%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO111-1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 10:17:56 AM UTC 2026
% Result : Unsatisfiable 9.41s 2.12s
% Output : CNFRefutation 9.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 57
% Syntax : Number of formulae : 545 ( 279 unt; 0 typ; 0 def)
% Number of atoms : 3871 (1207 equ; 0 cnn)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 7351 ( 811 ~;1476 |; 0 &;5064 @)
% ( 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 : 30 ( 27 usr; 6 con; 0-4 aty)
% Number of variables : 1622 ( 0 ^;1622 !; 0 ?;1622 :)
% 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_between_c,type,
between_c: $i > $i > $i > $i > $o ).
thf(tp_closed,type,
closed: $i > $o ).
thf(tp_end_point,type,
end_point: $i > $i > $o ).
thf(tp_incident_c,type,
incident_c: $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_part_of,type,
part_of: $i > $i > $o ).
thf(tp_sk15,type,
sk15: $i ).
thf(tp_sk16,type,
sk16: $i ).
thf(tp_sk17,type,
sk17: $i ).
thf(tp_sk18,type,
sk18: $i ).
thf(tp_sum,type,
sum: $i > $i > $i ).
thf(1,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/sandbox/benchmark/theBenchmark.p',between_c_defn_6) ).
thf(2,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/sandbox/benchmark/theBenchmark.p',between_c_defn_5) ).
thf(3,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/sandbox/benchmark/theBenchmark.p',between_c_defn_4) ).
thf(4,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/sandbox/benchmark/theBenchmark.p',between_c_defn_3) ).
thf(5,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/sandbox/benchmark/theBenchmark.p',between_c_defn_2) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( B != D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn_1) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9_48) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9_47) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9_46) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9_45) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( ( ax0_sk12 @ C @ B )
= ( sum @ B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8_44) ).
thf(12,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/sandbox/benchmark/theBenchmark.p',c7_43) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( A
!= ( ax0_sk11 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_42) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( end_point @ ( ax0_sk11 @ A @ B ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_41) ).
thf(15,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/sandbox/benchmark/theBenchmark.p',c5_40) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( B
= ( sum @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4_39) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( meet @ A @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4_38) ).
thf(18,axiom,
! [A: $i] : ( inner_point @ ( ax0_sk8 @ A ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_37) ).
thf(19,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/sandbox/benchmark/theBenchmark.p',c2_36) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ( A = B )
| ( open @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1_35) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( open @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_34) ).
thf(22,axiom,
! [A: $i] :
( ~ ( open @ A )
| ( end_point @ ( ax0_sk7 @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_33) ).
thf(23,axiom,
! [A: $i] :
( ( end_point @ ( ax0_sk6 @ A ) @ A )
| ( closed @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closed_defn_32) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ~ ( closed @ A )
| ~ ( end_point @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closed_defn_31) ).
thf(25,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/sandbox/benchmark/theBenchmark.p',meet_defn_30) ).
thf(26,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/sandbox/benchmark/theBenchmark.p',meet_defn_29) ).
thf(27,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/sandbox/benchmark/theBenchmark.p',meet_defn_28) ).
thf(28,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/sandbox/benchmark/theBenchmark.p',meet_defn_27) ).
thf(29,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/sandbox/benchmark/theBenchmark.p',meet_defn_26) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_25) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn_24) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( inner_point @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_23) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ~ ( end_point @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_22) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( incident_c @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_21) ).
thf(35,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/sandbox/benchmark/theBenchmark.p',end_point_defn_20) ).
thf(36,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/sandbox/benchmark/theBenchmark.p',end_point_defn_19) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( incident_c @ A @ ( ax0_sk4 @ B @ A ) )
| ( end_point @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_18) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( incident_c @ A @ ( ax0_sk3 @ B @ A ) )
| ( end_point @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_17) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( part_of @ ( ax0_sk4 @ B @ A ) @ B )
| ( end_point @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_16) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( part_of @ ( ax0_sk3 @ B @ A ) @ B )
| ( end_point @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_15) ).
thf(41,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/sandbox/benchmark/theBenchmark.p',end_point_defn_14) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( incident_c @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_13) ).
thf(43,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/sandbox/benchmark/theBenchmark.p',sum_defn_12) ).
thf(44,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/sandbox/benchmark/theBenchmark.p',sum_defn_11) ).
thf(45,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/sandbox/benchmark/theBenchmark.p',sum_defn_10) ).
thf(46,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/sandbox/benchmark/theBenchmark.p',sum_defn_9) ).
thf(47,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/sandbox/benchmark/theBenchmark.p',sum_defn_8) ).
thf(48,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/sandbox/benchmark/theBenchmark.p',sum_defn_7) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ C )
| ( incident_c @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_6) ).
thf(50,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( A
!= ( sum @ B @ C ) )
| ~ ( incident_c @ D @ B )
| ( incident_c @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn_5) ).
thf(51,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/sandbox/benchmark/theBenchmark.p',sum_defn_4) ).
thf(52,axiom,
! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ A @ B ) @ B )
| ( part_of @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_3) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk1 @ A @ B ) @ A )
| ( part_of @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_2) ).
thf(54,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( part_of @ A @ B )
| ~ ( incident_c @ C @ A )
| ( incident_c @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_1) ).
thf(55,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(56,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[55]) ).
thf(57,negated_conjecture,
( ~ ( incident_c @ sk16 @ sk15 )
| ~ ( incident_c @ sk17 @ sk15 )
| ~ ( incident_c @ sk18 @ sk15 )
| ( sk16 = sk17 )
| ( sk17 = sk18 )
| ( sk16 = sk18 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1_78) ).
thf(58,negated_conjecture,
between_c @ sk15 @ sk16 @ sk17 @ sk18,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1_77) ).
thf(59,plain,
$false = $false,
inference(unfold_def,[status(thm)],[56]) ).
thf(60,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)],[1]) ).
thf(61,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)],[2]) ).
thf(62,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)],[3]) ).
thf(63,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)],[4]) ).
thf(64,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)],[5]) ).
thf(65,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( B != D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(66,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)],[7]) ).
thf(67,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)],[8]) ).
thf(68,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)],[9]) ).
thf(69,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)],[10]) ).
thf(70,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( ( ax0_sk12 @ C @ B )
= ( sum @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(71,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)],[12]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( A
!= ( ax0_sk11 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( end_point @ ( ax0_sk11 @ A @ B ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(74,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)],[15]) ).
thf(75,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)],[16]) ).
thf(76,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)],[17]) ).
thf(77,plain,
( ( ! [A: $i] : ( inner_point @ ( ax0_sk8 @ A ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(78,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)],[19]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ( A = B )
| ( open @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( open @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(81,plain,
( ( ! [A: $i] :
( ~ ( open @ A )
| ( end_point @ ( ax0_sk7 @ A ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(82,plain,
( ( ! [A: $i] :
( ( end_point @ ( ax0_sk6 @ A ) @ A )
| ( closed @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(83,plain,
( ( ! [A: $i,B: $i] :
( ~ ( closed @ A )
| ~ ( end_point @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(84,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)],[25]) ).
thf(85,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)],[26]) ).
thf(86,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)],[27]) ).
thf(87,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)],[28]) ).
thf(88,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)],[29]) ).
thf(89,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(90,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( inner_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ~ ( end_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(94,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)],[35]) ).
thf(95,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)],[36]) ).
thf(96,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)],[37]) ).
thf(97,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)],[38]) ).
thf(98,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)],[39]) ).
thf(99,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)],[40]) ).
thf(100,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)],[41]) ).
thf(101,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(102,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)],[43]) ).
thf(103,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)],[44]) ).
thf(104,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)],[45]) ).
thf(105,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)],[46]) ).
thf(106,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)],[47]) ).
thf(107,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)],[48]) ).
thf(108,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)],[49]) ).
thf(109,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)],[50]) ).
thf(110,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)],[51]) ).
thf(111,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ A @ B ) @ B )
| ( part_of @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(112,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk1 @ A @ B ) @ A )
| ( part_of @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(113,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)],[54]) ).
thf(114,plain,
( ( ~ ( incident_c @ sk16 @ sk15 )
| ~ ( incident_c @ sk17 @ sk15 )
| ~ ( incident_c @ sk18 @ sk15 )
| ( sk16 = sk17 )
| ( sk17 = sk18 )
| ( sk16 = sk18 ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(115,plain,
( ( between_c @ sk15 @ sk16 @ sk17 @ sk18 )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(116,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[59]) ).
thf(117,plain,
( ( between_c @ sk15 @ sk16 @ sk17 @ sk18 )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(118,plain,
( ( ~ ( incident_c @ sk16 @ sk15 )
| ~ ( incident_c @ sk17 @ sk15 )
| ~ ( incident_c @ sk18 @ sk15 )
| ( sk16 = sk17 )
| ( sk17 = sk18 )
| ( sk16 = sk18 ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(119,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( part_of @ A @ B )
| ~ ( incident_c @ C @ A )
| ( incident_c @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(120,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk1 @ A @ B ) @ A )
| ( part_of @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(121,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ A @ B ) @ B )
| ( part_of @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(122,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)],[110]) ).
thf(123,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)],[109]) ).
thf(124,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)],[108]) ).
thf(125,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)],[107]) ).
thf(126,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)],[106]) ).
thf(127,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)],[105]) ).
thf(128,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)],[104]) ).
thf(129,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)],[103]) ).
thf(130,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)],[102]) ).
thf(131,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(132,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)],[100]) ).
thf(133,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)],[99]) ).
thf(134,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)],[98]) ).
thf(135,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)],[97]) ).
thf(136,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)],[96]) ).
thf(137,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)],[95]) ).
thf(138,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)],[94]) ).
thf(139,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(140,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ~ ( end_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(141,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( inner_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(142,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(143,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(144,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)],[88]) ).
thf(145,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)],[87]) ).
thf(146,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)],[86]) ).
thf(147,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)],[85]) ).
thf(148,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)],[84]) ).
thf(149,plain,
( ( ! [A: $i,B: $i] :
( ~ ( closed @ A )
| ~ ( end_point @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(150,plain,
( ( ! [A: $i] :
( ( end_point @ ( ax0_sk6 @ A ) @ A )
| ( closed @ A ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(151,plain,
( ( ! [A: $i] :
( ~ ( open @ A )
| ( end_point @ ( ax0_sk7 @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(152,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( open @ B ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(153,plain,
( ( ! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ( A = B )
| ( open @ A ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(154,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)],[78]) ).
thf(155,plain,
( ( ! [A: $i] : ( inner_point @ ( ax0_sk8 @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(156,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( meet @ A @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(157,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( B
= ( sum @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
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(copy,[status(thm)],[74]) ).
thf(159,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( end_point @ ( ax0_sk11 @ A @ B ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(160,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( A
!= ( ax0_sk11 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(161,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)],[71]) ).
thf(162,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( ( ax0_sk12 @ C @ B )
= ( sum @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(163,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)],[69]) ).
thf(164,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)],[68]) ).
thf(165,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)],[67]) ).
thf(166,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)],[66]) ).
thf(167,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( between_c @ A @ B @ C @ D )
| ( B != D ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(168,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)],[64]) ).
thf(169,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)],[63]) ).
thf(170,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)],[62]) ).
thf(171,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)],[61]) ).
thf(172,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)],[60]) ).
thf(173,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[116]) ).
thf(174,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)],[123]) ).
thf(175,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
| ( SX1 != SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(176,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)],[161]) ).
thf(177,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)],[122]) ).
thf(178,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)],[124]) ).
thf(179,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( end_point @ SX0 @ SX1 )
| ( SX0
!= ( ax0_sk11 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(180,plain,
( ( ( ~ ( incident_c @ sk16 @ sk15 ) )
= $true )
| ( ( ~ ( incident_c @ sk17 @ sk15 )
| ~ ( incident_c @ sk18 @ sk15 )
| ( sk16 = sk17 )
| ( sk17 = sk18 )
| ( sk16 = sk18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(181,plain,
! [SV1: $i] :
( ( ! [SY151: $i,SY152: $i] :
( ~ ( part_of @ SV1 @ SY151 )
| ~ ( incident_c @ SY152 @ SV1 )
| ( incident_c @ SY152 @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(182,plain,
! [SV2: $i] :
( ( ! [SY153: $i] :
( ( incident_c @ ( ax0_sk1 @ SV2 @ SY153 ) @ SV2 )
| ( part_of @ SV2 @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(183,plain,
! [SV3: $i] :
( ( ! [SY154: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ SV3 @ SY154 ) @ SY154 )
| ( part_of @ SV3 @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(184,plain,
! [SV4: $i] :
( ( ! [SY155: $i,SY156: $i] :
( ( incident_c @ ( ax0_sk2 @ SV4 @ SY155 @ SY156 ) @ SY156 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SY155 @ SY156 ) @ SY155 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SY155 @ SY156 ) @ SV4 )
| ( SY156
= ( sum @ SY155 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(185,plain,
! [SV5: $i] :
( ( ! [SY157: $i,SY158: $i] :
( ( incident_c @ ( ax0_sk2 @ SV5 @ SY157 @ SY158 ) @ SY158 )
| ~ ( incident_c @ ( ax0_sk2 @ SV5 @ SY157 @ SY158 ) @ SY158 )
| ( SY158
= ( sum @ SY157 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(186,plain,
! [SV6: $i] :
( ( ! [SY159: $i,SY160: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV6 @ SY159 @ SY160 ) @ SY159 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SY159 @ SY160 ) @ SY159 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SY159 @ SY160 ) @ SV6 )
| ( SY160
= ( sum @ SY159 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(187,plain,
! [SV7: $i] :
( ( ! [SY161: $i,SY162: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV7 @ SY161 @ SY162 ) @ SV7 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SY161 @ SY162 ) @ SY161 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SY161 @ SY162 ) @ SV7 )
| ( SY162
= ( sum @ SY161 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(188,plain,
! [SV8: $i] :
( ( ! [SY163: $i,SY164: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SY163 @ SY164 ) @ SY163 )
| ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SY163 @ SY164 ) @ SY164 )
| ( SY164
= ( sum @ SY163 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(189,plain,
! [SV9: $i] :
( ( ! [SY165: $i,SY166: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SY165 @ SY166 ) @ SV9 )
| ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SY165 @ SY166 ) @ SY166 )
| ( SY166
= ( sum @ SY165 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(190,plain,
! [SV10: $i] :
( ( ! [SY167: $i] :
( ~ ( end_point @ SV10 @ SY167 )
| ( incident_c @ SV10 @ SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(191,plain,
! [SV11: $i] :
( ( ! [SY168: $i,SY169: $i,SY170: $i] :
( ~ ( end_point @ SV11 @ SY168 )
| ~ ( part_of @ SY169 @ SY168 )
| ~ ( part_of @ SY170 @ SY168 )
| ~ ( incident_c @ SV11 @ SY169 )
| ~ ( incident_c @ SV11 @ SY170 )
| ( part_of @ SY169 @ SY170 )
| ( part_of @ SY170 @ SY169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(192,plain,
! [SV12: $i] :
( ( ! [SY171: $i] :
( ~ ( incident_c @ SV12 @ SY171 )
| ( part_of @ ( ax0_sk3 @ SY171 @ SV12 ) @ SY171 )
| ( end_point @ SV12 @ SY171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(193,plain,
! [SV13: $i] :
( ( ! [SY172: $i] :
( ~ ( incident_c @ SV13 @ SY172 )
| ( part_of @ ( ax0_sk4 @ SY172 @ SV13 ) @ SY172 )
| ( end_point @ SV13 @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(194,plain,
! [SV14: $i] :
( ( ! [SY173: $i] :
( ~ ( incident_c @ SV14 @ SY173 )
| ( incident_c @ SV14 @ ( ax0_sk3 @ SY173 @ SV14 ) )
| ( end_point @ SV14 @ SY173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(195,plain,
! [SV15: $i] :
( ( ! [SY174: $i] :
( ~ ( incident_c @ SV15 @ SY174 )
| ( incident_c @ SV15 @ ( ax0_sk4 @ SY174 @ SV15 ) )
| ( end_point @ SV15 @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(196,plain,
! [SV16: $i] :
( ( ! [SY175: $i] :
( ~ ( incident_c @ SV16 @ SY175 )
| ~ ( part_of @ ( ax0_sk3 @ SY175 @ SV16 ) @ ( ax0_sk4 @ SY175 @ SV16 ) )
| ( end_point @ SV16 @ SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(197,plain,
! [SV17: $i] :
( ( ! [SY176: $i] :
( ~ ( incident_c @ SV17 @ SY176 )
| ~ ( part_of @ ( ax0_sk4 @ SY176 @ SV17 ) @ ( ax0_sk3 @ SY176 @ SV17 ) )
| ( end_point @ SV17 @ SY176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(198,plain,
! [SV18: $i] :
( ( ! [SY177: $i] :
( ~ ( inner_point @ SV18 @ SY177 )
| ( incident_c @ SV18 @ SY177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(199,plain,
! [SV19: $i] :
( ( ! [SY178: $i] :
( ~ ( inner_point @ SV19 @ SY178 )
| ~ ( end_point @ SV19 @ SY178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(200,plain,
! [SV20: $i] :
( ( ! [SY179: $i] :
( ~ ( incident_c @ SV20 @ SY179 )
| ( end_point @ SV20 @ SY179 )
| ( inner_point @ SV20 @ SY179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(201,plain,
! [SV21: $i] :
( ( ! [SY180: $i,SY181: $i] :
( ~ ( meet @ SV21 @ SY180 @ SY181 )
| ( incident_c @ SV21 @ SY180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(202,plain,
! [SV22: $i] :
( ( ! [SY182: $i,SY183: $i] :
( ~ ( meet @ SV22 @ SY182 @ SY183 )
| ( incident_c @ SV22 @ SY183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(203,plain,
! [SV23: $i] :
( ( ! [SY184: $i,SY185: $i,SY186: $i] :
( ~ ( meet @ SV23 @ SY184 @ SY185 )
| ~ ( incident_c @ SY186 @ SY184 )
| ~ ( incident_c @ SY186 @ SY185 )
| ( end_point @ SY186 @ SY184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(204,plain,
! [SV24: $i] :
( ( ! [SY187: $i,SY188: $i,SY189: $i] :
( ~ ( meet @ SV24 @ SY187 @ SY188 )
| ~ ( incident_c @ SY189 @ SY187 )
| ~ ( incident_c @ SY189 @ SY188 )
| ( end_point @ SY189 @ SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(205,plain,
! [SV25: $i] :
( ( ! [SY190: $i,SY191: $i] :
( ~ ( incident_c @ SV25 @ SY190 )
| ~ ( incident_c @ SV25 @ SY191 )
| ( incident_c @ ( ax0_sk5 @ SY191 @ SY190 @ SV25 ) @ SY190 )
| ( meet @ SV25 @ SY190 @ SY191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(206,plain,
! [SV26: $i] :
( ( ! [SY192: $i,SY193: $i] :
( ~ ( incident_c @ SV26 @ SY192 )
| ~ ( incident_c @ SV26 @ SY193 )
| ( incident_c @ ( ax0_sk5 @ SY193 @ SY192 @ SV26 ) @ SY193 )
| ( meet @ SV26 @ SY192 @ SY193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(207,plain,
! [SV27: $i] :
( ( ! [SY194: $i,SY195: $i] :
( ~ ( incident_c @ SV27 @ SY194 )
| ~ ( incident_c @ SV27 @ SY195 )
| ~ ( end_point @ ( ax0_sk5 @ SY195 @ SY194 @ SV27 ) @ SY194 )
| ~ ( end_point @ ( ax0_sk5 @ SY195 @ SY194 @ SV27 ) @ SY195 )
| ( meet @ SV27 @ SY194 @ SY195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(208,plain,
! [SV28: $i] :
( ( ! [SY196: $i] :
( ~ ( closed @ SV28 )
| ~ ( end_point @ SY196 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(209,plain,
! [SV29: $i] :
( ( ( end_point @ ( ax0_sk6 @ SV29 ) @ SV29 )
| ( closed @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(210,plain,
! [SV30: $i] :
( ( ~ ( open @ SV30 )
| ( end_point @ ( ax0_sk7 @ SV30 ) @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(211,plain,
! [SV31: $i] :
( ( ! [SY197: $i] :
( ~ ( end_point @ SV31 @ SY197 )
| ( open @ SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(212,plain,
! [SV32: $i] :
( ( ! [SY198: $i] :
( ~ ( part_of @ SV32 @ SY198 )
| ( SV32 = SY198 )
| ( open @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(213,plain,
! [SV33: $i] :
( ( ! [SY199: $i,SY200: $i,SY201: $i,SY202: $i] :
( ~ ( part_of @ SV33 @ SY199 )
| ~ ( part_of @ SY200 @ SY199 )
| ~ ( part_of @ SY201 @ SY199 )
| ~ ( end_point @ SY202 @ SV33 )
| ~ ( end_point @ SY202 @ SY200 )
| ~ ( end_point @ SY202 @ SY201 )
| ( part_of @ SY200 @ SY201 )
| ( part_of @ SY201 @ SY200 )
| ( part_of @ SV33 @ SY200 )
| ( part_of @ SY200 @ SV33 )
| ( part_of @ SV33 @ SY201 )
| ( part_of @ SY201 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(214,plain,
! [SV34: $i] :
( ( inner_point @ ( ax0_sk8 @ SV34 ) @ SV34 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(215,plain,
! [SV35: $i] :
( ( ! [SY203: $i] :
( ~ ( inner_point @ SV35 @ SY203 )
| ( meet @ SV35 @ ( ax0_sk9 @ SV35 @ SY203 ) @ ( ax0_sk10 @ SV35 @ SY203 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(216,plain,
! [SV36: $i] :
( ( ! [SY204: $i] :
( ~ ( inner_point @ SV36 @ SY204 )
| ( SY204
= ( sum @ ( ax0_sk9 @ SV36 @ SY204 ) @ ( ax0_sk10 @ SV36 @ SY204 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(217,plain,
! [SV37: $i] :
( ( ! [SY205: $i,SY206: $i,SY207: $i] :
( ~ ( end_point @ SV37 @ SY205 )
| ~ ( end_point @ SY206 @ SY205 )
| ~ ( end_point @ SY207 @ SY205 )
| ( SV37 = SY206 )
| ( SV37 = SY207 )
| ( SY206 = SY207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(218,plain,
! [SV38: $i] :
( ( ! [SY208: $i] :
( ~ ( end_point @ SV38 @ SY208 )
| ( end_point @ ( ax0_sk11 @ SV38 @ SY208 ) @ SY208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(219,plain,
! [SV39: $i] :
( ( ! [SY209: $i,SY210: $i] :
( ~ ( meet @ SV39 @ SY209 @ SY210 )
| ( ( ax0_sk12 @ SY210 @ SY209 )
= ( sum @ SY209 @ SY210 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(220,plain,
! [SV40: $i] :
( ( ! [SY211: $i] :
( ( incident_c @ ( ax0_sk13 @ SV40 @ SY211 ) @ SY211 )
| ( incident_c @ ( ax0_sk13 @ SV40 @ SY211 ) @ SV40 )
| ( SY211 = SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(221,plain,
! [SV41: $i] :
( ( ! [SY212: $i] :
( ( incident_c @ ( ax0_sk13 @ SV41 @ SY212 ) @ SY212 )
| ~ ( incident_c @ ( ax0_sk13 @ SV41 @ SY212 ) @ SY212 )
| ( SY212 = SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(222,plain,
! [SV42: $i] :
( ( ! [SY213: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ SV42 @ SY213 ) @ SV42 )
| ( incident_c @ ( ax0_sk13 @ SV42 @ SY213 ) @ SV42 )
| ( SY213 = SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(223,plain,
! [SV43: $i] :
( ( ! [SY214: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SY214 ) @ SV43 )
| ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SY214 ) @ SY214 )
| ( SY214 = SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(224,plain,
! [SV44: $i] :
( ( ! [SY215: $i,SY216: $i,SY217: $i] :
( ~ ( between_c @ SV44 @ SY215 @ SY216 @ SY217 )
| ( part_of @ ( ax1_sk1 @ SY217 @ SY216 @ SY215 @ SV44 ) @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(225,plain,
! [SV45: $i] :
( ( ! [SY218: $i,SY219: $i,SY220: $i] :
( ~ ( between_c @ SV45 @ SY218 @ SY219 @ SY220 )
| ( end_point @ SY218 @ ( ax1_sk1 @ SY220 @ SY219 @ SY218 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(226,plain,
! [SV46: $i] :
( ( ! [SY221: $i,SY222: $i,SY223: $i] :
( ~ ( between_c @ SV46 @ SY221 @ SY222 @ SY223 )
| ( end_point @ SY223 @ ( ax1_sk1 @ SY223 @ SY222 @ SY221 @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(227,plain,
! [SV47: $i] :
( ( ! [SY224: $i,SY225: $i,SY226: $i] :
( ~ ( between_c @ SV47 @ SY224 @ SY225 @ SY226 )
| ( inner_point @ SY225 @ ( ax1_sk1 @ SY226 @ SY225 @ SY224 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(228,plain,
! [SV48: $i] :
( ( ! [SY227: $i,SY228: $i,SY229: $i,SY230: $i] :
( ( SV48 = SY227 )
| ~ ( part_of @ SY228 @ SY229 )
| ~ ( end_point @ SV48 @ SY228 )
| ~ ( end_point @ SY227 @ SY228 )
| ~ ( inner_point @ SY230 @ SY228 )
| ( between_c @ SY229 @ SV48 @ SY230 @ SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(229,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(230,plain,
! [SV49: $i] :
( ( ! [SY231: $i,SY232: $i,SY233: $i] :
( ( SV49
!= ( sum @ SY231 @ SY232 ) )
| ~ ( incident_c @ SY233 @ SY231 )
| ( incident_c @ SY233 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(231,plain,
! [SV50: $i] :
( ( ! [SY234: $i,SY235: $i,SY236: $i] :
( ~ ( between_c @ SV50 @ SY234 @ SY235 @ SY236 )
| ( SY234 != SY236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(232,plain,
! [SV51: $i] :
( ( ! [SY237: $i,SY238: $i,SY239: $i,SY240: $i] :
( ~ ( closed @ SV51 )
| ~ ( meet @ SY237 @ SY238 @ SY239 )
| ( SV51
!= ( sum @ SY238 @ SY239 ) )
| ~ ( end_point @ SY240 @ SY238 )
| ( meet @ SY240 @ SY238 @ SY239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(233,plain,
! [SV52: $i] :
( ( ! [SY241: $i,SY242: $i,SY243: $i] :
( ( SV52
!= ( sum @ SY241 @ SY242 ) )
| ~ ( incident_c @ SY243 @ SV52 )
| ( incident_c @ SY243 @ SY241 )
| ( incident_c @ SY243 @ SY242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(234,plain,
! [SV53: $i] :
( ( ! [SY244: $i,SY245: $i,SY246: $i] :
( ( SV53
!= ( sum @ SY244 @ SY245 ) )
| ~ ( incident_c @ SY246 @ SY245 )
| ( incident_c @ SY246 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(235,plain,
! [SV54: $i] :
( ( ! [SY247: $i] :
( ~ ( end_point @ SV54 @ SY247 )
| ( SV54
!= ( ax0_sk11 @ SV54 @ SY247 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(236,plain,
( ( ( incident_c @ sk16 @ sk15 )
= $false )
| ( ( ~ ( incident_c @ sk17 @ sk15 )
| ~ ( incident_c @ sk18 @ sk15 )
| ( sk16 = sk17 )
| ( sk17 = sk18 )
| ( sk16 = sk18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(237,plain,
! [SV55: $i,SV1: $i] :
( ( ! [SY248: $i] :
( ~ ( part_of @ SV1 @ SV55 )
| ~ ( incident_c @ SY248 @ SV1 )
| ( incident_c @ SY248 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(238,plain,
! [SV56: $i,SV2: $i] :
( ( ( incident_c @ ( ax0_sk1 @ SV2 @ SV56 ) @ SV2 )
| ( part_of @ SV2 @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(239,plain,
! [SV57: $i,SV3: $i] :
( ( ~ ( incident_c @ ( ax0_sk1 @ SV3 @ SV57 ) @ SV57 )
| ( part_of @ SV3 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(240,plain,
! [SV58: $i,SV4: $i] :
( ( ! [SY249: $i] :
( ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SY249 ) @ SY249 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SY249 ) @ SV58 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SY249 ) @ SV4 )
| ( SY249
= ( sum @ SV58 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(241,plain,
! [SV59: $i,SV5: $i] :
( ( ! [SY250: $i] :
( ( incident_c @ ( ax0_sk2 @ SV5 @ SV59 @ SY250 ) @ SY250 )
| ~ ( incident_c @ ( ax0_sk2 @ SV5 @ SV59 @ SY250 ) @ SY250 )
| ( SY250
= ( sum @ SV59 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(242,plain,
! [SV60: $i,SV6: $i] :
( ( ! [SY251: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SY251 ) @ SV60 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SY251 ) @ SV60 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SY251 ) @ SV6 )
| ( SY251
= ( sum @ SV60 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(243,plain,
! [SV61: $i,SV7: $i] :
( ( ! [SY252: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SY252 ) @ SV7 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SY252 ) @ SV61 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SY252 ) @ SV7 )
| ( SY252
= ( sum @ SV61 @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(244,plain,
! [SV62: $i,SV8: $i] :
( ( ! [SY253: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SY253 ) @ SV62 )
| ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SY253 ) @ SY253 )
| ( SY253
= ( sum @ SV62 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(245,plain,
! [SV63: $i,SV9: $i] :
( ( ! [SY254: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SY254 ) @ SV9 )
| ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SY254 ) @ SY254 )
| ( SY254
= ( sum @ SV63 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(246,plain,
! [SV64: $i,SV10: $i] :
( ( ~ ( end_point @ SV10 @ SV64 )
| ( incident_c @ SV10 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(247,plain,
! [SV65: $i,SV11: $i] :
( ( ! [SY255: $i,SY256: $i] :
( ~ ( end_point @ SV11 @ SV65 )
| ~ ( part_of @ SY255 @ SV65 )
| ~ ( part_of @ SY256 @ SV65 )
| ~ ( incident_c @ SV11 @ SY255 )
| ~ ( incident_c @ SV11 @ SY256 )
| ( part_of @ SY255 @ SY256 )
| ( part_of @ SY256 @ SY255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(248,plain,
! [SV66: $i,SV12: $i] :
( ( ~ ( incident_c @ SV12 @ SV66 )
| ( part_of @ ( ax0_sk3 @ SV66 @ SV12 ) @ SV66 )
| ( end_point @ SV12 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(249,plain,
! [SV67: $i,SV13: $i] :
( ( ~ ( incident_c @ SV13 @ SV67 )
| ( part_of @ ( ax0_sk4 @ SV67 @ SV13 ) @ SV67 )
| ( end_point @ SV13 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(250,plain,
! [SV68: $i,SV14: $i] :
( ( ~ ( incident_c @ SV14 @ SV68 )
| ( incident_c @ SV14 @ ( ax0_sk3 @ SV68 @ SV14 ) )
| ( end_point @ SV14 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(251,plain,
! [SV69: $i,SV15: $i] :
( ( ~ ( incident_c @ SV15 @ SV69 )
| ( incident_c @ SV15 @ ( ax0_sk4 @ SV69 @ SV15 ) )
| ( end_point @ SV15 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(252,plain,
! [SV70: $i,SV16: $i] :
( ( ~ ( incident_c @ SV16 @ SV70 )
| ~ ( part_of @ ( ax0_sk3 @ SV70 @ SV16 ) @ ( ax0_sk4 @ SV70 @ SV16 ) )
| ( end_point @ SV16 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(253,plain,
! [SV71: $i,SV17: $i] :
( ( ~ ( incident_c @ SV17 @ SV71 )
| ~ ( part_of @ ( ax0_sk4 @ SV71 @ SV17 ) @ ( ax0_sk3 @ SV71 @ SV17 ) )
| ( end_point @ SV17 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(254,plain,
! [SV72: $i,SV18: $i] :
( ( ~ ( inner_point @ SV18 @ SV72 )
| ( incident_c @ SV18 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(255,plain,
! [SV73: $i,SV19: $i] :
( ( ~ ( inner_point @ SV19 @ SV73 )
| ~ ( end_point @ SV19 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(256,plain,
! [SV74: $i,SV20: $i] :
( ( ~ ( incident_c @ SV20 @ SV74 )
| ( end_point @ SV20 @ SV74 )
| ( inner_point @ SV20 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(257,plain,
! [SV75: $i,SV21: $i] :
( ( ! [SY257: $i] :
( ~ ( meet @ SV21 @ SV75 @ SY257 )
| ( incident_c @ SV21 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(258,plain,
! [SV76: $i,SV22: $i] :
( ( ! [SY258: $i] :
( ~ ( meet @ SV22 @ SV76 @ SY258 )
| ( incident_c @ SV22 @ SY258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(259,plain,
! [SV77: $i,SV23: $i] :
( ( ! [SY259: $i,SY260: $i] :
( ~ ( meet @ SV23 @ SV77 @ SY259 )
| ~ ( incident_c @ SY260 @ SV77 )
| ~ ( incident_c @ SY260 @ SY259 )
| ( end_point @ SY260 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(260,plain,
! [SV78: $i,SV24: $i] :
( ( ! [SY261: $i,SY262: $i] :
( ~ ( meet @ SV24 @ SV78 @ SY261 )
| ~ ( incident_c @ SY262 @ SV78 )
| ~ ( incident_c @ SY262 @ SY261 )
| ( end_point @ SY262 @ SY261 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(261,plain,
! [SV79: $i,SV25: $i] :
( ( ! [SY263: $i] :
( ~ ( incident_c @ SV25 @ SV79 )
| ~ ( incident_c @ SV25 @ SY263 )
| ( incident_c @ ( ax0_sk5 @ SY263 @ SV79 @ SV25 ) @ SV79 )
| ( meet @ SV25 @ SV79 @ SY263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(262,plain,
! [SV80: $i,SV26: $i] :
( ( ! [SY264: $i] :
( ~ ( incident_c @ SV26 @ SV80 )
| ~ ( incident_c @ SV26 @ SY264 )
| ( incident_c @ ( ax0_sk5 @ SY264 @ SV80 @ SV26 ) @ SY264 )
| ( meet @ SV26 @ SV80 @ SY264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(263,plain,
! [SV81: $i,SV27: $i] :
( ( ! [SY265: $i] :
( ~ ( incident_c @ SV27 @ SV81 )
| ~ ( incident_c @ SV27 @ SY265 )
| ~ ( end_point @ ( ax0_sk5 @ SY265 @ SV81 @ SV27 ) @ SV81 )
| ~ ( end_point @ ( ax0_sk5 @ SY265 @ SV81 @ SV27 ) @ SY265 )
| ( meet @ SV27 @ SV81 @ SY265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(264,plain,
! [SV82: $i,SV28: $i] :
( ( ~ ( closed @ SV28 )
| ~ ( end_point @ SV82 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(265,plain,
! [SV29: $i] :
( ( ( end_point @ ( ax0_sk6 @ SV29 ) @ SV29 )
= $true )
| ( ( closed @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(266,plain,
! [SV30: $i] :
( ( ( ~ ( open @ SV30 ) )
= $true )
| ( ( end_point @ ( ax0_sk7 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(267,plain,
! [SV83: $i,SV31: $i] :
( ( ~ ( end_point @ SV31 @ SV83 )
| ( open @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(268,plain,
! [SV84: $i,SV32: $i] :
( ( ~ ( part_of @ SV32 @ SV84 )
| ( SV32 = SV84 )
| ( open @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(269,plain,
! [SV85: $i,SV33: $i] :
( ( ! [SY266: $i,SY267: $i,SY268: $i] :
( ~ ( part_of @ SV33 @ SV85 )
| ~ ( part_of @ SY266 @ SV85 )
| ~ ( part_of @ SY267 @ SV85 )
| ~ ( end_point @ SY268 @ SV33 )
| ~ ( end_point @ SY268 @ SY266 )
| ~ ( end_point @ SY268 @ SY267 )
| ( part_of @ SY266 @ SY267 )
| ( part_of @ SY267 @ SY266 )
| ( part_of @ SV33 @ SY266 )
| ( part_of @ SY266 @ SV33 )
| ( part_of @ SV33 @ SY267 )
| ( part_of @ SY267 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(270,plain,
! [SV86: $i,SV35: $i] :
( ( ~ ( inner_point @ SV35 @ SV86 )
| ( meet @ SV35 @ ( ax0_sk9 @ SV35 @ SV86 ) @ ( ax0_sk10 @ SV35 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(271,plain,
! [SV87: $i,SV36: $i] :
( ( ~ ( inner_point @ SV36 @ SV87 )
| ( SV87
= ( sum @ ( ax0_sk9 @ SV36 @ SV87 ) @ ( ax0_sk10 @ SV36 @ SV87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(272,plain,
! [SV88: $i,SV37: $i] :
( ( ! [SY269: $i,SY270: $i] :
( ~ ( end_point @ SV37 @ SV88 )
| ~ ( end_point @ SY269 @ SV88 )
| ~ ( end_point @ SY270 @ SV88 )
| ( SV37 = SY269 )
| ( SV37 = SY270 )
| ( SY269 = SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(273,plain,
! [SV89: $i,SV38: $i] :
( ( ~ ( end_point @ SV38 @ SV89 )
| ( end_point @ ( ax0_sk11 @ SV38 @ SV89 ) @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(274,plain,
! [SV90: $i,SV39: $i] :
( ( ! [SY271: $i] :
( ~ ( meet @ SV39 @ SV90 @ SY271 )
| ( ( ax0_sk12 @ SY271 @ SV90 )
= ( sum @ SV90 @ SY271 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(275,plain,
! [SV91: $i,SV40: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV40 @ SV91 ) @ SV91 )
| ( incident_c @ ( ax0_sk13 @ SV40 @ SV91 ) @ SV40 )
| ( SV91 = SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(276,plain,
! [SV92: $i,SV41: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV41 @ SV92 ) @ SV92 )
| ~ ( incident_c @ ( ax0_sk13 @ SV41 @ SV92 ) @ SV92 )
| ( SV92 = SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(277,plain,
! [SV93: $i,SV42: $i] :
( ( ~ ( incident_c @ ( ax0_sk13 @ SV42 @ SV93 ) @ SV42 )
| ( incident_c @ ( ax0_sk13 @ SV42 @ SV93 ) @ SV42 )
| ( SV93 = SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(278,plain,
! [SV94: $i,SV43: $i] :
( ( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV94 ) @ SV43 )
| ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV94 ) @ SV94 )
| ( SV94 = SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(279,plain,
! [SV95: $i,SV44: $i] :
( ( ! [SY272: $i,SY273: $i] :
( ~ ( between_c @ SV44 @ SV95 @ SY272 @ SY273 )
| ( part_of @ ( ax1_sk1 @ SY273 @ SY272 @ SV95 @ SV44 ) @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(280,plain,
! [SV96: $i,SV45: $i] :
( ( ! [SY274: $i,SY275: $i] :
( ~ ( between_c @ SV45 @ SV96 @ SY274 @ SY275 )
| ( end_point @ SV96 @ ( ax1_sk1 @ SY275 @ SY274 @ SV96 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(281,plain,
! [SV97: $i,SV46: $i] :
( ( ! [SY276: $i,SY277: $i] :
( ~ ( between_c @ SV46 @ SV97 @ SY276 @ SY277 )
| ( end_point @ SY277 @ ( ax1_sk1 @ SY277 @ SY276 @ SV97 @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(282,plain,
! [SV98: $i,SV47: $i] :
( ( ! [SY278: $i,SY279: $i] :
( ~ ( between_c @ SV47 @ SV98 @ SY278 @ SY279 )
| ( inner_point @ SY278 @ ( ax1_sk1 @ SY279 @ SY278 @ SV98 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(283,plain,
! [SV99: $i,SV48: $i] :
( ( ! [SY280: $i,SY281: $i,SY282: $i] :
( ( SV48 = SV99 )
| ~ ( part_of @ SY280 @ SY281 )
| ~ ( end_point @ SV48 @ SY280 )
| ~ ( end_point @ SV99 @ SY280 )
| ~ ( inner_point @ SY282 @ SY280 )
| ( between_c @ SY281 @ SV48 @ SY282 @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(284,plain,
! [SV100: $i,SV49: $i] :
( ( ! [SY283: $i,SY284: $i] :
( ( SV49
!= ( sum @ SV100 @ SY283 ) )
| ~ ( incident_c @ SY284 @ SV100 )
| ( incident_c @ SY284 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(285,plain,
! [SV101: $i,SV50: $i] :
( ( ! [SY285: $i,SY286: $i] :
( ~ ( between_c @ SV50 @ SV101 @ SY285 @ SY286 )
| ( SV101 != SY286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(286,plain,
! [SV102: $i,SV51: $i] :
( ( ! [SY287: $i,SY288: $i,SY289: $i] :
( ~ ( closed @ SV51 )
| ~ ( meet @ SV102 @ SY287 @ SY288 )
| ( SV51
!= ( sum @ SY287 @ SY288 ) )
| ~ ( end_point @ SY289 @ SY287 )
| ( meet @ SY289 @ SY287 @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(287,plain,
! [SV103: $i,SV52: $i] :
( ( ! [SY290: $i,SY291: $i] :
( ( SV52
!= ( sum @ SV103 @ SY290 ) )
| ~ ( incident_c @ SY291 @ SV52 )
| ( incident_c @ SY291 @ SV103 )
| ( incident_c @ SY291 @ SY290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(288,plain,
! [SV104: $i,SV53: $i] :
( ( ! [SY292: $i,SY293: $i] :
( ( SV53
!= ( sum @ SV104 @ SY292 ) )
| ~ ( incident_c @ SY293 @ SY292 )
| ( incident_c @ SY293 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(289,plain,
! [SV105: $i,SV54: $i] :
( ( ~ ( end_point @ SV54 @ SV105 )
| ( SV54
!= ( ax0_sk11 @ SV54 @ SV105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(290,plain,
( ( ( ~ ( incident_c @ sk17 @ sk15 ) )
= $true )
| ( ( ~ ( incident_c @ sk18 @ sk15 )
| ( sk16 = sk17 )
| ( sk17 = sk18 )
| ( sk16 = sk18 ) )
= $true )
| ( ( incident_c @ sk16 @ sk15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(291,plain,
! [SV106: $i,SV55: $i,SV1: $i] :
( ( ~ ( part_of @ SV1 @ SV55 )
| ~ ( incident_c @ SV106 @ SV1 )
| ( incident_c @ SV106 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(292,plain,
! [SV56: $i,SV2: $i] :
( ( ( incident_c @ ( ax0_sk1 @ SV2 @ SV56 ) @ SV2 )
= $true )
| ( ( part_of @ SV2 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(293,plain,
! [SV57: $i,SV3: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk1 @ SV3 @ SV57 ) @ SV57 ) )
= $true )
| ( ( part_of @ SV3 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(294,plain,
! [SV107: $i,SV58: $i,SV4: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV107 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV58 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV4 )
| ( SV107
= ( sum @ SV58 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(295,plain,
! [SV108: $i,SV59: $i,SV5: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV5 @ SV59 @ SV108 ) @ SV108 )
| ~ ( incident_c @ ( ax0_sk2 @ SV5 @ SV59 @ SV108 ) @ SV108 )
| ( SV108
= ( sum @ SV59 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(296,plain,
! [SV109: $i,SV60: $i,SV6: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV60 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV60 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV6 )
| ( SV109
= ( sum @ SV60 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(297,plain,
! [SV110: $i,SV61: $i,SV7: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV7 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV61 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV7 )
| ( SV110
= ( sum @ SV61 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(298,plain,
! [SV111: $i,SV62: $i,SV8: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SV111 ) @ SV62 )
| ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SV111 ) @ SV111 )
| ( SV111
= ( sum @ SV62 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(299,plain,
! [SV112: $i,SV63: $i,SV9: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SV112 ) @ SV9 )
| ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SV112 ) @ SV112 )
| ( SV112
= ( sum @ SV63 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(300,plain,
! [SV64: $i,SV10: $i] :
( ( ( ~ ( end_point @ SV10 @ SV64 ) )
= $true )
| ( ( incident_c @ SV10 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(301,plain,
! [SV113: $i,SV65: $i,SV11: $i] :
( ( ! [SY294: $i] :
( ~ ( end_point @ SV11 @ SV65 )
| ~ ( part_of @ SV113 @ SV65 )
| ~ ( part_of @ SY294 @ SV65 )
| ~ ( incident_c @ SV11 @ SV113 )
| ~ ( incident_c @ SV11 @ SY294 )
| ( part_of @ SV113 @ SY294 )
| ( part_of @ SY294 @ SV113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(302,plain,
! [SV66: $i,SV12: $i] :
( ( ( ~ ( incident_c @ SV12 @ SV66 ) )
= $true )
| ( ( ( part_of @ ( ax0_sk3 @ SV66 @ SV12 ) @ SV66 )
| ( end_point @ SV12 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(303,plain,
! [SV67: $i,SV13: $i] :
( ( ( ~ ( incident_c @ SV13 @ SV67 ) )
= $true )
| ( ( ( part_of @ ( ax0_sk4 @ SV67 @ SV13 ) @ SV67 )
| ( end_point @ SV13 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(304,plain,
! [SV68: $i,SV14: $i] :
( ( ( ~ ( incident_c @ SV14 @ SV68 ) )
= $true )
| ( ( ( incident_c @ SV14 @ ( ax0_sk3 @ SV68 @ SV14 ) )
| ( end_point @ SV14 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(305,plain,
! [SV69: $i,SV15: $i] :
( ( ( ~ ( incident_c @ SV15 @ SV69 ) )
= $true )
| ( ( ( incident_c @ SV15 @ ( ax0_sk4 @ SV69 @ SV15 ) )
| ( end_point @ SV15 @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(306,plain,
! [SV70: $i,SV16: $i] :
( ( ( ~ ( incident_c @ SV16 @ SV70 ) )
= $true )
| ( ( ~ ( part_of @ ( ax0_sk3 @ SV70 @ SV16 ) @ ( ax0_sk4 @ SV70 @ SV16 ) )
| ( end_point @ SV16 @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(307,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ( incident_c @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ( part_of @ ( ax0_sk4 @ SV71 @ SV17 ) @ ( ax0_sk3 @ SV71 @ SV17 ) )
| ( end_point @ SV17 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(308,plain,
! [SV72: $i,SV18: $i] :
( ( ( ~ ( inner_point @ SV18 @ SV72 ) )
= $true )
| ( ( incident_c @ SV18 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(309,plain,
! [SV73: $i,SV19: $i] :
( ( ( ~ ( inner_point @ SV19 @ SV73 ) )
= $true )
| ( ( ~ ( end_point @ SV19 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(310,plain,
! [SV74: $i,SV20: $i] :
( ( ( ~ ( incident_c @ SV20 @ SV74 ) )
= $true )
| ( ( ( end_point @ SV20 @ SV74 )
| ( inner_point @ SV20 @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(311,plain,
! [SV114: $i,SV75: $i,SV21: $i] :
( ( ~ ( meet @ SV21 @ SV75 @ SV114 )
| ( incident_c @ SV21 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(312,plain,
! [SV115: $i,SV76: $i,SV22: $i] :
( ( ~ ( meet @ SV22 @ SV76 @ SV115 )
| ( incident_c @ SV22 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(313,plain,
! [SV116: $i,SV77: $i,SV23: $i] :
( ( ! [SY295: $i] :
( ~ ( meet @ SV23 @ SV77 @ SV116 )
| ~ ( incident_c @ SY295 @ SV77 )
| ~ ( incident_c @ SY295 @ SV116 )
| ( end_point @ SY295 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(314,plain,
! [SV117: $i,SV78: $i,SV24: $i] :
( ( ! [SY296: $i] :
( ~ ( meet @ SV24 @ SV78 @ SV117 )
| ~ ( incident_c @ SY296 @ SV78 )
| ~ ( incident_c @ SY296 @ SV117 )
| ( end_point @ SY296 @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(315,plain,
! [SV118: $i,SV79: $i,SV25: $i] :
( ( ~ ( incident_c @ SV25 @ SV79 )
| ~ ( incident_c @ SV25 @ SV118 )
| ( incident_c @ ( ax0_sk5 @ SV118 @ SV79 @ SV25 ) @ SV79 )
| ( meet @ SV25 @ SV79 @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(316,plain,
! [SV119: $i,SV80: $i,SV26: $i] :
( ( ~ ( incident_c @ SV26 @ SV80 )
| ~ ( incident_c @ SV26 @ SV119 )
| ( incident_c @ ( ax0_sk5 @ SV119 @ SV80 @ SV26 ) @ SV119 )
| ( meet @ SV26 @ SV80 @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(317,plain,
! [SV120: $i,SV81: $i,SV27: $i] :
( ( ~ ( incident_c @ SV27 @ SV81 )
| ~ ( incident_c @ SV27 @ SV120 )
| ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV81 )
| ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV120 )
| ( meet @ SV27 @ SV81 @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(318,plain,
! [SV82: $i,SV28: $i] :
( ( ( ~ ( closed @ SV28 ) )
= $true )
| ( ( ~ ( end_point @ SV82 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(319,plain,
! [SV30: $i] :
( ( ( open @ SV30 )
= $false )
| ( ( end_point @ ( ax0_sk7 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(320,plain,
! [SV83: $i,SV31: $i] :
( ( ( ~ ( end_point @ SV31 @ SV83 ) )
= $true )
| ( ( open @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(321,plain,
! [SV84: $i,SV32: $i] :
( ( ( ~ ( part_of @ SV32 @ SV84 ) )
= $true )
| ( ( ( SV32 = SV84 )
| ( open @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(322,plain,
! [SV121: $i,SV85: $i,SV33: $i] :
( ( ! [SY297: $i,SY298: $i] :
( ~ ( part_of @ SV33 @ SV85 )
| ~ ( part_of @ SV121 @ SV85 )
| ~ ( part_of @ SY297 @ SV85 )
| ~ ( end_point @ SY298 @ SV33 )
| ~ ( end_point @ SY298 @ SV121 )
| ~ ( end_point @ SY298 @ SY297 )
| ( part_of @ SV121 @ SY297 )
| ( part_of @ SY297 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SY297 )
| ( part_of @ SY297 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(323,plain,
! [SV86: $i,SV35: $i] :
( ( ( ~ ( inner_point @ SV35 @ SV86 ) )
= $true )
| ( ( meet @ SV35 @ ( ax0_sk9 @ SV35 @ SV86 ) @ ( ax0_sk10 @ SV35 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(324,plain,
! [SV87: $i,SV36: $i] :
( ( ( ~ ( inner_point @ SV36 @ SV87 ) )
= $true )
| ( ( SV87
= ( sum @ ( ax0_sk9 @ SV36 @ SV87 ) @ ( ax0_sk10 @ SV36 @ SV87 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(325,plain,
! [SV122: $i,SV88: $i,SV37: $i] :
( ( ! [SY299: $i] :
( ~ ( end_point @ SV37 @ SV88 )
| ~ ( end_point @ SV122 @ SV88 )
| ~ ( end_point @ SY299 @ SV88 )
| ( SV37 = SV122 )
| ( SV37 = SY299 )
| ( SV122 = SY299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(326,plain,
! [SV89: $i,SV38: $i] :
( ( ( ~ ( end_point @ SV38 @ SV89 ) )
= $true )
| ( ( end_point @ ( ax0_sk11 @ SV38 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(327,plain,
! [SV123: $i,SV90: $i,SV39: $i] :
( ( ~ ( meet @ SV39 @ SV90 @ SV123 )
| ( ( ax0_sk12 @ SV123 @ SV90 )
= ( sum @ SV90 @ SV123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(328,plain,
! [SV91: $i,SV40: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV40 @ SV91 ) @ SV91 )
= $true )
| ( ( ( incident_c @ ( ax0_sk13 @ SV40 @ SV91 ) @ SV40 )
| ( SV91 = SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(329,plain,
! [SV92: $i,SV41: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV41 @ SV92 ) @ SV92 )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk13 @ SV41 @ SV92 ) @ SV92 )
| ( SV92 = SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(330,plain,
! [SV93: $i,SV42: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV42 @ SV93 ) @ SV42 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk13 @ SV42 @ SV93 ) @ SV42 )
| ( SV93 = SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(331,plain,
! [SV94: $i,SV43: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV94 ) @ SV43 ) )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV94 ) @ SV94 )
| ( SV94 = SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(332,plain,
! [SV124: $i,SV95: $i,SV44: $i] :
( ( ! [SY300: $i] :
( ~ ( between_c @ SV44 @ SV95 @ SV124 @ SY300 )
| ( part_of @ ( ax1_sk1 @ SY300 @ SV124 @ SV95 @ SV44 ) @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(333,plain,
! [SV125: $i,SV96: $i,SV45: $i] :
( ( ! [SY301: $i] :
( ~ ( between_c @ SV45 @ SV96 @ SV125 @ SY301 )
| ( end_point @ SV96 @ ( ax1_sk1 @ SY301 @ SV125 @ SV96 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(334,plain,
! [SV126: $i,SV97: $i,SV46: $i] :
( ( ! [SY302: $i] :
( ~ ( between_c @ SV46 @ SV97 @ SV126 @ SY302 )
| ( end_point @ SY302 @ ( ax1_sk1 @ SY302 @ SV126 @ SV97 @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(335,plain,
! [SV127: $i,SV98: $i,SV47: $i] :
( ( ! [SY303: $i] :
( ~ ( between_c @ SV47 @ SV98 @ SV127 @ SY303 )
| ( inner_point @ SV127 @ ( ax1_sk1 @ SY303 @ SV127 @ SV98 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(336,plain,
! [SV128: $i,SV99: $i,SV48: $i] :
( ( ! [SY304: $i,SY305: $i] :
( ( SV48 = SV99 )
| ~ ( part_of @ SV128 @ SY304 )
| ~ ( end_point @ SV48 @ SV128 )
| ~ ( end_point @ SV99 @ SV128 )
| ~ ( inner_point @ SY305 @ SV128 )
| ( between_c @ SY304 @ SV48 @ SY305 @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(337,plain,
! [SV129: $i,SV100: $i,SV49: $i] :
( ( ! [SY306: $i] :
( ( SV49
!= ( sum @ SV100 @ SV129 ) )
| ~ ( incident_c @ SY306 @ SV100 )
| ( incident_c @ SY306 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(338,plain,
! [SV130: $i,SV101: $i,SV50: $i] :
( ( ! [SY307: $i] :
( ~ ( between_c @ SV50 @ SV101 @ SV130 @ SY307 )
| ( SV101 != SY307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(339,plain,
! [SV131: $i,SV102: $i,SV51: $i] :
( ( ! [SY308: $i,SY309: $i] :
( ~ ( closed @ SV51 )
| ~ ( meet @ SV102 @ SV131 @ SY308 )
| ( SV51
!= ( sum @ SV131 @ SY308 ) )
| ~ ( end_point @ SY309 @ SV131 )
| ( meet @ SY309 @ SV131 @ SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(340,plain,
! [SV132: $i,SV103: $i,SV52: $i] :
( ( ! [SY310: $i] :
( ( SV52
!= ( sum @ SV103 @ SV132 ) )
| ~ ( incident_c @ SY310 @ SV52 )
| ( incident_c @ SY310 @ SV103 )
| ( incident_c @ SY310 @ SV132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(341,plain,
! [SV133: $i,SV104: $i,SV53: $i] :
( ( ! [SY311: $i] :
( ( SV53
!= ( sum @ SV104 @ SV133 ) )
| ~ ( incident_c @ SY311 @ SV133 )
| ( incident_c @ SY311 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(342,plain,
! [SV105: $i,SV54: $i] :
( ( ( ~ ( end_point @ SV54 @ SV105 ) )
= $true )
| ( ( SV54
!= ( ax0_sk11 @ SV54 @ SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(343,plain,
( ( ( incident_c @ sk17 @ sk15 )
= $false )
| ( ( ~ ( incident_c @ sk18 @ sk15 )
| ( sk16 = sk17 )
| ( sk17 = sk18 )
| ( sk16 = sk18 ) )
= $true )
| ( ( incident_c @ sk16 @ sk15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(344,plain,
! [SV106: $i,SV55: $i,SV1: $i] :
( ( ( ~ ( part_of @ SV1 @ SV55 ) )
= $true )
| ( ( ~ ( incident_c @ SV106 @ SV1 )
| ( incident_c @ SV106 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(345,plain,
! [SV57: $i,SV3: $i] :
( ( ( incident_c @ ( ax0_sk1 @ SV3 @ SV57 ) @ SV57 )
= $false )
| ( ( part_of @ SV3 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(346,plain,
! [SV107: $i,SV58: $i,SV4: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV107 )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV58 )
| ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV4 )
| ( SV107
= ( sum @ SV58 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(347,plain,
! [SV108: $i,SV59: $i,SV5: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV5 @ SV59 @ SV108 ) @ SV108 )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV5 @ SV59 @ SV108 ) @ SV108 )
| ( SV108
= ( sum @ SV59 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(348,plain,
! [SV109: $i,SV60: $i,SV6: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV60 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV60 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV6 )
| ( SV109
= ( sum @ SV60 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(349,plain,
! [SV110: $i,SV61: $i,SV7: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV7 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV61 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV7 )
| ( SV110
= ( sum @ SV61 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(350,plain,
! [SV111: $i,SV62: $i,SV8: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SV111 ) @ SV62 ) )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SV111 ) @ SV111 )
| ( SV111
= ( sum @ SV62 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(351,plain,
! [SV112: $i,SV63: $i,SV9: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SV112 ) @ SV9 ) )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SV112 ) @ SV112 )
| ( SV112
= ( sum @ SV63 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(352,plain,
! [SV64: $i,SV10: $i] :
( ( ( end_point @ SV10 @ SV64 )
= $false )
| ( ( incident_c @ SV10 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(353,plain,
! [SV134: $i,SV113: $i,SV65: $i,SV11: $i] :
( ( ~ ( end_point @ SV11 @ SV65 )
| ~ ( part_of @ SV113 @ SV65 )
| ~ ( part_of @ SV134 @ SV65 )
| ~ ( incident_c @ SV11 @ SV113 )
| ~ ( incident_c @ SV11 @ SV134 )
| ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(354,plain,
! [SV66: $i,SV12: $i] :
( ( ( incident_c @ SV12 @ SV66 )
= $false )
| ( ( ( part_of @ ( ax0_sk3 @ SV66 @ SV12 ) @ SV66 )
| ( end_point @ SV12 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(355,plain,
! [SV67: $i,SV13: $i] :
( ( ( incident_c @ SV13 @ SV67 )
= $false )
| ( ( ( part_of @ ( ax0_sk4 @ SV67 @ SV13 ) @ SV67 )
| ( end_point @ SV13 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(356,plain,
! [SV68: $i,SV14: $i] :
( ( ( incident_c @ SV14 @ SV68 )
= $false )
| ( ( ( incident_c @ SV14 @ ( ax0_sk3 @ SV68 @ SV14 ) )
| ( end_point @ SV14 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(357,plain,
! [SV69: $i,SV15: $i] :
( ( ( incident_c @ SV15 @ SV69 )
= $false )
| ( ( ( incident_c @ SV15 @ ( ax0_sk4 @ SV69 @ SV15 ) )
| ( end_point @ SV15 @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(358,plain,
! [SV70: $i,SV16: $i] :
( ( ( incident_c @ SV16 @ SV70 )
= $false )
| ( ( ~ ( part_of @ ( ax0_sk3 @ SV70 @ SV16 ) @ ( ax0_sk4 @ SV70 @ SV16 ) )
| ( end_point @ SV16 @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(359,plain,
! [SV71: $i,SV17: $i] :
( ( ( incident_c @ SV17 @ SV71 )
= $false )
| ( ( ~ ( part_of @ ( ax0_sk4 @ SV71 @ SV17 ) @ ( ax0_sk3 @ SV71 @ SV17 ) )
| ( end_point @ SV17 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(360,plain,
! [SV72: $i,SV18: $i] :
( ( ( inner_point @ SV18 @ SV72 )
= $false )
| ( ( incident_c @ SV18 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(361,plain,
! [SV73: $i,SV19: $i] :
( ( ( inner_point @ SV19 @ SV73 )
= $false )
| ( ( ~ ( end_point @ SV19 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(362,plain,
! [SV74: $i,SV20: $i] :
( ( ( incident_c @ SV20 @ SV74 )
= $false )
| ( ( ( end_point @ SV20 @ SV74 )
| ( inner_point @ SV20 @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(363,plain,
! [SV114: $i,SV75: $i,SV21: $i] :
( ( ( ~ ( meet @ SV21 @ SV75 @ SV114 ) )
= $true )
| ( ( incident_c @ SV21 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(364,plain,
! [SV115: $i,SV76: $i,SV22: $i] :
( ( ( ~ ( meet @ SV22 @ SV76 @ SV115 ) )
= $true )
| ( ( incident_c @ SV22 @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(365,plain,
! [SV135: $i,SV116: $i,SV77: $i,SV23: $i] :
( ( ~ ( meet @ SV23 @ SV77 @ SV116 )
| ~ ( incident_c @ SV135 @ SV77 )
| ~ ( incident_c @ SV135 @ SV116 )
| ( end_point @ SV135 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(366,plain,
! [SV136: $i,SV117: $i,SV78: $i,SV24: $i] :
( ( ~ ( meet @ SV24 @ SV78 @ SV117 )
| ~ ( incident_c @ SV136 @ SV78 )
| ~ ( incident_c @ SV136 @ SV117 )
| ( end_point @ SV136 @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(367,plain,
! [SV118: $i,SV79: $i,SV25: $i] :
( ( ( ~ ( incident_c @ SV25 @ SV79 ) )
= $true )
| ( ( ~ ( incident_c @ SV25 @ SV118 )
| ( incident_c @ ( ax0_sk5 @ SV118 @ SV79 @ SV25 ) @ SV79 )
| ( meet @ SV25 @ SV79 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(368,plain,
! [SV119: $i,SV80: $i,SV26: $i] :
( ( ( ~ ( incident_c @ SV26 @ SV80 ) )
= $true )
| ( ( ~ ( incident_c @ SV26 @ SV119 )
| ( incident_c @ ( ax0_sk5 @ SV119 @ SV80 @ SV26 ) @ SV119 )
| ( meet @ SV26 @ SV80 @ SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(369,plain,
! [SV120: $i,SV81: $i,SV27: $i] :
( ( ( ~ ( incident_c @ SV27 @ SV81 ) )
= $true )
| ( ( ~ ( incident_c @ SV27 @ SV120 )
| ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV81 )
| ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV120 )
| ( meet @ SV27 @ SV81 @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(370,plain,
! [SV82: $i,SV28: $i] :
( ( ( closed @ SV28 )
= $false )
| ( ( ~ ( end_point @ SV82 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(371,plain,
! [SV83: $i,SV31: $i] :
( ( ( end_point @ SV31 @ SV83 )
= $false )
| ( ( open @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(372,plain,
! [SV84: $i,SV32: $i] :
( ( ( part_of @ SV32 @ SV84 )
= $false )
| ( ( ( SV32 = SV84 )
| ( open @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(373,plain,
! [SV137: $i,SV121: $i,SV85: $i,SV33: $i] :
( ( ! [SY312: $i] :
( ~ ( part_of @ SV33 @ SV85 )
| ~ ( part_of @ SV121 @ SV85 )
| ~ ( part_of @ SV137 @ SV85 )
| ~ ( end_point @ SY312 @ SV33 )
| ~ ( end_point @ SY312 @ SV121 )
| ~ ( end_point @ SY312 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(374,plain,
! [SV86: $i,SV35: $i] :
( ( ( inner_point @ SV35 @ SV86 )
= $false )
| ( ( meet @ SV35 @ ( ax0_sk9 @ SV35 @ SV86 ) @ ( ax0_sk10 @ SV35 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(375,plain,
! [SV87: $i,SV36: $i] :
( ( ( inner_point @ SV36 @ SV87 )
= $false )
| ( ( SV87
= ( sum @ ( ax0_sk9 @ SV36 @ SV87 ) @ ( ax0_sk10 @ SV36 @ SV87 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(376,plain,
! [SV138: $i,SV122: $i,SV88: $i,SV37: $i] :
( ( ~ ( end_point @ SV37 @ SV88 )
| ~ ( end_point @ SV122 @ SV88 )
| ~ ( end_point @ SV138 @ SV88 )
| ( SV37 = SV122 )
| ( SV37 = SV138 )
| ( SV122 = SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(377,plain,
! [SV89: $i,SV38: $i] :
( ( ( end_point @ SV38 @ SV89 )
= $false )
| ( ( end_point @ ( ax0_sk11 @ SV38 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(378,plain,
! [SV123: $i,SV90: $i,SV39: $i] :
( ( ( ~ ( meet @ SV39 @ SV90 @ SV123 ) )
= $true )
| ( ( ( ax0_sk12 @ SV123 @ SV90 )
= ( sum @ SV90 @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(379,plain,
! [SV91: $i,SV40: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV40 @ SV91 ) @ SV40 )
= $true )
| ( ( SV91 = SV40 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV40 @ SV91 ) @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(380,plain,
! [SV92: $i,SV41: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV41 @ SV92 ) @ SV92 ) )
= $true )
| ( ( SV92 = SV41 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV41 @ SV92 ) @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(381,plain,
! [SV93: $i,SV42: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV42 @ SV93 ) @ SV42 )
= $false )
| ( ( ( incident_c @ ( ax0_sk13 @ SV42 @ SV93 ) @ SV42 )
| ( SV93 = SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(382,plain,
! [SV94: $i,SV43: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV43 @ SV94 ) @ SV43 )
= $false )
| ( ( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV94 ) @ SV94 )
| ( SV94 = SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(383,plain,
! [SV139: $i,SV124: $i,SV95: $i,SV44: $i] :
( ( ~ ( between_c @ SV44 @ SV95 @ SV124 @ SV139 )
| ( part_of @ ( ax1_sk1 @ SV139 @ SV124 @ SV95 @ SV44 ) @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(384,plain,
! [SV140: $i,SV125: $i,SV96: $i,SV45: $i] :
( ( ~ ( between_c @ SV45 @ SV96 @ SV125 @ SV140 )
| ( end_point @ SV96 @ ( ax1_sk1 @ SV140 @ SV125 @ SV96 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(385,plain,
! [SV141: $i,SV126: $i,SV97: $i,SV46: $i] :
( ( ~ ( between_c @ SV46 @ SV97 @ SV126 @ SV141 )
| ( end_point @ SV141 @ ( ax1_sk1 @ SV141 @ SV126 @ SV97 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(386,plain,
! [SV142: $i,SV127: $i,SV98: $i,SV47: $i] :
( ( ~ ( between_c @ SV47 @ SV98 @ SV127 @ SV142 )
| ( inner_point @ SV127 @ ( ax1_sk1 @ SV142 @ SV127 @ SV98 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(387,plain,
! [SV143: $i,SV128: $i,SV99: $i,SV48: $i] :
( ( ! [SY313: $i] :
( ( SV48 = SV99 )
| ~ ( part_of @ SV128 @ SV143 )
| ~ ( end_point @ SV48 @ SV128 )
| ~ ( end_point @ SV99 @ SV128 )
| ~ ( inner_point @ SY313 @ SV128 )
| ( between_c @ SV143 @ SV48 @ SY313 @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(388,plain,
! [SV144: $i,SV129: $i,SV100: $i,SV49: $i] :
( ( ( SV49
!= ( sum @ SV100 @ SV129 ) )
| ~ ( incident_c @ SV144 @ SV100 )
| ( incident_c @ SV144 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(389,plain,
! [SV145: $i,SV130: $i,SV101: $i,SV50: $i] :
( ( ~ ( between_c @ SV50 @ SV101 @ SV130 @ SV145 )
| ( SV101 != SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(390,plain,
! [SV146: $i,SV131: $i,SV102: $i,SV51: $i] :
( ( ! [SY314: $i] :
( ~ ( closed @ SV51 )
| ~ ( meet @ SV102 @ SV131 @ SV146 )
| ( SV51
!= ( sum @ SV131 @ SV146 ) )
| ~ ( end_point @ SY314 @ SV131 )
| ( meet @ SY314 @ SV131 @ SV146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(391,plain,
! [SV147: $i,SV132: $i,SV103: $i,SV52: $i] :
( ( ( SV52
!= ( sum @ SV103 @ SV132 ) )
| ~ ( incident_c @ SV147 @ SV52 )
| ( incident_c @ SV147 @ SV103 )
| ( incident_c @ SV147 @ SV132 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(392,plain,
! [SV148: $i,SV133: $i,SV104: $i,SV53: $i] :
( ( ( SV53
!= ( sum @ SV104 @ SV133 ) )
| ~ ( incident_c @ SV148 @ SV133 )
| ( incident_c @ SV148 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(393,plain,
! [SV105: $i,SV54: $i] :
( ( ( end_point @ SV54 @ SV105 )
= $false )
| ( ( SV54
!= ( ax0_sk11 @ SV54 @ SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(394,plain,
( ( ( ~ ( incident_c @ sk18 @ sk15 ) )
= $true )
| ( ( ( sk16 = sk17 )
| ( sk17 = sk18 )
| ( sk16 = sk18 ) )
= $true )
| ( ( incident_c @ sk17 @ sk15 )
= $false )
| ( ( incident_c @ sk16 @ sk15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(395,plain,
! [SV106: $i,SV55: $i,SV1: $i] :
( ( ( part_of @ SV1 @ SV55 )
= $false )
| ( ( ~ ( incident_c @ SV106 @ SV1 )
| ( incident_c @ SV106 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(396,plain,
! [SV107: $i,SV58: $i,SV4: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV58 )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV4 )
| ( SV107
= ( sum @ SV58 @ SV4 ) ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(397,plain,
! [SV108: $i,SV59: $i,SV5: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV5 @ SV59 @ SV108 ) @ SV108 ) )
= $true )
| ( ( SV108
= ( sum @ SV59 @ SV5 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV5 @ SV59 @ SV108 ) @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(398,plain,
! [SV109: $i,SV60: $i,SV6: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV60 )
= $false )
| ( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV60 )
| ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV6 )
| ( SV109
= ( sum @ SV60 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(399,plain,
! [SV110: $i,SV61: $i,SV7: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV7 )
= $false )
| ( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV61 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV7 )
| ( SV110
= ( sum @ SV61 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(400,plain,
! [SV111: $i,SV62: $i,SV8: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SV111 ) @ SV62 )
= $false )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SV111 ) @ SV111 )
| ( SV111
= ( sum @ SV62 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(401,plain,
! [SV112: $i,SV63: $i,SV9: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SV112 ) @ SV9 )
= $false )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SV112 ) @ SV112 )
| ( SV112
= ( sum @ SV63 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(402,plain,
! [SV134: $i,SV113: $i,SV65: $i,SV11: $i] :
( ( ( ~ ( end_point @ SV11 @ SV65 ) )
= $true )
| ( ( ~ ( part_of @ SV113 @ SV65 )
| ~ ( part_of @ SV134 @ SV65 )
| ~ ( incident_c @ SV11 @ SV113 )
| ~ ( incident_c @ SV11 @ SV134 )
| ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(403,plain,
! [SV12: $i,SV66: $i] :
( ( ( part_of @ ( ax0_sk3 @ SV66 @ SV12 ) @ SV66 )
= $true )
| ( ( end_point @ SV12 @ SV66 )
= $true )
| ( ( incident_c @ SV12 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(404,plain,
! [SV13: $i,SV67: $i] :
( ( ( part_of @ ( ax0_sk4 @ SV67 @ SV13 ) @ SV67 )
= $true )
| ( ( end_point @ SV13 @ SV67 )
= $true )
| ( ( incident_c @ SV13 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(405,plain,
! [SV68: $i,SV14: $i] :
( ( ( incident_c @ SV14 @ ( ax0_sk3 @ SV68 @ SV14 ) )
= $true )
| ( ( end_point @ SV14 @ SV68 )
= $true )
| ( ( incident_c @ SV14 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(406,plain,
! [SV69: $i,SV15: $i] :
( ( ( incident_c @ SV15 @ ( ax0_sk4 @ SV69 @ SV15 ) )
= $true )
| ( ( end_point @ SV15 @ SV69 )
= $true )
| ( ( incident_c @ SV15 @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(407,plain,
! [SV16: $i,SV70: $i] :
( ( ( ~ ( part_of @ ( ax0_sk3 @ SV70 @ SV16 ) @ ( ax0_sk4 @ SV70 @ SV16 ) ) )
= $true )
| ( ( end_point @ SV16 @ SV70 )
= $true )
| ( ( incident_c @ SV16 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(408,plain,
! [SV17: $i,SV71: $i] :
( ( ( ~ ( part_of @ ( ax0_sk4 @ SV71 @ SV17 ) @ ( ax0_sk3 @ SV71 @ SV17 ) ) )
= $true )
| ( ( end_point @ SV17 @ SV71 )
= $true )
| ( ( incident_c @ SV17 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(409,plain,
! [SV73: $i,SV19: $i] :
( ( ( end_point @ SV19 @ SV73 )
= $false )
| ( ( inner_point @ SV19 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(410,plain,
! [SV74: $i,SV20: $i] :
( ( ( end_point @ SV20 @ SV74 )
= $true )
| ( ( inner_point @ SV20 @ SV74 )
= $true )
| ( ( incident_c @ SV20 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(411,plain,
! [SV114: $i,SV75: $i,SV21: $i] :
( ( ( meet @ SV21 @ SV75 @ SV114 )
= $false )
| ( ( incident_c @ SV21 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(412,plain,
! [SV115: $i,SV76: $i,SV22: $i] :
( ( ( meet @ SV22 @ SV76 @ SV115 )
= $false )
| ( ( incident_c @ SV22 @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(413,plain,
! [SV135: $i,SV116: $i,SV77: $i,SV23: $i] :
( ( ( ~ ( meet @ SV23 @ SV77 @ SV116 ) )
= $true )
| ( ( ~ ( incident_c @ SV135 @ SV77 )
| ~ ( incident_c @ SV135 @ SV116 )
| ( end_point @ SV135 @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(414,plain,
! [SV136: $i,SV117: $i,SV78: $i,SV24: $i] :
( ( ( ~ ( meet @ SV24 @ SV78 @ SV117 ) )
= $true )
| ( ( ~ ( incident_c @ SV136 @ SV78 )
| ~ ( incident_c @ SV136 @ SV117 )
| ( end_point @ SV136 @ SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(415,plain,
! [SV118: $i,SV79: $i,SV25: $i] :
( ( ( incident_c @ SV25 @ SV79 )
= $false )
| ( ( ~ ( incident_c @ SV25 @ SV118 )
| ( incident_c @ ( ax0_sk5 @ SV118 @ SV79 @ SV25 ) @ SV79 )
| ( meet @ SV25 @ SV79 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(416,plain,
! [SV119: $i,SV80: $i,SV26: $i] :
( ( ( incident_c @ SV26 @ SV80 )
= $false )
| ( ( ~ ( incident_c @ SV26 @ SV119 )
| ( incident_c @ ( ax0_sk5 @ SV119 @ SV80 @ SV26 ) @ SV119 )
| ( meet @ SV26 @ SV80 @ SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(417,plain,
! [SV120: $i,SV81: $i,SV27: $i] :
( ( ( incident_c @ SV27 @ SV81 )
= $false )
| ( ( ~ ( incident_c @ SV27 @ SV120 )
| ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV81 )
| ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV120 )
| ( meet @ SV27 @ SV81 @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(418,plain,
! [SV28: $i,SV82: $i] :
( ( ( end_point @ SV82 @ SV28 )
= $false )
| ( ( closed @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(419,plain,
! [SV84: $i,SV32: $i] :
( ( ( SV32 = SV84 )
= $true )
| ( ( open @ SV32 )
= $true )
| ( ( part_of @ SV32 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(420,plain,
! [SV149: $i,SV137: $i,SV121: $i,SV85: $i,SV33: $i] :
( ( ~ ( part_of @ SV33 @ SV85 )
| ~ ( part_of @ SV121 @ SV85 )
| ~ ( part_of @ SV137 @ SV85 )
| ~ ( end_point @ SV149 @ SV33 )
| ~ ( end_point @ SV149 @ SV121 )
| ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(421,plain,
! [SV138: $i,SV122: $i,SV88: $i,SV37: $i] :
( ( ( ~ ( end_point @ SV37 @ SV88 ) )
= $true )
| ( ( ~ ( end_point @ SV122 @ SV88 )
| ~ ( end_point @ SV138 @ SV88 )
| ( SV37 = SV122 )
| ( SV37 = SV138 )
| ( SV122 = SV138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(422,plain,
! [SV123: $i,SV90: $i,SV39: $i] :
( ( ( meet @ SV39 @ SV90 @ SV123 )
= $false )
| ( ( ( ax0_sk12 @ SV123 @ SV90 )
= ( sum @ SV90 @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(423,plain,
! [SV92: $i,SV41: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV41 @ SV92 ) @ SV92 )
= $false )
| ( ( SV92 = SV41 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV41 @ SV92 ) @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(424,plain,
! [SV93: $i,SV42: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV42 @ SV93 ) @ SV42 )
= $true )
| ( ( SV93 = SV42 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV42 @ SV93 ) @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(425,plain,
! [SV94: $i,SV43: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV43 @ SV94 ) @ SV94 ) )
= $true )
| ( ( SV94 = SV43 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV43 @ SV94 ) @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(426,plain,
! [SV139: $i,SV124: $i,SV95: $i,SV44: $i] :
( ( ( ~ ( between_c @ SV44 @ SV95 @ SV124 @ SV139 ) )
= $true )
| ( ( part_of @ ( ax1_sk1 @ SV139 @ SV124 @ SV95 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(427,plain,
! [SV140: $i,SV125: $i,SV96: $i,SV45: $i] :
( ( ( ~ ( between_c @ SV45 @ SV96 @ SV125 @ SV140 ) )
= $true )
| ( ( end_point @ SV96 @ ( ax1_sk1 @ SV140 @ SV125 @ SV96 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(428,plain,
! [SV141: $i,SV126: $i,SV97: $i,SV46: $i] :
( ( ( ~ ( between_c @ SV46 @ SV97 @ SV126 @ SV141 ) )
= $true )
| ( ( end_point @ SV141 @ ( ax1_sk1 @ SV141 @ SV126 @ SV97 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(429,plain,
! [SV142: $i,SV127: $i,SV98: $i,SV47: $i] :
( ( ( ~ ( between_c @ SV47 @ SV98 @ SV127 @ SV142 ) )
= $true )
| ( ( inner_point @ SV127 @ ( ax1_sk1 @ SV142 @ SV127 @ SV98 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(430,plain,
! [SV150: $i,SV143: $i,SV128: $i,SV99: $i,SV48: $i] :
( ( ( SV48 = SV99 )
| ~ ( part_of @ SV128 @ SV143 )
| ~ ( end_point @ SV48 @ SV128 )
| ~ ( end_point @ SV99 @ SV128 )
| ~ ( inner_point @ SV150 @ SV128 )
| ( between_c @ SV143 @ SV48 @ SV150 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(431,plain,
! [SV144: $i,SV129: $i,SV100: $i,SV49: $i] :
( ( ( SV49
!= ( sum @ SV100 @ SV129 ) )
= $true )
| ( ( ~ ( incident_c @ SV144 @ SV100 )
| ( incident_c @ SV144 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(432,plain,
! [SV145: $i,SV130: $i,SV101: $i,SV50: $i] :
( ( ( ~ ( between_c @ SV50 @ SV101 @ SV130 @ SV145 ) )
= $true )
| ( ( SV101 != SV145 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(433,plain,
! [SV151: $i,SV146: $i,SV131: $i,SV102: $i,SV51: $i] :
( ( ~ ( closed @ SV51 )
| ~ ( meet @ SV102 @ SV131 @ SV146 )
| ( SV51
!= ( sum @ SV131 @ SV146 ) )
| ~ ( end_point @ SV151 @ SV131 )
| ( meet @ SV151 @ SV131 @ SV146 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(434,plain,
! [SV147: $i,SV132: $i,SV103: $i,SV52: $i] :
( ( ( SV52
!= ( sum @ SV103 @ SV132 ) )
= $true )
| ( ( ~ ( incident_c @ SV147 @ SV52 )
| ( incident_c @ SV147 @ SV103 )
| ( incident_c @ SV147 @ SV132 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(435,plain,
! [SV148: $i,SV133: $i,SV104: $i,SV53: $i] :
( ( ( SV53
!= ( sum @ SV104 @ SV133 ) )
= $true )
| ( ( ~ ( incident_c @ SV148 @ SV133 )
| ( incident_c @ SV148 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(436,plain,
! [SV105: $i,SV54: $i] :
( ( ( SV54
= ( ax0_sk11 @ SV54 @ SV105 ) )
= $false )
| ( ( end_point @ SV54 @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(437,plain,
( ( ( incident_c @ sk18 @ sk15 )
= $false )
| ( ( ( sk16 = sk17 )
| ( sk17 = sk18 )
| ( sk16 = sk18 ) )
= $true )
| ( ( incident_c @ sk17 @ sk15 )
= $false )
| ( ( incident_c @ sk16 @ sk15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(438,plain,
! [SV55: $i,SV1: $i,SV106: $i] :
( ( ( ~ ( incident_c @ SV106 @ SV1 ) )
= $true )
| ( ( incident_c @ SV106 @ SV55 )
= $true )
| ( ( part_of @ SV1 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(439,plain,
! [SV107: $i,SV58: $i,SV4: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV4 )
= $true )
| ( ( SV107
= ( sum @ SV58 @ SV4 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV58 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV4 @ SV58 @ SV107 ) @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(440,plain,
! [SV108: $i,SV59: $i,SV5: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV5 @ SV59 @ SV108 ) @ SV108 )
= $false )
| ( ( SV108
= ( sum @ SV59 @ SV5 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV5 @ SV59 @ SV108 ) @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(441,plain,
! [SV109: $i,SV60: $i,SV6: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV60 )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV6 )
| ( SV109
= ( sum @ SV60 @ SV6 ) ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(442,plain,
! [SV110: $i,SV61: $i,SV7: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV61 )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV7 )
| ( SV110
= ( sum @ SV61 @ SV7 ) ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(443,plain,
! [SV111: $i,SV62: $i,SV8: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SV111 ) @ SV111 ) )
= $true )
| ( ( SV111
= ( sum @ SV62 @ SV8 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SV111 ) @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(444,plain,
! [SV112: $i,SV63: $i,SV9: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SV112 ) @ SV112 ) )
= $true )
| ( ( SV112
= ( sum @ SV63 @ SV9 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SV112 ) @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(445,plain,
! [SV134: $i,SV113: $i,SV65: $i,SV11: $i] :
( ( ( end_point @ SV11 @ SV65 )
= $false )
| ( ( ~ ( part_of @ SV113 @ SV65 )
| ~ ( part_of @ SV134 @ SV65 )
| ~ ( incident_c @ SV11 @ SV113 )
| ~ ( incident_c @ SV11 @ SV134 )
| ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(446,plain,
! [SV16: $i,SV70: $i] :
( ( ( part_of @ ( ax0_sk3 @ SV70 @ SV16 ) @ ( ax0_sk4 @ SV70 @ SV16 ) )
= $false )
| ( ( end_point @ SV16 @ SV70 )
= $true )
| ( ( incident_c @ SV16 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(447,plain,
! [SV17: $i,SV71: $i] :
( ( ( part_of @ ( ax0_sk4 @ SV71 @ SV17 ) @ ( ax0_sk3 @ SV71 @ SV17 ) )
= $false )
| ( ( end_point @ SV17 @ SV71 )
= $true )
| ( ( incident_c @ SV17 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(448,plain,
! [SV135: $i,SV116: $i,SV77: $i,SV23: $i] :
( ( ( meet @ SV23 @ SV77 @ SV116 )
= $false )
| ( ( ~ ( incident_c @ SV135 @ SV77 )
| ~ ( incident_c @ SV135 @ SV116 )
| ( end_point @ SV135 @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(449,plain,
! [SV136: $i,SV117: $i,SV78: $i,SV24: $i] :
( ( ( meet @ SV24 @ SV78 @ SV117 )
= $false )
| ( ( ~ ( incident_c @ SV136 @ SV78 )
| ~ ( incident_c @ SV136 @ SV117 )
| ( end_point @ SV136 @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(450,plain,
! [SV79: $i,SV118: $i,SV25: $i] :
( ( ( ~ ( incident_c @ SV25 @ SV118 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk5 @ SV118 @ SV79 @ SV25 ) @ SV79 )
| ( meet @ SV25 @ SV79 @ SV118 ) )
= $true )
| ( ( incident_c @ SV25 @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(451,plain,
! [SV80: $i,SV119: $i,SV26: $i] :
( ( ( ~ ( incident_c @ SV26 @ SV119 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk5 @ SV119 @ SV80 @ SV26 ) @ SV119 )
| ( meet @ SV26 @ SV80 @ SV119 ) )
= $true )
| ( ( incident_c @ SV26 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(452,plain,
! [SV81: $i,SV120: $i,SV27: $i] :
( ( ( ~ ( incident_c @ SV27 @ SV120 ) )
= $true )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV81 )
| ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV120 )
| ( meet @ SV27 @ SV81 @ SV120 ) )
= $true )
| ( ( incident_c @ SV27 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(453,plain,
! [SV149: $i,SV137: $i,SV121: $i,SV85: $i,SV33: $i] :
( ( ( ~ ( part_of @ SV33 @ SV85 ) )
= $true )
| ( ( ~ ( part_of @ SV121 @ SV85 )
| ~ ( part_of @ SV137 @ SV85 )
| ~ ( end_point @ SV149 @ SV33 )
| ~ ( end_point @ SV149 @ SV121 )
| ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(454,plain,
! [SV138: $i,SV122: $i,SV88: $i,SV37: $i] :
( ( ( end_point @ SV37 @ SV88 )
= $false )
| ( ( ~ ( end_point @ SV122 @ SV88 )
| ~ ( end_point @ SV138 @ SV88 )
| ( SV37 = SV122 )
| ( SV37 = SV138 )
| ( SV122 = SV138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(455,plain,
! [SV94: $i,SV43: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV43 @ SV94 ) @ SV94 )
= $false )
| ( ( SV94 = SV43 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV43 @ SV94 ) @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(456,plain,
! [SV139: $i,SV124: $i,SV95: $i,SV44: $i] :
( ( ( between_c @ SV44 @ SV95 @ SV124 @ SV139 )
= $false )
| ( ( part_of @ ( ax1_sk1 @ SV139 @ SV124 @ SV95 @ SV44 ) @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(457,plain,
! [SV140: $i,SV125: $i,SV96: $i,SV45: $i] :
( ( ( between_c @ SV45 @ SV96 @ SV125 @ SV140 )
= $false )
| ( ( end_point @ SV96 @ ( ax1_sk1 @ SV140 @ SV125 @ SV96 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(458,plain,
! [SV141: $i,SV126: $i,SV97: $i,SV46: $i] :
( ( ( between_c @ SV46 @ SV97 @ SV126 @ SV141 )
= $false )
| ( ( end_point @ SV141 @ ( ax1_sk1 @ SV141 @ SV126 @ SV97 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(459,plain,
! [SV142: $i,SV127: $i,SV98: $i,SV47: $i] :
( ( ( between_c @ SV47 @ SV98 @ SV127 @ SV142 )
= $false )
| ( ( inner_point @ SV127 @ ( ax1_sk1 @ SV142 @ SV127 @ SV98 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(460,plain,
! [SV150: $i,SV143: $i,SV128: $i,SV99: $i,SV48: $i] :
( ( ( SV48 = SV99 )
= $true )
| ( ( ~ ( part_of @ SV128 @ SV143 )
| ~ ( end_point @ SV48 @ SV128 )
| ~ ( end_point @ SV99 @ SV128 )
| ~ ( inner_point @ SV150 @ SV128 )
| ( between_c @ SV143 @ SV48 @ SV150 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(461,plain,
! [SV144: $i,SV129: $i,SV100: $i,SV49: $i] :
( ( ( SV49
= ( sum @ SV100 @ SV129 ) )
= $false )
| ( ( ~ ( incident_c @ SV144 @ SV100 )
| ( incident_c @ SV144 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(462,plain,
! [SV145: $i,SV130: $i,SV101: $i,SV50: $i] :
( ( ( between_c @ SV50 @ SV101 @ SV130 @ SV145 )
= $false )
| ( ( SV101 != SV145 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(463,plain,
! [SV151: $i,SV146: $i,SV131: $i,SV102: $i,SV51: $i] :
( ( ( ~ ( closed @ SV51 ) )
= $true )
| ( ( ~ ( meet @ SV102 @ SV131 @ SV146 )
| ( SV51
!= ( sum @ SV131 @ SV146 ) )
| ~ ( end_point @ SV151 @ SV131 )
| ( meet @ SV151 @ SV131 @ SV146 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(464,plain,
! [SV147: $i,SV132: $i,SV103: $i,SV52: $i] :
( ( ( SV52
= ( sum @ SV103 @ SV132 ) )
= $false )
| ( ( ~ ( incident_c @ SV147 @ SV52 )
| ( incident_c @ SV147 @ SV103 )
| ( incident_c @ SV147 @ SV132 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(465,plain,
! [SV148: $i,SV133: $i,SV104: $i,SV53: $i] :
( ( ( SV53
= ( sum @ SV104 @ SV133 ) )
= $false )
| ( ( ~ ( incident_c @ SV148 @ SV133 )
| ( incident_c @ SV148 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(466,plain,
( ( ( sk16 = sk17 )
= $true )
| ( ( ( sk17 = sk18 )
| ( sk16 = sk18 ) )
= $true )
| ( ( incident_c @ sk18 @ sk15 )
= $false )
| ( ( incident_c @ sk17 @ sk15 )
= $false )
| ( ( incident_c @ sk16 @ sk15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(467,plain,
! [SV55: $i,SV1: $i,SV106: $i] :
( ( ( incident_c @ SV106 @ SV1 )
= $false )
| ( ( incident_c @ SV106 @ SV55 )
= $true )
| ( ( part_of @ SV1 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(468,plain,
! [SV109: $i,SV60: $i,SV6: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV6 )
= $true )
| ( ( SV109
= ( sum @ SV60 @ SV6 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV60 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV6 @ SV60 @ SV109 ) @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(469,plain,
! [SV110: $i,SV61: $i,SV7: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV7 )
= $true )
| ( ( SV110
= ( sum @ SV61 @ SV7 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV61 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV61 @ SV110 ) @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(470,plain,
! [SV111: $i,SV62: $i,SV8: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SV111 ) @ SV111 )
= $false )
| ( ( SV111
= ( sum @ SV62 @ SV8 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV62 @ SV111 ) @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(471,plain,
! [SV112: $i,SV63: $i,SV9: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SV112 ) @ SV112 )
= $false )
| ( ( SV112
= ( sum @ SV63 @ SV9 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV63 @ SV112 ) @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(472,plain,
! [SV11: $i,SV134: $i,SV65: $i,SV113: $i] :
( ( ( ~ ( part_of @ SV113 @ SV65 ) )
= $true )
| ( ( ~ ( part_of @ SV134 @ SV65 )
| ~ ( incident_c @ SV11 @ SV113 )
| ~ ( incident_c @ SV11 @ SV134 )
| ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true )
| ( ( end_point @ SV11 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(473,plain,
! [SV23: $i,SV116: $i,SV77: $i,SV135: $i] :
( ( ( ~ ( incident_c @ SV135 @ SV77 ) )
= $true )
| ( ( ~ ( incident_c @ SV135 @ SV116 )
| ( end_point @ SV135 @ SV77 ) )
= $true )
| ( ( meet @ SV23 @ SV77 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(474,plain,
! [SV24: $i,SV117: $i,SV78: $i,SV136: $i] :
( ( ( ~ ( incident_c @ SV136 @ SV78 ) )
= $true )
| ( ( ~ ( incident_c @ SV136 @ SV117 )
| ( end_point @ SV136 @ SV117 ) )
= $true )
| ( ( meet @ SV24 @ SV78 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(475,plain,
! [SV79: $i,SV118: $i,SV25: $i] :
( ( ( incident_c @ SV25 @ SV118 )
= $false )
| ( ( ( incident_c @ ( ax0_sk5 @ SV118 @ SV79 @ SV25 ) @ SV79 )
| ( meet @ SV25 @ SV79 @ SV118 ) )
= $true )
| ( ( incident_c @ SV25 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(476,plain,
! [SV80: $i,SV119: $i,SV26: $i] :
( ( ( incident_c @ SV26 @ SV119 )
= $false )
| ( ( ( incident_c @ ( ax0_sk5 @ SV119 @ SV80 @ SV26 ) @ SV119 )
| ( meet @ SV26 @ SV80 @ SV119 ) )
= $true )
| ( ( incident_c @ SV26 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(477,plain,
! [SV81: $i,SV120: $i,SV27: $i] :
( ( ( incident_c @ SV27 @ SV120 )
= $false )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV81 )
| ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV120 )
| ( meet @ SV27 @ SV81 @ SV120 ) )
= $true )
| ( ( incident_c @ SV27 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(478,plain,
! [SV149: $i,SV137: $i,SV121: $i,SV85: $i,SV33: $i] :
( ( ( part_of @ SV33 @ SV85 )
= $false )
| ( ( ~ ( part_of @ SV121 @ SV85 )
| ~ ( part_of @ SV137 @ SV85 )
| ~ ( end_point @ SV149 @ SV33 )
| ~ ( end_point @ SV149 @ SV121 )
| ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(479,plain,
! [SV37: $i,SV138: $i,SV88: $i,SV122: $i] :
( ( ( ~ ( end_point @ SV122 @ SV88 ) )
= $true )
| ( ( ~ ( end_point @ SV138 @ SV88 )
| ( SV37 = SV122 )
| ( SV37 = SV138 )
| ( SV122 = SV138 ) )
= $true )
| ( ( end_point @ SV37 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(480,plain,
! [SV150: $i,SV99: $i,SV48: $i,SV143: $i,SV128: $i] :
( ( ( ~ ( part_of @ SV128 @ SV143 ) )
= $true )
| ( ( ~ ( end_point @ SV48 @ SV128 )
| ~ ( end_point @ SV99 @ SV128 )
| ~ ( inner_point @ SV150 @ SV128 )
| ( between_c @ SV143 @ SV48 @ SV150 @ SV99 ) )
= $true )
| ( ( SV48 = SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(481,plain,
! [SV129: $i,SV49: $i,SV100: $i,SV144: $i] :
( ( ( ~ ( incident_c @ SV144 @ SV100 ) )
= $true )
| ( ( incident_c @ SV144 @ SV49 )
= $true )
| ( ( SV49
= ( sum @ SV100 @ SV129 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(482,plain,
! [SV130: $i,SV50: $i,SV145: $i,SV101: $i] :
( ( ( SV101 = SV145 )
= $false )
| ( ( between_c @ SV50 @ SV101 @ SV130 @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(483,plain,
! [SV151: $i,SV146: $i,SV131: $i,SV102: $i,SV51: $i] :
( ( ( closed @ SV51 )
= $false )
| ( ( ~ ( meet @ SV102 @ SV131 @ SV146 )
| ( SV51
!= ( sum @ SV131 @ SV146 ) )
| ~ ( end_point @ SV151 @ SV131 )
| ( meet @ SV151 @ SV131 @ SV146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(484,plain,
! [SV132: $i,SV103: $i,SV52: $i,SV147: $i] :
( ( ( ~ ( incident_c @ SV147 @ SV52 ) )
= $true )
| ( ( ( incident_c @ SV147 @ SV103 )
| ( incident_c @ SV147 @ SV132 ) )
= $true )
| ( ( SV52
= ( sum @ SV103 @ SV132 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(485,plain,
! [SV104: $i,SV53: $i,SV133: $i,SV148: $i] :
( ( ( ~ ( incident_c @ SV148 @ SV133 ) )
= $true )
| ( ( incident_c @ SV148 @ SV53 )
= $true )
| ( ( SV53
= ( sum @ SV104 @ SV133 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(486,plain,
( ( ( sk17 = sk18 )
= $true )
| ( ( sk16 = sk18 )
= $true )
| ( ( sk16 = sk17 )
= $true )
| ( ( incident_c @ sk18 @ sk15 )
= $false )
| ( ( incident_c @ sk17 @ sk15 )
= $false )
| ( ( incident_c @ sk16 @ sk15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(487,plain,
! [SV11: $i,SV134: $i,SV65: $i,SV113: $i] :
( ( ( part_of @ SV113 @ SV65 )
= $false )
| ( ( ~ ( part_of @ SV134 @ SV65 )
| ~ ( incident_c @ SV11 @ SV113 )
| ~ ( incident_c @ SV11 @ SV134 )
| ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true )
| ( ( end_point @ SV11 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(488,plain,
! [SV23: $i,SV116: $i,SV77: $i,SV135: $i] :
( ( ( incident_c @ SV135 @ SV77 )
= $false )
| ( ( ~ ( incident_c @ SV135 @ SV116 )
| ( end_point @ SV135 @ SV77 ) )
= $true )
| ( ( meet @ SV23 @ SV77 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(489,plain,
! [SV24: $i,SV117: $i,SV78: $i,SV136: $i] :
( ( ( incident_c @ SV136 @ SV78 )
= $false )
| ( ( ~ ( incident_c @ SV136 @ SV117 )
| ( end_point @ SV136 @ SV117 ) )
= $true )
| ( ( meet @ SV24 @ SV78 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(490,plain,
! [SV25: $i,SV79: $i,SV118: $i] :
( ( ( incident_c @ ( ax0_sk5 @ SV118 @ SV79 @ SV25 ) @ SV79 )
= $true )
| ( ( meet @ SV25 @ SV79 @ SV118 )
= $true )
| ( ( incident_c @ SV25 @ SV118 )
= $false )
| ( ( incident_c @ SV25 @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(491,plain,
! [SV26: $i,SV80: $i,SV119: $i] :
( ( ( incident_c @ ( ax0_sk5 @ SV119 @ SV80 @ SV26 ) @ SV119 )
= $true )
| ( ( meet @ SV26 @ SV80 @ SV119 )
= $true )
| ( ( incident_c @ SV26 @ SV119 )
= $false )
| ( ( incident_c @ SV26 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(492,plain,
! [SV27: $i,SV81: $i,SV120: $i] :
( ( ( ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV81 ) )
= $true )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV120 )
| ( meet @ SV27 @ SV81 @ SV120 ) )
= $true )
| ( ( incident_c @ SV27 @ SV120 )
= $false )
| ( ( incident_c @ SV27 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(493,plain,
! [SV33: $i,SV149: $i,SV137: $i,SV85: $i,SV121: $i] :
( ( ( ~ ( part_of @ SV121 @ SV85 ) )
= $true )
| ( ( ~ ( part_of @ SV137 @ SV85 )
| ~ ( end_point @ SV149 @ SV33 )
| ~ ( end_point @ SV149 @ SV121 )
| ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(494,plain,
! [SV37: $i,SV138: $i,SV88: $i,SV122: $i] :
( ( ( end_point @ SV122 @ SV88 )
= $false )
| ( ( ~ ( end_point @ SV138 @ SV88 )
| ( SV37 = SV122 )
| ( SV37 = SV138 )
| ( SV122 = SV138 ) )
= $true )
| ( ( end_point @ SV37 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(495,plain,
! [SV150: $i,SV99: $i,SV48: $i,SV143: $i,SV128: $i] :
( ( ( part_of @ SV128 @ SV143 )
= $false )
| ( ( ~ ( end_point @ SV48 @ SV128 )
| ~ ( end_point @ SV99 @ SV128 )
| ~ ( inner_point @ SV150 @ SV128 )
| ( between_c @ SV143 @ SV48 @ SV150 @ SV99 ) )
= $true )
| ( ( SV48 = SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(496,plain,
! [SV129: $i,SV49: $i,SV100: $i,SV144: $i] :
( ( ( incident_c @ SV144 @ SV100 )
= $false )
| ( ( incident_c @ SV144 @ SV49 )
= $true )
| ( ( SV49
= ( sum @ SV100 @ SV129 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(497,plain,
! [SV151: $i,SV51: $i,SV146: $i,SV131: $i,SV102: $i] :
( ( ( ~ ( meet @ SV102 @ SV131 @ SV146 ) )
= $true )
| ( ( ( SV51
!= ( sum @ SV131 @ SV146 ) )
| ~ ( end_point @ SV151 @ SV131 )
| ( meet @ SV151 @ SV131 @ SV146 ) )
= $true )
| ( ( closed @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(498,plain,
! [SV132: $i,SV103: $i,SV52: $i,SV147: $i] :
( ( ( incident_c @ SV147 @ SV52 )
= $false )
| ( ( ( incident_c @ SV147 @ SV103 )
| ( incident_c @ SV147 @ SV132 ) )
= $true )
| ( ( SV52
= ( sum @ SV103 @ SV132 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(499,plain,
! [SV104: $i,SV53: $i,SV133: $i,SV148: $i] :
( ( ( incident_c @ SV148 @ SV133 )
= $false )
| ( ( incident_c @ SV148 @ SV53 )
= $true )
| ( ( SV53
= ( sum @ SV104 @ SV133 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(500,plain,
! [SV113: $i,SV11: $i,SV65: $i,SV134: $i] :
( ( ( ~ ( part_of @ SV134 @ SV65 ) )
= $true )
| ( ( ~ ( incident_c @ SV11 @ SV113 )
| ~ ( incident_c @ SV11 @ SV134 )
| ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true )
| ( ( part_of @ SV113 @ SV65 )
= $false )
| ( ( end_point @ SV11 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(501,plain,
! [SV23: $i,SV77: $i,SV116: $i,SV135: $i] :
( ( ( ~ ( incident_c @ SV135 @ SV116 ) )
= $true )
| ( ( end_point @ SV135 @ SV77 )
= $true )
| ( ( incident_c @ SV135 @ SV77 )
= $false )
| ( ( meet @ SV23 @ SV77 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(502,plain,
! [SV24: $i,SV78: $i,SV117: $i,SV136: $i] :
( ( ( ~ ( incident_c @ SV136 @ SV117 ) )
= $true )
| ( ( end_point @ SV136 @ SV117 )
= $true )
| ( ( incident_c @ SV136 @ SV78 )
= $false )
| ( ( meet @ SV24 @ SV78 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(503,plain,
! [SV27: $i,SV81: $i,SV120: $i] :
( ( ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV81 )
= $false )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV120 )
| ( meet @ SV27 @ SV81 @ SV120 ) )
= $true )
| ( ( incident_c @ SV27 @ SV120 )
= $false )
| ( ( incident_c @ SV27 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(504,plain,
! [SV33: $i,SV149: $i,SV137: $i,SV85: $i,SV121: $i] :
( ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( ~ ( part_of @ SV137 @ SV85 )
| ~ ( end_point @ SV149 @ SV33 )
| ~ ( end_point @ SV149 @ SV121 )
| ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(505,plain,
! [SV122: $i,SV37: $i,SV88: $i,SV138: $i] :
( ( ( ~ ( end_point @ SV138 @ SV88 ) )
= $true )
| ( ( ( SV37 = SV122 )
| ( SV37 = SV138 )
| ( SV122 = SV138 ) )
= $true )
| ( ( end_point @ SV122 @ SV88 )
= $false )
| ( ( end_point @ SV37 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(506,plain,
! [SV143: $i,SV150: $i,SV99: $i,SV128: $i,SV48: $i] :
( ( ( ~ ( end_point @ SV48 @ SV128 ) )
= $true )
| ( ( ~ ( end_point @ SV99 @ SV128 )
| ~ ( inner_point @ SV150 @ SV128 )
| ( between_c @ SV143 @ SV48 @ SV150 @ SV99 ) )
= $true )
| ( ( part_of @ SV128 @ SV143 )
= $false )
| ( ( SV48 = SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(507,plain,
! [SV151: $i,SV51: $i,SV146: $i,SV131: $i,SV102: $i] :
( ( ( meet @ SV102 @ SV131 @ SV146 )
= $false )
| ( ( ( SV51
!= ( sum @ SV131 @ SV146 ) )
| ~ ( end_point @ SV151 @ SV131 )
| ( meet @ SV151 @ SV131 @ SV146 ) )
= $true )
| ( ( closed @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(508,plain,
! [SV52: $i,SV132: $i,SV103: $i,SV147: $i] :
( ( ( incident_c @ SV147 @ SV103 )
= $true )
| ( ( incident_c @ SV147 @ SV132 )
= $true )
| ( ( incident_c @ SV147 @ SV52 )
= $false )
| ( ( SV52
= ( sum @ SV103 @ SV132 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(509,plain,
! [SV113: $i,SV11: $i,SV65: $i,SV134: $i] :
( ( ( part_of @ SV134 @ SV65 )
= $false )
| ( ( ~ ( incident_c @ SV11 @ SV113 )
| ~ ( incident_c @ SV11 @ SV134 )
| ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true )
| ( ( part_of @ SV113 @ SV65 )
= $false )
| ( ( end_point @ SV11 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(510,plain,
! [SV23: $i,SV77: $i,SV116: $i,SV135: $i] :
( ( ( incident_c @ SV135 @ SV116 )
= $false )
| ( ( end_point @ SV135 @ SV77 )
= $true )
| ( ( incident_c @ SV135 @ SV77 )
= $false )
| ( ( meet @ SV23 @ SV77 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(511,plain,
! [SV24: $i,SV78: $i,SV117: $i,SV136: $i] :
( ( ( incident_c @ SV136 @ SV117 )
= $false )
| ( ( end_point @ SV136 @ SV117 )
= $true )
| ( ( incident_c @ SV136 @ SV78 )
= $false )
| ( ( meet @ SV24 @ SV78 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(512,plain,
! [SV27: $i,SV81: $i,SV120: $i] :
( ( ( ~ ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV120 ) )
= $true )
| ( ( meet @ SV27 @ SV81 @ SV120 )
= $true )
| ( ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV81 )
= $false )
| ( ( incident_c @ SV27 @ SV120 )
= $false )
| ( ( incident_c @ SV27 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(513,plain,
! [SV121: $i,SV33: $i,SV149: $i,SV85: $i,SV137: $i] :
( ( ( ~ ( part_of @ SV137 @ SV85 ) )
= $true )
| ( ( ~ ( end_point @ SV149 @ SV33 )
| ~ ( end_point @ SV149 @ SV121 )
| ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(514,plain,
! [SV122: $i,SV37: $i,SV88: $i,SV138: $i] :
( ( ( end_point @ SV138 @ SV88 )
= $false )
| ( ( ( SV37 = SV122 )
| ( SV37 = SV138 )
| ( SV122 = SV138 ) )
= $true )
| ( ( end_point @ SV122 @ SV88 )
= $false )
| ( ( end_point @ SV37 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(515,plain,
! [SV143: $i,SV150: $i,SV99: $i,SV128: $i,SV48: $i] :
( ( ( end_point @ SV48 @ SV128 )
= $false )
| ( ( ~ ( end_point @ SV99 @ SV128 )
| ~ ( inner_point @ SV150 @ SV128 )
| ( between_c @ SV143 @ SV48 @ SV150 @ SV99 ) )
= $true )
| ( ( part_of @ SV128 @ SV143 )
= $false )
| ( ( SV48 = SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(516,plain,
! [SV102: $i,SV151: $i,SV146: $i,SV131: $i,SV51: $i] :
( ( ( SV51
!= ( sum @ SV131 @ SV146 ) )
= $true )
| ( ( ~ ( end_point @ SV151 @ SV131 )
| ( meet @ SV151 @ SV131 @ SV146 ) )
= $true )
| ( ( meet @ SV102 @ SV131 @ SV146 )
= $false )
| ( ( closed @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(517,plain,
! [SV65: $i,SV134: $i,SV113: $i,SV11: $i] :
( ( ( ~ ( incident_c @ SV11 @ SV113 ) )
= $true )
| ( ( ~ ( incident_c @ SV11 @ SV134 )
| ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true )
| ( ( part_of @ SV134 @ SV65 )
= $false )
| ( ( part_of @ SV113 @ SV65 )
= $false )
| ( ( end_point @ SV11 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(518,plain,
! [SV27: $i,SV81: $i,SV120: $i] :
( ( ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV120 )
= $false )
| ( ( meet @ SV27 @ SV81 @ SV120 )
= $true )
| ( ( end_point @ ( ax0_sk5 @ SV120 @ SV81 @ SV27 ) @ SV81 )
= $false )
| ( ( incident_c @ SV27 @ SV120 )
= $false )
| ( ( incident_c @ SV27 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(519,plain,
! [SV121: $i,SV33: $i,SV149: $i,SV85: $i,SV137: $i] :
( ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( ~ ( end_point @ SV149 @ SV33 )
| ~ ( end_point @ SV149 @ SV121 )
| ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(520,plain,
! [SV88: $i,SV138: $i,SV122: $i,SV37: $i] :
( ( ( SV37 = SV122 )
= $true )
| ( ( ( SV37 = SV138 )
| ( SV122 = SV138 ) )
= $true )
| ( ( end_point @ SV138 @ SV88 )
= $false )
| ( ( end_point @ SV122 @ SV88 )
= $false )
| ( ( end_point @ SV37 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(521,plain,
! [SV48: $i,SV143: $i,SV150: $i,SV128: $i,SV99: $i] :
( ( ( ~ ( end_point @ SV99 @ SV128 ) )
= $true )
| ( ( ~ ( inner_point @ SV150 @ SV128 )
| ( between_c @ SV143 @ SV48 @ SV150 @ SV99 ) )
= $true )
| ( ( end_point @ SV48 @ SV128 )
= $false )
| ( ( part_of @ SV128 @ SV143 )
= $false )
| ( ( SV48 = SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(522,plain,
! [SV102: $i,SV151: $i,SV146: $i,SV131: $i,SV51: $i] :
( ( ( SV51
= ( sum @ SV131 @ SV146 ) )
= $false )
| ( ( ~ ( end_point @ SV151 @ SV131 )
| ( meet @ SV151 @ SV131 @ SV146 ) )
= $true )
| ( ( meet @ SV102 @ SV131 @ SV146 )
= $false )
| ( ( closed @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(523,plain,
! [SV65: $i,SV134: $i,SV113: $i,SV11: $i] :
( ( ( incident_c @ SV11 @ SV113 )
= $false )
| ( ( ~ ( incident_c @ SV11 @ SV134 )
| ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true )
| ( ( part_of @ SV134 @ SV65 )
= $false )
| ( ( part_of @ SV113 @ SV65 )
= $false )
| ( ( end_point @ SV11 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(524,plain,
! [SV85: $i,SV137: $i,SV121: $i,SV33: $i,SV149: $i] :
( ( ( ~ ( end_point @ SV149 @ SV33 ) )
= $true )
| ( ( ~ ( end_point @ SV149 @ SV121 )
| ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(525,plain,
! [SV88: $i,SV122: $i,SV138: $i,SV37: $i] :
( ( ( SV37 = SV138 )
= $true )
| ( ( SV122 = SV138 )
= $true )
| ( ( SV37 = SV122 )
= $true )
| ( ( end_point @ SV138 @ SV88 )
= $false )
| ( ( end_point @ SV122 @ SV88 )
= $false )
| ( ( end_point @ SV37 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(526,plain,
! [SV48: $i,SV143: $i,SV150: $i,SV128: $i,SV99: $i] :
( ( ( end_point @ SV99 @ SV128 )
= $false )
| ( ( ~ ( inner_point @ SV150 @ SV128 )
| ( between_c @ SV143 @ SV48 @ SV150 @ SV99 ) )
= $true )
| ( ( end_point @ SV48 @ SV128 )
= $false )
| ( ( part_of @ SV128 @ SV143 )
= $false )
| ( ( SV48 = SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(527,plain,
! [SV102: $i,SV51: $i,SV146: $i,SV131: $i,SV151: $i] :
( ( ( ~ ( end_point @ SV151 @ SV131 ) )
= $true )
| ( ( meet @ SV151 @ SV131 @ SV146 )
= $true )
| ( ( SV51
= ( sum @ SV131 @ SV146 ) )
= $false )
| ( ( meet @ SV102 @ SV131 @ SV146 )
= $false )
| ( ( closed @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(528,plain,
! [SV65: $i,SV113: $i,SV134: $i,SV11: $i] :
( ( ( ~ ( incident_c @ SV11 @ SV134 ) )
= $true )
| ( ( ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true )
| ( ( incident_c @ SV11 @ SV113 )
= $false )
| ( ( part_of @ SV134 @ SV65 )
= $false )
| ( ( part_of @ SV113 @ SV65 )
= $false )
| ( ( end_point @ SV11 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(529,plain,
! [SV85: $i,SV137: $i,SV121: $i,SV33: $i,SV149: $i] :
( ( ( end_point @ SV149 @ SV33 )
= $false )
| ( ( ~ ( end_point @ SV149 @ SV121 )
| ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(530,plain,
! [SV99: $i,SV48: $i,SV143: $i,SV128: $i,SV150: $i] :
( ( ( ~ ( inner_point @ SV150 @ SV128 ) )
= $true )
| ( ( between_c @ SV143 @ SV48 @ SV150 @ SV99 )
= $true )
| ( ( end_point @ SV99 @ SV128 )
= $false )
| ( ( end_point @ SV48 @ SV128 )
= $false )
| ( ( part_of @ SV128 @ SV143 )
= $false )
| ( ( SV48 = SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(531,plain,
! [SV102: $i,SV51: $i,SV146: $i,SV131: $i,SV151: $i] :
( ( ( end_point @ SV151 @ SV131 )
= $false )
| ( ( meet @ SV151 @ SV131 @ SV146 )
= $true )
| ( ( SV51
= ( sum @ SV131 @ SV146 ) )
= $false )
| ( ( meet @ SV102 @ SV131 @ SV146 )
= $false )
| ( ( closed @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(532,plain,
! [SV65: $i,SV113: $i,SV134: $i,SV11: $i] :
( ( ( incident_c @ SV11 @ SV134 )
= $false )
| ( ( ( part_of @ SV113 @ SV134 )
| ( part_of @ SV134 @ SV113 ) )
= $true )
| ( ( incident_c @ SV11 @ SV113 )
= $false )
| ( ( part_of @ SV134 @ SV65 )
= $false )
| ( ( part_of @ SV113 @ SV65 )
= $false )
| ( ( end_point @ SV11 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(533,plain,
! [SV85: $i,SV33: $i,SV137: $i,SV121: $i,SV149: $i] :
( ( ( ~ ( end_point @ SV149 @ SV121 ) )
= $true )
| ( ( ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( end_point @ SV149 @ SV33 )
= $false )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(534,plain,
! [SV99: $i,SV48: $i,SV143: $i,SV128: $i,SV150: $i] :
( ( ( inner_point @ SV150 @ SV128 )
= $false )
| ( ( between_c @ SV143 @ SV48 @ SV150 @ SV99 )
= $true )
| ( ( end_point @ SV99 @ SV128 )
= $false )
| ( ( end_point @ SV48 @ SV128 )
= $false )
| ( ( part_of @ SV128 @ SV143 )
= $false )
| ( ( SV48 = SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(535,plain,
! [SV65: $i,SV11: $i,SV134: $i,SV113: $i] :
( ( ( part_of @ SV113 @ SV134 )
= $true )
| ( ( part_of @ SV134 @ SV113 )
= $true )
| ( ( incident_c @ SV11 @ SV134 )
= $false )
| ( ( incident_c @ SV11 @ SV113 )
= $false )
| ( ( part_of @ SV134 @ SV65 )
= $false )
| ( ( part_of @ SV113 @ SV65 )
= $false )
| ( ( end_point @ SV11 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(536,plain,
! [SV85: $i,SV33: $i,SV137: $i,SV121: $i,SV149: $i] :
( ( ( end_point @ SV149 @ SV121 )
= $false )
| ( ( ~ ( end_point @ SV149 @ SV137 )
| ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( end_point @ SV149 @ SV33 )
= $false )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(537,plain,
! [SV85: $i,SV33: $i,SV121: $i,SV137: $i,SV149: $i] :
( ( ( ~ ( end_point @ SV149 @ SV137 ) )
= $true )
| ( ( ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( end_point @ SV149 @ SV121 )
= $false )
| ( ( end_point @ SV149 @ SV33 )
= $false )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(538,plain,
! [SV85: $i,SV33: $i,SV121: $i,SV137: $i,SV149: $i] :
( ( ( end_point @ SV149 @ SV137 )
= $false )
| ( ( ( part_of @ SV121 @ SV137 )
| ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( end_point @ SV149 @ SV121 )
= $false )
| ( ( end_point @ SV149 @ SV33 )
= $false )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(539,plain,
! [SV85: $i,SV149: $i,SV33: $i,SV137: $i,SV121: $i] :
( ( ( part_of @ SV121 @ SV137 )
= $true )
| ( ( ( part_of @ SV137 @ SV121 )
| ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( end_point @ SV149 @ SV137 )
= $false )
| ( ( end_point @ SV149 @ SV121 )
= $false )
| ( ( end_point @ SV149 @ SV33 )
= $false )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(540,plain,
! [SV85: $i,SV149: $i,SV33: $i,SV121: $i,SV137: $i] :
( ( ( part_of @ SV137 @ SV121 )
= $true )
| ( ( ( part_of @ SV33 @ SV121 )
| ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( part_of @ SV121 @ SV137 )
= $true )
| ( ( end_point @ SV149 @ SV137 )
= $false )
| ( ( end_point @ SV149 @ SV121 )
= $false )
| ( ( end_point @ SV149 @ SV33 )
= $false )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(541,plain,
! [SV85: $i,SV149: $i,SV137: $i,SV121: $i,SV33: $i] :
( ( ( part_of @ SV33 @ SV121 )
= $true )
| ( ( ( part_of @ SV121 @ SV33 )
| ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( part_of @ SV137 @ SV121 )
= $true )
| ( ( part_of @ SV121 @ SV137 )
= $true )
| ( ( end_point @ SV149 @ SV137 )
= $false )
| ( ( end_point @ SV149 @ SV121 )
= $false )
| ( ( end_point @ SV149 @ SV33 )
= $false )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(542,plain,
! [SV85: $i,SV149: $i,SV137: $i,SV33: $i,SV121: $i] :
( ( ( part_of @ SV121 @ SV33 )
= $true )
| ( ( ( part_of @ SV33 @ SV137 )
| ( part_of @ SV137 @ SV33 ) )
= $true )
| ( ( part_of @ SV33 @ SV121 )
= $true )
| ( ( part_of @ SV137 @ SV121 )
= $true )
| ( ( part_of @ SV121 @ SV137 )
= $true )
| ( ( end_point @ SV149 @ SV137 )
= $false )
| ( ( end_point @ SV149 @ SV121 )
= $false )
| ( ( end_point @ SV149 @ SV33 )
= $false )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(543,plain,
! [SV85: $i,SV149: $i,SV121: $i,SV137: $i,SV33: $i] :
( ( ( part_of @ SV33 @ SV137 )
= $true )
| ( ( part_of @ SV137 @ SV33 )
= $true )
| ( ( part_of @ SV121 @ SV33 )
= $true )
| ( ( part_of @ SV33 @ SV121 )
= $true )
| ( ( part_of @ SV137 @ SV121 )
= $true )
| ( ( part_of @ SV121 @ SV137 )
= $true )
| ( ( end_point @ SV149 @ SV137 )
= $false )
| ( ( end_point @ SV149 @ SV121 )
= $false )
| ( ( end_point @ SV149 @ SV33 )
= $false )
| ( ( part_of @ SV137 @ SV85 )
= $false )
| ( ( part_of @ SV121 @ SV85 )
= $false )
| ( ( part_of @ SV33 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(544,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[117,543,535,534,531,525,518,511,510,508,499,496,491,490,486,482,471,470,469,468,467,459,458,457,456,455,447,446,440,439,436,424,423,422,419,418,412,411,410,409,406,405,404,403,379,377,375,374,371,360,352,345,319,292,265,229,214]) ).
thf(545,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO111-1 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n018.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 10:06:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.41/2.12
% 9.41/2.12 No.of.Axioms: 56
% 9.41/2.12
% 9.41/2.12 Length.of.Defs: 0
% 9.41/2.12
% 9.41/2.12 Contains.Choice.Funs: false
% 9.41/2.12 ...............
% 9.41/2.12
% 9.41/2.12 ********************************
% 9.41/2.12 * All subproblems solved! *
% 9.41/2.12 ********************************
% 9.41/2.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:56,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:544,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.41/2.12
% 9.41/2.12 %**** Beginning of derivation protocol ****
% 9.41/2.12 % SZS output start CNFRefutation
% See solution above
% 9.41/2.12
% 9.41/2.12 %**** End of derivation protocol ****
% 9.41/2.12 %**** no. of clauses in derivation: 545 ****
% 9.41/2.12 %**** clause counter: 544 ****
% 9.41/2.12
% 9.41/2.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:56,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:544,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------