TSTP Solution File: GEO094-1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GEO094-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:07:02 EDT 2022
% Result : Unsatisfiable 1.20s 1.44s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 78
% Syntax : Number of formulae : 525 ( 249 unt; 25 typ; 0 def)
% Number of atoms : 3553 (1079 equ; 0 cnn)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 6683 ( 705 ~;1353 |; 0 &;4625 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 6 con; 0-3 aty)
% Number of variables : 1409 ( 0 ^1409 !; 0 ?;1409 :)
% 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_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_sk14,type,
sk14: $i ).
thf(tp_sk15,type,
sk15: $i ).
thf(tp_sk16,type,
sk16: $i ).
thf(tp_sk17,type,
sk17: $i ).
thf(tp_sum,type,
sum: $i > $i > $i ).
thf(1,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(2,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(3,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(4,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(5,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(6,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(7,axiom,
! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( A
!= ( ax0_sk11 @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_42) ).
thf(8,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(9,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(10,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(11,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(12,axiom,
! [A: $i] : ( inner_point @ ( ax0_sk8 @ A ) @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3_37) ).
thf(13,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(14,axiom,
! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ( A = B )
| ( open @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1_35) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( open @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_34) ).
thf(16,axiom,
! [A: $i] :
( ~ ( open @ A )
| ( end_point @ ( ax0_sk7 @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_33) ).
thf(17,axiom,
! [A: $i] :
( ( end_point @ ( ax0_sk6 @ A ) @ A )
| ( closed @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closed_defn_32) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ~ ( closed @ A )
| ~ ( end_point @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closed_defn_31) ).
thf(19,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(20,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(21,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(22,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(23,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(24,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(25,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(26,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(27,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(28,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(29,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(30,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(31,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(32,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(33,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(34,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(35,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(36,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(37,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(38,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(39,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(40,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(41,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(42,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(43,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(44,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(45,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(46,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(47,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(48,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(49,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(50,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[49]) ).
thf(51,negated_conjecture,
end_point @ sk17 @ sk14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3_70) ).
thf(52,negated_conjecture,
part_of @ sk16 @ sk14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3_69) ).
thf(53,negated_conjecture,
part_of @ sk15 @ sk14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3_68) ).
thf(54,negated_conjecture,
meet @ sk17 @ sk15 @ sk16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3_67) ).
thf(55,plain,
$false = $false,
inference(unfold_def,[status(thm)],[50]) ).
thf(56,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)],[1]) ).
thf(57,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)],[2]) ).
thf(58,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)],[3]) ).
thf(59,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)],[4]) ).
thf(60,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( ( ax0_sk12 @ C @ B )
= ( sum @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(61,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)],[6]) ).
thf(62,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( A
!= ( ax0_sk11 @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(63,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( end_point @ ( ax0_sk11 @ A @ B ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(64,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)],[9]) ).
thf(65,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)],[10]) ).
thf(66,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)],[11]) ).
thf(67,plain,
( ( ! [A: $i] : ( inner_point @ ( ax0_sk8 @ A ) @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(68,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)],[13]) ).
thf(69,plain,
( ( ! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ( A = B )
| ( open @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( open @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(71,plain,
( ( ! [A: $i] :
( ~ ( open @ A )
| ( end_point @ ( ax0_sk7 @ A ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(72,plain,
( ( ! [A: $i] :
( ( end_point @ ( ax0_sk6 @ A ) @ A )
| ( closed @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ~ ( closed @ A )
| ~ ( end_point @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(74,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)],[19]) ).
thf(75,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)],[20]) ).
thf(76,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)],[21]) ).
thf(77,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)],[22]) ).
thf(78,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)],[23]) ).
thf(79,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(80,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( inner_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ~ ( end_point @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(83,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(84,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)],[29]) ).
thf(85,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)],[30]) ).
thf(86,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)],[31]) ).
thf(87,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)],[32]) ).
thf(88,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)],[33]) ).
thf(89,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)],[34]) ).
thf(90,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)],[35]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(92,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)],[37]) ).
thf(93,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)],[38]) ).
thf(94,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)],[39]) ).
thf(95,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)],[40]) ).
thf(96,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)],[41]) ).
thf(97,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)],[42]) ).
thf(98,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)],[43]) ).
thf(99,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)],[44]) ).
thf(100,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)],[45]) ).
thf(101,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ A @ B ) @ B )
| ( part_of @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(102,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk1 @ A @ B ) @ A )
| ( part_of @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(103,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)],[48]) ).
thf(104,plain,
( ( end_point @ sk17 @ sk14 )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(105,plain,
( ( part_of @ sk16 @ sk14 )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(106,plain,
( ( part_of @ sk15 @ sk14 )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(107,plain,
( ( meet @ sk17 @ sk15 @ sk16 )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(108,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[55]) ).
thf(109,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( B = A )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(110,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( B = A )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(111,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( closed @ A )
| ! [D: $i] :
( ~ ( meet @ B @ C @ D )
| ( A
!= ( sum @ C @ D ) )
| ! [E: $i] :
( ~ ( end_point @ E @ C )
| ( meet @ E @ C @ D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(112,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( A
!= ( ax0_sk11 @ A @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(113,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ! [C: $i] :
( ~ ( end_point @ C @ B )
| ! [D: $i] :
( ~ ( end_point @ D @ B )
| ( A = C )
| ( A = D )
| ( C = D ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(114,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( part_of @ A @ B )
| ~ ( part_of @ C @ B )
| ! [D: $i] :
( ~ ( part_of @ D @ B )
| ! [E: $i] :
( ~ ( 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(extcnf_combined,[status(esa)],[68]) ).
thf(115,plain,
( ( ! [A: $i] :
( ( closed @ A )
| ( end_point @ ( ax0_sk6 @ A ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(116,plain,
( ( ! [A: $i] :
( ~ ( closed @ A )
| ! [B: $i] :
~ ( end_point @ B @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(117,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ! [C: $i] :
( ~ ( 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(extcnf_combined,[status(esa)],[74]) ).
thf(118,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ! [C: $i] :
( ~ ( incident_c @ A @ C )
| ( incident_c @ ( ax0_sk5 @ C @ B @ A ) @ C )
| ( meet @ A @ B @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(119,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ! [C: $i] :
( ~ ( incident_c @ A @ C )
| ( incident_c @ ( ax0_sk5 @ C @ B @ A ) @ B )
| ( meet @ A @ B @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(120,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ! [D: $i] :
( ~ ( incident_c @ D @ B )
| ~ ( incident_c @ D @ C )
| ( end_point @ D @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(121,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ! [D: $i] :
( ~ ( incident_c @ D @ B )
| ~ ( incident_c @ D @ C )
| ( end_point @ D @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(122,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
~ ( meet @ A @ B @ C )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(123,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( incident_c @ A @ ( ax0_sk4 @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(124,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( incident_c @ A @ ( ax0_sk3 @ B @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(125,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( part_of @ ( ax0_sk4 @ B @ A ) @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(126,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( part_of @ ( ax0_sk3 @ B @ A ) @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(127,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ! [C: $i] :
( ~ ( part_of @ C @ B )
| ! [D: $i] :
( ~ ( part_of @ D @ B )
| ~ ( incident_c @ A @ C )
| ~ ( incident_c @ A @ D )
| ( part_of @ C @ D )
| ( part_of @ D @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
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 )
| ( C
= ( sum @ B @ A ) )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[94]) ).
thf(129,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( C
= ( sum @ B @ A ) )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(130,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( C
= ( sum @ B @ A ) )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[97]) ).
thf(131,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ! [D: $i] :
( ~ ( incident_c @ D @ C )
| ( incident_c @ D @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(132,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( A
!= ( sum @ B @ C ) )
| ! [D: $i] :
( ~ ( incident_c @ D @ B )
| ( incident_c @ D @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[99]) ).
thf(133,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ! [D: $i] :
( ~ ( incident_c @ D @ A )
| ( incident_c @ D @ B )
| ( incident_c @ D @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[100]) ).
thf(134,plain,
( ( ! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ! [C: $i] :
( ~ ( incident_c @ C @ A )
| ( incident_c @ C @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[103]) ).
thf(135,plain,
( ( meet @ sk17 @ sk15 @ sk16 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(136,plain,
( ( part_of @ sk15 @ sk14 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(137,plain,
( ( part_of @ sk16 @ sk14 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(138,plain,
( ( end_point @ sk17 @ sk14 )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(139,plain,
( ( ! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ! [C: $i] :
( ~ ( incident_c @ C @ A )
| ( incident_c @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(140,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk1 @ A @ B ) @ A )
| ( part_of @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(141,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ A @ B ) @ B )
| ( part_of @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(142,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ! [D: $i] :
( ~ ( incident_c @ D @ A )
| ( incident_c @ D @ B )
| ( incident_c @ D @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(143,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
( A
!= ( sum @ B @ C ) )
| ! [D: $i] :
( ~ ( incident_c @ D @ B )
| ( incident_c @ D @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(144,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A
!= ( sum @ B @ C ) )
| ! [D: $i] :
( ~ ( incident_c @ D @ C )
| ( incident_c @ D @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(145,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ C )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( C
= ( sum @ B @ A ) )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(146,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)],[96]) ).
thf(147,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( C
= ( sum @ B @ A ) )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(148,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ B )
| ( C
= ( sum @ B @ A ) )
| ( incident_c @ ( ax0_sk2 @ A @ B @ C ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(149,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)],[93]) ).
thf(150,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)],[92]) ).
thf(151,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(152,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ! [C: $i] :
( ~ ( part_of @ C @ B )
| ! [D: $i] :
( ~ ( 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)],[127]) ).
thf(153,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( part_of @ ( ax0_sk3 @ B @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(154,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( part_of @ ( ax0_sk4 @ B @ A ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(155,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( incident_c @ A @ ( ax0_sk3 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(156,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( incident_c @ A @ ( ax0_sk4 @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(157,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)],[85]) ).
thf(158,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)],[84]) ).
thf(159,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(160,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ~ ( end_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(161,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ( end_point @ A @ B )
| ( inner_point @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(162,plain,
( ( ! [A: $i,B: $i] :
( ! [C: $i] :
~ ( meet @ A @ B @ C )
| ( incident_c @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(163,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( incident_c @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(164,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ! [D: $i] :
( ~ ( incident_c @ D @ B )
| ~ ( incident_c @ D @ C )
| ( end_point @ D @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(165,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ! [D: $i] :
( ~ ( incident_c @ D @ B )
| ~ ( incident_c @ D @ C )
| ( end_point @ D @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(166,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ! [C: $i] :
( ~ ( incident_c @ A @ C )
| ( incident_c @ ( ax0_sk5 @ C @ B @ A ) @ B )
| ( meet @ A @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(167,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ! [C: $i] :
( ~ ( incident_c @ A @ C )
| ( incident_c @ ( ax0_sk5 @ C @ B @ A ) @ C )
| ( meet @ A @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(168,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ A @ B )
| ! [C: $i] :
( ~ ( 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)],[117]) ).
thf(169,plain,
( ( ! [A: $i] :
( ~ ( closed @ A )
| ! [B: $i] :
~ ( end_point @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(170,plain,
( ( ! [A: $i] :
( ( closed @ A )
| ( end_point @ ( ax0_sk6 @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(171,plain,
( ( ! [A: $i] :
( ~ ( open @ A )
| ( end_point @ ( ax0_sk7 @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(172,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( open @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(173,plain,
( ( ! [A: $i,B: $i] :
( ~ ( part_of @ A @ B )
| ( A = B )
| ( open @ A ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(174,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( part_of @ A @ B )
| ~ ( part_of @ C @ B )
| ! [D: $i] :
( ~ ( part_of @ D @ B )
| ! [E: $i] :
( ~ ( 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)],[114]) ).
thf(175,plain,
( ( ! [A: $i] : ( inner_point @ ( ax0_sk8 @ A ) @ A ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(176,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( meet @ A @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(177,plain,
( ( ! [A: $i,B: $i] :
( ~ ( inner_point @ A @ B )
| ( B
= ( sum @ ( ax0_sk9 @ A @ B ) @ ( ax0_sk10 @ A @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(178,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ! [C: $i] :
( ~ ( end_point @ C @ B )
| ! [D: $i] :
( ~ ( end_point @ D @ B )
| ( A = C )
| ( A = D )
| ( C = D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(179,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( end_point @ ( ax0_sk11 @ A @ B ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(180,plain,
( ( ! [A: $i,B: $i] :
( ~ ( end_point @ A @ B )
| ( A
!= ( ax0_sk11 @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(181,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( closed @ A )
| ! [D: $i] :
( ~ ( meet @ B @ C @ D )
| ( A
!= ( sum @ C @ D ) )
| ! [E: $i] :
( ~ ( end_point @ E @ C )
| ( meet @ E @ C @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(182,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( meet @ A @ B @ C )
| ( ( ax0_sk12 @ C @ B )
= ( sum @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(183,plain,
( ( ! [A: $i,B: $i] :
( ( incident_c @ ( ax0_sk13 @ A @ B ) @ B )
| ( B = A )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(184,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)],[58]) ).
thf(185,plain,
( ( ! [A: $i,B: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ A @ B ) @ A )
| ( B = A )
| ( incident_c @ ( ax0_sk13 @ A @ B ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(186,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)],[56]) ).
thf(187,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(188,plain,
! [SV1: $i] :
( ( ! [SY126: $i] :
( ~ ( part_of @ SV1 @ SY126 )
| ! [SY127: $i] :
( ~ ( incident_c @ SY127 @ SV1 )
| ( incident_c @ SY127 @ SY126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(189,plain,
! [SV2: $i] :
( ( ! [SY128: $i] :
( ( incident_c @ ( ax0_sk1 @ SV2 @ SY128 ) @ SV2 )
| ( part_of @ SV2 @ SY128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(190,plain,
! [SV3: $i] :
( ( ! [SY129: $i] :
( ~ ( incident_c @ ( ax0_sk1 @ SV3 @ SY129 ) @ SY129 )
| ( part_of @ SV3 @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(191,plain,
! [SV4: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ( SV4
!= ( sum @ SY130 @ SY131 ) )
| ! [SY132: $i] :
( ~ ( incident_c @ SY132 @ SV4 )
| ( incident_c @ SY132 @ SY130 )
| ( incident_c @ SY132 @ SY131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(192,plain,
! [SV5: $i] :
( ( ! [SY133: $i] :
( ! [SY134: $i] :
( SV5
!= ( sum @ SY133 @ SY134 ) )
| ! [SY135: $i] :
( ~ ( incident_c @ SY135 @ SY133 )
| ( incident_c @ SY135 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(193,plain,
! [SV6: $i] :
( ( ! [SY136: $i,SY137: $i] :
( ( SV6
!= ( sum @ SY136 @ SY137 ) )
| ! [SY138: $i] :
( ~ ( incident_c @ SY138 @ SY137 )
| ( incident_c @ SY138 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(194,plain,
! [SV7: $i] :
( ( ! [SY139: $i,SY140: $i] :
( ( incident_c @ ( ax0_sk2 @ SV7 @ SY139 @ SY140 ) @ SY140 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SY139 @ SY140 ) @ SY139 )
| ( SY140
= ( sum @ SY139 @ SV7 ) )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SY139 @ SY140 ) @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(195,plain,
! [SV8: $i] :
( ( ! [SY141: $i,SY142: $i] :
( ( incident_c @ ( ax0_sk2 @ SV8 @ SY141 @ SY142 ) @ SY142 )
| ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SY141 @ SY142 ) @ SY142 )
| ( SY142
= ( sum @ SY141 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(196,plain,
! [SV9: $i] :
( ( ! [SY143: $i,SY144: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SY143 @ SY144 ) @ SY143 )
| ( incident_c @ ( ax0_sk2 @ SV9 @ SY143 @ SY144 ) @ SY143 )
| ( SY144
= ( sum @ SY143 @ SV9 ) )
| ( incident_c @ ( ax0_sk2 @ SV9 @ SY143 @ SY144 ) @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(197,plain,
! [SV10: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV10 @ SY145 @ SY146 ) @ SV10 )
| ( incident_c @ ( ax0_sk2 @ SV10 @ SY145 @ SY146 ) @ SY145 )
| ( SY146
= ( sum @ SY145 @ SV10 ) )
| ( incident_c @ ( ax0_sk2 @ SV10 @ SY145 @ SY146 ) @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(198,plain,
! [SV11: $i] :
( ( ! [SY147: $i,SY148: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV11 @ SY147 @ SY148 ) @ SY147 )
| ~ ( incident_c @ ( ax0_sk2 @ SV11 @ SY147 @ SY148 ) @ SY148 )
| ( SY148
= ( sum @ SY147 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(199,plain,
! [SV12: $i] :
( ( ! [SY149: $i,SY150: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV12 @ SY149 @ SY150 ) @ SV12 )
| ~ ( incident_c @ ( ax0_sk2 @ SV12 @ SY149 @ SY150 ) @ SY150 )
| ( SY150
= ( sum @ SY149 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(200,plain,
! [SV13: $i] :
( ( ! [SY151: $i] :
( ~ ( end_point @ SV13 @ SY151 )
| ( incident_c @ SV13 @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(201,plain,
! [SV14: $i] :
( ( ! [SY152: $i] :
( ~ ( end_point @ SV14 @ SY152 )
| ! [SY153: $i] :
( ~ ( part_of @ SY153 @ SY152 )
| ! [SY154: $i] :
( ~ ( part_of @ SY154 @ SY152 )
| ~ ( incident_c @ SV14 @ SY153 )
| ~ ( incident_c @ SV14 @ SY154 )
| ( part_of @ SY153 @ SY154 )
| ( part_of @ SY154 @ SY153 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(202,plain,
! [SV15: $i] :
( ( ! [SY155: $i] :
( ~ ( incident_c @ SV15 @ SY155 )
| ( end_point @ SV15 @ SY155 )
| ( part_of @ ( ax0_sk3 @ SY155 @ SV15 ) @ SY155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(203,plain,
! [SV16: $i] :
( ( ! [SY156: $i] :
( ~ ( incident_c @ SV16 @ SY156 )
| ( end_point @ SV16 @ SY156 )
| ( part_of @ ( ax0_sk4 @ SY156 @ SV16 ) @ SY156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(204,plain,
! [SV17: $i] :
( ( ! [SY157: $i] :
( ~ ( incident_c @ SV17 @ SY157 )
| ( end_point @ SV17 @ SY157 )
| ( incident_c @ SV17 @ ( ax0_sk3 @ SY157 @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(205,plain,
! [SV18: $i] :
( ( ! [SY158: $i] :
( ~ ( incident_c @ SV18 @ SY158 )
| ( end_point @ SV18 @ SY158 )
| ( incident_c @ SV18 @ ( ax0_sk4 @ SY158 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(206,plain,
! [SV19: $i] :
( ( ! [SY159: $i] :
( ~ ( incident_c @ SV19 @ SY159 )
| ~ ( part_of @ ( ax0_sk3 @ SY159 @ SV19 ) @ ( ax0_sk4 @ SY159 @ SV19 ) )
| ( end_point @ SV19 @ SY159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(207,plain,
! [SV20: $i] :
( ( ! [SY160: $i] :
( ~ ( incident_c @ SV20 @ SY160 )
| ~ ( part_of @ ( ax0_sk4 @ SY160 @ SV20 ) @ ( ax0_sk3 @ SY160 @ SV20 ) )
| ( end_point @ SV20 @ SY160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(208,plain,
! [SV21: $i] :
( ( ! [SY161: $i] :
( ~ ( inner_point @ SV21 @ SY161 )
| ( incident_c @ SV21 @ SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(209,plain,
! [SV22: $i] :
( ( ! [SY162: $i] :
( ~ ( inner_point @ SV22 @ SY162 )
| ~ ( end_point @ SV22 @ SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(210,plain,
! [SV23: $i] :
( ( ! [SY163: $i] :
( ~ ( incident_c @ SV23 @ SY163 )
| ( end_point @ SV23 @ SY163 )
| ( inner_point @ SV23 @ SY163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(211,plain,
! [SV24: $i] :
( ( ! [SY164: $i] :
( ! [SY165: $i] :
~ ( meet @ SV24 @ SY164 @ SY165 )
| ( incident_c @ SV24 @ SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(212,plain,
! [SV25: $i] :
( ( ! [SY166: $i,SY167: $i] :
( ~ ( meet @ SV25 @ SY166 @ SY167 )
| ( incident_c @ SV25 @ SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(213,plain,
! [SV26: $i] :
( ( ! [SY168: $i,SY169: $i] :
( ~ ( meet @ SV26 @ SY168 @ SY169 )
| ! [D: $i] :
( ~ ( incident_c @ D @ SY168 )
| ~ ( incident_c @ D @ SY169 )
| ( end_point @ D @ SY168 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(214,plain,
! [SV27: $i] :
( ( ! [SY171: $i,SY172: $i] :
( ~ ( meet @ SV27 @ SY171 @ SY172 )
| ! [D: $i] :
( ~ ( incident_c @ D @ SY171 )
| ~ ( incident_c @ D @ SY172 )
| ( end_point @ D @ SY172 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(215,plain,
! [SV28: $i] :
( ( ! [SY174: $i] :
( ~ ( incident_c @ SV28 @ SY174 )
| ! [SY175: $i] :
( ~ ( incident_c @ SV28 @ SY175 )
| ( incident_c @ ( ax0_sk5 @ SY175 @ SY174 @ SV28 ) @ SY174 )
| ( meet @ SV28 @ SY174 @ SY175 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(216,plain,
! [SV29: $i] :
( ( ! [SY176: $i] :
( ~ ( incident_c @ SV29 @ SY176 )
| ! [SY177: $i] :
( ~ ( incident_c @ SV29 @ SY177 )
| ( incident_c @ ( ax0_sk5 @ SY177 @ SY176 @ SV29 ) @ SY177 )
| ( meet @ SV29 @ SY176 @ SY177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(217,plain,
! [SV30: $i] :
( ( ! [SY178: $i] :
( ~ ( incident_c @ SV30 @ SY178 )
| ! [SY179: $i] :
( ~ ( incident_c @ SV30 @ SY179 )
| ~ ( end_point @ ( ax0_sk5 @ SY179 @ SY178 @ SV30 ) @ SY178 )
| ~ ( end_point @ ( ax0_sk5 @ SY179 @ SY178 @ SV30 ) @ SY179 )
| ( meet @ SV30 @ SY178 @ SY179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(218,plain,
! [SV31: $i] :
( ( ~ ( closed @ SV31 )
| ! [SY180: $i] :
~ ( end_point @ SY180 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(219,plain,
! [SV32: $i] :
( ( ( closed @ SV32 )
| ( end_point @ ( ax0_sk6 @ SV32 ) @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(220,plain,
! [SV33: $i] :
( ( ~ ( open @ SV33 )
| ( end_point @ ( ax0_sk7 @ SV33 ) @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(221,plain,
! [SV34: $i] :
( ( ! [SY181: $i] :
( ~ ( end_point @ SV34 @ SY181 )
| ( open @ SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(222,plain,
! [SV35: $i] :
( ( ! [SY182: $i] :
( ~ ( part_of @ SV35 @ SY182 )
| ( SV35 = SY182 )
| ( open @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(223,plain,
! [SV36: $i] :
( ( ! [SY183: $i,SY184: $i] :
( ~ ( part_of @ SV36 @ SY183 )
| ~ ( part_of @ SY184 @ SY183 )
| ! [SY185: $i] :
( ~ ( part_of @ SY185 @ SY183 )
| ! [SY186: $i] :
( ~ ( end_point @ SY186 @ SV36 )
| ~ ( end_point @ SY186 @ SY184 )
| ~ ( end_point @ SY186 @ SY185 )
| ( part_of @ SY184 @ SY185 )
| ( part_of @ SY185 @ SY184 )
| ( part_of @ SV36 @ SY184 )
| ( part_of @ SY184 @ SV36 )
| ( part_of @ SV36 @ SY185 )
| ( part_of @ SY185 @ SV36 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(224,plain,
! [SV37: $i] :
( ( inner_point @ ( ax0_sk8 @ SV37 ) @ SV37 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(225,plain,
! [SV38: $i] :
( ( ! [SY187: $i] :
( ~ ( inner_point @ SV38 @ SY187 )
| ( meet @ SV38 @ ( ax0_sk9 @ SV38 @ SY187 ) @ ( ax0_sk10 @ SV38 @ SY187 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(226,plain,
! [SV39: $i] :
( ( ! [SY188: $i] :
( ~ ( inner_point @ SV39 @ SY188 )
| ( SY188
= ( sum @ ( ax0_sk9 @ SV39 @ SY188 ) @ ( ax0_sk10 @ SV39 @ SY188 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(227,plain,
! [SV40: $i] :
( ( ! [SY189: $i] :
( ~ ( end_point @ SV40 @ SY189 )
| ! [SY190: $i] :
( ~ ( end_point @ SY190 @ SY189 )
| ! [SY191: $i] :
( ~ ( end_point @ SY191 @ SY189 )
| ( SV40 = SY190 )
| ( SV40 = SY191 )
| ( SY190 = SY191 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(228,plain,
! [SV41: $i] :
( ( ! [SY192: $i] :
( ~ ( end_point @ SV41 @ SY192 )
| ( end_point @ ( ax0_sk11 @ SV41 @ SY192 ) @ SY192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(229,plain,
! [SV42: $i] :
( ( ! [SY193: $i] :
( ~ ( end_point @ SV42 @ SY193 )
| ( SV42
!= ( ax0_sk11 @ SV42 @ SY193 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(230,plain,
! [SV43: $i] :
( ( ! [SY194: $i,SY195: $i] :
( ~ ( closed @ SV43 )
| ! [SY196: $i] :
( ~ ( meet @ SY194 @ SY195 @ SY196 )
| ( SV43
!= ( sum @ SY195 @ SY196 ) )
| ! [E: $i] :
( ~ ( end_point @ E @ SY195 )
| ( meet @ E @ SY195 @ SY196 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(231,plain,
! [SV44: $i] :
( ( ! [SY198: $i,SY199: $i] :
( ~ ( meet @ SV44 @ SY198 @ SY199 )
| ( ( ax0_sk12 @ SY199 @ SY198 )
= ( sum @ SY198 @ SY199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(232,plain,
! [SV45: $i] :
( ( ! [SY200: $i] :
( ( incident_c @ ( ax0_sk13 @ SV45 @ SY200 ) @ SY200 )
| ( SY200 = SV45 )
| ( incident_c @ ( ax0_sk13 @ SV45 @ SY200 ) @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(233,plain,
! [SV46: $i] :
( ( ! [SY201: $i] :
( ( incident_c @ ( ax0_sk13 @ SV46 @ SY201 ) @ SY201 )
| ~ ( incident_c @ ( ax0_sk13 @ SV46 @ SY201 ) @ SY201 )
| ( SY201 = SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(234,plain,
! [SV47: $i] :
( ( ! [SY202: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ SV47 @ SY202 ) @ SV47 )
| ( SY202 = SV47 )
| ( incident_c @ ( ax0_sk13 @ SV47 @ SY202 ) @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(235,plain,
! [SV48: $i] :
( ( ! [SY203: $i] :
( ~ ( incident_c @ ( ax0_sk13 @ SV48 @ SY203 ) @ SV48 )
| ~ ( incident_c @ ( ax0_sk13 @ SV48 @ SY203 ) @ SY203 )
| ( SY203 = SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(236,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(237,plain,
! [SV49: $i,SV1: $i] :
( ( ~ ( part_of @ SV1 @ SV49 )
| ! [SY204: $i] :
( ~ ( incident_c @ SY204 @ SV1 )
| ( incident_c @ SY204 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(238,plain,
! [SV50: $i,SV2: $i] :
( ( ( incident_c @ ( ax0_sk1 @ SV2 @ SV50 ) @ SV2 )
| ( part_of @ SV2 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(239,plain,
! [SV51: $i,SV3: $i] :
( ( ~ ( incident_c @ ( ax0_sk1 @ SV3 @ SV51 ) @ SV51 )
| ( part_of @ SV3 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(240,plain,
! [SV52: $i,SV4: $i] :
( ( ! [SY205: $i] :
( ( SV4
!= ( sum @ SV52 @ SY205 ) )
| ! [SY206: $i] :
( ~ ( incident_c @ SY206 @ SV4 )
| ( incident_c @ SY206 @ SV52 )
| ( incident_c @ SY206 @ SY205 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(241,plain,
! [SV53: $i,SV5: $i] :
( ( ! [SY207: $i] :
( SV5
!= ( sum @ SV53 @ SY207 ) )
| ! [SY208: $i] :
( ~ ( incident_c @ SY208 @ SV53 )
| ( incident_c @ SY208 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(242,plain,
! [SV54: $i,SV6: $i] :
( ( ! [SY209: $i] :
( ( SV6
!= ( sum @ SV54 @ SY209 ) )
| ! [SY138: $i] :
( ~ ( incident_c @ SY138 @ SY209 )
| ( incident_c @ SY138 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(243,plain,
! [SV55: $i,SV7: $i] :
( ( ! [SY211: $i] :
( ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SY211 ) @ SY211 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SY211 ) @ SV55 )
| ( SY211
= ( sum @ SV55 @ SV7 ) )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SY211 ) @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(244,plain,
! [SV56: $i,SV8: $i] :
( ( ! [SY212: $i] :
( ( incident_c @ ( ax0_sk2 @ SV8 @ SV56 @ SY212 ) @ SY212 )
| ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV56 @ SY212 ) @ SY212 )
| ( SY212
= ( sum @ SV56 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(245,plain,
! [SV57: $i,SV9: $i] :
( ( ! [SY213: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SY213 ) @ SV57 )
| ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SY213 ) @ SV57 )
| ( SY213
= ( sum @ SV57 @ SV9 ) )
| ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SY213 ) @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(246,plain,
! [SV58: $i,SV10: $i] :
( ( ! [SY214: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SY214 ) @ SV10 )
| ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SY214 ) @ SV58 )
| ( SY214
= ( sum @ SV58 @ SV10 ) )
| ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SY214 ) @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(247,plain,
! [SV59: $i,SV11: $i] :
( ( ! [SY215: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SY215 ) @ SV59 )
| ~ ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SY215 ) @ SY215 )
| ( SY215
= ( sum @ SV59 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(248,plain,
! [SV60: $i,SV12: $i] :
( ( ! [SY216: $i] :
( ~ ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SY216 ) @ SV12 )
| ~ ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SY216 ) @ SY216 )
| ( SY216
= ( sum @ SV60 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(249,plain,
! [SV61: $i,SV13: $i] :
( ( ~ ( end_point @ SV13 @ SV61 )
| ( incident_c @ SV13 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(250,plain,
! [SV62: $i,SV14: $i] :
( ( ~ ( end_point @ SV14 @ SV62 )
| ! [SY217: $i] :
( ~ ( part_of @ SY217 @ SV62 )
| ! [SY218: $i] :
( ~ ( part_of @ SY218 @ SV62 )
| ~ ( incident_c @ SV14 @ SY217 )
| ~ ( incident_c @ SV14 @ SY218 )
| ( part_of @ SY217 @ SY218 )
| ( part_of @ SY218 @ SY217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(251,plain,
! [SV63: $i,SV15: $i] :
( ( ~ ( incident_c @ SV15 @ SV63 )
| ( end_point @ SV15 @ SV63 )
| ( part_of @ ( ax0_sk3 @ SV63 @ SV15 ) @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(252,plain,
! [SV64: $i,SV16: $i] :
( ( ~ ( incident_c @ SV16 @ SV64 )
| ( end_point @ SV16 @ SV64 )
| ( part_of @ ( ax0_sk4 @ SV64 @ SV16 ) @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(253,plain,
! [SV65: $i,SV17: $i] :
( ( ~ ( incident_c @ SV17 @ SV65 )
| ( end_point @ SV17 @ SV65 )
| ( incident_c @ SV17 @ ( ax0_sk3 @ SV65 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(254,plain,
! [SV66: $i,SV18: $i] :
( ( ~ ( incident_c @ SV18 @ SV66 )
| ( end_point @ SV18 @ SV66 )
| ( incident_c @ SV18 @ ( ax0_sk4 @ SV66 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(255,plain,
! [SV67: $i,SV19: $i] :
( ( ~ ( incident_c @ SV19 @ SV67 )
| ~ ( part_of @ ( ax0_sk3 @ SV67 @ SV19 ) @ ( ax0_sk4 @ SV67 @ SV19 ) )
| ( end_point @ SV19 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(256,plain,
! [SV68: $i,SV20: $i] :
( ( ~ ( incident_c @ SV20 @ SV68 )
| ~ ( part_of @ ( ax0_sk4 @ SV68 @ SV20 ) @ ( ax0_sk3 @ SV68 @ SV20 ) )
| ( end_point @ SV20 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(257,plain,
! [SV69: $i,SV21: $i] :
( ( ~ ( inner_point @ SV21 @ SV69 )
| ( incident_c @ SV21 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(258,plain,
! [SV70: $i,SV22: $i] :
( ( ~ ( inner_point @ SV22 @ SV70 )
| ~ ( end_point @ SV22 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(259,plain,
! [SV71: $i,SV23: $i] :
( ( ~ ( incident_c @ SV23 @ SV71 )
| ( end_point @ SV23 @ SV71 )
| ( inner_point @ SV23 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(260,plain,
! [SV72: $i,SV24: $i] :
( ( ! [SY219: $i] :
~ ( meet @ SV24 @ SV72 @ SY219 )
| ( incident_c @ SV24 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(261,plain,
! [SV73: $i,SV25: $i] :
( ( ! [SY220: $i] :
( ~ ( meet @ SV25 @ SV73 @ SY220 )
| ( incident_c @ SV25 @ SY220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(262,plain,
! [SV74: $i,SV26: $i] :
( ( ! [SY221: $i] :
( ~ ( meet @ SV26 @ SV74 @ SY221 )
| ! [SY222: $i] :
( ~ ( incident_c @ SY222 @ SV74 )
| ~ ( incident_c @ SY222 @ SY221 )
| ( end_point @ SY222 @ SV74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(263,plain,
! [SV75: $i,SV27: $i] :
( ( ! [SY223: $i] :
( ~ ( meet @ SV27 @ SV75 @ SY223 )
| ! [SY224: $i] :
( ~ ( incident_c @ SY224 @ SV75 )
| ~ ( incident_c @ SY224 @ SY223 )
| ( end_point @ SY224 @ SY223 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(264,plain,
! [SV76: $i,SV28: $i] :
( ( ~ ( incident_c @ SV28 @ SV76 )
| ! [SY225: $i] :
( ~ ( incident_c @ SV28 @ SY225 )
| ( incident_c @ ( ax0_sk5 @ SY225 @ SV76 @ SV28 ) @ SV76 )
| ( meet @ SV28 @ SV76 @ SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(265,plain,
! [SV77: $i,SV29: $i] :
( ( ~ ( incident_c @ SV29 @ SV77 )
| ! [SY226: $i] :
( ~ ( incident_c @ SV29 @ SY226 )
| ( incident_c @ ( ax0_sk5 @ SY226 @ SV77 @ SV29 ) @ SY226 )
| ( meet @ SV29 @ SV77 @ SY226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(266,plain,
! [SV78: $i,SV30: $i] :
( ( ~ ( incident_c @ SV30 @ SV78 )
| ! [SY227: $i] :
( ~ ( incident_c @ SV30 @ SY227 )
| ~ ( end_point @ ( ax0_sk5 @ SY227 @ SV78 @ SV30 ) @ SV78 )
| ~ ( end_point @ ( ax0_sk5 @ SY227 @ SV78 @ SV30 ) @ SY227 )
| ( meet @ SV30 @ SV78 @ SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(267,plain,
! [SV31: $i] :
( ( ( ~ ( closed @ SV31 ) )
= $true )
| ( ( ! [SY180: $i] :
~ ( end_point @ SY180 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(268,plain,
! [SV32: $i] :
( ( ( closed @ SV32 )
= $true )
| ( ( end_point @ ( ax0_sk6 @ SV32 ) @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(269,plain,
! [SV33: $i] :
( ( ( ~ ( open @ SV33 ) )
= $true )
| ( ( end_point @ ( ax0_sk7 @ SV33 ) @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(270,plain,
! [SV79: $i,SV34: $i] :
( ( ~ ( end_point @ SV34 @ SV79 )
| ( open @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(271,plain,
! [SV80: $i,SV35: $i] :
( ( ~ ( part_of @ SV35 @ SV80 )
| ( SV35 = SV80 )
| ( open @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(272,plain,
! [SV81: $i,SV36: $i] :
( ( ! [SY228: $i] :
( ~ ( part_of @ SV36 @ SV81 )
| ~ ( part_of @ SY228 @ SV81 )
| ! [SY229: $i] :
( ~ ( part_of @ SY229 @ SV81 )
| ! [SY186: $i] :
( ~ ( end_point @ SY186 @ SV36 )
| ~ ( end_point @ SY186 @ SY228 )
| ~ ( end_point @ SY186 @ SY229 )
| ( part_of @ SY228 @ SY229 )
| ( part_of @ SY229 @ SY228 )
| ( part_of @ SV36 @ SY228 )
| ( part_of @ SY228 @ SV36 )
| ( part_of @ SV36 @ SY229 )
| ( part_of @ SY229 @ SV36 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(273,plain,
! [SV82: $i,SV38: $i] :
( ( ~ ( inner_point @ SV38 @ SV82 )
| ( meet @ SV38 @ ( ax0_sk9 @ SV38 @ SV82 ) @ ( ax0_sk10 @ SV38 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(274,plain,
! [SV83: $i,SV39: $i] :
( ( ~ ( inner_point @ SV39 @ SV83 )
| ( SV83
= ( sum @ ( ax0_sk9 @ SV39 @ SV83 ) @ ( ax0_sk10 @ SV39 @ SV83 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(275,plain,
! [SV84: $i,SV40: $i] :
( ( ~ ( end_point @ SV40 @ SV84 )
| ! [SY231: $i] :
( ~ ( end_point @ SY231 @ SV84 )
| ! [SY232: $i] :
( ~ ( end_point @ SY232 @ SV84 )
| ( SV40 = SY231 )
| ( SV40 = SY232 )
| ( SY231 = SY232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(276,plain,
! [SV85: $i,SV41: $i] :
( ( ~ ( end_point @ SV41 @ SV85 )
| ( end_point @ ( ax0_sk11 @ SV41 @ SV85 ) @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(277,plain,
! [SV86: $i,SV42: $i] :
( ( ~ ( end_point @ SV42 @ SV86 )
| ( SV42
!= ( ax0_sk11 @ SV42 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(278,plain,
! [SV87: $i,SV43: $i] :
( ( ! [SY233: $i] :
( ~ ( closed @ SV43 )
| ! [SY234: $i] :
( ~ ( meet @ SV87 @ SY233 @ SY234 )
| ( SV43
!= ( sum @ SY233 @ SY234 ) )
| ! [E: $i] :
( ~ ( end_point @ E @ SY233 )
| ( meet @ E @ SY233 @ SY234 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(279,plain,
! [SV88: $i,SV44: $i] :
( ( ! [SY236: $i] :
( ~ ( meet @ SV44 @ SV88 @ SY236 )
| ( ( ax0_sk12 @ SY236 @ SV88 )
= ( sum @ SV88 @ SY236 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(280,plain,
! [SV89: $i,SV45: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV45 @ SV89 ) @ SV89 )
| ( SV89 = SV45 )
| ( incident_c @ ( ax0_sk13 @ SV45 @ SV89 ) @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(281,plain,
! [SV90: $i,SV46: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV46 @ SV90 ) @ SV90 )
| ~ ( incident_c @ ( ax0_sk13 @ SV46 @ SV90 ) @ SV90 )
| ( SV90 = SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(282,plain,
! [SV91: $i,SV47: $i] :
( ( ~ ( incident_c @ ( ax0_sk13 @ SV47 @ SV91 ) @ SV47 )
| ( SV91 = SV47 )
| ( incident_c @ ( ax0_sk13 @ SV47 @ SV91 ) @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(283,plain,
! [SV92: $i,SV48: $i] :
( ( ~ ( incident_c @ ( ax0_sk13 @ SV48 @ SV92 ) @ SV48 )
| ~ ( incident_c @ ( ax0_sk13 @ SV48 @ SV92 ) @ SV92 )
| ( SV92 = SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(284,plain,
! [SV49: $i,SV1: $i] :
( ( ( ~ ( part_of @ SV1 @ SV49 ) )
= $true )
| ( ( ! [SY204: $i] :
( ~ ( incident_c @ SY204 @ SV1 )
| ( incident_c @ SY204 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(285,plain,
! [SV50: $i,SV2: $i] :
( ( ( incident_c @ ( ax0_sk1 @ SV2 @ SV50 ) @ SV2 )
= $true )
| ( ( part_of @ SV2 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(286,plain,
! [SV51: $i,SV3: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk1 @ SV3 @ SV51 ) @ SV51 ) )
= $true )
| ( ( part_of @ SV3 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(287,plain,
! [SV93: $i,SV52: $i,SV4: $i] :
( ( ( SV4
!= ( sum @ SV52 @ SV93 ) )
| ! [SY237: $i] :
( ~ ( incident_c @ SY237 @ SV4 )
| ( incident_c @ SY237 @ SV52 )
| ( incident_c @ SY237 @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(288,plain,
! [SV53: $i,SV5: $i] :
( ( ( ! [SY207: $i] :
( SV5
!= ( sum @ SV53 @ SY207 ) ) )
= $true )
| ( ( ! [SY208: $i] :
( ~ ( incident_c @ SY208 @ SV53 )
| ( incident_c @ SY208 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(289,plain,
! [SV94: $i,SV54: $i,SV6: $i] :
( ( ( SV6
!= ( sum @ SV54 @ SV94 ) )
| ! [SY238: $i] :
( ~ ( incident_c @ SY238 @ SV94 )
| ( incident_c @ SY238 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(290,plain,
! [SV95: $i,SV55: $i,SV7: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV95 )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV55 )
| ( SV95
= ( sum @ SV55 @ SV7 ) )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(291,plain,
! [SV96: $i,SV56: $i,SV8: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV56 @ SV96 ) @ SV96 )
| ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV56 @ SV96 ) @ SV96 )
| ( SV96
= ( sum @ SV56 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(292,plain,
! [SV97: $i,SV57: $i,SV9: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV57 )
| ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV57 )
| ( SV97
= ( sum @ SV57 @ SV9 ) )
| ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(293,plain,
! [SV98: $i,SV58: $i,SV10: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV10 )
| ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV58 )
| ( SV98
= ( sum @ SV58 @ SV10 ) )
| ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(294,plain,
! [SV99: $i,SV59: $i,SV11: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SV99 ) @ SV59 )
| ~ ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SV99 ) @ SV99 )
| ( SV99
= ( sum @ SV59 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(295,plain,
! [SV100: $i,SV60: $i,SV12: $i] :
( ( ~ ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SV100 ) @ SV12 )
| ~ ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SV100 ) @ SV100 )
| ( SV100
= ( sum @ SV60 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(296,plain,
! [SV61: $i,SV13: $i] :
( ( ( ~ ( end_point @ SV13 @ SV61 ) )
= $true )
| ( ( incident_c @ SV13 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(297,plain,
! [SV62: $i,SV14: $i] :
( ( ( ~ ( end_point @ SV14 @ SV62 ) )
= $true )
| ( ( ! [SY217: $i] :
( ~ ( part_of @ SY217 @ SV62 )
| ! [SY218: $i] :
( ~ ( part_of @ SY218 @ SV62 )
| ~ ( incident_c @ SV14 @ SY217 )
| ~ ( incident_c @ SV14 @ SY218 )
| ( part_of @ SY217 @ SY218 )
| ( part_of @ SY218 @ SY217 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(298,plain,
! [SV63: $i,SV15: $i] :
( ( ( ~ ( incident_c @ SV15 @ SV63 ) )
= $true )
| ( ( ( end_point @ SV15 @ SV63 )
| ( part_of @ ( ax0_sk3 @ SV63 @ SV15 ) @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(299,plain,
! [SV64: $i,SV16: $i] :
( ( ( ~ ( incident_c @ SV16 @ SV64 ) )
= $true )
| ( ( ( end_point @ SV16 @ SV64 )
| ( part_of @ ( ax0_sk4 @ SV64 @ SV16 ) @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(300,plain,
! [SV65: $i,SV17: $i] :
( ( ( ~ ( incident_c @ SV17 @ SV65 ) )
= $true )
| ( ( ( end_point @ SV17 @ SV65 )
| ( incident_c @ SV17 @ ( ax0_sk3 @ SV65 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(301,plain,
! [SV66: $i,SV18: $i] :
( ( ( ~ ( incident_c @ SV18 @ SV66 ) )
= $true )
| ( ( ( end_point @ SV18 @ SV66 )
| ( incident_c @ SV18 @ ( ax0_sk4 @ SV66 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(302,plain,
! [SV67: $i,SV19: $i] :
( ( ( ~ ( incident_c @ SV19 @ SV67 ) )
= $true )
| ( ( ~ ( part_of @ ( ax0_sk3 @ SV67 @ SV19 ) @ ( ax0_sk4 @ SV67 @ SV19 ) )
| ( end_point @ SV19 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(303,plain,
! [SV68: $i,SV20: $i] :
( ( ( ~ ( incident_c @ SV20 @ SV68 ) )
= $true )
| ( ( ~ ( part_of @ ( ax0_sk4 @ SV68 @ SV20 ) @ ( ax0_sk3 @ SV68 @ SV20 ) )
| ( end_point @ SV20 @ SV68 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(304,plain,
! [SV69: $i,SV21: $i] :
( ( ( ~ ( inner_point @ SV21 @ SV69 ) )
= $true )
| ( ( incident_c @ SV21 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(305,plain,
! [SV70: $i,SV22: $i] :
( ( ( ~ ( inner_point @ SV22 @ SV70 ) )
= $true )
| ( ( ~ ( end_point @ SV22 @ SV70 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(306,plain,
! [SV71: $i,SV23: $i] :
( ( ( ~ ( incident_c @ SV23 @ SV71 ) )
= $true )
| ( ( ( end_point @ SV23 @ SV71 )
| ( inner_point @ SV23 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(307,plain,
! [SV72: $i,SV24: $i] :
( ( ( ! [SY219: $i] :
~ ( meet @ SV24 @ SV72 @ SY219 ) )
= $true )
| ( ( incident_c @ SV24 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(308,plain,
! [SV101: $i,SV73: $i,SV25: $i] :
( ( ~ ( meet @ SV25 @ SV73 @ SV101 )
| ( incident_c @ SV25 @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(309,plain,
! [SV102: $i,SV74: $i,SV26: $i] :
( ( ~ ( meet @ SV26 @ SV74 @ SV102 )
| ! [SY239: $i] :
( ~ ( incident_c @ SY239 @ SV74 )
| ~ ( incident_c @ SY239 @ SV102 )
| ( end_point @ SY239 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(310,plain,
! [SV103: $i,SV75: $i,SV27: $i] :
( ( ~ ( meet @ SV27 @ SV75 @ SV103 )
| ! [SY240: $i] :
( ~ ( incident_c @ SY240 @ SV75 )
| ~ ( incident_c @ SY240 @ SV103 )
| ( end_point @ SY240 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(311,plain,
! [SV76: $i,SV28: $i] :
( ( ( ~ ( incident_c @ SV28 @ SV76 ) )
= $true )
| ( ( ! [SY225: $i] :
( ~ ( incident_c @ SV28 @ SY225 )
| ( incident_c @ ( ax0_sk5 @ SY225 @ SV76 @ SV28 ) @ SV76 )
| ( meet @ SV28 @ SV76 @ SY225 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(312,plain,
! [SV77: $i,SV29: $i] :
( ( ( ~ ( incident_c @ SV29 @ SV77 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( incident_c @ SV29 @ SY226 )
| ( incident_c @ ( ax0_sk5 @ SY226 @ SV77 @ SV29 ) @ SY226 )
| ( meet @ SV29 @ SV77 @ SY226 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(313,plain,
! [SV78: $i,SV30: $i] :
( ( ( ~ ( incident_c @ SV30 @ SV78 ) )
= $true )
| ( ( ! [SY227: $i] :
( ~ ( incident_c @ SV30 @ SY227 )
| ~ ( end_point @ ( ax0_sk5 @ SY227 @ SV78 @ SV30 ) @ SV78 )
| ~ ( end_point @ ( ax0_sk5 @ SY227 @ SV78 @ SV30 ) @ SY227 )
| ( meet @ SV30 @ SV78 @ SY227 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(314,plain,
! [SV31: $i] :
( ( ( closed @ SV31 )
= $false )
| ( ( ! [SY180: $i] :
~ ( end_point @ SY180 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(315,plain,
! [SV33: $i] :
( ( ( open @ SV33 )
= $false )
| ( ( end_point @ ( ax0_sk7 @ SV33 ) @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(316,plain,
! [SV79: $i,SV34: $i] :
( ( ( ~ ( end_point @ SV34 @ SV79 ) )
= $true )
| ( ( open @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(317,plain,
! [SV80: $i,SV35: $i] :
( ( ( ~ ( part_of @ SV35 @ SV80 ) )
= $true )
| ( ( ( SV35 = SV80 )
| ( open @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(318,plain,
! [SV104: $i,SV81: $i,SV36: $i] :
( ( ~ ( part_of @ SV36 @ SV81 )
| ~ ( part_of @ SV104 @ SV81 )
| ! [SY241: $i] :
( ~ ( part_of @ SY241 @ SV81 )
| ! [SY242: $i] :
( ~ ( end_point @ SY242 @ SV36 )
| ~ ( end_point @ SY242 @ SV104 )
| ~ ( end_point @ SY242 @ SY241 )
| ( part_of @ SV104 @ SY241 )
| ( part_of @ SY241 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SY241 )
| ( part_of @ SY241 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(319,plain,
! [SV82: $i,SV38: $i] :
( ( ( ~ ( inner_point @ SV38 @ SV82 ) )
= $true )
| ( ( meet @ SV38 @ ( ax0_sk9 @ SV38 @ SV82 ) @ ( ax0_sk10 @ SV38 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(320,plain,
! [SV83: $i,SV39: $i] :
( ( ( ~ ( inner_point @ SV39 @ SV83 ) )
= $true )
| ( ( SV83
= ( sum @ ( ax0_sk9 @ SV39 @ SV83 ) @ ( ax0_sk10 @ SV39 @ SV83 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(321,plain,
! [SV84: $i,SV40: $i] :
( ( ( ~ ( end_point @ SV40 @ SV84 ) )
= $true )
| ( ( ! [SY231: $i] :
( ~ ( end_point @ SY231 @ SV84 )
| ! [SY232: $i] :
( ~ ( end_point @ SY232 @ SV84 )
| ( SV40 = SY231 )
| ( SV40 = SY232 )
| ( SY231 = SY232 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(322,plain,
! [SV85: $i,SV41: $i] :
( ( ( ~ ( end_point @ SV41 @ SV85 ) )
= $true )
| ( ( end_point @ ( ax0_sk11 @ SV41 @ SV85 ) @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(323,plain,
! [SV86: $i,SV42: $i] :
( ( ( ~ ( end_point @ SV42 @ SV86 ) )
= $true )
| ( ( ( SV42
!= ( ax0_sk11 @ SV42 @ SV86 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(324,plain,
! [SV105: $i,SV87: $i,SV43: $i] :
( ( ~ ( closed @ SV43 )
| ! [SY243: $i] :
( ~ ( meet @ SV87 @ SV105 @ SY243 )
| ( SV43
!= ( sum @ SV105 @ SY243 ) )
| ! [SY244: $i] :
( ~ ( end_point @ SY244 @ SV105 )
| ( meet @ SY244 @ SV105 @ SY243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(325,plain,
! [SV106: $i,SV88: $i,SV44: $i] :
( ( ~ ( meet @ SV44 @ SV88 @ SV106 )
| ( ( ax0_sk12 @ SV106 @ SV88 )
= ( sum @ SV88 @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(326,plain,
! [SV89: $i,SV45: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV45 @ SV89 ) @ SV89 )
= $true )
| ( ( ( SV89 = SV45 )
| ( incident_c @ ( ax0_sk13 @ SV45 @ SV89 ) @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(327,plain,
! [SV90: $i,SV46: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV46 @ SV90 ) @ SV90 )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk13 @ SV46 @ SV90 ) @ SV90 )
| ( SV90 = SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(328,plain,
! [SV91: $i,SV47: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV47 @ SV91 ) @ SV47 ) )
= $true )
| ( ( ( SV91 = SV47 )
| ( incident_c @ ( ax0_sk13 @ SV47 @ SV91 ) @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(329,plain,
! [SV92: $i,SV48: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV48 @ SV92 ) @ SV48 ) )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk13 @ SV48 @ SV92 ) @ SV92 )
| ( SV92 = SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(330,plain,
! [SV49: $i,SV1: $i] :
( ( ( part_of @ SV1 @ SV49 )
= $false )
| ( ( ! [SY204: $i] :
( ~ ( incident_c @ SY204 @ SV1 )
| ( incident_c @ SY204 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(331,plain,
! [SV51: $i,SV3: $i] :
( ( ( incident_c @ ( ax0_sk1 @ SV3 @ SV51 ) @ SV51 )
= $false )
| ( ( part_of @ SV3 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(332,plain,
! [SV93: $i,SV52: $i,SV4: $i] :
( ( ( ( SV4
!= ( sum @ SV52 @ SV93 ) ) )
= $true )
| ( ( ! [SY237: $i] :
( ~ ( incident_c @ SY237 @ SV4 )
| ( incident_c @ SY237 @ SV52 )
| ( incident_c @ SY237 @ SV93 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(333,plain,
! [SV107: $i,SV53: $i,SV5: $i] :
( ( ( ( SV5
!= ( sum @ SV53 @ SV107 ) ) )
= $true )
| ( ( ! [SY208: $i] :
( ~ ( incident_c @ SY208 @ SV53 )
| ( incident_c @ SY208 @ SV5 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(334,plain,
! [SV94: $i,SV54: $i,SV6: $i] :
( ( ( ( SV6
!= ( sum @ SV54 @ SV94 ) ) )
= $true )
| ( ( ! [SY238: $i] :
( ~ ( incident_c @ SY238 @ SV94 )
| ( incident_c @ SY238 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(335,plain,
! [SV95: $i,SV55: $i,SV7: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV95 )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV55 )
| ( SV95
= ( sum @ SV55 @ SV7 ) )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(336,plain,
! [SV96: $i,SV56: $i,SV8: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV56 @ SV96 ) @ SV96 )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV56 @ SV96 ) @ SV96 )
| ( SV96
= ( sum @ SV56 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(337,plain,
! [SV97: $i,SV57: $i,SV9: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV57 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV57 )
| ( SV97
= ( sum @ SV57 @ SV9 ) )
| ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(338,plain,
! [SV98: $i,SV58: $i,SV10: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV10 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV58 )
| ( SV98
= ( sum @ SV58 @ SV10 ) )
| ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(339,plain,
! [SV99: $i,SV59: $i,SV11: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SV99 ) @ SV59 ) )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SV99 ) @ SV99 )
| ( SV99
= ( sum @ SV59 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(340,plain,
! [SV100: $i,SV60: $i,SV12: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SV100 ) @ SV12 ) )
= $true )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SV100 ) @ SV100 )
| ( SV100
= ( sum @ SV60 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(341,plain,
! [SV61: $i,SV13: $i] :
( ( ( end_point @ SV13 @ SV61 )
= $false )
| ( ( incident_c @ SV13 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(342,plain,
! [SV62: $i,SV14: $i] :
( ( ( end_point @ SV14 @ SV62 )
= $false )
| ( ( ! [SY217: $i] :
( ~ ( part_of @ SY217 @ SV62 )
| ! [SY218: $i] :
( ~ ( part_of @ SY218 @ SV62 )
| ~ ( incident_c @ SV14 @ SY217 )
| ~ ( incident_c @ SV14 @ SY218 )
| ( part_of @ SY217 @ SY218 )
| ( part_of @ SY218 @ SY217 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(343,plain,
! [SV63: $i,SV15: $i] :
( ( ( incident_c @ SV15 @ SV63 )
= $false )
| ( ( ( end_point @ SV15 @ SV63 )
| ( part_of @ ( ax0_sk3 @ SV63 @ SV15 ) @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(344,plain,
! [SV64: $i,SV16: $i] :
( ( ( incident_c @ SV16 @ SV64 )
= $false )
| ( ( ( end_point @ SV16 @ SV64 )
| ( part_of @ ( ax0_sk4 @ SV64 @ SV16 ) @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(345,plain,
! [SV65: $i,SV17: $i] :
( ( ( incident_c @ SV17 @ SV65 )
= $false )
| ( ( ( end_point @ SV17 @ SV65 )
| ( incident_c @ SV17 @ ( ax0_sk3 @ SV65 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(346,plain,
! [SV66: $i,SV18: $i] :
( ( ( incident_c @ SV18 @ SV66 )
= $false )
| ( ( ( end_point @ SV18 @ SV66 )
| ( incident_c @ SV18 @ ( ax0_sk4 @ SV66 @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(347,plain,
! [SV67: $i,SV19: $i] :
( ( ( incident_c @ SV19 @ SV67 )
= $false )
| ( ( ~ ( part_of @ ( ax0_sk3 @ SV67 @ SV19 ) @ ( ax0_sk4 @ SV67 @ SV19 ) )
| ( end_point @ SV19 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(348,plain,
! [SV68: $i,SV20: $i] :
( ( ( incident_c @ SV20 @ SV68 )
= $false )
| ( ( ~ ( part_of @ ( ax0_sk4 @ SV68 @ SV20 ) @ ( ax0_sk3 @ SV68 @ SV20 ) )
| ( end_point @ SV20 @ SV68 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(349,plain,
! [SV69: $i,SV21: $i] :
( ( ( inner_point @ SV21 @ SV69 )
= $false )
| ( ( incident_c @ SV21 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(350,plain,
! [SV70: $i,SV22: $i] :
( ( ( inner_point @ SV22 @ SV70 )
= $false )
| ( ( ~ ( end_point @ SV22 @ SV70 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(351,plain,
! [SV71: $i,SV23: $i] :
( ( ( incident_c @ SV23 @ SV71 )
= $false )
| ( ( ( end_point @ SV23 @ SV71 )
| ( inner_point @ SV23 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(352,plain,
! [SV108: $i,SV72: $i,SV24: $i] :
( ( ( ~ ( meet @ SV24 @ SV72 @ SV108 ) )
= $true )
| ( ( incident_c @ SV24 @ SV72 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(353,plain,
! [SV101: $i,SV73: $i,SV25: $i] :
( ( ( ~ ( meet @ SV25 @ SV73 @ SV101 ) )
= $true )
| ( ( incident_c @ SV25 @ SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(354,plain,
! [SV102: $i,SV74: $i,SV26: $i] :
( ( ( ~ ( meet @ SV26 @ SV74 @ SV102 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( incident_c @ SY239 @ SV74 )
| ~ ( incident_c @ SY239 @ SV102 )
| ( end_point @ SY239 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(355,plain,
! [SV103: $i,SV75: $i,SV27: $i] :
( ( ( ~ ( meet @ SV27 @ SV75 @ SV103 ) )
= $true )
| ( ( ! [SY240: $i] :
( ~ ( incident_c @ SY240 @ SV75 )
| ~ ( incident_c @ SY240 @ SV103 )
| ( end_point @ SY240 @ SV103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(356,plain,
! [SV76: $i,SV28: $i] :
( ( ( incident_c @ SV28 @ SV76 )
= $false )
| ( ( ! [SY225: $i] :
( ~ ( incident_c @ SV28 @ SY225 )
| ( incident_c @ ( ax0_sk5 @ SY225 @ SV76 @ SV28 ) @ SV76 )
| ( meet @ SV28 @ SV76 @ SY225 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(357,plain,
! [SV77: $i,SV29: $i] :
( ( ( incident_c @ SV29 @ SV77 )
= $false )
| ( ( ! [SY226: $i] :
( ~ ( incident_c @ SV29 @ SY226 )
| ( incident_c @ ( ax0_sk5 @ SY226 @ SV77 @ SV29 ) @ SY226 )
| ( meet @ SV29 @ SV77 @ SY226 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(358,plain,
! [SV78: $i,SV30: $i] :
( ( ( incident_c @ SV30 @ SV78 )
= $false )
| ( ( ! [SY227: $i] :
( ~ ( incident_c @ SV30 @ SY227 )
| ~ ( end_point @ ( ax0_sk5 @ SY227 @ SV78 @ SV30 ) @ SV78 )
| ~ ( end_point @ ( ax0_sk5 @ SY227 @ SV78 @ SV30 ) @ SY227 )
| ( meet @ SV30 @ SV78 @ SY227 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(359,plain,
! [SV31: $i,SV109: $i] :
( ( ( ~ ( end_point @ SV109 @ SV31 ) )
= $true )
| ( ( closed @ SV31 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(360,plain,
! [SV79: $i,SV34: $i] :
( ( ( end_point @ SV34 @ SV79 )
= $false )
| ( ( open @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(361,plain,
! [SV80: $i,SV35: $i] :
( ( ( part_of @ SV35 @ SV80 )
= $false )
| ( ( ( SV35 = SV80 )
| ( open @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(362,plain,
! [SV104: $i,SV81: $i,SV36: $i] :
( ( ( ~ ( part_of @ SV36 @ SV81 ) )
= $true )
| ( ( ~ ( part_of @ SV104 @ SV81 )
| ! [SY241: $i] :
( ~ ( part_of @ SY241 @ SV81 )
| ! [SY242: $i] :
( ~ ( end_point @ SY242 @ SV36 )
| ~ ( end_point @ SY242 @ SV104 )
| ~ ( end_point @ SY242 @ SY241 )
| ( part_of @ SV104 @ SY241 )
| ( part_of @ SY241 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SY241 )
| ( part_of @ SY241 @ SV36 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(363,plain,
! [SV82: $i,SV38: $i] :
( ( ( inner_point @ SV38 @ SV82 )
= $false )
| ( ( meet @ SV38 @ ( ax0_sk9 @ SV38 @ SV82 ) @ ( ax0_sk10 @ SV38 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(364,plain,
! [SV83: $i,SV39: $i] :
( ( ( inner_point @ SV39 @ SV83 )
= $false )
| ( ( SV83
= ( sum @ ( ax0_sk9 @ SV39 @ SV83 ) @ ( ax0_sk10 @ SV39 @ SV83 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(365,plain,
! [SV84: $i,SV40: $i] :
( ( ( end_point @ SV40 @ SV84 )
= $false )
| ( ( ! [SY231: $i] :
( ~ ( end_point @ SY231 @ SV84 )
| ! [SY232: $i] :
( ~ ( end_point @ SY232 @ SV84 )
| ( SV40 = SY231 )
| ( SV40 = SY232 )
| ( SY231 = SY232 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(366,plain,
! [SV85: $i,SV41: $i] :
( ( ( end_point @ SV41 @ SV85 )
= $false )
| ( ( end_point @ ( ax0_sk11 @ SV41 @ SV85 ) @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(367,plain,
! [SV86: $i,SV42: $i] :
( ( ( end_point @ SV42 @ SV86 )
= $false )
| ( ( ( SV42
!= ( ax0_sk11 @ SV42 @ SV86 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(368,plain,
! [SV105: $i,SV87: $i,SV43: $i] :
( ( ( ~ ( closed @ SV43 ) )
= $true )
| ( ( ! [SY243: $i] :
( ~ ( meet @ SV87 @ SV105 @ SY243 )
| ( SV43
!= ( sum @ SV105 @ SY243 ) )
| ! [SY244: $i] :
( ~ ( end_point @ SY244 @ SV105 )
| ( meet @ SY244 @ SV105 @ SY243 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(369,plain,
! [SV106: $i,SV88: $i,SV44: $i] :
( ( ( ~ ( meet @ SV44 @ SV88 @ SV106 ) )
= $true )
| ( ( ( ax0_sk12 @ SV106 @ SV88 )
= ( sum @ SV88 @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(370,plain,
! [SV45: $i,SV89: $i] :
( ( ( SV89 = SV45 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV45 @ SV89 ) @ SV45 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV45 @ SV89 ) @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(371,plain,
! [SV90: $i,SV46: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV46 @ SV90 ) @ SV90 ) )
= $true )
| ( ( SV90 = SV46 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV46 @ SV90 ) @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(372,plain,
! [SV91: $i,SV47: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV47 @ SV91 ) @ SV47 )
= $false )
| ( ( ( SV91 = SV47 )
| ( incident_c @ ( ax0_sk13 @ SV47 @ SV91 ) @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(373,plain,
! [SV92: $i,SV48: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV48 @ SV92 ) @ SV48 )
= $false )
| ( ( ~ ( incident_c @ ( ax0_sk13 @ SV48 @ SV92 ) @ SV92 )
| ( SV92 = SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(374,plain,
! [SV49: $i,SV1: $i,SV110: $i] :
( ( ( ~ ( incident_c @ SV110 @ SV1 )
| ( incident_c @ SV110 @ SV49 ) )
= $true )
| ( ( part_of @ SV1 @ SV49 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(375,plain,
! [SV93: $i,SV52: $i,SV4: $i] :
( ( ( SV4
= ( sum @ SV52 @ SV93 ) )
= $false )
| ( ( ! [SY237: $i] :
( ~ ( incident_c @ SY237 @ SV4 )
| ( incident_c @ SY237 @ SV52 )
| ( incident_c @ SY237 @ SV93 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(376,plain,
! [SV107: $i,SV53: $i,SV5: $i] :
( ( ( SV5
= ( sum @ SV53 @ SV107 ) )
= $false )
| ( ( ! [SY208: $i] :
( ~ ( incident_c @ SY208 @ SV53 )
| ( incident_c @ SY208 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(377,plain,
! [SV94: $i,SV54: $i,SV6: $i] :
( ( ( SV6
= ( sum @ SV54 @ SV94 ) )
= $false )
| ( ( ! [SY238: $i] :
( ~ ( incident_c @ SY238 @ SV94 )
| ( incident_c @ SY238 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(378,plain,
! [SV95: $i,SV55: $i,SV7: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV55 )
= $true )
| ( ( ( SV95
= ( sum @ SV55 @ SV7 ) )
| ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV7 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(379,plain,
! [SV96: $i,SV56: $i,SV8: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV8 @ SV56 @ SV96 ) @ SV96 ) )
= $true )
| ( ( SV96
= ( sum @ SV56 @ SV8 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV56 @ SV96 ) @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(380,plain,
! [SV97: $i,SV57: $i,SV9: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV57 )
= $false )
| ( ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV57 )
| ( SV97
= ( sum @ SV57 @ SV9 ) )
| ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(381,plain,
! [SV98: $i,SV58: $i,SV10: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV10 )
= $false )
| ( ( ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV58 )
| ( SV98
= ( sum @ SV58 @ SV10 ) )
| ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(382,plain,
! [SV99: $i,SV59: $i,SV11: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SV99 ) @ SV59 )
= $false )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SV99 ) @ SV99 )
| ( SV99
= ( sum @ SV59 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(383,plain,
! [SV100: $i,SV60: $i,SV12: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SV100 ) @ SV12 )
= $false )
| ( ( ~ ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SV100 ) @ SV100 )
| ( SV100
= ( sum @ SV60 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(384,plain,
! [SV14: $i,SV62: $i,SV111: $i] :
( ( ( ~ ( part_of @ SV111 @ SV62 )
| ! [SY245: $i] :
( ~ ( part_of @ SY245 @ SV62 )
| ~ ( incident_c @ SV14 @ SV111 )
| ~ ( incident_c @ SV14 @ SY245 )
| ( part_of @ SV111 @ SY245 )
| ( part_of @ SY245 @ SV111 ) ) )
= $true )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(385,plain,
! [SV63: $i,SV15: $i] :
( ( ( end_point @ SV15 @ SV63 )
= $true )
| ( ( part_of @ ( ax0_sk3 @ SV63 @ SV15 ) @ SV63 )
= $true )
| ( ( incident_c @ SV15 @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(386,plain,
! [SV64: $i,SV16: $i] :
( ( ( end_point @ SV16 @ SV64 )
= $true )
| ( ( part_of @ ( ax0_sk4 @ SV64 @ SV16 ) @ SV64 )
= $true )
| ( ( incident_c @ SV16 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(387,plain,
! [SV65: $i,SV17: $i] :
( ( ( end_point @ SV17 @ SV65 )
= $true )
| ( ( incident_c @ SV17 @ ( ax0_sk3 @ SV65 @ SV17 ) )
= $true )
| ( ( incident_c @ SV17 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(388,plain,
! [SV66: $i,SV18: $i] :
( ( ( end_point @ SV18 @ SV66 )
= $true )
| ( ( incident_c @ SV18 @ ( ax0_sk4 @ SV66 @ SV18 ) )
= $true )
| ( ( incident_c @ SV18 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(389,plain,
! [SV19: $i,SV67: $i] :
( ( ( ~ ( part_of @ ( ax0_sk3 @ SV67 @ SV19 ) @ ( ax0_sk4 @ SV67 @ SV19 ) ) )
= $true )
| ( ( end_point @ SV19 @ SV67 )
= $true )
| ( ( incident_c @ SV19 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(390,plain,
! [SV20: $i,SV68: $i] :
( ( ( ~ ( part_of @ ( ax0_sk4 @ SV68 @ SV20 ) @ ( ax0_sk3 @ SV68 @ SV20 ) ) )
= $true )
| ( ( end_point @ SV20 @ SV68 )
= $true )
| ( ( incident_c @ SV20 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(391,plain,
! [SV70: $i,SV22: $i] :
( ( ( end_point @ SV22 @ SV70 )
= $false )
| ( ( inner_point @ SV22 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(392,plain,
! [SV71: $i,SV23: $i] :
( ( ( end_point @ SV23 @ SV71 )
= $true )
| ( ( inner_point @ SV23 @ SV71 )
= $true )
| ( ( incident_c @ SV23 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(393,plain,
! [SV108: $i,SV72: $i,SV24: $i] :
( ( ( meet @ SV24 @ SV72 @ SV108 )
= $false )
| ( ( incident_c @ SV24 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(394,plain,
! [SV101: $i,SV73: $i,SV25: $i] :
( ( ( meet @ SV25 @ SV73 @ SV101 )
= $false )
| ( ( incident_c @ SV25 @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(395,plain,
! [SV102: $i,SV74: $i,SV26: $i] :
( ( ( meet @ SV26 @ SV74 @ SV102 )
= $false )
| ( ( ! [SY239: $i] :
( ~ ( incident_c @ SY239 @ SV74 )
| ~ ( incident_c @ SY239 @ SV102 )
| ( end_point @ SY239 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(396,plain,
! [SV103: $i,SV75: $i,SV27: $i] :
( ( ( meet @ SV27 @ SV75 @ SV103 )
= $false )
| ( ( ! [SY240: $i] :
( ~ ( incident_c @ SY240 @ SV75 )
| ~ ( incident_c @ SY240 @ SV103 )
| ( end_point @ SY240 @ SV103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(397,plain,
! [SV76: $i,SV112: $i,SV28: $i] :
( ( ( ~ ( incident_c @ SV28 @ SV112 )
| ( incident_c @ ( ax0_sk5 @ SV112 @ SV76 @ SV28 ) @ SV76 )
| ( meet @ SV28 @ SV76 @ SV112 ) )
= $true )
| ( ( incident_c @ SV28 @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(398,plain,
! [SV77: $i,SV113: $i,SV29: $i] :
( ( ( ~ ( incident_c @ SV29 @ SV113 )
| ( incident_c @ ( ax0_sk5 @ SV113 @ SV77 @ SV29 ) @ SV113 )
| ( meet @ SV29 @ SV77 @ SV113 ) )
= $true )
| ( ( incident_c @ SV29 @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(399,plain,
! [SV78: $i,SV114: $i,SV30: $i] :
( ( ( ~ ( incident_c @ SV30 @ SV114 )
| ~ ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV78 )
| ~ ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV114 )
| ( meet @ SV30 @ SV78 @ SV114 ) )
= $true )
| ( ( incident_c @ SV30 @ SV78 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(400,plain,
! [SV31: $i,SV109: $i] :
( ( ( end_point @ SV109 @ SV31 )
= $false )
| ( ( closed @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(401,plain,
! [SV80: $i,SV35: $i] :
( ( ( SV35 = SV80 )
= $true )
| ( ( open @ SV35 )
= $true )
| ( ( part_of @ SV35 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(402,plain,
! [SV104: $i,SV81: $i,SV36: $i] :
( ( ( part_of @ SV36 @ SV81 )
= $false )
| ( ( ~ ( part_of @ SV104 @ SV81 )
| ! [SY241: $i] :
( ~ ( part_of @ SY241 @ SV81 )
| ! [SY242: $i] :
( ~ ( end_point @ SY242 @ SV36 )
| ~ ( end_point @ SY242 @ SV104 )
| ~ ( end_point @ SY242 @ SY241 )
| ( part_of @ SV104 @ SY241 )
| ( part_of @ SY241 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SY241 )
| ( part_of @ SY241 @ SV36 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(403,plain,
! [SV40: $i,SV84: $i,SV115: $i] :
( ( ( ~ ( end_point @ SV115 @ SV84 )
| ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV84 )
| ( SV40 = SV115 )
| ( SV40 = SY246 )
| ( SV115 = SY246 ) ) )
= $true )
| ( ( end_point @ SV40 @ SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(404,plain,
! [SV86: $i,SV42: $i] :
( ( ( SV42
= ( ax0_sk11 @ SV42 @ SV86 ) )
= $false )
| ( ( end_point @ SV42 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(405,plain,
! [SV105: $i,SV87: $i,SV43: $i] :
( ( ( closed @ SV43 )
= $false )
| ( ( ! [SY243: $i] :
( ~ ( meet @ SV87 @ SV105 @ SY243 )
| ( SV43
!= ( sum @ SV105 @ SY243 ) )
| ! [SY244: $i] :
( ~ ( end_point @ SY244 @ SV105 )
| ( meet @ SY244 @ SV105 @ SY243 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(406,plain,
! [SV106: $i,SV88: $i,SV44: $i] :
( ( ( meet @ SV44 @ SV88 @ SV106 )
= $false )
| ( ( ( ax0_sk12 @ SV106 @ SV88 )
= ( sum @ SV88 @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(407,plain,
! [SV90: $i,SV46: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV46 @ SV90 ) @ SV90 )
= $false )
| ( ( SV90 = SV46 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV46 @ SV90 ) @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(408,plain,
! [SV47: $i,SV91: $i] :
( ( ( SV91 = SV47 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV47 @ SV91 ) @ SV47 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV47 @ SV91 ) @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(409,plain,
! [SV92: $i,SV48: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk13 @ SV48 @ SV92 ) @ SV92 ) )
= $true )
| ( ( SV92 = SV48 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV48 @ SV92 ) @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(410,plain,
! [SV49: $i,SV1: $i,SV110: $i] :
( ( ( ~ ( incident_c @ SV110 @ SV1 ) )
= $true )
| ( ( incident_c @ SV110 @ SV49 )
= $true )
| ( ( part_of @ SV1 @ SV49 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(411,plain,
! [SV93: $i,SV52: $i,SV4: $i,SV116: $i] :
( ( ( ~ ( incident_c @ SV116 @ SV4 )
| ( incident_c @ SV116 @ SV52 )
| ( incident_c @ SV116 @ SV93 ) )
= $true )
| ( ( SV4
= ( sum @ SV52 @ SV93 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(412,plain,
! [SV107: $i,SV5: $i,SV53: $i,SV117: $i] :
( ( ( ~ ( incident_c @ SV117 @ SV53 )
| ( incident_c @ SV117 @ SV5 ) )
= $true )
| ( ( SV5
= ( sum @ SV53 @ SV107 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(413,plain,
! [SV54: $i,SV6: $i,SV94: $i,SV118: $i] :
( ( ( ~ ( incident_c @ SV118 @ SV94 )
| ( incident_c @ SV118 @ SV6 ) )
= $true )
| ( ( SV6
= ( sum @ SV54 @ SV94 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(414,plain,
! [SV7: $i,SV55: $i,SV95: $i] :
( ( ( SV95
= ( sum @ SV55 @ SV7 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV7 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV55 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV7 @ SV55 @ SV95 ) @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(415,plain,
! [SV96: $i,SV56: $i,SV8: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV56 @ SV96 ) @ SV96 )
= $false )
| ( ( SV96
= ( sum @ SV56 @ SV8 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV8 @ SV56 @ SV96 ) @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(416,plain,
! [SV97: $i,SV57: $i,SV9: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV57 )
= $true )
| ( ( ( SV97
= ( sum @ SV57 @ SV9 ) )
| ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV9 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(417,plain,
! [SV98: $i,SV58: $i,SV10: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV58 )
= $true )
| ( ( ( SV98
= ( sum @ SV58 @ SV10 ) )
| ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV10 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(418,plain,
! [SV99: $i,SV59: $i,SV11: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SV99 ) @ SV99 ) )
= $true )
| ( ( SV99
= ( sum @ SV59 @ SV11 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SV99 ) @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(419,plain,
! [SV100: $i,SV60: $i,SV12: $i] :
( ( ( ~ ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SV100 ) @ SV100 ) )
= $true )
| ( ( SV100
= ( sum @ SV60 @ SV12 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SV100 ) @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(420,plain,
! [SV14: $i,SV62: $i,SV111: $i] :
( ( ( ~ ( part_of @ SV111 @ SV62 ) )
= $true )
| ( ( ! [SY245: $i] :
( ~ ( part_of @ SY245 @ SV62 )
| ~ ( incident_c @ SV14 @ SV111 )
| ~ ( incident_c @ SV14 @ SY245 )
| ( part_of @ SV111 @ SY245 )
| ( part_of @ SY245 @ SV111 ) ) )
= $true )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(421,plain,
! [SV19: $i,SV67: $i] :
( ( ( part_of @ ( ax0_sk3 @ SV67 @ SV19 ) @ ( ax0_sk4 @ SV67 @ SV19 ) )
= $false )
| ( ( end_point @ SV19 @ SV67 )
= $true )
| ( ( incident_c @ SV19 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(422,plain,
! [SV20: $i,SV68: $i] :
( ( ( part_of @ ( ax0_sk4 @ SV68 @ SV20 ) @ ( ax0_sk3 @ SV68 @ SV20 ) )
= $false )
| ( ( end_point @ SV20 @ SV68 )
= $true )
| ( ( incident_c @ SV20 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(423,plain,
! [SV26: $i,SV102: $i,SV74: $i,SV119: $i] :
( ( ( ~ ( incident_c @ SV119 @ SV74 )
| ~ ( incident_c @ SV119 @ SV102 )
| ( end_point @ SV119 @ SV74 ) )
= $true )
| ( ( meet @ SV26 @ SV74 @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(424,plain,
! [SV27: $i,SV103: $i,SV75: $i,SV120: $i] :
( ( ( ~ ( incident_c @ SV120 @ SV75 )
| ~ ( incident_c @ SV120 @ SV103 )
| ( end_point @ SV120 @ SV103 ) )
= $true )
| ( ( meet @ SV27 @ SV75 @ SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(425,plain,
! [SV76: $i,SV112: $i,SV28: $i] :
( ( ( ~ ( incident_c @ SV28 @ SV112 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk5 @ SV112 @ SV76 @ SV28 ) @ SV76 )
| ( meet @ SV28 @ SV76 @ SV112 ) )
= $true )
| ( ( incident_c @ SV28 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(426,plain,
! [SV77: $i,SV113: $i,SV29: $i] :
( ( ( ~ ( incident_c @ SV29 @ SV113 ) )
= $true )
| ( ( ( incident_c @ ( ax0_sk5 @ SV113 @ SV77 @ SV29 ) @ SV113 )
| ( meet @ SV29 @ SV77 @ SV113 ) )
= $true )
| ( ( incident_c @ SV29 @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(427,plain,
! [SV78: $i,SV114: $i,SV30: $i] :
( ( ( ~ ( incident_c @ SV30 @ SV114 ) )
= $true )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV78 )
| ~ ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV114 )
| ( meet @ SV30 @ SV78 @ SV114 ) )
= $true )
| ( ( incident_c @ SV30 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(428,plain,
! [SV36: $i,SV81: $i,SV104: $i] :
( ( ( ~ ( part_of @ SV104 @ SV81 ) )
= $true )
| ( ( ! [SY241: $i] :
( ~ ( part_of @ SY241 @ SV81 )
| ! [SY242: $i] :
( ~ ( end_point @ SY242 @ SV36 )
| ~ ( end_point @ SY242 @ SV104 )
| ~ ( end_point @ SY242 @ SY241 )
| ( part_of @ SV104 @ SY241 )
| ( part_of @ SY241 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SY241 )
| ( part_of @ SY241 @ SV36 ) ) ) )
= $true )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(429,plain,
! [SV40: $i,SV84: $i,SV115: $i] :
( ( ( ~ ( end_point @ SV115 @ SV84 ) )
= $true )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV84 )
| ( SV40 = SV115 )
| ( SV40 = SY246 )
| ( SV115 = SY246 ) ) )
= $true )
| ( ( end_point @ SV40 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(430,plain,
! [SV43: $i,SV121: $i,SV105: $i,SV87: $i] :
( ( ( ~ ( meet @ SV87 @ SV105 @ SV121 )
| ( SV43
!= ( sum @ SV105 @ SV121 ) )
| ! [SY247: $i] :
( ~ ( end_point @ SY247 @ SV105 )
| ( meet @ SY247 @ SV105 @ SV121 ) ) )
= $true )
| ( ( closed @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(431,plain,
! [SV92: $i,SV48: $i] :
( ( ( incident_c @ ( ax0_sk13 @ SV48 @ SV92 ) @ SV92 )
= $false )
| ( ( SV92 = SV48 )
= $true )
| ( ( incident_c @ ( ax0_sk13 @ SV48 @ SV92 ) @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(432,plain,
! [SV49: $i,SV1: $i,SV110: $i] :
( ( ( incident_c @ SV110 @ SV1 )
= $false )
| ( ( incident_c @ SV110 @ SV49 )
= $true )
| ( ( part_of @ SV1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(433,plain,
! [SV93: $i,SV52: $i,SV4: $i,SV116: $i] :
( ( ( ~ ( incident_c @ SV116 @ SV4 ) )
= $true )
| ( ( ( incident_c @ SV116 @ SV52 )
| ( incident_c @ SV116 @ SV93 ) )
= $true )
| ( ( SV4
= ( sum @ SV52 @ SV93 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(434,plain,
! [SV107: $i,SV5: $i,SV53: $i,SV117: $i] :
( ( ( ~ ( incident_c @ SV117 @ SV53 ) )
= $true )
| ( ( incident_c @ SV117 @ SV5 )
= $true )
| ( ( SV5
= ( sum @ SV53 @ SV107 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(435,plain,
! [SV54: $i,SV6: $i,SV94: $i,SV118: $i] :
( ( ( ~ ( incident_c @ SV118 @ SV94 ) )
= $true )
| ( ( incident_c @ SV118 @ SV6 )
= $true )
| ( ( SV6
= ( sum @ SV54 @ SV94 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(436,plain,
! [SV9: $i,SV57: $i,SV97: $i] :
( ( ( SV97
= ( sum @ SV57 @ SV9 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV9 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV57 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV9 @ SV57 @ SV97 ) @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(437,plain,
! [SV10: $i,SV58: $i,SV98: $i] :
( ( ( SV98
= ( sum @ SV58 @ SV10 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV10 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV58 )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV10 @ SV58 @ SV98 ) @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(438,plain,
! [SV99: $i,SV59: $i,SV11: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SV99 ) @ SV99 )
= $false )
| ( ( SV99
= ( sum @ SV59 @ SV11 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV11 @ SV59 @ SV99 ) @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(439,plain,
! [SV100: $i,SV60: $i,SV12: $i] :
( ( ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SV100 ) @ SV100 )
= $false )
| ( ( SV100
= ( sum @ SV60 @ SV12 ) )
= $true )
| ( ( incident_c @ ( ax0_sk2 @ SV12 @ SV60 @ SV100 ) @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(440,plain,
! [SV14: $i,SV62: $i,SV111: $i] :
( ( ( part_of @ SV111 @ SV62 )
= $false )
| ( ( ! [SY245: $i] :
( ~ ( part_of @ SY245 @ SV62 )
| ~ ( incident_c @ SV14 @ SV111 )
| ~ ( incident_c @ SV14 @ SY245 )
| ( part_of @ SV111 @ SY245 )
| ( part_of @ SY245 @ SV111 ) ) )
= $true )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(441,plain,
! [SV26: $i,SV102: $i,SV74: $i,SV119: $i] :
( ( ( ~ ( incident_c @ SV119 @ SV74 ) )
= $true )
| ( ( ~ ( incident_c @ SV119 @ SV102 )
| ( end_point @ SV119 @ SV74 ) )
= $true )
| ( ( meet @ SV26 @ SV74 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(442,plain,
! [SV27: $i,SV103: $i,SV75: $i,SV120: $i] :
( ( ( ~ ( incident_c @ SV120 @ SV75 ) )
= $true )
| ( ( ~ ( incident_c @ SV120 @ SV103 )
| ( end_point @ SV120 @ SV103 ) )
= $true )
| ( ( meet @ SV27 @ SV75 @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(443,plain,
! [SV76: $i,SV112: $i,SV28: $i] :
( ( ( incident_c @ SV28 @ SV112 )
= $false )
| ( ( ( incident_c @ ( ax0_sk5 @ SV112 @ SV76 @ SV28 ) @ SV76 )
| ( meet @ SV28 @ SV76 @ SV112 ) )
= $true )
| ( ( incident_c @ SV28 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(444,plain,
! [SV77: $i,SV113: $i,SV29: $i] :
( ( ( incident_c @ SV29 @ SV113 )
= $false )
| ( ( ( incident_c @ ( ax0_sk5 @ SV113 @ SV77 @ SV29 ) @ SV113 )
| ( meet @ SV29 @ SV77 @ SV113 ) )
= $true )
| ( ( incident_c @ SV29 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(445,plain,
! [SV78: $i,SV114: $i,SV30: $i] :
( ( ( incident_c @ SV30 @ SV114 )
= $false )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV78 )
| ~ ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV114 )
| ( meet @ SV30 @ SV78 @ SV114 ) )
= $true )
| ( ( incident_c @ SV30 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(446,plain,
! [SV36: $i,SV81: $i,SV104: $i] :
( ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( ! [SY241: $i] :
( ~ ( part_of @ SY241 @ SV81 )
| ! [SY242: $i] :
( ~ ( end_point @ SY242 @ SV36 )
| ~ ( end_point @ SY242 @ SV104 )
| ~ ( end_point @ SY242 @ SY241 )
| ( part_of @ SV104 @ SY241 )
| ( part_of @ SY241 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SY241 )
| ( part_of @ SY241 @ SV36 ) ) ) )
= $true )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(447,plain,
! [SV40: $i,SV84: $i,SV115: $i] :
( ( ( end_point @ SV115 @ SV84 )
= $false )
| ( ( ! [SY246: $i] :
( ~ ( end_point @ SY246 @ SV84 )
| ( SV40 = SV115 )
| ( SV40 = SY246 )
| ( SV115 = SY246 ) ) )
= $true )
| ( ( end_point @ SV40 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(448,plain,
! [SV43: $i,SV121: $i,SV105: $i,SV87: $i] :
( ( ( ~ ( meet @ SV87 @ SV105 @ SV121 ) )
= $true )
| ( ( ( SV43
!= ( sum @ SV105 @ SV121 ) )
| ! [SY247: $i] :
( ~ ( end_point @ SY247 @ SV105 )
| ( meet @ SY247 @ SV105 @ SV121 ) ) )
= $true )
| ( ( closed @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(449,plain,
! [SV93: $i,SV52: $i,SV4: $i,SV116: $i] :
( ( ( incident_c @ SV116 @ SV4 )
= $false )
| ( ( ( incident_c @ SV116 @ SV52 )
| ( incident_c @ SV116 @ SV93 ) )
= $true )
| ( ( SV4
= ( sum @ SV52 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(450,plain,
! [SV107: $i,SV5: $i,SV53: $i,SV117: $i] :
( ( ( incident_c @ SV117 @ SV53 )
= $false )
| ( ( incident_c @ SV117 @ SV5 )
= $true )
| ( ( SV5
= ( sum @ SV53 @ SV107 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(451,plain,
! [SV54: $i,SV6: $i,SV94: $i,SV118: $i] :
( ( ( incident_c @ SV118 @ SV94 )
= $false )
| ( ( incident_c @ SV118 @ SV6 )
= $true )
| ( ( SV6
= ( sum @ SV54 @ SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(452,plain,
! [SV111: $i,SV14: $i,SV62: $i,SV122: $i] :
( ( ( ~ ( part_of @ SV122 @ SV62 )
| ~ ( incident_c @ SV14 @ SV111 )
| ~ ( incident_c @ SV14 @ SV122 )
| ( part_of @ SV111 @ SV122 )
| ( part_of @ SV122 @ SV111 ) )
= $true )
| ( ( part_of @ SV111 @ SV62 )
= $false )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(453,plain,
! [SV26: $i,SV102: $i,SV74: $i,SV119: $i] :
( ( ( incident_c @ SV119 @ SV74 )
= $false )
| ( ( ~ ( incident_c @ SV119 @ SV102 )
| ( end_point @ SV119 @ SV74 ) )
= $true )
| ( ( meet @ SV26 @ SV74 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(454,plain,
! [SV27: $i,SV103: $i,SV75: $i,SV120: $i] :
( ( ( incident_c @ SV120 @ SV75 )
= $false )
| ( ( ~ ( incident_c @ SV120 @ SV103 )
| ( end_point @ SV120 @ SV103 ) )
= $true )
| ( ( meet @ SV27 @ SV75 @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(455,plain,
! [SV28: $i,SV76: $i,SV112: $i] :
( ( ( incident_c @ ( ax0_sk5 @ SV112 @ SV76 @ SV28 ) @ SV76 )
= $true )
| ( ( meet @ SV28 @ SV76 @ SV112 )
= $true )
| ( ( incident_c @ SV28 @ SV112 )
= $false )
| ( ( incident_c @ SV28 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(456,plain,
! [SV29: $i,SV77: $i,SV113: $i] :
( ( ( incident_c @ ( ax0_sk5 @ SV113 @ SV77 @ SV29 ) @ SV113 )
= $true )
| ( ( meet @ SV29 @ SV77 @ SV113 )
= $true )
| ( ( incident_c @ SV29 @ SV113 )
= $false )
| ( ( incident_c @ SV29 @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(457,plain,
! [SV30: $i,SV78: $i,SV114: $i] :
( ( ( ~ ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV78 ) )
= $true )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV114 )
| ( meet @ SV30 @ SV78 @ SV114 ) )
= $true )
| ( ( incident_c @ SV30 @ SV114 )
= $false )
| ( ( incident_c @ SV30 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(458,plain,
! [SV104: $i,SV36: $i,SV81: $i,SV123: $i] :
( ( ( ~ ( part_of @ SV123 @ SV81 )
| ! [SY248: $i] :
( ~ ( end_point @ SY248 @ SV36 )
| ~ ( end_point @ SY248 @ SV104 )
| ~ ( end_point @ SY248 @ SV123 )
| ( part_of @ SV104 @ SV123 )
| ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) ) )
= $true )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(459,plain,
! [SV115: $i,SV40: $i,SV84: $i,SV124: $i] :
( ( ( ~ ( end_point @ SV124 @ SV84 )
| ( SV40 = SV115 )
| ( SV40 = SV124 )
| ( SV115 = SV124 ) )
= $true )
| ( ( end_point @ SV115 @ SV84 )
= $false )
| ( ( end_point @ SV40 @ SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(460,plain,
! [SV43: $i,SV121: $i,SV105: $i,SV87: $i] :
( ( ( meet @ SV87 @ SV105 @ SV121 )
= $false )
| ( ( ( SV43
!= ( sum @ SV105 @ SV121 ) )
| ! [SY247: $i] :
( ~ ( end_point @ SY247 @ SV105 )
| ( meet @ SY247 @ SV105 @ SV121 ) ) )
= $true )
| ( ( closed @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(461,plain,
! [SV4: $i,SV93: $i,SV52: $i,SV116: $i] :
( ( ( incident_c @ SV116 @ SV52 )
= $true )
| ( ( incident_c @ SV116 @ SV93 )
= $true )
| ( ( incident_c @ SV116 @ SV4 )
= $false )
| ( ( SV4
= ( sum @ SV52 @ SV93 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(462,plain,
! [SV111: $i,SV14: $i,SV62: $i,SV122: $i] :
( ( ( ~ ( part_of @ SV122 @ SV62 ) )
= $true )
| ( ( ~ ( incident_c @ SV14 @ SV111 )
| ~ ( incident_c @ SV14 @ SV122 )
| ( part_of @ SV111 @ SV122 )
| ( part_of @ SV122 @ SV111 ) )
= $true )
| ( ( part_of @ SV111 @ SV62 )
= $false )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(463,plain,
! [SV26: $i,SV74: $i,SV102: $i,SV119: $i] :
( ( ( ~ ( incident_c @ SV119 @ SV102 ) )
= $true )
| ( ( end_point @ SV119 @ SV74 )
= $true )
| ( ( incident_c @ SV119 @ SV74 )
= $false )
| ( ( meet @ SV26 @ SV74 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(464,plain,
! [SV27: $i,SV75: $i,SV103: $i,SV120: $i] :
( ( ( ~ ( incident_c @ SV120 @ SV103 ) )
= $true )
| ( ( end_point @ SV120 @ SV103 )
= $true )
| ( ( incident_c @ SV120 @ SV75 )
= $false )
| ( ( meet @ SV27 @ SV75 @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(465,plain,
! [SV30: $i,SV78: $i,SV114: $i] :
( ( ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV78 )
= $false )
| ( ( ~ ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV114 )
| ( meet @ SV30 @ SV78 @ SV114 ) )
= $true )
| ( ( incident_c @ SV30 @ SV114 )
= $false )
| ( ( incident_c @ SV30 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(466,plain,
! [SV104: $i,SV36: $i,SV81: $i,SV123: $i] :
( ( ( ~ ( part_of @ SV123 @ SV81 ) )
= $true )
| ( ( ! [SY248: $i] :
( ~ ( end_point @ SY248 @ SV36 )
| ~ ( end_point @ SY248 @ SV104 )
| ~ ( end_point @ SY248 @ SV123 )
| ( part_of @ SV104 @ SV123 )
| ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) ) )
= $true )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(467,plain,
! [SV115: $i,SV40: $i,SV84: $i,SV124: $i] :
( ( ( ~ ( end_point @ SV124 @ SV84 ) )
= $true )
| ( ( ( SV40 = SV115 )
| ( SV40 = SV124 )
| ( SV115 = SV124 ) )
= $true )
| ( ( end_point @ SV115 @ SV84 )
= $false )
| ( ( end_point @ SV40 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(468,plain,
! [SV87: $i,SV121: $i,SV105: $i,SV43: $i] :
( ( ( ( SV43
!= ( sum @ SV105 @ SV121 ) ) )
= $true )
| ( ( ! [SY247: $i] :
( ~ ( end_point @ SY247 @ SV105 )
| ( meet @ SY247 @ SV105 @ SV121 ) ) )
= $true )
| ( ( meet @ SV87 @ SV105 @ SV121 )
= $false )
| ( ( closed @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(469,plain,
! [SV111: $i,SV14: $i,SV62: $i,SV122: $i] :
( ( ( part_of @ SV122 @ SV62 )
= $false )
| ( ( ~ ( incident_c @ SV14 @ SV111 )
| ~ ( incident_c @ SV14 @ SV122 )
| ( part_of @ SV111 @ SV122 )
| ( part_of @ SV122 @ SV111 ) )
= $true )
| ( ( part_of @ SV111 @ SV62 )
= $false )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(470,plain,
! [SV26: $i,SV74: $i,SV102: $i,SV119: $i] :
( ( ( incident_c @ SV119 @ SV102 )
= $false )
| ( ( end_point @ SV119 @ SV74 )
= $true )
| ( ( incident_c @ SV119 @ SV74 )
= $false )
| ( ( meet @ SV26 @ SV74 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(471,plain,
! [SV27: $i,SV75: $i,SV103: $i,SV120: $i] :
( ( ( incident_c @ SV120 @ SV103 )
= $false )
| ( ( end_point @ SV120 @ SV103 )
= $true )
| ( ( incident_c @ SV120 @ SV75 )
= $false )
| ( ( meet @ SV27 @ SV75 @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(472,plain,
! [SV30: $i,SV78: $i,SV114: $i] :
( ( ( ~ ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV114 ) )
= $true )
| ( ( meet @ SV30 @ SV78 @ SV114 )
= $true )
| ( ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV78 )
= $false )
| ( ( incident_c @ SV30 @ SV114 )
= $false )
| ( ( incident_c @ SV30 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(473,plain,
! [SV104: $i,SV36: $i,SV81: $i,SV123: $i] :
( ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( ! [SY248: $i] :
( ~ ( end_point @ SY248 @ SV36 )
| ~ ( end_point @ SY248 @ SV104 )
| ~ ( end_point @ SY248 @ SV123 )
| ( part_of @ SV104 @ SV123 )
| ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) ) )
= $true )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(474,plain,
! [SV115: $i,SV40: $i,SV84: $i,SV124: $i] :
( ( ( end_point @ SV124 @ SV84 )
= $false )
| ( ( ( SV40 = SV115 )
| ( SV40 = SV124 )
| ( SV115 = SV124 ) )
= $true )
| ( ( end_point @ SV115 @ SV84 )
= $false )
| ( ( end_point @ SV40 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(475,plain,
! [SV87: $i,SV121: $i,SV105: $i,SV43: $i] :
( ( ( SV43
= ( sum @ SV105 @ SV121 ) )
= $false )
| ( ( ! [SY247: $i] :
( ~ ( end_point @ SY247 @ SV105 )
| ( meet @ SY247 @ SV105 @ SV121 ) ) )
= $true )
| ( ( meet @ SV87 @ SV105 @ SV121 )
= $false )
| ( ( closed @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(476,plain,
! [SV62: $i,SV122: $i,SV111: $i,SV14: $i] :
( ( ( ~ ( incident_c @ SV14 @ SV111 ) )
= $true )
| ( ( ~ ( incident_c @ SV14 @ SV122 )
| ( part_of @ SV111 @ SV122 )
| ( part_of @ SV122 @ SV111 ) )
= $true )
| ( ( part_of @ SV122 @ SV62 )
= $false )
| ( ( part_of @ SV111 @ SV62 )
= $false )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(477,plain,
! [SV30: $i,SV78: $i,SV114: $i] :
( ( ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV114 )
= $false )
| ( ( meet @ SV30 @ SV78 @ SV114 )
= $true )
| ( ( end_point @ ( ax0_sk5 @ SV114 @ SV78 @ SV30 ) @ SV78 )
= $false )
| ( ( incident_c @ SV30 @ SV114 )
= $false )
| ( ( incident_c @ SV30 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(478,plain,
! [SV81: $i,SV123: $i,SV104: $i,SV36: $i,SV125: $i] :
( ( ( ~ ( end_point @ SV125 @ SV36 )
| ~ ( end_point @ SV125 @ SV104 )
| ~ ( end_point @ SV125 @ SV123 )
| ( part_of @ SV104 @ SV123 )
| ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(479,plain,
! [SV84: $i,SV124: $i,SV115: $i,SV40: $i] :
( ( ( SV40 = SV115 )
= $true )
| ( ( ( SV40 = SV124 )
| ( SV115 = SV124 ) )
= $true )
| ( ( end_point @ SV124 @ SV84 )
= $false )
| ( ( end_point @ SV115 @ SV84 )
= $false )
| ( ( end_point @ SV40 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(480,plain,
! [SV87: $i,SV43: $i,SV121: $i,SV105: $i,SV126: $i] :
( ( ( ~ ( end_point @ SV126 @ SV105 )
| ( meet @ SV126 @ SV105 @ SV121 ) )
= $true )
| ( ( SV43
= ( sum @ SV105 @ SV121 ) )
= $false )
| ( ( meet @ SV87 @ SV105 @ SV121 )
= $false )
| ( ( closed @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(481,plain,
! [SV62: $i,SV122: $i,SV111: $i,SV14: $i] :
( ( ( incident_c @ SV14 @ SV111 )
= $false )
| ( ( ~ ( incident_c @ SV14 @ SV122 )
| ( part_of @ SV111 @ SV122 )
| ( part_of @ SV122 @ SV111 ) )
= $true )
| ( ( part_of @ SV122 @ SV62 )
= $false )
| ( ( part_of @ SV111 @ SV62 )
= $false )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(482,plain,
! [SV81: $i,SV123: $i,SV104: $i,SV36: $i,SV125: $i] :
( ( ( ~ ( end_point @ SV125 @ SV36 ) )
= $true )
| ( ( ~ ( end_point @ SV125 @ SV104 )
| ~ ( end_point @ SV125 @ SV123 )
| ( part_of @ SV104 @ SV123 )
| ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(483,plain,
! [SV84: $i,SV115: $i,SV124: $i,SV40: $i] :
( ( ( SV40 = SV124 )
= $true )
| ( ( SV115 = SV124 )
= $true )
| ( ( SV40 = SV115 )
= $true )
| ( ( end_point @ SV124 @ SV84 )
= $false )
| ( ( end_point @ SV115 @ SV84 )
= $false )
| ( ( end_point @ SV40 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(484,plain,
! [SV87: $i,SV43: $i,SV121: $i,SV105: $i,SV126: $i] :
( ( ( ~ ( end_point @ SV126 @ SV105 ) )
= $true )
| ( ( meet @ SV126 @ SV105 @ SV121 )
= $true )
| ( ( SV43
= ( sum @ SV105 @ SV121 ) )
= $false )
| ( ( meet @ SV87 @ SV105 @ SV121 )
= $false )
| ( ( closed @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(485,plain,
! [SV62: $i,SV111: $i,SV122: $i,SV14: $i] :
( ( ( ~ ( incident_c @ SV14 @ SV122 ) )
= $true )
| ( ( ( part_of @ SV111 @ SV122 )
| ( part_of @ SV122 @ SV111 ) )
= $true )
| ( ( incident_c @ SV14 @ SV111 )
= $false )
| ( ( part_of @ SV122 @ SV62 )
= $false )
| ( ( part_of @ SV111 @ SV62 )
= $false )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(486,plain,
! [SV81: $i,SV123: $i,SV104: $i,SV36: $i,SV125: $i] :
( ( ( end_point @ SV125 @ SV36 )
= $false )
| ( ( ~ ( end_point @ SV125 @ SV104 )
| ~ ( end_point @ SV125 @ SV123 )
| ( part_of @ SV104 @ SV123 )
| ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(487,plain,
! [SV87: $i,SV43: $i,SV121: $i,SV105: $i,SV126: $i] :
( ( ( end_point @ SV126 @ SV105 )
= $false )
| ( ( meet @ SV126 @ SV105 @ SV121 )
= $true )
| ( ( SV43
= ( sum @ SV105 @ SV121 ) )
= $false )
| ( ( meet @ SV87 @ SV105 @ SV121 )
= $false )
| ( ( closed @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(488,plain,
! [SV62: $i,SV111: $i,SV122: $i,SV14: $i] :
( ( ( incident_c @ SV14 @ SV122 )
= $false )
| ( ( ( part_of @ SV111 @ SV122 )
| ( part_of @ SV122 @ SV111 ) )
= $true )
| ( ( incident_c @ SV14 @ SV111 )
= $false )
| ( ( part_of @ SV122 @ SV62 )
= $false )
| ( ( part_of @ SV111 @ SV62 )
= $false )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(489,plain,
! [SV81: $i,SV36: $i,SV123: $i,SV104: $i,SV125: $i] :
( ( ( ~ ( end_point @ SV125 @ SV104 ) )
= $true )
| ( ( ~ ( end_point @ SV125 @ SV123 )
| ( part_of @ SV104 @ SV123 )
| ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( end_point @ SV125 @ SV36 )
= $false )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(490,plain,
! [SV62: $i,SV14: $i,SV122: $i,SV111: $i] :
( ( ( part_of @ SV111 @ SV122 )
= $true )
| ( ( part_of @ SV122 @ SV111 )
= $true )
| ( ( incident_c @ SV14 @ SV122 )
= $false )
| ( ( incident_c @ SV14 @ SV111 )
= $false )
| ( ( part_of @ SV122 @ SV62 )
= $false )
| ( ( part_of @ SV111 @ SV62 )
= $false )
| ( ( end_point @ SV14 @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(491,plain,
! [SV81: $i,SV36: $i,SV123: $i,SV104: $i,SV125: $i] :
( ( ( end_point @ SV125 @ SV104 )
= $false )
| ( ( ~ ( end_point @ SV125 @ SV123 )
| ( part_of @ SV104 @ SV123 )
| ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( end_point @ SV125 @ SV36 )
= $false )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(492,plain,
! [SV81: $i,SV36: $i,SV104: $i,SV123: $i,SV125: $i] :
( ( ( ~ ( end_point @ SV125 @ SV123 ) )
= $true )
| ( ( ( part_of @ SV104 @ SV123 )
| ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( end_point @ SV125 @ SV104 )
= $false )
| ( ( end_point @ SV125 @ SV36 )
= $false )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(493,plain,
! [SV81: $i,SV36: $i,SV104: $i,SV123: $i,SV125: $i] :
( ( ( end_point @ SV125 @ SV123 )
= $false )
| ( ( ( part_of @ SV104 @ SV123 )
| ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( end_point @ SV125 @ SV104 )
= $false )
| ( ( end_point @ SV125 @ SV36 )
= $false )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(494,plain,
! [SV81: $i,SV125: $i,SV36: $i,SV123: $i,SV104: $i] :
( ( ( part_of @ SV104 @ SV123 )
= $true )
| ( ( ( part_of @ SV123 @ SV104 )
| ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( end_point @ SV125 @ SV123 )
= $false )
| ( ( end_point @ SV125 @ SV104 )
= $false )
| ( ( end_point @ SV125 @ SV36 )
= $false )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(495,plain,
! [SV81: $i,SV125: $i,SV36: $i,SV104: $i,SV123: $i] :
( ( ( part_of @ SV123 @ SV104 )
= $true )
| ( ( ( part_of @ SV36 @ SV104 )
| ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( part_of @ SV104 @ SV123 )
= $true )
| ( ( end_point @ SV125 @ SV123 )
= $false )
| ( ( end_point @ SV125 @ SV104 )
= $false )
| ( ( end_point @ SV125 @ SV36 )
= $false )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(496,plain,
! [SV81: $i,SV125: $i,SV123: $i,SV104: $i,SV36: $i] :
( ( ( part_of @ SV36 @ SV104 )
= $true )
| ( ( ( part_of @ SV104 @ SV36 )
| ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( part_of @ SV123 @ SV104 )
= $true )
| ( ( part_of @ SV104 @ SV123 )
= $true )
| ( ( end_point @ SV125 @ SV123 )
= $false )
| ( ( end_point @ SV125 @ SV104 )
= $false )
| ( ( end_point @ SV125 @ SV36 )
= $false )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(497,plain,
! [SV81: $i,SV125: $i,SV123: $i,SV36: $i,SV104: $i] :
( ( ( part_of @ SV104 @ SV36 )
= $true )
| ( ( ( part_of @ SV36 @ SV123 )
| ( part_of @ SV123 @ SV36 ) )
= $true )
| ( ( part_of @ SV36 @ SV104 )
= $true )
| ( ( part_of @ SV123 @ SV104 )
= $true )
| ( ( part_of @ SV104 @ SV123 )
= $true )
| ( ( end_point @ SV125 @ SV123 )
= $false )
| ( ( end_point @ SV125 @ SV104 )
= $false )
| ( ( end_point @ SV125 @ SV36 )
= $false )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(498,plain,
! [SV81: $i,SV125: $i,SV104: $i,SV123: $i,SV36: $i] :
( ( ( part_of @ SV36 @ SV123 )
= $true )
| ( ( part_of @ SV123 @ SV36 )
= $true )
| ( ( part_of @ SV104 @ SV36 )
= $true )
| ( ( part_of @ SV36 @ SV104 )
= $true )
| ( ( part_of @ SV123 @ SV104 )
= $true )
| ( ( part_of @ SV104 @ SV123 )
= $true )
| ( ( end_point @ SV125 @ SV123 )
= $false )
| ( ( end_point @ SV125 @ SV104 )
= $false )
| ( ( end_point @ SV125 @ SV36 )
= $false )
| ( ( part_of @ SV123 @ SV81 )
= $false )
| ( ( part_of @ SV104 @ SV81 )
= $false )
| ( ( part_of @ SV36 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(499,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[135,498,490,487,483,477,471,470,461,456,455,451,450,439,438,437,436,432,431,422,421,415,414,408,407,406,404,401,400,394,393,392,391,388,387,386,385,370,366,364,363,360,349,341,331,315,285,268,236,224,138,137,136]) ).
thf(500,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO094-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Fri Jun 17 22:32:47 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.36 .
% 0.16/0.36
% 0.16/0.36 No.of.Axioms: 52
% 0.16/0.36
% 0.16/0.36 Length.of.Defs: 0
% 0.16/0.36
% 0.16/0.36 Contains.Choice.Funs: false
% 0.16/0.41 .
% 0.16/0.42 (rf:0,axioms:52,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:54,loop_count:0,foatp_calls:0,translation:fof_full)...........................
% 1.20/1.44
% 1.20/1.44 ********************************
% 1.20/1.44 * All subproblems solved! *
% 1.20/1.44 ********************************
% 1.20/1.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:52,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:499,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.36/1.58
% 1.36/1.58 %**** Beginning of derivation protocol ****
% 1.36/1.58 % SZS output start CNFRefutation
% See solution above
% 1.36/1.58
% 1.36/1.58 %**** End of derivation protocol ****
% 1.36/1.58 %**** no. of clauses in derivation: 500 ****
% 1.36/1.58 %**** clause counter: 499 ****
% 1.36/1.58
% 1.36/1.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:52,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:499,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------