SV161 )
= $true )
| ( ( part_of @ SV161 @ SV177 )
= $true )
| ( ( part_of @ SV177 @ SV161 )
= $true )
| ( ( part_of @ SV177 @ SV142 )
= $false )
| ( ( part_of @ SV161 @ SV142 )
= $false )
| ( ( part_of @ SV173 @ SV142 )
= $false )
| ( ( end_point @ SV258 @ SV173 )
= $false )
| ( ( end_point @ SV258 @ SV161 )
= $false )
| ( ( end_point @ SV258 @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1564]) ).
thf(1569,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[886,1568,1567,1566,1565,1560,1559,1557,1556,1554,1553,1548,1547,1544,1534,1529,1526,1525,1524,1522,1520,1519,1505,1504,1503,1502,1496,1495,1491,1487,1475,1473,1472,1469,1466,1454,1453,1447,1446,1441,1440,1435,1433,1432,1421,1418,1392,1391,1385,1383,1362,1353,1348,1345,1341,1332,1299,1298,1292,1280,1279,1278,1274,1270,1264,1251,1222,1217,1199,1198,1197,1196,1172,1137,1136,1135,1131,1127,1125,1090,1060,1032,1028,1020,1019,1008,890]) ).
thf(1570,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1569,834]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO127+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 16:57:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.38
% 0.14/0.38 No.of.Axioms: 27
% 0.14/0.38
% 0.14/0.38 Length.of.Defs: 0
% 0.14/0.38
% 0.14/0.38 Contains.Choice.Funs: false
% 0.14/0.39 .
% 0.14/0.42 (rf:0,axioms:27,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:29,loop_count:0,foatp_calls:0,translation:fof_full)...............................................................................................................
% 0.91/1.11
% 0.91/1.11 ********************************
% 0.91/1.11 * All subproblems solved! *
% 0.91/1.11 ********************************
% 0.91/1.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:27,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1569,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.65/1.88
% 1.65/1.88 %**** Beginning of derivation protocol ****
% 1.65/1.88 % SZS output start CNFRefutation
% See solution above
% 1.65/1.89
% 1.65/1.89 %**** End of derivation protocol ****
% 1.65/1.89 %**** no. of clauses in derivation: 1570 ****
% 1.65/1.89 %**** clause counter: 1569 ****
% 1.65/1.89
% 1.65/1.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:27,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1569,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------