%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO118-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:17:58 AM UTC 2026
% Result : Unsatisfiable 5.15s 1.10s
% Output : CNFRefutation 5.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 99
% Syntax : Number of formulae : 943 ( 495 unt; 0 typ; 0 def)
% Number of atoms : 6363 (1952 equ; 0 cnn)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 13040 (1353 ~;2360 |; 0 &;9327 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 45 ( 42 usr; 5 con; 0-5 aty)
% Number of variables : 2933 ( 0 ^;2933 !; 0 ?;2933 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_ax0_sk1,type,
ax0_sk1: $i > $i > $i ).
thf(tp_ax0_sk10,type,
ax0_sk10: $i > $i > $i ).
thf(tp_ax0_sk11,type,
ax0_sk11: $i > $i > $i ).
thf(tp_ax0_sk12,type,
ax0_sk12: $i > $i > $i ).
thf(tp_ax0_sk13,type,
ax0_sk13: $i > $i > $i ).
thf(tp_ax0_sk2,type,
ax0_sk2: $i > $i > $i > $i ).
thf(tp_ax0_sk3,type,
ax0_sk3: $i > $i > $i ).
thf(tp_ax0_sk4,type,
ax0_sk4: $i > $i > $i ).
thf(tp_ax0_sk5,type,
ax0_sk5: $i > $i > $i > $i ).
thf(tp_ax0_sk6,type,
ax0_sk6: $i > $i ).
thf(tp_ax0_sk7,type,
ax0_sk7: $i > $i ).
thf(tp_ax0_sk8,type,
ax0_sk8: $i > $i ).
thf(tp_ax0_sk9,type,
ax0_sk9: $i > $i > $i ).
thf(tp_ax1_sk1,type,
ax1_sk1: $i > $i > $i > $i > $i ).
thf(tp_ax2_sk1,type,
ax2_sk1: $i > $i > $i ).
thf(tp_ax2_sk10,type,
ax2_sk10: $i > $i > $i ).
thf(tp_ax2_sk2,type,
ax2_sk2: $i > $i > $i ).
thf(tp_ax2_sk3,type,
ax2_sk3: $i > $i ).
thf(tp_ax2_sk4,type,
ax2_sk4: $i > $i > $i > $i > $i ).
thf(tp_ax2_sk5,type,
ax2_sk5: $i > $i > $i > $i > $i > $i ).
thf(tp_ax2_sk6,type,
ax2_sk6: $i > $i ).
thf(tp_ax2_sk7,type,
ax2_sk7: $i > $i > $i > $i ).
thf(tp_ax2_sk8,type,
ax2_sk8: $i > $i > $i ).
thf(tp_ax2_sk9,type,
ax2_sk9: $i > $i > $i ).
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_sk25,type,
sk25: $i ).
thf(tp_sk26,type,
sk26: $i ).
thf(tp_sk27,type,
sk27: $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,
! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ~ ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ( B
= ( underlying_curve @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',underlying_curve_defn_42) ).
thf(2,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ( B
= ( underlying_curve @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',underlying_curve_defn_41) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ~ ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ( B
= ( underlying_curve @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',underlying_curve_defn_40) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ( B
= ( underlying_curve @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',underlying_curve_defn_39) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( underlying_curve @ B ) )
| ~ ( incident_c @ C @ A )
| ( incident_o @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',underlying_curve_defn_38) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( A
!= ( underlying_curve @ B ) )
| ~ ( incident_o @ C @ B )
| ( incident_c @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',underlying_curve_defn_37) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ~ ( ordered_by @ A @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ~ ( ordered_by @ B @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o6_36) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ~ ( ordered_by @ A @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ( ordered_by @ A @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o6_35) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( ordered_by @ A @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ~ ( ordered_by @ A @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o6_34) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ordered_by @ A @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ( ordered_by @ B @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o6_33) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( open @ A )
| ( B = C )
| ~ ( incident_c @ B @ A )
| ~ ( incident_c @ C @ A )
| ( ordered_by @ ( ax2_sk7 @ A @ C @ B ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o5_32) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( open @ A )
| ( B = C )
| ~ ( incident_c @ B @ A )
| ~ ( incident_c @ C @ A )
| ~ ( incident_c @ D @ A )
| ( incident_o @ D @ ( ax2_sk7 @ A @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o5_31) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( open @ A )
| ( B = C )
| ~ ( incident_c @ B @ A )
| ~ ( incident_c @ C @ A )
| ~ ( incident_o @ D @ ( ax2_sk7 @ A @ C @ B ) )
| ( incident_c @ D @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o5_30) ).
thf(14,axiom,
! [A: $i] : ( start_point @ ( ax2_sk6 @ A ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o4_29) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ~ ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3_28) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3_27) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ~ ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3_26) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3_25) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( between_c @ ( ax2_sk4 @ A @ D @ C @ B ) @ B @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3_24) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ~ ( incident_c @ E @ ( ax2_sk4 @ A @ D @ C @ B ) )
| ( incident_o @ E @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3_23) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ~ ( incident_o @ E @ A )
| ( incident_c @ E @ ( ax2_sk4 @ A @ D @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3_22) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ ( ax2_sk3 @ B ) )
| ( incident_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2_21) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( incident_c @ A @ ( ax2_sk3 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2_20) ).
thf(24,axiom,
! [A: $i] : ( open @ ( ax2_sk3 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2_19) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ( incident_o @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1_18) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ( incident_o @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1_17) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ~ ( ordered_by @ B @ ( ax2_sk2 @ B @ A ) @ A )
| ( finish_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn_16) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( incident_o @ ( ax2_sk2 @ B @ A ) @ B )
| ( finish_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn_15) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( A
!= ( ax2_sk2 @ B @ A ) )
| ( finish_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn_14) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( finish_point @ A @ B )
| ( A = C )
| ~ ( incident_o @ C @ B )
| ( ordered_by @ B @ C @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn_13) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ~ ( finish_point @ A @ B )
| ( incident_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn_12) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ~ ( ordered_by @ B @ A @ ( ax2_sk1 @ B @ A ) )
| ( start_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn_11) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( incident_o @ ( ax2_sk1 @ B @ A ) @ B )
| ( start_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn_10) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( A
!= ( ax2_sk1 @ B @ A ) )
| ( start_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn_9) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( start_point @ A @ B )
| ( A = C )
| ~ ( incident_o @ C @ B )
| ( ordered_by @ B @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn_8) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ~ ( start_point @ A @ B )
| ( incident_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn_7) ).
thf(37,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ~ ( ordered_by @ A @ C @ D )
| ( between_o @ A @ D @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn_6) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ~ ( ordered_by @ A @ C @ D )
| ( between_o @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn_5) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ C @ D )
| ( ordered_by @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn_4) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ C @ D )
| ( ordered_by @ A @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn_3) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ B @ C )
| ( ordered_by @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn_2) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ B @ C )
| ( ordered_by @ A @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn_1) ).
thf(43,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ~ ( part_of @ C @ D )
| ~ ( end_point @ A @ C )
| ~ ( end_point @ B @ C )
| ~ ( inner_point @ E @ C )
| ( between_c @ D @ A @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_6) ).
thf(44,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( inner_point @ C @ ( ax1_sk1 @ D @ C @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_5) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( end_point @ D @ ( ax1_sk1 @ D @ C @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_4) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( end_point @ B @ ( ax1_sk1 @ D @ C @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_3) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( part_of @ ( ax1_sk1 @ D @ C @ B @ A ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_2) ).
thf(48,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( B != D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_1) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9_48) ).
thf(50,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9_47) ).
thf(51,axiom,
! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9_46) ).
thf(52,axiom,
! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9_45) ).
thf(53,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( ( ax0_sk12 @ C @ B )
= ( sum @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8_44) ).
thf(54,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( closed @ A )
| ~ ( meet @ B @ C @ D )
| ( A
!= ( sum @ C @ D ) )
| ~ ( end_point @ E @ C )
| ( meet @ E @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7_43) ).
thf(55,axiom,
! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( A
!= ( ax0_sk11 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6_42) ).
thf(56,axiom,
! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( end_point @ ( ax0_sk11 @ A @ B ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6_41) ).
thf(57,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( end_point @ A @ B )
| ~ ( end_point @ C @ B )
| ~ ( end_point @ D @ B )
| ( A = C )
| ( A = D )
| ( C = D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5_40) ).
thf(58,axiom,
! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( B
= ( sum @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4_39) ).
thf(59,axiom,
! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( meet @ A @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4_38) ).
thf(60,axiom,
! [A: $i] : ( inner_point @ ( ax0_sk8 @ A ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3_37) ).
thf(61,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( part_of @ A @ B )
| ~ ( part_of @ C @ B )
| ~ ( part_of @ D @ B )
| ~ ( end_point @ E @ A )
| ~ ( end_point @ E @ C )
| ~ ( end_point @ E @ D )
| ( part_of @ C @ D )
| ( part_of @ D @ C )
| ( part_of @ A @ C )
| ( part_of @ C @ A )
| ( part_of @ A @ D )
| ( part_of @ D @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2_36) ).
thf(62,axiom,
! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ( A = B )
| ( open @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1_35) ).
thf(63,axiom,
! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( open @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn_34) ).
thf(64,axiom,
! [A: $i] :
( ~ ( open @ A )
| ( end_point @ ( ax0_sk7 @ A ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn_33) ).
thf(65,axiom,
! [A: $i] :
( ( end_point @ ( ax0_sk6 @ A ) @ A )
| ( closed @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn_32) ).
thf(66,axiom,
! [A: $i,B: $i] :
( ~ ( closed @ A )
| ~ ( end_point @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closed_defn_31) ).
thf(67,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( incident_c @ A @ C )
| ~ ( end_point @ ( ax0_sk5 @ C @ B @ A ) @ B )
| ~ ( end_point @ ( ax0_sk5 @ C @ B @ A ) @ C )
| ( meet @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn_30) ).
thf(68,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( incident_c @ A @ C )
| ( incident_c @ ( ax0_sk5 @ C @ B @ A ) @ C )
| ( meet @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn_29) ).
thf(69,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( incident_c @ A @ C )
| ( incident_c @ ( ax0_sk5 @ C @ B @ A ) @ B )
| ( meet @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn_28) ).
thf(70,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( meet @ A @ B @ C )
| ~ ( incident_c @ D @ B )
| ~ ( incident_c @ D @ C )
| ( end_point @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn_27) ).
thf(71,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( meet @ A @ B @ C )
| ~ ( incident_c @ D @ B )
| ~ ( incident_c @ D @ C )
| ( end_point @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn_26) ).
thf(72,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn_25) ).
thf(73,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn_24) ).
thf(74,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( inner_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn_23) ).
thf(75,axiom,
! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ~ ( end_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn_22) ).
thf(76,axiom,
! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( incident_c @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn_21) ).
thf(77,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( part_of @ ( ax0_sk4 @ B @ A ) @ ( ax0_sk3 @ B @ A ) )
| ( end_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_20) ).
thf(78,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( part_of @ ( ax0_sk3 @ B @ A ) @ ( ax0_sk4 @ B @ A ) )
| ( end_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_19) ).
thf(79,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( incident_c @ A @ ( ax0_sk4 @ B @ A ) )
| ( end_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_18) ).
thf(80,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( incident_c @ A @ ( ax0_sk3 @ B @ A ) )
| ( end_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_17) ).
thf(81,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( part_of @ ( ax0_sk4 @ B @ A ) @ B )
| ( end_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_16) ).
thf(82,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( part_of @ ( ax0_sk3 @ B @ A ) @ B )
| ( end_point @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_15) ).
thf(83,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( end_point @ A @ B )
| ~ ( part_of @ C @ B )
| ~ ( part_of @ D @ B )
| ~ ( incident_c @ A @ C )
| ~ ( incident_c @ A @ D )
| ( part_of @ C @ D )
| ( part_of @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_14) ).
thf(84,axiom,
! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( incident_c @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn_13) ).
thf(85,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( C
= ( sum @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_12) ).
thf(86,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( C
= ( sum @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_11) ).
thf(87,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( C
= ( sum @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_10) ).
thf(88,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( C
= ( sum @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_9) ).
thf(89,axiom,
! [A: $i,B: $i,C: $i] :
( ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( C
= ( sum @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_8) ).
thf(90,axiom,
! [A: $i,B: $i,C: $i] :
( ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( C
= ( sum @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_7) ).
thf(91,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ C )
| ( incident_c @ D @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_6) ).
thf(92,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ B )
| ( incident_c @ D @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_5) ).
thf(93,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ A )
| ( incident_c @ D @ B )
| ( incident_c @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_4) ).
thf(94,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ A @ B ) @ B )
| ( part_of @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_3) ).
thf(95,axiom,
! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk1 @ A @ B ) @ A )
| ( part_of @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_2) ).
thf(96,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( part_of @ A @ B )
| ~ ( incident_c @ C @ A )
| ( incident_c @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_1) ).
thf(97,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(98,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[97]) ).
thf(99,negated_conjecture,
ordered_by @ sk25 @ sk27 @ sk26,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_5_134) ).
thf(100,negated_conjecture,
ordered_by @ sk25 @ sk26 @ sk27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_5_133) ).
thf(101,plain,
$false = $false,
inference(unfold_def,[status(thm)],[98]) ).
thf(102,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ~ ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ( B
= ( underlying_curve @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(103,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ( B
= ( underlying_curve @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(104,plain,
( ( ! [A: $i,B: $i] :
( ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ~ ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ( B
= ( underlying_curve @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(105,plain,
( ( ! [A: $i,B: $i] :
( ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ( B
= ( underlying_curve @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(106,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( underlying_curve @ B ) )
| ~ ( incident_c @ C @ A )
| ( incident_o @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(107,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( underlying_curve @ B ) )
| ~ ( incident_o @ C @ B )
| ( incident_c @ C @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(108,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ordered_by @ A @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ~ ( ordered_by @ B @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(109,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ordered_by @ A @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ( ordered_by @ A @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(110,plain,
( ( ! [A: $i,B: $i] :
( ( ordered_by @ A @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ~ ( ordered_by @ A @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(111,plain,
( ( ! [A: $i,B: $i] :
( ( ordered_by @ A @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ( ordered_by @ B @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(112,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( open @ A )
| ( B = C )
| ~ ( incident_c @ B @ A )
| ~ ( incident_c @ C @ A )
| ( ordered_by @ ( ax2_sk7 @ A @ C @ B ) @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(113,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( open @ A )
| ( B = C )
| ~ ( incident_c @ B @ A )
| ~ ( incident_c @ C @ A )
| ~ ( incident_c @ D @ A )
| ( incident_o @ D @ ( ax2_sk7 @ A @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(114,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( open @ A )
| ( B = C )
| ~ ( incident_c @ B @ A )
| ~ ( incident_c @ C @ A )
| ~ ( incident_o @ D @ ( ax2_sk7 @ A @ C @ B ) )
| ( incident_c @ D @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(115,plain,
( ( ! [A: $i] : ( start_point @ ( ax2_sk6 @ A ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(116,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ~ ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(117,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(118,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ~ ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(119,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(120,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( between_c @ ( ax2_sk4 @ A @ D @ C @ B ) @ B @ C @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(121,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ~ ( incident_c @ E @ ( ax2_sk4 @ A @ D @ C @ B ) )
| ( incident_o @ E @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(122,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ~ ( incident_o @ E @ A )
| ( incident_c @ E @ ( ax2_sk4 @ A @ D @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(123,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ ( ax2_sk3 @ B ) )
| ( incident_o @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(124,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( incident_c @ A @ ( ax2_sk3 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(125,plain,
( ( ! [A: $i] : ( open @ ( ax2_sk3 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(126,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ( incident_o @ C @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(127,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ( incident_o @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(128,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ~ ( ordered_by @ B @ ( ax2_sk2 @ B @ A ) @ A )
| ( finish_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(129,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( incident_o @ ( ax2_sk2 @ B @ A ) @ B )
| ( finish_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(130,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( A
!= ( ax2_sk2 @ B @ A ) )
| ( finish_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(131,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( finish_point @ A @ B )
| ( A = C )
| ~ ( incident_o @ C @ B )
| ( ordered_by @ B @ C @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(132,plain,
( ( ! [A: $i,B: $i] :
( ~ ( finish_point @ A @ B )
| ( incident_o @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(133,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ~ ( ordered_by @ B @ A @ ( ax2_sk1 @ B @ A ) )
| ( start_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(134,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( incident_o @ ( ax2_sk1 @ B @ A ) @ B )
| ( start_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(135,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( A
!= ( ax2_sk1 @ B @ A ) )
| ( start_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(136,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( start_point @ A @ B )
| ( A = C )
| ~ ( incident_o @ C @ B )
| ( ordered_by @ B @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(137,plain,
( ( ! [A: $i,B: $i] :
( ~ ( start_point @ A @ B )
| ( incident_o @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(138,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ~ ( ordered_by @ A @ C @ D )
| ( between_o @ A @ D @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(139,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ~ ( ordered_by @ A @ C @ D )
| ( between_o @ A @ B @ C @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(140,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ C @ D )
| ( ordered_by @ A @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(141,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ C @ D )
| ( ordered_by @ A @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(142,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ B @ C )
| ( ordered_by @ A @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(143,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ B @ C )
| ( ordered_by @ A @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(144,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ~ ( part_of @ C @ D )
| ~ ( end_point @ A @ C )
| ~ ( end_point @ B @ C )
| ~ ( inner_point @ E @ C )
| ( between_c @ D @ A @ E @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(145,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( inner_point @ C @ ( ax1_sk1 @ D @ C @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(146,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( end_point @ D @ ( ax1_sk1 @ D @ C @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(147,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( end_point @ B @ ( ax1_sk1 @ D @ C @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(148,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( part_of @ ( ax1_sk1 @ D @ C @ B @ A ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(149,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( B != D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(150,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(151,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(152,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(153,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(154,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( ( ax0_sk12 @ C @ B )
= ( sum @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(155,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( closed @ A )
| ~ ( meet @ B @ C @ D )
| ( A
!= ( sum @ C @ D ) )
| ~ ( end_point @ E @ C )
| ( meet @ E @ C @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(156,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( A
!= ( ax0_sk11 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(157,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( end_point @ ( ax0_sk11 @ A @ B ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(158,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( end_point @ A @ B )
| ~ ( end_point @ C @ B )
| ~ ( end_point @ D @ B )
| ( A = C )
| ( A = D )
| ( C = D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(159,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( B
= ( sum @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(160,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( meet @ A @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(161,plain,
( ( ! [A: $i] : ( inner_point @ ( ax0_sk8 @ A ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(162,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( part_of @ A @ B )
| ~ ( part_of @ C @ B )
| ~ ( part_of @ D @ B )
| ~ ( end_point @ E @ A )
| ~ ( end_point @ E @ C )
| ~ ( end_point @ E @ D )
| ( part_of @ C @ D )
| ( part_of @ D @ C )
| ( part_of @ A @ C )
| ( part_of @ C @ A )
| ( part_of @ A @ D )
| ( part_of @ D @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(163,plain,
( ( ! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ( A = B )
| ( open @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(164,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( open @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(165,plain,
( ( ! [A: $i] :
( ~ ( open @ A )
| ( end_point @ ( ax0_sk7 @ A ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(166,plain,
( ( ! [A: $i] :
( ( end_point @ ( ax0_sk6 @ A ) @ A )
| ( closed @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(167,plain,
( ( ! [A: $i,B: $i] :
( ~ ( closed @ A )
| ~ ( end_point @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(168,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( incident_c @ A @ C )
| ~ ( end_point @ ( ax0_sk5 @ C @ B @ A ) @ B )
| ~ ( end_point @ ( ax0_sk5 @ C @ B @ A ) @ C )
| ( meet @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(169,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( incident_c @ A @ C )
| ( incident_c @ ( ax0_sk5 @ C @ B @ A ) @ C )
| ( meet @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(170,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( incident_c @ A @ C )
| ( incident_c @ ( ax0_sk5 @ C @ B @ A ) @ B )
| ( meet @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(171,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( meet @ A @ B @ C )
| ~ ( incident_c @ D @ B )
| ~ ( incident_c @ D @ C )
| ( end_point @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(172,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( meet @ A @ B @ C )
| ~ ( incident_c @ D @ B )
| ~ ( incident_c @ D @ C )
| ( end_point @ D @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(173,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(174,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(175,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( inner_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(176,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ~ ( end_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(177,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(178,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( part_of @ ( ax0_sk4 @ B @ A ) @ ( ax0_sk3 @ B @ A ) )
| ( end_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(179,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( part_of @ ( ax0_sk3 @ B @ A ) @ ( ax0_sk4 @ B @ A ) )
| ( end_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(180,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( incident_c @ A @ ( ax0_sk4 @ B @ A ) )
| ( end_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(181,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( incident_c @ A @ ( ax0_sk3 @ B @ A ) )
| ( end_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(182,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( part_of @ ( ax0_sk4 @ B @ A ) @ B )
| ( end_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(183,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( part_of @ ( ax0_sk3 @ B @ A ) @ B )
| ( end_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(184,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( end_point @ A @ B )
| ~ ( part_of @ C @ B )
| ~ ( part_of @ D @ B )
| ~ ( incident_c @ A @ C )
| ~ ( incident_c @ A @ D )
| ( part_of @ C @ D )
| ( part_of @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(185,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(186,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(187,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(188,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(189,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(190,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(191,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(192,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ C )
| ( incident_c @ D @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(193,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ B )
| ( incident_c @ D @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(194,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ A )
| ( incident_c @ D @ B )
| ( incident_c @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(195,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ A @ B ) @ B )
| ( part_of @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(196,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk1 @ A @ B ) @ A )
| ( part_of @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(197,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( part_of @ A @ B )
| ~ ( incident_c @ C @ A )
| ( incident_c @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(198,plain,
( ( ordered_by @ sk25 @ sk27 @ sk26 )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(199,plain,
( ( ordered_by @ sk25 @ sk26 @ sk27 )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(200,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[101]) ).
thf(201,plain,
( ( ordered_by @ sk25 @ sk26 @ sk27 )
= $true ),
inference(copy,[status(thm)],[199]) ).
thf(202,plain,
( ( ordered_by @ sk25 @ sk27 @ sk26 )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(203,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( part_of @ A @ B )
| ~ ( incident_c @ C @ A )
| ( incident_c @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(204,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk1 @ A @ B ) @ A )
| ( part_of @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(205,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ A @ B ) @ B )
| ( part_of @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(206,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ A )
| ( incident_c @ D @ B )
| ( incident_c @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(207,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ B )
| ( incident_c @ D @ A ) ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(208,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ C )
| ( incident_c @ D @ A ) ) )
= $true ),
inference(copy,[status(thm)],[192]) ).
thf(209,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(210,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(211,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(212,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(213,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(214,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( C
= ( sum @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(215,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(216,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( end_point @ A @ B )
| ~ ( part_of @ C @ B )
| ~ ( part_of @ D @ B )
| ~ ( incident_c @ A @ C )
| ~ ( incident_c @ A @ D )
| ( part_of @ C @ D )
| ( part_of @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(217,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( part_of @ ( ax0_sk3 @ B @ A ) @ B )
| ( end_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(218,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( part_of @ ( ax0_sk4 @ B @ A ) @ B )
| ( end_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(219,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( incident_c @ A @ ( ax0_sk3 @ B @ A ) )
| ( end_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(220,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( incident_c @ A @ ( ax0_sk4 @ B @ A ) )
| ( end_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(221,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( part_of @ ( ax0_sk3 @ B @ A ) @ ( ax0_sk4 @ B @ A ) )
| ( end_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(222,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( part_of @ ( ax0_sk4 @ B @ A ) @ ( ax0_sk3 @ B @ A ) )
| ( end_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(223,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(224,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ~ ( end_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(225,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( inner_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(226,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(227,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(228,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( meet @ A @ B @ C )
| ~ ( incident_c @ D @ B )
| ~ ( incident_c @ D @ C )
| ( end_point @ D @ B ) ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(229,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( meet @ A @ B @ C )
| ~ ( incident_c @ D @ B )
| ~ ( incident_c @ D @ C )
| ( end_point @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(230,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( incident_c @ A @ C )
| ( incident_c @ ( ax0_sk5 @ C @ B @ A ) @ B )
| ( meet @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(231,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( incident_c @ A @ C )
| ( incident_c @ ( ax0_sk5 @ C @ B @ A ) @ C )
| ( meet @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(232,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ A @ B )
| ~ ( incident_c @ A @ C )
| ~ ( end_point @ ( ax0_sk5 @ C @ B @ A ) @ B )
| ~ ( end_point @ ( ax0_sk5 @ C @ B @ A ) @ C )
| ( meet @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(233,plain,
( ( ! [A: $i,B: $i] :
( ~ ( closed @ A )
| ~ ( end_point @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(234,plain,
( ( ! [A: $i] :
( ( end_point @ ( ax0_sk6 @ A ) @ A )
| ( closed @ A ) ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(235,plain,
( ( ! [A: $i] :
( ~ ( open @ A )
| ( end_point @ ( ax0_sk7 @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(236,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( open @ B ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(237,plain,
( ( ! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ( A = B )
| ( open @ A ) ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(238,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( part_of @ A @ B )
| ~ ( part_of @ C @ B )
| ~ ( part_of @ D @ B )
| ~ ( end_point @ E @ A )
| ~ ( end_point @ E @ C )
| ~ ( end_point @ E @ D )
| ( part_of @ C @ D )
| ( part_of @ D @ C )
| ( part_of @ A @ C )
| ( part_of @ C @ A )
| ( part_of @ A @ D )
| ( part_of @ D @ A ) ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(239,plain,
( ( ! [A: $i] : ( inner_point @ ( ax0_sk8 @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(240,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( meet @ A @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(241,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( B
= ( sum @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(242,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( end_point @ A @ B )
| ~ ( end_point @ C @ B )
| ~ ( end_point @ D @ B )
| ( A = C )
| ( A = D )
| ( C = D ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(243,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( end_point @ ( ax0_sk11 @ A @ B ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(244,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( A
!= ( ax0_sk11 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(245,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( closed @ A )
| ~ ( meet @ B @ C @ D )
| ( A
!= ( sum @ C @ D ) )
| ~ ( end_point @ E @ C )
| ( meet @ E @ C @ D ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(246,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( ( ax0_sk12 @ C @ B )
= ( sum @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(247,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(248,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(249,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(250,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(251,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( B != D ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(252,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( part_of @ ( ax1_sk1 @ D @ C @ B @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(253,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( end_point @ B @ ( ax1_sk1 @ D @ C @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(254,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( end_point @ D @ ( ax1_sk1 @ D @ C @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(255,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( inner_point @ C @ ( ax1_sk1 @ D @ C @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(256,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( A = B )
| ~ ( part_of @ C @ D )
| ~ ( end_point @ A @ C )
| ~ ( end_point @ B @ C )
| ~ ( inner_point @ E @ C )
| ( between_c @ D @ A @ E @ B ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(257,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ B @ C )
| ( ordered_by @ A @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(258,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ B @ C )
| ( ordered_by @ A @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(259,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ C @ D )
| ( ordered_by @ A @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(260,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( ordered_by @ A @ C @ D )
| ( ordered_by @ A @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(261,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ~ ( ordered_by @ A @ C @ D )
| ( between_o @ A @ B @ C @ D ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(262,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ~ ( ordered_by @ A @ C @ D )
| ( between_o @ A @ D @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(263,plain,
( ( ! [A: $i,B: $i] :
( ~ ( start_point @ A @ B )
| ( incident_o @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(264,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( start_point @ A @ B )
| ( A = C )
| ~ ( incident_o @ C @ B )
| ( ordered_by @ B @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(265,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( A
!= ( ax2_sk1 @ B @ A ) )
| ( start_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(266,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( incident_o @ ( ax2_sk1 @ B @ A ) @ B )
| ( start_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(267,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ~ ( ordered_by @ B @ A @ ( ax2_sk1 @ B @ A ) )
| ( start_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(268,plain,
( ( ! [A: $i,B: $i] :
( ~ ( finish_point @ A @ B )
| ( incident_o @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(269,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( finish_point @ A @ B )
| ( A = C )
| ~ ( incident_o @ C @ B )
| ( ordered_by @ B @ C @ A ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(270,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( A
!= ( ax2_sk2 @ B @ A ) )
| ( finish_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(271,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( incident_o @ ( ax2_sk2 @ B @ A ) @ B )
| ( finish_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(272,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ~ ( ordered_by @ B @ ( ax2_sk2 @ B @ A ) @ A )
| ( finish_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(273,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ( incident_o @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(274,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( ordered_by @ A @ B @ C )
| ( incident_o @ C @ A ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(275,plain,
( ( ! [A: $i] : ( open @ ( ax2_sk3 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(276,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_o @ A @ B )
| ( incident_c @ A @ ( ax2_sk3 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(277,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ ( ax2_sk3 @ B ) )
| ( incident_o @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(278,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ~ ( incident_o @ E @ A )
| ( incident_c @ E @ ( ax2_sk4 @ A @ D @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(279,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ~ ( incident_c @ E @ ( ax2_sk4 @ A @ D @ C @ B ) )
| ( incident_o @ E @ A ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(280,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_o @ A @ B @ C @ D )
| ( between_c @ ( ax2_sk4 @ A @ D @ C @ B ) @ B @ C @ D ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(281,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(282,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ~ ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(283,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(284,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ A )
| ~ ( incident_o @ ( ax2_sk5 @ A @ B @ C @ D @ E ) @ B )
| ~ ( between_c @ A @ E @ D @ C )
| ( between_o @ B @ E @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(285,plain,
( ( ! [A: $i] : ( start_point @ ( ax2_sk6 @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(286,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( open @ A )
| ( B = C )
| ~ ( incident_c @ B @ A )
| ~ ( incident_c @ C @ A )
| ~ ( incident_o @ D @ ( ax2_sk7 @ A @ C @ B ) )
| ( incident_c @ D @ A ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(287,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( open @ A )
| ( B = C )
| ~ ( incident_c @ B @ A )
| ~ ( incident_c @ C @ A )
| ~ ( incident_c @ D @ A )
| ( incident_o @ D @ ( ax2_sk7 @ A @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(288,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( open @ A )
| ( B = C )
| ~ ( incident_c @ B @ A )
| ~ ( incident_c @ C @ A )
| ( ordered_by @ ( ax2_sk7 @ A @ C @ B ) @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(289,plain,
( ( ! [A: $i,B: $i] :
( ( ordered_by @ A @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ( ordered_by @ B @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(290,plain,
( ( ! [A: $i,B: $i] :
( ( ordered_by @ A @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ~ ( ordered_by @ A @ ( ax2_sk8 @ B @ A ) @ ( ax2_sk9 @ B @ A ) )
| ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(291,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ordered_by @ A @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ( ordered_by @ A @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(292,plain,
( ( ! [A: $i,B: $i] :
( ~ ( ordered_by @ A @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ~ ( ordered_by @ B @ ( ax2_sk8 @ A @ B ) @ ( ax2_sk9 @ A @ B ) )
| ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(293,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( underlying_curve @ B ) )
| ~ ( incident_o @ C @ B )
| ( incident_c @ C @ A ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(294,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( underlying_curve @ B ) )
| ~ ( incident_c @ C @ A )
| ( incident_o @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(295,plain,
( ( ! [A: $i,B: $i] :
( ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ( B
= ( underlying_curve @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(296,plain,
( ( ! [A: $i,B: $i] :
( ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ~ ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ( B
= ( underlying_curve @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(297,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ( B
= ( underlying_curve @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(298,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax2_sk10 @ A @ B ) @ B )
| ~ ( incident_o @ ( ax2_sk10 @ A @ B ) @ A )
| ( B
= ( underlying_curve @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(299,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[200]) ).
thf(300,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( incident_o @ SX0 @ SX1 )
| ( SX0
!= ( ax2_sk1 @ SX1 @ SX0 ) )
| ( start_point @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(301,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(302,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( SX0
!= ( ax0_sk11 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(303,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( incident_c @ SX3 @ SX2 )
| ( incident_c @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(304,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( underlying_curve @ SX1 ) )
| ~ ( incident_o @ SX2 @ SX1 )
| ( incident_c @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(305,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( closed @ SX0 )
| ~ ( meet @ SX1 @ SX2 @ SX3 )
| ( SX0
!= ( sum @ SX2 @ SX3 ) )
| ~ ( end_point @ SX4 @ SX2 )
| ( meet @ SX4 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(306,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( incident_o @ SX0 @ SX1 )
| ( SX0
!= ( ax2_sk2 @ SX1 @ SX0 ) )
| ( finish_point @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(307,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( SX0
!= ( sum @ SX1 @ SX2 ) )
| ~ ( incident_c @ SX3 @ SX0 )
| ( incident_c @ SX3 @ SX1 )
| ( incident_c @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(308,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( SX0
!= ( underlying_curve @ SX1 ) )
| ~ ( incident_c @ SX2 @ SX0 )
| ( incident_o @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(309,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
| ( SX1 != SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(310,plain,
! [SV1: $i] :
( ( ! [SY276: $i,SY277: $i] :
( ~ ( part_of @ SV1 @ SY276 )
| ~ ( incident_c @ SY277 @ SV1 )
| ( incident_c @ SY277 @ SY276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(311,plain,
! [SV2: $i] :
( ( ! [SY278: $i] :
( ( incident_c @ ( ax0_sk1 @ SV2 @ SY278 ) @ SV2 )
| ( part_of @ SV2 @ SY278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(312,plain,
! [SV3: $i] :
( ( ! [SY279: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ SV3 @ SY279 ) @ SY279 )
| ( part_of @ SV3 @ SY279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(313,plain,
! [SV4: $i] :
( ( ! [SY280: $i,SY281: $i] :
( ( incident_c @ ( ax0_sk2 @ SV4 @ SY280 @ SY281 ) @ SY281 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SY280 @ SY281 ) @ SY280 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SY280 @ SY281 ) @ SV4 )
| ( SY281
= ( sum @ SY280 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(314,plain,
! [SV5: $i] :
( ( ! [SY282: $i,SY283: $i] :
( ( incident_c @ ( ax0_sk2 @ SV5 @ SY282 @ SY283 ) @ SY283 )
| ~ ( incident_c @ ( ax0_sk2 @ SV5 @ SY282 @ SY283 ) @ SY283 )
| ( SY283
= ( sum @ SY282 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(315,plain,
! [SV6: $i] :
( ( ! [SY284: $i,SY285: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV6 @ SY284 @ SY285 ) @ SY284 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SY284 @ SY285 ) @ SY284 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SY284 @ SY285 ) @ SV6 )
| ( SY285
= ( sum @ SY284 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(316,plain,
! [SV7: $i] :
( ( ! [SY286: $i,SY287: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV7 @ SY286 @ SY287 ) @ SV7 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SY286 @ SY287 ) @ SY286 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SY286 @ SY287 ) @ SV7 )
| ( SY287
= ( sum @ SY286 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(317,plain,
! [SV8: $i] :
( ( ! [SY288: $i,SY289: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SY288 @ SY289 ) @ SY288 )
| ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SY288 @ SY289 ) @ SY289 )
| ( SY289
= ( sum @ SY288 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(318,plain,
! [SV9: $i] :
( ( ! [SY290: $i,SY291: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SY290 @ SY291 ) @ SV9 )
| ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SY290 @ SY291 ) @ SY291 )
| ( SY291
= ( sum @ SY290 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(319,plain,
! [SV10: $i] :
( ( ! [SY292: $i] :
( ~ ( end_point @ SV10 @ SY292 )
| ( incident_c @ SV10 @ SY292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(320,plain,
! [SV11: $i] :
( ( ! [SY293: $i,SY294: $i,SY295: $i] :
( ~ ( end_point @ SV11 @ SY293 )
| ~ ( part_of @ SY294 @ SY293 )
| ~ ( part_of @ SY295 @ SY293 )
| ~ ( incident_c @ SV11 @ SY294 )
| ~ ( incident_c @ SV11 @ SY295 )
| ( part_of @ SY294 @ SY295 )
| ( part_of @ SY295 @ SY294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(321,plain,
! [SV12: $i] :
( ( ! [SY296: $i] :
( ~ ( incident_c @ SV12 @ SY296 )
| ( part_of @ ( ax0_sk3 @ SY296 @ SV12 ) @ SY296 )
| ( end_point @ SV12 @ SY296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(322,plain,
! [SV13: $i] :
( ( ! [SY297: $i] :
( ~ ( incident_c @ SV13 @ SY297 )
| ( part_of @ ( ax0_sk4 @ SY297 @ SV13 ) @ SY297 )
| ( end_point @ SV13 @ SY297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(323,plain,
! [SV14: $i] :
( ( ! [SY298: $i] :
( ~ ( incident_c @ SV14 @ SY298 )
| ( incident_c @ SV14 @ ( ax0_sk3 @ SY298 @ SV14 ) )
| ( end_point @ SV14 @ SY298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(324,plain,
! [SV15: $i] :
( ( ! [SY299: $i] :
( ~ ( incident_c @ SV15 @ SY299 )
| ( incident_c @ SV15 @ ( ax0_sk4 @ SY299 @ SV15 ) )
| ( end_point @ SV15 @ SY299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(325,plain,
! [SV16: $i] :
( ( ! [SY300: $i] :
( ~ ( incident_c @ SV16 @ SY300 )
| ~ ( part_of @ ( ax0_sk3 @ SY300 @ SV16 ) @ ( ax0_sk4 @ SY300 @ SV16 ) )
| ( end_point @ SV16 @ SY300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(326,plain,
! [SV17: $i] :
( ( ! [SY301: $i] :
( ~ ( incident_c @ SV17 @ SY301 )
| ~ ( part_of @ ( ax0_sk4 @ SY301 @ SV17 ) @ ( ax0_sk3 @ SY301 @ SV17 ) )
| ( end_point @ SV17 @ SY301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(327,plain,
! [SV18: $i] :
( ( ! [SY302: $i] :
( ~ ( inner_point @ SV18 @ SY302 )
| ( incident_c @ SV18 @ SY302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(328,plain,
! [SV19: $i] :
( ( ! [SY303: $i] :
( ~ ( inner_point @ SV19 @ SY303 )
| ~ ( end_point @ SV19 @ SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(329,plain,
! [SV20: $i] :
( ( ! [SY304: $i] :
( ~ ( incident_c @ SV20 @ SY304 )
| ( end_point @ SV20 @ SY304 )
| ( inner_point @ SV20 @ SY304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(330,plain,
! [SV21: $i] :
( ( ! [SY305: $i,SY306: $i] :
( ~ ( meet @ SV21 @ SY305 @ SY306 )
| ( incident_c @ SV21 @ SY305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(331,plain,
! [SV22: $i] :
( ( ! [SY307: $i,SY308: $i] :
( ~ ( meet @ SV22 @ SY307 @ SY308 )
| ( incident_c @ SV22 @ SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(332,plain,
! [SV23: $i] :
( ( ! [SY309: $i,SY310: $i,SY311: $i] :
( ~ ( meet @ SV23 @ SY309 @ SY310 )
| ~ ( incident_c @ SY311 @ SY309 )
| ~ ( incident_c @ SY311 @ SY310 )
| ( end_point @ SY311 @ SY309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(333,plain,
! [SV24: $i] :
( ( ! [SY312: $i,SY313: $i,SY314: $i] :
( ~ ( meet @ SV24 @ SY312 @ SY313 )
| ~ ( incident_c @ SY314 @ SY312 )
| ~ ( incident_c @ SY314 @ SY313 )
| ( end_point @ SY314 @ SY313 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(334,plain,
! [SV25: $i] :
( ( ! [SY315: $i,SY316: $i] :
( ~ ( incident_c @ SV25 @ SY315 )
| ~ ( incident_c @ SV25 @ SY316 )
| ( incident_c @ ( ax0_sk5 @ SY316 @ SY315 @ SV25 ) @ SY315 )
| ( meet @ SV25 @ SY315 @ SY316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(335,plain,
! [SV26: $i] :
( ( ! [SY317: $i,SY318: $i] :
( ~ ( incident_c @ SV26 @ SY317 )
| ~ ( incident_c @ SV26 @ SY318 )
| ( incident_c @ ( ax0_sk5 @ SY318 @ SY317 @ SV26 ) @ SY318 )
| ( meet @ SV26 @ SY317 @ SY318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(336,plain,
! [SV27: $i] :
( ( ! [SY319: $i,SY320: $i] :
( ~ ( incident_c @ SV27 @ SY319 )
| ~ ( incident_c @ SV27 @ SY320 )
| ~ ( end_point @ ( ax0_sk5 @ SY320 @ SY319 @ SV27 ) @ SY319 )
| ~ ( end_point @ ( ax0_sk5 @ SY320 @ SY319 @ SV27 ) @ SY320 )
| ( meet @ SV27 @ SY319 @ SY320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(337,plain,
! [SV28: $i] :
( ( ! [SY321: $i] :
( ~ ( closed @ SV28 )
| ~ ( end_point @ SY321 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(338,plain,
! [SV29: $i] :
( ( ( end_point @ ( ax0_sk6 @ SV29 ) @ SV29 )
| ( closed @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(339,plain,
! [SV30: $i] :
( ( ~ ( open @ SV30 )
| ( end_point @ ( ax0_sk7 @ SV30 ) @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(340,plain,
! [SV31: $i] :
( ( ! [SY322: $i] :
( ~ ( end_point @ SV31 @ SY322 )
| ( open @ SY322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(341,plain,
! [SV32: $i] :
( ( ! [SY323: $i] :
( ~ ( part_of @ SV32 @ SY323 )
| ( SV32 = SY323 )
| ( open @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(342,plain,
! [SV33: $i] :
( ( ! [SY324: $i,SY325: $i,SY326: $i,SY327: $i] :
( ~ ( part_of @ SV33 @ SY324 )
| ~ ( part_of @ SY325 @ SY324 )
| ~ ( part_of @ SY326 @ SY324 )
| ~ ( end_point @ SY327 @ SV33 )
| ~ ( end_point @ SY327 @ SY325 )
| ~ ( end_point @ SY327 @ SY326 )
| ( part_of @ SY325 @ SY326 )
| ( part_of @ SY326 @ SY325 )
| ( part_of @ SV33 @ SY325 )
| ( part_of @ SY325 @ SV33 )
| ( part_of @ SV33 @ SY326 )
| ( part_of @ SY326 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(343,plain,
! [SV34: $i] :
( ( inner_point @ ( ax0_sk8 @ SV34 ) @ SV34 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(344,plain,
! [SV35: $i] :
( ( ! [SY328: $i] :
( ~ ( inner_point @ SV35 @ SY328 )
| ( meet @ SV35 @ ( ax0_sk9 @ SV35 @ SY328 ) @ ( ax0_sk10 @ SV35 @ SY328 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(345,plain,
! [SV36: $i] :
( ( ! [SY329: $i] :
( ~ ( inner_point @ SV36 @ SY329 )
| ( SY329
= ( sum @ ( ax0_sk9 @ SV36 @ SY329 ) @ ( ax0_sk10 @ SV36 @ SY329 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(346,plain,
! [SV37: $i] :
( ( ! [SY330: $i,SY331: $i,SY332: $i] :
( ~ ( end_point @ SV37 @ SY330 )
| ~ ( end_point @ SY331 @ SY330 )
| ~ ( end_point @ SY332 @ SY330 )
| ( SV37 = SY331 )
| ( SV37 = SY332 )
| ( SY331 = SY332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(347,plain,
! [SV38: $i] :
( ( ! [SY333: $i] :
( ~ ( end_point @ SV38 @ SY333 )
| ( end_point @ ( ax0_sk11 @ SV38 @ SY333 ) @ SY333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(348,plain,
! [SV39: $i] :
( ( ! [SY334: $i,SY335: $i] :
( ~ ( meet @ SV39 @ SY334 @ SY335 )
| ( ( ax0_sk12 @ SY335 @ SY334 )
= ( sum @ SY334 @ SY335 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(349,plain,
! [SV40: $i] :
( ( ! [SY336: $i] :
( ( incident_c @ ( ax0_sk13 @ SV40 @ SY336 ) @ SY336 )
| ( incident_c @ ( ax0_sk13 @ SV40 @ SY336 ) @ SV40 )
| ( SY336 = SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(350,plain,
! [SV41: $i] :
( ( ! [SY337: $i] :
( ( incident_c @ ( ax0_sk13 @ SV41 @ SY337 ) @ SY337 )
| ~ ( incident_c @ ( ax0_sk13 @ SV41 @ SY337 ) @ SY337 )
| ( SY337 = SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(351,plain,
! [SV42: $i] :
( ( ! [SY338: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ SV42 @ SY338 ) @ SV42 )
| ( incident_c @ ( ax0_sk13 @ SV42 @ SY338 ) @ SV42 )
| ( SY338 = SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(352,plain,
! [SV43: $i] :
( ( ! [SY339: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SY339 ) @ SV43 )
| ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SY339 ) @ SY339 )
| ( SY339 = SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(353,plain,
! [SV44: $i] :
( ( ! [SY340: $i,SY341: $i,SY342: $i] :
( ~ ( between_c @ SV44 @ SY340 @ SY341 @ SY342 )
| ( part_of @ ( ax1_sk1 @ SY342 @ SY341 @ SY340 @ SV44 ) @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(354,plain,
! [SV45: $i] :
( ( ! [SY343: $i,SY344: $i,SY345: $i] :
( ~ ( between_c @ SV45 @ SY343 @ SY344 @ SY345 )
| ( end_point @ SY343 @ ( ax1_sk1 @ SY345 @ SY344 @ SY343 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(355,plain,
! [SV46: $i] :
( ( ! [SY346: $i,SY347: $i,SY348: $i] :
( ~ ( between_c @ SV46 @ SY346 @ SY347 @ SY348 )
| ( end_point @ SY348 @ ( ax1_sk1 @ SY348 @ SY347 @ SY346 @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(356,plain,
! [SV47: $i] :
( ( ! [SY349: $i,SY350: $i,SY351: $i] :
( ~ ( between_c @ SV47 @ SY349 @ SY350 @ SY351 )
| ( inner_point @ SY350 @ ( ax1_sk1 @ SY351 @ SY350 @ SY349 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(357,plain,
! [SV48: $i] :
( ( ! [SY352: $i,SY353: $i,SY354: $i,SY355: $i] :
( ( SV48 = SY352 )
| ~ ( part_of @ SY353 @ SY354 )
| ~ ( end_point @ SV48 @ SY353 )
| ~ ( end_point @ SY352 @ SY353 )
| ~ ( inner_point @ SY355 @ SY353 )
| ( between_c @ SY354 @ SV48 @ SY355 @ SY352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(358,plain,
! [SV49: $i] :
( ( ! [SY356: $i,SY357: $i,SY358: $i] :
( ~ ( between_o @ SV49 @ SY356 @ SY357 @ SY358 )
| ( ordered_by @ SV49 @ SY356 @ SY357 )
| ( ordered_by @ SV49 @ SY358 @ SY357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(359,plain,
! [SV50: $i] :
( ( ! [SY359: $i,SY360: $i,SY361: $i] :
( ~ ( between_o @ SV50 @ SY359 @ SY360 @ SY361 )
| ( ordered_by @ SV50 @ SY359 @ SY360 )
| ( ordered_by @ SV50 @ SY360 @ SY359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(360,plain,
! [SV51: $i] :
( ( ! [SY362: $i,SY363: $i,SY364: $i] :
( ~ ( between_o @ SV51 @ SY362 @ SY363 @ SY364 )
| ( ordered_by @ SV51 @ SY363 @ SY364 )
| ( ordered_by @ SV51 @ SY364 @ SY363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(361,plain,
! [SV52: $i] :
( ( ! [SY365: $i,SY366: $i,SY367: $i] :
( ~ ( between_o @ SV52 @ SY365 @ SY366 @ SY367 )
| ( ordered_by @ SV52 @ SY366 @ SY367 )
| ( ordered_by @ SV52 @ SY366 @ SY365 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(362,plain,
! [SV53: $i] :
( ( ! [SY368: $i,SY369: $i,SY370: $i] :
( ~ ( ordered_by @ SV53 @ SY368 @ SY369 )
| ~ ( ordered_by @ SV53 @ SY369 @ SY370 )
| ( between_o @ SV53 @ SY368 @ SY369 @ SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(363,plain,
! [SV54: $i] :
( ( ! [SY371: $i,SY372: $i,SY373: $i] :
( ~ ( ordered_by @ SV54 @ SY371 @ SY372 )
| ~ ( ordered_by @ SV54 @ SY372 @ SY373 )
| ( between_o @ SV54 @ SY373 @ SY372 @ SY371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(364,plain,
! [SV55: $i] :
( ( ! [SY374: $i] :
( ~ ( start_point @ SV55 @ SY374 )
| ( incident_o @ SV55 @ SY374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(365,plain,
! [SV56: $i] :
( ( ! [SY375: $i,SY376: $i] :
( ~ ( start_point @ SV56 @ SY375 )
| ( SV56 = SY376 )
| ~ ( incident_o @ SY376 @ SY375 )
| ( ordered_by @ SY375 @ SV56 @ SY376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(366,plain,
! [SV57: $i] :
( ( ! [SY377: $i] :
( ~ ( incident_o @ SV57 @ SY377 )
| ( incident_o @ ( ax2_sk1 @ SY377 @ SV57 ) @ SY377 )
| ( start_point @ SV57 @ SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(367,plain,
! [SV58: $i] :
( ( ! [SY378: $i] :
( ~ ( incident_o @ SV58 @ SY378 )
| ~ ( ordered_by @ SY378 @ SV58 @ ( ax2_sk1 @ SY378 @ SV58 ) )
| ( start_point @ SV58 @ SY378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(368,plain,
! [SV59: $i] :
( ( ! [SY379: $i] :
( ~ ( finish_point @ SV59 @ SY379 )
| ( incident_o @ SV59 @ SY379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(369,plain,
! [SV60: $i] :
( ( ! [SY380: $i,SY381: $i] :
( ~ ( finish_point @ SV60 @ SY380 )
| ( SV60 = SY381 )
| ~ ( incident_o @ SY381 @ SY380 )
| ( ordered_by @ SY380 @ SY381 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(370,plain,
! [SV61: $i] :
( ( ! [SY382: $i] :
( ~ ( incident_o @ SV61 @ SY382 )
| ( incident_o @ ( ax2_sk2 @ SY382 @ SV61 ) @ SY382 )
| ( finish_point @ SV61 @ SY382 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(371,plain,
! [SV62: $i] :
( ( ! [SY383: $i] :
( ~ ( incident_o @ SV62 @ SY383 )
| ~ ( ordered_by @ SY383 @ ( ax2_sk2 @ SY383 @ SV62 ) @ SV62 )
| ( finish_point @ SV62 @ SY383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(372,plain,
! [SV63: $i] :
( ( ! [SY384: $i,SY385: $i] :
( ~ ( ordered_by @ SV63 @ SY384 @ SY385 )
| ( incident_o @ SY384 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(373,plain,
! [SV64: $i] :
( ( ! [SY386: $i,SY387: $i] :
( ~ ( ordered_by @ SV64 @ SY386 @ SY387 )
| ( incident_o @ SY387 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(374,plain,
! [SV65: $i] :
( ( open @ ( ax2_sk3 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(375,plain,
! [SV66: $i] :
( ( ! [SY388: $i] :
( ~ ( incident_o @ SV66 @ SY388 )
| ( incident_c @ SV66 @ ( ax2_sk3 @ SY388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(376,plain,
! [SV67: $i] :
( ( ! [SY389: $i] :
( ~ ( incident_c @ SV67 @ ( ax2_sk3 @ SY389 ) )
| ( incident_o @ SV67 @ SY389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(377,plain,
! [SV68: $i] :
( ( ! [SY390: $i,SY391: $i,SY392: $i,SY393: $i] :
( ~ ( between_o @ SV68 @ SY390 @ SY391 @ SY392 )
| ~ ( incident_o @ SY393 @ SV68 )
| ( incident_c @ SY393 @ ( ax2_sk4 @ SV68 @ SY392 @ SY391 @ SY390 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(378,plain,
! [SV69: $i] :
( ( ! [SY394: $i,SY395: $i,SY396: $i,SY397: $i] :
( ~ ( between_o @ SV69 @ SY394 @ SY395 @ SY396 )
| ~ ( incident_c @ SY397 @ ( ax2_sk4 @ SV69 @ SY396 @ SY395 @ SY394 ) )
| ( incident_o @ SY397 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(379,plain,
! [SV70: $i] :
( ( ! [SY398: $i,SY399: $i,SY400: $i] :
( ~ ( between_o @ SV70 @ SY398 @ SY399 @ SY400 )
| ( between_c @ ( ax2_sk4 @ SV70 @ SY400 @ SY399 @ SY398 ) @ SY398 @ SY399 @ SY400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(380,plain,
! [SV71: $i] :
( ( ! [SY401: $i,SY402: $i,SY403: $i,SY404: $i] :
( ( incident_o @ ( ax2_sk5 @ SV71 @ SY401 @ SY402 @ SY403 @ SY404 ) @ SY401 )
| ( incident_c @ ( ax2_sk5 @ SV71 @ SY401 @ SY402 @ SY403 @ SY404 ) @ SV71 )
| ~ ( between_c @ SV71 @ SY404 @ SY403 @ SY402 )
| ( between_o @ SY401 @ SY404 @ SY403 @ SY402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(381,plain,
! [SV72: $i] :
( ( ! [SY405: $i,SY406: $i,SY407: $i,SY408: $i] :
( ( incident_o @ ( ax2_sk5 @ SV72 @ SY405 @ SY406 @ SY407 @ SY408 ) @ SY405 )
| ~ ( incident_o @ ( ax2_sk5 @ SV72 @ SY405 @ SY406 @ SY407 @ SY408 ) @ SY405 )
| ~ ( between_c @ SV72 @ SY408 @ SY407 @ SY406 )
| ( between_o @ SY405 @ SY408 @ SY407 @ SY406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(382,plain,
! [SV73: $i] :
( ( ! [SY409: $i,SY410: $i,SY411: $i,SY412: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ SV73 @ SY409 @ SY410 @ SY411 @ SY412 ) @ SV73 )
| ( incident_c @ ( ax2_sk5 @ SV73 @ SY409 @ SY410 @ SY411 @ SY412 ) @ SV73 )
| ~ ( between_c @ SV73 @ SY412 @ SY411 @ SY410 )
| ( between_o @ SY409 @ SY412 @ SY411 @ SY410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(383,plain,
! [SV74: $i] :
( ( ! [SY413: $i,SY414: $i,SY415: $i,SY416: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ SV74 @ SY413 @ SY414 @ SY415 @ SY416 ) @ SV74 )
| ~ ( incident_o @ ( ax2_sk5 @ SV74 @ SY413 @ SY414 @ SY415 @ SY416 ) @ SY413 )
| ~ ( between_c @ SV74 @ SY416 @ SY415 @ SY414 )
| ( between_o @ SY413 @ SY416 @ SY415 @ SY414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(384,plain,
! [SV75: $i] :
( ( start_point @ ( ax2_sk6 @ SV75 ) @ SV75 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(385,plain,
! [SV76: $i] :
( ( ! [SY417: $i,SY418: $i,SY419: $i] :
( ~ ( open @ SV76 )
| ( SY417 = SY418 )
| ~ ( incident_c @ SY417 @ SV76 )
| ~ ( incident_c @ SY418 @ SV76 )
| ~ ( incident_o @ SY419 @ ( ax2_sk7 @ SV76 @ SY418 @ SY417 ) )
| ( incident_c @ SY419 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(386,plain,
! [SV77: $i] :
( ( ! [SY420: $i,SY421: $i,SY422: $i] :
( ~ ( open @ SV77 )
| ( SY420 = SY421 )
| ~ ( incident_c @ SY420 @ SV77 )
| ~ ( incident_c @ SY421 @ SV77 )
| ~ ( incident_c @ SY422 @ SV77 )
| ( incident_o @ SY422 @ ( ax2_sk7 @ SV77 @ SY421 @ SY420 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(387,plain,
! [SV78: $i] :
( ( ! [SY423: $i,SY424: $i] :
( ~ ( open @ SV78 )
| ( SY423 = SY424 )
| ~ ( incident_c @ SY423 @ SV78 )
| ~ ( incident_c @ SY424 @ SV78 )
| ( ordered_by @ ( ax2_sk7 @ SV78 @ SY424 @ SY423 ) @ SY423 @ SY424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(388,plain,
! [SV79: $i] :
( ( ! [SY425: $i] :
( ( ordered_by @ SV79 @ ( ax2_sk8 @ SY425 @ SV79 ) @ ( ax2_sk9 @ SY425 @ SV79 ) )
| ( ordered_by @ SY425 @ ( ax2_sk8 @ SY425 @ SV79 ) @ ( ax2_sk9 @ SY425 @ SV79 ) )
| ( SV79 = SY425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(389,plain,
! [SV80: $i] :
( ( ! [SY426: $i] :
( ( ordered_by @ SV80 @ ( ax2_sk8 @ SY426 @ SV80 ) @ ( ax2_sk9 @ SY426 @ SV80 ) )
| ~ ( ordered_by @ SV80 @ ( ax2_sk8 @ SY426 @ SV80 ) @ ( ax2_sk9 @ SY426 @ SV80 ) )
| ( SV80 = SY426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(390,plain,
! [SV81: $i] :
( ( ! [SY427: $i] :
( ~ ( ordered_by @ SV81 @ ( ax2_sk8 @ SV81 @ SY427 ) @ ( ax2_sk9 @ SV81 @ SY427 ) )
| ( ordered_by @ SV81 @ ( ax2_sk8 @ SV81 @ SY427 ) @ ( ax2_sk9 @ SV81 @ SY427 ) )
| ( SY427 = SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(391,plain,
! [SV82: $i] :
( ( ! [SY428: $i] :
( ~ ( ordered_by @ SV82 @ ( ax2_sk8 @ SV82 @ SY428 ) @ ( ax2_sk9 @ SV82 @ SY428 ) )
| ~ ( ordered_by @ SY428 @ ( ax2_sk8 @ SV82 @ SY428 ) @ ( ax2_sk9 @ SV82 @ SY428 ) )
| ( SY428 = SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(392,plain,
! [SV83: $i] :
( ( ! [SY429: $i] :
( ( incident_o @ ( ax2_sk10 @ SV83 @ SY429 ) @ SV83 )
| ( incident_c @ ( ax2_sk10 @ SV83 @ SY429 ) @ SY429 )
| ( SY429
= ( underlying_curve @ SV83 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(393,plain,
! [SV84: $i] :
( ( ! [SY430: $i] :
( ( incident_o @ ( ax2_sk10 @ SV84 @ SY430 ) @ SV84 )
| ~ ( incident_o @ ( ax2_sk10 @ SV84 @ SY430 ) @ SV84 )
| ( SY430
= ( underlying_curve @ SV84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(394,plain,
! [SV85: $i] :
( ( ! [SY431: $i] :
( ~ ( incident_c @ ( ax2_sk10 @ SV85 @ SY431 ) @ SY431 )
| ( incident_c @ ( ax2_sk10 @ SV85 @ SY431 ) @ SY431 )
| ( SY431
= ( underlying_curve @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(395,plain,
! [SV86: $i] :
( ( ! [SY432: $i] :
( ~ ( incident_c @ ( ax2_sk10 @ SV86 @ SY432 ) @ SY432 )
| ~ ( incident_o @ ( ax2_sk10 @ SV86 @ SY432 ) @ SV86 )
| ( SY432
= ( underlying_curve @ SV86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(396,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(397,plain,
! [SV87: $i] :
( ( ! [SY433: $i] :
( ~ ( incident_o @ SV87 @ SY433 )
| ( SV87
!= ( ax2_sk1 @ SY433 @ SV87 ) )
| ( start_point @ SV87 @ SY433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(398,plain,
! [SV88: $i] :
( ( ! [SY434: $i,SY435: $i,SY436: $i] :
( ( SV88
!= ( sum @ SY434 @ SY435 ) )
| ~ ( incident_c @ SY436 @ SY434 )
| ( incident_c @ SY436 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(399,plain,
! [SV89: $i] :
( ( ! [SY437: $i] :
( ~ ( end_point @ SV89 @ SY437 )
| ( SV89
!= ( ax0_sk11 @ SV89 @ SY437 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(400,plain,
! [SV90: $i] :
( ( ! [SY438: $i,SY439: $i,SY440: $i] :
( ( SV90
!= ( sum @ SY438 @ SY439 ) )
| ~ ( incident_c @ SY440 @ SY439 )
| ( incident_c @ SY440 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(401,plain,
! [SV91: $i] :
( ( ! [SY441: $i,SY442: $i] :
( ( SV91
!= ( underlying_curve @ SY441 ) )
| ~ ( incident_o @ SY442 @ SY441 )
| ( incident_c @ SY442 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(402,plain,
! [SV92: $i] :
( ( ! [SY443: $i,SY444: $i,SY445: $i,SY446: $i] :
( ~ ( closed @ SV92 )
| ~ ( meet @ SY443 @ SY444 @ SY445 )
| ( SV92
!= ( sum @ SY444 @ SY445 ) )
| ~ ( end_point @ SY446 @ SY444 )
| ( meet @ SY446 @ SY444 @ SY445 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(403,plain,
! [SV93: $i] :
( ( ! [SY447: $i] :
( ~ ( incident_o @ SV93 @ SY447 )
| ( SV93
!= ( ax2_sk2 @ SY447 @ SV93 ) )
| ( finish_point @ SV93 @ SY447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(404,plain,
! [SV94: $i] :
( ( ! [SY448: $i,SY449: $i,SY450: $i] :
( ( SV94
!= ( sum @ SY448 @ SY449 ) )
| ~ ( incident_c @ SY450 @ SV94 )
| ( incident_c @ SY450 @ SY448 )
| ( incident_c @ SY450 @ SY449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(405,plain,
! [SV95: $i] :
( ( ! [SY451: $i,SY452: $i] :
( ( SV95
!= ( underlying_curve @ SY451 ) )
| ~ ( incident_c @ SY452 @ SV95 )
| ( incident_o @ SY452 @ SY451 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(406,plain,
! [SV96: $i] :
( ( ! [SY453: $i,SY454: $i,SY455: $i] :
( ~ ( between_c @ SV96 @ SY453 @ SY454 @ SY455 )
| ( SY453 != SY455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(407,plain,
! [SV97: $i,SV1: $i] :
( ( ! [SY456: $i] :
( ~ ( part_of @ SV1 @ SV97 )
| ~ ( incident_c @ SY456 @ SV1 )
| ( incident_c @ SY456 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(408,plain,
! [SV98: $i,SV2: $i] :
( ( ( incident_c @ ( ax0_sk1 @ SV2 @ SV98 ) @ SV2 )
| ( part_of @ SV2 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(409,plain,
! [SV99: $i,SV3: $i] :
( ( ~ ( incident_c @ ( ax0_sk1 @ SV3 @ SV99 ) @ SV99 )
| ( part_of @ SV3 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(410,plain,
! [SV100: $i,SV4: $i] :
( ( ! [SY457: $i] :
( ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SY457 ) @ SY457 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SY457 ) @ SV100 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SY457 ) @ SV4 )
| ( SY457
= ( sum @ SV100 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(411,plain,
! [SV101: $i,SV5: $i] :
( ( ! [SY458: $i] :
( ( incident_c @ ( ax0_sk2 @ SV5 @ SV101 @ SY458 ) @ SY458 )
| ~ ( incident_c @ ( ax0_sk2 @ SV5 @ SV101 @ SY458 ) @ SY458 )
| ( SY458
= ( sum @ SV101 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(412,plain,
! [SV102: $i,SV6: $i] :
( ( ! [SY459: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SY459 ) @ SV102 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SY459 ) @ SV102 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SY459 ) @ SV6 )
| ( SY459
= ( sum @ SV102 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(413,plain,
! [SV103: $i,SV7: $i] :
( ( ! [SY460: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SY460 ) @ SV7 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SY460 ) @ SV103 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SY460 ) @ SV7 )
| ( SY460
= ( sum @ SV103 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(414,plain,
! [SV104: $i,SV8: $i] :
( ( ! [SY461: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SY461 ) @ SV104 )
| ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SY461 ) @ SY461 )
| ( SY461
= ( sum @ SV104 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(415,plain,
! [SV105: $i,SV9: $i] :
( ( ! [SY462: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SY462 ) @ SV9 )
| ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SY462 ) @ SY462 )
| ( SY462
= ( sum @ SV105 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(416,plain,
! [SV106: $i,SV10: $i] :
( ( ~ ( end_point @ SV10 @ SV106 )
| ( incident_c @ SV10 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(417,plain,
! [SV107: $i,SV11: $i] :
( ( ! [SY463: $i,SY464: $i] :
( ~ ( end_point @ SV11 @ SV107 )
| ~ ( part_of @ SY463 @ SV107 )
| ~ ( part_of @ SY464 @ SV107 )
| ~ ( incident_c @ SV11 @ SY463 )
| ~ ( incident_c @ SV11 @ SY464 )
| ( part_of @ SY463 @ SY464 )
| ( part_of @ SY464 @ SY463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(418,plain,
! [SV108: $i,SV12: $i] :
( ( ~ ( incident_c @ SV12 @ SV108 )
| ( part_of @ ( ax0_sk3 @ SV108 @ SV12 ) @ SV108 )
| ( end_point @ SV12 @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(419,plain,
! [SV109: $i,SV13: $i] :
( ( ~ ( incident_c @ SV13 @ SV109 )
| ( part_of @ ( ax0_sk4 @ SV109 @ SV13 ) @ SV109 )
| ( end_point @ SV13 @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(420,plain,
! [SV110: $i,SV14: $i] :
( ( ~ ( incident_c @ SV14 @ SV110 )
| ( incident_c @ SV14 @ ( ax0_sk3 @ SV110 @ SV14 ) )
| ( end_point @ SV14 @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(421,plain,
! [SV111: $i,SV15: $i] :
( ( ~ ( incident_c @ SV15 @ SV111 )
| ( incident_c @ SV15 @ ( ax0_sk4 @ SV111 @ SV15 ) )
| ( end_point @ SV15 @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(422,plain,
! [SV112: $i,SV16: $i] :
( ( ~ ( incident_c @ SV16 @ SV112 )
| ~ ( part_of @ ( ax0_sk3 @ SV112 @ SV16 ) @ ( ax0_sk4 @ SV112 @ SV16 ) )
| ( end_point @ SV16 @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(423,plain,
! [SV113: $i,SV17: $i] :
( ( ~ ( incident_c @ SV17 @ SV113 )
| ~ ( part_of @ ( ax0_sk4 @ SV113 @ SV17 ) @ ( ax0_sk3 @ SV113 @ SV17 ) )
| ( end_point @ SV17 @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(424,plain,
! [SV114: $i,SV18: $i] :
( ( ~ ( inner_point @ SV18 @ SV114 )
| ( incident_c @ SV18 @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(425,plain,
! [SV115: $i,SV19: $i] :
( ( ~ ( inner_point @ SV19 @ SV115 )
| ~ ( end_point @ SV19 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(426,plain,
! [SV116: $i,SV20: $i] :
( ( ~ ( incident_c @ SV20 @ SV116 )
| ( end_point @ SV20 @ SV116 )
| ( inner_point @ SV20 @ SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(427,plain,
! [SV117: $i,SV21: $i] :
( ( ! [SY465: $i] :
( ~ ( meet @ SV21 @ SV117 @ SY465 )
| ( incident_c @ SV21 @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(428,plain,
! [SV118: $i,SV22: $i] :
( ( ! [SY466: $i] :
( ~ ( meet @ SV22 @ SV118 @ SY466 )
| ( incident_c @ SV22 @ SY466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(429,plain,
! [SV119: $i,SV23: $i] :
( ( ! [SY467: $i,SY468: $i] :
( ~ ( meet @ SV23 @ SV119 @ SY467 )
| ~ ( incident_c @ SY468 @ SV119 )
| ~ ( incident_c @ SY468 @ SY467 )
| ( end_point @ SY468 @ SV119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(430,plain,
! [SV120: $i,SV24: $i] :
( ( ! [SY469: $i,SY470: $i] :
( ~ ( meet @ SV24 @ SV120 @ SY469 )
| ~ ( incident_c @ SY470 @ SV120 )
| ~ ( incident_c @ SY470 @ SY469 )
| ( end_point @ SY470 @ SY469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(431,plain,
! [SV121: $i,SV25: $i] :
( ( ! [SY471: $i] :
( ~ ( incident_c @ SV25 @ SV121 )
| ~ ( incident_c @ SV25 @ SY471 )
| ( incident_c @ ( ax0_sk5 @ SY471 @ SV121 @ SV25 ) @ SV121 )
| ( meet @ SV25 @ SV121 @ SY471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(432,plain,
! [SV122: $i,SV26: $i] :
( ( ! [SY472: $i] :
( ~ ( incident_c @ SV26 @ SV122 )
| ~ ( incident_c @ SV26 @ SY472 )
| ( incident_c @ ( ax0_sk5 @ SY472 @ SV122 @ SV26 ) @ SY472 )
| ( meet @ SV26 @ SV122 @ SY472 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(433,plain,
! [SV123: $i,SV27: $i] :
( ( ! [SY473: $i] :
( ~ ( incident_c @ SV27 @ SV123 )
| ~ ( incident_c @ SV27 @ SY473 )
| ~ ( end_point @ ( ax0_sk5 @ SY473 @ SV123 @ SV27 ) @ SV123 )
| ~ ( end_point @ ( ax0_sk5 @ SY473 @ SV123 @ SV27 ) @ SY473 )
| ( meet @ SV27 @ SV123 @ SY473 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(434,plain,
! [SV124: $i,SV28: $i] :
( ( ~ ( closed @ SV28 )
| ~ ( end_point @ SV124 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(435,plain,
! [SV29: $i] :
( ( ( end_point @ ( ax0_sk6 @ SV29 ) @ SV29 )
= $true )
| ( ( closed @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(436,plain,
! [SV30: $i] :
( ( ( ~ ( open @ SV30 ) )
= $true )
| ( ( end_point @ ( ax0_sk7 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(437,plain,
! [SV125: $i,SV31: $i] :
( ( ~ ( end_point @ SV31 @ SV125 )
| ( open @ SV125 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(438,plain,
! [SV126: $i,SV32: $i] :
( ( ~ ( part_of @ SV32 @ SV126 )
| ( SV32 = SV126 )
| ( open @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(439,plain,
! [SV127: $i,SV33: $i] :
( ( ! [SY474: $i,SY475: $i,SY476: $i] :
( ~ ( part_of @ SV33 @ SV127 )
| ~ ( part_of @ SY474 @ SV127 )
| ~ ( part_of @ SY475 @ SV127 )
| ~ ( end_point @ SY476 @ SV33 )
| ~ ( end_point @ SY476 @ SY474 )
| ~ ( end_point @ SY476 @ SY475 )
| ( part_of @ SY474 @ SY475 )
| ( part_of @ SY475 @ SY474 )
| ( part_of @ SV33 @ SY474 )
| ( part_of @ SY474 @ SV33 )
| ( part_of @ SV33 @ SY475 )
| ( part_of @ SY475 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(440,plain,
! [SV128: $i,SV35: $i] :
( ( ~ ( inner_point @ SV35 @ SV128 )
| ( meet @ SV35 @ ( ax0_sk9 @ SV35 @ SV128 ) @ ( ax0_sk10 @ SV35 @ SV128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(441,plain,
! [SV129: $i,SV36: $i] :
( ( ~ ( inner_point @ SV36 @ SV129 )
| ( SV129
= ( sum @ ( ax0_sk9 @ SV36 @ SV129 ) @ ( ax0_sk10 @ SV36 @ SV129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(442,plain,
! [SV130: $i,SV37: $i] :
( ( ! [SY477: $i,SY478: $i] :
( ~ ( end_point @ SV37 @ SV130 )
| ~ ( end_point @ SY477 @ SV130 )
| ~ ( end_point @ SY478 @ SV130 )
| ( SV37 = SY477 )
| ( SV37 = SY478 )
| ( SY477 = SY478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(443,plain,
! [SV131: $i,SV38: $i] :
( ( ~ ( end_point @ SV38 @ SV131 )
| ( end_point @ ( ax0_sk11 @ SV38 @ SV131 ) @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(444,plain,
! [SV132: $i,SV39: $i] :
( ( ! [SY479: $i] :
( ~ ( meet @ SV39 @ SV132 @ SY479 )
| ( ( ax0_sk12 @ SY479 @ SV132 )
= ( sum @ SV132 @ SY479 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(445,plain,
! [SV133: $i,SV40: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV40 @ SV133 ) @ SV133 )
| ( incident_c @ ( ax0_sk13 @ SV40 @ SV133 ) @ SV40 )
| ( SV133 = SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(446,plain,
! [SV134: $i,SV41: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV41 @ SV134 ) @ SV134 )
| ~ ( incident_c @ ( ax0_sk13 @ SV41 @ SV134 ) @ SV134 )
| ( SV134 = SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(447,plain,
! [SV135: $i,SV42: $i] :
( ( ~ ( incident_c @ ( ax0_sk13 @ SV42 @ SV135 ) @ SV42 )
| ( incident_c @ ( ax0_sk13 @ SV42 @ SV135 ) @ SV42 )
| ( SV135 = SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(448,plain,
! [SV136: $i,SV43: $i] :
( ( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV136 ) @ SV43 )
| ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV136 ) @ SV136 )
| ( SV136 = SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(449,plain,
! [SV137: $i,SV44: $i] :
( ( ! [SY480: $i,SY481: $i] :
( ~ ( between_c @ SV44 @ SV137 @ SY480 @ SY481 )
| ( part_of @ ( ax1_sk1 @ SY481 @ SY480 @ SV137 @ SV44 ) @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(450,plain,
! [SV138: $i,SV45: $i] :
( ( ! [SY482: $i,SY483: $i] :
( ~ ( between_c @ SV45 @ SV138 @ SY482 @ SY483 )
| ( end_point @ SV138 @ ( ax1_sk1 @ SY483 @ SY482 @ SV138 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(451,plain,
! [SV139: $i,SV46: $i] :
( ( ! [SY484: $i,SY485: $i] :
( ~ ( between_c @ SV46 @ SV139 @ SY484 @ SY485 )
| ( end_point @ SY485 @ ( ax1_sk1 @ SY485 @ SY484 @ SV139 @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(452,plain,
! [SV140: $i,SV47: $i] :
( ( ! [SY486: $i,SY487: $i] :
( ~ ( between_c @ SV47 @ SV140 @ SY486 @ SY487 )
| ( inner_point @ SY486 @ ( ax1_sk1 @ SY487 @ SY486 @ SV140 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(453,plain,
! [SV141: $i,SV48: $i] :
( ( ! [SY488: $i,SY489: $i,SY490: $i] :
( ( SV48 = SV141 )
| ~ ( part_of @ SY488 @ SY489 )
| ~ ( end_point @ SV48 @ SY488 )
| ~ ( end_point @ SV141 @ SY488 )
| ~ ( inner_point @ SY490 @ SY488 )
| ( between_c @ SY489 @ SV48 @ SY490 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(454,plain,
! [SV142: $i,SV49: $i] :
( ( ! [SY491: $i,SY492: $i] :
( ~ ( between_o @ SV49 @ SV142 @ SY491 @ SY492 )
| ( ordered_by @ SV49 @ SV142 @ SY491 )
| ( ordered_by @ SV49 @ SY492 @ SY491 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(455,plain,
! [SV143: $i,SV50: $i] :
( ( ! [SY493: $i,SY494: $i] :
( ~ ( between_o @ SV50 @ SV143 @ SY493 @ SY494 )
| ( ordered_by @ SV50 @ SV143 @ SY493 )
| ( ordered_by @ SV50 @ SY493 @ SV143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(456,plain,
! [SV144: $i,SV51: $i] :
( ( ! [SY495: $i,SY496: $i] :
( ~ ( between_o @ SV51 @ SV144 @ SY495 @ SY496 )
| ( ordered_by @ SV51 @ SY495 @ SY496 )
| ( ordered_by @ SV51 @ SY496 @ SY495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(457,plain,
! [SV145: $i,SV52: $i] :
( ( ! [SY497: $i,SY498: $i] :
( ~ ( between_o @ SV52 @ SV145 @ SY497 @ SY498 )
| ( ordered_by @ SV52 @ SY497 @ SY498 )
| ( ordered_by @ SV52 @ SY497 @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(458,plain,
! [SV146: $i,SV53: $i] :
( ( ! [SY499: $i,SY500: $i] :
( ~ ( ordered_by @ SV53 @ SV146 @ SY499 )
| ~ ( ordered_by @ SV53 @ SY499 @ SY500 )
| ( between_o @ SV53 @ SV146 @ SY499 @ SY500 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(459,plain,
! [SV147: $i,SV54: $i] :
( ( ! [SY501: $i,SY502: $i] :
( ~ ( ordered_by @ SV54 @ SV147 @ SY501 )
| ~ ( ordered_by @ SV54 @ SY501 @ SY502 )
| ( between_o @ SV54 @ SY502 @ SY501 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(460,plain,
! [SV148: $i,SV55: $i] :
( ( ~ ( start_point @ SV55 @ SV148 )
| ( incident_o @ SV55 @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(461,plain,
! [SV149: $i,SV56: $i] :
( ( ! [SY503: $i] :
( ~ ( start_point @ SV56 @ SV149 )
| ( SV56 = SY503 )
| ~ ( incident_o @ SY503 @ SV149 )
| ( ordered_by @ SV149 @ SV56 @ SY503 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(462,plain,
! [SV150: $i,SV57: $i] :
( ( ~ ( incident_o @ SV57 @ SV150 )
| ( incident_o @ ( ax2_sk1 @ SV150 @ SV57 ) @ SV150 )
| ( start_point @ SV57 @ SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(463,plain,
! [SV151: $i,SV58: $i] :
( ( ~ ( incident_o @ SV58 @ SV151 )
| ~ ( ordered_by @ SV151 @ SV58 @ ( ax2_sk1 @ SV151 @ SV58 ) )
| ( start_point @ SV58 @ SV151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(464,plain,
! [SV152: $i,SV59: $i] :
( ( ~ ( finish_point @ SV59 @ SV152 )
| ( incident_o @ SV59 @ SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(465,plain,
! [SV153: $i,SV60: $i] :
( ( ! [SY504: $i] :
( ~ ( finish_point @ SV60 @ SV153 )
| ( SV60 = SY504 )
| ~ ( incident_o @ SY504 @ SV153 )
| ( ordered_by @ SV153 @ SY504 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(466,plain,
! [SV154: $i,SV61: $i] :
( ( ~ ( incident_o @ SV61 @ SV154 )
| ( incident_o @ ( ax2_sk2 @ SV154 @ SV61 ) @ SV154 )
| ( finish_point @ SV61 @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(467,plain,
! [SV155: $i,SV62: $i] :
( ( ~ ( incident_o @ SV62 @ SV155 )
| ~ ( ordered_by @ SV155 @ ( ax2_sk2 @ SV155 @ SV62 ) @ SV62 )
| ( finish_point @ SV62 @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(468,plain,
! [SV156: $i,SV63: $i] :
( ( ! [SY505: $i] :
( ~ ( ordered_by @ SV63 @ SV156 @ SY505 )
| ( incident_o @ SV156 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(469,plain,
! [SV157: $i,SV64: $i] :
( ( ! [SY506: $i] :
( ~ ( ordered_by @ SV64 @ SV157 @ SY506 )
| ( incident_o @ SY506 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(470,plain,
! [SV158: $i,SV66: $i] :
( ( ~ ( incident_o @ SV66 @ SV158 )
| ( incident_c @ SV66 @ ( ax2_sk3 @ SV158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(471,plain,
! [SV159: $i,SV67: $i] :
( ( ~ ( incident_c @ SV67 @ ( ax2_sk3 @ SV159 ) )
| ( incident_o @ SV67 @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(472,plain,
! [SV160: $i,SV68: $i] :
( ( ! [SY507: $i,SY508: $i,SY509: $i] :
( ~ ( between_o @ SV68 @ SV160 @ SY507 @ SY508 )
| ~ ( incident_o @ SY509 @ SV68 )
| ( incident_c @ SY509 @ ( ax2_sk4 @ SV68 @ SY508 @ SY507 @ SV160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(473,plain,
! [SV161: $i,SV69: $i] :
( ( ! [SY510: $i,SY511: $i,SY512: $i] :
( ~ ( between_o @ SV69 @ SV161 @ SY510 @ SY511 )
| ~ ( incident_c @ SY512 @ ( ax2_sk4 @ SV69 @ SY511 @ SY510 @ SV161 ) )
| ( incident_o @ SY512 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(474,plain,
! [SV162: $i,SV70: $i] :
( ( ! [SY513: $i,SY514: $i] :
( ~ ( between_o @ SV70 @ SV162 @ SY513 @ SY514 )
| ( between_c @ ( ax2_sk4 @ SV70 @ SY514 @ SY513 @ SV162 ) @ SV162 @ SY513 @ SY514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(475,plain,
! [SV163: $i,SV71: $i] :
( ( ! [SY515: $i,SY516: $i,SY517: $i] :
( ( incident_o @ ( ax2_sk5 @ SV71 @ SV163 @ SY515 @ SY516 @ SY517 ) @ SV163 )
| ( incident_c @ ( ax2_sk5 @ SV71 @ SV163 @ SY515 @ SY516 @ SY517 ) @ SV71 )
| ~ ( between_c @ SV71 @ SY517 @ SY516 @ SY515 )
| ( between_o @ SV163 @ SY517 @ SY516 @ SY515 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(476,plain,
! [SV164: $i,SV72: $i] :
( ( ! [SY518: $i,SY519: $i,SY520: $i] :
( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SY518 @ SY519 @ SY520 ) @ SV164 )
| ~ ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SY518 @ SY519 @ SY520 ) @ SV164 )
| ~ ( between_c @ SV72 @ SY520 @ SY519 @ SY518 )
| ( between_o @ SV164 @ SY520 @ SY519 @ SY518 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(477,plain,
! [SV165: $i,SV73: $i] :
( ( ! [SY521: $i,SY522: $i,SY523: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SY521 @ SY522 @ SY523 ) @ SV73 )
| ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SY521 @ SY522 @ SY523 ) @ SV73 )
| ~ ( between_c @ SV73 @ SY523 @ SY522 @ SY521 )
| ( between_o @ SV165 @ SY523 @ SY522 @ SY521 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(478,plain,
! [SV166: $i,SV74: $i] :
( ( ! [SY524: $i,SY525: $i,SY526: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ SV74 @ SV166 @ SY524 @ SY525 @ SY526 ) @ SV74 )
| ~ ( incident_o @ ( ax2_sk5 @ SV74 @ SV166 @ SY524 @ SY525 @ SY526 ) @ SV166 )
| ~ ( between_c @ SV74 @ SY526 @ SY525 @ SY524 )
| ( between_o @ SV166 @ SY526 @ SY525 @ SY524 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(479,plain,
! [SV167: $i,SV76: $i] :
( ( ! [SY527: $i,SY528: $i] :
( ~ ( open @ SV76 )
| ( SV167 = SY527 )
| ~ ( incident_c @ SV167 @ SV76 )
| ~ ( incident_c @ SY527 @ SV76 )
| ~ ( incident_o @ SY528 @ ( ax2_sk7 @ SV76 @ SY527 @ SV167 ) )
| ( incident_c @ SY528 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(480,plain,
! [SV168: $i,SV77: $i] :
( ( ! [SY529: $i,SY530: $i] :
( ~ ( open @ SV77 )
| ( SV168 = SY529 )
| ~ ( incident_c @ SV168 @ SV77 )
| ~ ( incident_c @ SY529 @ SV77 )
| ~ ( incident_c @ SY530 @ SV77 )
| ( incident_o @ SY530 @ ( ax2_sk7 @ SV77 @ SY529 @ SV168 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(481,plain,
! [SV169: $i,SV78: $i] :
( ( ! [SY531: $i] :
( ~ ( open @ SV78 )
| ( SV169 = SY531 )
| ~ ( incident_c @ SV169 @ SV78 )
| ~ ( incident_c @ SY531 @ SV78 )
| ( ordered_by @ ( ax2_sk7 @ SV78 @ SY531 @ SV169 ) @ SV169 @ SY531 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(482,plain,
! [SV170: $i,SV79: $i] :
( ( ( ordered_by @ SV79 @ ( ax2_sk8 @ SV170 @ SV79 ) @ ( ax2_sk9 @ SV170 @ SV79 ) )
| ( ordered_by @ SV170 @ ( ax2_sk8 @ SV170 @ SV79 ) @ ( ax2_sk9 @ SV170 @ SV79 ) )
| ( SV79 = SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(483,plain,
! [SV171: $i,SV80: $i] :
( ( ( ordered_by @ SV80 @ ( ax2_sk8 @ SV171 @ SV80 ) @ ( ax2_sk9 @ SV171 @ SV80 ) )
| ~ ( ordered_by @ SV80 @ ( ax2_sk8 @ SV171 @ SV80 ) @ ( ax2_sk9 @ SV171 @ SV80 ) )
| ( SV80 = SV171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(484,plain,
! [SV172: $i,SV81: $i] :
( ( ~ ( ordered_by @ SV81 @ ( ax2_sk8 @ SV81 @ SV172 ) @ ( ax2_sk9 @ SV81 @ SV172 ) )
| ( ordered_by @ SV81 @ ( ax2_sk8 @ SV81 @ SV172 ) @ ( ax2_sk9 @ SV81 @ SV172 ) )
| ( SV172 = SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(485,plain,
! [SV173: $i,SV82: $i] :
( ( ~ ( ordered_by @ SV82 @ ( ax2_sk8 @ SV82 @ SV173 ) @ ( ax2_sk9 @ SV82 @ SV173 ) )
| ~ ( ordered_by @ SV173 @ ( ax2_sk8 @ SV82 @ SV173 ) @ ( ax2_sk9 @ SV82 @ SV173 ) )
| ( SV173 = SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(486,plain,
! [SV174: $i,SV83: $i] :
( ( ( incident_o @ ( ax2_sk10 @ SV83 @ SV174 ) @ SV83 )
| ( incident_c @ ( ax2_sk10 @ SV83 @ SV174 ) @ SV174 )
| ( SV174
= ( underlying_curve @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(487,plain,
! [SV175: $i,SV84: $i] :
( ( ( incident_o @ ( ax2_sk10 @ SV84 @ SV175 ) @ SV84 )
| ~ ( incident_o @ ( ax2_sk10 @ SV84 @ SV175 ) @ SV84 )
| ( SV175
= ( underlying_curve @ SV84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(488,plain,
! [SV176: $i,SV85: $i] :
( ( ~ ( incident_c @ ( ax2_sk10 @ SV85 @ SV176 ) @ SV176 )
| ( incident_c @ ( ax2_sk10 @ SV85 @ SV176 ) @ SV176 )
| ( SV176
= ( underlying_curve @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(489,plain,
! [SV177: $i,SV86: $i] :
( ( ~ ( incident_c @ ( ax2_sk10 @ SV86 @ SV177 ) @ SV177 )
| ~ ( incident_o @ ( ax2_sk10 @ SV86 @ SV177 ) @ SV86 )
| ( SV177
= ( underlying_curve @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(490,plain,
! [SV178: $i,SV87: $i] :
( ( ~ ( incident_o @ SV87 @ SV178 )
| ( SV87
!= ( ax2_sk1 @ SV178 @ SV87 ) )
| ( start_point @ SV87 @ SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(491,plain,
! [SV179: $i,SV88: $i] :
( ( ! [SY532: $i,SY533: $i] :
( ( SV88
!= ( sum @ SV179 @ SY532 ) )
| ~ ( incident_c @ SY533 @ SV179 )
| ( incident_c @ SY533 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(492,plain,
! [SV180: $i,SV89: $i] :
( ( ~ ( end_point @ SV89 @ SV180 )
| ( SV89
!= ( ax0_sk11 @ SV89 @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(493,plain,
! [SV181: $i,SV90: $i] :
( ( ! [SY534: $i,SY535: $i] :
( ( SV90
!= ( sum @ SV181 @ SY534 ) )
| ~ ( incident_c @ SY535 @ SY534 )
| ( incident_c @ SY535 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(494,plain,
! [SV182: $i,SV91: $i] :
( ( ! [SY536: $i] :
( ( SV91
!= ( underlying_curve @ SV182 ) )
| ~ ( incident_o @ SY536 @ SV182 )
| ( incident_c @ SY536 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(495,plain,
! [SV183: $i,SV92: $i] :
( ( ! [SY537: $i,SY538: $i,SY539: $i] :
( ~ ( closed @ SV92 )
| ~ ( meet @ SV183 @ SY537 @ SY538 )
| ( SV92
!= ( sum @ SY537 @ SY538 ) )
| ~ ( end_point @ SY539 @ SY537 )
| ( meet @ SY539 @ SY537 @ SY538 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(496,plain,
! [SV184: $i,SV93: $i] :
( ( ~ ( incident_o @ SV93 @ SV184 )
| ( SV93
!= ( ax2_sk2 @ SV184 @ SV93 ) )
| ( finish_point @ SV93 @ SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(497,plain,
! [SV185: $i,SV94: $i] :
( ( ! [SY540: $i,SY541: $i] :
( ( SV94
!= ( sum @ SV185 @ SY540 ) )
| ~ ( incident_c @ SY541 @ SV94 )
| ( incident_c @ SY541 @ SV185 )
| ( incident_c @ SY541 @ SY540 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(498,plain,
! [SV186: $i,SV95: $i] :
( ( ! [SY542: $i] :
( ( SV95
!= ( underlying_curve @ SV186 ) )
| ~ ( incident_c @ SY542 @ SV95 )
| ( incident_o @ SY542 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(499,plain,
! [SV187: $i,SV96: $i] :
( ( ! [SY543: $i,SY544: $i] :
( ~ ( between_c @ SV96 @ SV187 @ SY543 @ SY544 )
| ( SV187 != SY544 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(500,plain,
! [SV188: $i,SV97: $i,SV1: $i] :
( ( ~ ( part_of @ SV1 @ SV97 )
| ~ ( incident_c @ SV188 @ SV1 )
| ( incident_c @ SV188 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(501,plain,
! [SV98: $i,SV2: $i] :
( ( ( incident_c @ ( ax0_sk1 @ SV2 @ SV98 ) @ SV2 )
= $true )
| ( ( part_of @ SV2 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(502,plain,
! [SV99: $i,SV3: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk1 @ SV3 @ SV99 ) @ SV99 ) )
= $true )
| ( ( part_of @ SV3 @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(503,plain,
! [SV189: $i,SV100: $i,SV4: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV189 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV100 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV4 )
| ( SV189
= ( sum @ SV100 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(504,plain,
! [SV190: $i,SV101: $i,SV5: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV5 @ SV101 @ SV190 ) @ SV190 )
| ~ ( incident_c @ ( ax0_sk2 @ SV5 @ SV101 @ SV190 ) @ SV190 )
| ( SV190
= ( sum @ SV101 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(505,plain,
! [SV191: $i,SV102: $i,SV6: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV102 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV102 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV6 )
| ( SV191
= ( sum @ SV102 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(506,plain,
! [SV192: $i,SV103: $i,SV7: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV7 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV103 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV7 )
| ( SV192
= ( sum @ SV103 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(507,plain,
! [SV193: $i,SV104: $i,SV8: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SV193 ) @ SV104 )
| ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SV193 ) @ SV193 )
| ( SV193
= ( sum @ SV104 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(508,plain,
! [SV194: $i,SV105: $i,SV9: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SV194 ) @ SV9 )
| ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SV194 ) @ SV194 )
| ( SV194
= ( sum @ SV105 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(509,plain,
! [SV106: $i,SV10: $i] :
( ( ( ~ ( end_point @ SV10 @ SV106 ) )
= $true )
| ( ( incident_c @ SV10 @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(510,plain,
! [SV195: $i,SV107: $i,SV11: $i] :
( ( ! [SY545: $i] :
( ~ ( end_point @ SV11 @ SV107 )
| ~ ( part_of @ SV195 @ SV107 )
| ~ ( part_of @ SY545 @ SV107 )
| ~ ( incident_c @ SV11 @ SV195 )
| ~ ( incident_c @ SV11 @ SY545 )
| ( part_of @ SV195 @ SY545 )
| ( part_of @ SY545 @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(511,plain,
! [SV108: $i,SV12: $i] :
( ( ( ~ ( incident_c @ SV12 @ SV108 ) )
= $true )
| ( ( ( part_of @ ( ax0_sk3 @ SV108 @ SV12 ) @ SV108 )
| ( end_point @ SV12 @ SV108 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(512,plain,
! [SV109: $i,SV13: $i] :
( ( ( ~ ( incident_c @ SV13 @ SV109 ) )
= $true )
| ( ( ( part_of @ ( ax0_sk4 @ SV109 @ SV13 ) @ SV109 )
| ( end_point @ SV13 @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(513,plain,
! [SV110: $i,SV14: $i] :
( ( ( ~ ( incident_c @ SV14 @ SV110 ) )
= $true )
| ( ( ( incident_c @ SV14 @ ( ax0_sk3 @ SV110 @ SV14 ) )
| ( end_point @ SV14 @ SV110 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(514,plain,
! [SV111: $i,SV15: $i] :
( ( ( ~ ( incident_c @ SV15 @ SV111 ) )
= $true )
| ( ( ( incident_c @ SV15 @ ( ax0_sk4 @ SV111 @ SV15 ) )
| ( end_point @ SV15 @ SV111 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(515,plain,
! [SV112: $i,SV16: $i] :
( ( ( ~ ( incident_c @ SV16 @ SV112 ) )
= $true )
| ( ( ~ ( part_of @ ( ax0_sk3 @ SV112 @ SV16 ) @ ( ax0_sk4 @ SV112 @ SV16 ) )
| ( end_point @ SV16 @ SV112 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(516,plain,
! [SV113: $i,SV17: $i] :
( ( ( ~ ( incident_c @ SV17 @ SV113 ) )
= $true )
| ( ( ~ ( part_of @ ( ax0_sk4 @ SV113 @ SV17 ) @ ( ax0_sk3 @ SV113 @ SV17 ) )
| ( end_point @ SV17 @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(517,plain,
! [SV114: $i,SV18: $i] :
( ( ( ~ ( inner_point @ SV18 @ SV114 ) )
= $true )
| ( ( incident_c @ SV18 @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(518,plain,
! [SV115: $i,SV19: $i] :
( ( ( ~ ( inner_point @ SV19 @ SV115 ) )
= $true )
| ( ( ~ ( end_point @ SV19 @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(519,plain,
! [SV116: $i,SV20: $i] :
( ( ( ~ ( incident_c @ SV20 @ SV116 ) )
= $true )
| ( ( ( end_point @ SV20 @ SV116 )
| ( inner_point @ SV20 @ SV116 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(520,plain,
! [SV196: $i,SV117: $i,SV21: $i] :
( ( ~ ( meet @ SV21 @ SV117 @ SV196 )
| ( incident_c @ SV21 @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(521,plain,
! [SV197: $i,SV118: $i,SV22: $i] :
( ( ~ ( meet @ SV22 @ SV118 @ SV197 )
| ( incident_c @ SV22 @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(522,plain,
! [SV198: $i,SV119: $i,SV23: $i] :
( ( ! [SY546: $i] :
( ~ ( meet @ SV23 @ SV119 @ SV198 )
| ~ ( incident_c @ SY546 @ SV119 )
| ~ ( incident_c @ SY546 @ SV198 )
| ( end_point @ SY546 @ SV119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(523,plain,
! [SV199: $i,SV120: $i,SV24: $i] :
( ( ! [SY547: $i] :
( ~ ( meet @ SV24 @ SV120 @ SV199 )
| ~ ( incident_c @ SY547 @ SV120 )
| ~ ( incident_c @ SY547 @ SV199 )
| ( end_point @ SY547 @ SV199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(524,plain,
! [SV200: $i,SV121: $i,SV25: $i] :
( ( ~ ( incident_c @ SV25 @ SV121 )
| ~ ( incident_c @ SV25 @ SV200 )
| ( incident_c @ ( ax0_sk5 @ SV200 @ SV121 @ SV25 ) @ SV121 )
| ( meet @ SV25 @ SV121 @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(525,plain,
! [SV201: $i,SV122: $i,SV26: $i] :
( ( ~ ( incident_c @ SV26 @ SV122 )
| ~ ( incident_c @ SV26 @ SV201 )
| ( incident_c @ ( ax0_sk5 @ SV201 @ SV122 @ SV26 ) @ SV201 )
| ( meet @ SV26 @ SV122 @ SV201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(526,plain,
! [SV202: $i,SV123: $i,SV27: $i] :
( ( ~ ( incident_c @ SV27 @ SV123 )
| ~ ( incident_c @ SV27 @ SV202 )
| ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV123 )
| ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV202 )
| ( meet @ SV27 @ SV123 @ SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(527,plain,
! [SV124: $i,SV28: $i] :
( ( ( ~ ( closed @ SV28 ) )
= $true )
| ( ( ~ ( end_point @ SV124 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(528,plain,
! [SV30: $i] :
( ( ( open @ SV30 )
= $false )
| ( ( end_point @ ( ax0_sk7 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(529,plain,
! [SV125: $i,SV31: $i] :
( ( ( ~ ( end_point @ SV31 @ SV125 ) )
= $true )
| ( ( open @ SV125 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(530,plain,
! [SV126: $i,SV32: $i] :
( ( ( ~ ( part_of @ SV32 @ SV126 ) )
= $true )
| ( ( ( SV32 = SV126 )
| ( open @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(531,plain,
! [SV203: $i,SV127: $i,SV33: $i] :
( ( ! [SY548: $i,SY549: $i] :
( ~ ( part_of @ SV33 @ SV127 )
| ~ ( part_of @ SV203 @ SV127 )
| ~ ( part_of @ SY548 @ SV127 )
| ~ ( end_point @ SY549 @ SV33 )
| ~ ( end_point @ SY549 @ SV203 )
| ~ ( end_point @ SY549 @ SY548 )
| ( part_of @ SV203 @ SY548 )
| ( part_of @ SY548 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SY548 )
| ( part_of @ SY548 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(532,plain,
! [SV128: $i,SV35: $i] :
( ( ( ~ ( inner_point @ SV35 @ SV128 ) )
= $true )
| ( ( meet @ SV35 @ ( ax0_sk9 @ SV35 @ SV128 ) @ ( ax0_sk10 @ SV35 @ SV128 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(533,plain,
! [SV129: $i,SV36: $i] :
( ( ( ~ ( inner_point @ SV36 @ SV129 ) )
= $true )
| ( ( SV129
= ( sum @ ( ax0_sk9 @ SV36 @ SV129 ) @ ( ax0_sk10 @ SV36 @ SV129 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(534,plain,
! [SV204: $i,SV130: $i,SV37: $i] :
( ( ! [SY550: $i] :
( ~ ( end_point @ SV37 @ SV130 )
| ~ ( end_point @ SV204 @ SV130 )
| ~ ( end_point @ SY550 @ SV130 )
| ( SV37 = SV204 )
| ( SV37 = SY550 )
| ( SV204 = SY550 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(535,plain,
! [SV131: $i,SV38: $i] :
( ( ( ~ ( end_point @ SV38 @ SV131 ) )
= $true )
| ( ( end_point @ ( ax0_sk11 @ SV38 @ SV131 ) @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(536,plain,
! [SV205: $i,SV132: $i,SV39: $i] :
( ( ~ ( meet @ SV39 @ SV132 @ SV205 )
| ( ( ax0_sk12 @ SV205 @ SV132 )
= ( sum @ SV132 @ SV205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(537,plain,
! [SV133: $i,SV40: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV40 @ SV133 ) @ SV133 )
= $true )
| ( ( ( incident_c @ ( ax0_sk13 @ SV40 @ SV133 ) @ SV40 )
| ( SV133 = SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(538,plain,
! [SV134: $i,SV41: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV41 @ SV134 ) @ SV134 )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk13 @ SV41 @ SV134 ) @ SV134 )
| ( SV134 = SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(539,plain,
! [SV135: $i,SV42: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV42 @ SV135 ) @ SV42 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk13 @ SV42 @ SV135 ) @ SV42 )
| ( SV135 = SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(540,plain,
! [SV136: $i,SV43: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV136 ) @ SV43 ) )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV136 ) @ SV136 )
| ( SV136 = SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(541,plain,
! [SV206: $i,SV137: $i,SV44: $i] :
( ( ! [SY551: $i] :
( ~ ( between_c @ SV44 @ SV137 @ SV206 @ SY551 )
| ( part_of @ ( ax1_sk1 @ SY551 @ SV206 @ SV137 @ SV44 ) @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(542,plain,
! [SV207: $i,SV138: $i,SV45: $i] :
( ( ! [SY552: $i] :
( ~ ( between_c @ SV45 @ SV138 @ SV207 @ SY552 )
| ( end_point @ SV138 @ ( ax1_sk1 @ SY552 @ SV207 @ SV138 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(543,plain,
! [SV208: $i,SV139: $i,SV46: $i] :
( ( ! [SY553: $i] :
( ~ ( between_c @ SV46 @ SV139 @ SV208 @ SY553 )
| ( end_point @ SY553 @ ( ax1_sk1 @ SY553 @ SV208 @ SV139 @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(544,plain,
! [SV209: $i,SV140: $i,SV47: $i] :
( ( ! [SY554: $i] :
( ~ ( between_c @ SV47 @ SV140 @ SV209 @ SY554 )
| ( inner_point @ SV209 @ ( ax1_sk1 @ SY554 @ SV209 @ SV140 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(545,plain,
! [SV210: $i,SV141: $i,SV48: $i] :
( ( ! [SY555: $i,SY556: $i] :
( ( SV48 = SV141 )
| ~ ( part_of @ SV210 @ SY555 )
| ~ ( end_point @ SV48 @ SV210 )
| ~ ( end_point @ SV141 @ SV210 )
| ~ ( inner_point @ SY556 @ SV210 )
| ( between_c @ SY555 @ SV48 @ SY556 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(546,plain,
! [SV211: $i,SV142: $i,SV49: $i] :
( ( ! [SY557: $i] :
( ~ ( between_o @ SV49 @ SV142 @ SV211 @ SY557 )
| ( ordered_by @ SV49 @ SV142 @ SV211 )
| ( ordered_by @ SV49 @ SY557 @ SV211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(547,plain,
! [SV212: $i,SV143: $i,SV50: $i] :
( ( ! [SY558: $i] :
( ~ ( between_o @ SV50 @ SV143 @ SV212 @ SY558 )
| ( ordered_by @ SV50 @ SV143 @ SV212 )
| ( ordered_by @ SV50 @ SV212 @ SV143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(548,plain,
! [SV213: $i,SV144: $i,SV51: $i] :
( ( ! [SY559: $i] :
( ~ ( between_o @ SV51 @ SV144 @ SV213 @ SY559 )
| ( ordered_by @ SV51 @ SV213 @ SY559 )
| ( ordered_by @ SV51 @ SY559 @ SV213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(549,plain,
! [SV214: $i,SV145: $i,SV52: $i] :
( ( ! [SY560: $i] :
( ~ ( between_o @ SV52 @ SV145 @ SV214 @ SY560 )
| ( ordered_by @ SV52 @ SV214 @ SY560 )
| ( ordered_by @ SV52 @ SV214 @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(550,plain,
! [SV215: $i,SV146: $i,SV53: $i] :
( ( ! [SY561: $i] :
( ~ ( ordered_by @ SV53 @ SV146 @ SV215 )
| ~ ( ordered_by @ SV53 @ SV215 @ SY561 )
| ( between_o @ SV53 @ SV146 @ SV215 @ SY561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(551,plain,
! [SV216: $i,SV147: $i,SV54: $i] :
( ( ! [SY562: $i] :
( ~ ( ordered_by @ SV54 @ SV147 @ SV216 )
| ~ ( ordered_by @ SV54 @ SV216 @ SY562 )
| ( between_o @ SV54 @ SY562 @ SV216 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(552,plain,
! [SV148: $i,SV55: $i] :
( ( ( ~ ( start_point @ SV55 @ SV148 ) )
= $true )
| ( ( incident_o @ SV55 @ SV148 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(553,plain,
! [SV217: $i,SV149: $i,SV56: $i] :
( ( ~ ( start_point @ SV56 @ SV149 )
| ( SV56 = SV217 )
| ~ ( incident_o @ SV217 @ SV149 )
| ( ordered_by @ SV149 @ SV56 @ SV217 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(554,plain,
! [SV150: $i,SV57: $i] :
( ( ( ~ ( incident_o @ SV57 @ SV150 ) )
= $true )
| ( ( ( incident_o @ ( ax2_sk1 @ SV150 @ SV57 ) @ SV150 )
| ( start_point @ SV57 @ SV150 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(555,plain,
! [SV151: $i,SV58: $i] :
( ( ( ~ ( incident_o @ SV58 @ SV151 ) )
= $true )
| ( ( ~ ( ordered_by @ SV151 @ SV58 @ ( ax2_sk1 @ SV151 @ SV58 ) )
| ( start_point @ SV58 @ SV151 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(556,plain,
! [SV152: $i,SV59: $i] :
( ( ( ~ ( finish_point @ SV59 @ SV152 ) )
= $true )
| ( ( incident_o @ SV59 @ SV152 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(557,plain,
! [SV218: $i,SV153: $i,SV60: $i] :
( ( ~ ( finish_point @ SV60 @ SV153 )
| ( SV60 = SV218 )
| ~ ( incident_o @ SV218 @ SV153 )
| ( ordered_by @ SV153 @ SV218 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(558,plain,
! [SV154: $i,SV61: $i] :
( ( ( ~ ( incident_o @ SV61 @ SV154 ) )
= $true )
| ( ( ( incident_o @ ( ax2_sk2 @ SV154 @ SV61 ) @ SV154 )
| ( finish_point @ SV61 @ SV154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(559,plain,
! [SV155: $i,SV62: $i] :
( ( ( ~ ( incident_o @ SV62 @ SV155 ) )
= $true )
| ( ( ~ ( ordered_by @ SV155 @ ( ax2_sk2 @ SV155 @ SV62 ) @ SV62 )
| ( finish_point @ SV62 @ SV155 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(560,plain,
! [SV219: $i,SV156: $i,SV63: $i] :
( ( ~ ( ordered_by @ SV63 @ SV156 @ SV219 )
| ( incident_o @ SV156 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(561,plain,
! [SV220: $i,SV157: $i,SV64: $i] :
( ( ~ ( ordered_by @ SV64 @ SV157 @ SV220 )
| ( incident_o @ SV220 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(562,plain,
! [SV158: $i,SV66: $i] :
( ( ( ~ ( incident_o @ SV66 @ SV158 ) )
= $true )
| ( ( incident_c @ SV66 @ ( ax2_sk3 @ SV158 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(563,plain,
! [SV159: $i,SV67: $i] :
( ( ( ~ ( incident_c @ SV67 @ ( ax2_sk3 @ SV159 ) ) )
= $true )
| ( ( incident_o @ SV67 @ SV159 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(564,plain,
! [SV221: $i,SV160: $i,SV68: $i] :
( ( ! [SY563: $i,SY564: $i] :
( ~ ( between_o @ SV68 @ SV160 @ SV221 @ SY563 )
| ~ ( incident_o @ SY564 @ SV68 )
| ( incident_c @ SY564 @ ( ax2_sk4 @ SV68 @ SY563 @ SV221 @ SV160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(565,plain,
! [SV222: $i,SV161: $i,SV69: $i] :
( ( ! [SY565: $i,SY566: $i] :
( ~ ( between_o @ SV69 @ SV161 @ SV222 @ SY565 )
| ~ ( incident_c @ SY566 @ ( ax2_sk4 @ SV69 @ SY565 @ SV222 @ SV161 ) )
| ( incident_o @ SY566 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(566,plain,
! [SV223: $i,SV162: $i,SV70: $i] :
( ( ! [SY567: $i] :
( ~ ( between_o @ SV70 @ SV162 @ SV223 @ SY567 )
| ( between_c @ ( ax2_sk4 @ SV70 @ SY567 @ SV223 @ SV162 ) @ SV162 @ SV223 @ SY567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(567,plain,
! [SV224: $i,SV163: $i,SV71: $i] :
( ( ! [SY568: $i,SY569: $i] :
( ( incident_o @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SY568 @ SY569 ) @ SV163 )
| ( incident_c @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SY568 @ SY569 ) @ SV71 )
| ~ ( between_c @ SV71 @ SY569 @ SY568 @ SV224 )
| ( between_o @ SV163 @ SY569 @ SY568 @ SV224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(568,plain,
! [SV225: $i,SV164: $i,SV72: $i] :
( ( ! [SY570: $i,SY571: $i] :
( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SY570 @ SY571 ) @ SV164 )
| ~ ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SY570 @ SY571 ) @ SV164 )
| ~ ( between_c @ SV72 @ SY571 @ SY570 @ SV225 )
| ( between_o @ SV164 @ SY571 @ SY570 @ SV225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(569,plain,
! [SV226: $i,SV165: $i,SV73: $i] :
( ( ! [SY572: $i,SY573: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SY572 @ SY573 ) @ SV73 )
| ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SY572 @ SY573 ) @ SV73 )
| ~ ( between_c @ SV73 @ SY573 @ SY572 @ SV226 )
| ( between_o @ SV165 @ SY573 @ SY572 @ SV226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(570,plain,
! [SV227: $i,SV166: $i,SV74: $i] :
( ( ! [SY574: $i,SY575: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SY574 @ SY575 ) @ SV74 )
| ~ ( incident_o @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SY574 @ SY575 ) @ SV166 )
| ~ ( between_c @ SV74 @ SY575 @ SY574 @ SV227 )
| ( between_o @ SV166 @ SY575 @ SY574 @ SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(571,plain,
! [SV228: $i,SV167: $i,SV76: $i] :
( ( ! [SY576: $i] :
( ~ ( open @ SV76 )
| ( SV167 = SV228 )
| ~ ( incident_c @ SV167 @ SV76 )
| ~ ( incident_c @ SV228 @ SV76 )
| ~ ( incident_o @ SY576 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) )
| ( incident_c @ SY576 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(572,plain,
! [SV229: $i,SV168: $i,SV77: $i] :
( ( ! [SY577: $i] :
( ~ ( open @ SV77 )
| ( SV168 = SV229 )
| ~ ( incident_c @ SV168 @ SV77 )
| ~ ( incident_c @ SV229 @ SV77 )
| ~ ( incident_c @ SY577 @ SV77 )
| ( incident_o @ SY577 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(573,plain,
! [SV230: $i,SV169: $i,SV78: $i] :
( ( ~ ( open @ SV78 )
| ( SV169 = SV230 )
| ~ ( incident_c @ SV169 @ SV78 )
| ~ ( incident_c @ SV230 @ SV78 )
| ( ordered_by @ ( ax2_sk7 @ SV78 @ SV230 @ SV169 ) @ SV169 @ SV230 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(574,plain,
! [SV170: $i,SV79: $i] :
( ( ( ordered_by @ SV79 @ ( ax2_sk8 @ SV170 @ SV79 ) @ ( ax2_sk9 @ SV170 @ SV79 ) )
= $true )
| ( ( ( ordered_by @ SV170 @ ( ax2_sk8 @ SV170 @ SV79 ) @ ( ax2_sk9 @ SV170 @ SV79 ) )
| ( SV79 = SV170 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(575,plain,
! [SV171: $i,SV80: $i] :
( ( ( ordered_by @ SV80 @ ( ax2_sk8 @ SV171 @ SV80 ) @ ( ax2_sk9 @ SV171 @ SV80 ) )
= $true )
| ( ( ~ ( ordered_by @ SV80 @ ( ax2_sk8 @ SV171 @ SV80 ) @ ( ax2_sk9 @ SV171 @ SV80 ) )
| ( SV80 = SV171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(576,plain,
! [SV172: $i,SV81: $i] :
( ( ( ~ ( ordered_by @ SV81 @ ( ax2_sk8 @ SV81 @ SV172 ) @ ( ax2_sk9 @ SV81 @ SV172 ) ) )
= $true )
| ( ( ( ordered_by @ SV81 @ ( ax2_sk8 @ SV81 @ SV172 ) @ ( ax2_sk9 @ SV81 @ SV172 ) )
| ( SV172 = SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(577,plain,
! [SV173: $i,SV82: $i] :
( ( ( ~ ( ordered_by @ SV82 @ ( ax2_sk8 @ SV82 @ SV173 ) @ ( ax2_sk9 @ SV82 @ SV173 ) ) )
= $true )
| ( ( ~ ( ordered_by @ SV173 @ ( ax2_sk8 @ SV82 @ SV173 ) @ ( ax2_sk9 @ SV82 @ SV173 ) )
| ( SV173 = SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(578,plain,
! [SV174: $i,SV83: $i] :
( ( ( incident_o @ ( ax2_sk10 @ SV83 @ SV174 ) @ SV83 )
= $true )
| ( ( ( incident_c @ ( ax2_sk10 @ SV83 @ SV174 ) @ SV174 )
| ( SV174
= ( underlying_curve @ SV83 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(579,plain,
! [SV175: $i,SV84: $i] :
( ( ( incident_o @ ( ax2_sk10 @ SV84 @ SV175 ) @ SV84 )
= $true )
| ( ( ~ ( incident_o @ ( ax2_sk10 @ SV84 @ SV175 ) @ SV84 )
| ( SV175
= ( underlying_curve @ SV84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(580,plain,
! [SV176: $i,SV85: $i] :
( ( ( ~ ( incident_c @ ( ax2_sk10 @ SV85 @ SV176 ) @ SV176 ) )
= $true )
| ( ( ( incident_c @ ( ax2_sk10 @ SV85 @ SV176 ) @ SV176 )
| ( SV176
= ( underlying_curve @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(581,plain,
! [SV177: $i,SV86: $i] :
( ( ( ~ ( incident_c @ ( ax2_sk10 @ SV86 @ SV177 ) @ SV177 ) )
= $true )
| ( ( ~ ( incident_o @ ( ax2_sk10 @ SV86 @ SV177 ) @ SV86 )
| ( SV177
= ( underlying_curve @ SV86 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(582,plain,
! [SV178: $i,SV87: $i] :
( ( ( ~ ( incident_o @ SV87 @ SV178 ) )
= $true )
| ( ( ( SV87
!= ( ax2_sk1 @ SV178 @ SV87 ) )
| ( start_point @ SV87 @ SV178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(583,plain,
! [SV231: $i,SV179: $i,SV88: $i] :
( ( ! [SY578: $i] :
( ( SV88
!= ( sum @ SV179 @ SV231 ) )
| ~ ( incident_c @ SY578 @ SV179 )
| ( incident_c @ SY578 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(584,plain,
! [SV180: $i,SV89: $i] :
( ( ( ~ ( end_point @ SV89 @ SV180 ) )
= $true )
| ( ( SV89
!= ( ax0_sk11 @ SV89 @ SV180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(585,plain,
! [SV232: $i,SV181: $i,SV90: $i] :
( ( ! [SY579: $i] :
( ( SV90
!= ( sum @ SV181 @ SV232 ) )
| ~ ( incident_c @ SY579 @ SV232 )
| ( incident_c @ SY579 @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(586,plain,
! [SV233: $i,SV182: $i,SV91: $i] :
( ( ( SV91
!= ( underlying_curve @ SV182 ) )
| ~ ( incident_o @ SV233 @ SV182 )
| ( incident_c @ SV233 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(587,plain,
! [SV234: $i,SV183: $i,SV92: $i] :
( ( ! [SY580: $i,SY581: $i] :
( ~ ( closed @ SV92 )
| ~ ( meet @ SV183 @ SV234 @ SY580 )
| ( SV92
!= ( sum @ SV234 @ SY580 ) )
| ~ ( end_point @ SY581 @ SV234 )
| ( meet @ SY581 @ SV234 @ SY580 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(588,plain,
! [SV184: $i,SV93: $i] :
( ( ( ~ ( incident_o @ SV93 @ SV184 ) )
= $true )
| ( ( ( SV93
!= ( ax2_sk2 @ SV184 @ SV93 ) )
| ( finish_point @ SV93 @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(589,plain,
! [SV235: $i,SV185: $i,SV94: $i] :
( ( ! [SY582: $i] :
( ( SV94
!= ( sum @ SV185 @ SV235 ) )
| ~ ( incident_c @ SY582 @ SV94 )
| ( incident_c @ SY582 @ SV185 )
| ( incident_c @ SY582 @ SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(590,plain,
! [SV236: $i,SV186: $i,SV95: $i] :
( ( ( SV95
!= ( underlying_curve @ SV186 ) )
| ~ ( incident_c @ SV236 @ SV95 )
| ( incident_o @ SV236 @ SV186 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(591,plain,
! [SV237: $i,SV187: $i,SV96: $i] :
( ( ! [SY583: $i] :
( ~ ( between_c @ SV96 @ SV187 @ SV237 @ SY583 )
| ( SV187 != SY583 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(592,plain,
! [SV188: $i,SV97: $i,SV1: $i] :
( ( ( ~ ( part_of @ SV1 @ SV97 ) )
= $true )
| ( ( ~ ( incident_c @ SV188 @ SV1 )
| ( incident_c @ SV188 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(593,plain,
! [SV99: $i,SV3: $i] :
( ( ( incident_c @ ( ax0_sk1 @ SV3 @ SV99 ) @ SV99 )
= $false )
| ( ( part_of @ SV3 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(594,plain,
! [SV189: $i,SV100: $i,SV4: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV189 )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV100 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV4 )
| ( SV189
= ( sum @ SV100 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(595,plain,
! [SV190: $i,SV101: $i,SV5: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV5 @ SV101 @ SV190 ) @ SV190 )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV5 @ SV101 @ SV190 ) @ SV190 )
| ( SV190
= ( sum @ SV101 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(596,plain,
! [SV191: $i,SV102: $i,SV6: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV102 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV102 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV6 )
| ( SV191
= ( sum @ SV102 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(597,plain,
! [SV192: $i,SV103: $i,SV7: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV7 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV103 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV7 )
| ( SV192
= ( sum @ SV103 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(598,plain,
! [SV193: $i,SV104: $i,SV8: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SV193 ) @ SV104 ) )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SV193 ) @ SV193 )
| ( SV193
= ( sum @ SV104 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(599,plain,
! [SV194: $i,SV105: $i,SV9: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SV194 ) @ SV9 ) )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SV194 ) @ SV194 )
| ( SV194
= ( sum @ SV105 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(600,plain,
! [SV106: $i,SV10: $i] :
( ( ( end_point @ SV10 @ SV106 )
= $false )
| ( ( incident_c @ SV10 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(601,plain,
! [SV238: $i,SV195: $i,SV107: $i,SV11: $i] :
( ( ~ ( end_point @ SV11 @ SV107 )
| ~ ( part_of @ SV195 @ SV107 )
| ~ ( part_of @ SV238 @ SV107 )
| ~ ( incident_c @ SV11 @ SV195 )
| ~ ( incident_c @ SV11 @ SV238 )
| ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(602,plain,
! [SV108: $i,SV12: $i] :
( ( ( incident_c @ SV12 @ SV108 )
= $false )
| ( ( ( part_of @ ( ax0_sk3 @ SV108 @ SV12 ) @ SV108 )
| ( end_point @ SV12 @ SV108 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(603,plain,
! [SV109: $i,SV13: $i] :
( ( ( incident_c @ SV13 @ SV109 )
= $false )
| ( ( ( part_of @ ( ax0_sk4 @ SV109 @ SV13 ) @ SV109 )
| ( end_point @ SV13 @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(604,plain,
! [SV110: $i,SV14: $i] :
( ( ( incident_c @ SV14 @ SV110 )
= $false )
| ( ( ( incident_c @ SV14 @ ( ax0_sk3 @ SV110 @ SV14 ) )
| ( end_point @ SV14 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(605,plain,
! [SV111: $i,SV15: $i] :
( ( ( incident_c @ SV15 @ SV111 )
= $false )
| ( ( ( incident_c @ SV15 @ ( ax0_sk4 @ SV111 @ SV15 ) )
| ( end_point @ SV15 @ SV111 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(606,plain,
! [SV112: $i,SV16: $i] :
( ( ( incident_c @ SV16 @ SV112 )
= $false )
| ( ( ~ ( part_of @ ( ax0_sk3 @ SV112 @ SV16 ) @ ( ax0_sk4 @ SV112 @ SV16 ) )
| ( end_point @ SV16 @ SV112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(607,plain,
! [SV113: $i,SV17: $i] :
( ( ( incident_c @ SV17 @ SV113 )
= $false )
| ( ( ~ ( part_of @ ( ax0_sk4 @ SV113 @ SV17 ) @ ( ax0_sk3 @ SV113 @ SV17 ) )
| ( end_point @ SV17 @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(608,plain,
! [SV114: $i,SV18: $i] :
( ( ( inner_point @ SV18 @ SV114 )
= $false )
| ( ( incident_c @ SV18 @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(609,plain,
! [SV115: $i,SV19: $i] :
( ( ( inner_point @ SV19 @ SV115 )
= $false )
| ( ( ~ ( end_point @ SV19 @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(610,plain,
! [SV116: $i,SV20: $i] :
( ( ( incident_c @ SV20 @ SV116 )
= $false )
| ( ( ( end_point @ SV20 @ SV116 )
| ( inner_point @ SV20 @ SV116 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(611,plain,
! [SV196: $i,SV117: $i,SV21: $i] :
( ( ( ~ ( meet @ SV21 @ SV117 @ SV196 ) )
= $true )
| ( ( incident_c @ SV21 @ SV117 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(612,plain,
! [SV197: $i,SV118: $i,SV22: $i] :
( ( ( ~ ( meet @ SV22 @ SV118 @ SV197 ) )
= $true )
| ( ( incident_c @ SV22 @ SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(613,plain,
! [SV239: $i,SV198: $i,SV119: $i,SV23: $i] :
( ( ~ ( meet @ SV23 @ SV119 @ SV198 )
| ~ ( incident_c @ SV239 @ SV119 )
| ~ ( incident_c @ SV239 @ SV198 )
| ( end_point @ SV239 @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(614,plain,
! [SV240: $i,SV199: $i,SV120: $i,SV24: $i] :
( ( ~ ( meet @ SV24 @ SV120 @ SV199 )
| ~ ( incident_c @ SV240 @ SV120 )
| ~ ( incident_c @ SV240 @ SV199 )
| ( end_point @ SV240 @ SV199 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(615,plain,
! [SV200: $i,SV121: $i,SV25: $i] :
( ( ( ~ ( incident_c @ SV25 @ SV121 ) )
= $true )
| ( ( ~ ( incident_c @ SV25 @ SV200 )
| ( incident_c @ ( ax0_sk5 @ SV200 @ SV121 @ SV25 ) @ SV121 )
| ( meet @ SV25 @ SV121 @ SV200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(616,plain,
! [SV201: $i,SV122: $i,SV26: $i] :
( ( ( ~ ( incident_c @ SV26 @ SV122 ) )
= $true )
| ( ( ~ ( incident_c @ SV26 @ SV201 )
| ( incident_c @ ( ax0_sk5 @ SV201 @ SV122 @ SV26 ) @ SV201 )
| ( meet @ SV26 @ SV122 @ SV201 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(617,plain,
! [SV202: $i,SV123: $i,SV27: $i] :
( ( ( ~ ( incident_c @ SV27 @ SV123 ) )
= $true )
| ( ( ~ ( incident_c @ SV27 @ SV202 )
| ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV123 )
| ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV202 )
| ( meet @ SV27 @ SV123 @ SV202 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(618,plain,
! [SV124: $i,SV28: $i] :
( ( ( closed @ SV28 )
= $false )
| ( ( ~ ( end_point @ SV124 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(619,plain,
! [SV125: $i,SV31: $i] :
( ( ( end_point @ SV31 @ SV125 )
= $false )
| ( ( open @ SV125 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(620,plain,
! [SV126: $i,SV32: $i] :
( ( ( part_of @ SV32 @ SV126 )
= $false )
| ( ( ( SV32 = SV126 )
| ( open @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(621,plain,
! [SV241: $i,SV203: $i,SV127: $i,SV33: $i] :
( ( ! [SY584: $i] :
( ~ ( part_of @ SV33 @ SV127 )
| ~ ( part_of @ SV203 @ SV127 )
| ~ ( part_of @ SV241 @ SV127 )
| ~ ( end_point @ SY584 @ SV33 )
| ~ ( end_point @ SY584 @ SV203 )
| ~ ( end_point @ SY584 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(622,plain,
! [SV128: $i,SV35: $i] :
( ( ( inner_point @ SV35 @ SV128 )
= $false )
| ( ( meet @ SV35 @ ( ax0_sk9 @ SV35 @ SV128 ) @ ( ax0_sk10 @ SV35 @ SV128 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(623,plain,
! [SV129: $i,SV36: $i] :
( ( ( inner_point @ SV36 @ SV129 )
= $false )
| ( ( SV129
= ( sum @ ( ax0_sk9 @ SV36 @ SV129 ) @ ( ax0_sk10 @ SV36 @ SV129 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(624,plain,
! [SV242: $i,SV204: $i,SV130: $i,SV37: $i] :
( ( ~ ( end_point @ SV37 @ SV130 )
| ~ ( end_point @ SV204 @ SV130 )
| ~ ( end_point @ SV242 @ SV130 )
| ( SV37 = SV204 )
| ( SV37 = SV242 )
| ( SV204 = SV242 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(625,plain,
! [SV131: $i,SV38: $i] :
( ( ( end_point @ SV38 @ SV131 )
= $false )
| ( ( end_point @ ( ax0_sk11 @ SV38 @ SV131 ) @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(626,plain,
! [SV205: $i,SV132: $i,SV39: $i] :
( ( ( ~ ( meet @ SV39 @ SV132 @ SV205 ) )
= $true )
| ( ( ( ax0_sk12 @ SV205 @ SV132 )
= ( sum @ SV132 @ SV205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(627,plain,
! [SV133: $i,SV40: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV40 @ SV133 ) @ SV40 )
= $true )
| ( ( SV133 = SV40 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV40 @ SV133 ) @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(628,plain,
! [SV134: $i,SV41: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV41 @ SV134 ) @ SV134 ) )
= $true )
| ( ( SV134 = SV41 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV41 @ SV134 ) @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(629,plain,
! [SV135: $i,SV42: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV42 @ SV135 ) @ SV42 )
= $false )
| ( ( ( incident_c @ ( ax0_sk13 @ SV42 @ SV135 ) @ SV42 )
| ( SV135 = SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(630,plain,
! [SV136: $i,SV43: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV43 @ SV136 ) @ SV43 )
= $false )
| ( ( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV136 ) @ SV136 )
| ( SV136 = SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(631,plain,
! [SV243: $i,SV206: $i,SV137: $i,SV44: $i] :
( ( ~ ( between_c @ SV44 @ SV137 @ SV206 @ SV243 )
| ( part_of @ ( ax1_sk1 @ SV243 @ SV206 @ SV137 @ SV44 ) @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(632,plain,
! [SV244: $i,SV207: $i,SV138: $i,SV45: $i] :
( ( ~ ( between_c @ SV45 @ SV138 @ SV207 @ SV244 )
| ( end_point @ SV138 @ ( ax1_sk1 @ SV244 @ SV207 @ SV138 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(633,plain,
! [SV245: $i,SV208: $i,SV139: $i,SV46: $i] :
( ( ~ ( between_c @ SV46 @ SV139 @ SV208 @ SV245 )
| ( end_point @ SV245 @ ( ax1_sk1 @ SV245 @ SV208 @ SV139 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(634,plain,
! [SV246: $i,SV209: $i,SV140: $i,SV47: $i] :
( ( ~ ( between_c @ SV47 @ SV140 @ SV209 @ SV246 )
| ( inner_point @ SV209 @ ( ax1_sk1 @ SV246 @ SV209 @ SV140 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(635,plain,
! [SV247: $i,SV210: $i,SV141: $i,SV48: $i] :
( ( ! [SY585: $i] :
( ( SV48 = SV141 )
| ~ ( part_of @ SV210 @ SV247 )
| ~ ( end_point @ SV48 @ SV210 )
| ~ ( end_point @ SV141 @ SV210 )
| ~ ( inner_point @ SY585 @ SV210 )
| ( between_c @ SV247 @ SV48 @ SY585 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(636,plain,
! [SV248: $i,SV211: $i,SV142: $i,SV49: $i] :
( ( ~ ( between_o @ SV49 @ SV142 @ SV211 @ SV248 )
| ( ordered_by @ SV49 @ SV142 @ SV211 )
| ( ordered_by @ SV49 @ SV248 @ SV211 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(637,plain,
! [SV249: $i,SV212: $i,SV143: $i,SV50: $i] :
( ( ~ ( between_o @ SV50 @ SV143 @ SV212 @ SV249 )
| ( ordered_by @ SV50 @ SV143 @ SV212 )
| ( ordered_by @ SV50 @ SV212 @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(638,plain,
! [SV250: $i,SV213: $i,SV144: $i,SV51: $i] :
( ( ~ ( between_o @ SV51 @ SV144 @ SV213 @ SV250 )
| ( ordered_by @ SV51 @ SV213 @ SV250 )
| ( ordered_by @ SV51 @ SV250 @ SV213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(639,plain,
! [SV251: $i,SV214: $i,SV145: $i,SV52: $i] :
( ( ~ ( between_o @ SV52 @ SV145 @ SV214 @ SV251 )
| ( ordered_by @ SV52 @ SV214 @ SV251 )
| ( ordered_by @ SV52 @ SV214 @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(640,plain,
! [SV252: $i,SV215: $i,SV146: $i,SV53: $i] :
( ( ~ ( ordered_by @ SV53 @ SV146 @ SV215 )
| ~ ( ordered_by @ SV53 @ SV215 @ SV252 )
| ( between_o @ SV53 @ SV146 @ SV215 @ SV252 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(641,plain,
! [SV253: $i,SV216: $i,SV147: $i,SV54: $i] :
( ( ~ ( ordered_by @ SV54 @ SV147 @ SV216 )
| ~ ( ordered_by @ SV54 @ SV216 @ SV253 )
| ( between_o @ SV54 @ SV253 @ SV216 @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(642,plain,
! [SV148: $i,SV55: $i] :
( ( ( start_point @ SV55 @ SV148 )
= $false )
| ( ( incident_o @ SV55 @ SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(643,plain,
! [SV217: $i,SV149: $i,SV56: $i] :
( ( ( ~ ( start_point @ SV56 @ SV149 ) )
= $true )
| ( ( ( SV56 = SV217 )
| ~ ( incident_o @ SV217 @ SV149 )
| ( ordered_by @ SV149 @ SV56 @ SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(644,plain,
! [SV150: $i,SV57: $i] :
( ( ( incident_o @ SV57 @ SV150 )
= $false )
| ( ( ( incident_o @ ( ax2_sk1 @ SV150 @ SV57 ) @ SV150 )
| ( start_point @ SV57 @ SV150 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(645,plain,
! [SV151: $i,SV58: $i] :
( ( ( incident_o @ SV58 @ SV151 )
= $false )
| ( ( ~ ( ordered_by @ SV151 @ SV58 @ ( ax2_sk1 @ SV151 @ SV58 ) )
| ( start_point @ SV58 @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(646,plain,
! [SV152: $i,SV59: $i] :
( ( ( finish_point @ SV59 @ SV152 )
= $false )
| ( ( incident_o @ SV59 @ SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(647,plain,
! [SV218: $i,SV153: $i,SV60: $i] :
( ( ( ~ ( finish_point @ SV60 @ SV153 ) )
= $true )
| ( ( ( SV60 = SV218 )
| ~ ( incident_o @ SV218 @ SV153 )
| ( ordered_by @ SV153 @ SV218 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(648,plain,
! [SV154: $i,SV61: $i] :
( ( ( incident_o @ SV61 @ SV154 )
= $false )
| ( ( ( incident_o @ ( ax2_sk2 @ SV154 @ SV61 ) @ SV154 )
| ( finish_point @ SV61 @ SV154 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(649,plain,
! [SV155: $i,SV62: $i] :
( ( ( incident_o @ SV62 @ SV155 )
= $false )
| ( ( ~ ( ordered_by @ SV155 @ ( ax2_sk2 @ SV155 @ SV62 ) @ SV62 )
| ( finish_point @ SV62 @ SV155 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(650,plain,
! [SV219: $i,SV156: $i,SV63: $i] :
( ( ( ~ ( ordered_by @ SV63 @ SV156 @ SV219 ) )
= $true )
| ( ( incident_o @ SV156 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(651,plain,
! [SV220: $i,SV157: $i,SV64: $i] :
( ( ( ~ ( ordered_by @ SV64 @ SV157 @ SV220 ) )
= $true )
| ( ( incident_o @ SV220 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(652,plain,
! [SV158: $i,SV66: $i] :
( ( ( incident_o @ SV66 @ SV158 )
= $false )
| ( ( incident_c @ SV66 @ ( ax2_sk3 @ SV158 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(653,plain,
! [SV159: $i,SV67: $i] :
( ( ( incident_c @ SV67 @ ( ax2_sk3 @ SV159 ) )
= $false )
| ( ( incident_o @ SV67 @ SV159 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(654,plain,
! [SV254: $i,SV221: $i,SV160: $i,SV68: $i] :
( ( ! [SY586: $i] :
( ~ ( between_o @ SV68 @ SV160 @ SV221 @ SV254 )
| ~ ( incident_o @ SY586 @ SV68 )
| ( incident_c @ SY586 @ ( ax2_sk4 @ SV68 @ SV254 @ SV221 @ SV160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(655,plain,
! [SV255: $i,SV222: $i,SV161: $i,SV69: $i] :
( ( ! [SY587: $i] :
( ~ ( between_o @ SV69 @ SV161 @ SV222 @ SV255 )
| ~ ( incident_c @ SY587 @ ( ax2_sk4 @ SV69 @ SV255 @ SV222 @ SV161 ) )
| ( incident_o @ SY587 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(656,plain,
! [SV256: $i,SV223: $i,SV162: $i,SV70: $i] :
( ( ~ ( between_o @ SV70 @ SV162 @ SV223 @ SV256 )
| ( between_c @ ( ax2_sk4 @ SV70 @ SV256 @ SV223 @ SV162 ) @ SV162 @ SV223 @ SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(657,plain,
! [SV257: $i,SV224: $i,SV163: $i,SV71: $i] :
( ( ! [SY588: $i] :
( ( incident_o @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SY588 ) @ SV163 )
| ( incident_c @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SY588 ) @ SV71 )
| ~ ( between_c @ SV71 @ SY588 @ SV257 @ SV224 )
| ( between_o @ SV163 @ SY588 @ SV257 @ SV224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(658,plain,
! [SV258: $i,SV225: $i,SV164: $i,SV72: $i] :
( ( ! [SY589: $i] :
( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SY589 ) @ SV164 )
| ~ ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SY589 ) @ SV164 )
| ~ ( between_c @ SV72 @ SY589 @ SV258 @ SV225 )
| ( between_o @ SV164 @ SY589 @ SV258 @ SV225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(659,plain,
! [SV259: $i,SV226: $i,SV165: $i,SV73: $i] :
( ( ! [SY590: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SY590 ) @ SV73 )
| ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SY590 ) @ SV73 )
| ~ ( between_c @ SV73 @ SY590 @ SV259 @ SV226 )
| ( between_o @ SV165 @ SY590 @ SV259 @ SV226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(660,plain,
! [SV260: $i,SV227: $i,SV166: $i,SV74: $i] :
( ( ! [SY591: $i] :
( ~ ( incident_c @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SY591 ) @ SV74 )
| ~ ( incident_o @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SY591 ) @ SV166 )
| ~ ( between_c @ SV74 @ SY591 @ SV260 @ SV227 )
| ( between_o @ SV166 @ SY591 @ SV260 @ SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(661,plain,
! [SV261: $i,SV228: $i,SV167: $i,SV76: $i] :
( ( ~ ( open @ SV76 )
| ( SV167 = SV228 )
| ~ ( incident_c @ SV167 @ SV76 )
| ~ ( incident_c @ SV228 @ SV76 )
| ~ ( incident_o @ SV261 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) )
| ( incident_c @ SV261 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(662,plain,
! [SV262: $i,SV229: $i,SV168: $i,SV77: $i] :
( ( ~ ( open @ SV77 )
| ( SV168 = SV229 )
| ~ ( incident_c @ SV168 @ SV77 )
| ~ ( incident_c @ SV229 @ SV77 )
| ~ ( incident_c @ SV262 @ SV77 )
| ( incident_o @ SV262 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(663,plain,
! [SV230: $i,SV169: $i,SV78: $i] :
( ( ( ~ ( open @ SV78 ) )
= $true )
| ( ( ( SV169 = SV230 )
| ~ ( incident_c @ SV169 @ SV78 )
| ~ ( incident_c @ SV230 @ SV78 )
| ( ordered_by @ ( ax2_sk7 @ SV78 @ SV230 @ SV169 ) @ SV169 @ SV230 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(664,plain,
! [SV79: $i,SV170: $i] :
( ( ( ordered_by @ SV170 @ ( ax2_sk8 @ SV170 @ SV79 ) @ ( ax2_sk9 @ SV170 @ SV79 ) )
= $true )
| ( ( SV79 = SV170 )
= $true )
| ( ( ordered_by @ SV79 @ ( ax2_sk8 @ SV170 @ SV79 ) @ ( ax2_sk9 @ SV170 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(665,plain,
! [SV171: $i,SV80: $i] :
( ( ( ~ ( ordered_by @ SV80 @ ( ax2_sk8 @ SV171 @ SV80 ) @ ( ax2_sk9 @ SV171 @ SV80 ) ) )
= $true )
| ( ( SV80 = SV171 )
= $true )
| ( ( ordered_by @ SV80 @ ( ax2_sk8 @ SV171 @ SV80 ) @ ( ax2_sk9 @ SV171 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(666,plain,
! [SV172: $i,SV81: $i] :
( ( ( ordered_by @ SV81 @ ( ax2_sk8 @ SV81 @ SV172 ) @ ( ax2_sk9 @ SV81 @ SV172 ) )
= $false )
| ( ( ( ordered_by @ SV81 @ ( ax2_sk8 @ SV81 @ SV172 ) @ ( ax2_sk9 @ SV81 @ SV172 ) )
| ( SV172 = SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(667,plain,
! [SV173: $i,SV82: $i] :
( ( ( ordered_by @ SV82 @ ( ax2_sk8 @ SV82 @ SV173 ) @ ( ax2_sk9 @ SV82 @ SV173 ) )
= $false )
| ( ( ~ ( ordered_by @ SV173 @ ( ax2_sk8 @ SV82 @ SV173 ) @ ( ax2_sk9 @ SV82 @ SV173 ) )
| ( SV173 = SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(668,plain,
! [SV174: $i,SV83: $i] :
( ( ( incident_c @ ( ax2_sk10 @ SV83 @ SV174 ) @ SV174 )
= $true )
| ( ( SV174
= ( underlying_curve @ SV83 ) )
= $true )
| ( ( incident_o @ ( ax2_sk10 @ SV83 @ SV174 ) @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(669,plain,
! [SV175: $i,SV84: $i] :
( ( ( ~ ( incident_o @ ( ax2_sk10 @ SV84 @ SV175 ) @ SV84 ) )
= $true )
| ( ( SV175
= ( underlying_curve @ SV84 ) )
= $true )
| ( ( incident_o @ ( ax2_sk10 @ SV84 @ SV175 ) @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(670,plain,
! [SV176: $i,SV85: $i] :
( ( ( incident_c @ ( ax2_sk10 @ SV85 @ SV176 ) @ SV176 )
= $false )
| ( ( ( incident_c @ ( ax2_sk10 @ SV85 @ SV176 ) @ SV176 )
| ( SV176
= ( underlying_curve @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(671,plain,
! [SV177: $i,SV86: $i] :
( ( ( incident_c @ ( ax2_sk10 @ SV86 @ SV177 ) @ SV177 )
= $false )
| ( ( ~ ( incident_o @ ( ax2_sk10 @ SV86 @ SV177 ) @ SV86 )
| ( SV177
= ( underlying_curve @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(672,plain,
! [SV178: $i,SV87: $i] :
( ( ( incident_o @ SV87 @ SV178 )
= $false )
| ( ( ( SV87
!= ( ax2_sk1 @ SV178 @ SV87 ) )
| ( start_point @ SV87 @ SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(673,plain,
! [SV263: $i,SV231: $i,SV179: $i,SV88: $i] :
( ( ( SV88
!= ( sum @ SV179 @ SV231 ) )
| ~ ( incident_c @ SV263 @ SV179 )
| ( incident_c @ SV263 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(674,plain,
! [SV180: $i,SV89: $i] :
( ( ( end_point @ SV89 @ SV180 )
= $false )
| ( ( SV89
!= ( ax0_sk11 @ SV89 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(675,plain,
! [SV264: $i,SV232: $i,SV181: $i,SV90: $i] :
( ( ( SV90
!= ( sum @ SV181 @ SV232 ) )
| ~ ( incident_c @ SV264 @ SV232 )
| ( incident_c @ SV264 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(676,plain,
! [SV233: $i,SV182: $i,SV91: $i] :
( ( ( SV91
!= ( underlying_curve @ SV182 ) )
= $true )
| ( ( ~ ( incident_o @ SV233 @ SV182 )
| ( incident_c @ SV233 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(677,plain,
! [SV265: $i,SV234: $i,SV183: $i,SV92: $i] :
( ( ! [SY592: $i] :
( ~ ( closed @ SV92 )
| ~ ( meet @ SV183 @ SV234 @ SV265 )
| ( SV92
!= ( sum @ SV234 @ SV265 ) )
| ~ ( end_point @ SY592 @ SV234 )
| ( meet @ SY592 @ SV234 @ SV265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(678,plain,
! [SV184: $i,SV93: $i] :
( ( ( incident_o @ SV93 @ SV184 )
= $false )
| ( ( ( SV93
!= ( ax2_sk2 @ SV184 @ SV93 ) )
| ( finish_point @ SV93 @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(679,plain,
! [SV266: $i,SV235: $i,SV185: $i,SV94: $i] :
( ( ( SV94
!= ( sum @ SV185 @ SV235 ) )
| ~ ( incident_c @ SV266 @ SV94 )
| ( incident_c @ SV266 @ SV185 )
| ( incident_c @ SV266 @ SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(680,plain,
! [SV236: $i,SV186: $i,SV95: $i] :
( ( ( SV95
!= ( underlying_curve @ SV186 ) )
= $true )
| ( ( ~ ( incident_c @ SV236 @ SV95 )
| ( incident_o @ SV236 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(681,plain,
! [SV267: $i,SV237: $i,SV187: $i,SV96: $i] :
( ( ~ ( between_c @ SV96 @ SV187 @ SV237 @ SV267 )
| ( SV187 != SV267 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(682,plain,
! [SV188: $i,SV97: $i,SV1: $i] :
( ( ( part_of @ SV1 @ SV97 )
= $false )
| ( ( ~ ( incident_c @ SV188 @ SV1 )
| ( incident_c @ SV188 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(683,plain,
! [SV189: $i,SV100: $i,SV4: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV100 )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV4 )
| ( SV189
= ( sum @ SV100 @ SV4 ) ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV189 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(684,plain,
! [SV190: $i,SV101: $i,SV5: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV5 @ SV101 @ SV190 ) @ SV190 ) )
= $true )
| ( ( SV190
= ( sum @ SV101 @ SV5 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV5 @ SV101 @ SV190 ) @ SV190 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(685,plain,
! [SV191: $i,SV102: $i,SV6: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV102 )
= $false )
| ( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV102 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV6 )
| ( SV191
= ( sum @ SV102 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(686,plain,
! [SV192: $i,SV103: $i,SV7: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV7 )
= $false )
| ( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV103 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV7 )
| ( SV192
= ( sum @ SV103 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(687,plain,
! [SV193: $i,SV104: $i,SV8: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SV193 ) @ SV104 )
= $false )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SV193 ) @ SV193 )
| ( SV193
= ( sum @ SV104 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(688,plain,
! [SV194: $i,SV105: $i,SV9: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SV194 ) @ SV9 )
= $false )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SV194 ) @ SV194 )
| ( SV194
= ( sum @ SV105 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(689,plain,
! [SV238: $i,SV195: $i,SV107: $i,SV11: $i] :
( ( ( ~ ( end_point @ SV11 @ SV107 ) )
= $true )
| ( ( ~ ( part_of @ SV195 @ SV107 )
| ~ ( part_of @ SV238 @ SV107 )
| ~ ( incident_c @ SV11 @ SV195 )
| ~ ( incident_c @ SV11 @ SV238 )
| ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(690,plain,
! [SV12: $i,SV108: $i] :
( ( ( part_of @ ( ax0_sk3 @ SV108 @ SV12 ) @ SV108 )
= $true )
| ( ( end_point @ SV12 @ SV108 )
= $true )
| ( ( incident_c @ SV12 @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(691,plain,
! [SV13: $i,SV109: $i] :
( ( ( part_of @ ( ax0_sk4 @ SV109 @ SV13 ) @ SV109 )
= $true )
| ( ( end_point @ SV13 @ SV109 )
= $true )
| ( ( incident_c @ SV13 @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(692,plain,
! [SV110: $i,SV14: $i] :
( ( ( incident_c @ SV14 @ ( ax0_sk3 @ SV110 @ SV14 ) )
= $true )
| ( ( end_point @ SV14 @ SV110 )
= $true )
| ( ( incident_c @ SV14 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(693,plain,
! [SV111: $i,SV15: $i] :
( ( ( incident_c @ SV15 @ ( ax0_sk4 @ SV111 @ SV15 ) )
= $true )
| ( ( end_point @ SV15 @ SV111 )
= $true )
| ( ( incident_c @ SV15 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(694,plain,
! [SV16: $i,SV112: $i] :
( ( ( ~ ( part_of @ ( ax0_sk3 @ SV112 @ SV16 ) @ ( ax0_sk4 @ SV112 @ SV16 ) ) )
= $true )
| ( ( end_point @ SV16 @ SV112 )
= $true )
| ( ( incident_c @ SV16 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(695,plain,
! [SV17: $i,SV113: $i] :
( ( ( ~ ( part_of @ ( ax0_sk4 @ SV113 @ SV17 ) @ ( ax0_sk3 @ SV113 @ SV17 ) ) )
= $true )
| ( ( end_point @ SV17 @ SV113 )
= $true )
| ( ( incident_c @ SV17 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(696,plain,
! [SV115: $i,SV19: $i] :
( ( ( end_point @ SV19 @ SV115 )
= $false )
| ( ( inner_point @ SV19 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(697,plain,
! [SV116: $i,SV20: $i] :
( ( ( end_point @ SV20 @ SV116 )
= $true )
| ( ( inner_point @ SV20 @ SV116 )
= $true )
| ( ( incident_c @ SV20 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(698,plain,
! [SV196: $i,SV117: $i,SV21: $i] :
( ( ( meet @ SV21 @ SV117 @ SV196 )
= $false )
| ( ( incident_c @ SV21 @ SV117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(699,plain,
! [SV197: $i,SV118: $i,SV22: $i] :
( ( ( meet @ SV22 @ SV118 @ SV197 )
= $false )
| ( ( incident_c @ SV22 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(700,plain,
! [SV239: $i,SV198: $i,SV119: $i,SV23: $i] :
( ( ( ~ ( meet @ SV23 @ SV119 @ SV198 ) )
= $true )
| ( ( ~ ( incident_c @ SV239 @ SV119 )
| ~ ( incident_c @ SV239 @ SV198 )
| ( end_point @ SV239 @ SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(701,plain,
! [SV240: $i,SV199: $i,SV120: $i,SV24: $i] :
( ( ( ~ ( meet @ SV24 @ SV120 @ SV199 ) )
= $true )
| ( ( ~ ( incident_c @ SV240 @ SV120 )
| ~ ( incident_c @ SV240 @ SV199 )
| ( end_point @ SV240 @ SV199 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(702,plain,
! [SV200: $i,SV121: $i,SV25: $i] :
( ( ( incident_c @ SV25 @ SV121 )
= $false )
| ( ( ~ ( incident_c @ SV25 @ SV200 )
| ( incident_c @ ( ax0_sk5 @ SV200 @ SV121 @ SV25 ) @ SV121 )
| ( meet @ SV25 @ SV121 @ SV200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(703,plain,
! [SV201: $i,SV122: $i,SV26: $i] :
( ( ( incident_c @ SV26 @ SV122 )
= $false )
| ( ( ~ ( incident_c @ SV26 @ SV201 )
| ( incident_c @ ( ax0_sk5 @ SV201 @ SV122 @ SV26 ) @ SV201 )
| ( meet @ SV26 @ SV122 @ SV201 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(704,plain,
! [SV202: $i,SV123: $i,SV27: $i] :
( ( ( incident_c @ SV27 @ SV123 )
= $false )
| ( ( ~ ( incident_c @ SV27 @ SV202 )
| ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV123 )
| ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV202 )
| ( meet @ SV27 @ SV123 @ SV202 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(705,plain,
! [SV28: $i,SV124: $i] :
( ( ( end_point @ SV124 @ SV28 )
= $false )
| ( ( closed @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(706,plain,
! [SV126: $i,SV32: $i] :
( ( ( SV32 = SV126 )
= $true )
| ( ( open @ SV32 )
= $true )
| ( ( part_of @ SV32 @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(707,plain,
! [SV268: $i,SV241: $i,SV203: $i,SV127: $i,SV33: $i] :
( ( ~ ( part_of @ SV33 @ SV127 )
| ~ ( part_of @ SV203 @ SV127 )
| ~ ( part_of @ SV241 @ SV127 )
| ~ ( end_point @ SV268 @ SV33 )
| ~ ( end_point @ SV268 @ SV203 )
| ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(708,plain,
! [SV242: $i,SV204: $i,SV130: $i,SV37: $i] :
( ( ( ~ ( end_point @ SV37 @ SV130 ) )
= $true )
| ( ( ~ ( end_point @ SV204 @ SV130 )
| ~ ( end_point @ SV242 @ SV130 )
| ( SV37 = SV204 )
| ( SV37 = SV242 )
| ( SV204 = SV242 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(709,plain,
! [SV205: $i,SV132: $i,SV39: $i] :
( ( ( meet @ SV39 @ SV132 @ SV205 )
= $false )
| ( ( ( ax0_sk12 @ SV205 @ SV132 )
= ( sum @ SV132 @ SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(710,plain,
! [SV134: $i,SV41: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV41 @ SV134 ) @ SV134 )
= $false )
| ( ( SV134 = SV41 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV41 @ SV134 ) @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(711,plain,
! [SV135: $i,SV42: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV42 @ SV135 ) @ SV42 )
= $true )
| ( ( SV135 = SV42 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV42 @ SV135 ) @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(712,plain,
! [SV136: $i,SV43: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV136 ) @ SV136 ) )
= $true )
| ( ( SV136 = SV43 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV43 @ SV136 ) @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(713,plain,
! [SV243: $i,SV206: $i,SV137: $i,SV44: $i] :
( ( ( ~ ( between_c @ SV44 @ SV137 @ SV206 @ SV243 ) )
= $true )
| ( ( part_of @ ( ax1_sk1 @ SV243 @ SV206 @ SV137 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(714,plain,
! [SV244: $i,SV207: $i,SV138: $i,SV45: $i] :
( ( ( ~ ( between_c @ SV45 @ SV138 @ SV207 @ SV244 ) )
= $true )
| ( ( end_point @ SV138 @ ( ax1_sk1 @ SV244 @ SV207 @ SV138 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(715,plain,
! [SV245: $i,SV208: $i,SV139: $i,SV46: $i] :
( ( ( ~ ( between_c @ SV46 @ SV139 @ SV208 @ SV245 ) )
= $true )
| ( ( end_point @ SV245 @ ( ax1_sk1 @ SV245 @ SV208 @ SV139 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(716,plain,
! [SV246: $i,SV209: $i,SV140: $i,SV47: $i] :
( ( ( ~ ( between_c @ SV47 @ SV140 @ SV209 @ SV246 ) )
= $true )
| ( ( inner_point @ SV209 @ ( ax1_sk1 @ SV246 @ SV209 @ SV140 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(717,plain,
! [SV269: $i,SV247: $i,SV210: $i,SV141: $i,SV48: $i] :
( ( ( SV48 = SV141 )
| ~ ( part_of @ SV210 @ SV247 )
| ~ ( end_point @ SV48 @ SV210 )
| ~ ( end_point @ SV141 @ SV210 )
| ~ ( inner_point @ SV269 @ SV210 )
| ( between_c @ SV247 @ SV48 @ SV269 @ SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(718,plain,
! [SV248: $i,SV211: $i,SV142: $i,SV49: $i] :
( ( ( ~ ( between_o @ SV49 @ SV142 @ SV211 @ SV248 ) )
= $true )
| ( ( ( ordered_by @ SV49 @ SV142 @ SV211 )
| ( ordered_by @ SV49 @ SV248 @ SV211 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(719,plain,
! [SV249: $i,SV212: $i,SV143: $i,SV50: $i] :
( ( ( ~ ( between_o @ SV50 @ SV143 @ SV212 @ SV249 ) )
= $true )
| ( ( ( ordered_by @ SV50 @ SV143 @ SV212 )
| ( ordered_by @ SV50 @ SV212 @ SV143 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[637]) ).
thf(720,plain,
! [SV250: $i,SV213: $i,SV144: $i,SV51: $i] :
( ( ( ~ ( between_o @ SV51 @ SV144 @ SV213 @ SV250 ) )
= $true )
| ( ( ( ordered_by @ SV51 @ SV213 @ SV250 )
| ( ordered_by @ SV51 @ SV250 @ SV213 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(721,plain,
! [SV251: $i,SV214: $i,SV145: $i,SV52: $i] :
( ( ( ~ ( between_o @ SV52 @ SV145 @ SV214 @ SV251 ) )
= $true )
| ( ( ( ordered_by @ SV52 @ SV214 @ SV251 )
| ( ordered_by @ SV52 @ SV214 @ SV145 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(722,plain,
! [SV252: $i,SV215: $i,SV146: $i,SV53: $i] :
( ( ( ~ ( ordered_by @ SV53 @ SV146 @ SV215 ) )
= $true )
| ( ( ~ ( ordered_by @ SV53 @ SV215 @ SV252 )
| ( between_o @ SV53 @ SV146 @ SV215 @ SV252 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(723,plain,
! [SV253: $i,SV216: $i,SV147: $i,SV54: $i] :
( ( ( ~ ( ordered_by @ SV54 @ SV147 @ SV216 ) )
= $true )
| ( ( ~ ( ordered_by @ SV54 @ SV216 @ SV253 )
| ( between_o @ SV54 @ SV253 @ SV216 @ SV147 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(724,plain,
! [SV217: $i,SV149: $i,SV56: $i] :
( ( ( start_point @ SV56 @ SV149 )
= $false )
| ( ( ( SV56 = SV217 )
| ~ ( incident_o @ SV217 @ SV149 )
| ( ordered_by @ SV149 @ SV56 @ SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(725,plain,
! [SV57: $i,SV150: $i] :
( ( ( incident_o @ ( ax2_sk1 @ SV150 @ SV57 ) @ SV150 )
= $true )
| ( ( start_point @ SV57 @ SV150 )
= $true )
| ( ( incident_o @ SV57 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[644]) ).
thf(726,plain,
! [SV58: $i,SV151: $i] :
( ( ( ~ ( ordered_by @ SV151 @ SV58 @ ( ax2_sk1 @ SV151 @ SV58 ) ) )
= $true )
| ( ( start_point @ SV58 @ SV151 )
= $true )
| ( ( incident_o @ SV58 @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(727,plain,
! [SV218: $i,SV153: $i,SV60: $i] :
( ( ( finish_point @ SV60 @ SV153 )
= $false )
| ( ( ( SV60 = SV218 )
| ~ ( incident_o @ SV218 @ SV153 )
| ( ordered_by @ SV153 @ SV218 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(728,plain,
! [SV61: $i,SV154: $i] :
( ( ( incident_o @ ( ax2_sk2 @ SV154 @ SV61 ) @ SV154 )
= $true )
| ( ( finish_point @ SV61 @ SV154 )
= $true )
| ( ( incident_o @ SV61 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[648]) ).
thf(729,plain,
! [SV62: $i,SV155: $i] :
( ( ( ~ ( ordered_by @ SV155 @ ( ax2_sk2 @ SV155 @ SV62 ) @ SV62 ) )
= $true )
| ( ( finish_point @ SV62 @ SV155 )
= $true )
| ( ( incident_o @ SV62 @ SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[649]) ).
thf(730,plain,
! [SV219: $i,SV156: $i,SV63: $i] :
( ( ( ordered_by @ SV63 @ SV156 @ SV219 )
= $false )
| ( ( incident_o @ SV156 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(731,plain,
! [SV220: $i,SV157: $i,SV64: $i] :
( ( ( ordered_by @ SV64 @ SV157 @ SV220 )
= $false )
| ( ( incident_o @ SV220 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(732,plain,
! [SV270: $i,SV254: $i,SV221: $i,SV160: $i,SV68: $i] :
( ( ~ ( between_o @ SV68 @ SV160 @ SV221 @ SV254 )
| ~ ( incident_o @ SV270 @ SV68 )
| ( incident_c @ SV270 @ ( ax2_sk4 @ SV68 @ SV254 @ SV221 @ SV160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(733,plain,
! [SV271: $i,SV255: $i,SV222: $i,SV161: $i,SV69: $i] :
( ( ~ ( between_o @ SV69 @ SV161 @ SV222 @ SV255 )
| ~ ( incident_c @ SV271 @ ( ax2_sk4 @ SV69 @ SV255 @ SV222 @ SV161 ) )
| ( incident_o @ SV271 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(734,plain,
! [SV256: $i,SV223: $i,SV162: $i,SV70: $i] :
( ( ( ~ ( between_o @ SV70 @ SV162 @ SV223 @ SV256 ) )
= $true )
| ( ( between_c @ ( ax2_sk4 @ SV70 @ SV256 @ SV223 @ SV162 ) @ SV162 @ SV223 @ SV256 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(735,plain,
! [SV272: $i,SV257: $i,SV224: $i,SV163: $i,SV71: $i] :
( ( ( incident_o @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SV272 ) @ SV163 )
| ( incident_c @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SV272 ) @ SV71 )
| ~ ( between_c @ SV71 @ SV272 @ SV257 @ SV224 )
| ( between_o @ SV163 @ SV272 @ SV257 @ SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(736,plain,
! [SV273: $i,SV258: $i,SV225: $i,SV164: $i,SV72: $i] :
( ( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
| ~ ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
| ~ ( between_c @ SV72 @ SV273 @ SV258 @ SV225 )
| ( between_o @ SV164 @ SV273 @ SV258 @ SV225 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(737,plain,
! [SV274: $i,SV259: $i,SV226: $i,SV165: $i,SV73: $i] :
( ( ~ ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
| ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
| ~ ( between_c @ SV73 @ SV274 @ SV259 @ SV226 )
| ( between_o @ SV165 @ SV274 @ SV259 @ SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(738,plain,
! [SV275: $i,SV260: $i,SV227: $i,SV166: $i,SV74: $i] :
( ( ~ ( incident_c @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV74 )
| ~ ( incident_o @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV166 )
| ~ ( between_c @ SV74 @ SV275 @ SV260 @ SV227 )
| ( between_o @ SV166 @ SV275 @ SV260 @ SV227 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(739,plain,
! [SV261: $i,SV228: $i,SV167: $i,SV76: $i] :
( ( ( ~ ( open @ SV76 ) )
= $true )
| ( ( ( SV167 = SV228 )
| ~ ( incident_c @ SV167 @ SV76 )
| ~ ( incident_c @ SV228 @ SV76 )
| ~ ( incident_o @ SV261 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) )
| ( incident_c @ SV261 @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(740,plain,
! [SV262: $i,SV229: $i,SV168: $i,SV77: $i] :
( ( ( ~ ( open @ SV77 ) )
= $true )
| ( ( ( SV168 = SV229 )
| ~ ( incident_c @ SV168 @ SV77 )
| ~ ( incident_c @ SV229 @ SV77 )
| ~ ( incident_c @ SV262 @ SV77 )
| ( incident_o @ SV262 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(741,plain,
! [SV230: $i,SV169: $i,SV78: $i] :
( ( ( open @ SV78 )
= $false )
| ( ( ( SV169 = SV230 )
| ~ ( incident_c @ SV169 @ SV78 )
| ~ ( incident_c @ SV230 @ SV78 )
| ( ordered_by @ ( ax2_sk7 @ SV78 @ SV230 @ SV169 ) @ SV169 @ SV230 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(742,plain,
! [SV171: $i,SV80: $i] :
( ( ( ordered_by @ SV80 @ ( ax2_sk8 @ SV171 @ SV80 ) @ ( ax2_sk9 @ SV171 @ SV80 ) )
= $false )
| ( ( SV80 = SV171 )
= $true )
| ( ( ordered_by @ SV80 @ ( ax2_sk8 @ SV171 @ SV80 ) @ ( ax2_sk9 @ SV171 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(743,plain,
! [SV172: $i,SV81: $i] :
( ( ( ordered_by @ SV81 @ ( ax2_sk8 @ SV81 @ SV172 ) @ ( ax2_sk9 @ SV81 @ SV172 ) )
= $true )
| ( ( SV172 = SV81 )
= $true )
| ( ( ordered_by @ SV81 @ ( ax2_sk8 @ SV81 @ SV172 ) @ ( ax2_sk9 @ SV81 @ SV172 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(744,plain,
! [SV82: $i,SV173: $i] :
( ( ( ~ ( ordered_by @ SV173 @ ( ax2_sk8 @ SV82 @ SV173 ) @ ( ax2_sk9 @ SV82 @ SV173 ) ) )
= $true )
| ( ( SV173 = SV82 )
= $true )
| ( ( ordered_by @ SV82 @ ( ax2_sk8 @ SV82 @ SV173 ) @ ( ax2_sk9 @ SV82 @ SV173 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(745,plain,
! [SV175: $i,SV84: $i] :
( ( ( incident_o @ ( ax2_sk10 @ SV84 @ SV175 ) @ SV84 )
= $false )
| ( ( SV175
= ( underlying_curve @ SV84 ) )
= $true )
| ( ( incident_o @ ( ax2_sk10 @ SV84 @ SV175 ) @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(746,plain,
! [SV176: $i,SV85: $i] :
( ( ( incident_c @ ( ax2_sk10 @ SV85 @ SV176 ) @ SV176 )
= $true )
| ( ( SV176
= ( underlying_curve @ SV85 ) )
= $true )
| ( ( incident_c @ ( ax2_sk10 @ SV85 @ SV176 ) @ SV176 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(747,plain,
! [SV177: $i,SV86: $i] :
( ( ( ~ ( incident_o @ ( ax2_sk10 @ SV86 @ SV177 ) @ SV86 ) )
= $true )
| ( ( SV177
= ( underlying_curve @ SV86 ) )
= $true )
| ( ( incident_c @ ( ax2_sk10 @ SV86 @ SV177 ) @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(748,plain,
! [SV178: $i,SV87: $i] :
( ( ( SV87
!= ( ax2_sk1 @ SV178 @ SV87 ) )
= $true )
| ( ( start_point @ SV87 @ SV178 )
= $true )
| ( ( incident_o @ SV87 @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(749,plain,
! [SV263: $i,SV231: $i,SV179: $i,SV88: $i] :
( ( ( SV88
!= ( sum @ SV179 @ SV231 ) )
= $true )
| ( ( ~ ( incident_c @ SV263 @ SV179 )
| ( incident_c @ SV263 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(750,plain,
! [SV180: $i,SV89: $i] :
( ( ( SV89
= ( ax0_sk11 @ SV89 @ SV180 ) )
= $false )
| ( ( end_point @ SV89 @ SV180 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(751,plain,
! [SV264: $i,SV232: $i,SV181: $i,SV90: $i] :
( ( ( SV90
!= ( sum @ SV181 @ SV232 ) )
= $true )
| ( ( ~ ( incident_c @ SV264 @ SV232 )
| ( incident_c @ SV264 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(752,plain,
! [SV233: $i,SV182: $i,SV91: $i] :
( ( ( SV91
= ( underlying_curve @ SV182 ) )
= $false )
| ( ( ~ ( incident_o @ SV233 @ SV182 )
| ( incident_c @ SV233 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(753,plain,
! [SV276: $i,SV265: $i,SV234: $i,SV183: $i,SV92: $i] :
( ( ~ ( closed @ SV92 )
| ~ ( meet @ SV183 @ SV234 @ SV265 )
| ( SV92
!= ( sum @ SV234 @ SV265 ) )
| ~ ( end_point @ SV276 @ SV234 )
| ( meet @ SV276 @ SV234 @ SV265 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(754,plain,
! [SV184: $i,SV93: $i] :
( ( ( SV93
!= ( ax2_sk2 @ SV184 @ SV93 ) )
= $true )
| ( ( finish_point @ SV93 @ SV184 )
= $true )
| ( ( incident_o @ SV93 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(755,plain,
! [SV266: $i,SV235: $i,SV185: $i,SV94: $i] :
( ( ( SV94
!= ( sum @ SV185 @ SV235 ) )
= $true )
| ( ( ~ ( incident_c @ SV266 @ SV94 )
| ( incident_c @ SV266 @ SV185 )
| ( incident_c @ SV266 @ SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(756,plain,
! [SV236: $i,SV186: $i,SV95: $i] :
( ( ( SV95
= ( underlying_curve @ SV186 ) )
= $false )
| ( ( ~ ( incident_c @ SV236 @ SV95 )
| ( incident_o @ SV236 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(757,plain,
! [SV267: $i,SV237: $i,SV187: $i,SV96: $i] :
( ( ( ~ ( between_c @ SV96 @ SV187 @ SV237 @ SV267 ) )
= $true )
| ( ( SV187 != SV267 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(758,plain,
! [SV97: $i,SV1: $i,SV188: $i] :
( ( ( ~ ( incident_c @ SV188 @ SV1 ) )
= $true )
| ( ( incident_c @ SV188 @ SV97 )
= $true )
| ( ( part_of @ SV1 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(759,plain,
! [SV189: $i,SV100: $i,SV4: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV4 )
= $true )
| ( ( SV189
= ( sum @ SV100 @ SV4 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV100 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV100 @ SV189 ) @ SV189 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(760,plain,
! [SV190: $i,SV101: $i,SV5: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV5 @ SV101 @ SV190 ) @ SV190 )
= $false )
| ( ( SV190
= ( sum @ SV101 @ SV5 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV5 @ SV101 @ SV190 ) @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(761,plain,
! [SV191: $i,SV102: $i,SV6: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV102 )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV6 )
| ( SV191
= ( sum @ SV102 @ SV6 ) ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(762,plain,
! [SV192: $i,SV103: $i,SV7: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV103 )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV7 )
| ( SV192
= ( sum @ SV103 @ SV7 ) ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(763,plain,
! [SV193: $i,SV104: $i,SV8: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SV193 ) @ SV193 ) )
= $true )
| ( ( SV193
= ( sum @ SV104 @ SV8 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SV193 ) @ SV104 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(764,plain,
! [SV194: $i,SV105: $i,SV9: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SV194 ) @ SV194 ) )
= $true )
| ( ( SV194
= ( sum @ SV105 @ SV9 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SV194 ) @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(765,plain,
! [SV238: $i,SV195: $i,SV107: $i,SV11: $i] :
( ( ( end_point @ SV11 @ SV107 )
= $false )
| ( ( ~ ( part_of @ SV195 @ SV107 )
| ~ ( part_of @ SV238 @ SV107 )
| ~ ( incident_c @ SV11 @ SV195 )
| ~ ( incident_c @ SV11 @ SV238 )
| ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(766,plain,
! [SV16: $i,SV112: $i] :
( ( ( part_of @ ( ax0_sk3 @ SV112 @ SV16 ) @ ( ax0_sk4 @ SV112 @ SV16 ) )
= $false )
| ( ( end_point @ SV16 @ SV112 )
= $true )
| ( ( incident_c @ SV16 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(767,plain,
! [SV17: $i,SV113: $i] :
( ( ( part_of @ ( ax0_sk4 @ SV113 @ SV17 ) @ ( ax0_sk3 @ SV113 @ SV17 ) )
= $false )
| ( ( end_point @ SV17 @ SV113 )
= $true )
| ( ( incident_c @ SV17 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(768,plain,
! [SV239: $i,SV198: $i,SV119: $i,SV23: $i] :
( ( ( meet @ SV23 @ SV119 @ SV198 )
= $false )
| ( ( ~ ( incident_c @ SV239 @ SV119 )
| ~ ( incident_c @ SV239 @ SV198 )
| ( end_point @ SV239 @ SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(769,plain,
! [SV240: $i,SV199: $i,SV120: $i,SV24: $i] :
( ( ( meet @ SV24 @ SV120 @ SV199 )
= $false )
| ( ( ~ ( incident_c @ SV240 @ SV120 )
| ~ ( incident_c @ SV240 @ SV199 )
| ( end_point @ SV240 @ SV199 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(770,plain,
! [SV121: $i,SV200: $i,SV25: $i] :
( ( ( ~ ( incident_c @ SV25 @ SV200 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk5 @ SV200 @ SV121 @ SV25 ) @ SV121 )
| ( meet @ SV25 @ SV121 @ SV200 ) )
= $true )
| ( ( incident_c @ SV25 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(771,plain,
! [SV122: $i,SV201: $i,SV26: $i] :
( ( ( ~ ( incident_c @ SV26 @ SV201 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk5 @ SV201 @ SV122 @ SV26 ) @ SV201 )
| ( meet @ SV26 @ SV122 @ SV201 ) )
= $true )
| ( ( incident_c @ SV26 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(772,plain,
! [SV123: $i,SV202: $i,SV27: $i] :
( ( ( ~ ( incident_c @ SV27 @ SV202 ) )
= $true )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV123 )
| ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV202 )
| ( meet @ SV27 @ SV123 @ SV202 ) )
= $true )
| ( ( incident_c @ SV27 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(773,plain,
! [SV268: $i,SV241: $i,SV203: $i,SV127: $i,SV33: $i] :
( ( ( ~ ( part_of @ SV33 @ SV127 ) )
= $true )
| ( ( ~ ( part_of @ SV203 @ SV127 )
| ~ ( part_of @ SV241 @ SV127 )
| ~ ( end_point @ SV268 @ SV33 )
| ~ ( end_point @ SV268 @ SV203 )
| ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(774,plain,
! [SV242: $i,SV204: $i,SV130: $i,SV37: $i] :
( ( ( end_point @ SV37 @ SV130 )
= $false )
| ( ( ~ ( end_point @ SV204 @ SV130 )
| ~ ( end_point @ SV242 @ SV130 )
| ( SV37 = SV204 )
| ( SV37 = SV242 )
| ( SV204 = SV242 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(775,plain,
! [SV136: $i,SV43: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV43 @ SV136 ) @ SV136 )
= $false )
| ( ( SV136 = SV43 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV43 @ SV136 ) @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(776,plain,
! [SV243: $i,SV206: $i,SV137: $i,SV44: $i] :
( ( ( between_c @ SV44 @ SV137 @ SV206 @ SV243 )
= $false )
| ( ( part_of @ ( ax1_sk1 @ SV243 @ SV206 @ SV137 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(777,plain,
! [SV244: $i,SV207: $i,SV138: $i,SV45: $i] :
( ( ( between_c @ SV45 @ SV138 @ SV207 @ SV244 )
= $false )
| ( ( end_point @ SV138 @ ( ax1_sk1 @ SV244 @ SV207 @ SV138 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(778,plain,
! [SV245: $i,SV208: $i,SV139: $i,SV46: $i] :
( ( ( between_c @ SV46 @ SV139 @ SV208 @ SV245 )
= $false )
| ( ( end_point @ SV245 @ ( ax1_sk1 @ SV245 @ SV208 @ SV139 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(779,plain,
! [SV246: $i,SV209: $i,SV140: $i,SV47: $i] :
( ( ( between_c @ SV47 @ SV140 @ SV209 @ SV246 )
= $false )
| ( ( inner_point @ SV209 @ ( ax1_sk1 @ SV246 @ SV209 @ SV140 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(780,plain,
! [SV269: $i,SV247: $i,SV210: $i,SV141: $i,SV48: $i] :
( ( ( SV48 = SV141 )
= $true )
| ( ( ~ ( part_of @ SV210 @ SV247 )
| ~ ( end_point @ SV48 @ SV210 )
| ~ ( end_point @ SV141 @ SV210 )
| ~ ( inner_point @ SV269 @ SV210 )
| ( between_c @ SV247 @ SV48 @ SV269 @ SV141 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(781,plain,
! [SV248: $i,SV211: $i,SV142: $i,SV49: $i] :
( ( ( between_o @ SV49 @ SV142 @ SV211 @ SV248 )
= $false )
| ( ( ( ordered_by @ SV49 @ SV142 @ SV211 )
| ( ordered_by @ SV49 @ SV248 @ SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(782,plain,
! [SV249: $i,SV212: $i,SV143: $i,SV50: $i] :
( ( ( between_o @ SV50 @ SV143 @ SV212 @ SV249 )
= $false )
| ( ( ( ordered_by @ SV50 @ SV143 @ SV212 )
| ( ordered_by @ SV50 @ SV212 @ SV143 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(783,plain,
! [SV250: $i,SV213: $i,SV144: $i,SV51: $i] :
( ( ( between_o @ SV51 @ SV144 @ SV213 @ SV250 )
= $false )
| ( ( ( ordered_by @ SV51 @ SV213 @ SV250 )
| ( ordered_by @ SV51 @ SV250 @ SV213 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(784,plain,
! [SV251: $i,SV214: $i,SV145: $i,SV52: $i] :
( ( ( between_o @ SV52 @ SV145 @ SV214 @ SV251 )
= $false )
| ( ( ( ordered_by @ SV52 @ SV214 @ SV251 )
| ( ordered_by @ SV52 @ SV214 @ SV145 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(785,plain,
! [SV252: $i,SV215: $i,SV146: $i,SV53: $i] :
( ( ( ordered_by @ SV53 @ SV146 @ SV215 )
= $false )
| ( ( ~ ( ordered_by @ SV53 @ SV215 @ SV252 )
| ( between_o @ SV53 @ SV146 @ SV215 @ SV252 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(786,plain,
! [SV253: $i,SV216: $i,SV147: $i,SV54: $i] :
( ( ( ordered_by @ SV54 @ SV147 @ SV216 )
= $false )
| ( ( ~ ( ordered_by @ SV54 @ SV216 @ SV253 )
| ( between_o @ SV54 @ SV253 @ SV216 @ SV147 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(787,plain,
! [SV149: $i,SV217: $i,SV56: $i] :
( ( ( SV56 = SV217 )
= $true )
| ( ( ~ ( incident_o @ SV217 @ SV149 )
| ( ordered_by @ SV149 @ SV56 @ SV217 ) )
= $true )
| ( ( start_point @ SV56 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(788,plain,
! [SV58: $i,SV151: $i] :
( ( ( ordered_by @ SV151 @ SV58 @ ( ax2_sk1 @ SV151 @ SV58 ) )
= $false )
| ( ( start_point @ SV58 @ SV151 )
= $true )
| ( ( incident_o @ SV58 @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(789,plain,
! [SV153: $i,SV218: $i,SV60: $i] :
( ( ( SV60 = SV218 )
= $true )
| ( ( ~ ( incident_o @ SV218 @ SV153 )
| ( ordered_by @ SV153 @ SV218 @ SV60 ) )
= $true )
| ( ( finish_point @ SV60 @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(790,plain,
! [SV62: $i,SV155: $i] :
( ( ( ordered_by @ SV155 @ ( ax2_sk2 @ SV155 @ SV62 ) @ SV62 )
= $false )
| ( ( finish_point @ SV62 @ SV155 )
= $true )
| ( ( incident_o @ SV62 @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(791,plain,
! [SV270: $i,SV254: $i,SV221: $i,SV160: $i,SV68: $i] :
( ( ( ~ ( between_o @ SV68 @ SV160 @ SV221 @ SV254 ) )
= $true )
| ( ( ~ ( incident_o @ SV270 @ SV68 )
| ( incident_c @ SV270 @ ( ax2_sk4 @ SV68 @ SV254 @ SV221 @ SV160 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(792,plain,
! [SV271: $i,SV255: $i,SV222: $i,SV161: $i,SV69: $i] :
( ( ( ~ ( between_o @ SV69 @ SV161 @ SV222 @ SV255 ) )
= $true )
| ( ( ~ ( incident_c @ SV271 @ ( ax2_sk4 @ SV69 @ SV255 @ SV222 @ SV161 ) )
| ( incident_o @ SV271 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(793,plain,
! [SV256: $i,SV223: $i,SV162: $i,SV70: $i] :
( ( ( between_o @ SV70 @ SV162 @ SV223 @ SV256 )
= $false )
| ( ( between_c @ ( ax2_sk4 @ SV70 @ SV256 @ SV223 @ SV162 ) @ SV162 @ SV223 @ SV256 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(794,plain,
! [SV272: $i,SV257: $i,SV224: $i,SV163: $i,SV71: $i] :
( ( ( incident_o @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SV272 ) @ SV163 )
= $true )
| ( ( ( incident_c @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SV272 ) @ SV71 )
| ~ ( between_c @ SV71 @ SV272 @ SV257 @ SV224 )
| ( between_o @ SV163 @ SV272 @ SV257 @ SV224 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(795,plain,
! [SV273: $i,SV258: $i,SV225: $i,SV164: $i,SV72: $i] :
( ( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
= $true )
| ( ( ~ ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
| ~ ( between_c @ SV72 @ SV273 @ SV258 @ SV225 )
| ( between_o @ SV164 @ SV273 @ SV258 @ SV225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(796,plain,
! [SV274: $i,SV259: $i,SV226: $i,SV165: $i,SV73: $i] :
( ( ( ~ ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 ) )
= $true )
| ( ( ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
| ~ ( between_c @ SV73 @ SV274 @ SV259 @ SV226 )
| ( between_o @ SV165 @ SV274 @ SV259 @ SV226 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(797,plain,
! [SV275: $i,SV260: $i,SV227: $i,SV166: $i,SV74: $i] :
( ( ( ~ ( incident_c @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV74 ) )
= $true )
| ( ( ~ ( incident_o @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV166 )
| ~ ( between_c @ SV74 @ SV275 @ SV260 @ SV227 )
| ( between_o @ SV166 @ SV275 @ SV260 @ SV227 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(798,plain,
! [SV261: $i,SV228: $i,SV167: $i,SV76: $i] :
( ( ( open @ SV76 )
= $false )
| ( ( ( SV167 = SV228 )
| ~ ( incident_c @ SV167 @ SV76 )
| ~ ( incident_c @ SV228 @ SV76 )
| ~ ( incident_o @ SV261 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) )
| ( incident_c @ SV261 @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(799,plain,
! [SV262: $i,SV229: $i,SV168: $i,SV77: $i] :
( ( ( open @ SV77 )
= $false )
| ( ( ( SV168 = SV229 )
| ~ ( incident_c @ SV168 @ SV77 )
| ~ ( incident_c @ SV229 @ SV77 )
| ~ ( incident_c @ SV262 @ SV77 )
| ( incident_o @ SV262 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(800,plain,
! [SV78: $i,SV230: $i,SV169: $i] :
( ( ( SV169 = SV230 )
= $true )
| ( ( ~ ( incident_c @ SV169 @ SV78 )
| ~ ( incident_c @ SV230 @ SV78 )
| ( ordered_by @ ( ax2_sk7 @ SV78 @ SV230 @ SV169 ) @ SV169 @ SV230 ) )
= $true )
| ( ( open @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(801,plain,
! [SV82: $i,SV173: $i] :
( ( ( ordered_by @ SV173 @ ( ax2_sk8 @ SV82 @ SV173 ) @ ( ax2_sk9 @ SV82 @ SV173 ) )
= $false )
| ( ( SV173 = SV82 )
= $true )
| ( ( ordered_by @ SV82 @ ( ax2_sk8 @ SV82 @ SV173 ) @ ( ax2_sk9 @ SV82 @ SV173 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(802,plain,
! [SV177: $i,SV86: $i] :
( ( ( incident_o @ ( ax2_sk10 @ SV86 @ SV177 ) @ SV86 )
= $false )
| ( ( SV177
= ( underlying_curve @ SV86 ) )
= $true )
| ( ( incident_c @ ( ax2_sk10 @ SV86 @ SV177 ) @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(803,plain,
! [SV178: $i,SV87: $i] :
( ( ( SV87
= ( ax2_sk1 @ SV178 @ SV87 ) )
= $false )
| ( ( start_point @ SV87 @ SV178 )
= $true )
| ( ( incident_o @ SV87 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(804,plain,
! [SV263: $i,SV231: $i,SV179: $i,SV88: $i] :
( ( ( SV88
= ( sum @ SV179 @ SV231 ) )
= $false )
| ( ( ~ ( incident_c @ SV263 @ SV179 )
| ( incident_c @ SV263 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(805,plain,
! [SV264: $i,SV232: $i,SV181: $i,SV90: $i] :
( ( ( SV90
= ( sum @ SV181 @ SV232 ) )
= $false )
| ( ( ~ ( incident_c @ SV264 @ SV232 )
| ( incident_c @ SV264 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(806,plain,
! [SV91: $i,SV182: $i,SV233: $i] :
( ( ( ~ ( incident_o @ SV233 @ SV182 ) )
= $true )
| ( ( incident_c @ SV233 @ SV91 )
= $true )
| ( ( SV91
= ( underlying_curve @ SV182 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(807,plain,
! [SV276: $i,SV265: $i,SV234: $i,SV183: $i,SV92: $i] :
( ( ( ~ ( closed @ SV92 ) )
= $true )
| ( ( ~ ( meet @ SV183 @ SV234 @ SV265 )
| ( SV92
!= ( sum @ SV234 @ SV265 ) )
| ~ ( end_point @ SV276 @ SV234 )
| ( meet @ SV276 @ SV234 @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(808,plain,
! [SV184: $i,SV93: $i] :
( ( ( SV93
= ( ax2_sk2 @ SV184 @ SV93 ) )
= $false )
| ( ( finish_point @ SV93 @ SV184 )
= $true )
| ( ( incident_o @ SV93 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(809,plain,
! [SV266: $i,SV235: $i,SV185: $i,SV94: $i] :
( ( ( SV94
= ( sum @ SV185 @ SV235 ) )
= $false )
| ( ( ~ ( incident_c @ SV266 @ SV94 )
| ( incident_c @ SV266 @ SV185 )
| ( incident_c @ SV266 @ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(810,plain,
! [SV186: $i,SV95: $i,SV236: $i] :
( ( ( ~ ( incident_c @ SV236 @ SV95 ) )
= $true )
| ( ( incident_o @ SV236 @ SV186 )
= $true )
| ( ( SV95
= ( underlying_curve @ SV186 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(811,plain,
! [SV267: $i,SV237: $i,SV187: $i,SV96: $i] :
( ( ( between_c @ SV96 @ SV187 @ SV237 @ SV267 )
= $false )
| ( ( SV187 != SV267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(812,plain,
! [SV97: $i,SV1: $i,SV188: $i] :
( ( ( incident_c @ SV188 @ SV1 )
= $false )
| ( ( incident_c @ SV188 @ SV97 )
= $true )
| ( ( part_of @ SV1 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(813,plain,
! [SV191: $i,SV102: $i,SV6: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV6 )
= $true )
| ( ( SV191
= ( sum @ SV102 @ SV6 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV102 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV102 @ SV191 ) @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(814,plain,
! [SV192: $i,SV103: $i,SV7: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV7 )
= $true )
| ( ( SV192
= ( sum @ SV103 @ SV7 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV103 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV103 @ SV192 ) @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(815,plain,
! [SV193: $i,SV104: $i,SV8: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SV193 ) @ SV193 )
= $false )
| ( ( SV193
= ( sum @ SV104 @ SV8 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV104 @ SV193 ) @ SV104 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(816,plain,
! [SV194: $i,SV105: $i,SV9: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SV194 ) @ SV194 )
= $false )
| ( ( SV194
= ( sum @ SV105 @ SV9 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV105 @ SV194 ) @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(817,plain,
! [SV11: $i,SV238: $i,SV107: $i,SV195: $i] :
( ( ( ~ ( part_of @ SV195 @ SV107 ) )
= $true )
| ( ( ~ ( part_of @ SV238 @ SV107 )
| ~ ( incident_c @ SV11 @ SV195 )
| ~ ( incident_c @ SV11 @ SV238 )
| ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true )
| ( ( end_point @ SV11 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(818,plain,
! [SV23: $i,SV198: $i,SV119: $i,SV239: $i] :
( ( ( ~ ( incident_c @ SV239 @ SV119 ) )
= $true )
| ( ( ~ ( incident_c @ SV239 @ SV198 )
| ( end_point @ SV239 @ SV119 ) )
= $true )
| ( ( meet @ SV23 @ SV119 @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(819,plain,
! [SV24: $i,SV199: $i,SV120: $i,SV240: $i] :
( ( ( ~ ( incident_c @ SV240 @ SV120 ) )
= $true )
| ( ( ~ ( incident_c @ SV240 @ SV199 )
| ( end_point @ SV240 @ SV199 ) )
= $true )
| ( ( meet @ SV24 @ SV120 @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(820,plain,
! [SV121: $i,SV200: $i,SV25: $i] :
( ( ( incident_c @ SV25 @ SV200 )
= $false )
| ( ( ( incident_c @ ( ax0_sk5 @ SV200 @ SV121 @ SV25 ) @ SV121 )
| ( meet @ SV25 @ SV121 @ SV200 ) )
= $true )
| ( ( incident_c @ SV25 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(821,plain,
! [SV122: $i,SV201: $i,SV26: $i] :
( ( ( incident_c @ SV26 @ SV201 )
= $false )
| ( ( ( incident_c @ ( ax0_sk5 @ SV201 @ SV122 @ SV26 ) @ SV201 )
| ( meet @ SV26 @ SV122 @ SV201 ) )
= $true )
| ( ( incident_c @ SV26 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(822,plain,
! [SV123: $i,SV202: $i,SV27: $i] :
( ( ( incident_c @ SV27 @ SV202 )
= $false )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV123 )
| ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV202 )
| ( meet @ SV27 @ SV123 @ SV202 ) )
= $true )
| ( ( incident_c @ SV27 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(823,plain,
! [SV268: $i,SV241: $i,SV203: $i,SV127: $i,SV33: $i] :
( ( ( part_of @ SV33 @ SV127 )
= $false )
| ( ( ~ ( part_of @ SV203 @ SV127 )
| ~ ( part_of @ SV241 @ SV127 )
| ~ ( end_point @ SV268 @ SV33 )
| ~ ( end_point @ SV268 @ SV203 )
| ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(824,plain,
! [SV37: $i,SV242: $i,SV130: $i,SV204: $i] :
( ( ( ~ ( end_point @ SV204 @ SV130 ) )
= $true )
| ( ( ~ ( end_point @ SV242 @ SV130 )
| ( SV37 = SV204 )
| ( SV37 = SV242 )
| ( SV204 = SV242 ) )
= $true )
| ( ( end_point @ SV37 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(825,plain,
! [SV269: $i,SV141: $i,SV48: $i,SV247: $i,SV210: $i] :
( ( ( ~ ( part_of @ SV210 @ SV247 ) )
= $true )
| ( ( ~ ( end_point @ SV48 @ SV210 )
| ~ ( end_point @ SV141 @ SV210 )
| ~ ( inner_point @ SV269 @ SV210 )
| ( between_c @ SV247 @ SV48 @ SV269 @ SV141 ) )
= $true )
| ( ( SV48 = SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(826,plain,
! [SV248: $i,SV211: $i,SV142: $i,SV49: $i] :
( ( ( ordered_by @ SV49 @ SV142 @ SV211 )
= $true )
| ( ( ordered_by @ SV49 @ SV248 @ SV211 )
= $true )
| ( ( between_o @ SV49 @ SV142 @ SV211 @ SV248 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(827,plain,
! [SV249: $i,SV212: $i,SV143: $i,SV50: $i] :
( ( ( ordered_by @ SV50 @ SV143 @ SV212 )
= $true )
| ( ( ordered_by @ SV50 @ SV212 @ SV143 )
= $true )
| ( ( between_o @ SV50 @ SV143 @ SV212 @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(828,plain,
! [SV144: $i,SV250: $i,SV213: $i,SV51: $i] :
( ( ( ordered_by @ SV51 @ SV213 @ SV250 )
= $true )
| ( ( ordered_by @ SV51 @ SV250 @ SV213 )
= $true )
| ( ( between_o @ SV51 @ SV144 @ SV213 @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(829,plain,
! [SV145: $i,SV251: $i,SV214: $i,SV52: $i] :
( ( ( ordered_by @ SV52 @ SV214 @ SV251 )
= $true )
| ( ( ordered_by @ SV52 @ SV214 @ SV145 )
= $true )
| ( ( between_o @ SV52 @ SV145 @ SV214 @ SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[784]) ).
thf(830,plain,
! [SV146: $i,SV252: $i,SV215: $i,SV53: $i] :
( ( ( ~ ( ordered_by @ SV53 @ SV215 @ SV252 ) )
= $true )
| ( ( between_o @ SV53 @ SV146 @ SV215 @ SV252 )
= $true )
| ( ( ordered_by @ SV53 @ SV146 @ SV215 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(831,plain,
! [SV147: $i,SV253: $i,SV216: $i,SV54: $i] :
( ( ( ~ ( ordered_by @ SV54 @ SV216 @ SV253 ) )
= $true )
| ( ( between_o @ SV54 @ SV253 @ SV216 @ SV147 )
= $true )
| ( ( ordered_by @ SV54 @ SV147 @ SV216 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(832,plain,
! [SV56: $i,SV149: $i,SV217: $i] :
( ( ( ~ ( incident_o @ SV217 @ SV149 ) )
= $true )
| ( ( ordered_by @ SV149 @ SV56 @ SV217 )
= $true )
| ( ( SV56 = SV217 )
= $true )
| ( ( start_point @ SV56 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(833,plain,
! [SV60: $i,SV153: $i,SV218: $i] :
( ( ( ~ ( incident_o @ SV218 @ SV153 ) )
= $true )
| ( ( ordered_by @ SV153 @ SV218 @ SV60 )
= $true )
| ( ( SV60 = SV218 )
= $true )
| ( ( finish_point @ SV60 @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(834,plain,
! [SV270: $i,SV254: $i,SV221: $i,SV160: $i,SV68: $i] :
( ( ( between_o @ SV68 @ SV160 @ SV221 @ SV254 )
= $false )
| ( ( ~ ( incident_o @ SV270 @ SV68 )
| ( incident_c @ SV270 @ ( ax2_sk4 @ SV68 @ SV254 @ SV221 @ SV160 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(835,plain,
! [SV271: $i,SV255: $i,SV222: $i,SV161: $i,SV69: $i] :
( ( ( between_o @ SV69 @ SV161 @ SV222 @ SV255 )
= $false )
| ( ( ~ ( incident_c @ SV271 @ ( ax2_sk4 @ SV69 @ SV255 @ SV222 @ SV161 ) )
| ( incident_o @ SV271 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(836,plain,
! [SV272: $i,SV257: $i,SV224: $i,SV163: $i,SV71: $i] :
( ( ( incident_c @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SV272 ) @ SV71 )
= $true )
| ( ( ~ ( between_c @ SV71 @ SV272 @ SV257 @ SV224 )
| ( between_o @ SV163 @ SV272 @ SV257 @ SV224 ) )
= $true )
| ( ( incident_o @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SV272 ) @ SV163 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(837,plain,
! [SV273: $i,SV258: $i,SV225: $i,SV164: $i,SV72: $i] :
( ( ( ~ ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 ) )
= $true )
| ( ( ~ ( between_c @ SV72 @ SV273 @ SV258 @ SV225 )
| ( between_o @ SV164 @ SV273 @ SV258 @ SV225 ) )
= $true )
| ( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(838,plain,
! [SV274: $i,SV259: $i,SV226: $i,SV165: $i,SV73: $i] :
( ( ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
= $false )
| ( ( ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
| ~ ( between_c @ SV73 @ SV274 @ SV259 @ SV226 )
| ( between_o @ SV165 @ SV274 @ SV259 @ SV226 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(839,plain,
! [SV275: $i,SV260: $i,SV227: $i,SV166: $i,SV74: $i] :
( ( ( incident_c @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV74 )
= $false )
| ( ( ~ ( incident_o @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV166 )
| ~ ( between_c @ SV74 @ SV275 @ SV260 @ SV227 )
| ( between_o @ SV166 @ SV275 @ SV260 @ SV227 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(840,plain,
! [SV261: $i,SV76: $i,SV228: $i,SV167: $i] :
( ( ( SV167 = SV228 )
= $true )
| ( ( ~ ( incident_c @ SV167 @ SV76 )
| ~ ( incident_c @ SV228 @ SV76 )
| ~ ( incident_o @ SV261 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) )
| ( incident_c @ SV261 @ SV76 ) )
= $true )
| ( ( open @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(841,plain,
! [SV262: $i,SV77: $i,SV229: $i,SV168: $i] :
( ( ( SV168 = SV229 )
= $true )
| ( ( ~ ( incident_c @ SV168 @ SV77 )
| ~ ( incident_c @ SV229 @ SV77 )
| ~ ( incident_c @ SV262 @ SV77 )
| ( incident_o @ SV262 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) ) )
= $true )
| ( ( open @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(842,plain,
! [SV230: $i,SV78: $i,SV169: $i] :
( ( ( ~ ( incident_c @ SV169 @ SV78 ) )
= $true )
| ( ( ~ ( incident_c @ SV230 @ SV78 )
| ( ordered_by @ ( ax2_sk7 @ SV78 @ SV230 @ SV169 ) @ SV169 @ SV230 ) )
= $true )
| ( ( SV169 = SV230 )
= $true )
| ( ( open @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(843,plain,
! [SV231: $i,SV88: $i,SV179: $i,SV263: $i] :
( ( ( ~ ( incident_c @ SV263 @ SV179 ) )
= $true )
| ( ( incident_c @ SV263 @ SV88 )
= $true )
| ( ( SV88
= ( sum @ SV179 @ SV231 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(844,plain,
! [SV181: $i,SV90: $i,SV232: $i,SV264: $i] :
( ( ( ~ ( incident_c @ SV264 @ SV232 ) )
= $true )
| ( ( incident_c @ SV264 @ SV90 )
= $true )
| ( ( SV90
= ( sum @ SV181 @ SV232 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(845,plain,
! [SV91: $i,SV182: $i,SV233: $i] :
( ( ( incident_o @ SV233 @ SV182 )
= $false )
| ( ( incident_c @ SV233 @ SV91 )
= $true )
| ( ( SV91
= ( underlying_curve @ SV182 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(846,plain,
! [SV276: $i,SV265: $i,SV234: $i,SV183: $i,SV92: $i] :
( ( ( closed @ SV92 )
= $false )
| ( ( ~ ( meet @ SV183 @ SV234 @ SV265 )
| ( SV92
!= ( sum @ SV234 @ SV265 ) )
| ~ ( end_point @ SV276 @ SV234 )
| ( meet @ SV276 @ SV234 @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(847,plain,
! [SV235: $i,SV185: $i,SV94: $i,SV266: $i] :
( ( ( ~ ( incident_c @ SV266 @ SV94 ) )
= $true )
| ( ( ( incident_c @ SV266 @ SV185 )
| ( incident_c @ SV266 @ SV235 ) )
= $true )
| ( ( SV94
= ( sum @ SV185 @ SV235 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(848,plain,
! [SV186: $i,SV95: $i,SV236: $i] :
( ( ( incident_c @ SV236 @ SV95 )
= $false )
| ( ( incident_o @ SV236 @ SV186 )
= $true )
| ( ( SV95
= ( underlying_curve @ SV186 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(849,plain,
! [SV237: $i,SV96: $i,SV267: $i,SV187: $i] :
( ( ( SV187 = SV267 )
= $false )
| ( ( between_c @ SV96 @ SV187 @ SV237 @ SV267 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(850,plain,
! [SV11: $i,SV238: $i,SV107: $i,SV195: $i] :
( ( ( part_of @ SV195 @ SV107 )
= $false )
| ( ( ~ ( part_of @ SV238 @ SV107 )
| ~ ( incident_c @ SV11 @ SV195 )
| ~ ( incident_c @ SV11 @ SV238 )
| ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true )
| ( ( end_point @ SV11 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(851,plain,
! [SV23: $i,SV198: $i,SV119: $i,SV239: $i] :
( ( ( incident_c @ SV239 @ SV119 )
= $false )
| ( ( ~ ( incident_c @ SV239 @ SV198 )
| ( end_point @ SV239 @ SV119 ) )
= $true )
| ( ( meet @ SV23 @ SV119 @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(852,plain,
! [SV24: $i,SV199: $i,SV120: $i,SV240: $i] :
( ( ( incident_c @ SV240 @ SV120 )
= $false )
| ( ( ~ ( incident_c @ SV240 @ SV199 )
| ( end_point @ SV240 @ SV199 ) )
= $true )
| ( ( meet @ SV24 @ SV120 @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(853,plain,
! [SV25: $i,SV121: $i,SV200: $i] :
( ( ( incident_c @ ( ax0_sk5 @ SV200 @ SV121 @ SV25 ) @ SV121 )
= $true )
| ( ( meet @ SV25 @ SV121 @ SV200 )
= $true )
| ( ( incident_c @ SV25 @ SV200 )
= $false )
| ( ( incident_c @ SV25 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(854,plain,
! [SV26: $i,SV122: $i,SV201: $i] :
( ( ( incident_c @ ( ax0_sk5 @ SV201 @ SV122 @ SV26 ) @ SV201 )
= $true )
| ( ( meet @ SV26 @ SV122 @ SV201 )
= $true )
| ( ( incident_c @ SV26 @ SV201 )
= $false )
| ( ( incident_c @ SV26 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(855,plain,
! [SV27: $i,SV123: $i,SV202: $i] :
( ( ( ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV123 ) )
= $true )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV202 )
| ( meet @ SV27 @ SV123 @ SV202 ) )
= $true )
| ( ( incident_c @ SV27 @ SV202 )
= $false )
| ( ( incident_c @ SV27 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(856,plain,
! [SV33: $i,SV268: $i,SV241: $i,SV127: $i,SV203: $i] :
( ( ( ~ ( part_of @ SV203 @ SV127 ) )
= $true )
| ( ( ~ ( part_of @ SV241 @ SV127 )
| ~ ( end_point @ SV268 @ SV33 )
| ~ ( end_point @ SV268 @ SV203 )
| ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(857,plain,
! [SV37: $i,SV242: $i,SV130: $i,SV204: $i] :
( ( ( end_point @ SV204 @ SV130 )
= $false )
| ( ( ~ ( end_point @ SV242 @ SV130 )
| ( SV37 = SV204 )
| ( SV37 = SV242 )
| ( SV204 = SV242 ) )
= $true )
| ( ( end_point @ SV37 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(858,plain,
! [SV269: $i,SV141: $i,SV48: $i,SV247: $i,SV210: $i] :
( ( ( part_of @ SV210 @ SV247 )
= $false )
| ( ( ~ ( end_point @ SV48 @ SV210 )
| ~ ( end_point @ SV141 @ SV210 )
| ~ ( inner_point @ SV269 @ SV210 )
| ( between_c @ SV247 @ SV48 @ SV269 @ SV141 ) )
= $true )
| ( ( SV48 = SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(859,plain,
! [SV146: $i,SV252: $i,SV215: $i,SV53: $i] :
( ( ( ordered_by @ SV53 @ SV215 @ SV252 )
= $false )
| ( ( between_o @ SV53 @ SV146 @ SV215 @ SV252 )
= $true )
| ( ( ordered_by @ SV53 @ SV146 @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(860,plain,
! [SV147: $i,SV253: $i,SV216: $i,SV54: $i] :
( ( ( ordered_by @ SV54 @ SV216 @ SV253 )
= $false )
| ( ( between_o @ SV54 @ SV253 @ SV216 @ SV147 )
= $true )
| ( ( ordered_by @ SV54 @ SV147 @ SV216 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(861,plain,
! [SV56: $i,SV149: $i,SV217: $i] :
( ( ( incident_o @ SV217 @ SV149 )
= $false )
| ( ( ordered_by @ SV149 @ SV56 @ SV217 )
= $true )
| ( ( SV56 = SV217 )
= $true )
| ( ( start_point @ SV56 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(862,plain,
! [SV60: $i,SV153: $i,SV218: $i] :
( ( ( incident_o @ SV218 @ SV153 )
= $false )
| ( ( ordered_by @ SV153 @ SV218 @ SV60 )
= $true )
| ( ( SV60 = SV218 )
= $true )
| ( ( finish_point @ SV60 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(863,plain,
! [SV160: $i,SV221: $i,SV254: $i,SV68: $i,SV270: $i] :
( ( ( ~ ( incident_o @ SV270 @ SV68 ) )
= $true )
| ( ( incident_c @ SV270 @ ( ax2_sk4 @ SV68 @ SV254 @ SV221 @ SV160 ) )
= $true )
| ( ( between_o @ SV68 @ SV160 @ SV221 @ SV254 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(864,plain,
! [SV161: $i,SV222: $i,SV255: $i,SV69: $i,SV271: $i] :
( ( ( ~ ( incident_c @ SV271 @ ( ax2_sk4 @ SV69 @ SV255 @ SV222 @ SV161 ) ) )
= $true )
| ( ( incident_o @ SV271 @ SV69 )
= $true )
| ( ( between_o @ SV69 @ SV161 @ SV222 @ SV255 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[835]) ).
thf(865,plain,
! [SV163: $i,SV224: $i,SV257: $i,SV272: $i,SV71: $i] :
( ( ( ~ ( between_c @ SV71 @ SV272 @ SV257 @ SV224 ) )
= $true )
| ( ( between_o @ SV163 @ SV272 @ SV257 @ SV224 )
= $true )
| ( ( incident_c @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SV272 ) @ SV71 )
= $true )
| ( ( incident_o @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SV272 ) @ SV163 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[836]) ).
thf(866,plain,
! [SV273: $i,SV258: $i,SV225: $i,SV164: $i,SV72: $i] :
( ( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
= $false )
| ( ( ~ ( between_c @ SV72 @ SV273 @ SV258 @ SV225 )
| ( between_o @ SV164 @ SV273 @ SV258 @ SV225 ) )
= $true )
| ( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[837]) ).
thf(867,plain,
! [SV274: $i,SV259: $i,SV226: $i,SV165: $i,SV73: $i] :
( ( ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
= $true )
| ( ( ~ ( between_c @ SV73 @ SV274 @ SV259 @ SV226 )
| ( between_o @ SV165 @ SV274 @ SV259 @ SV226 ) )
= $true )
| ( ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(868,plain,
! [SV275: $i,SV260: $i,SV227: $i,SV166: $i,SV74: $i] :
( ( ( ~ ( incident_o @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV166 ) )
= $true )
| ( ( ~ ( between_c @ SV74 @ SV275 @ SV260 @ SV227 )
| ( between_o @ SV166 @ SV275 @ SV260 @ SV227 ) )
= $true )
| ( ( incident_c @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[839]) ).
thf(869,plain,
! [SV261: $i,SV228: $i,SV76: $i,SV167: $i] :
( ( ( ~ ( incident_c @ SV167 @ SV76 ) )
= $true )
| ( ( ~ ( incident_c @ SV228 @ SV76 )
| ~ ( incident_o @ SV261 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) )
| ( incident_c @ SV261 @ SV76 ) )
= $true )
| ( ( SV167 = SV228 )
= $true )
| ( ( open @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(870,plain,
! [SV262: $i,SV229: $i,SV77: $i,SV168: $i] :
( ( ( ~ ( incident_c @ SV168 @ SV77 ) )
= $true )
| ( ( ~ ( incident_c @ SV229 @ SV77 )
| ~ ( incident_c @ SV262 @ SV77 )
| ( incident_o @ SV262 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) ) )
= $true )
| ( ( SV168 = SV229 )
= $true )
| ( ( open @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(871,plain,
! [SV230: $i,SV78: $i,SV169: $i] :
( ( ( incident_c @ SV169 @ SV78 )
= $false )
| ( ( ~ ( incident_c @ SV230 @ SV78 )
| ( ordered_by @ ( ax2_sk7 @ SV78 @ SV230 @ SV169 ) @ SV169 @ SV230 ) )
= $true )
| ( ( SV169 = SV230 )
= $true )
| ( ( open @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(872,plain,
! [SV231: $i,SV88: $i,SV179: $i,SV263: $i] :
( ( ( incident_c @ SV263 @ SV179 )
= $false )
| ( ( incident_c @ SV263 @ SV88 )
= $true )
| ( ( SV88
= ( sum @ SV179 @ SV231 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(873,plain,
! [SV181: $i,SV90: $i,SV232: $i,SV264: $i] :
( ( ( incident_c @ SV264 @ SV232 )
= $false )
| ( ( incident_c @ SV264 @ SV90 )
= $true )
| ( ( SV90
= ( sum @ SV181 @ SV232 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(874,plain,
! [SV276: $i,SV92: $i,SV265: $i,SV234: $i,SV183: $i] :
( ( ( ~ ( meet @ SV183 @ SV234 @ SV265 ) )
= $true )
| ( ( ( SV92
!= ( sum @ SV234 @ SV265 ) )
| ~ ( end_point @ SV276 @ SV234 )
| ( meet @ SV276 @ SV234 @ SV265 ) )
= $true )
| ( ( closed @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(875,plain,
! [SV235: $i,SV185: $i,SV94: $i,SV266: $i] :
( ( ( incident_c @ SV266 @ SV94 )
= $false )
| ( ( ( incident_c @ SV266 @ SV185 )
| ( incident_c @ SV266 @ SV235 ) )
= $true )
| ( ( SV94
= ( sum @ SV185 @ SV235 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(876,plain,
! [SV195: $i,SV11: $i,SV107: $i,SV238: $i] :
( ( ( ~ ( part_of @ SV238 @ SV107 ) )
= $true )
| ( ( ~ ( incident_c @ SV11 @ SV195 )
| ~ ( incident_c @ SV11 @ SV238 )
| ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true )
| ( ( part_of @ SV195 @ SV107 )
= $false )
| ( ( end_point @ SV11 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(877,plain,
! [SV23: $i,SV119: $i,SV198: $i,SV239: $i] :
( ( ( ~ ( incident_c @ SV239 @ SV198 ) )
= $true )
| ( ( end_point @ SV239 @ SV119 )
= $true )
| ( ( incident_c @ SV239 @ SV119 )
= $false )
| ( ( meet @ SV23 @ SV119 @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(878,plain,
! [SV24: $i,SV120: $i,SV199: $i,SV240: $i] :
( ( ( ~ ( incident_c @ SV240 @ SV199 ) )
= $true )
| ( ( end_point @ SV240 @ SV199 )
= $true )
| ( ( incident_c @ SV240 @ SV120 )
= $false )
| ( ( meet @ SV24 @ SV120 @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(879,plain,
! [SV27: $i,SV123: $i,SV202: $i] :
( ( ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV123 )
= $false )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV202 )
| ( meet @ SV27 @ SV123 @ SV202 ) )
= $true )
| ( ( incident_c @ SV27 @ SV202 )
= $false )
| ( ( incident_c @ SV27 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(880,plain,
! [SV33: $i,SV268: $i,SV241: $i,SV127: $i,SV203: $i] :
( ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( ~ ( part_of @ SV241 @ SV127 )
| ~ ( end_point @ SV268 @ SV33 )
| ~ ( end_point @ SV268 @ SV203 )
| ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(881,plain,
! [SV204: $i,SV37: $i,SV130: $i,SV242: $i] :
( ( ( ~ ( end_point @ SV242 @ SV130 ) )
= $true )
| ( ( ( SV37 = SV204 )
| ( SV37 = SV242 )
| ( SV204 = SV242 ) )
= $true )
| ( ( end_point @ SV204 @ SV130 )
= $false )
| ( ( end_point @ SV37 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(882,plain,
! [SV247: $i,SV269: $i,SV141: $i,SV210: $i,SV48: $i] :
( ( ( ~ ( end_point @ SV48 @ SV210 ) )
= $true )
| ( ( ~ ( end_point @ SV141 @ SV210 )
| ~ ( inner_point @ SV269 @ SV210 )
| ( between_c @ SV247 @ SV48 @ SV269 @ SV141 ) )
= $true )
| ( ( part_of @ SV210 @ SV247 )
= $false )
| ( ( SV48 = SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(883,plain,
! [SV160: $i,SV221: $i,SV254: $i,SV68: $i,SV270: $i] :
( ( ( incident_o @ SV270 @ SV68 )
= $false )
| ( ( incident_c @ SV270 @ ( ax2_sk4 @ SV68 @ SV254 @ SV221 @ SV160 ) )
= $true )
| ( ( between_o @ SV68 @ SV160 @ SV221 @ SV254 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(884,plain,
! [SV161: $i,SV222: $i,SV255: $i,SV69: $i,SV271: $i] :
( ( ( incident_c @ SV271 @ ( ax2_sk4 @ SV69 @ SV255 @ SV222 @ SV161 ) )
= $false )
| ( ( incident_o @ SV271 @ SV69 )
= $true )
| ( ( between_o @ SV69 @ SV161 @ SV222 @ SV255 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(885,plain,
! [SV163: $i,SV224: $i,SV257: $i,SV272: $i,SV71: $i] :
( ( ( between_c @ SV71 @ SV272 @ SV257 @ SV224 )
= $false )
| ( ( between_o @ SV163 @ SV272 @ SV257 @ SV224 )
= $true )
| ( ( incident_c @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SV272 ) @ SV71 )
= $true )
| ( ( incident_o @ ( ax2_sk5 @ SV71 @ SV163 @ SV224 @ SV257 @ SV272 ) @ SV163 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(886,plain,
! [SV164: $i,SV225: $i,SV258: $i,SV273: $i,SV72: $i] :
( ( ( ~ ( between_c @ SV72 @ SV273 @ SV258 @ SV225 ) )
= $true )
| ( ( between_o @ SV164 @ SV273 @ SV258 @ SV225 )
= $true )
| ( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
= $false )
| ( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(887,plain,
! [SV165: $i,SV226: $i,SV259: $i,SV274: $i,SV73: $i] :
( ( ( ~ ( between_c @ SV73 @ SV274 @ SV259 @ SV226 ) )
= $true )
| ( ( between_o @ SV165 @ SV274 @ SV259 @ SV226 )
= $true )
| ( ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
= $true )
| ( ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(888,plain,
! [SV275: $i,SV260: $i,SV227: $i,SV166: $i,SV74: $i] :
( ( ( incident_o @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV166 )
= $false )
| ( ( ~ ( between_c @ SV74 @ SV275 @ SV260 @ SV227 )
| ( between_o @ SV166 @ SV275 @ SV260 @ SV227 ) )
= $true )
| ( ( incident_c @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(889,plain,
! [SV261: $i,SV228: $i,SV76: $i,SV167: $i] :
( ( ( incident_c @ SV167 @ SV76 )
= $false )
| ( ( ~ ( incident_c @ SV228 @ SV76 )
| ~ ( incident_o @ SV261 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) )
| ( incident_c @ SV261 @ SV76 ) )
= $true )
| ( ( SV167 = SV228 )
= $true )
| ( ( open @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(890,plain,
! [SV262: $i,SV229: $i,SV77: $i,SV168: $i] :
( ( ( incident_c @ SV168 @ SV77 )
= $false )
| ( ( ~ ( incident_c @ SV229 @ SV77 )
| ~ ( incident_c @ SV262 @ SV77 )
| ( incident_o @ SV262 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) ) )
= $true )
| ( ( SV168 = SV229 )
= $true )
| ( ( open @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(891,plain,
! [SV169: $i,SV78: $i,SV230: $i] :
( ( ( ~ ( incident_c @ SV230 @ SV78 ) )
= $true )
| ( ( ordered_by @ ( ax2_sk7 @ SV78 @ SV230 @ SV169 ) @ SV169 @ SV230 )
= $true )
| ( ( incident_c @ SV169 @ SV78 )
= $false )
| ( ( SV169 = SV230 )
= $true )
| ( ( open @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(892,plain,
! [SV276: $i,SV92: $i,SV265: $i,SV234: $i,SV183: $i] :
( ( ( meet @ SV183 @ SV234 @ SV265 )
= $false )
| ( ( ( SV92
!= ( sum @ SV234 @ SV265 ) )
| ~ ( end_point @ SV276 @ SV234 )
| ( meet @ SV276 @ SV234 @ SV265 ) )
= $true )
| ( ( closed @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(893,plain,
! [SV94: $i,SV235: $i,SV185: $i,SV266: $i] :
( ( ( incident_c @ SV266 @ SV185 )
= $true )
| ( ( incident_c @ SV266 @ SV235 )
= $true )
| ( ( incident_c @ SV266 @ SV94 )
= $false )
| ( ( SV94
= ( sum @ SV185 @ SV235 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[875]) ).
thf(894,plain,
! [SV195: $i,SV11: $i,SV107: $i,SV238: $i] :
( ( ( part_of @ SV238 @ SV107 )
= $false )
| ( ( ~ ( incident_c @ SV11 @ SV195 )
| ~ ( incident_c @ SV11 @ SV238 )
| ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true )
| ( ( part_of @ SV195 @ SV107 )
= $false )
| ( ( end_point @ SV11 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(895,plain,
! [SV23: $i,SV119: $i,SV198: $i,SV239: $i] :
( ( ( incident_c @ SV239 @ SV198 )
= $false )
| ( ( end_point @ SV239 @ SV119 )
= $true )
| ( ( incident_c @ SV239 @ SV119 )
= $false )
| ( ( meet @ SV23 @ SV119 @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(896,plain,
! [SV24: $i,SV120: $i,SV199: $i,SV240: $i] :
( ( ( incident_c @ SV240 @ SV199 )
= $false )
| ( ( end_point @ SV240 @ SV199 )
= $true )
| ( ( incident_c @ SV240 @ SV120 )
= $false )
| ( ( meet @ SV24 @ SV120 @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(897,plain,
! [SV27: $i,SV123: $i,SV202: $i] :
( ( ( ~ ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV202 ) )
= $true )
| ( ( meet @ SV27 @ SV123 @ SV202 )
= $true )
| ( ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV123 )
= $false )
| ( ( incident_c @ SV27 @ SV202 )
= $false )
| ( ( incident_c @ SV27 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(898,plain,
! [SV203: $i,SV33: $i,SV268: $i,SV127: $i,SV241: $i] :
( ( ( ~ ( part_of @ SV241 @ SV127 ) )
= $true )
| ( ( ~ ( end_point @ SV268 @ SV33 )
| ~ ( end_point @ SV268 @ SV203 )
| ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(899,plain,
! [SV204: $i,SV37: $i,SV130: $i,SV242: $i] :
( ( ( end_point @ SV242 @ SV130 )
= $false )
| ( ( ( SV37 = SV204 )
| ( SV37 = SV242 )
| ( SV204 = SV242 ) )
= $true )
| ( ( end_point @ SV204 @ SV130 )
= $false )
| ( ( end_point @ SV37 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(900,plain,
! [SV247: $i,SV269: $i,SV141: $i,SV210: $i,SV48: $i] :
( ( ( end_point @ SV48 @ SV210 )
= $false )
| ( ( ~ ( end_point @ SV141 @ SV210 )
| ~ ( inner_point @ SV269 @ SV210 )
| ( between_c @ SV247 @ SV48 @ SV269 @ SV141 ) )
= $true )
| ( ( part_of @ SV210 @ SV247 )
= $false )
| ( ( SV48 = SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(901,plain,
! [SV164: $i,SV225: $i,SV258: $i,SV273: $i,SV72: $i] :
( ( ( between_c @ SV72 @ SV273 @ SV258 @ SV225 )
= $false )
| ( ( between_o @ SV164 @ SV273 @ SV258 @ SV225 )
= $true )
| ( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
= $false )
| ( ( incident_o @ ( ax2_sk5 @ SV72 @ SV164 @ SV225 @ SV258 @ SV273 ) @ SV164 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(902,plain,
! [SV165: $i,SV226: $i,SV259: $i,SV274: $i,SV73: $i] :
( ( ( between_c @ SV73 @ SV274 @ SV259 @ SV226 )
= $false )
| ( ( between_o @ SV165 @ SV274 @ SV259 @ SV226 )
= $true )
| ( ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
= $true )
| ( ( incident_c @ ( ax2_sk5 @ SV73 @ SV165 @ SV226 @ SV259 @ SV274 ) @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(903,plain,
! [SV166: $i,SV227: $i,SV260: $i,SV275: $i,SV74: $i] :
( ( ( ~ ( between_c @ SV74 @ SV275 @ SV260 @ SV227 ) )
= $true )
| ( ( between_o @ SV166 @ SV275 @ SV260 @ SV227 )
= $true )
| ( ( incident_o @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV166 )
= $false )
| ( ( incident_c @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(904,plain,
! [SV167: $i,SV261: $i,SV76: $i,SV228: $i] :
( ( ( ~ ( incident_c @ SV228 @ SV76 ) )
= $true )
| ( ( ~ ( incident_o @ SV261 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) )
| ( incident_c @ SV261 @ SV76 ) )
= $true )
| ( ( incident_c @ SV167 @ SV76 )
= $false )
| ( ( SV167 = SV228 )
= $true )
| ( ( open @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(905,plain,
! [SV168: $i,SV262: $i,SV77: $i,SV229: $i] :
( ( ( ~ ( incident_c @ SV229 @ SV77 ) )
= $true )
| ( ( ~ ( incident_c @ SV262 @ SV77 )
| ( incident_o @ SV262 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) ) )
= $true )
| ( ( incident_c @ SV168 @ SV77 )
= $false )
| ( ( SV168 = SV229 )
= $true )
| ( ( open @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[890]) ).
thf(906,plain,
! [SV169: $i,SV78: $i,SV230: $i] :
( ( ( incident_c @ SV230 @ SV78 )
= $false )
| ( ( ordered_by @ ( ax2_sk7 @ SV78 @ SV230 @ SV169 ) @ SV169 @ SV230 )
= $true )
| ( ( incident_c @ SV169 @ SV78 )
= $false )
| ( ( SV169 = SV230 )
= $true )
| ( ( open @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(907,plain,
! [SV183: $i,SV276: $i,SV265: $i,SV234: $i,SV92: $i] :
( ( ( SV92
!= ( sum @ SV234 @ SV265 ) )
= $true )
| ( ( ~ ( end_point @ SV276 @ SV234 )
| ( meet @ SV276 @ SV234 @ SV265 ) )
= $true )
| ( ( meet @ SV183 @ SV234 @ SV265 )
= $false )
| ( ( closed @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(908,plain,
! [SV107: $i,SV238: $i,SV195: $i,SV11: $i] :
( ( ( ~ ( incident_c @ SV11 @ SV195 ) )
= $true )
| ( ( ~ ( incident_c @ SV11 @ SV238 )
| ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true )
| ( ( part_of @ SV238 @ SV107 )
= $false )
| ( ( part_of @ SV195 @ SV107 )
= $false )
| ( ( end_point @ SV11 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(909,plain,
! [SV27: $i,SV123: $i,SV202: $i] :
( ( ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV202 )
= $false )
| ( ( meet @ SV27 @ SV123 @ SV202 )
= $true )
| ( ( end_point @ ( ax0_sk5 @ SV202 @ SV123 @ SV27 ) @ SV123 )
= $false )
| ( ( incident_c @ SV27 @ SV202 )
= $false )
| ( ( incident_c @ SV27 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(910,plain,
! [SV203: $i,SV33: $i,SV268: $i,SV127: $i,SV241: $i] :
( ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( ~ ( end_point @ SV268 @ SV33 )
| ~ ( end_point @ SV268 @ SV203 )
| ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(911,plain,
! [SV130: $i,SV242: $i,SV204: $i,SV37: $i] :
( ( ( SV37 = SV204 )
= $true )
| ( ( ( SV37 = SV242 )
| ( SV204 = SV242 ) )
= $true )
| ( ( end_point @ SV242 @ SV130 )
= $false )
| ( ( end_point @ SV204 @ SV130 )
= $false )
| ( ( end_point @ SV37 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(912,plain,
! [SV48: $i,SV247: $i,SV269: $i,SV210: $i,SV141: $i] :
( ( ( ~ ( end_point @ SV141 @ SV210 ) )
= $true )
| ( ( ~ ( inner_point @ SV269 @ SV210 )
| ( between_c @ SV247 @ SV48 @ SV269 @ SV141 ) )
= $true )
| ( ( end_point @ SV48 @ SV210 )
= $false )
| ( ( part_of @ SV210 @ SV247 )
= $false )
| ( ( SV48 = SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(913,plain,
! [SV166: $i,SV227: $i,SV260: $i,SV275: $i,SV74: $i] :
( ( ( between_c @ SV74 @ SV275 @ SV260 @ SV227 )
= $false )
| ( ( between_o @ SV166 @ SV275 @ SV260 @ SV227 )
= $true )
| ( ( incident_o @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV166 )
= $false )
| ( ( incident_c @ ( ax2_sk5 @ SV74 @ SV166 @ SV227 @ SV260 @ SV275 ) @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(914,plain,
! [SV167: $i,SV261: $i,SV76: $i,SV228: $i] :
( ( ( incident_c @ SV228 @ SV76 )
= $false )
| ( ( ~ ( incident_o @ SV261 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) )
| ( incident_c @ SV261 @ SV76 ) )
= $true )
| ( ( incident_c @ SV167 @ SV76 )
= $false )
| ( ( SV167 = SV228 )
= $true )
| ( ( open @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(915,plain,
! [SV168: $i,SV262: $i,SV77: $i,SV229: $i] :
( ( ( incident_c @ SV229 @ SV77 )
= $false )
| ( ( ~ ( incident_c @ SV262 @ SV77 )
| ( incident_o @ SV262 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) ) )
= $true )
| ( ( incident_c @ SV168 @ SV77 )
= $false )
| ( ( SV168 = SV229 )
= $true )
| ( ( open @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(916,plain,
! [SV183: $i,SV276: $i,SV265: $i,SV234: $i,SV92: $i] :
( ( ( SV92
= ( sum @ SV234 @ SV265 ) )
= $false )
| ( ( ~ ( end_point @ SV276 @ SV234 )
| ( meet @ SV276 @ SV234 @ SV265 ) )
= $true )
| ( ( meet @ SV183 @ SV234 @ SV265 )
= $false )
| ( ( closed @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(917,plain,
! [SV107: $i,SV238: $i,SV195: $i,SV11: $i] :
( ( ( incident_c @ SV11 @ SV195 )
= $false )
| ( ( ~ ( incident_c @ SV11 @ SV238 )
| ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true )
| ( ( part_of @ SV238 @ SV107 )
= $false )
| ( ( part_of @ SV195 @ SV107 )
= $false )
| ( ( end_point @ SV11 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(918,plain,
! [SV127: $i,SV241: $i,SV203: $i,SV33: $i,SV268: $i] :
( ( ( ~ ( end_point @ SV268 @ SV33 ) )
= $true )
| ( ( ~ ( end_point @ SV268 @ SV203 )
| ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(919,plain,
! [SV130: $i,SV204: $i,SV242: $i,SV37: $i] :
( ( ( SV37 = SV242 )
= $true )
| ( ( SV204 = SV242 )
= $true )
| ( ( SV37 = SV204 )
= $true )
| ( ( end_point @ SV242 @ SV130 )
= $false )
| ( ( end_point @ SV204 @ SV130 )
= $false )
| ( ( end_point @ SV37 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(920,plain,
! [SV48: $i,SV247: $i,SV269: $i,SV210: $i,SV141: $i] :
( ( ( end_point @ SV141 @ SV210 )
= $false )
| ( ( ~ ( inner_point @ SV269 @ SV210 )
| ( between_c @ SV247 @ SV48 @ SV269 @ SV141 ) )
= $true )
| ( ( end_point @ SV48 @ SV210 )
= $false )
| ( ( part_of @ SV210 @ SV247 )
= $false )
| ( ( SV48 = SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(921,plain,
! [SV167: $i,SV228: $i,SV76: $i,SV261: $i] :
( ( ( ~ ( incident_o @ SV261 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) ) )
= $true )
| ( ( incident_c @ SV261 @ SV76 )
= $true )
| ( ( incident_c @ SV228 @ SV76 )
= $false )
| ( ( incident_c @ SV167 @ SV76 )
= $false )
| ( ( SV167 = SV228 )
= $true )
| ( ( open @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(922,plain,
! [SV168: $i,SV229: $i,SV77: $i,SV262: $i] :
( ( ( ~ ( incident_c @ SV262 @ SV77 ) )
= $true )
| ( ( incident_o @ SV262 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) )
= $true )
| ( ( incident_c @ SV229 @ SV77 )
= $false )
| ( ( incident_c @ SV168 @ SV77 )
= $false )
| ( ( SV168 = SV229 )
= $true )
| ( ( open @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[915]) ).
thf(923,plain,
! [SV183: $i,SV92: $i,SV265: $i,SV234: $i,SV276: $i] :
( ( ( ~ ( end_point @ SV276 @ SV234 ) )
= $true )
| ( ( meet @ SV276 @ SV234 @ SV265 )
= $true )
| ( ( SV92
= ( sum @ SV234 @ SV265 ) )
= $false )
| ( ( meet @ SV183 @ SV234 @ SV265 )
= $false )
| ( ( closed @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(924,plain,
! [SV107: $i,SV195: $i,SV238: $i,SV11: $i] :
( ( ( ~ ( incident_c @ SV11 @ SV238 ) )
= $true )
| ( ( ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true )
| ( ( incident_c @ SV11 @ SV195 )
= $false )
| ( ( part_of @ SV238 @ SV107 )
= $false )
| ( ( part_of @ SV195 @ SV107 )
= $false )
| ( ( end_point @ SV11 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[917]) ).
thf(925,plain,
! [SV127: $i,SV241: $i,SV203: $i,SV33: $i,SV268: $i] :
( ( ( end_point @ SV268 @ SV33 )
= $false )
| ( ( ~ ( end_point @ SV268 @ SV203 )
| ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(926,plain,
! [SV141: $i,SV48: $i,SV247: $i,SV210: $i,SV269: $i] :
( ( ( ~ ( inner_point @ SV269 @ SV210 ) )
= $true )
| ( ( between_c @ SV247 @ SV48 @ SV269 @ SV141 )
= $true )
| ( ( end_point @ SV141 @ SV210 )
= $false )
| ( ( end_point @ SV48 @ SV210 )
= $false )
| ( ( part_of @ SV210 @ SV247 )
= $false )
| ( ( SV48 = SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[920]) ).
thf(927,plain,
! [SV167: $i,SV228: $i,SV76: $i,SV261: $i] :
( ( ( incident_o @ SV261 @ ( ax2_sk7 @ SV76 @ SV228 @ SV167 ) )
= $false )
| ( ( incident_c @ SV261 @ SV76 )
= $true )
| ( ( incident_c @ SV228 @ SV76 )
= $false )
| ( ( incident_c @ SV167 @ SV76 )
= $false )
| ( ( SV167 = SV228 )
= $true )
| ( ( open @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(928,plain,
! [SV168: $i,SV229: $i,SV77: $i,SV262: $i] :
( ( ( incident_c @ SV262 @ SV77 )
= $false )
| ( ( incident_o @ SV262 @ ( ax2_sk7 @ SV77 @ SV229 @ SV168 ) )
= $true )
| ( ( incident_c @ SV229 @ SV77 )
= $false )
| ( ( incident_c @ SV168 @ SV77 )
= $false )
| ( ( SV168 = SV229 )
= $true )
| ( ( open @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(929,plain,
! [SV183: $i,SV92: $i,SV265: $i,SV234: $i,SV276: $i] :
( ( ( end_point @ SV276 @ SV234 )
= $false )
| ( ( meet @ SV276 @ SV234 @ SV265 )
= $true )
| ( ( SV92
= ( sum @ SV234 @ SV265 ) )
= $false )
| ( ( meet @ SV183 @ SV234 @ SV265 )
= $false )
| ( ( closed @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(930,plain,
! [SV107: $i,SV195: $i,SV238: $i,SV11: $i] :
( ( ( incident_c @ SV11 @ SV238 )
= $false )
| ( ( ( part_of @ SV195 @ SV238 )
| ( part_of @ SV238 @ SV195 ) )
= $true )
| ( ( incident_c @ SV11 @ SV195 )
= $false )
| ( ( part_of @ SV238 @ SV107 )
= $false )
| ( ( part_of @ SV195 @ SV107 )
= $false )
| ( ( end_point @ SV11 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(931,plain,
! [SV127: $i,SV33: $i,SV241: $i,SV203: $i,SV268: $i] :
( ( ( ~ ( end_point @ SV268 @ SV203 ) )
= $true )
| ( ( ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( end_point @ SV268 @ SV33 )
= $false )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(932,plain,
! [SV141: $i,SV48: $i,SV247: $i,SV210: $i,SV269: $i] :
( ( ( inner_point @ SV269 @ SV210 )
= $false )
| ( ( between_c @ SV247 @ SV48 @ SV269 @ SV141 )
= $true )
| ( ( end_point @ SV141 @ SV210 )
= $false )
| ( ( end_point @ SV48 @ SV210 )
= $false )
| ( ( part_of @ SV210 @ SV247 )
= $false )
| ( ( SV48 = SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(933,plain,
! [SV107: $i,SV11: $i,SV238: $i,SV195: $i] :
( ( ( part_of @ SV195 @ SV238 )
= $true )
| ( ( part_of @ SV238 @ SV195 )
= $true )
| ( ( incident_c @ SV11 @ SV238 )
= $false )
| ( ( incident_c @ SV11 @ SV195 )
= $false )
| ( ( part_of @ SV238 @ SV107 )
= $false )
| ( ( part_of @ SV195 @ SV107 )
= $false )
| ( ( end_point @ SV11 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[930]) ).
thf(934,plain,
! [SV127: $i,SV33: $i,SV241: $i,SV203: $i,SV268: $i] :
( ( ( end_point @ SV268 @ SV203 )
= $false )
| ( ( ~ ( end_point @ SV268 @ SV241 )
| ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( end_point @ SV268 @ SV33 )
= $false )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(935,plain,
! [SV127: $i,SV33: $i,SV203: $i,SV241: $i,SV268: $i] :
( ( ( ~ ( end_point @ SV268 @ SV241 ) )
= $true )
| ( ( ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( end_point @ SV268 @ SV203 )
= $false )
| ( ( end_point @ SV268 @ SV33 )
= $false )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(936,plain,
! [SV127: $i,SV33: $i,SV203: $i,SV241: $i,SV268: $i] :
( ( ( end_point @ SV268 @ SV241 )
= $false )
| ( ( ( part_of @ SV203 @ SV241 )
| ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( end_point @ SV268 @ SV203 )
= $false )
| ( ( end_point @ SV268 @ SV33 )
= $false )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(937,plain,
! [SV127: $i,SV268: $i,SV33: $i,SV241: $i,SV203: $i] :
( ( ( part_of @ SV203 @ SV241 )
= $true )
| ( ( ( part_of @ SV241 @ SV203 )
| ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( end_point @ SV268 @ SV241 )
= $false )
| ( ( end_point @ SV268 @ SV203 )
= $false )
| ( ( end_point @ SV268 @ SV33 )
= $false )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(938,plain,
! [SV127: $i,SV268: $i,SV33: $i,SV203: $i,SV241: $i] :
( ( ( part_of @ SV241 @ SV203 )
= $true )
| ( ( ( part_of @ SV33 @ SV203 )
| ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( part_of @ SV203 @ SV241 )
= $true )
| ( ( end_point @ SV268 @ SV241 )
= $false )
| ( ( end_point @ SV268 @ SV203 )
= $false )
| ( ( end_point @ SV268 @ SV33 )
= $false )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(939,plain,
! [SV127: $i,SV268: $i,SV241: $i,SV203: $i,SV33: $i] :
( ( ( part_of @ SV33 @ SV203 )
= $true )
| ( ( ( part_of @ SV203 @ SV33 )
| ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( part_of @ SV241 @ SV203 )
= $true )
| ( ( part_of @ SV203 @ SV241 )
= $true )
| ( ( end_point @ SV268 @ SV241 )
= $false )
| ( ( end_point @ SV268 @ SV203 )
= $false )
| ( ( end_point @ SV268 @ SV33 )
= $false )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(940,plain,
! [SV127: $i,SV268: $i,SV241: $i,SV33: $i,SV203: $i] :
( ( ( part_of @ SV203 @ SV33 )
= $true )
| ( ( ( part_of @ SV33 @ SV241 )
| ( part_of @ SV241 @ SV33 ) )
= $true )
| ( ( part_of @ SV33 @ SV203 )
= $true )
| ( ( part_of @ SV241 @ SV203 )
= $true )
| ( ( part_of @ SV203 @ SV241 )
= $true )
| ( ( end_point @ SV268 @ SV241 )
= $false )
| ( ( end_point @ SV268 @ SV203 )
= $false )
| ( ( end_point @ SV268 @ SV33 )
= $false )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(941,plain,
! [SV127: $i,SV268: $i,SV203: $i,SV241: $i,SV33: $i] :
( ( ( part_of @ SV33 @ SV241 )
= $true )
| ( ( part_of @ SV241 @ SV33 )
= $true )
| ( ( part_of @ SV203 @ SV33 )
= $true )
| ( ( part_of @ SV33 @ SV203 )
= $true )
| ( ( part_of @ SV241 @ SV203 )
= $true )
| ( ( part_of @ SV203 @ SV241 )
= $true )
| ( ( end_point @ SV268 @ SV241 )
= $false )
| ( ( end_point @ SV268 @ SV203 )
= $false )
| ( ( end_point @ SV268 @ SV33 )
= $false )
| ( ( part_of @ SV241 @ SV127 )
= $false )
| ( ( part_of @ SV203 @ SV127 )
= $false )
| ( ( part_of @ SV33 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[940]) ).
thf(942,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[201,941,933,932,929,928,927,919,913,909,906,902,901,896,895,893,885,884,883,873,872,862,861,860,859,854,853,849,848,845,829,828,827,826,816,815,814,813,812,808,803,802,801,793,790,788,779,778,777,776,775,767,766,760,759,750,746,745,743,742,731,730,728,725,711,710,709,706,705,699,698,697,696,693,692,691,690,668,664,653,652,646,642,627,625,623,622,619,608,600,593,528,501,435,396,384,374,343,202]) ).
thf(943,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[942]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO118-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.19 % Computer : n003.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Oct 6 10:06:24 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.15/1.10
% 5.15/1.10 No.of.Axioms: 98
% 5.15/1.10
% 5.15/1.10 Length.of.Defs: 0
% 5.15/1.10
% 5.15/1.10 Contains.Choice.Funs: false
% 5.15/1.10 ...........................
% 5.15/1.10
% 5.15/1.10 ********************************
% 5.15/1.10 * All subproblems solved! *
% 5.15/1.10 ********************************
% 5.15/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:98,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:942,loop_count:0,foatp_calls:1,translation:fof_full)
% 5.15/1.10
% 5.15/1.10 %**** Beginning of derivation protocol ****
% 5.15/1.10 % SZS output start CNFRefutation
% See solution above
% 5.15/1.10
% 5.15/1.10 %**** End of derivation protocol ****
% 5.15/1.10 %**** no. of clauses in derivation: 943 ****
% 5.15/1.10 %**** clause counter: 942 ****
% 5.15/1.10
% 5.15/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:98,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:942,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------