TSTP Solution File: GEO147+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : GEO147+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 : n015.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 05:07:36 EDT 2022

% Result   : Theorem 0.97s 1.27s
% Output   : CNFRefutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   86
% Syntax   : Number of formulae    : 1832 ( 819 unt;  49 typ;   0 def)
%            Number of atoms       : 15304 (4303 equ;   0 cnn)
%            Maximal formula atoms :   12 (   8 avg)
%            Number of connectives : 36722 (6408   ~;5997   |; 278   &;23943   @)
%                                         (  48 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   98 (  98   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   52 (  49 usr;   5 con; 0-5 aty)
%            Number of variables   : 6410 (   0   ^6378   !;  32   ?;6410   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_at,type,
    at: $i > $i > $i ).

thf(tp_at_the_same_time,type,
    at_the_same_time: $i > $i > $i ).

thf(tp_between_c,type,
    between_c: $i > $i > $i > $i > $o ).

thf(tp_between_o,type,
    between_o: $i > $i > $i > $i > $o ).

thf(tp_closed,type,
    closed: $i > $o ).

thf(tp_connect,type,
    connect: $i > $i > $i > $o ).

thf(tp_end_point,type,
    end_point: $i > $i > $o ).

thf(tp_finish_point,type,
    finish_point: $i > $i > $o ).

thf(tp_incident_c,type,
    incident_c: $i > $i > $o ).

thf(tp_incident_o,type,
    incident_o: $i > $i > $o ).

thf(tp_inner_point,type,
    inner_point: $i > $i > $o ).

thf(tp_meet,type,
    meet: $i > $i > $i > $o ).

thf(tp_once,type,
    once: $i > $o ).

thf(tp_open,type,
    open: $i > $o ).

thf(tp_ordered_by,type,
    ordered_by: $i > $i > $i > $o ).

thf(tp_part_of,type,
    part_of: $i > $i > $o ).

thf(tp_sK10_P,type,
    sK10_P: $i > $i ).

thf(tp_sK11_C,type,
    sK11_C: $i > $i > $i > $i > $i ).

thf(tp_sK12_P,type,
    sK12_P: $i > $i > $i > $i > $i > $i ).

thf(tp_sK13_C,type,
    sK13_C: $i > $i ).

thf(tp_sK14_Q,type,
    sK14_Q: $i > $i > $i ).

thf(tp_sK15_Q,type,
    sK15_Q: $i > $i > $i ).

thf(tp_sK16_Cpp,type,
    sK16_Cpp: $i > $i > $i > $i > $i ).

thf(tp_sK17_P,type,
    sK17_P: $i > $i > $i ).

thf(tp_sK18_C,type,
    sK18_C: $i > $i > $i ).

thf(tp_sK19_Q,type,
    sK19_Q: $i > $i > $i ).

thf(tp_sK1_P,type,
    sK1_P: $i ).

thf(tp_sK20_C1,type,
    sK20_C1: $i > $i > $i ).

thf(tp_sK21_SY131,type,
    sK21_SY131: $i > $i > $i ).

thf(tp_sK22_P,type,
    sK22_P: $i > $i ).

thf(tp_sK23_P,type,
    sK23_P: $i > $i ).

thf(tp_sK24_P,type,
    sK24_P: $i > $i ).

thf(tp_sK25_Q,type,
    sK25_Q: $i > $i > $i > $i ).

thf(tp_sK26_C1,type,
    sK26_C1: $i > $i > $i ).

thf(tp_sK27_SY132,type,
    sK27_SY132: $i > $i > $i ).

thf(tp_sK28_Q,type,
    sK28_Q: $i > $i > $i > $i ).

thf(tp_sK29_P,type,
    sK29_P: $i > $i > $i ).

thf(tp_sK2_SY121,type,
    sK2_SY121: $i ).

thf(tp_sK3_SY123,type,
    sK3_SY123: $i ).

thf(tp_sK4_P,type,
    sK4_P: $i > $i > $i ).

thf(tp_sK5_O,type,
    sK5_O: $i > $i ).

thf(tp_sK6_P,type,
    sK6_P: $i > $i > $i ).

thf(tp_sK7_P,type,
    sK7_P: $i > $i > $i ).

thf(tp_sK8_SY124,type,
    sK8_SY124: $i > $i > $i ).

thf(tp_sK9_O,type,
    sK9_O: $i > $i > $i > $i ).

thf(tp_start_point,type,
    start_point: $i > $i > $o ).

thf(tp_sum,type,
    sum: $i > $i > $i ).

thf(tp_trajectory_of,type,
    trajectory_of: $i > $i ).

thf(tp_underlying_curve,type,
    underlying_curve: $i > $i ).

thf(1,axiom,
    ! [A: $i] :
      ( ( once @ A )
     => ! [X: $i] :
        ? [P: $i] : ( once @ ( at_the_same_time @ A @ ( at @ X @ P ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',localization) ).

thf(2,axiom,
    ! [P1: $i,P2: $i,Q1: $i,Q2: $i,X: $i,Y: $i] :
      ( ( ( once @ ( at_the_same_time @ ( at @ X @ P1 ) @ ( at @ Y @ P2 ) ) )
        & ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) )
     => ~ ( ( ordered_by @ ( trajectory_of @ X ) @ P1 @ Q1 )
          & ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',homogeneous_behaviour) ).

thf(3,axiom,
    ! [X: $i] :
    ? [O: $i] :
      ( ( trajectory_of @ X )
      = O ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',trajectories_are_oriented_curves) ).

thf(4,axiom,
    ! [X: $i,P: $i] :
      ( ( once @ ( at @ X @ P ) )
    <=> ( incident_o @ P @ ( trajectory_of @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',at_on_trajectory) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( once @ ( at_the_same_time @ A @ B ) )
     => ( ( once @ A )
        & ( once @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjunction_at_the_same_time) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( once @ A )
     => ( once @ ( at_the_same_time @ A @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_at_the_same_time) ).

thf(7,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) )
    <=> ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assciativity_of_at_the_same_time) ).

thf(8,axiom,
    ! [A: $i,B: $i] :
      ( ( once @ ( at_the_same_time @ A @ B ) )
    <=> ( once @ ( at_the_same_time @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_at_the_same_time) ).

thf(9,axiom,
    ! [X: $i,Y: $i,P: $i] :
      ( ( connect @ X @ Y @ P )
    <=> ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',connect_defn) ).

thf(10,axiom,
    ! [C: $i,O: $i] :
      ( ( C
        = ( underlying_curve @ O ) )
    <=> ! [P: $i] :
          ( ( incident_o @ P @ O )
        <=> ( incident_c @ P @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn) ).

thf(11,axiom,
    ! [O1: $i,O2: $i] :
      ( ! [P: $i,Q: $i] :
          ( ( ordered_by @ O1 @ P @ Q )
        <=> ( ordered_by @ O2 @ P @ Q ) )
     => ( O1 = O2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o6) ).

thf(12,axiom,
    ! [P: $i,Q: $i,C: $i] :
      ( ( ( open @ C )
        & ( P != Q )
        & ( incident_c @ P @ C )
        & ( incident_c @ Q @ C ) )
     => ? [O: $i] :
          ( ! [R: $i] :
              ( ( incident_o @ R @ O )
            <=> ( incident_c @ R @ C ) )
          & ( ordered_by @ O @ P @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o5) ).

thf(13,axiom,
    ! [O: $i] :
    ? [P: $i] : ( start_point @ P @ O ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o4) ).

thf(14,axiom,
    ! [P: $i,Q: $i,R: $i,O: $i] :
      ( ( between_o @ O @ P @ Q @ R )
    <=> ? [C: $i] :
          ( ! [P: $i] :
              ( ( incident_o @ P @ O )
            <=> ( incident_c @ P @ C ) )
          & ( between_c @ C @ P @ Q @ R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3) ).

thf(15,axiom,
    ! [O: $i] :
    ? [C: $i] :
      ( ( open @ C )
      & ! [P: $i] :
          ( ( incident_o @ P @ O )
        <=> ( incident_c @ P @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2) ).

thf(16,axiom,
    ! [O: $i,P: $i,Q: $i] :
      ( ( ordered_by @ O @ P @ Q )
     => ( ( incident_o @ P @ O )
        & ( incident_o @ Q @ O ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o1) ).

thf(17,axiom,
    ! [P: $i,O: $i] :
      ( ( finish_point @ P @ O )
    <=> ( ( incident_o @ P @ O )
        & ! [Q: $i] :
            ( ( ( P != Q )
              & ( incident_o @ Q @ O ) )
           => ( ordered_by @ O @ Q @ P ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',finish_point_defn) ).

thf(18,axiom,
    ! [P: $i,O: $i] :
      ( ( start_point @ P @ O )
    <=> ( ( incident_o @ P @ O )
        & ! [Q: $i] :
            ( ( ( P != Q )
              & ( incident_o @ Q @ O ) )
           => ( ordered_by @ O @ P @ Q ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn) ).

thf(19,axiom,
    ! [O: $i,P: $i,Q: $i,R: $i] :
      ( ( between_o @ O @ P @ Q @ R )
    <=> ( ( ( ordered_by @ O @ P @ Q )
          & ( ordered_by @ O @ Q @ R ) )
        | ( ( ordered_by @ O @ R @ Q )
          & ( ordered_by @ O @ Q @ P ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn) ).

thf(20,axiom,
    ! [C: $i,P: $i,Q: $i,R: $i] :
      ( ( between_c @ C @ P @ Q @ R )
    <=> ( ( P != R )
        & ? [Cpp: $i] :
            ( ( part_of @ Cpp @ C )
            & ( end_point @ P @ Cpp )
            & ( end_point @ R @ Cpp )
            & ( inner_point @ Q @ Cpp ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn) ).

thf(21,axiom,
    ! [C: $i,C1: $i] :
      ( ! [P: $i] :
          ( ( incident_c @ P @ C )
        <=> ( incident_c @ P @ C1 ) )
     => ( C = C1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).

thf(22,axiom,
    ! [C1: $i,C2: $i] :
      ( ? [P: $i] : ( meet @ P @ C1 @ C2 )
     => ? [C: $i] :
          ( C
          = ( sum @ C1 @ C2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).

thf(23,axiom,
    ! [C: $i,C1: $i,C2: $i,P: $i] :
      ( ( ( closed @ C )
        & ( meet @ P @ C1 @ C2 )
        & ( C
          = ( sum @ C1 @ C2 ) ) )
     => ! [Q: $i] :
          ( ( end_point @ Q @ C1 )
         => ( meet @ Q @ C1 @ C2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).

thf(24,axiom,
    ! [C: $i,P: $i] :
      ( ( end_point @ P @ C )
     => ? [Q: $i] :
          ( ( end_point @ Q @ C )
          & ( P != Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).

thf(25,axiom,
    ! [C: $i,P: $i,Q: $i,R: $i] :
      ( ( ( end_point @ P @ C )
        & ( end_point @ Q @ C )
        & ( end_point @ R @ C ) )
     => ( ( P = Q )
        | ( P = R )
        | ( Q = R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).

thf(26,axiom,
    ! [C: $i,P: $i] :
      ( ( inner_point @ P @ C )
     => ? [C1: $i,C2: $i] :
          ( ( meet @ P @ C1 @ C2 )
          & ( C
            = ( sum @ C1 @ C2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).

thf(27,axiom,
    ! [C: $i] :
    ? [P: $i] : ( inner_point @ P @ C ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).

thf(28,axiom,
    ! [C: $i,C1: $i,C2: $i,C3: $i] :
      ( ( ( part_of @ C1 @ C )
        & ( part_of @ C2 @ C )
        & ( part_of @ C3 @ C )
        & ? [P: $i] :
            ( ( end_point @ P @ C1 )
            & ( end_point @ P @ C2 )
            & ( end_point @ P @ C3 ) ) )
     => ( ( part_of @ C2 @ C3 )
        | ( part_of @ C3 @ C2 )
        | ( part_of @ C1 @ C2 )
        | ( part_of @ C2 @ C1 )
        | ( part_of @ C1 @ C3 )
        | ( part_of @ C3 @ C1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).

thf(29,axiom,
    ! [C: $i,C1: $i] :
      ( ( ( part_of @ C1 @ C )
        & ( C1 != C ) )
     => ( open @ C1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).

thf(30,axiom,
    ! [C: $i] :
      ( ( open @ C )
    <=> ? [P: $i] : ( end_point @ P @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn) ).

thf(31,axiom,
    ! [C: $i] :
      ( ( closed @ C )
    <=> ~ ? [P: $i] : ( end_point @ P @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',closed_defn) ).

thf(32,axiom,
    ! [P: $i,C: $i,C1: $i] :
      ( ( meet @ P @ C @ C1 )
    <=> ( ( incident_c @ P @ C )
        & ( incident_c @ P @ C1 )
        & ! [Q: $i] :
            ( ( ( incident_c @ Q @ C )
              & ( incident_c @ Q @ C1 ) )
           => ( ( end_point @ Q @ C )
              & ( end_point @ Q @ C1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn) ).

thf(33,axiom,
    ! [P: $i,C: $i] :
      ( ( inner_point @ P @ C )
    <=> ( ( incident_c @ P @ C )
        & ~ ( end_point @ P @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn) ).

thf(34,axiom,
    ! [P: $i,C: $i] :
      ( ( end_point @ P @ C )
    <=> ( ( incident_c @ P @ C )
        & ! [C1: $i,C2: $i] :
            ( ( ( part_of @ C1 @ C )
              & ( part_of @ C2 @ C )
              & ( incident_c @ P @ C1 )
              & ( incident_c @ P @ C2 ) )
           => ( ( part_of @ C1 @ C2 )
              | ( part_of @ C2 @ C1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn) ).

thf(35,axiom,
    ! [C: $i,C1: $i,C2: $i] :
      ( ( C
        = ( sum @ C1 @ C2 ) )
    <=> ! [Q: $i] :
          ( ( incident_c @ Q @ C )
        <=> ( ( incident_c @ Q @ C1 )
            | ( incident_c @ Q @ C2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn) ).

thf(36,axiom,
    ! [C: $i,C1: $i] :
      ( ( part_of @ C1 @ C )
    <=> ! [P: $i] :
          ( ( incident_c @ P @ C1 )
         => ( incident_c @ P @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn) ).

thf(37,conjecture,
    ! [P: $i,X: $i,Y: $i] :
      ( ( connect @ X @ Y @ P )
     => ( ( incident_o @ P @ ( trajectory_of @ X ) )
        & ( incident_o @ P @ ( trajectory_of @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13) ).

thf(38,negated_conjecture,
    ( ( ! [P: $i,X: $i,Y: $i] :
          ( ( connect @ X @ Y @ P )
         => ( ( incident_o @ P @ ( trajectory_of @ X ) )
            & ( incident_o @ P @ ( trajectory_of @ Y ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[37]) ).

thf(39,plain,
    ( ( ! [P: $i,X: $i,Y: $i] :
          ( ( connect @ X @ Y @ P )
         => ( ( incident_o @ P @ ( trajectory_of @ X ) )
            & ( incident_o @ P @ ( trajectory_of @ Y ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(40,plain,
    ( ( ! [A: $i] :
          ( ( once @ A )
         => ! [X: $i] :
            ? [P: $i] : ( once @ ( at_the_same_time @ A @ ( at @ X @ P ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(41,plain,
    ( ( ! [P1: $i,P2: $i,Q1: $i,Q2: $i,X: $i,Y: $i] :
          ( ( ( once @ ( at_the_same_time @ ( at @ X @ P1 ) @ ( at @ Y @ P2 ) ) )
            & ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) ) )
         => ~ ( ( ordered_by @ ( trajectory_of @ X ) @ P1 @ Q1 )
              & ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(42,plain,
    ( ( ! [X: $i] :
        ? [O: $i] :
          ( ( trajectory_of @ X )
          = O ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(43,plain,
    ( ( ! [X: $i,P: $i] :
          ( ( once @ ( at @ X @ P ) )
        <=> ( incident_o @ P @ ( trajectory_of @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(44,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( once @ ( at_the_same_time @ A @ B ) )
         => ( ( once @ A )
            & ( once @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(45,plain,
    ( ( ! [A: $i] :
          ( ( once @ A )
         => ( once @ ( at_the_same_time @ A @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(46,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) )
        <=> ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(47,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( once @ ( at_the_same_time @ A @ B ) )
        <=> ( once @ ( at_the_same_time @ B @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(48,plain,
    ( ( ! [X: $i,Y: $i,P: $i] :
          ( ( connect @ X @ Y @ P )
        <=> ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(49,plain,
    ( ( ! [C: $i,O: $i] :
          ( ( C
            = ( underlying_curve @ O ) )
        <=> ! [P: $i] :
              ( ( incident_o @ P @ O )
            <=> ( incident_c @ P @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(50,plain,
    ( ( ! [O1: $i,O2: $i] :
          ( ! [P: $i,Q: $i] :
              ( ( ordered_by @ O1 @ P @ Q )
            <=> ( ordered_by @ O2 @ P @ Q ) )
         => ( O1 = O2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(51,plain,
    ( ( ! [P: $i,Q: $i,C: $i] :
          ( ( ( open @ C )
            & ( P != Q )
            & ( incident_c @ P @ C )
            & ( incident_c @ Q @ C ) )
         => ? [O: $i] :
              ( ! [R: $i] :
                  ( ( incident_o @ R @ O )
                <=> ( incident_c @ R @ C ) )
              & ( ordered_by @ O @ P @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(52,plain,
    ( ( ! [O: $i] :
        ? [P: $i] : ( start_point @ P @ O ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(53,plain,
    ( ( ! [P: $i,Q: $i,R: $i,O: $i] :
          ( ( between_o @ O @ P @ Q @ R )
        <=> ? [C: $i] :
              ( ! [P: $i] :
                  ( ( incident_o @ P @ O )
                <=> ( incident_c @ P @ C ) )
              & ( between_c @ C @ P @ Q @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(54,plain,
    ( ( ! [O: $i] :
        ? [C: $i] :
          ( ( open @ C )
          & ! [P: $i] :
              ( ( incident_o @ P @ O )
            <=> ( incident_c @ P @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(55,plain,
    ( ( ! [O: $i,P: $i,Q: $i] :
          ( ( ordered_by @ O @ P @ Q )
         => ( ( incident_o @ P @ O )
            & ( incident_o @ Q @ O ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(56,plain,
    ( ( ! [P: $i,O: $i] :
          ( ( finish_point @ P @ O )
        <=> ( ( incident_o @ P @ O )
            & ! [Q: $i] :
                ( ( ( P != Q )
                  & ( incident_o @ Q @ O ) )
               => ( ordered_by @ O @ Q @ P ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(57,plain,
    ( ( ! [P: $i,O: $i] :
          ( ( start_point @ P @ O )
        <=> ( ( incident_o @ P @ O )
            & ! [Q: $i] :
                ( ( ( P != Q )
                  & ( incident_o @ Q @ O ) )
               => ( ordered_by @ O @ P @ Q ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(58,plain,
    ( ( ! [O: $i,P: $i,Q: $i,R: $i] :
          ( ( between_o @ O @ P @ Q @ R )
        <=> ( ( ( ordered_by @ O @ P @ Q )
              & ( ordered_by @ O @ Q @ R ) )
            | ( ( ordered_by @ O @ R @ Q )
              & ( ordered_by @ O @ Q @ P ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(59,plain,
    ( ( ! [C: $i,P: $i,Q: $i,R: $i] :
          ( ( between_c @ C @ P @ Q @ R )
        <=> ( ( P != R )
            & ? [Cpp: $i] :
                ( ( part_of @ Cpp @ C )
                & ( end_point @ P @ Cpp )
                & ( end_point @ R @ Cpp )
                & ( inner_point @ Q @ Cpp ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(60,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ! [P: $i] :
              ( ( incident_c @ P @ C )
            <=> ( incident_c @ P @ C1 ) )
         => ( C = C1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(61,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ? [P: $i] : ( meet @ P @ C1 @ C2 )
         => ? [C: $i] :
              ( C
              = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(62,plain,
    ( ( ! [C: $i,C1: $i,C2: $i,P: $i] :
          ( ( ( closed @ C )
            & ( meet @ P @ C1 @ C2 )
            & ( C
              = ( sum @ C1 @ C2 ) ) )
         => ! [Q: $i] :
              ( ( end_point @ Q @ C1 )
             => ( meet @ Q @ C1 @ C2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(63,plain,
    ( ( ! [C: $i,P: $i] :
          ( ( end_point @ P @ C )
         => ? [Q: $i] :
              ( ( end_point @ Q @ C )
              & ( P != Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(64,plain,
    ( ( ! [C: $i,P: $i,Q: $i,R: $i] :
          ( ( ( end_point @ P @ C )
            & ( end_point @ Q @ C )
            & ( end_point @ R @ C ) )
         => ( ( P = Q )
            | ( P = R )
            | ( Q = R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(65,plain,
    ( ( ! [C: $i,P: $i] :
          ( ( inner_point @ P @ C )
         => ? [C1: $i,C2: $i] :
              ( ( meet @ P @ C1 @ C2 )
              & ( C
                = ( sum @ C1 @ C2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(66,plain,
    ( ( ! [C: $i] :
        ? [P: $i] : ( inner_point @ P @ C ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(67,plain,
    ( ( ! [C: $i,C1: $i,C2: $i,C3: $i] :
          ( ( ( part_of @ C1 @ C )
            & ( part_of @ C2 @ C )
            & ( part_of @ C3 @ C )
            & ? [P: $i] :
                ( ( end_point @ P @ C1 )
                & ( end_point @ P @ C2 )
                & ( end_point @ P @ C3 ) ) )
         => ( ( part_of @ C2 @ C3 )
            | ( part_of @ C3 @ C2 )
            | ( part_of @ C1 @ C2 )
            | ( part_of @ C2 @ C1 )
            | ( part_of @ C1 @ C3 )
            | ( part_of @ C3 @ C1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(68,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( part_of @ C1 @ C )
            & ( C1 != C ) )
         => ( open @ C1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(69,plain,
    ( ( ! [C: $i] :
          ( ( open @ C )
        <=> ? [P: $i] : ( end_point @ P @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(70,plain,
    ( ( ! [C: $i] :
          ( ( closed @ C )
        <=> ~ ? [P: $i] : ( end_point @ P @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(71,plain,
    ( ( ! [P: $i,C: $i,C1: $i] :
          ( ( meet @ P @ C @ C1 )
        <=> ( ( incident_c @ P @ C )
            & ( incident_c @ P @ C1 )
            & ! [Q: $i] :
                ( ( ( incident_c @ Q @ C )
                  & ( incident_c @ Q @ C1 ) )
               => ( ( end_point @ Q @ C )
                  & ( end_point @ Q @ C1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(72,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( inner_point @ P @ C )
        <=> ( ( incident_c @ P @ C )
            & ~ ( end_point @ P @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(73,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( end_point @ P @ C )
        <=> ( ( incident_c @ P @ C )
            & ! [C1: $i,C2: $i] :
                ( ( ( part_of @ C1 @ C )
                  & ( part_of @ C2 @ C )
                  & ( incident_c @ P @ C1 )
                  & ( incident_c @ P @ C2 ) )
               => ( ( part_of @ C1 @ C2 )
                  | ( part_of @ C2 @ C1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(74,plain,
    ( ( ! [C: $i,C1: $i,C2: $i] :
          ( ( C
            = ( sum @ C1 @ C2 ) )
        <=> ! [Q: $i] :
              ( ( incident_c @ Q @ C )
            <=> ( ( incident_c @ Q @ C1 )
                | ( incident_c @ Q @ C2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(75,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( part_of @ C1 @ C )
        <=> ! [P: $i] :
              ( ( incident_c @ P @ C1 )
             => ( incident_c @ P @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(76,plain,
    ( ( ! [SY121: $i,SY122: $i] :
          ( ( connect @ SY121 @ SY122 @ sK1_P )
         => ( ( incident_o @ sK1_P @ ( trajectory_of @ SY121 ) )
            & ( incident_o @ sK1_P @ ( trajectory_of @ SY122 ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[39]) ).

thf(77,plain,
    ( ( ! [SY123: $i] :
          ( ( connect @ sK2_SY121 @ SY123 @ sK1_P )
         => ( ( incident_o @ sK1_P @ ( trajectory_of @ sK2_SY121 ) )
            & ( incident_o @ sK1_P @ ( trajectory_of @ SY123 ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[76]) ).

thf(78,plain,
    ( ( ( connect @ sK2_SY121 @ sK3_SY123 @ sK1_P )
     => ( ( incident_o @ sK1_P @ ( trajectory_of @ sK2_SY121 ) )
        & ( incident_o @ sK1_P @ ( trajectory_of @ sK3_SY123 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[77]) ).

thf(79,plain,
    ( ( connect @ sK2_SY121 @ sK3_SY123 @ sK1_P )
    = $true ),
    inference(standard_cnf,[status(thm)],[78]) ).

thf(80,plain,
    ( ( ( incident_o @ sK1_P @ ( trajectory_of @ sK2_SY121 ) )
      & ( incident_o @ sK1_P @ ( trajectory_of @ sK3_SY123 ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[78]) ).

thf(81,plain,
    ( ( incident_o @ sK1_P @ ( trajectory_of @ sK2_SY121 ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[80]) ).

thf(82,plain,
    ( ( incident_o @ sK1_P @ ( trajectory_of @ sK3_SY123 ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[80]) ).

thf(83,plain,
    ( ( ~ ( incident_o @ sK1_P @ ( trajectory_of @ sK2_SY121 ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[81]) ).

thf(84,plain,
    ( ( ~ ( incident_o @ sK1_P @ ( trajectory_of @ sK3_SY123 ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[82]) ).

thf(85,plain,
    ( ( ! [A: $i] :
          ( ~ ( once @ A )
          | ! [X: $i] : ( once @ ( at_the_same_time @ A @ ( at @ X @ ( sK4_P @ X @ A ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[40]) ).

thf(86,plain,
    ( ( ! [P1: $i,P2: $i,Q1: $i,Q2: $i,X: $i,Y: $i] :
          ( ~ ( once @ ( at_the_same_time @ ( at @ X @ P1 ) @ ( at @ Y @ P2 ) ) )
          | ~ ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) )
          | ~ ( ordered_by @ ( trajectory_of @ X ) @ P1 @ Q1 )
          | ~ ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[41]) ).

thf(87,plain,
    ( ( ! [X: $i] :
          ( ( trajectory_of @ X )
          = ( sK5_O @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[42]) ).

thf(88,plain,
    ( ( ! [X: $i,P: $i] :
          ( ~ ( incident_o @ P @ ( trajectory_of @ X ) )
          | ( once @ ( at @ X @ P ) ) )
      & ! [X: $i,P: $i] :
          ( ~ ( once @ ( at @ X @ P ) )
          | ( incident_o @ P @ ( trajectory_of @ X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[43]) ).

thf(89,plain,
    ( ( ! [A: $i] :
          ( ! [B: $i] :
              ~ ( once @ ( at_the_same_time @ A @ B ) )
          | ( once @ A ) )
      & ! [A: $i,B: $i] :
          ( ~ ( once @ ( at_the_same_time @ A @ B ) )
          | ( once @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[44]) ).

thf(90,plain,
    ( ( ! [A: $i] :
          ( ~ ( once @ A )
          | ( once @ ( at_the_same_time @ A @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[45]) ).

thf(91,plain,
    ( ( ! [A: $i] :
          ( ! [B: $i,C: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) )
              | ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) ) )
          & ! [B: $i,C: $i] :
              ( ~ ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) )
              | ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[46]) ).

thf(92,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( once @ ( at_the_same_time @ A @ B ) )
          | ( once @ ( at_the_same_time @ B @ A ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( once @ ( at_the_same_time @ B @ A ) )
          | ( once @ ( at_the_same_time @ A @ B ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[47]) ).

thf(93,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i,P: $i] :
              ( ~ ( connect @ X @ Y @ P )
              | ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) ) )
          & ! [Y: $i,P: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) )
              | ( connect @ X @ Y @ P ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[48]) ).

thf(94,plain,
    ( ( ! [C: $i,O: $i] :
          ( ( ( ~ ( incident_c @ ( sK6_P @ O @ C ) @ C )
              | ~ ( incident_o @ ( sK6_P @ O @ C ) @ O ) )
            & ( ( incident_c @ ( sK6_P @ O @ C ) @ C )
              | ( incident_o @ ( sK6_P @ O @ C ) @ O ) ) )
          | ( C
            = ( underlying_curve @ O ) ) )
      & ! [C: $i,O: $i] :
          ( ( C
           != ( underlying_curve @ O ) )
          | ( ! [P: $i] :
                ( ~ ( incident_c @ P @ C )
                | ( incident_o @ P @ O ) )
            & ! [P: $i] :
                ( ~ ( incident_o @ P @ O )
                | ( incident_c @ P @ C ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[49]) ).

thf(95,plain,
    ( ( ! [O1: $i,O2: $i] :
          ( ( ( ~ ( ordered_by @ O1 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) )
              | ~ ( ordered_by @ O2 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) ) )
            & ( ( ordered_by @ O1 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) )
              | ( ordered_by @ O2 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) ) ) )
          | ( O1 = O2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[50]) ).

thf(96,plain,
    ( ( ! [P: $i,Q: $i,C: $i] :
          ( ( P = Q )
          | ~ ( open @ C )
          | ~ ( incident_c @ P @ C )
          | ~ ( incident_c @ Q @ C )
          | ( ! [SY125: $i] :
                ( ~ ( incident_c @ SY125 @ C )
                | ( incident_o @ SY125 @ ( sK9_O @ C @ Q @ P ) ) )
            & ! [SY126: $i] :
                ( ~ ( incident_o @ SY126 @ ( sK9_O @ C @ Q @ P ) )
                | ( incident_c @ SY126 @ C ) )
            & ( ordered_by @ ( sK9_O @ C @ Q @ P ) @ P @ Q ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[51]) ).

thf(97,plain,
    ( ( ! [O: $i] : ( start_point @ ( sK10_P @ O ) @ O ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[52]) ).

thf(98,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ! [R: $i,O: $i] :
              ( ! [C: $i] :
                  ( ( ( ~ ( incident_c @ ( sK12_P @ C @ O @ R @ Q @ P ) @ C )
                      | ~ ( incident_o @ ( sK12_P @ C @ O @ R @ Q @ P ) @ O ) )
                    & ( ( incident_c @ ( sK12_P @ C @ O @ R @ Q @ P ) @ C )
                      | ( incident_o @ ( sK12_P @ C @ O @ R @ Q @ P ) @ O ) ) )
                  | ~ ( between_c @ C @ P @ Q @ R ) )
              | ( between_o @ O @ P @ Q @ R ) )
          & ! [R: $i,O: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ! [SY127: $i] :
                    ( ~ ( incident_c @ SY127 @ ( sK11_C @ O @ R @ Q @ P ) )
                    | ( incident_o @ SY127 @ O ) )
                & ! [SY128: $i] :
                    ( ~ ( incident_o @ SY128 @ O )
                    | ( incident_c @ SY128 @ ( sK11_C @ O @ R @ Q @ P ) ) )
                & ( between_c @ ( sK11_C @ O @ R @ Q @ P ) @ P @ Q @ R ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[53]) ).

thf(99,plain,
    ( ( ! [O: $i] :
          ( ! [SY129: $i] :
              ( ~ ( incident_c @ SY129 @ ( sK13_C @ O ) )
              | ( incident_o @ SY129 @ O ) )
          & ! [SY130: $i] :
              ( ~ ( incident_o @ SY130 @ O )
              | ( incident_c @ SY130 @ ( sK13_C @ O ) ) )
          & ( open @ ( sK13_C @ O ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[54]) ).

thf(100,plain,
    ( ( ! [O: $i] :
          ( ! [P: $i] :
              ( ! [Q: $i] :
                  ~ ( ordered_by @ O @ P @ Q )
              | ( incident_o @ P @ O ) )
          & ! [P: $i,Q: $i] :
              ( ~ ( ordered_by @ O @ P @ Q )
              | ( incident_o @ Q @ O ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[55]) ).

thf(101,plain,
    ( ( ! [P: $i,O: $i] :
          ( ( ( P
             != ( sK14_Q @ O @ P ) )
            & ( incident_o @ ( sK14_Q @ O @ P ) @ O )
            & ~ ( ordered_by @ O @ ( sK14_Q @ O @ P ) @ P ) )
          | ~ ( incident_o @ P @ O )
          | ( finish_point @ P @ O ) )
      & ! [P: $i,O: $i] :
          ( ~ ( finish_point @ P @ O )
          | ! [Q: $i] :
              ( ( P = Q )
              | ~ ( incident_o @ Q @ O )
              | ( ordered_by @ O @ Q @ P ) ) )
      & ! [P: $i,O: $i] :
          ( ~ ( finish_point @ P @ O )
          | ( incident_o @ P @ O ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[56]) ).

thf(102,plain,
    ( ( ! [P: $i,O: $i] :
          ( ( ( P
             != ( sK15_Q @ O @ P ) )
            & ( incident_o @ ( sK15_Q @ O @ P ) @ O )
            & ~ ( ordered_by @ O @ P @ ( sK15_Q @ O @ P ) ) )
          | ~ ( incident_o @ P @ O )
          | ( start_point @ P @ O ) )
      & ! [P: $i,O: $i] :
          ( ~ ( start_point @ P @ O )
          | ! [Q: $i] :
              ( ( P = Q )
              | ~ ( incident_o @ Q @ O )
              | ( ordered_by @ O @ P @ Q ) ) )
      & ! [P: $i,O: $i] :
          ( ~ ( start_point @ P @ O )
          | ( incident_o @ P @ O ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[57]) ).

thf(103,plain,
    ( ( ! [O: $i,P: $i] :
          ( ! [Q: $i,R: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ P @ Q )
              | ( ordered_by @ O @ R @ Q ) )
          & ! [Q: $i] :
              ( ! [R: $i] :
                  ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ P @ Q )
              | ( ordered_by @ O @ Q @ P ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ Q @ R )
              | ( ordered_by @ O @ R @ Q ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ Q @ R )
              | ( ordered_by @ O @ Q @ P ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( ordered_by @ O @ P @ Q )
              | ~ ( ordered_by @ O @ Q @ R )
              | ( between_o @ O @ P @ Q @ R ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( ordered_by @ O @ R @ Q )
              | ~ ( ordered_by @ O @ Q @ P )
              | ( between_o @ O @ P @ Q @ R ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[58]) ).

thf(104,plain,
    ( ( ! [C: $i,P: $i] :
          ( ! [Q: $i,R: $i] :
              ( ( P = R )
              | ! [Cpp: $i] :
                  ( ~ ( end_point @ P @ Cpp )
                  | ~ ( part_of @ Cpp @ C )
                  | ~ ( end_point @ R @ Cpp )
                  | ~ ( inner_point @ Q @ Cpp ) )
              | ( between_c @ C @ P @ Q @ R ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_c @ C @ P @ Q @ R )
              | ( P != R ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_c @ C @ P @ Q @ R )
              | ( ( end_point @ P @ ( sK16_Cpp @ R @ Q @ P @ C ) )
                & ( part_of @ ( sK16_Cpp @ R @ Q @ P @ C ) @ C )
                & ( end_point @ R @ ( sK16_Cpp @ R @ Q @ P @ C ) )
                & ( inner_point @ Q @ ( sK16_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[59]) ).

thf(105,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( ~ ( incident_c @ ( sK17_P @ C1 @ C ) @ C )
              | ~ ( incident_c @ ( sK17_P @ C1 @ C ) @ C1 ) )
            & ( ( incident_c @ ( sK17_P @ C1 @ C ) @ C )
              | ( incident_c @ ( sK17_P @ C1 @ C ) @ C1 ) ) )
          | ( C = C1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[60]) ).

thf(106,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( ( sK18_C @ C2 @ C1 )
            = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[61]) ).

thf(107,plain,
    ( ( ! [C: $i,C1: $i,C2: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( C
           != ( sum @ C1 @ C2 ) )
          | ! [Q: $i] :
              ( ~ ( end_point @ Q @ C1 )
              | ( meet @ Q @ C1 @ C2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[62]) ).

thf(108,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( end_point @ P @ C )
          | ( ( P
             != ( sK19_Q @ P @ C ) )
            & ( end_point @ ( sK19_Q @ P @ C ) @ C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[63]) ).

thf(109,plain,
    ( ( ! [C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( end_point @ P @ C )
          | ~ ( end_point @ Q @ C )
          | ~ ( end_point @ R @ C )
          | ( Q = R )
          | ( P = Q )
          | ( P = R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[64]) ).

thf(110,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( ( C
              = ( sum @ ( sK20_C1 @ P @ C ) @ ( sK21_SY131 @ P @ C ) ) )
            & ( meet @ P @ ( sK20_C1 @ P @ C ) @ ( sK21_SY131 @ P @ C ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[65]) ).

thf(111,plain,
    ( ( ! [C: $i] : ( inner_point @ ( sK22_P @ C ) @ C ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[66]) ).

thf(112,plain,
    ( ( ! [C: $i,C1: $i,C2: $i,C3: $i] :
          ( ~ ( part_of @ C1 @ C )
          | ~ ( part_of @ C2 @ C )
          | ~ ( part_of @ C3 @ C )
          | ! [P: $i] :
              ( ~ ( end_point @ P @ C1 )
              | ~ ( end_point @ P @ C2 )
              | ~ ( end_point @ P @ C3 ) )
          | ( part_of @ C3 @ C1 )
          | ( part_of @ C1 @ C3 )
          | ( part_of @ C2 @ C1 )
          | ( part_of @ C1 @ C2 )
          | ( part_of @ C2 @ C3 )
          | ( part_of @ C3 @ C2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[67]) ).

thf(113,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( C1 = C )
          | ~ ( part_of @ C1 @ C )
          | ( open @ C1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[68]) ).

thf(114,plain,
    ( ( ! [C: $i] :
          ( ! [P: $i] :
              ~ ( end_point @ P @ C )
          | ( open @ C ) )
      & ! [C: $i] :
          ( ~ ( open @ C )
          | ( end_point @ ( sK23_P @ C ) @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[69]) ).

thf(115,plain,
    ( ( ! [C: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( end_point @ P @ C ) )
      & ! [C: $i] :
          ( ( end_point @ ( sK24_P @ C ) @ C )
          | ( closed @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[70]) ).

thf(116,plain,
    ( ( ! [P: $i] :
          ( ! [C: $i,C1: $i] :
              ( ( ( incident_c @ ( sK25_Q @ C1 @ C @ P ) @ C )
                & ( incident_c @ ( sK25_Q @ C1 @ C @ P ) @ C1 )
                & ( ~ ( end_point @ ( sK25_Q @ C1 @ C @ P ) @ C )
                  | ~ ( end_point @ ( sK25_Q @ C1 @ C @ P ) @ C1 ) ) )
              | ~ ( incident_c @ P @ C )
              | ~ ( incident_c @ P @ C1 )
              | ( meet @ P @ C @ C1 ) )
          & ! [C: $i,C1: $i] :
              ( ~ ( meet @ P @ C @ C1 )
              | ( ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C )
                    | ~ ( incident_c @ Q @ C1 )
                    | ( end_point @ Q @ C ) )
                & ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C )
                    | ~ ( incident_c @ Q @ C1 )
                    | ( end_point @ Q @ C1 ) ) ) )
          & ! [C: $i] :
              ( ! [C1: $i] :
                  ~ ( meet @ P @ C @ C1 )
              | ( incident_c @ P @ C ) )
          & ! [C: $i,C1: $i] :
              ( ~ ( meet @ P @ C @ C1 )
              | ( incident_c @ P @ C1 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[71]) ).

thf(117,plain,
    ( ( ! [P: $i,C: $i] :
          ( ~ ( incident_c @ P @ C )
          | ( end_point @ P @ C )
          | ( inner_point @ P @ C ) )
      & ! [P: $i,C: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( incident_c @ P @ C ) )
      & ! [P: $i,C: $i] :
          ( ~ ( inner_point @ P @ C )
          | ~ ( end_point @ P @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[72]) ).

thf(118,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( ( part_of @ ( sK26_C1 @ C @ P ) @ C )
            & ( part_of @ ( sK27_SY132 @ C @ P ) @ C )
            & ( incident_c @ P @ ( sK26_C1 @ C @ P ) )
            & ( incident_c @ P @ ( sK27_SY132 @ C @ P ) )
            & ~ ( part_of @ ( sK26_C1 @ C @ P ) @ ( sK27_SY132 @ C @ P ) )
            & ~ ( part_of @ ( sK27_SY132 @ C @ P ) @ ( sK26_C1 @ C @ P ) ) )
          | ~ ( incident_c @ P @ C )
          | ( end_point @ P @ C ) )
      & ! [P: $i,C: $i] :
          ( ~ ( end_point @ P @ C )
          | ! [C1: $i,C2: $i] :
              ( ~ ( part_of @ C1 @ C )
              | ~ ( part_of @ C2 @ C )
              | ~ ( incident_c @ P @ C1 )
              | ~ ( incident_c @ P @ C2 )
              | ( part_of @ C1 @ C2 )
              | ( part_of @ C2 @ C1 ) ) )
      & ! [P: $i,C: $i] :
          ( ~ ( end_point @ P @ C )
          | ( incident_c @ P @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[73]) ).

thf(119,plain,
    ( ( ! [C: $i] :
          ( ! [C1: $i,C2: $i] :
              ( ( ( ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C1 ) )
                & ( ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C2 ) )
                & ( ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C )
                  | ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C1 )
                  | ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C2 ) ) )
              | ( C
                = ( sum @ C1 @ C2 ) ) )
          & ! [C1: $i,C2: $i] :
              ( ( C
               != ( sum @ C1 @ C2 ) )
              | ( ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C )
                    | ( incident_c @ Q @ C1 )
                    | ( incident_c @ Q @ C2 ) )
                & ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C1 )
                    | ( incident_c @ Q @ C ) )
                & ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C2 )
                    | ( incident_c @ Q @ C ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[74]) ).

thf(120,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( incident_c @ ( sK29_P @ C1 @ C ) @ C1 )
            & ~ ( incident_c @ ( sK29_P @ C1 @ C ) @ C ) )
          | ( part_of @ C1 @ C ) )
      & ! [C: $i,C1: $i] :
          ( ~ ( part_of @ C1 @ C )
          | ! [P: $i] :
              ( ~ ( incident_c @ P @ C1 )
              | ( incident_c @ P @ C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[75]) ).

thf(121,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( incident_c @ ( sK29_P @ C1 @ C ) @ C1 )
            & ~ ( incident_c @ ( sK29_P @ C1 @ C ) @ C ) )
          | ( part_of @ C1 @ C ) )
      & ! [C: $i,C1: $i] :
          ( ~ ( part_of @ C1 @ C )
          | ! [P: $i] :
              ( ~ ( incident_c @ P @ C1 )
              | ( incident_c @ P @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(122,plain,
    ( ( ! [C: $i] :
          ( ! [C1: $i,C2: $i] :
              ( ( ( ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C1 ) )
                & ( ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C2 ) )
                & ( ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C )
                  | ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C1 )
                  | ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C2 ) ) )
              | ( C
                = ( sum @ C1 @ C2 ) ) )
          & ! [C1: $i,C2: $i] :
              ( ( C
               != ( sum @ C1 @ C2 ) )
              | ( ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C )
                    | ( incident_c @ Q @ C1 )
                    | ( incident_c @ Q @ C2 ) )
                & ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C1 )
                    | ( incident_c @ Q @ C ) )
                & ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C2 )
                    | ( incident_c @ Q @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(123,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( ( part_of @ ( sK26_C1 @ C @ P ) @ C )
            & ( part_of @ ( sK27_SY132 @ C @ P ) @ C )
            & ( incident_c @ P @ ( sK26_C1 @ C @ P ) )
            & ( incident_c @ P @ ( sK27_SY132 @ C @ P ) )
            & ~ ( part_of @ ( sK26_C1 @ C @ P ) @ ( sK27_SY132 @ C @ P ) )
            & ~ ( part_of @ ( sK27_SY132 @ C @ P ) @ ( sK26_C1 @ C @ P ) ) )
          | ~ ( incident_c @ P @ C )
          | ( end_point @ P @ C ) )
      & ! [P: $i,C: $i] :
          ( ~ ( end_point @ P @ C )
          | ! [C1: $i,C2: $i] :
              ( ~ ( part_of @ C1 @ C )
              | ~ ( part_of @ C2 @ C )
              | ~ ( incident_c @ P @ C1 )
              | ~ ( incident_c @ P @ C2 )
              | ( part_of @ C1 @ C2 )
              | ( part_of @ C2 @ C1 ) ) )
      & ! [P: $i,C: $i] :
          ( ~ ( end_point @ P @ C )
          | ( incident_c @ P @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[118]) ).

thf(124,plain,
    ( ( ! [P: $i,C: $i] :
          ( ~ ( incident_c @ P @ C )
          | ( end_point @ P @ C )
          | ( inner_point @ P @ C ) )
      & ! [P: $i,C: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( incident_c @ P @ C ) )
      & ! [P: $i,C: $i] :
          ( ~ ( inner_point @ P @ C )
          | ~ ( end_point @ P @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(125,plain,
    ( ( ! [P: $i] :
          ( ! [C: $i,C1: $i] :
              ( ( ( incident_c @ ( sK25_Q @ C1 @ C @ P ) @ C )
                & ( incident_c @ ( sK25_Q @ C1 @ C @ P ) @ C1 )
                & ( ~ ( end_point @ ( sK25_Q @ C1 @ C @ P ) @ C )
                  | ~ ( end_point @ ( sK25_Q @ C1 @ C @ P ) @ C1 ) ) )
              | ~ ( incident_c @ P @ C )
              | ~ ( incident_c @ P @ C1 )
              | ( meet @ P @ C @ C1 ) )
          & ! [C: $i,C1: $i] :
              ( ~ ( meet @ P @ C @ C1 )
              | ( ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C )
                    | ~ ( incident_c @ Q @ C1 )
                    | ( end_point @ Q @ C ) )
                & ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C )
                    | ~ ( incident_c @ Q @ C1 )
                    | ( end_point @ Q @ C1 ) ) ) )
          & ! [C: $i] :
              ( ! [C1: $i] :
                  ~ ( meet @ P @ C @ C1 )
              | ( incident_c @ P @ C ) )
          & ! [C: $i,C1: $i] :
              ( ~ ( meet @ P @ C @ C1 )
              | ( incident_c @ P @ C1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(126,plain,
    ( ( ! [C: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( end_point @ P @ C ) )
      & ! [C: $i] :
          ( ( end_point @ ( sK24_P @ C ) @ C )
          | ( closed @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(127,plain,
    ( ( ! [C: $i] :
          ( ! [P: $i] :
              ~ ( end_point @ P @ C )
          | ( open @ C ) )
      & ! [C: $i] :
          ( ~ ( open @ C )
          | ( end_point @ ( sK23_P @ C ) @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(128,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( C1 = C )
          | ~ ( part_of @ C1 @ C )
          | ( open @ C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[113]) ).

thf(129,plain,
    ( ( ! [C: $i,C1: $i,C2: $i,C3: $i] :
          ( ~ ( part_of @ C1 @ C )
          | ~ ( part_of @ C2 @ C )
          | ~ ( part_of @ C3 @ C )
          | ! [P: $i] :
              ( ~ ( end_point @ P @ C1 )
              | ~ ( end_point @ P @ C2 )
              | ~ ( end_point @ P @ C3 ) )
          | ( part_of @ C3 @ C1 )
          | ( part_of @ C1 @ C3 )
          | ( part_of @ C2 @ C1 )
          | ( part_of @ C1 @ C2 )
          | ( part_of @ C2 @ C3 )
          | ( part_of @ C3 @ C2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(130,plain,
    ( ( ! [C: $i] : ( inner_point @ ( sK22_P @ C ) @ C ) )
    = $true ),
    inference(copy,[status(thm)],[111]) ).

thf(131,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( ( C
              = ( sum @ ( sK20_C1 @ P @ C ) @ ( sK21_SY131 @ P @ C ) ) )
            & ( meet @ P @ ( sK20_C1 @ P @ C ) @ ( sK21_SY131 @ P @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[110]) ).

thf(132,plain,
    ( ( ! [C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( end_point @ P @ C )
          | ~ ( end_point @ Q @ C )
          | ~ ( end_point @ R @ C )
          | ( Q = R )
          | ( P = Q )
          | ( P = R ) ) )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(133,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( end_point @ P @ C )
          | ( ( P
             != ( sK19_Q @ P @ C ) )
            & ( end_point @ ( sK19_Q @ P @ C ) @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[108]) ).

thf(134,plain,
    ( ( ! [C: $i,C1: $i,C2: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( C
           != ( sum @ C1 @ C2 ) )
          | ! [Q: $i] :
              ( ~ ( end_point @ Q @ C1 )
              | ( meet @ Q @ C1 @ C2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(135,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( ( sK18_C @ C2 @ C1 )
            = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(136,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( ~ ( incident_c @ ( sK17_P @ C1 @ C ) @ C )
              | ~ ( incident_c @ ( sK17_P @ C1 @ C ) @ C1 ) )
            & ( ( incident_c @ ( sK17_P @ C1 @ C ) @ C )
              | ( incident_c @ ( sK17_P @ C1 @ C ) @ C1 ) ) )
          | ( C = C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(137,plain,
    ( ( ! [C: $i,P: $i] :
          ( ! [Q: $i,R: $i] :
              ( ( P = R )
              | ! [Cpp: $i] :
                  ( ~ ( end_point @ P @ Cpp )
                  | ~ ( part_of @ Cpp @ C )
                  | ~ ( end_point @ R @ Cpp )
                  | ~ ( inner_point @ Q @ Cpp ) )
              | ( between_c @ C @ P @ Q @ R ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_c @ C @ P @ Q @ R )
              | ( P != R ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_c @ C @ P @ Q @ R )
              | ( ( end_point @ P @ ( sK16_Cpp @ R @ Q @ P @ C ) )
                & ( part_of @ ( sK16_Cpp @ R @ Q @ P @ C ) @ C )
                & ( end_point @ R @ ( sK16_Cpp @ R @ Q @ P @ C ) )
                & ( inner_point @ Q @ ( sK16_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(138,plain,
    ( ( ! [O: $i,P: $i] :
          ( ! [Q: $i,R: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ P @ Q )
              | ( ordered_by @ O @ R @ Q ) )
          & ! [Q: $i] :
              ( ! [R: $i] :
                  ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ P @ Q )
              | ( ordered_by @ O @ Q @ P ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ Q @ R )
              | ( ordered_by @ O @ R @ Q ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ Q @ R )
              | ( ordered_by @ O @ Q @ P ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( ordered_by @ O @ P @ Q )
              | ~ ( ordered_by @ O @ Q @ R )
              | ( between_o @ O @ P @ Q @ R ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( ordered_by @ O @ R @ Q )
              | ~ ( ordered_by @ O @ Q @ P )
              | ( between_o @ O @ P @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(139,plain,
    ( ( ! [P: $i,O: $i] :
          ( ( ( P
             != ( sK15_Q @ O @ P ) )
            & ( incident_o @ ( sK15_Q @ O @ P ) @ O )
            & ~ ( ordered_by @ O @ P @ ( sK15_Q @ O @ P ) ) )
          | ~ ( incident_o @ P @ O )
          | ( start_point @ P @ O ) )
      & ! [P: $i,O: $i] :
          ( ~ ( start_point @ P @ O )
          | ! [Q: $i] :
              ( ( P = Q )
              | ~ ( incident_o @ Q @ O )
              | ( ordered_by @ O @ P @ Q ) ) )
      & ! [P: $i,O: $i] :
          ( ~ ( start_point @ P @ O )
          | ( incident_o @ P @ O ) ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(140,plain,
    ( ( ! [P: $i,O: $i] :
          ( ( ( P
             != ( sK14_Q @ O @ P ) )
            & ( incident_o @ ( sK14_Q @ O @ P ) @ O )
            & ~ ( ordered_by @ O @ ( sK14_Q @ O @ P ) @ P ) )
          | ~ ( incident_o @ P @ O )
          | ( finish_point @ P @ O ) )
      & ! [P: $i,O: $i] :
          ( ~ ( finish_point @ P @ O )
          | ! [Q: $i] :
              ( ( P = Q )
              | ~ ( incident_o @ Q @ O )
              | ( ordered_by @ O @ Q @ P ) ) )
      & ! [P: $i,O: $i] :
          ( ~ ( finish_point @ P @ O )
          | ( incident_o @ P @ O ) ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(141,plain,
    ( ( ! [O: $i] :
          ( ! [P: $i] :
              ( ! [Q: $i] :
                  ~ ( ordered_by @ O @ P @ Q )
              | ( incident_o @ P @ O ) )
          & ! [P: $i,Q: $i] :
              ( ~ ( ordered_by @ O @ P @ Q )
              | ( incident_o @ Q @ O ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(142,plain,
    ( ( ! [O: $i] :
          ( ! [SY129: $i] :
              ( ~ ( incident_c @ SY129 @ ( sK13_C @ O ) )
              | ( incident_o @ SY129 @ O ) )
          & ! [SY130: $i] :
              ( ~ ( incident_o @ SY130 @ O )
              | ( incident_c @ SY130 @ ( sK13_C @ O ) ) )
          & ( open @ ( sK13_C @ O ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(143,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ! [R: $i,O: $i] :
              ( ! [C: $i] :
                  ( ( ( ~ ( incident_c @ ( sK12_P @ C @ O @ R @ Q @ P ) @ C )
                      | ~ ( incident_o @ ( sK12_P @ C @ O @ R @ Q @ P ) @ O ) )
                    & ( ( incident_c @ ( sK12_P @ C @ O @ R @ Q @ P ) @ C )
                      | ( incident_o @ ( sK12_P @ C @ O @ R @ Q @ P ) @ O ) ) )
                  | ~ ( between_c @ C @ P @ Q @ R ) )
              | ( between_o @ O @ P @ Q @ R ) )
          & ! [R: $i,O: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ! [SY127: $i] :
                    ( ~ ( incident_c @ SY127 @ ( sK11_C @ O @ R @ Q @ P ) )
                    | ( incident_o @ SY127 @ O ) )
                & ! [SY128: $i] :
                    ( ~ ( incident_o @ SY128 @ O )
                    | ( incident_c @ SY128 @ ( sK11_C @ O @ R @ Q @ P ) ) )
                & ( between_c @ ( sK11_C @ O @ R @ Q @ P ) @ P @ Q @ R ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(144,plain,
    ( ( ! [O: $i] : ( start_point @ ( sK10_P @ O ) @ O ) )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(145,plain,
    ( ( ! [P: $i,Q: $i,C: $i] :
          ( ( P = Q )
          | ~ ( open @ C )
          | ~ ( incident_c @ P @ C )
          | ~ ( incident_c @ Q @ C )
          | ( ! [SY125: $i] :
                ( ~ ( incident_c @ SY125 @ C )
                | ( incident_o @ SY125 @ ( sK9_O @ C @ Q @ P ) ) )
            & ! [SY126: $i] :
                ( ~ ( incident_o @ SY126 @ ( sK9_O @ C @ Q @ P ) )
                | ( incident_c @ SY126 @ C ) )
            & ( ordered_by @ ( sK9_O @ C @ Q @ P ) @ P @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[96]) ).

thf(146,plain,
    ( ( ! [O1: $i,O2: $i] :
          ( ( ( ~ ( ordered_by @ O1 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) )
              | ~ ( ordered_by @ O2 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) ) )
            & ( ( ordered_by @ O1 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) )
              | ( ordered_by @ O2 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) ) ) )
          | ( O1 = O2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(147,plain,
    ( ( ! [C: $i,O: $i] :
          ( ( ( ~ ( incident_c @ ( sK6_P @ O @ C ) @ C )
              | ~ ( incident_o @ ( sK6_P @ O @ C ) @ O ) )
            & ( ( incident_c @ ( sK6_P @ O @ C ) @ C )
              | ( incident_o @ ( sK6_P @ O @ C ) @ O ) ) )
          | ( C
            = ( underlying_curve @ O ) ) )
      & ! [C: $i,O: $i] :
          ( ( C
           != ( underlying_curve @ O ) )
          | ( ! [P: $i] :
                ( ~ ( incident_c @ P @ C )
                | ( incident_o @ P @ O ) )
            & ! [P: $i] :
                ( ~ ( incident_o @ P @ O )
                | ( incident_c @ P @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[94]) ).

thf(148,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i,P: $i] :
              ( ~ ( connect @ X @ Y @ P )
              | ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) ) )
          & ! [Y: $i,P: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) )
              | ( connect @ X @ Y @ P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[93]) ).

thf(149,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( once @ ( at_the_same_time @ A @ B ) )
          | ( once @ ( at_the_same_time @ B @ A ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( once @ ( at_the_same_time @ B @ A ) )
          | ( once @ ( at_the_same_time @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[92]) ).

thf(150,plain,
    ( ( ! [A: $i] :
          ( ! [B: $i,C: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) )
              | ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) ) )
          & ! [B: $i,C: $i] :
              ( ~ ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) )
              | ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[91]) ).

thf(151,plain,
    ( ( ! [A: $i] :
          ( ~ ( once @ A )
          | ( once @ ( at_the_same_time @ A @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(152,plain,
    ( ( ! [A: $i] :
          ( ! [B: $i] :
              ~ ( once @ ( at_the_same_time @ A @ B ) )
          | ( once @ A ) )
      & ! [A: $i,B: $i] :
          ( ~ ( once @ ( at_the_same_time @ A @ B ) )
          | ( once @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[89]) ).

thf(153,plain,
    ( ( ! [X: $i,P: $i] :
          ( ~ ( incident_o @ P @ ( trajectory_of @ X ) )
          | ( once @ ( at @ X @ P ) ) )
      & ! [X: $i,P: $i] :
          ( ~ ( once @ ( at @ X @ P ) )
          | ( incident_o @ P @ ( trajectory_of @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(154,plain,
    ( ( ! [X: $i] :
          ( ( trajectory_of @ X )
          = ( sK5_O @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(155,plain,
    ( ( ! [P1: $i,P2: $i,Q1: $i,Q2: $i,X: $i,Y: $i] :
          ( ~ ( once @ ( at_the_same_time @ ( at @ X @ P1 ) @ ( at @ Y @ P2 ) ) )
          | ~ ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) )
          | ~ ( ordered_by @ ( trajectory_of @ X ) @ P1 @ Q1 )
          | ~ ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(156,plain,
    ( ( ! [A: $i] :
          ( ~ ( once @ A )
          | ! [X: $i] : ( once @ ( at_the_same_time @ A @ ( at @ X @ ( sK4_P @ X @ A ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(157,plain,
    ( ( connect @ sK2_SY121 @ sK3_SY123 @ sK1_P )
    = $true ),
    inference(copy,[status(thm)],[79]) ).

thf(158,plain,
    ( ( ~ ( incident_o @ sK1_P @ ( trajectory_of @ sK2_SY121 ) ) )
    = $true ),
    inference(copy,[status(thm)],[83]) ).

thf(159,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
                | ( once @ ( at_the_same_time @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( once @ ( at_the_same_time @ SX1 @ SX0 ) )
                | ( once @ ( at_the_same_time @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(160,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                        | ~ ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
                    | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                        | ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
                | ( SX0
                  = ( underlying_curve @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0
                 != ( underlying_curve @ SX1 ) )
                | ~ ( ~ ! [SX2: $i] :
                          ( ~ ( incident_c @ SX2 @ SX0 )
                          | ( incident_o @ SX2 @ SX1 ) )
                    | ~ ! [SX2: $i] :
                          ( ~ ( incident_o @ SX2 @ SX1 )
                          | ( incident_c @ SX2 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[147]) ).

thf(161,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ( ( SX0
                               != ( sK15_Q @ SX1 @ SX0 ) ) )
                          | ~ ( incident_o @ ( sK15_Q @ SX1 @ SX0 ) @ SX1 ) )
                    | ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK15_Q @ SX1 @ SX0 ) ) )
                | ~ ( incident_o @ SX0 @ SX1 )
                | ( start_point @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( start_point @ SX0 @ SX1 )
                      | ! [SX2: $i] :
                          ( ( SX0 = SX2 )
                          | ~ ( incident_o @ SX2 @ SX1 )
                          | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( start_point @ SX0 @ SX1 )
                      | ( incident_o @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[139]) ).

thf(162,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ SX1 )
                                      | ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ SX1 ) )
                                | ~ ( incident_c @ SX0 @ ( sK26_C1 @ SX1 @ SX0 ) ) )
                          | ~ ( incident_c @ SX0 @ ( sK27_SY132 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ ( sK27_SY132 @ SX1 @ SX0 ) )
                          | ~ ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ ( sK26_C1 @ SX1 @ SX0 ) ) ) )
                | ~ ( incident_c @ SX0 @ SX1 )
                | ( end_point @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( end_point @ SX0 @ SX1 )
                      | ! [SX2: $i,SX3: $i] :
                          ( ~ ( part_of @ SX2 @ SX1 )
                          | ~ ( part_of @ SX3 @ SX1 )
                          | ~ ( incident_c @ SX0 @ SX2 )
                          | ~ ( incident_c @ SX0 @ SX3 )
                          | ( part_of @ SX2 @ SX3 )
                          | ( part_of @ SX3 @ SX2 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( end_point @ SX0 @ SX1 )
                      | ( incident_c @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[123]) ).

thf(163,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                              ( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX1 @ SX2 )
                              | ( ordered_by @ SX0 @ SX3 @ SX2 ) )
                        | ~ ! [SX2: $i] :
                              ( ! [SX3: $i] :
                                  ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX1 @ SX2 )
                              | ( ordered_by @ SX0 @ SX2 @ SX1 ) ) )
                  | ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                              ( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX3 @ SX2 ) )
                        | ~ ! [SX2: $i,SX3: $i] :
                              ( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX2 @ SX1 ) ) ) )
            | ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
                        | ~ ( ordered_by @ SX0 @ SX2 @ SX3 )
                        | ( between_o @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ( ordered_by @ SX0 @ SX3 @ SX2 )
                        | ~ ( ordered_by @ SX0 @ SX2 @ SX1 )
                        | ( between_o @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[138]) ).

thf(164,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( ordered_by @ SX0 @ ( sK7_P @ SX1 @ SX0 ) @ ( sK8_SY124 @ SX1 @ SX0 ) )
                  | ~ ( ordered_by @ SX1 @ ( sK7_P @ SX1 @ SX0 ) @ ( sK8_SY124 @ SX1 @ SX0 ) ) )
              | ~ ( ( ordered_by @ SX0 @ ( sK7_P @ SX1 @ SX0 ) @ ( sK8_SY124 @ SX1 @ SX0 ) )
                  | ( ordered_by @ SX1 @ ( sK7_P @ SX1 @ SX0 ) @ ( sK8_SY124 @ SX1 @ SX0 ) ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[146]) ).

thf(165,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX1 @ SX0 )
          | ~ ( ~ ( ( SX1
                   != ( sK19_Q @ SX1 @ SX0 ) ) )
              | ~ ( end_point @ ( sK19_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[133]) ).

thf(166,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( closed @ SX0 )
                | ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( end_point @ ( sK24_P @ SX0 ) @ SX0 )
                | ( closed @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126]) ).

thf(167,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) )
                | ( once @ ( at @ SX0 @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( once @ ( at @ SX0 @ SX1 ) )
                | ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(168,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( incident_c @ ( sK17_P @ SX1 @ SX0 ) @ SX0 )
                  | ~ ( incident_c @ ( sK17_P @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ( ( incident_c @ ( sK17_P @ SX1 @ SX0 ) @ SX0 )
                  | ( incident_c @ ( sK17_P @ SX1 @ SX0 ) @ SX1 ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[136]) ).

thf(169,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( connect @ SX0 @ SX1 @ SX2 )
                  | ( once @ ( at_the_same_time @ ( at @ SX0 @ SX2 ) @ ( at @ SX1 @ SX2 ) ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( once @ ( at_the_same_time @ ( at @ SX0 @ SX2 ) @ ( at @ SX1 @ SX2 ) ) )
                  | ( connect @ SX0 @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[148]) ).

thf(170,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 )
                | ( open @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( open @ SX0 )
                | ( end_point @ ( sK23_P @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[127]) ).

thf(171,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX1 = SX3 )
                  | ! [SX4: $i] :
                      ( ~ ( end_point @ SX1 @ SX4 )
                      | ~ ( part_of @ SX4 @ SX0 )
                      | ~ ( end_point @ SX3 @ SX4 )
                      | ~ ( inner_point @ SX2 @ SX4 ) )
                  | ( between_c @ SX0 @ SX1 @ SX2 @ SX3 ) )
            | ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
                        | ( SX1 != SX3 ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SX1 @ ( sK16_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                        | ~ ( part_of @ ( sK16_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
                                  | ~ ( end_point @ SX3 @ ( sK16_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                            | ~ ( inner_point @ SX2 @ ( sK16_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[137]) ).

thf(172,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ~ ( ~ ! [SX1: $i] :
                        ( ~ ( incident_c @ SX1 @ ( sK13_C @ SX0 ) )
                        | ( incident_o @ SX1 @ SX0 ) )
                  | ~ ! [SX1: $i] :
                        ( ~ ( incident_o @ SX1 @ SX0 )
                        | ( incident_c @ SX1 @ ( sK13_C @ SX0 ) ) ) )
            | ~ ( open @ ( sK13_C @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[142]) ).

thf(173,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SX0 @ SX1 ) @ SX2 ) )
                  | ( once @ ( at_the_same_time @ SX0 @ ( at_the_same_time @ SX1 @ SX2 ) ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( once @ ( at_the_same_time @ SX0 @ ( at_the_same_time @ SX1 @ SX2 ) ) )
                  | ( once @ ( at_the_same_time @ ( at_the_same_time @ SX0 @ SX1 ) @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[150]) ).

thf(174,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ! [SX4: $i] :
                      ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX4 )
                              | ~ ( incident_o @ ( sK12_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 ) )
                          | ~ ( ( incident_c @ ( sK12_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX4 )
                              | ( incident_o @ ( sK12_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 ) ) )
                      | ~ ( between_c @ SX4 @ SX0 @ SX1 @ SX2 ) )
                  | ( between_o @ SX3 @ SX0 @ SX1 @ SX2 ) )
            | ~ ! [SX2: $i,SX3: $i] :
                  ( ~ ( between_o @ SX3 @ SX0 @ SX1 @ SX2 )
                  | ~ ( ~ ~ ( ~ ! [SX4: $i] :
                                  ( ~ ( incident_c @ SX4 @ ( sK11_C @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                  | ( incident_o @ SX4 @ SX3 ) )
                            | ~ ! [SX4: $i] :
                                  ( ~ ( incident_o @ SX4 @ SX3 )
                                  | ( incident_c @ SX4 @ ( sK11_C @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
                      | ~ ( between_c @ ( sK11_C @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143]) ).

thf(175,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                            | ~ ( incident_c @ ( sK25_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
                      | ~ ( ~ ( end_point @ ( sK25_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ~ ( end_point @ ( sK25_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                  | ~ ( incident_c @ SX0 @ SX1 )
                  | ~ ( incident_c @ SX0 @ SX2 )
                  | ( meet @ SX0 @ SX1 @ SX2 ) )
            | ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( meet @ SX0 @ SX1 @ SX2 )
                        | ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SX1 )
                                  | ~ ( incident_c @ SX3 @ SX2 )
                                  | ( end_point @ SX3 @ SX1 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SX1 )
                                  | ~ ( incident_c @ SX3 @ SX2 )
                                  | ( end_point @ SX3 @ SX2 ) ) ) )
                  | ~ ~ ( ~ ! [SX1: $i] :
                              ( ! [SX2: $i] :
                                  ~ ( meet @ SX0 @ SX1 @ SX2 )
                              | ( incident_c @ SX0 @ SX1 ) )
                        | ~ ! [SX1: $i,SX2: $i] :
                              ( ~ ( meet @ SX0 @ SX1 @ SX2 )
                              | ( incident_c @ SX0 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[125]) ).

thf(176,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( ~ ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                      | ~ ( ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                          | ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                  | ( SX0
                    = ( sum @ SX1 @ SX2 ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ( SX0
                   != ( sum @ SX1 @ SX2 ) )
                  | ~ ( ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SX0 )
                            | ( incident_c @ SX3 @ SX1 )
                            | ( incident_c @ SX3 @ SX2 ) )
                      | ~ ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SX1 )
                                  | ( incident_c @ SX3 @ SX0 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SX2 )
                                  | ( incident_c @ SX3 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[122]) ).

thf(177,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX1 @ SX0 )
          | ~ ( ( SX0
               != ( sum @ ( sK20_C1 @ SX1 @ SX0 ) @ ( sK21_SY131 @ SX1 @ SX0 ) ) )
              | ~ ( meet @ SX1 @ ( sK20_C1 @ SX1 @ SX0 ) @ ( sK21_SY131 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[131]) ).

thf(178,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ( ( SX0
                               != ( sK14_Q @ SX1 @ SX0 ) ) )
                          | ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
                    | ~ ~ ( ordered_by @ SX1 @ ( sK14_Q @ SX1 @ SX0 ) @ SX0 ) )
                | ~ ( incident_o @ SX0 @ SX1 )
                | ( finish_point @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( finish_point @ SX0 @ SX1 )
                      | ! [SX2: $i] :
                          ( ( SX0 = SX2 )
                          | ~ ( incident_o @ SX2 @ SX1 )
                          | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( finish_point @ SX0 @ SX1 )
                      | ( incident_o @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[140]) ).

thf(179,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( incident_c @ SX0 @ SX1 )
                | ( end_point @ SX0 @ SX1 )
                | ( inner_point @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( inner_point @ SX0 @ SX1 )
                      | ( incident_c @ SX0 @ SX1 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( inner_point @ SX0 @ SX1 )
                      | ~ ( end_point @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[124]) ).

thf(180,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
                | ( once @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
                | ( once @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[152]) ).

thf(181,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i] :
                  ( ! [SX2: $i] :
                      ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
                  | ( incident_o @ SX1 @ SX0 ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
                  | ( incident_o @ SX2 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[141]) ).

thf(182,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX1 )
                    | ~ ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX0 ) )
                | ( part_of @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( part_of @ SX1 @ SX0 )
                | ! [SX2: $i] :
                    ( ~ ( incident_c @ SX2 @ SX1 )
                    | ( incident_c @ SX2 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[121]) ).

thf(183,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( SX0 = SX1 )
          | ~ ( open @ SX2 )
          | ~ ( incident_c @ SX0 @ SX2 )
          | ~ ( incident_c @ SX1 @ SX2 )
          | ~ ( ~ ~ ( ~ ! [SX3: $i] :
                          ( ~ ( incident_c @ SX3 @ SX2 )
                          | ( incident_o @ SX3 @ ( sK9_O @ SX2 @ SX1 @ SX0 ) ) )
                    | ~ ! [SX3: $i] :
                          ( ~ ( incident_o @ SX3 @ ( sK9_O @ SX2 @ SX1 @ SX0 ) )
                          | ( incident_c @ SX3 @ SX2 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[145]) ).

thf(184,plain,
    ! [SV1: $i] :
      ( ( ! [SY133: $i] :
            ( ( SY133 = SV1 )
            | ~ ( part_of @ SY133 @ SV1 )
            | ( open @ SY133 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[128]) ).

thf(185,plain,
    ! [SV2: $i] :
      ( ( ! [SY134: $i,SY135: $i,SY136: $i] :
            ( ~ ( part_of @ SY134 @ SV2 )
            | ~ ( part_of @ SY135 @ SV2 )
            | ~ ( part_of @ SY136 @ SV2 )
            | ! [P: $i] :
                ( ~ ( end_point @ P @ SY134 )
                | ~ ( end_point @ P @ SY135 )
                | ~ ( end_point @ P @ SY136 ) )
            | ( part_of @ SY136 @ SY134 )
            | ( part_of @ SY134 @ SY136 )
            | ( part_of @ SY135 @ SY134 )
            | ( part_of @ SY134 @ SY135 )
            | ( part_of @ SY135 @ SY136 )
            | ( part_of @ SY136 @ SY135 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[129]) ).

thf(186,plain,
    ! [SV3: $i] :
      ( ( inner_point @ ( sK22_P @ SV3 ) @ SV3 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[130]) ).

thf(187,plain,
    ! [SV4: $i] :
      ( ( ! [SY138: $i,SY139: $i,SY140: $i] :
            ( ~ ( end_point @ SY138 @ SV4 )
            | ~ ( end_point @ SY139 @ SV4 )
            | ~ ( end_point @ SY140 @ SV4 )
            | ( SY139 = SY140 )
            | ( SY138 = SY139 )
            | ( SY138 = SY140 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[132]) ).

thf(188,plain,
    ! [SV5: $i] :
      ( ( ! [SY141: $i,SY142: $i] :
            ( ~ ( closed @ SV5 )
            | ! [P: $i] :
                ~ ( meet @ P @ SY141 @ SY142 )
            | ( SV5
             != ( sum @ SY141 @ SY142 ) )
            | ! [Q: $i] :
                ( ~ ( end_point @ Q @ SY141 )
                | ( meet @ Q @ SY141 @ SY142 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[134]) ).

thf(189,plain,
    ! [SV6: $i] :
      ( ( ! [SY145: $i] :
            ( ! [SY146: $i] :
                ~ ( meet @ SY146 @ SV6 @ SY145 )
            | ( ( sK18_C @ SY145 @ SV6 )
              = ( sum @ SV6 @ SY145 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[135]) ).

thf(190,plain,
    ! [SV7: $i] :
      ( ( start_point @ ( sK10_P @ SV7 ) @ SV7 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[144]) ).

thf(191,plain,
    ! [SV8: $i] :
      ( ( ~ ( once @ SV8 )
        | ( once @ ( at_the_same_time @ SV8 @ SV8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[151]) ).

thf(192,plain,
    ! [SV9: $i] :
      ( ( ( trajectory_of @ SV9 )
        = ( sK5_O @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[154]) ).

thf(193,plain,
    ! [SV10: $i] :
      ( ( ! [SY147: $i,SY148: $i,SY149: $i,SY150: $i,SY151: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SY150 @ SV10 ) @ ( at @ SY151 @ SY147 ) ) )
            | ~ ( once @ ( at_the_same_time @ ( at @ SY150 @ SY148 ) @ ( at @ SY151 @ SY149 ) ) )
            | ~ ( ordered_by @ ( trajectory_of @ SY150 ) @ SV10 @ SY148 )
            | ~ ( ordered_by @ ( trajectory_of @ SY151 ) @ SY149 @ SY147 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[155]) ).

thf(194,plain,
    ! [SV11: $i] :
      ( ( ~ ( once @ SV11 )
        | ! [SY152: $i] : ( once @ ( at_the_same_time @ SV11 @ ( at @ SY152 @ ( sK4_P @ SY152 @ SV11 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[156]) ).

thf(195,plain,
    ( ( incident_o @ sK1_P @ ( trajectory_of @ sK2_SY121 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[158]) ).

thf(196,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ ( at_the_same_time @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX1 @ SX0 ) )
            | ( once @ ( at_the_same_time @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[159]) ).

thf(197,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                    | ~ ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                    | ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
            | ( SX0
              = ( underlying_curve @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0
             != ( underlying_curve @ SX1 ) )
            | ~ ( ~ ! [SX2: $i] :
                      ( ~ ( incident_c @ SX2 @ SX0 )
                      | ( incident_o @ SX2 @ SX1 ) )
                | ~ ! [SX2: $i] :
                      ( ~ ( incident_o @ SX2 @ SX1 )
                      | ( incident_c @ SX2 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[160]) ).

thf(198,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SX0
                           != ( sK15_Q @ SX1 @ SX0 ) ) )
                      | ~ ( incident_o @ ( sK15_Q @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK15_Q @ SX1 @ SX0 ) ) )
            | ~ ( incident_o @ SX0 @ SX1 )
            | ( start_point @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( start_point @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ( SX0 = SX2 )
                      | ~ ( incident_o @ SX2 @ SX1 )
                      | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( start_point @ SX0 @ SX1 )
                  | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[161]) ).

thf(199,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK26_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK27_SY132 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ ( sK27_SY132 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ ( sK26_C1 @ SX1 @ SX0 ) ) ) )
            | ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( end_point @ SX0 @ SX1 )
                  | ! [SX2: $i,SX3: $i] :
                      ( ~ ( part_of @ SX2 @ SX1 )
                      | ~ ( part_of @ SX3 @ SX1 )
                      | ~ ( incident_c @ SX0 @ SX2 )
                      | ~ ( incident_c @ SX0 @ SX3 )
                      | ( part_of @ SX2 @ SX3 )
                      | ( part_of @ SX3 @ SX2 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( end_point @ SX0 @ SX1 )
                  | ( incident_c @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[162]) ).

thf(200,plain,
    ! [SV12: $i] :
      ( ( ! [SY153: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY154: $i,SY155: $i] :
                                ( ~ ( between_o @ SV12 @ SY153 @ SY154 @ SY155 )
                                | ( ordered_by @ SV12 @ SY153 @ SY154 )
                                | ( ordered_by @ SV12 @ SY155 @ SY154 ) )
                          | ~ ! [SY156: $i] :
                                ( ! [SY157: $i] :
                                    ~ ( between_o @ SV12 @ SY153 @ SY156 @ SY157 )
                                | ( ordered_by @ SV12 @ SY153 @ SY156 )
                                | ( ordered_by @ SV12 @ SY156 @ SY153 ) ) )
                    | ~ ~ ( ~ ! [SY158: $i,SY159: $i] :
                                ( ~ ( between_o @ SV12 @ SY153 @ SY158 @ SY159 )
                                | ( ordered_by @ SV12 @ SY158 @ SY159 )
                                | ( ordered_by @ SV12 @ SY159 @ SY158 ) )
                          | ~ ! [SY160: $i,SY161: $i] :
                                ( ~ ( between_o @ SV12 @ SY153 @ SY160 @ SY161 )
                                | ( ordered_by @ SV12 @ SY160 @ SY161 )
                                | ( ordered_by @ SV12 @ SY160 @ SY153 ) ) ) )
              | ~ ~ ( ~ ! [SY162: $i,SY163: $i] :
                          ( ~ ( ordered_by @ SV12 @ SY153 @ SY162 )
                          | ~ ( ordered_by @ SV12 @ SY162 @ SY163 )
                          | ( between_o @ SV12 @ SY153 @ SY162 @ SY163 ) )
                    | ~ ! [SY164: $i,SY165: $i] :
                          ( ~ ( ordered_by @ SV12 @ SY165 @ SY164 )
                          | ~ ( ordered_by @ SV12 @ SY164 @ SY153 )
                          | ( between_o @ SV12 @ SY153 @ SY164 @ SY165 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[163]) ).

thf(201,plain,
    ! [SV13: $i] :
      ( ( ! [SY166: $i] :
            ( ~ ( ~ ( ~ ( ordered_by @ SV13 @ ( sK7_P @ SY166 @ SV13 ) @ ( sK8_SY124 @ SY166 @ SV13 ) )
                    | ~ ( ordered_by @ SY166 @ ( sK7_P @ SY166 @ SV13 ) @ ( sK8_SY124 @ SY166 @ SV13 ) ) )
                | ~ ( ( ordered_by @ SV13 @ ( sK7_P @ SY166 @ SV13 ) @ ( sK8_SY124 @ SY166 @ SV13 ) )
                    | ( ordered_by @ SY166 @ ( sK7_P @ SY166 @ SV13 ) @ ( sK8_SY124 @ SY166 @ SV13 ) ) ) )
            | ( SV13 = SY166 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[164]) ).

thf(202,plain,
    ! [SV14: $i] :
      ( ( ! [SY167: $i] :
            ( ~ ( end_point @ SY167 @ SV14 )
            | ~ ( ~ ( ( SY167
                     != ( sK19_Q @ SY167 @ SV14 ) ) )
                | ~ ( end_point @ ( sK19_Q @ SY167 @ SV14 ) @ SV14 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[165]) ).

thf(203,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( end_point @ ( sK24_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[166]) ).

thf(204,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) )
            | ( once @ ( at @ SX0 @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at @ SX0 @ SX1 ) )
            | ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[167]) ).

thf(205,plain,
    ! [SV15: $i] :
      ( ( ! [SY168: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK17_P @ SY168 @ SV15 ) @ SV15 )
                    | ~ ( incident_c @ ( sK17_P @ SY168 @ SV15 ) @ SY168 ) )
                | ~ ( ( incident_c @ ( sK17_P @ SY168 @ SV15 ) @ SV15 )
                    | ( incident_c @ ( sK17_P @ SY168 @ SV15 ) @ SY168 ) ) )
            | ( SV15 = SY168 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[168]) ).

thf(206,plain,
    ! [SV16: $i] :
      ( ( ~ ( ~ ! [SY169: $i,SY170: $i] :
                  ( ~ ( connect @ SV16 @ SY169 @ SY170 )
                  | ( once @ ( at_the_same_time @ ( at @ SV16 @ SY170 ) @ ( at @ SY169 @ SY170 ) ) ) )
            | ~ ! [SY171: $i,SY172: $i] :
                  ( ~ ( once @ ( at_the_same_time @ ( at @ SV16 @ SY172 ) @ ( at @ SY171 @ SY172 ) ) )
                  | ( connect @ SV16 @ SY171 @ SY172 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[169]) ).

thf(207,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK23_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[170]) ).

thf(208,plain,
    ! [SV17: $i] :
      ( ( ! [SY173: $i] :
            ~ ( ~ ! [SY174: $i,SY175: $i] :
                    ( ( SY173 = SY175 )
                    | ! [SY176: $i] :
                        ( ~ ( end_point @ SY173 @ SY176 )
                        | ~ ( part_of @ SY176 @ SV17 )
                        | ~ ( end_point @ SY175 @ SY176 )
                        | ~ ( inner_point @ SY174 @ SY176 ) )
                    | ( between_c @ SV17 @ SY173 @ SY174 @ SY175 ) )
              | ~ ~ ( ~ ! [SY177: $i,SY178: $i] :
                          ( ~ ( between_c @ SV17 @ SY173 @ SY177 @ SY178 )
                          | ( SY173 != SY178 ) )
                    | ~ ! [SY179: $i,SY180: $i] :
                          ( ~ ( between_c @ SV17 @ SY173 @ SY179 @ SY180 )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SY173 @ ( sK16_Cpp @ SY180 @ SY179 @ SY173 @ SV17 ) )
                                          | ~ ( part_of @ ( sK16_Cpp @ SY180 @ SY179 @ SY173 @ SV17 ) @ SV17 ) )
                                    | ~ ( end_point @ SY180 @ ( sK16_Cpp @ SY180 @ SY179 @ SY173 @ SV17 ) ) )
                              | ~ ( inner_point @ SY179 @ ( sK16_Cpp @ SY180 @ SY179 @ SY173 @ SV17 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[171]) ).

thf(209,plain,
    ! [SV18: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY181: $i] :
                        ( ~ ( incident_c @ SY181 @ ( sK13_C @ SV18 ) )
                        | ( incident_o @ SY181 @ SV18 ) )
                  | ~ ! [SY182: $i] :
                        ( ~ ( incident_o @ SY182 @ SV18 )
                        | ( incident_c @ SY182 @ ( sK13_C @ SV18 ) ) ) )
            | ~ ( open @ ( sK13_C @ SV18 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[172]) ).

thf(210,plain,
    ! [SV19: $i] :
      ( ( ~ ( ~ ! [SY183: $i,SY184: $i] :
                  ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SY183 ) @ SY184 ) )
                  | ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SY183 @ SY184 ) ) ) )
            | ~ ! [SY185: $i,SY186: $i] :
                  ( ~ ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SY185 @ SY186 ) ) )
                  | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SY185 ) @ SY186 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[173]) ).

thf(211,plain,
    ! [SV20: $i] :
      ( ( ! [SY187: $i] :
            ~ ( ~ ! [SY188: $i,SY189: $i] :
                    ( ! [SY190: $i] :
                        ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY190 @ SY189 @ SY188 @ SY187 @ SV20 ) @ SY190 )
                                | ~ ( incident_o @ ( sK12_P @ SY190 @ SY189 @ SY188 @ SY187 @ SV20 ) @ SY189 ) )
                            | ~ ( ( incident_c @ ( sK12_P @ SY190 @ SY189 @ SY188 @ SY187 @ SV20 ) @ SY190 )
                                | ( incident_o @ ( sK12_P @ SY190 @ SY189 @ SY188 @ SY187 @ SV20 ) @ SY189 ) ) )
                        | ~ ( between_c @ SY190 @ SV20 @ SY187 @ SY188 ) )
                    | ( between_o @ SY189 @ SV20 @ SY187 @ SY188 ) )
              | ~ ! [SY191: $i,SY192: $i] :
                    ( ~ ( between_o @ SY192 @ SV20 @ SY187 @ SY191 )
                    | ~ ( ~ ~ ( ~ ! [SY193: $i] :
                                    ( ~ ( incident_c @ SY193 @ ( sK11_C @ SY192 @ SY191 @ SY187 @ SV20 ) )
                                    | ( incident_o @ SY193 @ SY192 ) )
                              | ~ ! [SY194: $i] :
                                    ( ~ ( incident_o @ SY194 @ SY192 )
                                    | ( incident_c @ SY194 @ ( sK11_C @ SY192 @ SY191 @ SY187 @ SV20 ) ) ) )
                        | ~ ( between_c @ ( sK11_C @ SY192 @ SY191 @ SY187 @ SV20 ) @ SV20 @ SY187 @ SY191 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[174]) ).

thf(212,plain,
    ! [SV21: $i] :
      ( ( ~ ( ~ ! [SY195: $i,SY196: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY195 )
                            | ~ ( incident_c @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY196 ) )
                      | ~ ( ~ ( end_point @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY195 )
                          | ~ ( end_point @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY196 ) ) )
                  | ~ ( incident_c @ SV21 @ SY195 )
                  | ~ ( incident_c @ SV21 @ SY196 )
                  | ( meet @ SV21 @ SY195 @ SY196 ) )
            | ~ ~ ( ~ ! [SY197: $i,SY198: $i] :
                        ( ~ ( meet @ SV21 @ SY197 @ SY198 )
                        | ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY197 )
                                  | ~ ( incident_c @ SX3 @ SY198 )
                                  | ( end_point @ SX3 @ SY197 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY197 )
                                  | ~ ( incident_c @ SX3 @ SY198 )
                                  | ( end_point @ SX3 @ SY198 ) ) ) )
                  | ~ ~ ( ~ ! [SY201: $i] :
                              ( ! [SY202: $i] :
                                  ~ ( meet @ SV21 @ SY201 @ SY202 )
                              | ( incident_c @ SV21 @ SY201 ) )
                        | ~ ! [SY203: $i,SY204: $i] :
                              ( ~ ( meet @ SV21 @ SY203 @ SY204 )
                              | ( incident_c @ SV21 @ SY204 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[175]) ).

thf(213,plain,
    ! [SV22: $i] :
      ( ( ~ ( ~ ! [SY205: $i,SY206: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                                | ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY205 ) )
                            | ~ ( ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                                | ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY206 ) ) )
                      | ~ ( ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                          | ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY205 )
                          | ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY206 ) ) )
                  | ( SV22
                    = ( sum @ SY205 @ SY206 ) ) )
            | ~ ! [SY207: $i,SY208: $i] :
                  ( ( SV22
                   != ( sum @ SY207 @ SY208 ) )
                  | ~ ( ~ ! [SY209: $i] :
                            ( ~ ( incident_c @ SY209 @ SV22 )
                            | ( incident_c @ SY209 @ SY207 )
                            | ( incident_c @ SY209 @ SY208 ) )
                      | ~ ~ ( ~ ! [SY210: $i] :
                                  ( ~ ( incident_c @ SY210 @ SY207 )
                                  | ( incident_c @ SY210 @ SV22 ) )
                            | ~ ! [SY211: $i] :
                                  ( ~ ( incident_c @ SY211 @ SY208 )
                                  | ( incident_c @ SY211 @ SV22 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[176]) ).

thf(214,plain,
    ! [SV23: $i] :
      ( ( ! [SY212: $i] :
            ( ~ ( inner_point @ SY212 @ SV23 )
            | ~ ( ( SV23
                 != ( sum @ ( sK20_C1 @ SY212 @ SV23 ) @ ( sK21_SY131 @ SY212 @ SV23 ) ) )
                | ~ ( meet @ SY212 @ ( sK20_C1 @ SY212 @ SV23 ) @ ( sK21_SY131 @ SY212 @ SV23 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[177]) ).

thf(215,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SX0
                           != ( sK14_Q @ SX1 @ SX0 ) ) )
                      | ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ~ ( ordered_by @ SX1 @ ( sK14_Q @ SX1 @ SX0 ) @ SX0 ) )
            | ~ ( incident_o @ SX0 @ SX1 )
            | ( finish_point @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( finish_point @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ( SX0 = SX2 )
                      | ~ ( incident_o @ SX2 @ SX1 )
                      | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( finish_point @ SX0 @ SX1 )
                  | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[178]) ).

thf(216,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 )
            | ( inner_point @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( inner_point @ SX0 @ SX1 )
                  | ( incident_c @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( inner_point @ SX0 @ SX1 )
                  | ~ ( end_point @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[179]) ).

thf(217,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[180]) ).

thf(218,plain,
    ! [SV24: $i] :
      ( ( ~ ( ~ ! [SY213: $i] :
                  ( ! [SY214: $i] :
                      ~ ( ordered_by @ SV24 @ SY213 @ SY214 )
                  | ( incident_o @ SY213 @ SV24 ) )
            | ~ ! [SY215: $i,SY216: $i] :
                  ( ~ ( ordered_by @ SV24 @ SY215 @ SY216 )
                  | ( incident_o @ SY216 @ SV24 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[181]) ).

thf(219,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX0 ) )
            | ( part_of @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( part_of @ SX1 @ SX0 )
            | ! [SX2: $i] :
                ( ~ ( incident_c @ SX2 @ SX1 )
                | ( incident_c @ SX2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[182]) ).

thf(220,plain,
    ! [SV25: $i] :
      ( ( ! [SY217: $i,SY218: $i] :
            ( ( SV25 = SY217 )
            | ~ ( open @ SY218 )
            | ~ ( incident_c @ SV25 @ SY218 )
            | ~ ( incident_c @ SY217 @ SY218 )
            | ~ ( ~ ~ ( ~ ! [SY219: $i] :
                            ( ~ ( incident_c @ SY219 @ SY218 )
                            | ( incident_o @ SY219 @ ( sK9_O @ SY218 @ SY217 @ SV25 ) ) )
                      | ~ ! [SY220: $i] :
                            ( ~ ( incident_o @ SY220 @ ( sK9_O @ SY218 @ SY217 @ SV25 ) )
                            | ( incident_c @ SY220 @ SY218 ) ) )
                | ~ ( ordered_by @ ( sK9_O @ SY218 @ SY217 @ SV25 ) @ SV25 @ SY217 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(221,plain,
    ! [SV1: $i,SV26: $i] :
      ( ( ( SV26 = SV1 )
        | ~ ( part_of @ SV26 @ SV1 )
        | ( open @ SV26 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[184]) ).

thf(222,plain,
    ! [SV2: $i,SV27: $i] :
      ( ( ! [SY221: $i,SY222: $i] :
            ( ~ ( part_of @ SV27 @ SV2 )
            | ~ ( part_of @ SY221 @ SV2 )
            | ~ ( part_of @ SY222 @ SV2 )
            | ! [SY223: $i] :
                ( ~ ( end_point @ SY223 @ SV27 )
                | ~ ( end_point @ SY223 @ SY221 )
                | ~ ( end_point @ SY223 @ SY222 ) )
            | ( part_of @ SY222 @ SV27 )
            | ( part_of @ SV27 @ SY222 )
            | ( part_of @ SY221 @ SV27 )
            | ( part_of @ SV27 @ SY221 )
            | ( part_of @ SY221 @ SY222 )
            | ( part_of @ SY222 @ SY221 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[185]) ).

thf(223,plain,
    ! [SV4: $i,SV28: $i] :
      ( ( ! [SY224: $i,SY225: $i] :
            ( ~ ( end_point @ SV28 @ SV4 )
            | ~ ( end_point @ SY224 @ SV4 )
            | ~ ( end_point @ SY225 @ SV4 )
            | ( SY224 = SY225 )
            | ( SV28 = SY224 )
            | ( SV28 = SY225 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[187]) ).

thf(224,plain,
    ! [SV29: $i,SV5: $i] :
      ( ( ! [SY226: $i] :
            ( ~ ( closed @ SV5 )
            | ! [SY227: $i] :
                ~ ( meet @ SY227 @ SV29 @ SY226 )
            | ( SV5
             != ( sum @ SV29 @ SY226 ) )
            | ! [SY228: $i] :
                ( ~ ( end_point @ SY228 @ SV29 )
                | ( meet @ SY228 @ SV29 @ SY226 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[188]) ).

thf(225,plain,
    ! [SV30: $i,SV6: $i] :
      ( ( ! [SY229: $i] :
            ~ ( meet @ SY229 @ SV6 @ SV30 )
        | ( ( sK18_C @ SV30 @ SV6 )
          = ( sum @ SV6 @ SV30 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[189]) ).

thf(226,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( once @ SV8 ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ SV8 @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[191]) ).

thf(227,plain,
    ! [SV31: $i,SV10: $i] :
      ( ( ! [SY230: $i,SY231: $i,SY232: $i,SY233: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SY232 @ SV10 ) @ ( at @ SY233 @ SV31 ) ) )
            | ~ ( once @ ( at_the_same_time @ ( at @ SY232 @ SY230 ) @ ( at @ SY233 @ SY231 ) ) )
            | ~ ( ordered_by @ ( trajectory_of @ SY232 ) @ SV10 @ SY230 )
            | ~ ( ordered_by @ ( trajectory_of @ SY233 ) @ SY231 @ SV31 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[193]) ).

thf(228,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( once @ SV11 ) )
        = $true )
      | ( ( ! [SY152: $i] : ( once @ ( at_the_same_time @ SV11 @ ( at @ SY152 @ ( sK4_P @ SY152 @ SV11 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[194]) ).

thf(229,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ ( at_the_same_time @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[196]) ).

thf(230,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX1 @ SX0 ) )
            | ( once @ ( at_the_same_time @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[196]) ).

thf(231,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                    | ~ ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                    | ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
            | ( SX0
              = ( underlying_curve @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[197]) ).

thf(232,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0
             != ( underlying_curve @ SX1 ) )
            | ~ ( ~ ! [SX2: $i] :
                      ( ~ ( incident_c @ SX2 @ SX0 )
                      | ( incident_o @ SX2 @ SX1 ) )
                | ~ ! [SX2: $i] :
                      ( ~ ( incident_o @ SX2 @ SX1 )
                      | ( incident_c @ SX2 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[197]) ).

thf(233,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SX0
                           != ( sK15_Q @ SX1 @ SX0 ) ) )
                      | ~ ( incident_o @ ( sK15_Q @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK15_Q @ SX1 @ SX0 ) ) )
            | ~ ( incident_o @ SX0 @ SX1 )
            | ( start_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[198]) ).

thf(234,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( start_point @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ( SX0 = SX2 )
                      | ~ ( incident_o @ SX2 @ SX1 )
                      | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( start_point @ SX0 @ SX1 )
                  | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[198]) ).

thf(235,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK26_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK27_SY132 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ ( sK27_SY132 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ ( sK26_C1 @ SX1 @ SX0 ) ) ) )
            | ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[199]) ).

thf(236,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( end_point @ SX0 @ SX1 )
                  | ! [SX2: $i,SX3: $i] :
                      ( ~ ( part_of @ SX2 @ SX1 )
                      | ~ ( part_of @ SX3 @ SX1 )
                      | ~ ( incident_c @ SX0 @ SX2 )
                      | ~ ( incident_c @ SX0 @ SX3 )
                      | ( part_of @ SX2 @ SX3 )
                      | ( part_of @ SX3 @ SX2 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( end_point @ SX0 @ SX1 )
                  | ( incident_c @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[199]) ).

thf(237,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY234: $i,SY235: $i] :
                              ( ~ ( between_o @ SV12 @ SV32 @ SY234 @ SY235 )
                              | ( ordered_by @ SV12 @ SV32 @ SY234 )
                              | ( ordered_by @ SV12 @ SY235 @ SY234 ) )
                        | ~ ! [SY236: $i] :
                              ( ! [SY237: $i] :
                                  ~ ( between_o @ SV12 @ SV32 @ SY236 @ SY237 )
                              | ( ordered_by @ SV12 @ SV32 @ SY236 )
                              | ( ordered_by @ SV12 @ SY236 @ SV32 ) ) )
                  | ~ ~ ( ~ ! [SY238: $i,SY239: $i] :
                              ( ~ ( between_o @ SV12 @ SV32 @ SY238 @ SY239 )
                              | ( ordered_by @ SV12 @ SY238 @ SY239 )
                              | ( ordered_by @ SV12 @ SY239 @ SY238 ) )
                        | ~ ! [SY240: $i,SY241: $i] :
                              ( ~ ( between_o @ SV12 @ SV32 @ SY240 @ SY241 )
                              | ( ordered_by @ SV12 @ SY240 @ SY241 )
                              | ( ordered_by @ SV12 @ SY240 @ SV32 ) ) ) )
            | ~ ~ ( ~ ! [SY242: $i,SY243: $i] :
                        ( ~ ( ordered_by @ SV12 @ SV32 @ SY242 )
                        | ~ ( ordered_by @ SV12 @ SY242 @ SY243 )
                        | ( between_o @ SV12 @ SV32 @ SY242 @ SY243 ) )
                  | ~ ! [SY244: $i,SY245: $i] :
                        ( ~ ( ordered_by @ SV12 @ SY245 @ SY244 )
                        | ~ ( ordered_by @ SV12 @ SY244 @ SV32 )
                        | ( between_o @ SV12 @ SV32 @ SY244 @ SY245 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[200]) ).

thf(238,plain,
    ! [SV33: $i,SV13: $i] :
      ( ( ~ ( ~ ( ~ ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
                | ~ ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) )
            | ~ ( ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
                | ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) ) )
        | ( SV13 = SV33 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[201]) ).

thf(239,plain,
    ! [SV14: $i,SV34: $i] :
      ( ( ~ ( end_point @ SV34 @ SV14 )
        | ~ ( ~ ( ( SV34
                 != ( sK19_Q @ SV34 @ SV14 ) ) )
            | ~ ( end_point @ ( sK19_Q @ SV34 @ SV14 ) @ SV14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[202]) ).

thf(240,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[203]) ).

thf(241,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( end_point @ ( sK24_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[203]) ).

thf(242,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) )
            | ( once @ ( at @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[204]) ).

thf(243,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at @ SX0 @ SX1 ) )
            | ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[204]) ).

thf(244,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ~ ( ~ ( ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
                | ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) )
            | ~ ( ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
                | ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) ) )
        | ( SV15 = SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[205]) ).

thf(245,plain,
    ! [SV16: $i] :
      ( ( ~ ! [SY169: $i,SY170: $i] :
              ( ~ ( connect @ SV16 @ SY169 @ SY170 )
              | ( once @ ( at_the_same_time @ ( at @ SV16 @ SY170 ) @ ( at @ SY169 @ SY170 ) ) ) )
        | ~ ! [SY171: $i,SY172: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at @ SV16 @ SY172 ) @ ( at @ SY171 @ SY172 ) ) )
              | ( connect @ SV16 @ SY171 @ SY172 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[206]) ).

thf(246,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[207]) ).

thf(247,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK23_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[207]) ).

thf(248,plain,
    ! [SV17: $i,SV36: $i] :
      ( ( ~ ( ~ ! [SY246: $i,SY247: $i] :
                  ( ( SV36 = SY247 )
                  | ! [SY248: $i] :
                      ( ~ ( end_point @ SV36 @ SY248 )
                      | ~ ( part_of @ SY248 @ SV17 )
                      | ~ ( end_point @ SY247 @ SY248 )
                      | ~ ( inner_point @ SY246 @ SY248 ) )
                  | ( between_c @ SV17 @ SV36 @ SY246 @ SY247 ) )
            | ~ ~ ( ~ ! [SY249: $i,SY250: $i] :
                        ( ~ ( between_c @ SV17 @ SV36 @ SY249 @ SY250 )
                        | ( SV36 != SY250 ) )
                  | ~ ! [SY251: $i,SY252: $i] :
                        ( ~ ( between_c @ SV17 @ SV36 @ SY251 @ SY252 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) )
                                        | ~ ( part_of @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) @ SV17 ) )
                                  | ~ ( end_point @ SY252 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) )
                            | ~ ( inner_point @ SY251 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[208]) ).

thf(249,plain,
    ! [SV18: $i] :
      ( ( ~ ~ ( ~ ! [SY181: $i] :
                    ( ~ ( incident_c @ SY181 @ ( sK13_C @ SV18 ) )
                    | ( incident_o @ SY181 @ SV18 ) )
              | ~ ! [SY182: $i] :
                    ( ~ ( incident_o @ SY182 @ SV18 )
                    | ( incident_c @ SY182 @ ( sK13_C @ SV18 ) ) ) )
        | ~ ( open @ ( sK13_C @ SV18 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[209]) ).

thf(250,plain,
    ! [SV19: $i] :
      ( ( ~ ! [SY183: $i,SY184: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SY183 ) @ SY184 ) )
              | ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SY183 @ SY184 ) ) ) )
        | ~ ! [SY185: $i,SY186: $i] :
              ( ~ ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SY185 @ SY186 ) ) )
              | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SY185 ) @ SY186 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[210]) ).

thf(251,plain,
    ! [SV20: $i,SV37: $i] :
      ( ( ~ ( ~ ! [SY253: $i,SY254: $i] :
                  ( ! [SY255: $i] :
                      ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY255 )
                              | ~ ( incident_o @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY254 ) )
                          | ~ ( ( incident_c @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY255 )
                              | ( incident_o @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY254 ) ) )
                      | ~ ( between_c @ SY255 @ SV20 @ SV37 @ SY253 ) )
                  | ( between_o @ SY254 @ SV20 @ SV37 @ SY253 ) )
            | ~ ! [SY256: $i,SY257: $i] :
                  ( ~ ( between_o @ SY257 @ SV20 @ SV37 @ SY256 )
                  | ~ ( ~ ~ ( ~ ! [SY258: $i] :
                                  ( ~ ( incident_c @ SY258 @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) )
                                  | ( incident_o @ SY258 @ SY257 ) )
                            | ~ ! [SY259: $i] :
                                  ( ~ ( incident_o @ SY259 @ SY257 )
                                  | ( incident_c @ SY259 @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) ) ) )
                      | ~ ( between_c @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SY256 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[211]) ).

thf(252,plain,
    ! [SV21: $i] :
      ( ( ~ ! [SY195: $i,SY196: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY195 )
                        | ~ ( incident_c @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY196 ) )
                  | ~ ( ~ ( end_point @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY195 )
                      | ~ ( end_point @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY196 ) ) )
              | ~ ( incident_c @ SV21 @ SY195 )
              | ~ ( incident_c @ SV21 @ SY196 )
              | ( meet @ SV21 @ SY195 @ SY196 ) )
        | ~ ~ ( ~ ! [SY197: $i,SY198: $i] :
                    ( ~ ( meet @ SV21 @ SY197 @ SY198 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY197 )
                              | ~ ( incident_c @ SX3 @ SY198 )
                              | ( end_point @ SX3 @ SY197 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY197 )
                              | ~ ( incident_c @ SX3 @ SY198 )
                              | ( end_point @ SX3 @ SY198 ) ) ) )
              | ~ ~ ( ~ ! [SY201: $i] :
                          ( ! [SY202: $i] :
                              ~ ( meet @ SV21 @ SY201 @ SY202 )
                          | ( incident_c @ SV21 @ SY201 ) )
                    | ~ ! [SY203: $i,SY204: $i] :
                          ( ~ ( meet @ SV21 @ SY203 @ SY204 )
                          | ( incident_c @ SV21 @ SY204 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[212]) ).

thf(253,plain,
    ! [SV22: $i] :
      ( ( ~ ! [SY205: $i,SY206: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                            | ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY205 ) )
                        | ~ ( ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                            | ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY206 ) ) )
                  | ~ ( ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                      | ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY205 )
                      | ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY206 ) ) )
              | ( SV22
                = ( sum @ SY205 @ SY206 ) ) )
        | ~ ! [SY207: $i,SY208: $i] :
              ( ( SV22
               != ( sum @ SY207 @ SY208 ) )
              | ~ ( ~ ! [SY209: $i] :
                        ( ~ ( incident_c @ SY209 @ SV22 )
                        | ( incident_c @ SY209 @ SY207 )
                        | ( incident_c @ SY209 @ SY208 ) )
                  | ~ ~ ( ~ ! [SY210: $i] :
                              ( ~ ( incident_c @ SY210 @ SY207 )
                              | ( incident_c @ SY210 @ SV22 ) )
                        | ~ ! [SY211: $i] :
                              ( ~ ( incident_c @ SY211 @ SY208 )
                              | ( incident_c @ SY211 @ SV22 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[213]) ).

thf(254,plain,
    ! [SV23: $i,SV38: $i] :
      ( ( ~ ( inner_point @ SV38 @ SV23 )
        | ~ ( ( SV23
             != ( sum @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) )
            | ~ ( meet @ SV38 @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[214]) ).

thf(255,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SX0
                           != ( sK14_Q @ SX1 @ SX0 ) ) )
                      | ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ~ ( ordered_by @ SX1 @ ( sK14_Q @ SX1 @ SX0 ) @ SX0 ) )
            | ~ ( incident_o @ SX0 @ SX1 )
            | ( finish_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[215]) ).

thf(256,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( finish_point @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ( SX0 = SX2 )
                      | ~ ( incident_o @ SX2 @ SX1 )
                      | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( finish_point @ SX0 @ SX1 )
                  | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[215]) ).

thf(257,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 )
            | ( inner_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[216]) ).

thf(258,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( inner_point @ SX0 @ SX1 )
                  | ( incident_c @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( inner_point @ SX0 @ SX1 )
                  | ~ ( end_point @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[216]) ).

thf(259,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[217]) ).

thf(260,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[217]) ).

thf(261,plain,
    ! [SV24: $i] :
      ( ( ~ ! [SY213: $i] :
              ( ! [SY214: $i] :
                  ~ ( ordered_by @ SV24 @ SY213 @ SY214 )
              | ( incident_o @ SY213 @ SV24 ) )
        | ~ ! [SY215: $i,SY216: $i] :
              ( ~ ( ordered_by @ SV24 @ SY215 @ SY216 )
              | ( incident_o @ SY216 @ SV24 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[218]) ).

thf(262,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX0 ) )
            | ( part_of @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[219]) ).

thf(263,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( part_of @ SX1 @ SX0 )
            | ! [SX2: $i] :
                ( ~ ( incident_c @ SX2 @ SX1 )
                | ( incident_c @ SX2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[219]) ).

thf(264,plain,
    ! [SV39: $i,SV25: $i] :
      ( ( ! [SY260: $i] :
            ( ( SV25 = SV39 )
            | ~ ( open @ SY260 )
            | ~ ( incident_c @ SV25 @ SY260 )
            | ~ ( incident_c @ SV39 @ SY260 )
            | ~ ( ~ ~ ( ~ ! [SY261: $i] :
                            ( ~ ( incident_c @ SY261 @ SY260 )
                            | ( incident_o @ SY261 @ ( sK9_O @ SY260 @ SV39 @ SV25 ) ) )
                      | ~ ! [SY262: $i] :
                            ( ~ ( incident_o @ SY262 @ ( sK9_O @ SY260 @ SV39 @ SV25 ) )
                            | ( incident_c @ SY262 @ SY260 ) ) )
                | ~ ( ordered_by @ ( sK9_O @ SY260 @ SV39 @ SV25 ) @ SV25 @ SV39 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[220]) ).

thf(265,plain,
    ! [SV1: $i,SV26: $i] :
      ( ( ( ( SV26 = SV1 )
          | ~ ( part_of @ SV26 @ SV1 ) )
        = $true )
      | ( ( open @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[221]) ).

thf(266,plain,
    ! [SV40: $i,SV2: $i,SV27: $i] :
      ( ( ! [SY263: $i] :
            ( ~ ( part_of @ SV27 @ SV2 )
            | ~ ( part_of @ SV40 @ SV2 )
            | ~ ( part_of @ SY263 @ SV2 )
            | ! [SY264: $i] :
                ( ~ ( end_point @ SY264 @ SV27 )
                | ~ ( end_point @ SY264 @ SV40 )
                | ~ ( end_point @ SY264 @ SY263 ) )
            | ( part_of @ SY263 @ SV27 )
            | ( part_of @ SV27 @ SY263 )
            | ( part_of @ SV40 @ SV27 )
            | ( part_of @ SV27 @ SV40 )
            | ( part_of @ SV40 @ SY263 )
            | ( part_of @ SY263 @ SV40 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[222]) ).

thf(267,plain,
    ! [SV41: $i,SV4: $i,SV28: $i] :
      ( ( ! [SY265: $i] :
            ( ~ ( end_point @ SV28 @ SV4 )
            | ~ ( end_point @ SV41 @ SV4 )
            | ~ ( end_point @ SY265 @ SV4 )
            | ( SV41 = SY265 )
            | ( SV28 = SV41 )
            | ( SV28 = SY265 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[223]) ).

thf(268,plain,
    ! [SV42: $i,SV29: $i,SV5: $i] :
      ( ( ~ ( closed @ SV5 )
        | ! [SY266: $i] :
            ~ ( meet @ SY266 @ SV29 @ SV42 )
        | ( SV5
         != ( sum @ SV29 @ SV42 ) )
        | ! [SY267: $i] :
            ( ~ ( end_point @ SY267 @ SV29 )
            | ( meet @ SY267 @ SV29 @ SV42 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[224]) ).

thf(269,plain,
    ! [SV30: $i,SV6: $i] :
      ( ( ( ! [SY229: $i] :
              ~ ( meet @ SY229 @ SV6 @ SV30 ) )
        = $true )
      | ( ( ( sK18_C @ SV30 @ SV6 )
          = ( sum @ SV6 @ SV30 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[225]) ).

thf(270,plain,
    ! [SV8: $i] :
      ( ( ( once @ SV8 )
        = $false )
      | ( ( once @ ( at_the_same_time @ SV8 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[226]) ).

thf(271,plain,
    ! [SV43: $i,SV31: $i,SV10: $i] :
      ( ( ! [SY268: $i,SY269: $i,SY270: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SY269 @ SV10 ) @ ( at @ SY270 @ SV31 ) ) )
            | ~ ( once @ ( at_the_same_time @ ( at @ SY269 @ SV43 ) @ ( at @ SY270 @ SY268 ) ) )
            | ~ ( ordered_by @ ( trajectory_of @ SY269 ) @ SV10 @ SV43 )
            | ~ ( ordered_by @ ( trajectory_of @ SY270 ) @ SY268 @ SV31 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[227]) ).

thf(272,plain,
    ! [SV11: $i] :
      ( ( ( once @ SV11 )
        = $false )
      | ( ( ! [SY152: $i] : ( once @ ( at_the_same_time @ SV11 @ ( at @ SY152 @ ( sK4_P @ SY152 @ SV11 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[228]) ).

thf(273,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
          | ( once @ ( at_the_same_time @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[229]) ).

thf(274,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( once @ ( at_the_same_time @ SX1 @ SX0 ) )
          | ( once @ ( at_the_same_time @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[230]) ).

thf(275,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ~ ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
          | ( SX0
            = ( underlying_curve @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[231]) ).

thf(276,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0
           != ( underlying_curve @ SX1 ) )
          | ~ ( ~ ! [SX2: $i] :
                    ( ~ ( incident_c @ SX2 @ SX0 )
                    | ( incident_o @ SX2 @ SX1 ) )
              | ~ ! [SX2: $i] :
                    ( ~ ( incident_o @ SX2 @ SX1 )
                    | ( incident_c @ SX2 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[232]) ).

thf(277,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ( ( SX0
                         != ( sK15_Q @ SX1 @ SX0 ) ) )
                    | ~ ( incident_o @ ( sK15_Q @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK15_Q @ SX1 @ SX0 ) ) )
          | ~ ( incident_o @ SX0 @ SX1 )
          | ( start_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[233]) ).

thf(278,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( start_point @ SX0 @ SX1 )
                | ! [SX2: $i] :
                    ( ( SX0 = SX2 )
                    | ~ ( incident_o @ SX2 @ SX1 )
                    | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( start_point @ SX0 @ SX1 )
                | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[234]) ).

thf(279,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ SX1 )
                                | ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ SX1 ) )
                          | ~ ( incident_c @ SX0 @ ( sK26_C1 @ SX1 @ SX0 ) ) )
                    | ~ ( incident_c @ SX0 @ ( sK27_SY132 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ ( sK27_SY132 @ SX1 @ SX0 ) )
                    | ~ ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ ( sK26_C1 @ SX1 @ SX0 ) ) ) )
          | ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[235]) ).

thf(280,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( end_point @ SX0 @ SX1 )
                | ! [SX2: $i,SX3: $i] :
                    ( ~ ( part_of @ SX2 @ SX1 )
                    | ~ ( part_of @ SX3 @ SX1 )
                    | ~ ( incident_c @ SX0 @ SX2 )
                    | ~ ( incident_c @ SX0 @ SX3 )
                    | ( part_of @ SX2 @ SX3 )
                    | ( part_of @ SX3 @ SX2 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( end_point @ SX0 @ SX1 )
                | ( incident_c @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[236]) ).

thf(281,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY234: $i,SY235: $i] :
                          ( ~ ( between_o @ SV12 @ SV32 @ SY234 @ SY235 )
                          | ( ordered_by @ SV12 @ SV32 @ SY234 )
                          | ( ordered_by @ SV12 @ SY235 @ SY234 ) )
                    | ~ ! [SY236: $i] :
                          ( ! [SY237: $i] :
                              ~ ( between_o @ SV12 @ SV32 @ SY236 @ SY237 )
                          | ( ordered_by @ SV12 @ SV32 @ SY236 )
                          | ( ordered_by @ SV12 @ SY236 @ SV32 ) ) )
              | ~ ~ ( ~ ! [SY238: $i,SY239: $i] :
                          ( ~ ( between_o @ SV12 @ SV32 @ SY238 @ SY239 )
                          | ( ordered_by @ SV12 @ SY238 @ SY239 )
                          | ( ordered_by @ SV12 @ SY239 @ SY238 ) )
                    | ~ ! [SY240: $i,SY241: $i] :
                          ( ~ ( between_o @ SV12 @ SV32 @ SY240 @ SY241 )
                          | ( ordered_by @ SV12 @ SY240 @ SY241 )
                          | ( ordered_by @ SV12 @ SY240 @ SV32 ) ) ) )
        | ~ ~ ( ~ ! [SY242: $i,SY243: $i] :
                    ( ~ ( ordered_by @ SV12 @ SV32 @ SY242 )
                    | ~ ( ordered_by @ SV12 @ SY242 @ SY243 )
                    | ( between_o @ SV12 @ SV32 @ SY242 @ SY243 ) )
              | ~ ! [SY244: $i,SY245: $i] :
                    ( ~ ( ordered_by @ SV12 @ SY245 @ SY244 )
                    | ~ ( ordered_by @ SV12 @ SY244 @ SV32 )
                    | ( between_o @ SV12 @ SV32 @ SY244 @ SY245 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[237]) ).

thf(282,plain,
    ! [SV33: $i,SV13: $i] :
      ( ( ( ~ ( ~ ( ~ ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
                  | ~ ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) )
              | ~ ( ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
                  | ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) ) ) )
        = $true )
      | ( ( SV13 = SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[238]) ).

thf(283,plain,
    ! [SV14: $i,SV34: $i] :
      ( ( ( ~ ( end_point @ SV34 @ SV14 ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV34
                   != ( sK19_Q @ SV34 @ SV14 ) ) )
              | ~ ( end_point @ ( sK19_Q @ SV34 @ SV14 ) @ SV14 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[239]) ).

thf(284,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( closed @ SX0 )
          | ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[240]) ).

thf(285,plain,
    ( ( ! [SX0: $i] :
          ( ( end_point @ ( sK24_P @ SX0 ) @ SX0 )
          | ( closed @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[241]) ).

thf(286,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) )
          | ( once @ ( at @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[242]) ).

thf(287,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( once @ ( at @ SX0 @ SX1 ) )
          | ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[243]) ).

thf(288,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
                  | ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) )
              | ~ ( ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
                  | ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) ) ) )
        = $true )
      | ( ( SV15 = SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[244]) ).

thf(289,plain,
    ! [SV16: $i] :
      ( ( ~ ! [SY169: $i,SY170: $i] :
              ( ~ ( connect @ SV16 @ SY169 @ SY170 )
              | ( once @ ( at_the_same_time @ ( at @ SV16 @ SY170 ) @ ( at @ SY169 @ SY170 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[245]) ).

thf(290,plain,
    ! [SV16: $i] :
      ( ( ~ ! [SY171: $i,SY172: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at @ SV16 @ SY172 ) @ ( at @ SY171 @ SY172 ) ) )
              | ( connect @ SV16 @ SY171 @ SY172 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[245]) ).

thf(291,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 )
          | ( open @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[246]) ).

thf(292,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( open @ SX0 )
          | ( end_point @ ( sK23_P @ SX0 ) @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[247]) ).

thf(293,plain,
    ! [SV17: $i,SV36: $i] :
      ( ( ~ ! [SY246: $i,SY247: $i] :
              ( ( SV36 = SY247 )
              | ! [SY248: $i] :
                  ( ~ ( end_point @ SV36 @ SY248 )
                  | ~ ( part_of @ SY248 @ SV17 )
                  | ~ ( end_point @ SY247 @ SY248 )
                  | ~ ( inner_point @ SY246 @ SY248 ) )
              | ( between_c @ SV17 @ SV36 @ SY246 @ SY247 ) )
        | ~ ~ ( ~ ! [SY249: $i,SY250: $i] :
                    ( ~ ( between_c @ SV17 @ SV36 @ SY249 @ SY250 )
                    | ( SV36 != SY250 ) )
              | ~ ! [SY251: $i,SY252: $i] :
                    ( ~ ( between_c @ SV17 @ SV36 @ SY251 @ SY252 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) )
                                    | ~ ( part_of @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) @ SV17 ) )
                              | ~ ( end_point @ SY252 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) )
                        | ~ ( inner_point @ SY251 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[248]) ).

thf(294,plain,
    ! [SV18: $i] :
      ( ( ~ ~ ( ~ ! [SY181: $i] :
                    ( ~ ( incident_c @ SY181 @ ( sK13_C @ SV18 ) )
                    | ( incident_o @ SY181 @ SV18 ) )
              | ~ ! [SY182: $i] :
                    ( ~ ( incident_o @ SY182 @ SV18 )
                    | ( incident_c @ SY182 @ ( sK13_C @ SV18 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[249]) ).

thf(295,plain,
    ! [SV18: $i] :
      ( ( ~ ( open @ ( sK13_C @ SV18 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[249]) ).

thf(296,plain,
    ! [SV19: $i] :
      ( ( ~ ! [SY183: $i,SY184: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SY183 ) @ SY184 ) )
              | ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SY183 @ SY184 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[250]) ).

thf(297,plain,
    ! [SV19: $i] :
      ( ( ~ ! [SY185: $i,SY186: $i] :
              ( ~ ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SY185 @ SY186 ) ) )
              | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SY185 ) @ SY186 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[250]) ).

thf(298,plain,
    ! [SV20: $i,SV37: $i] :
      ( ( ~ ! [SY253: $i,SY254: $i] :
              ( ! [SY255: $i] :
                  ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY255 )
                          | ~ ( incident_o @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY254 ) )
                      | ~ ( ( incident_c @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY255 )
                          | ( incident_o @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY254 ) ) )
                  | ~ ( between_c @ SY255 @ SV20 @ SV37 @ SY253 ) )
              | ( between_o @ SY254 @ SV20 @ SV37 @ SY253 ) )
        | ~ ! [SY256: $i,SY257: $i] :
              ( ~ ( between_o @ SY257 @ SV20 @ SV37 @ SY256 )
              | ~ ( ~ ~ ( ~ ! [SY258: $i] :
                              ( ~ ( incident_c @ SY258 @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) )
                              | ( incident_o @ SY258 @ SY257 ) )
                        | ~ ! [SY259: $i] :
                              ( ~ ( incident_o @ SY259 @ SY257 )
                              | ( incident_c @ SY259 @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) ) ) )
                  | ~ ( between_c @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SY256 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(299,plain,
    ! [SV21: $i] :
      ( ( ~ ! [SY195: $i,SY196: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY195 )
                        | ~ ( incident_c @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY196 ) )
                  | ~ ( ~ ( end_point @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY195 )
                      | ~ ( end_point @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY196 ) ) )
              | ~ ( incident_c @ SV21 @ SY195 )
              | ~ ( incident_c @ SV21 @ SY196 )
              | ( meet @ SV21 @ SY195 @ SY196 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[252]) ).

thf(300,plain,
    ! [SV21: $i] :
      ( ( ~ ~ ( ~ ! [SY197: $i,SY198: $i] :
                    ( ~ ( meet @ SV21 @ SY197 @ SY198 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY197 )
                              | ~ ( incident_c @ SX3 @ SY198 )
                              | ( end_point @ SX3 @ SY197 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY197 )
                              | ~ ( incident_c @ SX3 @ SY198 )
                              | ( end_point @ SX3 @ SY198 ) ) ) )
              | ~ ~ ( ~ ! [SY201: $i] :
                          ( ! [SY202: $i] :
                              ~ ( meet @ SV21 @ SY201 @ SY202 )
                          | ( incident_c @ SV21 @ SY201 ) )
                    | ~ ! [SY203: $i,SY204: $i] :
                          ( ~ ( meet @ SV21 @ SY203 @ SY204 )
                          | ( incident_c @ SV21 @ SY204 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[252]) ).

thf(301,plain,
    ! [SV22: $i] :
      ( ( ~ ! [SY205: $i,SY206: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                            | ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY205 ) )
                        | ~ ( ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                            | ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY206 ) ) )
                  | ~ ( ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                      | ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY205 )
                      | ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY206 ) ) )
              | ( SV22
                = ( sum @ SY205 @ SY206 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[253]) ).

thf(302,plain,
    ! [SV22: $i] :
      ( ( ~ ! [SY207: $i,SY208: $i] :
              ( ( SV22
               != ( sum @ SY207 @ SY208 ) )
              | ~ ( ~ ! [SY209: $i] :
                        ( ~ ( incident_c @ SY209 @ SV22 )
                        | ( incident_c @ SY209 @ SY207 )
                        | ( incident_c @ SY209 @ SY208 ) )
                  | ~ ~ ( ~ ! [SY210: $i] :
                              ( ~ ( incident_c @ SY210 @ SY207 )
                              | ( incident_c @ SY210 @ SV22 ) )
                        | ~ ! [SY211: $i] :
                              ( ~ ( incident_c @ SY211 @ SY208 )
                              | ( incident_c @ SY211 @ SV22 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[253]) ).

thf(303,plain,
    ! [SV23: $i,SV38: $i] :
      ( ( ( ~ ( inner_point @ SV38 @ SV23 ) )
        = $true )
      | ( ( ~ ( ( SV23
               != ( sum @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) )
              | ~ ( meet @ SV38 @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[254]) ).

thf(304,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ( ( SX0
                         != ( sK14_Q @ SX1 @ SX0 ) ) )
                    | ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ~ ( ordered_by @ SX1 @ ( sK14_Q @ SX1 @ SX0 ) @ SX0 ) )
          | ~ ( incident_o @ SX0 @ SX1 )
          | ( finish_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[255]) ).

thf(305,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( finish_point @ SX0 @ SX1 )
                | ! [SX2: $i] :
                    ( ( SX0 = SX2 )
                    | ~ ( incident_o @ SX2 @ SX1 )
                    | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( finish_point @ SX0 @ SX1 )
                | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[256]) ).

thf(306,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 )
          | ( inner_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[257]) ).

thf(307,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( inner_point @ SX0 @ SX1 )
                | ( incident_c @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( inner_point @ SX0 @ SX1 )
                | ~ ( end_point @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[258]) ).

thf(308,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
          | ( once @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[259]) ).

thf(309,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
          | ( once @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[260]) ).

thf(310,plain,
    ! [SV24: $i] :
      ( ( ~ ! [SY213: $i] :
              ( ! [SY214: $i] :
                  ~ ( ordered_by @ SV24 @ SY213 @ SY214 )
              | ( incident_o @ SY213 @ SV24 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[261]) ).

thf(311,plain,
    ! [SV24: $i] :
      ( ( ~ ! [SY215: $i,SY216: $i] :
              ( ~ ( ordered_by @ SV24 @ SY215 @ SY216 )
              | ( incident_o @ SY216 @ SV24 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[261]) ).

thf(312,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX1 )
              | ~ ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX0 ) )
          | ( part_of @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[262]) ).

thf(313,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( part_of @ SX1 @ SX0 )
          | ! [SX2: $i] :
              ( ~ ( incident_c @ SX2 @ SX1 )
              | ( incident_c @ SX2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[263]) ).

thf(314,plain,
    ! [SV44: $i,SV39: $i,SV25: $i] :
      ( ( ( SV25 = SV39 )
        | ~ ( open @ SV44 )
        | ~ ( incident_c @ SV25 @ SV44 )
        | ~ ( incident_c @ SV39 @ SV44 )
        | ~ ( ~ ~ ( ~ ! [SY271: $i] :
                        ( ~ ( incident_c @ SY271 @ SV44 )
                        | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
                  | ~ ! [SY272: $i] :
                        ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                        | ( incident_c @ SY272 @ SV44 ) ) )
            | ~ ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(315,plain,
    ! [SV1: $i,SV26: $i] :
      ( ( ( SV26 = SV1 )
        = $true )
      | ( ( ~ ( part_of @ SV26 @ SV1 ) )
        = $true )
      | ( ( open @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[265]) ).

thf(316,plain,
    ! [SV45: $i,SV40: $i,SV2: $i,SV27: $i] :
      ( ( ~ ( part_of @ SV27 @ SV2 )
        | ~ ( part_of @ SV40 @ SV2 )
        | ~ ( part_of @ SV45 @ SV2 )
        | ! [SY273: $i] :
            ( ~ ( end_point @ SY273 @ SV27 )
            | ~ ( end_point @ SY273 @ SV40 )
            | ~ ( end_point @ SY273 @ SV45 ) )
        | ( part_of @ SV45 @ SV27 )
        | ( part_of @ SV27 @ SV45 )
        | ( part_of @ SV40 @ SV27 )
        | ( part_of @ SV27 @ SV40 )
        | ( part_of @ SV40 @ SV45 )
        | ( part_of @ SV45 @ SV40 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(317,plain,
    ! [SV46: $i,SV41: $i,SV4: $i,SV28: $i] :
      ( ( ~ ( end_point @ SV28 @ SV4 )
        | ~ ( end_point @ SV41 @ SV4 )
        | ~ ( end_point @ SV46 @ SV4 )
        | ( SV41 = SV46 )
        | ( SV28 = SV41 )
        | ( SV28 = SV46 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(318,plain,
    ! [SV42: $i,SV29: $i,SV5: $i] :
      ( ( ( ~ ( closed @ SV5 )
          | ! [SY266: $i] :
              ~ ( meet @ SY266 @ SV29 @ SV42 )
          | ( SV5
           != ( sum @ SV29 @ SV42 ) ) )
        = $true )
      | ( ( ! [SY267: $i] :
              ( ~ ( end_point @ SY267 @ SV29 )
              | ( meet @ SY267 @ SV29 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[268]) ).

thf(319,plain,
    ! [SV30: $i,SV6: $i,SV47: $i] :
      ( ( ( ~ ( meet @ SV47 @ SV6 @ SV30 ) )
        = $true )
      | ( ( ( sK18_C @ SV30 @ SV6 )
          = ( sum @ SV6 @ SV30 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(320,plain,
    ! [SV48: $i,SV43: $i,SV31: $i,SV10: $i] :
      ( ( ! [SY274: $i,SY275: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SY274 @ SV10 ) @ ( at @ SY275 @ SV31 ) ) )
            | ~ ( once @ ( at_the_same_time @ ( at @ SY274 @ SV43 ) @ ( at @ SY275 @ SV48 ) ) )
            | ~ ( ordered_by @ ( trajectory_of @ SY274 ) @ SV10 @ SV43 )
            | ~ ( ordered_by @ ( trajectory_of @ SY275 ) @ SV48 @ SV31 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(321,plain,
    ! [SV49: $i,SV11: $i] :
      ( ( ( once @ ( at_the_same_time @ SV11 @ ( at @ SV49 @ ( sK4_P @ SV49 @ SV11 ) ) ) )
        = $true )
      | ( ( once @ SV11 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(322,plain,
    ! [SV50: $i] :
      ( ( ! [SY276: $i] :
            ( ~ ( once @ ( at_the_same_time @ SV50 @ SY276 ) )
            | ( once @ ( at_the_same_time @ SY276 @ SV50 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(323,plain,
    ! [SV51: $i] :
      ( ( ! [SY277: $i] :
            ( ~ ( once @ ( at_the_same_time @ SY277 @ SV51 ) )
            | ( once @ ( at_the_same_time @ SV51 @ SY277 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(324,plain,
    ! [SV52: $i] :
      ( ( ! [SY278: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SY278 @ SV52 ) @ SV52 )
                    | ~ ( incident_o @ ( sK6_P @ SY278 @ SV52 ) @ SY278 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SY278 @ SV52 ) @ SV52 )
                    | ( incident_o @ ( sK6_P @ SY278 @ SV52 ) @ SY278 ) ) )
            | ( SV52
              = ( underlying_curve @ SY278 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[275]) ).

thf(325,plain,
    ! [SV53: $i] :
      ( ( ! [SY279: $i] :
            ( ( SV53
             != ( underlying_curve @ SY279 ) )
            | ~ ( ~ ! [SY280: $i] :
                      ( ~ ( incident_c @ SY280 @ SV53 )
                      | ( incident_o @ SY280 @ SY279 ) )
                | ~ ! [SY281: $i] :
                      ( ~ ( incident_o @ SY281 @ SY279 )
                      | ( incident_c @ SY281 @ SV53 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(326,plain,
    ! [SV54: $i] :
      ( ( ! [SY282: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SV54
                           != ( sK15_Q @ SY282 @ SV54 ) ) )
                      | ~ ( incident_o @ ( sK15_Q @ SY282 @ SV54 ) @ SY282 ) )
                | ~ ~ ( ordered_by @ SY282 @ SV54 @ ( sK15_Q @ SY282 @ SV54 ) ) )
            | ~ ( incident_o @ SV54 @ SY282 )
            | ( start_point @ SV54 @ SY282 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(327,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( start_point @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ( SX0 = SX2 )
                | ~ ( incident_o @ SX2 @ SX1 )
                | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( start_point @ SX0 @ SX1 )
            | ( incident_o @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[278]) ).

thf(328,plain,
    ! [SV55: $i] :
      ( ( ! [SY283: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SY283 @ SV55 ) @ SY283 )
                                  | ~ ( part_of @ ( sK27_SY132 @ SY283 @ SV55 ) @ SY283 ) )
                            | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SY283 @ SV55 ) ) )
                      | ~ ( incident_c @ SV55 @ ( sK27_SY132 @ SY283 @ SV55 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SY283 @ SV55 ) @ ( sK27_SY132 @ SY283 @ SV55 ) )
                      | ~ ~ ( part_of @ ( sK27_SY132 @ SY283 @ SV55 ) @ ( sK26_C1 @ SY283 @ SV55 ) ) ) )
            | ~ ( incident_c @ SV55 @ SY283 )
            | ( end_point @ SV55 @ SY283 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(329,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ! [SX2: $i,SX3: $i] :
                ( ~ ( part_of @ SX2 @ SX1 )
                | ~ ( part_of @ SX3 @ SX1 )
                | ~ ( incident_c @ SX0 @ SX2 )
                | ~ ( incident_c @ SX0 @ SX3 )
                | ( part_of @ SX2 @ SX3 )
                | ( part_of @ SX3 @ SX2 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[280]) ).

thf(330,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY234: $i,SY235: $i] :
                          ( ~ ( between_o @ SV12 @ SV32 @ SY234 @ SY235 )
                          | ( ordered_by @ SV12 @ SV32 @ SY234 )
                          | ( ordered_by @ SV12 @ SY235 @ SY234 ) )
                    | ~ ! [SY236: $i] :
                          ( ! [SY237: $i] :
                              ~ ( between_o @ SV12 @ SV32 @ SY236 @ SY237 )
                          | ( ordered_by @ SV12 @ SV32 @ SY236 )
                          | ( ordered_by @ SV12 @ SY236 @ SV32 ) ) )
              | ~ ~ ( ~ ! [SY238: $i,SY239: $i] :
                          ( ~ ( between_o @ SV12 @ SV32 @ SY238 @ SY239 )
                          | ( ordered_by @ SV12 @ SY238 @ SY239 )
                          | ( ordered_by @ SV12 @ SY239 @ SY238 ) )
                    | ~ ! [SY240: $i,SY241: $i] :
                          ( ~ ( between_o @ SV12 @ SV32 @ SY240 @ SY241 )
                          | ( ordered_by @ SV12 @ SY240 @ SY241 )
                          | ( ordered_by @ SV12 @ SY240 @ SV32 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(331,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ~ ( ~ ! [SY242: $i,SY243: $i] :
                    ( ~ ( ordered_by @ SV12 @ SV32 @ SY242 )
                    | ~ ( ordered_by @ SV12 @ SY242 @ SY243 )
                    | ( between_o @ SV12 @ SV32 @ SY242 @ SY243 ) )
              | ~ ! [SY244: $i,SY245: $i] :
                    ( ~ ( ordered_by @ SV12 @ SY245 @ SY244 )
                    | ~ ( ordered_by @ SV12 @ SY244 @ SV32 )
                    | ( between_o @ SV12 @ SV32 @ SY244 @ SY245 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(332,plain,
    ! [SV33: $i,SV13: $i] :
      ( ( ( ~ ( ~ ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
              | ~ ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) )
          | ~ ( ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
              | ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) ) )
        = $false )
      | ( ( SV13 = SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[282]) ).

thf(333,plain,
    ! [SV14: $i,SV34: $i] :
      ( ( ( end_point @ SV34 @ SV14 )
        = $false )
      | ( ( ~ ( ~ ( ( SV34
                   != ( sK19_Q @ SV34 @ SV14 ) ) )
              | ~ ( end_point @ ( sK19_Q @ SV34 @ SV14 ) @ SV14 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[283]) ).

thf(334,plain,
    ! [SV56: $i] :
      ( ( ~ ( closed @ SV56 )
        | ! [SY284: $i] :
            ~ ( end_point @ SY284 @ SV56 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(335,plain,
    ! [SV57: $i] :
      ( ( ( end_point @ ( sK24_P @ SV57 ) @ SV57 )
        | ( closed @ SV57 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(336,plain,
    ! [SV58: $i] :
      ( ( ! [SY285: $i] :
            ( ~ ( incident_o @ SY285 @ ( trajectory_of @ SV58 ) )
            | ( once @ ( at @ SV58 @ SY285 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(337,plain,
    ! [SV59: $i] :
      ( ( ! [SY286: $i] :
            ( ~ ( once @ ( at @ SV59 @ SY286 ) )
            | ( incident_o @ SY286 @ ( trajectory_of @ SV59 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(338,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
              | ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) )
          | ~ ( ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
              | ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) ) )
        = $false )
      | ( ( SV15 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[288]) ).

thf(339,plain,
    ! [SV16: $i] :
      ( ( ! [SY169: $i,SY170: $i] :
            ( ~ ( connect @ SV16 @ SY169 @ SY170 )
            | ( once @ ( at_the_same_time @ ( at @ SV16 @ SY170 ) @ ( at @ SY169 @ SY170 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[289]) ).

thf(340,plain,
    ! [SV16: $i] :
      ( ( ! [SY171: $i,SY172: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SV16 @ SY172 ) @ ( at @ SY171 @ SY172 ) ) )
            | ( connect @ SV16 @ SY171 @ SY172 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[290]) ).

thf(341,plain,
    ! [SV60: $i] :
      ( ( ! [SY287: $i] :
            ~ ( end_point @ SY287 @ SV60 )
        | ( open @ SV60 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[291]) ).

thf(342,plain,
    ! [SV61: $i] :
      ( ( ~ ( open @ SV61 )
        | ( end_point @ ( sK23_P @ SV61 ) @ SV61 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(343,plain,
    ! [SV17: $i,SV36: $i] :
      ( ( ~ ! [SY246: $i,SY247: $i] :
              ( ( SV36 = SY247 )
              | ! [SY248: $i] :
                  ( ~ ( end_point @ SV36 @ SY248 )
                  | ~ ( part_of @ SY248 @ SV17 )
                  | ~ ( end_point @ SY247 @ SY248 )
                  | ~ ( inner_point @ SY246 @ SY248 ) )
              | ( between_c @ SV17 @ SV36 @ SY246 @ SY247 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[293]) ).

thf(344,plain,
    ! [SV36: $i,SV17: $i] :
      ( ( ~ ~ ( ~ ! [SY249: $i,SY250: $i] :
                    ( ~ ( between_c @ SV17 @ SV36 @ SY249 @ SY250 )
                    | ( SV36 != SY250 ) )
              | ~ ! [SY251: $i,SY252: $i] :
                    ( ~ ( between_c @ SV17 @ SV36 @ SY251 @ SY252 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) )
                                    | ~ ( part_of @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) @ SV17 ) )
                              | ~ ( end_point @ SY252 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) )
                        | ~ ( inner_point @ SY251 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[293]) ).

thf(345,plain,
    ! [SV18: $i] :
      ( ( ~ ( ~ ! [SY181: $i] :
                  ( ~ ( incident_c @ SY181 @ ( sK13_C @ SV18 ) )
                  | ( incident_o @ SY181 @ SV18 ) )
            | ~ ! [SY182: $i] :
                  ( ~ ( incident_o @ SY182 @ SV18 )
                  | ( incident_c @ SY182 @ ( sK13_C @ SV18 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[294]) ).

thf(346,plain,
    ! [SV18: $i] :
      ( ( open @ ( sK13_C @ SV18 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[295]) ).

thf(347,plain,
    ! [SV19: $i] :
      ( ( ! [SY183: $i,SY184: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SY183 ) @ SY184 ) )
            | ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SY183 @ SY184 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[296]) ).

thf(348,plain,
    ! [SV19: $i] :
      ( ( ! [SY185: $i,SY186: $i] :
            ( ~ ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SY185 @ SY186 ) ) )
            | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SY185 ) @ SY186 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[297]) ).

thf(349,plain,
    ! [SV20: $i,SV37: $i] :
      ( ( ~ ! [SY253: $i,SY254: $i] :
              ( ! [SY255: $i] :
                  ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY255 )
                          | ~ ( incident_o @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY254 ) )
                      | ~ ( ( incident_c @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY255 )
                          | ( incident_o @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY254 ) ) )
                  | ~ ( between_c @ SY255 @ SV20 @ SV37 @ SY253 ) )
              | ( between_o @ SY254 @ SV20 @ SV37 @ SY253 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[298]) ).

thf(350,plain,
    ! [SV37: $i,SV20: $i] :
      ( ( ~ ! [SY256: $i,SY257: $i] :
              ( ~ ( between_o @ SY257 @ SV20 @ SV37 @ SY256 )
              | ~ ( ~ ~ ( ~ ! [SY258: $i] :
                              ( ~ ( incident_c @ SY258 @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) )
                              | ( incident_o @ SY258 @ SY257 ) )
                        | ~ ! [SY259: $i] :
                              ( ~ ( incident_o @ SY259 @ SY257 )
                              | ( incident_c @ SY259 @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) ) ) )
                  | ~ ( between_c @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SY256 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[298]) ).

thf(351,plain,
    ! [SV21: $i] :
      ( ( ! [SY195: $i,SY196: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY195 )
                      | ~ ( incident_c @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY196 ) )
                | ~ ( ~ ( end_point @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY195 )
                    | ~ ( end_point @ ( sK25_Q @ SY196 @ SY195 @ SV21 ) @ SY196 ) ) )
            | ~ ( incident_c @ SV21 @ SY195 )
            | ~ ( incident_c @ SV21 @ SY196 )
            | ( meet @ SV21 @ SY195 @ SY196 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[299]) ).

thf(352,plain,
    ! [SV21: $i] :
      ( ( ~ ( ~ ! [SY197: $i,SY198: $i] :
                  ( ~ ( meet @ SV21 @ SY197 @ SY198 )
                  | ~ ( ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY197 )
                            | ~ ( incident_c @ SX3 @ SY198 )
                            | ( end_point @ SX3 @ SY197 ) )
                      | ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY197 )
                            | ~ ( incident_c @ SX3 @ SY198 )
                            | ( end_point @ SX3 @ SY198 ) ) ) )
            | ~ ~ ( ~ ! [SY201: $i] :
                        ( ! [SY202: $i] :
                            ~ ( meet @ SV21 @ SY201 @ SY202 )
                        | ( incident_c @ SV21 @ SY201 ) )
                  | ~ ! [SY203: $i,SY204: $i] :
                        ( ~ ( meet @ SV21 @ SY203 @ SY204 )
                        | ( incident_c @ SV21 @ SY204 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[300]) ).

thf(353,plain,
    ! [SV22: $i] :
      ( ( ! [SY205: $i,SY206: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                          | ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY205 ) )
                      | ~ ( ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                          | ~ ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY206 ) ) )
                | ~ ( ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SV22 )
                    | ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY205 )
                    | ( incident_c @ ( sK28_Q @ SY206 @ SY205 @ SV22 ) @ SY206 ) ) )
            | ( SV22
              = ( sum @ SY205 @ SY206 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[301]) ).

thf(354,plain,
    ! [SV22: $i] :
      ( ( ! [SY207: $i,SY208: $i] :
            ( ( SV22
             != ( sum @ SY207 @ SY208 ) )
            | ~ ( ~ ! [SY209: $i] :
                      ( ~ ( incident_c @ SY209 @ SV22 )
                      | ( incident_c @ SY209 @ SY207 )
                      | ( incident_c @ SY209 @ SY208 ) )
                | ~ ~ ( ~ ! [SY210: $i] :
                            ( ~ ( incident_c @ SY210 @ SY207 )
                            | ( incident_c @ SY210 @ SV22 ) )
                      | ~ ! [SY211: $i] :
                            ( ~ ( incident_c @ SY211 @ SY208 )
                            | ( incident_c @ SY211 @ SV22 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[302]) ).

thf(355,plain,
    ! [SV23: $i,SV38: $i] :
      ( ( ( inner_point @ SV38 @ SV23 )
        = $false )
      | ( ( ~ ( ( SV23
               != ( sum @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) )
              | ~ ( meet @ SV38 @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[303]) ).

thf(356,plain,
    ! [SV62: $i] :
      ( ( ! [SY288: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SV62
                           != ( sK14_Q @ SY288 @ SV62 ) ) )
                      | ~ ( incident_o @ ( sK14_Q @ SY288 @ SV62 ) @ SY288 ) )
                | ~ ~ ( ordered_by @ SY288 @ ( sK14_Q @ SY288 @ SV62 ) @ SV62 ) )
            | ~ ( incident_o @ SV62 @ SY288 )
            | ( finish_point @ SV62 @ SY288 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(357,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( finish_point @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ( SX0 = SX2 )
                | ~ ( incident_o @ SX2 @ SX1 )
                | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( finish_point @ SX0 @ SX1 )
            | ( incident_o @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[305]) ).

thf(358,plain,
    ! [SV63: $i] :
      ( ( ! [SY289: $i] :
            ( ~ ( incident_c @ SV63 @ SY289 )
            | ( end_point @ SV63 @ SY289 )
            | ( inner_point @ SV63 @ SY289 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(359,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[307]) ).

thf(360,plain,
    ! [SV64: $i] :
      ( ( ! [SY290: $i] :
            ~ ( once @ ( at_the_same_time @ SV64 @ SY290 ) )
        | ( once @ SV64 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(361,plain,
    ! [SV65: $i] :
      ( ( ! [SY291: $i] :
            ( ~ ( once @ ( at_the_same_time @ SV65 @ SY291 ) )
            | ( once @ SY291 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(362,plain,
    ! [SV24: $i] :
      ( ( ! [SY213: $i] :
            ( ! [SY214: $i] :
                ~ ( ordered_by @ SV24 @ SY213 @ SY214 )
            | ( incident_o @ SY213 @ SV24 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[310]) ).

thf(363,plain,
    ! [SV24: $i] :
      ( ( ! [SY215: $i,SY216: $i] :
            ( ~ ( ordered_by @ SV24 @ SY215 @ SY216 )
            | ( incident_o @ SY216 @ SV24 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[311]) ).

thf(364,plain,
    ! [SV66: $i] :
      ( ( ! [SY292: $i] :
            ( ~ ( ~ ( incident_c @ ( sK29_P @ SY292 @ SV66 ) @ SY292 )
                | ~ ~ ( incident_c @ ( sK29_P @ SY292 @ SV66 ) @ SV66 ) )
            | ( part_of @ SY292 @ SV66 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(365,plain,
    ! [SV67: $i] :
      ( ( ! [SY293: $i] :
            ( ~ ( part_of @ SY293 @ SV67 )
            | ! [SY294: $i] :
                ( ~ ( incident_c @ SY294 @ SY293 )
                | ( incident_c @ SY294 @ SV67 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(366,plain,
    ! [SV44: $i,SV39: $i,SV25: $i] :
      ( ( ( ( SV25 = SV39 )
          | ~ ( open @ SV44 )
          | ~ ( incident_c @ SV25 @ SV44 )
          | ~ ( incident_c @ SV39 @ SV44 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY271: $i] :
                          ( ~ ( incident_c @ SY271 @ SV44 )
                          | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
                    | ~ ! [SY272: $i] :
                          ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                          | ( incident_c @ SY272 @ SV44 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[314]) ).

thf(367,plain,
    ! [SV1: $i,SV26: $i] :
      ( ( ( part_of @ SV26 @ SV1 )
        = $false )
      | ( ( SV26 = SV1 )
        = $true )
      | ( ( open @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[315]) ).

thf(368,plain,
    ! [SV45: $i,SV40: $i,SV2: $i,SV27: $i] :
      ( ( ( ~ ( part_of @ SV27 @ SV2 )
          | ~ ( part_of @ SV40 @ SV2 )
          | ~ ( part_of @ SV45 @ SV2 )
          | ! [SY273: $i] :
              ( ~ ( end_point @ SY273 @ SV27 )
              | ~ ( end_point @ SY273 @ SV40 )
              | ~ ( end_point @ SY273 @ SV45 ) ) )
        = $true )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[316]) ).

thf(369,plain,
    ! [SV46: $i,SV41: $i,SV4: $i,SV28: $i] :
      ( ( ( ~ ( end_point @ SV28 @ SV4 )
          | ~ ( end_point @ SV41 @ SV4 )
          | ~ ( end_point @ SV46 @ SV4 ) )
        = $true )
      | ( ( ( SV41 = SV46 )
          | ( SV28 = SV41 )
          | ( SV28 = SV46 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[317]) ).

thf(370,plain,
    ! [SV42: $i,SV29: $i,SV5: $i] :
      ( ( ( ~ ( closed @ SV5 )
          | ! [SY266: $i] :
              ~ ( meet @ SY266 @ SV29 @ SV42 ) )
        = $true )
      | ( ( ( SV5
           != ( sum @ SV29 @ SV42 ) ) )
        = $true )
      | ( ( ! [SY267: $i] :
              ( ~ ( end_point @ SY267 @ SV29 )
              | ( meet @ SY267 @ SV29 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[318]) ).

thf(371,plain,
    ! [SV30: $i,SV6: $i,SV47: $i] :
      ( ( ( meet @ SV47 @ SV6 @ SV30 )
        = $false )
      | ( ( ( sK18_C @ SV30 @ SV6 )
          = ( sum @ SV6 @ SV30 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[319]) ).

thf(372,plain,
    ! [SV48: $i,SV43: $i,SV31: $i,SV10: $i,SV68: $i] :
      ( ( ! [SY295: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SV68 @ SV10 ) @ ( at @ SY295 @ SV31 ) ) )
            | ~ ( once @ ( at_the_same_time @ ( at @ SV68 @ SV43 ) @ ( at @ SY295 @ SV48 ) ) )
            | ~ ( ordered_by @ ( trajectory_of @ SV68 ) @ SV10 @ SV43 )
            | ~ ( ordered_by @ ( trajectory_of @ SY295 ) @ SV48 @ SV31 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(373,plain,
    ! [SV69: $i,SV50: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ SV50 @ SV69 ) )
        | ( once @ ( at_the_same_time @ SV69 @ SV50 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(374,plain,
    ! [SV51: $i,SV70: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ SV70 @ SV51 ) )
        | ( once @ ( at_the_same_time @ SV51 @ SV70 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(375,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
                | ~ ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) )
            | ~ ( ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
                | ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) ) )
        | ( SV52
          = ( underlying_curve @ SV71 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(376,plain,
    ! [SV72: $i,SV53: $i] :
      ( ( ( SV53
         != ( underlying_curve @ SV72 ) )
        | ~ ( ~ ! [SY296: $i] :
                  ( ~ ( incident_c @ SY296 @ SV53 )
                  | ( incident_o @ SY296 @ SV72 ) )
            | ~ ! [SY297: $i] :
                  ( ~ ( incident_o @ SY297 @ SV72 )
                  | ( incident_c @ SY297 @ SV53 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[325]) ).

thf(377,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ( SV54
                       != ( sK15_Q @ SV73 @ SV54 ) ) )
                  | ~ ( incident_o @ ( sK15_Q @ SV73 @ SV54 ) @ SV73 ) )
            | ~ ~ ( ordered_by @ SV73 @ SV54 @ ( sK15_Q @ SV73 @ SV54 ) ) )
        | ~ ( incident_o @ SV54 @ SV73 )
        | ( start_point @ SV54 @ SV73 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(378,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( start_point @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ( SX0 = SX2 )
                | ~ ( incident_o @ SX2 @ SX1 )
                | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[327]) ).

thf(379,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( start_point @ SX0 @ SX1 )
            | ( incident_o @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[327]) ).

thf(380,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                              | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
                        | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) )
                  | ~ ( incident_c @ SV55 @ ( sK27_SY132 @ SV74 @ SV55 ) ) )
            | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) )
                  | ~ ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) ) ) )
        | ~ ( incident_c @ SV55 @ SV74 )
        | ( end_point @ SV55 @ SV74 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(381,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ! [SX2: $i,SX3: $i] :
                ( ~ ( part_of @ SX2 @ SX1 )
                | ~ ( part_of @ SX3 @ SX1 )
                | ~ ( incident_c @ SX0 @ SX2 )
                | ~ ( incident_c @ SX0 @ SX3 )
                | ( part_of @ SX2 @ SX3 )
                | ( part_of @ SX3 @ SX2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[329]) ).

thf(382,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[329]) ).

thf(383,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY234: $i,SY235: $i] :
                        ( ~ ( between_o @ SV12 @ SV32 @ SY234 @ SY235 )
                        | ( ordered_by @ SV12 @ SV32 @ SY234 )
                        | ( ordered_by @ SV12 @ SY235 @ SY234 ) )
                  | ~ ! [SY236: $i] :
                        ( ! [SY237: $i] :
                            ~ ( between_o @ SV12 @ SV32 @ SY236 @ SY237 )
                        | ( ordered_by @ SV12 @ SV32 @ SY236 )
                        | ( ordered_by @ SV12 @ SY236 @ SV32 ) ) )
            | ~ ~ ( ~ ! [SY238: $i,SY239: $i] :
                        ( ~ ( between_o @ SV12 @ SV32 @ SY238 @ SY239 )
                        | ( ordered_by @ SV12 @ SY238 @ SY239 )
                        | ( ordered_by @ SV12 @ SY239 @ SY238 ) )
                  | ~ ! [SY240: $i,SY241: $i] :
                        ( ~ ( between_o @ SV12 @ SV32 @ SY240 @ SY241 )
                        | ( ordered_by @ SV12 @ SY240 @ SY241 )
                        | ( ordered_by @ SV12 @ SY240 @ SV32 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[330]) ).

thf(384,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ( ~ ! [SY242: $i,SY243: $i] :
                  ( ~ ( ordered_by @ SV12 @ SV32 @ SY242 )
                  | ~ ( ordered_by @ SV12 @ SY242 @ SY243 )
                  | ( between_o @ SV12 @ SV32 @ SY242 @ SY243 ) )
            | ~ ! [SY244: $i,SY245: $i] :
                  ( ~ ( ordered_by @ SV12 @ SY245 @ SY244 )
                  | ~ ( ordered_by @ SV12 @ SY244 @ SV32 )
                  | ( between_o @ SV12 @ SV32 @ SY244 @ SY245 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[331]) ).

thf(385,plain,
    ! [SV33: $i,SV13: $i] :
      ( ( ( ~ ( ~ ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
              | ~ ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) ) )
        = $false )
      | ( ( SV13 = SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[332]) ).

thf(386,plain,
    ! [SV33: $i,SV13: $i] :
      ( ( ( ~ ( ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
              | ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) ) )
        = $false )
      | ( ( SV13 = SV33 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[332]) ).

thf(387,plain,
    ! [SV14: $i,SV34: $i] :
      ( ( ( ~ ( ( SV34
               != ( sK19_Q @ SV34 @ SV14 ) ) )
          | ~ ( end_point @ ( sK19_Q @ SV34 @ SV14 ) @ SV14 ) )
        = $false )
      | ( ( end_point @ SV34 @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[333]) ).

thf(388,plain,
    ! [SV56: $i] :
      ( ( ( ~ ( closed @ SV56 ) )
        = $true )
      | ( ( ! [SY284: $i] :
              ~ ( end_point @ SY284 @ SV56 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[334]) ).

thf(389,plain,
    ! [SV57: $i] :
      ( ( ( end_point @ ( sK24_P @ SV57 ) @ SV57 )
        = $true )
      | ( ( closed @ SV57 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[335]) ).

thf(390,plain,
    ! [SV58: $i,SV75: $i] :
      ( ( ~ ( incident_o @ SV75 @ ( trajectory_of @ SV58 ) )
        | ( once @ ( at @ SV58 @ SV75 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[336]) ).

thf(391,plain,
    ! [SV76: $i,SV59: $i] :
      ( ( ~ ( once @ ( at @ SV59 @ SV76 ) )
        | ( incident_o @ SV76 @ ( trajectory_of @ SV59 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(392,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
              | ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) ) )
        = $false )
      | ( ( SV15 = SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[338]) ).

thf(393,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
              | ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) ) )
        = $false )
      | ( ( SV15 = SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[338]) ).

thf(394,plain,
    ! [SV77: $i,SV16: $i] :
      ( ( ! [SY298: $i] :
            ( ~ ( connect @ SV16 @ SV77 @ SY298 )
            | ( once @ ( at_the_same_time @ ( at @ SV16 @ SY298 ) @ ( at @ SV77 @ SY298 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(395,plain,
    ! [SV78: $i,SV16: $i] :
      ( ( ! [SY299: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SV16 @ SY299 ) @ ( at @ SV78 @ SY299 ) ) )
            | ( connect @ SV16 @ SV78 @ SY299 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(396,plain,
    ! [SV60: $i] :
      ( ( ( ! [SY287: $i] :
              ~ ( end_point @ SY287 @ SV60 ) )
        = $true )
      | ( ( open @ SV60 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[341]) ).

thf(397,plain,
    ! [SV61: $i] :
      ( ( ( ~ ( open @ SV61 ) )
        = $true )
      | ( ( end_point @ ( sK23_P @ SV61 ) @ SV61 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[342]) ).

thf(398,plain,
    ! [SV17: $i,SV36: $i] :
      ( ( ! [SY246: $i,SY247: $i] :
            ( ( SV36 = SY247 )
            | ! [SY248: $i] :
                ( ~ ( end_point @ SV36 @ SY248 )
                | ~ ( part_of @ SY248 @ SV17 )
                | ~ ( end_point @ SY247 @ SY248 )
                | ~ ( inner_point @ SY246 @ SY248 ) )
            | ( between_c @ SV17 @ SV36 @ SY246 @ SY247 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[343]) ).

thf(399,plain,
    ! [SV36: $i,SV17: $i] :
      ( ( ~ ( ~ ! [SY249: $i,SY250: $i] :
                  ( ~ ( between_c @ SV17 @ SV36 @ SY249 @ SY250 )
                  | ( SV36 != SY250 ) )
            | ~ ! [SY251: $i,SY252: $i] :
                  ( ~ ( between_c @ SV17 @ SV36 @ SY251 @ SY252 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) )
                                  | ~ ( part_of @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) @ SV17 ) )
                            | ~ ( end_point @ SY252 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) )
                      | ~ ( inner_point @ SY251 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[344]) ).

thf(400,plain,
    ! [SV18: $i] :
      ( ( ~ ! [SY181: $i] :
              ( ~ ( incident_c @ SY181 @ ( sK13_C @ SV18 ) )
              | ( incident_o @ SY181 @ SV18 ) )
        | ~ ! [SY182: $i] :
              ( ~ ( incident_o @ SY182 @ SV18 )
              | ( incident_c @ SY182 @ ( sK13_C @ SV18 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[345]) ).

thf(401,plain,
    ! [SV79: $i,SV19: $i] :
      ( ( ! [SY300: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SV79 ) @ SY300 ) )
            | ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SV79 @ SY300 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[347]) ).

thf(402,plain,
    ! [SV80: $i,SV19: $i] :
      ( ( ! [SY301: $i] :
            ( ~ ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SV80 @ SY301 ) ) )
            | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SV80 ) @ SY301 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(403,plain,
    ! [SV20: $i,SV37: $i] :
      ( ( ! [SY253: $i,SY254: $i] :
            ( ! [SY255: $i] :
                ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY255 )
                        | ~ ( incident_o @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY254 ) )
                    | ~ ( ( incident_c @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY255 )
                        | ( incident_o @ ( sK12_P @ SY255 @ SY254 @ SY253 @ SV37 @ SV20 ) @ SY254 ) ) )
                | ~ ( between_c @ SY255 @ SV20 @ SV37 @ SY253 ) )
            | ( between_o @ SY254 @ SV20 @ SV37 @ SY253 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[349]) ).

thf(404,plain,
    ! [SV37: $i,SV20: $i] :
      ( ( ! [SY256: $i,SY257: $i] :
            ( ~ ( between_o @ SY257 @ SV20 @ SV37 @ SY256 )
            | ~ ( ~ ~ ( ~ ! [SY258: $i] :
                            ( ~ ( incident_c @ SY258 @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) )
                            | ( incident_o @ SY258 @ SY257 ) )
                      | ~ ! [SY259: $i] :
                            ( ~ ( incident_o @ SY259 @ SY257 )
                            | ( incident_c @ SY259 @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) ) ) )
                | ~ ( between_c @ ( sK11_C @ SY257 @ SY256 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SY256 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[350]) ).

thf(405,plain,
    ! [SV21: $i,SV81: $i] :
      ( ( ! [SY302: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SY302 @ SV81 @ SV21 ) @ SV81 )
                      | ~ ( incident_c @ ( sK25_Q @ SY302 @ SV81 @ SV21 ) @ SY302 ) )
                | ~ ( ~ ( end_point @ ( sK25_Q @ SY302 @ SV81 @ SV21 ) @ SV81 )
                    | ~ ( end_point @ ( sK25_Q @ SY302 @ SV81 @ SV21 ) @ SY302 ) ) )
            | ~ ( incident_c @ SV21 @ SV81 )
            | ~ ( incident_c @ SV21 @ SY302 )
            | ( meet @ SV21 @ SV81 @ SY302 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(406,plain,
    ! [SV21: $i] :
      ( ( ~ ! [SY197: $i,SY198: $i] :
              ( ~ ( meet @ SV21 @ SY197 @ SY198 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY197 )
                        | ~ ( incident_c @ SX3 @ SY198 )
                        | ( end_point @ SX3 @ SY197 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY197 )
                        | ~ ( incident_c @ SX3 @ SY198 )
                        | ( end_point @ SX3 @ SY198 ) ) ) )
        | ~ ~ ( ~ ! [SY201: $i] :
                    ( ! [SY202: $i] :
                        ~ ( meet @ SV21 @ SY201 @ SY202 )
                    | ( incident_c @ SV21 @ SY201 ) )
              | ~ ! [SY203: $i,SY204: $i] :
                    ( ~ ( meet @ SV21 @ SY203 @ SY204 )
                    | ( incident_c @ SV21 @ SY204 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[352]) ).

thf(407,plain,
    ! [SV22: $i,SV82: $i] :
      ( ( ! [SY303: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SY303 @ SV82 @ SV22 ) @ SV22 )
                          | ~ ( incident_c @ ( sK28_Q @ SY303 @ SV82 @ SV22 ) @ SV82 ) )
                      | ~ ( ~ ( incident_c @ ( sK28_Q @ SY303 @ SV82 @ SV22 ) @ SV22 )
                          | ~ ( incident_c @ ( sK28_Q @ SY303 @ SV82 @ SV22 ) @ SY303 ) ) )
                | ~ ( ( incident_c @ ( sK28_Q @ SY303 @ SV82 @ SV22 ) @ SV22 )
                    | ( incident_c @ ( sK28_Q @ SY303 @ SV82 @ SV22 ) @ SV82 )
                    | ( incident_c @ ( sK28_Q @ SY303 @ SV82 @ SV22 ) @ SY303 ) ) )
            | ( SV22
              = ( sum @ SV82 @ SY303 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(408,plain,
    ! [SV83: $i,SV22: $i] :
      ( ( ! [SY304: $i] :
            ( ( SV22
             != ( sum @ SV83 @ SY304 ) )
            | ~ ( ~ ! [SY305: $i] :
                      ( ~ ( incident_c @ SY305 @ SV22 )
                      | ( incident_c @ SY305 @ SV83 )
                      | ( incident_c @ SY305 @ SY304 ) )
                | ~ ~ ( ~ ! [SY306: $i] :
                            ( ~ ( incident_c @ SY306 @ SV83 )
                            | ( incident_c @ SY306 @ SV22 ) )
                      | ~ ! [SY211: $i] :
                            ( ~ ( incident_c @ SY211 @ SY304 )
                            | ( incident_c @ SY211 @ SV22 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(409,plain,
    ! [SV38: $i,SV23: $i] :
      ( ( ( ( SV23
           != ( sum @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) )
          | ~ ( meet @ SV38 @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) )
        = $false )
      | ( ( inner_point @ SV38 @ SV23 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[355]) ).

thf(410,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ( SV62
                       != ( sK14_Q @ SV84 @ SV62 ) ) )
                  | ~ ( incident_o @ ( sK14_Q @ SV84 @ SV62 ) @ SV84 ) )
            | ~ ~ ( ordered_by @ SV84 @ ( sK14_Q @ SV84 @ SV62 ) @ SV62 ) )
        | ~ ( incident_o @ SV62 @ SV84 )
        | ( finish_point @ SV62 @ SV84 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[356]) ).

thf(411,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( finish_point @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ( SX0 = SX2 )
                | ~ ( incident_o @ SX2 @ SX1 )
                | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[357]) ).

thf(412,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( finish_point @ SX0 @ SX1 )
            | ( incident_o @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[357]) ).

thf(413,plain,
    ! [SV85: $i,SV63: $i] :
      ( ( ~ ( incident_c @ SV63 @ SV85 )
        | ( end_point @ SV63 @ SV85 )
        | ( inner_point @ SV63 @ SV85 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[358]) ).

thf(414,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[359]) ).

thf(415,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[359]) ).

thf(416,plain,
    ! [SV64: $i] :
      ( ( ( ! [SY290: $i] :
              ~ ( once @ ( at_the_same_time @ SV64 @ SY290 ) ) )
        = $true )
      | ( ( once @ SV64 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[360]) ).

thf(417,plain,
    ! [SV86: $i,SV65: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ SV65 @ SV86 ) )
        | ( once @ SV86 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(418,plain,
    ! [SV87: $i,SV24: $i] :
      ( ( ! [SY308: $i] :
            ~ ( ordered_by @ SV24 @ SV87 @ SY308 )
        | ( incident_o @ SV87 @ SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(419,plain,
    ! [SV88: $i,SV24: $i] :
      ( ( ! [SY309: $i] :
            ( ~ ( ordered_by @ SV24 @ SV88 @ SY309 )
            | ( incident_o @ SY309 @ SV24 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(420,plain,
    ! [SV66: $i,SV89: $i] :
      ( ( ~ ( ~ ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV89 )
            | ~ ~ ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV66 ) )
        | ( part_of @ SV89 @ SV66 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(421,plain,
    ! [SV67: $i,SV90: $i] :
      ( ( ~ ( part_of @ SV90 @ SV67 )
        | ! [SY310: $i] :
            ( ~ ( incident_c @ SY310 @ SV90 )
            | ( incident_c @ SY310 @ SV67 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(422,plain,
    ! [SV44: $i,SV39: $i,SV25: $i] :
      ( ( ( ( SV25 = SV39 )
          | ~ ( open @ SV44 )
          | ~ ( incident_c @ SV25 @ SV44 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV39 @ SV44 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY271: $i] :
                          ( ~ ( incident_c @ SY271 @ SV44 )
                          | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
                    | ~ ! [SY272: $i] :
                          ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                          | ( incident_c @ SY272 @ SV44 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[366]) ).

thf(423,plain,
    ! [SV45: $i,SV40: $i,SV2: $i,SV27: $i] :
      ( ( ( ~ ( part_of @ SV27 @ SV2 )
          | ~ ( part_of @ SV40 @ SV2 )
          | ~ ( part_of @ SV45 @ SV2 ) )
        = $true )
      | ( ( ! [SY273: $i] :
              ( ~ ( end_point @ SY273 @ SV27 )
              | ~ ( end_point @ SY273 @ SV40 )
              | ~ ( end_point @ SY273 @ SV45 ) ) )
        = $true )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[368]) ).

thf(424,plain,
    ! [SV46: $i,SV41: $i,SV4: $i,SV28: $i] :
      ( ( ( ~ ( end_point @ SV28 @ SV4 )
          | ~ ( end_point @ SV41 @ SV4 ) )
        = $true )
      | ( ( ~ ( end_point @ SV46 @ SV4 ) )
        = $true )
      | ( ( ( SV41 = SV46 )
          | ( SV28 = SV41 )
          | ( SV28 = SV46 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[369]) ).

thf(425,plain,
    ! [SV42: $i,SV29: $i,SV5: $i] :
      ( ( ( ~ ( closed @ SV5 ) )
        = $true )
      | ( ( ! [SY266: $i] :
              ~ ( meet @ SY266 @ SV29 @ SV42 ) )
        = $true )
      | ( ( ( SV5
           != ( sum @ SV29 @ SV42 ) ) )
        = $true )
      | ( ( ! [SY267: $i] :
              ( ~ ( end_point @ SY267 @ SV29 )
              | ( meet @ SY267 @ SV29 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[370]) ).

thf(426,plain,
    ! [SV48: $i,SV43: $i,SV31: $i,SV91: $i,SV10: $i,SV68: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV68 @ SV10 ) @ ( at @ SV91 @ SV31 ) ) )
        | ~ ( once @ ( at_the_same_time @ ( at @ SV68 @ SV43 ) @ ( at @ SV91 @ SV48 ) ) )
        | ~ ( ordered_by @ ( trajectory_of @ SV68 ) @ SV10 @ SV43 )
        | ~ ( ordered_by @ ( trajectory_of @ SV91 ) @ SV48 @ SV31 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(427,plain,
    ! [SV69: $i,SV50: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ SV50 @ SV69 ) ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ SV69 @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[373]) ).

thf(428,plain,
    ! [SV51: $i,SV70: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ SV70 @ SV51 ) ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ SV51 @ SV70 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[374]) ).

thf(429,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
                  | ~ ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
                  | ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) ) ) )
        = $true )
      | ( ( SV52
          = ( underlying_curve @ SV71 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[375]) ).

thf(430,plain,
    ! [SV72: $i,SV53: $i] :
      ( ( ( ( SV53
           != ( underlying_curve @ SV72 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY296: $i] :
                    ( ~ ( incident_c @ SY296 @ SV53 )
                    | ( incident_o @ SY296 @ SV72 ) )
              | ~ ! [SY297: $i] :
                    ( ~ ( incident_o @ SY297 @ SV72 )
                    | ( incident_c @ SY297 @ SV53 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[376]) ).

thf(431,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV54
                         != ( sK15_Q @ SV73 @ SV54 ) ) )
                    | ~ ( incident_o @ ( sK15_Q @ SV73 @ SV54 ) @ SV73 ) )
              | ~ ~ ( ordered_by @ SV73 @ SV54 @ ( sK15_Q @ SV73 @ SV54 ) ) )
          | ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[377]) ).

thf(432,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( start_point @ SX0 @ SX1 )
          | ! [SX2: $i] :
              ( ( SX0 = SX2 )
              | ~ ( incident_o @ SX2 @ SX1 )
              | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[378]) ).

thf(433,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( start_point @ SX0 @ SX1 )
          | ( incident_o @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[379]) ).

thf(434,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                                | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
                          | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) )
                    | ~ ( incident_c @ SV55 @ ( sK27_SY132 @ SV74 @ SV55 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) )
                    | ~ ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) ) ) )
          | ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[380]) ).

thf(435,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX0 @ SX1 )
          | ! [SX2: $i,SX3: $i] :
              ( ~ ( part_of @ SX2 @ SX1 )
              | ~ ( part_of @ SX3 @ SX1 )
              | ~ ( incident_c @ SX0 @ SX2 )
              | ~ ( incident_c @ SX0 @ SX3 )
              | ( part_of @ SX2 @ SX3 )
              | ( part_of @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[381]) ).

thf(436,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[382]) ).

thf(437,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ~ ( ~ ! [SY234: $i,SY235: $i] :
                    ( ~ ( between_o @ SV12 @ SV32 @ SY234 @ SY235 )
                    | ( ordered_by @ SV12 @ SV32 @ SY234 )
                    | ( ordered_by @ SV12 @ SY235 @ SY234 ) )
              | ~ ! [SY236: $i] :
                    ( ! [SY237: $i] :
                        ~ ( between_o @ SV12 @ SV32 @ SY236 @ SY237 )
                    | ( ordered_by @ SV12 @ SV32 @ SY236 )
                    | ( ordered_by @ SV12 @ SY236 @ SV32 ) ) )
        | ~ ~ ( ~ ! [SY238: $i,SY239: $i] :
                    ( ~ ( between_o @ SV12 @ SV32 @ SY238 @ SY239 )
                    | ( ordered_by @ SV12 @ SY238 @ SY239 )
                    | ( ordered_by @ SV12 @ SY239 @ SY238 ) )
              | ~ ! [SY240: $i,SY241: $i] :
                    ( ~ ( between_o @ SV12 @ SV32 @ SY240 @ SY241 )
                    | ( ordered_by @ SV12 @ SY240 @ SY241 )
                    | ( ordered_by @ SV12 @ SY240 @ SV32 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(438,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ! [SY242: $i,SY243: $i] :
              ( ~ ( ordered_by @ SV12 @ SV32 @ SY242 )
              | ~ ( ordered_by @ SV12 @ SY242 @ SY243 )
              | ( between_o @ SV12 @ SV32 @ SY242 @ SY243 ) )
        | ~ ! [SY244: $i,SY245: $i] :
              ( ~ ( ordered_by @ SV12 @ SY245 @ SY244 )
              | ~ ( ordered_by @ SV12 @ SY244 @ SV32 )
              | ( between_o @ SV12 @ SV32 @ SY244 @ SY245 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[384]) ).

thf(439,plain,
    ! [SV33: $i,SV13: $i] :
      ( ( ( ~ ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
          | ~ ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) )
        = $true )
      | ( ( SV13 = SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[385]) ).

thf(440,plain,
    ! [SV33: $i,SV13: $i] :
      ( ( ( ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
          | ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) )
        = $true )
      | ( ( SV13 = SV33 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[386]) ).

thf(441,plain,
    ! [SV14: $i,SV34: $i] :
      ( ( ( ~ ( ( SV34
               != ( sK19_Q @ SV34 @ SV14 ) ) ) )
        = $false )
      | ( ( end_point @ SV34 @ SV14 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[387]) ).

thf(442,plain,
    ! [SV14: $i,SV34: $i] :
      ( ( ( ~ ( end_point @ ( sK19_Q @ SV34 @ SV14 ) @ SV14 ) )
        = $false )
      | ( ( end_point @ SV34 @ SV14 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[387]) ).

thf(443,plain,
    ! [SV56: $i] :
      ( ( ( closed @ SV56 )
        = $false )
      | ( ( ! [SY284: $i] :
              ~ ( end_point @ SY284 @ SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[388]) ).

thf(444,plain,
    ! [SV58: $i,SV75: $i] :
      ( ( ( ~ ( incident_o @ SV75 @ ( trajectory_of @ SV58 ) ) )
        = $true )
      | ( ( once @ ( at @ SV58 @ SV75 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[390]) ).

thf(445,plain,
    ! [SV76: $i,SV59: $i] :
      ( ( ( ~ ( once @ ( at @ SV59 @ SV76 ) ) )
        = $true )
      | ( ( incident_o @ SV76 @ ( trajectory_of @ SV59 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[391]) ).

thf(446,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
          | ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) )
        = $true )
      | ( ( SV15 = SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[392]) ).

thf(447,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ( ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
          | ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) )
        = $true )
      | ( ( SV15 = SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[393]) ).

thf(448,plain,
    ! [SV92: $i,SV77: $i,SV16: $i] :
      ( ( ~ ( connect @ SV16 @ SV77 @ SV92 )
        | ( once @ ( at_the_same_time @ ( at @ SV16 @ SV92 ) @ ( at @ SV77 @ SV92 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[394]) ).

thf(449,plain,
    ! [SV78: $i,SV93: $i,SV16: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV16 @ SV93 ) @ ( at @ SV78 @ SV93 ) ) )
        | ( connect @ SV16 @ SV78 @ SV93 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[395]) ).

thf(450,plain,
    ! [SV60: $i,SV94: $i] :
      ( ( ( ~ ( end_point @ SV94 @ SV60 ) )
        = $true )
      | ( ( open @ SV60 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[396]) ).

thf(451,plain,
    ! [SV61: $i] :
      ( ( ( open @ SV61 )
        = $false )
      | ( ( end_point @ ( sK23_P @ SV61 ) @ SV61 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[397]) ).

thf(452,plain,
    ! [SV95: $i,SV17: $i,SV36: $i] :
      ( ( ! [SY311: $i] :
            ( ( SV36 = SY311 )
            | ! [SY312: $i] :
                ( ~ ( end_point @ SV36 @ SY312 )
                | ~ ( part_of @ SY312 @ SV17 )
                | ~ ( end_point @ SY311 @ SY312 )
                | ~ ( inner_point @ SV95 @ SY312 ) )
            | ( between_c @ SV17 @ SV36 @ SV95 @ SY311 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[398]) ).

thf(453,plain,
    ! [SV36: $i,SV17: $i] :
      ( ( ~ ! [SY249: $i,SY250: $i] :
              ( ~ ( between_c @ SV17 @ SV36 @ SY249 @ SY250 )
              | ( SV36 != SY250 ) )
        | ~ ! [SY251: $i,SY252: $i] :
              ( ~ ( between_c @ SV17 @ SV36 @ SY251 @ SY252 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) )
                              | ~ ( part_of @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) @ SV17 ) )
                        | ~ ( end_point @ SY252 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) )
                  | ~ ( inner_point @ SY251 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[399]) ).

thf(454,plain,
    ! [SV18: $i] :
      ( ( ~ ! [SY181: $i] :
              ( ~ ( incident_c @ SY181 @ ( sK13_C @ SV18 ) )
              | ( incident_o @ SY181 @ SV18 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[400]) ).

thf(455,plain,
    ! [SV18: $i] :
      ( ( ~ ! [SY182: $i] :
              ( ~ ( incident_o @ SY182 @ SV18 )
              | ( incident_c @ SY182 @ ( sK13_C @ SV18 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[400]) ).

thf(456,plain,
    ! [SV96: $i,SV79: $i,SV19: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SV79 ) @ SV96 ) )
        | ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SV79 @ SV96 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[401]) ).

thf(457,plain,
    ! [SV97: $i,SV80: $i,SV19: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SV80 @ SV97 ) ) )
        | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SV80 ) @ SV97 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(458,plain,
    ! [SV20: $i,SV37: $i,SV98: $i] :
      ( ( ! [SY313: $i] :
            ( ! [SY314: $i] :
                ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY314 @ SY313 @ SV98 @ SV37 @ SV20 ) @ SY314 )
                        | ~ ( incident_o @ ( sK12_P @ SY314 @ SY313 @ SV98 @ SV37 @ SV20 ) @ SY313 ) )
                    | ~ ( ( incident_c @ ( sK12_P @ SY314 @ SY313 @ SV98 @ SV37 @ SV20 ) @ SY314 )
                        | ( incident_o @ ( sK12_P @ SY314 @ SY313 @ SV98 @ SV37 @ SV20 ) @ SY313 ) ) )
                | ~ ( between_c @ SY314 @ SV20 @ SV37 @ SV98 ) )
            | ( between_o @ SY313 @ SV20 @ SV37 @ SV98 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[403]) ).

thf(459,plain,
    ! [SV99: $i,SV37: $i,SV20: $i] :
      ( ( ! [SY315: $i] :
            ( ~ ( between_o @ SY315 @ SV20 @ SV37 @ SV99 )
            | ~ ( ~ ~ ( ~ ! [SY316: $i] :
                            ( ~ ( incident_c @ SY316 @ ( sK11_C @ SY315 @ SV99 @ SV37 @ SV20 ) )
                            | ( incident_o @ SY316 @ SY315 ) )
                      | ~ ! [SY317: $i] :
                            ( ~ ( incident_o @ SY317 @ SY315 )
                            | ( incident_c @ SY317 @ ( sK11_C @ SY315 @ SV99 @ SV37 @ SV20 ) ) ) )
                | ~ ( between_c @ ( sK11_C @ SY315 @ SV99 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SV99 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(460,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
                  | ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) )
            | ~ ( ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
                | ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) ) )
        | ~ ( incident_c @ SV21 @ SV81 )
        | ~ ( incident_c @ SV21 @ SV100 )
        | ( meet @ SV21 @ SV81 @ SV100 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[405]) ).

thf(461,plain,
    ! [SV21: $i] :
      ( ( ~ ! [SY197: $i,SY198: $i] :
              ( ~ ( meet @ SV21 @ SY197 @ SY198 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY197 )
                        | ~ ( incident_c @ SX3 @ SY198 )
                        | ( end_point @ SX3 @ SY197 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY197 )
                        | ~ ( incident_c @ SX3 @ SY198 )
                        | ( end_point @ SX3 @ SY198 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[406]) ).

thf(462,plain,
    ! [SV21: $i] :
      ( ( ~ ~ ( ~ ! [SY201: $i] :
                    ( ! [SY202: $i] :
                        ~ ( meet @ SV21 @ SY201 @ SY202 )
                    | ( incident_c @ SV21 @ SY201 ) )
              | ~ ! [SY203: $i,SY204: $i] :
                    ( ~ ( meet @ SV21 @ SY203 @ SY204 )
                    | ( incident_c @ SV21 @ SY204 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[406]) ).

thf(463,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                      | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 ) )
                  | ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                      | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) )
            | ~ ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 )
                | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) )
        | ( SV22
          = ( sum @ SV82 @ SV101 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[407]) ).

thf(464,plain,
    ! [SV102: $i,SV83: $i,SV22: $i] :
      ( ( ( SV22
         != ( sum @ SV83 @ SV102 ) )
        | ~ ( ~ ! [SY318: $i] :
                  ( ~ ( incident_c @ SY318 @ SV22 )
                  | ( incident_c @ SY318 @ SV83 )
                  | ( incident_c @ SY318 @ SV102 ) )
            | ~ ~ ( ~ ! [SY306: $i] :
                        ( ~ ( incident_c @ SY306 @ SV83 )
                        | ( incident_c @ SY306 @ SV22 ) )
                  | ~ ! [SY320: $i] :
                        ( ~ ( incident_c @ SY320 @ SV102 )
                        | ( incident_c @ SY320 @ SV22 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[408]) ).

thf(465,plain,
    ! [SV38: $i,SV23: $i] :
      ( ( ( ( SV23
           != ( sum @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) ) )
        = $false )
      | ( ( inner_point @ SV38 @ SV23 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[409]) ).

thf(466,plain,
    ! [SV23: $i,SV38: $i] :
      ( ( ( ~ ( meet @ SV38 @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) )
        = $false )
      | ( ( inner_point @ SV38 @ SV23 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[409]) ).

thf(467,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV62
                         != ( sK14_Q @ SV84 @ SV62 ) ) )
                    | ~ ( incident_o @ ( sK14_Q @ SV84 @ SV62 ) @ SV84 ) )
              | ~ ~ ( ordered_by @ SV84 @ ( sK14_Q @ SV84 @ SV62 ) @ SV62 ) )
          | ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[410]) ).

thf(468,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( finish_point @ SX0 @ SX1 )
          | ! [SX2: $i] :
              ( ( SX0 = SX2 )
              | ~ ( incident_o @ SX2 @ SX1 )
              | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[411]) ).

thf(469,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( finish_point @ SX0 @ SX1 )
          | ( incident_o @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[412]) ).

thf(470,plain,
    ! [SV85: $i,SV63: $i] :
      ( ( ( ~ ( incident_c @ SV63 @ SV85 )
          | ( end_point @ SV63 @ SV85 ) )
        = $true )
      | ( ( inner_point @ SV63 @ SV85 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[413]) ).

thf(471,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[414]) ).

thf(472,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[415]) ).

thf(473,plain,
    ! [SV103: $i,SV64: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ SV64 @ SV103 ) ) )
        = $true )
      | ( ( once @ SV64 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[416]) ).

thf(474,plain,
    ! [SV86: $i,SV65: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ SV65 @ SV86 ) ) )
        = $true )
      | ( ( once @ SV86 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(475,plain,
    ! [SV87: $i,SV24: $i] :
      ( ( ( ! [SY308: $i] :
              ~ ( ordered_by @ SV24 @ SV87 @ SY308 ) )
        = $true )
      | ( ( incident_o @ SV87 @ SV24 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[418]) ).

thf(476,plain,
    ! [SV104: $i,SV88: $i,SV24: $i] :
      ( ( ~ ( ordered_by @ SV24 @ SV88 @ SV104 )
        | ( incident_o @ SV104 @ SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[419]) ).

thf(477,plain,
    ! [SV66: $i,SV89: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV89 )
              | ~ ~ ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV66 ) ) )
        = $true )
      | ( ( part_of @ SV89 @ SV66 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[420]) ).

thf(478,plain,
    ! [SV67: $i,SV90: $i] :
      ( ( ( ~ ( part_of @ SV90 @ SV67 ) )
        = $true )
      | ( ( ! [SY310: $i] :
              ( ~ ( incident_c @ SY310 @ SV90 )
              | ( incident_c @ SY310 @ SV67 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[421]) ).

thf(479,plain,
    ! [SV44: $i,SV39: $i,SV25: $i] :
      ( ( ( ( SV25 = SV39 )
          | ~ ( open @ SV44 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV25 @ SV44 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV39 @ SV44 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY271: $i] :
                          ( ~ ( incident_c @ SY271 @ SV44 )
                          | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
                    | ~ ! [SY272: $i] :
                          ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                          | ( incident_c @ SY272 @ SV44 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[422]) ).

thf(480,plain,
    ! [SV45: $i,SV40: $i,SV2: $i,SV27: $i] :
      ( ( ( ~ ( part_of @ SV27 @ SV2 )
          | ~ ( part_of @ SV40 @ SV2 ) )
        = $true )
      | ( ( ~ ( part_of @ SV45 @ SV2 ) )
        = $true )
      | ( ( ! [SY273: $i] :
              ( ~ ( end_point @ SY273 @ SV27 )
              | ~ ( end_point @ SY273 @ SV40 )
              | ~ ( end_point @ SY273 @ SV45 ) ) )
        = $true )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[423]) ).

thf(481,plain,
    ! [SV46: $i,SV41: $i,SV4: $i,SV28: $i] :
      ( ( ( ~ ( end_point @ SV28 @ SV4 ) )
        = $true )
      | ( ( ~ ( end_point @ SV41 @ SV4 ) )
        = $true )
      | ( ( ~ ( end_point @ SV46 @ SV4 ) )
        = $true )
      | ( ( ( SV41 = SV46 )
          | ( SV28 = SV41 )
          | ( SV28 = SV46 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[424]) ).

thf(482,plain,
    ! [SV42: $i,SV29: $i,SV5: $i] :
      ( ( ( closed @ SV5 )
        = $false )
      | ( ( ! [SY266: $i] :
              ~ ( meet @ SY266 @ SV29 @ SV42 ) )
        = $true )
      | ( ( ( SV5
           != ( sum @ SV29 @ SV42 ) ) )
        = $true )
      | ( ( ! [SY267: $i] :
              ( ~ ( end_point @ SY267 @ SV29 )
              | ( meet @ SY267 @ SV29 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(483,plain,
    ! [SV48: $i,SV43: $i,SV31: $i,SV91: $i,SV10: $i,SV68: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV68 @ SV10 ) @ ( at @ SV91 @ SV31 ) ) )
          | ~ ( once @ ( at_the_same_time @ ( at @ SV68 @ SV43 ) @ ( at @ SV91 @ SV48 ) ) ) )
        = $true )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV68 ) @ SV10 @ SV43 )
          | ~ ( ordered_by @ ( trajectory_of @ SV91 ) @ SV48 @ SV31 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[426]) ).

thf(484,plain,
    ! [SV69: $i,SV50: $i] :
      ( ( ( once @ ( at_the_same_time @ SV50 @ SV69 ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ SV69 @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(485,plain,
    ! [SV51: $i,SV70: $i] :
      ( ( ( once @ ( at_the_same_time @ SV70 @ SV51 ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ SV51 @ SV70 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[428]) ).

thf(486,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
              | ~ ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) )
          | ~ ( ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
              | ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) ) )
        = $false )
      | ( ( SV52
          = ( underlying_curve @ SV71 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[429]) ).

thf(487,plain,
    ! [SV72: $i,SV53: $i] :
      ( ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY296: $i] :
                    ( ~ ( incident_c @ SY296 @ SV53 )
                    | ( incident_o @ SY296 @ SV72 ) )
              | ~ ! [SY297: $i] :
                    ( ~ ( incident_o @ SY297 @ SV72 )
                    | ( incident_c @ SY297 @ SV53 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[430]) ).

thf(488,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV54
                         != ( sK15_Q @ SV73 @ SV54 ) ) )
                    | ~ ( incident_o @ ( sK15_Q @ SV73 @ SV54 ) @ SV73 ) )
              | ~ ~ ( ordered_by @ SV73 @ SV54 @ ( sK15_Q @ SV73 @ SV54 ) ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[431]) ).

thf(489,plain,
    ! [SV105: $i] :
      ( ( ! [SY321: $i] :
            ( ~ ( start_point @ SV105 @ SY321 )
            | ! [SY322: $i] :
                ( ( SV105 = SY322 )
                | ~ ( incident_o @ SY322 @ SY321 )
                | ( ordered_by @ SY321 @ SV105 @ SY322 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(490,plain,
    ! [SV106: $i] :
      ( ( ! [SY323: $i] :
            ( ~ ( start_point @ SV106 @ SY323 )
            | ( incident_o @ SV106 @ SY323 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[433]) ).

thf(491,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                                | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
                          | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) )
                    | ~ ( incident_c @ SV55 @ ( sK27_SY132 @ SV74 @ SV55 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) )
                    | ~ ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[434]) ).

thf(492,plain,
    ! [SV107: $i] :
      ( ( ! [SY324: $i] :
            ( ~ ( end_point @ SV107 @ SY324 )
            | ! [SY325: $i,SY326: $i] :
                ( ~ ( part_of @ SY325 @ SY324 )
                | ~ ( part_of @ SY326 @ SY324 )
                | ~ ( incident_c @ SV107 @ SY325 )
                | ~ ( incident_c @ SV107 @ SY326 )
                | ( part_of @ SY325 @ SY326 )
                | ( part_of @ SY326 @ SY325 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[435]) ).

thf(493,plain,
    ! [SV108: $i] :
      ( ( ! [SY327: $i] :
            ( ~ ( end_point @ SV108 @ SY327 )
            | ( incident_c @ SV108 @ SY327 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[436]) ).

thf(494,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ~ ( ~ ! [SY234: $i,SY235: $i] :
                    ( ~ ( between_o @ SV12 @ SV32 @ SY234 @ SY235 )
                    | ( ordered_by @ SV12 @ SV32 @ SY234 )
                    | ( ordered_by @ SV12 @ SY235 @ SY234 ) )
              | ~ ! [SY236: $i] :
                    ( ! [SY237: $i] :
                        ~ ( between_o @ SV12 @ SV32 @ SY236 @ SY237 )
                    | ( ordered_by @ SV12 @ SV32 @ SY236 )
                    | ( ordered_by @ SV12 @ SY236 @ SV32 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[437]) ).

thf(495,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ~ ( ~ ! [SY238: $i,SY239: $i] :
                    ( ~ ( between_o @ SV12 @ SV32 @ SY238 @ SY239 )
                    | ( ordered_by @ SV12 @ SY238 @ SY239 )
                    | ( ordered_by @ SV12 @ SY239 @ SY238 ) )
              | ~ ! [SY240: $i,SY241: $i] :
                    ( ~ ( between_o @ SV12 @ SV32 @ SY240 @ SY241 )
                    | ( ordered_by @ SV12 @ SY240 @ SY241 )
                    | ( ordered_by @ SV12 @ SY240 @ SV32 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[437]) ).

thf(496,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ! [SY242: $i,SY243: $i] :
              ( ~ ( ordered_by @ SV12 @ SV32 @ SY242 )
              | ~ ( ordered_by @ SV12 @ SY242 @ SY243 )
              | ( between_o @ SV12 @ SV32 @ SY242 @ SY243 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[438]) ).

thf(497,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ! [SY244: $i,SY245: $i] :
              ( ~ ( ordered_by @ SV12 @ SY245 @ SY244 )
              | ~ ( ordered_by @ SV12 @ SY244 @ SV32 )
              | ( between_o @ SV12 @ SV32 @ SY244 @ SY245 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[438]) ).

thf(498,plain,
    ! [SV33: $i,SV13: $i] :
      ( ( ( ~ ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) )
        = $true )
      | ( ( ~ ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) )
        = $true )
      | ( ( SV13 = SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[439]) ).

thf(499,plain,
    ! [SV33: $i,SV13: $i] :
      ( ( ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
        = $true )
      | ( ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
        = $true )
      | ( ( SV13 = SV33 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[440]) ).

thf(500,plain,
    ! [SV14: $i,SV34: $i] :
      ( ( ( ( SV34
           != ( sK19_Q @ SV34 @ SV14 ) ) )
        = $true )
      | ( ( end_point @ SV34 @ SV14 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[441]) ).

thf(501,plain,
    ! [SV14: $i,SV34: $i] :
      ( ( ( end_point @ ( sK19_Q @ SV34 @ SV14 ) @ SV14 )
        = $true )
      | ( ( end_point @ SV34 @ SV14 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[442]) ).

thf(502,plain,
    ! [SV56: $i,SV109: $i] :
      ( ( ( ~ ( end_point @ SV109 @ SV56 ) )
        = $true )
      | ( ( closed @ SV56 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[443]) ).

thf(503,plain,
    ! [SV58: $i,SV75: $i] :
      ( ( ( incident_o @ SV75 @ ( trajectory_of @ SV58 ) )
        = $false )
      | ( ( once @ ( at @ SV58 @ SV75 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[444]) ).

thf(504,plain,
    ! [SV76: $i,SV59: $i] :
      ( ( ( once @ ( at @ SV59 @ SV76 ) )
        = $false )
      | ( ( incident_o @ SV76 @ ( trajectory_of @ SV59 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(505,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) )
        = $true )
      | ( ( SV15 = SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[446]) ).

thf(506,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
        = $true )
      | ( ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 )
        = $true )
      | ( ( SV15 = SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[447]) ).

thf(507,plain,
    ! [SV92: $i,SV77: $i,SV16: $i] :
      ( ( ( ~ ( connect @ SV16 @ SV77 @ SV92 ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ ( at @ SV16 @ SV92 ) @ ( at @ SV77 @ SV92 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[448]) ).

thf(508,plain,
    ! [SV78: $i,SV93: $i,SV16: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV16 @ SV93 ) @ ( at @ SV78 @ SV93 ) ) ) )
        = $true )
      | ( ( connect @ SV16 @ SV78 @ SV93 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[449]) ).

thf(509,plain,
    ! [SV60: $i,SV94: $i] :
      ( ( ( end_point @ SV94 @ SV60 )
        = $false )
      | ( ( open @ SV60 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(510,plain,
    ! [SV95: $i,SV17: $i,SV110: $i,SV36: $i] :
      ( ( ( SV36 = SV110 )
        | ! [SY328: $i] :
            ( ~ ( end_point @ SV36 @ SY328 )
            | ~ ( part_of @ SY328 @ SV17 )
            | ~ ( end_point @ SV110 @ SY328 )
            | ~ ( inner_point @ SV95 @ SY328 ) )
        | ( between_c @ SV17 @ SV36 @ SV95 @ SV110 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(511,plain,
    ! [SV36: $i,SV17: $i] :
      ( ( ~ ! [SY249: $i,SY250: $i] :
              ( ~ ( between_c @ SV17 @ SV36 @ SY249 @ SY250 )
              | ( SV36 != SY250 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[453]) ).

thf(512,plain,
    ! [SV36: $i,SV17: $i] :
      ( ( ~ ! [SY251: $i,SY252: $i] :
              ( ~ ( between_c @ SV17 @ SV36 @ SY251 @ SY252 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) )
                              | ~ ( part_of @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) @ SV17 ) )
                        | ~ ( end_point @ SY252 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) )
                  | ~ ( inner_point @ SY251 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[453]) ).

thf(513,plain,
    ! [SV18: $i] :
      ( ( ! [SY181: $i] :
            ( ~ ( incident_c @ SY181 @ ( sK13_C @ SV18 ) )
            | ( incident_o @ SY181 @ SV18 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[454]) ).

thf(514,plain,
    ! [SV18: $i] :
      ( ( ! [SY182: $i] :
            ( ~ ( incident_o @ SY182 @ SV18 )
            | ( incident_c @ SY182 @ ( sK13_C @ SV18 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[455]) ).

thf(515,plain,
    ! [SV96: $i,SV79: $i,SV19: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SV79 ) @ SV96 ) ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SV79 @ SV96 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[456]) ).

thf(516,plain,
    ! [SV97: $i,SV80: $i,SV19: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SV80 @ SV97 ) ) ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SV80 ) @ SV97 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[457]) ).

thf(517,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i] :
      ( ( ! [SY329: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY329 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SY329 )
                    | ~ ( incident_o @ ( sK12_P @ SY329 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) )
                | ~ ( ( incident_c @ ( sK12_P @ SY329 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SY329 )
                    | ( incident_o @ ( sK12_P @ SY329 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) ) )
            | ~ ( between_c @ SY329 @ SV20 @ SV37 @ SV98 ) )
        | ( between_o @ SV111 @ SV20 @ SV37 @ SV98 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[458]) ).

thf(518,plain,
    ! [SV99: $i,SV37: $i,SV20: $i,SV112: $i] :
      ( ( ~ ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        | ~ ( ~ ~ ( ~ ! [SY330: $i] :
                        ( ~ ( incident_c @ SY330 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
                        | ( incident_o @ SY330 @ SV112 ) )
                  | ~ ! [SY331: $i] :
                        ( ~ ( incident_o @ SY331 @ SV112 )
                        | ( incident_c @ SY331 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) ) )
            | ~ ( between_c @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SV99 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[459]) ).

thf(519,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
                    | ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) )
              | ~ ( ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
                  | ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) ) )
          | ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[460]) ).

thf(520,plain,
    ! [SV21: $i] :
      ( ( ! [SY197: $i,SY198: $i] :
            ( ~ ( meet @ SV21 @ SY197 @ SY198 )
            | ~ ( ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY197 )
                      | ~ ( incident_c @ SX3 @ SY198 )
                      | ( end_point @ SX3 @ SY197 ) )
                | ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY197 )
                      | ~ ( incident_c @ SX3 @ SY198 )
                      | ( end_point @ SX3 @ SY198 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(521,plain,
    ! [SV21: $i] :
      ( ( ~ ( ~ ! [SY201: $i] :
                  ( ! [SY202: $i] :
                      ~ ( meet @ SV21 @ SY201 @ SY202 )
                  | ( incident_c @ SV21 @ SY201 ) )
            | ~ ! [SY203: $i,SY204: $i] :
                  ( ~ ( meet @ SV21 @ SY203 @ SY204 )
                  | ( incident_c @ SV21 @ SY204 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[462]) ).

thf(522,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                        | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 ) )
                    | ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                        | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) )
              | ~ ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                  | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 )
                  | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[463]) ).

thf(523,plain,
    ! [SV102: $i,SV83: $i,SV22: $i] :
      ( ( ( ( SV22
           != ( sum @ SV83 @ SV102 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY318: $i] :
                    ( ~ ( incident_c @ SY318 @ SV22 )
                    | ( incident_c @ SY318 @ SV83 )
                    | ( incident_c @ SY318 @ SV102 ) )
              | ~ ~ ( ~ ! [SY306: $i] :
                          ( ~ ( incident_c @ SY306 @ SV83 )
                          | ( incident_c @ SY306 @ SV22 ) )
                    | ~ ! [SY320: $i] :
                          ( ~ ( incident_c @ SY320 @ SV102 )
                          | ( incident_c @ SY320 @ SV22 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[464]) ).

thf(524,plain,
    ! [SV38: $i,SV23: $i] :
      ( ( ( SV23
          = ( sum @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) ) )
        = $true )
      | ( ( inner_point @ SV38 @ SV23 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[465]) ).

thf(525,plain,
    ! [SV23: $i,SV38: $i] :
      ( ( ( meet @ SV38 @ ( sK20_C1 @ SV38 @ SV23 ) @ ( sK21_SY131 @ SV38 @ SV23 ) )
        = $true )
      | ( ( inner_point @ SV38 @ SV23 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[466]) ).

thf(526,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV62
                         != ( sK14_Q @ SV84 @ SV62 ) ) )
                    | ~ ( incident_o @ ( sK14_Q @ SV84 @ SV62 ) @ SV84 ) )
              | ~ ~ ( ordered_by @ SV84 @ ( sK14_Q @ SV84 @ SV62 ) @ SV62 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[467]) ).

thf(527,plain,
    ! [SV113: $i] :
      ( ( ! [SY332: $i] :
            ( ~ ( finish_point @ SV113 @ SY332 )
            | ! [SY333: $i] :
                ( ( SV113 = SY333 )
                | ~ ( incident_o @ SY333 @ SY332 )
                | ( ordered_by @ SY332 @ SY333 @ SV113 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[468]) ).

thf(528,plain,
    ! [SV114: $i] :
      ( ( ! [SY334: $i] :
            ( ~ ( finish_point @ SV114 @ SY334 )
            | ( incident_o @ SV114 @ SY334 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(529,plain,
    ! [SV85: $i,SV63: $i] :
      ( ( ( ~ ( incident_c @ SV63 @ SV85 ) )
        = $true )
      | ( ( end_point @ SV63 @ SV85 )
        = $true )
      | ( ( inner_point @ SV63 @ SV85 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[470]) ).

thf(530,plain,
    ! [SV115: $i] :
      ( ( ! [SY335: $i] :
            ( ~ ( inner_point @ SV115 @ SY335 )
            | ( incident_c @ SV115 @ SY335 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[471]) ).

thf(531,plain,
    ! [SV116: $i] :
      ( ( ! [SY336: $i] :
            ( ~ ( inner_point @ SV116 @ SY336 )
            | ~ ( end_point @ SV116 @ SY336 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[472]) ).

thf(532,plain,
    ! [SV103: $i,SV64: $i] :
      ( ( ( once @ ( at_the_same_time @ SV64 @ SV103 ) )
        = $false )
      | ( ( once @ SV64 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[473]) ).

thf(533,plain,
    ! [SV86: $i,SV65: $i] :
      ( ( ( once @ ( at_the_same_time @ SV65 @ SV86 ) )
        = $false )
      | ( ( once @ SV86 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[474]) ).

thf(534,plain,
    ! [SV117: $i,SV87: $i,SV24: $i] :
      ( ( ( ~ ( ordered_by @ SV24 @ SV87 @ SV117 ) )
        = $true )
      | ( ( incident_o @ SV87 @ SV24 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[475]) ).

thf(535,plain,
    ! [SV104: $i,SV88: $i,SV24: $i] :
      ( ( ( ~ ( ordered_by @ SV24 @ SV88 @ SV104 ) )
        = $true )
      | ( ( incident_o @ SV104 @ SV24 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[476]) ).

thf(536,plain,
    ! [SV66: $i,SV89: $i] :
      ( ( ( ~ ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV89 )
          | ~ ~ ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV66 ) )
        = $false )
      | ( ( part_of @ SV89 @ SV66 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[477]) ).

thf(537,plain,
    ! [SV67: $i,SV90: $i] :
      ( ( ( part_of @ SV90 @ SV67 )
        = $false )
      | ( ( ! [SY310: $i] :
              ( ~ ( incident_c @ SY310 @ SV90 )
              | ( incident_c @ SY310 @ SV67 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(538,plain,
    ! [SV44: $i,SV39: $i,SV25: $i] :
      ( ( ( SV25 = SV39 )
        = $true )
      | ( ( ~ ( open @ SV44 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV25 @ SV44 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV39 @ SV44 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY271: $i] :
                          ( ~ ( incident_c @ SY271 @ SV44 )
                          | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
                    | ~ ! [SY272: $i] :
                          ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                          | ( incident_c @ SY272 @ SV44 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[479]) ).

thf(539,plain,
    ! [SV45: $i,SV40: $i,SV2: $i,SV27: $i] :
      ( ( ( ~ ( part_of @ SV27 @ SV2 ) )
        = $true )
      | ( ( ~ ( part_of @ SV40 @ SV2 ) )
        = $true )
      | ( ( ~ ( part_of @ SV45 @ SV2 ) )
        = $true )
      | ( ( ! [SY273: $i] :
              ( ~ ( end_point @ SY273 @ SV27 )
              | ~ ( end_point @ SY273 @ SV40 )
              | ~ ( end_point @ SY273 @ SV45 ) ) )
        = $true )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[480]) ).

thf(540,plain,
    ! [SV46: $i,SV41: $i,SV4: $i,SV28: $i] :
      ( ( ( end_point @ SV28 @ SV4 )
        = $false )
      | ( ( ~ ( end_point @ SV41 @ SV4 ) )
        = $true )
      | ( ( ~ ( end_point @ SV46 @ SV4 ) )
        = $true )
      | ( ( ( SV41 = SV46 )
          | ( SV28 = SV41 )
          | ( SV28 = SV46 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[481]) ).

thf(541,plain,
    ! [SV5: $i,SV42: $i,SV29: $i,SV118: $i] :
      ( ( ( ~ ( meet @ SV118 @ SV29 @ SV42 ) )
        = $true )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( ( SV5
           != ( sum @ SV29 @ SV42 ) ) )
        = $true )
      | ( ( ! [SY267: $i] :
              ( ~ ( end_point @ SY267 @ SV29 )
              | ( meet @ SY267 @ SV29 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[482]) ).

thf(542,plain,
    ! [SV48: $i,SV43: $i,SV31: $i,SV91: $i,SV10: $i,SV68: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV68 @ SV10 ) @ ( at @ SV91 @ SV31 ) ) ) )
        = $true )
      | ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV68 @ SV43 ) @ ( at @ SV91 @ SV48 ) ) ) )
        = $true )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV68 ) @ SV10 @ SV43 )
          | ~ ( ordered_by @ ( trajectory_of @ SV91 ) @ SV48 @ SV31 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[483]) ).

thf(543,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
              | ~ ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) ) )
        = $false )
      | ( ( SV52
          = ( underlying_curve @ SV71 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[486]) ).

thf(544,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
              | ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) ) )
        = $false )
      | ( ( SV52
          = ( underlying_curve @ SV71 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[486]) ).

thf(545,plain,
    ! [SV72: $i,SV53: $i] :
      ( ( ( ~ ! [SY296: $i] :
                ( ~ ( incident_c @ SY296 @ SV53 )
                | ( incident_o @ SY296 @ SV72 ) )
          | ~ ! [SY297: $i] :
                ( ~ ( incident_o @ SY297 @ SV72 )
                | ( incident_c @ SY297 @ SV53 ) ) )
        = $false )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(546,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV54
                     != ( sK15_Q @ SV73 @ SV54 ) ) )
                | ~ ( incident_o @ ( sK15_Q @ SV73 @ SV54 ) @ SV73 ) )
          | ~ ~ ( ordered_by @ SV73 @ SV54 @ ( sK15_Q @ SV73 @ SV54 ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[488]) ).

thf(547,plain,
    ! [SV119: $i,SV105: $i] :
      ( ( ~ ( start_point @ SV105 @ SV119 )
        | ! [SY337: $i] :
            ( ( SV105 = SY337 )
            | ~ ( incident_o @ SY337 @ SV119 )
            | ( ordered_by @ SV119 @ SV105 @ SY337 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[489]) ).

thf(548,plain,
    ! [SV120: $i,SV106: $i] :
      ( ( ~ ( start_point @ SV106 @ SV120 )
        | ( incident_o @ SV106 @ SV120 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[490]) ).

thf(549,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                            | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
                      | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) )
                | ~ ( incident_c @ SV55 @ ( sK27_SY132 @ SV74 @ SV55 ) ) )
          | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) )
                | ~ ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[491]) ).

thf(550,plain,
    ! [SV121: $i,SV107: $i] :
      ( ( ~ ( end_point @ SV107 @ SV121 )
        | ! [SY338: $i,SY339: $i] :
            ( ~ ( part_of @ SY338 @ SV121 )
            | ~ ( part_of @ SY339 @ SV121 )
            | ~ ( incident_c @ SV107 @ SY338 )
            | ~ ( incident_c @ SV107 @ SY339 )
            | ( part_of @ SY338 @ SY339 )
            | ( part_of @ SY339 @ SY338 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[492]) ).

thf(551,plain,
    ! [SV122: $i,SV108: $i] :
      ( ( ~ ( end_point @ SV108 @ SV122 )
        | ( incident_c @ SV108 @ SV122 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[493]) ).

thf(552,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ( ~ ! [SY234: $i,SY235: $i] :
                  ( ~ ( between_o @ SV12 @ SV32 @ SY234 @ SY235 )
                  | ( ordered_by @ SV12 @ SV32 @ SY234 )
                  | ( ordered_by @ SV12 @ SY235 @ SY234 ) )
            | ~ ! [SY236: $i] :
                  ( ! [SY237: $i] :
                      ~ ( between_o @ SV12 @ SV32 @ SY236 @ SY237 )
                  | ( ordered_by @ SV12 @ SV32 @ SY236 )
                  | ( ordered_by @ SV12 @ SY236 @ SV32 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[494]) ).

thf(553,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ( ~ ! [SY238: $i,SY239: $i] :
                  ( ~ ( between_o @ SV12 @ SV32 @ SY238 @ SY239 )
                  | ( ordered_by @ SV12 @ SY238 @ SY239 )
                  | ( ordered_by @ SV12 @ SY239 @ SY238 ) )
            | ~ ! [SY240: $i,SY241: $i] :
                  ( ~ ( between_o @ SV12 @ SV32 @ SY240 @ SY241 )
                  | ( ordered_by @ SV12 @ SY240 @ SY241 )
                  | ( ordered_by @ SV12 @ SY240 @ SV32 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[495]) ).

thf(554,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ! [SY242: $i,SY243: $i] :
            ( ~ ( ordered_by @ SV12 @ SV32 @ SY242 )
            | ~ ( ordered_by @ SV12 @ SY242 @ SY243 )
            | ( between_o @ SV12 @ SV32 @ SY242 @ SY243 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[496]) ).

thf(555,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ! [SY244: $i,SY245: $i] :
            ( ~ ( ordered_by @ SV12 @ SY245 @ SY244 )
            | ~ ( ordered_by @ SV12 @ SY244 @ SV32 )
            | ( between_o @ SV12 @ SV32 @ SY244 @ SY245 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[497]) ).

thf(556,plain,
    ! [SV33: $i,SV13: $i] :
      ( ( ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
        = $false )
      | ( ( ~ ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) ) )
        = $true )
      | ( ( SV13 = SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[498]) ).

thf(557,plain,
    ! [SV14: $i,SV34: $i] :
      ( ( ( SV34
          = ( sK19_Q @ SV34 @ SV14 ) )
        = $false )
      | ( ( end_point @ SV34 @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[500]) ).

thf(558,plain,
    ! [SV56: $i,SV109: $i] :
      ( ( ( end_point @ SV109 @ SV56 )
        = $false )
      | ( ( closed @ SV56 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[502]) ).

thf(559,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 ) )
        = $true )
      | ( ( SV15 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[505]) ).

thf(560,plain,
    ! [SV92: $i,SV77: $i,SV16: $i] :
      ( ( ( connect @ SV16 @ SV77 @ SV92 )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV16 @ SV92 ) @ ( at @ SV77 @ SV92 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[507]) ).

thf(561,plain,
    ! [SV78: $i,SV93: $i,SV16: $i] :
      ( ( ( once @ ( at_the_same_time @ ( at @ SV16 @ SV93 ) @ ( at @ SV78 @ SV93 ) ) )
        = $false )
      | ( ( connect @ SV16 @ SV78 @ SV93 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[508]) ).

thf(562,plain,
    ! [SV95: $i,SV17: $i,SV110: $i,SV36: $i] :
      ( ( ( ( SV36 = SV110 )
          | ! [SY328: $i] :
              ( ~ ( end_point @ SV36 @ SY328 )
              | ~ ( part_of @ SY328 @ SV17 )
              | ~ ( end_point @ SV110 @ SY328 )
              | ~ ( inner_point @ SV95 @ SY328 ) ) )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV95 @ SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[510]) ).

thf(563,plain,
    ! [SV36: $i,SV17: $i] :
      ( ( ! [SY249: $i,SY250: $i] :
            ( ~ ( between_c @ SV17 @ SV36 @ SY249 @ SY250 )
            | ( SV36 != SY250 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[511]) ).

thf(564,plain,
    ! [SV36: $i,SV17: $i] :
      ( ( ! [SY251: $i,SY252: $i] :
            ( ~ ( between_c @ SV17 @ SV36 @ SY251 @ SY252 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) )
                            | ~ ( part_of @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) @ SV17 ) )
                      | ~ ( end_point @ SY252 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) )
                | ~ ( inner_point @ SY251 @ ( sK16_Cpp @ SY252 @ SY251 @ SV36 @ SV17 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[512]) ).

thf(565,plain,
    ! [SV18: $i,SV123: $i] :
      ( ( ~ ( incident_c @ SV123 @ ( sK13_C @ SV18 ) )
        | ( incident_o @ SV123 @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[513]) ).

thf(566,plain,
    ! [SV18: $i,SV124: $i] :
      ( ( ~ ( incident_o @ SV124 @ SV18 )
        | ( incident_c @ SV124 @ ( sK13_C @ SV18 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[514]) ).

thf(567,plain,
    ! [SV96: $i,SV79: $i,SV19: $i] :
      ( ( ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SV79 ) @ SV96 ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SV79 @ SV96 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[515]) ).

thf(568,plain,
    ! [SV97: $i,SV80: $i,SV19: $i] :
      ( ( ( once @ ( at_the_same_time @ SV19 @ ( at_the_same_time @ SV80 @ SV97 ) ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at_the_same_time @ SV19 @ SV80 ) @ SV97 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[516]) ).

thf(569,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i] :
      ( ( ( ! [SY329: $i] :
              ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY329 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SY329 )
                      | ~ ( incident_o @ ( sK12_P @ SY329 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) )
                  | ~ ( ( incident_c @ ( sK12_P @ SY329 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SY329 )
                      | ( incident_o @ ( sK12_P @ SY329 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) ) )
              | ~ ( between_c @ SY329 @ SV20 @ SV37 @ SV98 ) ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[517]) ).

thf(570,plain,
    ! [SV99: $i,SV37: $i,SV20: $i,SV112: $i] :
      ( ( ( ~ ( between_o @ SV112 @ SV20 @ SV37 @ SV99 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY330: $i] :
                          ( ~ ( incident_c @ SY330 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
                          | ( incident_o @ SY330 @ SV112 ) )
                    | ~ ! [SY331: $i] :
                          ( ~ ( incident_o @ SY331 @ SV112 )
                          | ( incident_c @ SY331 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) ) )
              | ~ ( between_c @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SV99 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[518]) ).

thf(571,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
                    | ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) )
              | ~ ( ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
                  | ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[519]) ).

thf(572,plain,
    ! [SV125: $i,SV21: $i] :
      ( ( ! [SY340: $i] :
            ( ~ ( meet @ SV21 @ SV125 @ SY340 )
            | ~ ( ~ ! [SY341: $i] :
                      ( ~ ( incident_c @ SY341 @ SV125 )
                      | ~ ( incident_c @ SY341 @ SY340 )
                      | ( end_point @ SY341 @ SV125 ) )
                | ~ ! [SY342: $i] :
                      ( ~ ( incident_c @ SY342 @ SV125 )
                      | ~ ( incident_c @ SY342 @ SY340 )
                      | ( end_point @ SY342 @ SY340 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[520]) ).

thf(573,plain,
    ! [SV21: $i] :
      ( ( ~ ! [SY201: $i] :
              ( ! [SY202: $i] :
                  ~ ( meet @ SV21 @ SY201 @ SY202 )
              | ( incident_c @ SV21 @ SY201 ) )
        | ~ ! [SY203: $i,SY204: $i] :
              ( ~ ( meet @ SV21 @ SY203 @ SY204 )
              | ( incident_c @ SV21 @ SY204 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[521]) ).

thf(574,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                    | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 ) )
                | ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                    | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) )
          | ~ ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
              | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 )
              | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[522]) ).

thf(575,plain,
    ! [SV102: $i,SV83: $i,SV22: $i] :
      ( ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY318: $i] :
                    ( ~ ( incident_c @ SY318 @ SV22 )
                    | ( incident_c @ SY318 @ SV83 )
                    | ( incident_c @ SY318 @ SV102 ) )
              | ~ ~ ( ~ ! [SY306: $i] :
                          ( ~ ( incident_c @ SY306 @ SV83 )
                          | ( incident_c @ SY306 @ SV22 ) )
                    | ~ ! [SY320: $i] :
                          ( ~ ( incident_c @ SY320 @ SV102 )
                          | ( incident_c @ SY320 @ SV22 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[523]) ).

thf(576,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV62
                     != ( sK14_Q @ SV84 @ SV62 ) ) )
                | ~ ( incident_o @ ( sK14_Q @ SV84 @ SV62 ) @ SV84 ) )
          | ~ ~ ( ordered_by @ SV84 @ ( sK14_Q @ SV84 @ SV62 ) @ SV62 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[526]) ).

thf(577,plain,
    ! [SV126: $i,SV113: $i] :
      ( ( ~ ( finish_point @ SV113 @ SV126 )
        | ! [SY343: $i] :
            ( ( SV113 = SY343 )
            | ~ ( incident_o @ SY343 @ SV126 )
            | ( ordered_by @ SV126 @ SY343 @ SV113 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[527]) ).

thf(578,plain,
    ! [SV127: $i,SV114: $i] :
      ( ( ~ ( finish_point @ SV114 @ SV127 )
        | ( incident_o @ SV114 @ SV127 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[528]) ).

thf(579,plain,
    ! [SV85: $i,SV63: $i] :
      ( ( ( incident_c @ SV63 @ SV85 )
        = $false )
      | ( ( end_point @ SV63 @ SV85 )
        = $true )
      | ( ( inner_point @ SV63 @ SV85 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[529]) ).

thf(580,plain,
    ! [SV128: $i,SV115: $i] :
      ( ( ~ ( inner_point @ SV115 @ SV128 )
        | ( incident_c @ SV115 @ SV128 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[530]) ).

thf(581,plain,
    ! [SV129: $i,SV116: $i] :
      ( ( ~ ( inner_point @ SV116 @ SV129 )
        | ~ ( end_point @ SV116 @ SV129 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[531]) ).

thf(582,plain,
    ! [SV117: $i,SV87: $i,SV24: $i] :
      ( ( ( ordered_by @ SV24 @ SV87 @ SV117 )
        = $false )
      | ( ( incident_o @ SV87 @ SV24 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[534]) ).

thf(583,plain,
    ! [SV104: $i,SV88: $i,SV24: $i] :
      ( ( ( ordered_by @ SV24 @ SV88 @ SV104 )
        = $false )
      | ( ( incident_o @ SV104 @ SV24 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[535]) ).

thf(584,plain,
    ! [SV66: $i,SV89: $i] :
      ( ( ( ~ ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV89 ) )
        = $false )
      | ( ( part_of @ SV89 @ SV66 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[536]) ).

thf(585,plain,
    ! [SV66: $i,SV89: $i] :
      ( ( ( ~ ~ ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV66 ) )
        = $false )
      | ( ( part_of @ SV89 @ SV66 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[536]) ).

thf(586,plain,
    ! [SV67: $i,SV90: $i,SV130: $i] :
      ( ( ( ~ ( incident_c @ SV130 @ SV90 )
          | ( incident_c @ SV130 @ SV67 ) )
        = $true )
      | ( ( part_of @ SV90 @ SV67 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[537]) ).

thf(587,plain,
    ! [SV39: $i,SV25: $i,SV44: $i] :
      ( ( ( open @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( ~ ( incident_c @ SV25 @ SV44 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV39 @ SV44 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY271: $i] :
                          ( ~ ( incident_c @ SY271 @ SV44 )
                          | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
                    | ~ ! [SY272: $i] :
                          ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                          | ( incident_c @ SY272 @ SV44 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[538]) ).

thf(588,plain,
    ! [SV45: $i,SV40: $i,SV2: $i,SV27: $i] :
      ( ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( ~ ( part_of @ SV40 @ SV2 ) )
        = $true )
      | ( ( ~ ( part_of @ SV45 @ SV2 ) )
        = $true )
      | ( ( ! [SY273: $i] :
              ( ~ ( end_point @ SY273 @ SV27 )
              | ~ ( end_point @ SY273 @ SV40 )
              | ~ ( end_point @ SY273 @ SV45 ) ) )
        = $true )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[539]) ).

thf(589,plain,
    ! [SV46: $i,SV28: $i,SV4: $i,SV41: $i] :
      ( ( ( end_point @ SV41 @ SV4 )
        = $false )
      | ( ( end_point @ SV28 @ SV4 )
        = $false )
      | ( ( ~ ( end_point @ SV46 @ SV4 ) )
        = $true )
      | ( ( ( SV41 = SV46 )
          | ( SV28 = SV41 )
          | ( SV28 = SV46 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[540]) ).

thf(590,plain,
    ! [SV5: $i,SV42: $i,SV29: $i,SV118: $i] :
      ( ( ( meet @ SV118 @ SV29 @ SV42 )
        = $false )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( ( SV5
           != ( sum @ SV29 @ SV42 ) ) )
        = $true )
      | ( ( ! [SY267: $i] :
              ( ~ ( end_point @ SY267 @ SV29 )
              | ( meet @ SY267 @ SV29 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(591,plain,
    ! [SV48: $i,SV43: $i,SV31: $i,SV91: $i,SV10: $i,SV68: $i] :
      ( ( ( once @ ( at_the_same_time @ ( at @ SV68 @ SV10 ) @ ( at @ SV91 @ SV31 ) ) )
        = $false )
      | ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV68 @ SV43 ) @ ( at @ SV91 @ SV48 ) ) ) )
        = $true )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV68 ) @ SV10 @ SV43 )
          | ~ ( ordered_by @ ( trajectory_of @ SV91 ) @ SV48 @ SV31 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[542]) ).

thf(592,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
          | ~ ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) )
        = $true )
      | ( ( SV52
          = ( underlying_curve @ SV71 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[543]) ).

thf(593,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ( ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
          | ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) )
        = $true )
      | ( ( SV52
          = ( underlying_curve @ SV71 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[544]) ).

thf(594,plain,
    ! [SV72: $i,SV53: $i] :
      ( ( ( ~ ! [SY296: $i] :
                ( ~ ( incident_c @ SY296 @ SV53 )
                | ( incident_o @ SY296 @ SV72 ) ) )
        = $false )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[545]) ).

thf(595,plain,
    ! [SV53: $i,SV72: $i] :
      ( ( ( ~ ! [SY297: $i] :
                ( ~ ( incident_o @ SY297 @ SV72 )
                | ( incident_c @ SY297 @ SV53 ) ) )
        = $false )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[545]) ).

thf(596,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV54
                     != ( sK15_Q @ SV73 @ SV54 ) ) )
                | ~ ( incident_o @ ( sK15_Q @ SV73 @ SV54 ) @ SV73 ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[546]) ).

thf(597,plain,
    ! [SV54: $i,SV73: $i] :
      ( ( ( ~ ~ ( ordered_by @ SV73 @ SV54 @ ( sK15_Q @ SV73 @ SV54 ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[546]) ).

thf(598,plain,
    ! [SV119: $i,SV105: $i] :
      ( ( ( ~ ( start_point @ SV105 @ SV119 ) )
        = $true )
      | ( ( ! [SY337: $i] :
              ( ( SV105 = SY337 )
              | ~ ( incident_o @ SY337 @ SV119 )
              | ( ordered_by @ SV119 @ SV105 @ SY337 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[547]) ).

thf(599,plain,
    ! [SV120: $i,SV106: $i] :
      ( ( ( ~ ( start_point @ SV106 @ SV120 ) )
        = $true )
      | ( ( incident_o @ SV106 @ SV120 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[548]) ).

thf(600,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                            | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
                      | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) )
                | ~ ( incident_c @ SV55 @ ( sK27_SY132 @ SV74 @ SV55 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[549]) ).

thf(601,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) )
                | ~ ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[549]) ).

thf(602,plain,
    ! [SV121: $i,SV107: $i] :
      ( ( ( ~ ( end_point @ SV107 @ SV121 ) )
        = $true )
      | ( ( ! [SY338: $i,SY339: $i] :
              ( ~ ( part_of @ SY338 @ SV121 )
              | ~ ( part_of @ SY339 @ SV121 )
              | ~ ( incident_c @ SV107 @ SY338 )
              | ~ ( incident_c @ SV107 @ SY339 )
              | ( part_of @ SY338 @ SY339 )
              | ( part_of @ SY339 @ SY338 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[550]) ).

thf(603,plain,
    ! [SV122: $i,SV108: $i] :
      ( ( ( ~ ( end_point @ SV108 @ SV122 ) )
        = $true )
      | ( ( incident_c @ SV108 @ SV122 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[551]) ).

thf(604,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ! [SY234: $i,SY235: $i] :
              ( ~ ( between_o @ SV12 @ SV32 @ SY234 @ SY235 )
              | ( ordered_by @ SV12 @ SV32 @ SY234 )
              | ( ordered_by @ SV12 @ SY235 @ SY234 ) )
        | ~ ! [SY236: $i] :
              ( ! [SY237: $i] :
                  ~ ( between_o @ SV12 @ SV32 @ SY236 @ SY237 )
              | ( ordered_by @ SV12 @ SV32 @ SY236 )
              | ( ordered_by @ SV12 @ SY236 @ SV32 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[552]) ).

thf(605,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ! [SY238: $i,SY239: $i] :
              ( ~ ( between_o @ SV12 @ SV32 @ SY238 @ SY239 )
              | ( ordered_by @ SV12 @ SY238 @ SY239 )
              | ( ordered_by @ SV12 @ SY239 @ SY238 ) )
        | ~ ! [SY240: $i,SY241: $i] :
              ( ~ ( between_o @ SV12 @ SV32 @ SY240 @ SY241 )
              | ( ordered_by @ SV12 @ SY240 @ SY241 )
              | ( ordered_by @ SV12 @ SY240 @ SV32 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[553]) ).

thf(606,plain,
    ! [SV131: $i,SV32: $i,SV12: $i] :
      ( ( ! [SY344: $i] :
            ( ~ ( ordered_by @ SV12 @ SV32 @ SV131 )
            | ~ ( ordered_by @ SV12 @ SV131 @ SY344 )
            | ( between_o @ SV12 @ SV32 @ SV131 @ SY344 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[554]) ).

thf(607,plain,
    ! [SV32: $i,SV132: $i,SV12: $i] :
      ( ( ! [SY345: $i] :
            ( ~ ( ordered_by @ SV12 @ SY345 @ SV132 )
            | ~ ( ordered_by @ SV12 @ SV132 @ SV32 )
            | ( between_o @ SV12 @ SV32 @ SV132 @ SY345 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(608,plain,
    ! [SV13: $i,SV33: $i] :
      ( ( ( ordered_by @ SV33 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
        = $false )
      | ( ( ordered_by @ SV13 @ ( sK7_P @ SV33 @ SV13 ) @ ( sK8_SY124 @ SV33 @ SV13 ) )
        = $false )
      | ( ( SV13 = SV33 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[556]) ).

thf(609,plain,
    ! [SV15: $i,SV35: $i] :
      ( ( ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV35 )
        = $false )
      | ( ( incident_c @ ( sK17_P @ SV35 @ SV15 ) @ SV15 )
        = $false )
      | ( ( SV15 = SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(610,plain,
    ! [SV95: $i,SV17: $i,SV110: $i,SV36: $i] :
      ( ( ( SV36 = SV110 )
        = $true )
      | ( ( ! [SY328: $i] :
              ( ~ ( end_point @ SV36 @ SY328 )
              | ~ ( part_of @ SY328 @ SV17 )
              | ~ ( end_point @ SV110 @ SY328 )
              | ~ ( inner_point @ SV95 @ SY328 ) ) )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV95 @ SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[562]) ).

thf(611,plain,
    ! [SV133: $i,SV36: $i,SV17: $i] :
      ( ( ! [SY346: $i] :
            ( ~ ( between_c @ SV17 @ SV36 @ SV133 @ SY346 )
            | ( SV36 != SY346 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[563]) ).

thf(612,plain,
    ! [SV134: $i,SV36: $i,SV17: $i] :
      ( ( ! [SY347: $i] :
            ( ~ ( between_c @ SV17 @ SV36 @ SV134 @ SY347 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SY347 @ SV134 @ SV36 @ SV17 ) )
                            | ~ ( part_of @ ( sK16_Cpp @ SY347 @ SV134 @ SV36 @ SV17 ) @ SV17 ) )
                      | ~ ( end_point @ SY347 @ ( sK16_Cpp @ SY347 @ SV134 @ SV36 @ SV17 ) ) )
                | ~ ( inner_point @ SV134 @ ( sK16_Cpp @ SY347 @ SV134 @ SV36 @ SV17 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[564]) ).

thf(613,plain,
    ! [SV18: $i,SV123: $i] :
      ( ( ( ~ ( incident_c @ SV123 @ ( sK13_C @ SV18 ) ) )
        = $true )
      | ( ( incident_o @ SV123 @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[565]) ).

thf(614,plain,
    ! [SV18: $i,SV124: $i] :
      ( ( ( ~ ( incident_o @ SV124 @ SV18 ) )
        = $true )
      | ( ( incident_c @ SV124 @ ( sK13_C @ SV18 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[566]) ).

thf(615,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
                  | ~ ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) )
              | ~ ( ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
                  | ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) ) )
          | ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[569]) ).

thf(616,plain,
    ! [SV99: $i,SV37: $i,SV20: $i,SV112: $i] :
      ( ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ! [SY330: $i] :
                          ( ~ ( incident_c @ SY330 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
                          | ( incident_o @ SY330 @ SV112 ) )
                    | ~ ! [SY331: $i] :
                          ( ~ ( incident_o @ SY331 @ SV112 )
                          | ( incident_c @ SY331 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) ) )
              | ~ ( between_c @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SV99 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(617,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
                | ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) )
          | ~ ( ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
              | ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[571]) ).

thf(618,plain,
    ! [SV136: $i,SV125: $i,SV21: $i] :
      ( ( ~ ( meet @ SV21 @ SV125 @ SV136 )
        | ~ ( ~ ! [SY348: $i] :
                  ( ~ ( incident_c @ SY348 @ SV125 )
                  | ~ ( incident_c @ SY348 @ SV136 )
                  | ( end_point @ SY348 @ SV125 ) )
            | ~ ! [SY349: $i] :
                  ( ~ ( incident_c @ SY349 @ SV125 )
                  | ~ ( incident_c @ SY349 @ SV136 )
                  | ( end_point @ SY349 @ SV136 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[572]) ).

thf(619,plain,
    ! [SV21: $i] :
      ( ( ~ ! [SY201: $i] :
              ( ! [SY202: $i] :
                  ~ ( meet @ SV21 @ SY201 @ SY202 )
              | ( incident_c @ SV21 @ SY201 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[573]) ).

thf(620,plain,
    ! [SV21: $i] :
      ( ( ~ ! [SY203: $i,SY204: $i] :
              ( ~ ( meet @ SV21 @ SY203 @ SY204 )
              | ( incident_c @ SV21 @ SY204 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[573]) ).

thf(621,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                    | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 ) )
                | ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                    | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[574]) ).

thf(622,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
              | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 )
              | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[574]) ).

thf(623,plain,
    ! [SV102: $i,SV83: $i,SV22: $i] :
      ( ( ( ~ ! [SY318: $i] :
                ( ~ ( incident_c @ SY318 @ SV22 )
                | ( incident_c @ SY318 @ SV83 )
                | ( incident_c @ SY318 @ SV102 ) )
          | ~ ~ ( ~ ! [SY306: $i] :
                      ( ~ ( incident_c @ SY306 @ SV83 )
                      | ( incident_c @ SY306 @ SV22 ) )
                | ~ ! [SY320: $i] :
                      ( ~ ( incident_c @ SY320 @ SV102 )
                      | ( incident_c @ SY320 @ SV22 ) ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[575]) ).

thf(624,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV62
                     != ( sK14_Q @ SV84 @ SV62 ) ) )
                | ~ ( incident_o @ ( sK14_Q @ SV84 @ SV62 ) @ SV84 ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[576]) ).

thf(625,plain,
    ! [SV62: $i,SV84: $i] :
      ( ( ( ~ ~ ( ordered_by @ SV84 @ ( sK14_Q @ SV84 @ SV62 ) @ SV62 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[576]) ).

thf(626,plain,
    ! [SV126: $i,SV113: $i] :
      ( ( ( ~ ( finish_point @ SV113 @ SV126 ) )
        = $true )
      | ( ( ! [SY343: $i] :
              ( ( SV113 = SY343 )
              | ~ ( incident_o @ SY343 @ SV126 )
              | ( ordered_by @ SV126 @ SY343 @ SV113 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[577]) ).

thf(627,plain,
    ! [SV127: $i,SV114: $i] :
      ( ( ( ~ ( finish_point @ SV114 @ SV127 ) )
        = $true )
      | ( ( incident_o @ SV114 @ SV127 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[578]) ).

thf(628,plain,
    ! [SV128: $i,SV115: $i] :
      ( ( ( ~ ( inner_point @ SV115 @ SV128 ) )
        = $true )
      | ( ( incident_c @ SV115 @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[580]) ).

thf(629,plain,
    ! [SV129: $i,SV116: $i] :
      ( ( ( ~ ( inner_point @ SV116 @ SV129 ) )
        = $true )
      | ( ( ~ ( end_point @ SV116 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[581]) ).

thf(630,plain,
    ! [SV66: $i,SV89: $i] :
      ( ( ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV89 )
        = $true )
      | ( ( part_of @ SV89 @ SV66 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[584]) ).

thf(631,plain,
    ! [SV66: $i,SV89: $i] :
      ( ( ( ~ ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV66 ) )
        = $true )
      | ( ( part_of @ SV89 @ SV66 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[585]) ).

thf(632,plain,
    ! [SV67: $i,SV90: $i,SV130: $i] :
      ( ( ( ~ ( incident_c @ SV130 @ SV90 ) )
        = $true )
      | ( ( incident_c @ SV130 @ SV67 )
        = $true )
      | ( ( part_of @ SV90 @ SV67 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[586]) ).

thf(633,plain,
    ! [SV39: $i,SV44: $i,SV25: $i] :
      ( ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( ~ ( incident_c @ SV39 @ SV44 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY271: $i] :
                          ( ~ ( incident_c @ SY271 @ SV44 )
                          | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
                    | ~ ! [SY272: $i] :
                          ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                          | ( incident_c @ SY272 @ SV44 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[587]) ).

thf(634,plain,
    ! [SV45: $i,SV27: $i,SV2: $i,SV40: $i] :
      ( ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( ~ ( part_of @ SV45 @ SV2 ) )
        = $true )
      | ( ( ! [SY273: $i] :
              ( ~ ( end_point @ SY273 @ SV27 )
              | ~ ( end_point @ SY273 @ SV40 )
              | ~ ( end_point @ SY273 @ SV45 ) ) )
        = $true )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[588]) ).

thf(635,plain,
    ! [SV41: $i,SV28: $i,SV4: $i,SV46: $i] :
      ( ( ( end_point @ SV46 @ SV4 )
        = $false )
      | ( ( end_point @ SV28 @ SV4 )
        = $false )
      | ( ( end_point @ SV41 @ SV4 )
        = $false )
      | ( ( ( SV41 = SV46 )
          | ( SV28 = SV41 )
          | ( SV28 = SV46 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(636,plain,
    ! [SV118: $i,SV42: $i,SV29: $i,SV5: $i] :
      ( ( ( SV5
          = ( sum @ SV29 @ SV42 ) )
        = $false )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( meet @ SV118 @ SV29 @ SV42 )
        = $false )
      | ( ( ! [SY267: $i] :
              ( ~ ( end_point @ SY267 @ SV29 )
              | ( meet @ SY267 @ SV29 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[590]) ).

thf(637,plain,
    ! [SV31: $i,SV10: $i,SV48: $i,SV91: $i,SV43: $i,SV68: $i] :
      ( ( ( once @ ( at_the_same_time @ ( at @ SV68 @ SV43 ) @ ( at @ SV91 @ SV48 ) ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV68 @ SV10 ) @ ( at @ SV91 @ SV31 ) ) )
        = $false )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV68 ) @ SV10 @ SV43 )
          | ~ ( ordered_by @ ( trajectory_of @ SV91 ) @ SV48 @ SV31 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(638,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 ) )
        = $true )
      | ( ( ~ ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) )
        = $true )
      | ( ( SV52
          = ( underlying_curve @ SV71 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[592]) ).

thf(639,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
        = $true )
      | ( ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 )
        = $true )
      | ( ( SV52
          = ( underlying_curve @ SV71 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[593]) ).

thf(640,plain,
    ! [SV72: $i,SV53: $i] :
      ( ( ( ! [SY296: $i] :
              ( ~ ( incident_c @ SY296 @ SV53 )
              | ( incident_o @ SY296 @ SV72 ) ) )
        = $true )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[594]) ).

thf(641,plain,
    ! [SV53: $i,SV72: $i] :
      ( ( ( ! [SY297: $i] :
              ( ~ ( incident_o @ SY297 @ SV72 )
              | ( incident_c @ SY297 @ SV53 ) ) )
        = $true )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[595]) ).

thf(642,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( ~ ( ~ ( ( SV54
                   != ( sK15_Q @ SV73 @ SV54 ) ) )
              | ~ ( incident_o @ ( sK15_Q @ SV73 @ SV54 ) @ SV73 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[596]) ).

thf(643,plain,
    ! [SV54: $i,SV73: $i] :
      ( ( ( ~ ( ordered_by @ SV73 @ SV54 @ ( sK15_Q @ SV73 @ SV54 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[597]) ).

thf(644,plain,
    ! [SV119: $i,SV105: $i] :
      ( ( ( start_point @ SV105 @ SV119 )
        = $false )
      | ( ( ! [SY337: $i] :
              ( ( SV105 = SY337 )
              | ~ ( incident_o @ SY337 @ SV119 )
              | ( ordered_by @ SV119 @ SV105 @ SY337 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[598]) ).

thf(645,plain,
    ! [SV120: $i,SV106: $i] :
      ( ( ( start_point @ SV106 @ SV120 )
        = $false )
      | ( ( incident_o @ SV106 @ SV120 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[599]) ).

thf(646,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                          | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
                    | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) )
              | ~ ( incident_c @ SV55 @ ( sK27_SY132 @ SV74 @ SV55 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[600]) ).

thf(647,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) )
              | ~ ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[601]) ).

thf(648,plain,
    ! [SV121: $i,SV107: $i] :
      ( ( ( end_point @ SV107 @ SV121 )
        = $false )
      | ( ( ! [SY338: $i,SY339: $i] :
              ( ~ ( part_of @ SY338 @ SV121 )
              | ~ ( part_of @ SY339 @ SV121 )
              | ~ ( incident_c @ SV107 @ SY338 )
              | ~ ( incident_c @ SV107 @ SY339 )
              | ( part_of @ SY338 @ SY339 )
              | ( part_of @ SY339 @ SY338 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[602]) ).

thf(649,plain,
    ! [SV122: $i,SV108: $i] :
      ( ( ( end_point @ SV108 @ SV122 )
        = $false )
      | ( ( incident_c @ SV108 @ SV122 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[603]) ).

thf(650,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ! [SY234: $i,SY235: $i] :
              ( ~ ( between_o @ SV12 @ SV32 @ SY234 @ SY235 )
              | ( ordered_by @ SV12 @ SV32 @ SY234 )
              | ( ordered_by @ SV12 @ SY235 @ SY234 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[604]) ).

thf(651,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ! [SY236: $i] :
              ( ! [SY237: $i] :
                  ~ ( between_o @ SV12 @ SV32 @ SY236 @ SY237 )
              | ( ordered_by @ SV12 @ SV32 @ SY236 )
              | ( ordered_by @ SV12 @ SY236 @ SV32 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[604]) ).

thf(652,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ! [SY238: $i,SY239: $i] :
              ( ~ ( between_o @ SV12 @ SV32 @ SY238 @ SY239 )
              | ( ordered_by @ SV12 @ SY238 @ SY239 )
              | ( ordered_by @ SV12 @ SY239 @ SY238 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[605]) ).

thf(653,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ~ ! [SY240: $i,SY241: $i] :
              ( ~ ( between_o @ SV12 @ SV32 @ SY240 @ SY241 )
              | ( ordered_by @ SV12 @ SY240 @ SY241 )
              | ( ordered_by @ SV12 @ SY240 @ SV32 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[605]) ).

thf(654,plain,
    ! [SV137: $i,SV131: $i,SV32: $i,SV12: $i] :
      ( ( ~ ( ordered_by @ SV12 @ SV32 @ SV131 )
        | ~ ( ordered_by @ SV12 @ SV131 @ SV137 )
        | ( between_o @ SV12 @ SV32 @ SV131 @ SV137 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[606]) ).

thf(655,plain,
    ! [SV32: $i,SV132: $i,SV138: $i,SV12: $i] :
      ( ( ~ ( ordered_by @ SV12 @ SV138 @ SV132 )
        | ~ ( ordered_by @ SV12 @ SV132 @ SV32 )
        | ( between_o @ SV12 @ SV32 @ SV132 @ SV138 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[607]) ).

thf(656,plain,
    ! [SV95: $i,SV110: $i,SV17: $i,SV139: $i,SV36: $i] :
      ( ( ( ~ ( end_point @ SV36 @ SV139 )
          | ~ ( part_of @ SV139 @ SV17 )
          | ~ ( end_point @ SV110 @ SV139 )
          | ~ ( inner_point @ SV95 @ SV139 ) )
        = $true )
      | ( ( SV36 = SV110 )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV95 @ SV110 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[610]) ).

thf(657,plain,
    ! [SV140: $i,SV133: $i,SV36: $i,SV17: $i] :
      ( ( ~ ( between_c @ SV17 @ SV36 @ SV133 @ SV140 )
        | ( SV36 != SV140 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[611]) ).

thf(658,plain,
    ! [SV141: $i,SV134: $i,SV36: $i,SV17: $i] :
      ( ( ~ ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
                        | ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) )
                  | ~ ( end_point @ SV141 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) )
            | ~ ( inner_point @ SV134 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[612]) ).

thf(659,plain,
    ! [SV18: $i,SV123: $i] :
      ( ( ( incident_c @ SV123 @ ( sK13_C @ SV18 ) )
        = $false )
      | ( ( incident_o @ SV123 @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[613]) ).

thf(660,plain,
    ! [SV18: $i,SV124: $i] :
      ( ( ( incident_o @ SV124 @ SV18 )
        = $false )
      | ( ( incident_c @ SV124 @ ( sK13_C @ SV18 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(661,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
                  | ~ ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) )
              | ~ ( ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
                  | ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) ) ) )
        = $true )
      | ( ( ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[615]) ).

thf(662,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ! [SY330: $i] :
                      ( ~ ( incident_c @ SY330 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
                      | ( incident_o @ SY330 @ SV112 ) )
                | ~ ! [SY331: $i] :
                      ( ~ ( incident_o @ SY331 @ SV112 )
                      | ( incident_c @ SY331 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) ) )
          | ~ ( between_c @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SV99 ) )
        = $false )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[616]) ).

thf(663,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
                | ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[617]) ).

thf(664,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ( ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
              | ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[617]) ).

thf(665,plain,
    ! [SV136: $i,SV125: $i,SV21: $i] :
      ( ( ( ~ ( meet @ SV21 @ SV125 @ SV136 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY348: $i] :
                    ( ~ ( incident_c @ SY348 @ SV125 )
                    | ~ ( incident_c @ SY348 @ SV136 )
                    | ( end_point @ SY348 @ SV125 ) )
              | ~ ! [SY349: $i] :
                    ( ~ ( incident_c @ SY349 @ SV125 )
                    | ~ ( incident_c @ SY349 @ SV136 )
                    | ( end_point @ SY349 @ SV136 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[618]) ).

thf(666,plain,
    ! [SV21: $i] :
      ( ( ! [SY201: $i] :
            ( ! [SY202: $i] :
                ~ ( meet @ SV21 @ SY201 @ SY202 )
            | ( incident_c @ SV21 @ SY201 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[619]) ).

thf(667,plain,
    ! [SV21: $i] :
      ( ( ! [SY203: $i,SY204: $i] :
            ( ~ ( meet @ SV21 @ SY203 @ SY204 )
            | ( incident_c @ SV21 @ SY204 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[620]) ).

thf(668,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                  | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 ) )
              | ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
                  | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[621]) ).

thf(669,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
          | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 )
          | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[622]) ).

thf(670,plain,
    ! [SV102: $i,SV83: $i,SV22: $i] :
      ( ( ( ~ ! [SY318: $i] :
                ( ~ ( incident_c @ SY318 @ SV22 )
                | ( incident_c @ SY318 @ SV83 )
                | ( incident_c @ SY318 @ SV102 ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[623]) ).

thf(671,plain,
    ! [SV102: $i,SV22: $i,SV83: $i] :
      ( ( ( ~ ~ ( ~ ! [SY306: $i] :
                      ( ~ ( incident_c @ SY306 @ SV83 )
                      | ( incident_c @ SY306 @ SV22 ) )
                | ~ ! [SY320: $i] :
                      ( ~ ( incident_c @ SY320 @ SV102 )
                      | ( incident_c @ SY320 @ SV22 ) ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[623]) ).

thf(672,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( ~ ( ~ ( ( SV62
                   != ( sK14_Q @ SV84 @ SV62 ) ) )
              | ~ ( incident_o @ ( sK14_Q @ SV84 @ SV62 ) @ SV84 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[624]) ).

thf(673,plain,
    ! [SV62: $i,SV84: $i] :
      ( ( ( ~ ( ordered_by @ SV84 @ ( sK14_Q @ SV84 @ SV62 ) @ SV62 ) )
        = $true )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[625]) ).

thf(674,plain,
    ! [SV126: $i,SV113: $i] :
      ( ( ( finish_point @ SV113 @ SV126 )
        = $false )
      | ( ( ! [SY343: $i] :
              ( ( SV113 = SY343 )
              | ~ ( incident_o @ SY343 @ SV126 )
              | ( ordered_by @ SV126 @ SY343 @ SV113 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[626]) ).

thf(675,plain,
    ! [SV127: $i,SV114: $i] :
      ( ( ( finish_point @ SV114 @ SV127 )
        = $false )
      | ( ( incident_o @ SV114 @ SV127 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[627]) ).

thf(676,plain,
    ! [SV128: $i,SV115: $i] :
      ( ( ( inner_point @ SV115 @ SV128 )
        = $false )
      | ( ( incident_c @ SV115 @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[628]) ).

thf(677,plain,
    ! [SV129: $i,SV116: $i] :
      ( ( ( inner_point @ SV116 @ SV129 )
        = $false )
      | ( ( ~ ( end_point @ SV116 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[629]) ).

thf(678,plain,
    ! [SV66: $i,SV89: $i] :
      ( ( ( incident_c @ ( sK29_P @ SV89 @ SV66 ) @ SV66 )
        = $false )
      | ( ( part_of @ SV89 @ SV66 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[631]) ).

thf(679,plain,
    ! [SV67: $i,SV90: $i,SV130: $i] :
      ( ( ( incident_c @ SV130 @ SV90 )
        = $false )
      | ( ( incident_c @ SV130 @ SV67 )
        = $true )
      | ( ( part_of @ SV90 @ SV67 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[632]) ).

thf(680,plain,
    ! [SV25: $i,SV44: $i,SV39: $i] :
      ( ( ( incident_c @ SV39 @ SV44 )
        = $false )
      | ( ( open @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ! [SY271: $i] :
                          ( ~ ( incident_c @ SY271 @ SV44 )
                          | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
                    | ~ ! [SY272: $i] :
                          ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                          | ( incident_c @ SY272 @ SV44 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[633]) ).

thf(681,plain,
    ! [SV40: $i,SV27: $i,SV2: $i,SV45: $i] :
      ( ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( ! [SY273: $i] :
              ( ~ ( end_point @ SY273 @ SV27 )
              | ~ ( end_point @ SY273 @ SV40 )
              | ~ ( end_point @ SY273 @ SV45 ) ) )
        = $true )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[634]) ).

thf(682,plain,
    ! [SV4: $i,SV28: $i,SV46: $i,SV41: $i] :
      ( ( ( SV41 = SV46 )
        = $true )
      | ( ( ( SV28 = SV41 )
          | ( SV28 = SV46 ) )
        = $true )
      | ( ( end_point @ SV41 @ SV4 )
        = $false )
      | ( ( end_point @ SV28 @ SV4 )
        = $false )
      | ( ( end_point @ SV46 @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[635]) ).

thf(683,plain,
    ! [SV5: $i,SV118: $i,SV42: $i,SV29: $i,SV142: $i] :
      ( ( ( ~ ( end_point @ SV142 @ SV29 )
          | ( meet @ SV142 @ SV29 @ SV42 ) )
        = $true )
      | ( ( meet @ SV118 @ SV29 @ SV42 )
        = $false )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( SV5
          = ( sum @ SV29 @ SV42 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[636]) ).

thf(684,plain,
    ! [SV31: $i,SV48: $i,SV91: $i,SV43: $i,SV10: $i,SV68: $i] :
      ( ( ( ~ ( ordered_by @ ( trajectory_of @ SV68 ) @ SV10 @ SV43 ) )
        = $true )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV91 ) @ SV48 @ SV31 ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ ( at @ SV68 @ SV10 ) @ ( at @ SV91 @ SV31 ) ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV68 @ SV43 ) @ ( at @ SV91 @ SV48 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[637]) ).

thf(685,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
        = $false )
      | ( ( ~ ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 ) )
        = $true )
      | ( ( SV52
          = ( underlying_curve @ SV71 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[638]) ).

thf(686,plain,
    ! [SV72: $i,SV53: $i,SV143: $i] :
      ( ( ( ~ ( incident_c @ SV143 @ SV53 )
          | ( incident_o @ SV143 @ SV72 ) )
        = $true )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[640]) ).

thf(687,plain,
    ! [SV53: $i,SV72: $i,SV144: $i] :
      ( ( ( ~ ( incident_o @ SV144 @ SV72 )
          | ( incident_c @ SV144 @ SV53 ) )
        = $true )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[641]) ).

thf(688,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( ~ ( ( SV54
               != ( sK15_Q @ SV73 @ SV54 ) ) )
          | ~ ( incident_o @ ( sK15_Q @ SV73 @ SV54 ) @ SV73 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[642]) ).

thf(689,plain,
    ! [SV54: $i,SV73: $i] :
      ( ( ( ordered_by @ SV73 @ SV54 @ ( sK15_Q @ SV73 @ SV54 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(690,plain,
    ! [SV119: $i,SV145: $i,SV105: $i] :
      ( ( ( ( SV105 = SV145 )
          | ~ ( incident_o @ SV145 @ SV119 )
          | ( ordered_by @ SV119 @ SV105 @ SV145 ) )
        = $true )
      | ( ( start_point @ SV105 @ SV119 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[644]) ).

thf(691,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                      | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
                | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) )
          | ~ ( incident_c @ SV55 @ ( sK27_SY132 @ SV74 @ SV55 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[646]) ).

thf(692,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) )
          | ~ ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[647]) ).

thf(693,plain,
    ! [SV107: $i,SV121: $i,SV146: $i] :
      ( ( ( ! [SY350: $i] :
              ( ~ ( part_of @ SV146 @ SV121 )
              | ~ ( part_of @ SY350 @ SV121 )
              | ~ ( incident_c @ SV107 @ SV146 )
              | ~ ( incident_c @ SV107 @ SY350 )
              | ( part_of @ SV146 @ SY350 )
              | ( part_of @ SY350 @ SV146 ) ) )
        = $true )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[648]) ).

thf(694,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ! [SY234: $i,SY235: $i] :
            ( ~ ( between_o @ SV12 @ SV32 @ SY234 @ SY235 )
            | ( ordered_by @ SV12 @ SV32 @ SY234 )
            | ( ordered_by @ SV12 @ SY235 @ SY234 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[650]) ).

thf(695,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ! [SY236: $i] :
            ( ! [SY237: $i] :
                ~ ( between_o @ SV12 @ SV32 @ SY236 @ SY237 )
            | ( ordered_by @ SV12 @ SV32 @ SY236 )
            | ( ordered_by @ SV12 @ SY236 @ SV32 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[651]) ).

thf(696,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ! [SY238: $i,SY239: $i] :
            ( ~ ( between_o @ SV12 @ SV32 @ SY238 @ SY239 )
            | ( ordered_by @ SV12 @ SY238 @ SY239 )
            | ( ordered_by @ SV12 @ SY239 @ SY238 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[652]) ).

thf(697,plain,
    ! [SV32: $i,SV12: $i] :
      ( ( ! [SY240: $i,SY241: $i] :
            ( ~ ( between_o @ SV12 @ SV32 @ SY240 @ SY241 )
            | ( ordered_by @ SV12 @ SY240 @ SY241 )
            | ( ordered_by @ SV12 @ SY240 @ SV32 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[653]) ).

thf(698,plain,
    ! [SV137: $i,SV131: $i,SV32: $i,SV12: $i] :
      ( ( ( ~ ( ordered_by @ SV12 @ SV32 @ SV131 )
          | ~ ( ordered_by @ SV12 @ SV131 @ SV137 ) )
        = $true )
      | ( ( between_o @ SV12 @ SV32 @ SV131 @ SV137 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[654]) ).

thf(699,plain,
    ! [SV32: $i,SV132: $i,SV138: $i,SV12: $i] :
      ( ( ( ~ ( ordered_by @ SV12 @ SV138 @ SV132 )
          | ~ ( ordered_by @ SV12 @ SV132 @ SV32 ) )
        = $true )
      | ( ( between_o @ SV12 @ SV32 @ SV132 @ SV138 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[655]) ).

thf(700,plain,
    ! [SV95: $i,SV110: $i,SV17: $i,SV139: $i,SV36: $i] :
      ( ( ( ~ ( end_point @ SV36 @ SV139 )
          | ~ ( part_of @ SV139 @ SV17 )
          | ~ ( end_point @ SV110 @ SV139 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV95 @ SV139 ) )
        = $true )
      | ( ( SV36 = SV110 )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV95 @ SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[656]) ).

thf(701,plain,
    ! [SV140: $i,SV133: $i,SV36: $i,SV17: $i] :
      ( ( ( ~ ( between_c @ SV17 @ SV36 @ SV133 @ SV140 ) )
        = $true )
      | ( ( ( SV36 != SV140 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[657]) ).

thf(702,plain,
    ! [SV141: $i,SV134: $i,SV36: $i,SV17: $i] :
      ( ( ( ~ ( between_c @ SV17 @ SV36 @ SV134 @ SV141 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
                          | ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) )
                    | ~ ( end_point @ SV141 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) )
              | ~ ( inner_point @ SV134 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[658]) ).

thf(703,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
              | ~ ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) )
          | ~ ( ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
              | ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) ) )
        = $false )
      | ( ( ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[661]) ).

thf(704,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ! [SY330: $i] :
                      ( ~ ( incident_c @ SY330 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
                      | ( incident_o @ SY330 @ SV112 ) )
                | ~ ! [SY331: $i] :
                      ( ~ ( incident_o @ SY331 @ SV112 )
                      | ( incident_c @ SY331 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) ) ) )
        = $false )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[662]) ).

thf(705,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i] :
      ( ( ( ~ ( between_c @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SV99 ) )
        = $false )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[662]) ).

thf(706,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
              | ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[663]) ).

thf(707,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
          | ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[664]) ).

thf(708,plain,
    ! [SV136: $i,SV125: $i,SV21: $i] :
      ( ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false )
      | ( ( ~ ( ~ ! [SY348: $i] :
                    ( ~ ( incident_c @ SY348 @ SV125 )
                    | ~ ( incident_c @ SY348 @ SV136 )
                    | ( end_point @ SY348 @ SV125 ) )
              | ~ ! [SY349: $i] :
                    ( ~ ( incident_c @ SY349 @ SV125 )
                    | ~ ( incident_c @ SY349 @ SV136 )
                    | ( end_point @ SY349 @ SV136 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[665]) ).

thf(709,plain,
    ! [SV147: $i,SV21: $i] :
      ( ( ! [SY351: $i] :
            ~ ( meet @ SV21 @ SV147 @ SY351 )
        | ( incident_c @ SV21 @ SV147 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[666]) ).

thf(710,plain,
    ! [SV148: $i,SV21: $i] :
      ( ( ! [SY352: $i] :
            ( ~ ( meet @ SV21 @ SV148 @ SY352 )
            | ( incident_c @ SV21 @ SY352 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[667]) ).

thf(711,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
              | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 ) )
          | ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
              | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[668]) ).

thf(712,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
        = $true )
      | ( ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 )
          | ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[669]) ).

thf(713,plain,
    ! [SV102: $i,SV83: $i,SV22: $i] :
      ( ( ( ! [SY318: $i] :
              ( ~ ( incident_c @ SY318 @ SV22 )
              | ( incident_c @ SY318 @ SV83 )
              | ( incident_c @ SY318 @ SV102 ) ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[670]) ).

thf(714,plain,
    ! [SV102: $i,SV22: $i,SV83: $i] :
      ( ( ( ~ ( ~ ! [SY306: $i] :
                    ( ~ ( incident_c @ SY306 @ SV83 )
                    | ( incident_c @ SY306 @ SV22 ) )
              | ~ ! [SY320: $i] :
                    ( ~ ( incident_c @ SY320 @ SV102 )
                    | ( incident_c @ SY320 @ SV22 ) ) ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[671]) ).

thf(715,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( ~ ( ( SV62
               != ( sK14_Q @ SV84 @ SV62 ) ) )
          | ~ ( incident_o @ ( sK14_Q @ SV84 @ SV62 ) @ SV84 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[672]) ).

thf(716,plain,
    ! [SV62: $i,SV84: $i] :
      ( ( ( ordered_by @ SV84 @ ( sK14_Q @ SV84 @ SV62 ) @ SV62 )
        = $false )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(717,plain,
    ! [SV126: $i,SV149: $i,SV113: $i] :
      ( ( ( ( SV113 = SV149 )
          | ~ ( incident_o @ SV149 @ SV126 )
          | ( ordered_by @ SV126 @ SV149 @ SV113 ) )
        = $true )
      | ( ( finish_point @ SV113 @ SV126 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[674]) ).

thf(718,plain,
    ! [SV129: $i,SV116: $i] :
      ( ( ( end_point @ SV116 @ SV129 )
        = $false )
      | ( ( inner_point @ SV116 @ SV129 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[677]) ).

thf(719,plain,
    ! [SV25: $i,SV39: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ! [SY271: $i] :
                      ( ~ ( incident_c @ SY271 @ SV44 )
                      | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
                | ~ ! [SY272: $i] :
                      ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                      | ( incident_c @ SY272 @ SV44 ) ) )
          | ~ ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 ) )
        = $false )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[680]) ).

thf(720,plain,
    ! [SV2: $i,SV45: $i,SV40: $i,SV27: $i,SV150: $i] :
      ( ( ( ~ ( end_point @ SV150 @ SV27 )
          | ~ ( end_point @ SV150 @ SV40 )
          | ~ ( end_point @ SV150 @ SV45 ) )
        = $true )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[681]) ).

thf(721,plain,
    ! [SV4: $i,SV46: $i,SV41: $i,SV28: $i] :
      ( ( ( SV28 = SV41 )
        = $true )
      | ( ( SV28 = SV46 )
        = $true )
      | ( ( SV41 = SV46 )
        = $true )
      | ( ( end_point @ SV41 @ SV4 )
        = $false )
      | ( ( end_point @ SV28 @ SV4 )
        = $false )
      | ( ( end_point @ SV46 @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[682]) ).

thf(722,plain,
    ! [SV5: $i,SV118: $i,SV42: $i,SV29: $i,SV142: $i] :
      ( ( ( ~ ( end_point @ SV142 @ SV29 ) )
        = $true )
      | ( ( meet @ SV142 @ SV29 @ SV42 )
        = $true )
      | ( ( meet @ SV118 @ SV29 @ SV42 )
        = $false )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( SV5
          = ( sum @ SV29 @ SV42 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[683]) ).

thf(723,plain,
    ! [SV31: $i,SV48: $i,SV91: $i,SV43: $i,SV10: $i,SV68: $i] :
      ( ( ( ordered_by @ ( trajectory_of @ SV68 ) @ SV10 @ SV43 )
        = $false )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV91 ) @ SV48 @ SV31 ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ ( at @ SV68 @ SV10 ) @ ( at @ SV91 @ SV31 ) ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV68 @ SV43 ) @ ( at @ SV91 @ SV48 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[684]) ).

thf(724,plain,
    ! [SV52: $i,SV71: $i] :
      ( ( ( incident_o @ ( sK6_P @ SV71 @ SV52 ) @ SV71 )
        = $false )
      | ( ( incident_c @ ( sK6_P @ SV71 @ SV52 ) @ SV52 )
        = $false )
      | ( ( SV52
          = ( underlying_curve @ SV71 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[685]) ).

thf(725,plain,
    ! [SV72: $i,SV53: $i,SV143: $i] :
      ( ( ( ~ ( incident_c @ SV143 @ SV53 ) )
        = $true )
      | ( ( incident_o @ SV143 @ SV72 )
        = $true )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[686]) ).

thf(726,plain,
    ! [SV53: $i,SV72: $i,SV144: $i] :
      ( ( ( ~ ( incident_o @ SV144 @ SV72 ) )
        = $true )
      | ( ( incident_c @ SV144 @ SV53 )
        = $true )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[687]) ).

thf(727,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( ~ ( ( SV54
               != ( sK15_Q @ SV73 @ SV54 ) ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(728,plain,
    ! [SV54: $i,SV73: $i] :
      ( ( ( ~ ( incident_o @ ( sK15_Q @ SV73 @ SV54 ) @ SV73 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(729,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( incident_o @ SV54 @ SV73 )
        = $false )
      | ( ( ordered_by @ SV73 @ SV54 @ ( sK15_Q @ SV73 @ SV54 ) )
        = $false )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[689]) ).

thf(730,plain,
    ! [SV119: $i,SV145: $i,SV105: $i] :
      ( ( ( ( SV105 = SV145 )
          | ~ ( incident_o @ SV145 @ SV119 ) )
        = $true )
      | ( ( ordered_by @ SV119 @ SV105 @ SV145 )
        = $true )
      | ( ( start_point @ SV105 @ SV119 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[690]) ).

thf(731,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                      | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
                | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[691]) ).

thf(732,plain,
    ! [SV74: $i,SV55: $i] :
      ( ( ( ~ ( incident_c @ SV55 @ ( sK27_SY132 @ SV74 @ SV55 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[691]) ).

thf(733,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[692]) ).

thf(734,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[692]) ).

thf(735,plain,
    ! [SV107: $i,SV151: $i,SV121: $i,SV146: $i] :
      ( ( ( ~ ( part_of @ SV146 @ SV121 )
          | ~ ( part_of @ SV151 @ SV121 )
          | ~ ( incident_c @ SV107 @ SV146 )
          | ~ ( incident_c @ SV107 @ SV151 )
          | ( part_of @ SV146 @ SV151 )
          | ( part_of @ SV151 @ SV146 ) )
        = $true )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[693]) ).

thf(736,plain,
    ! [SV152: $i,SV32: $i,SV12: $i] :
      ( ( ! [SY353: $i] :
            ( ~ ( between_o @ SV12 @ SV32 @ SV152 @ SY353 )
            | ( ordered_by @ SV12 @ SV32 @ SV152 )
            | ( ordered_by @ SV12 @ SY353 @ SV152 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[694]) ).

thf(737,plain,
    ! [SV153: $i,SV32: $i,SV12: $i] :
      ( ( ! [SY354: $i] :
            ~ ( between_o @ SV12 @ SV32 @ SV153 @ SY354 )
        | ( ordered_by @ SV12 @ SV32 @ SV153 )
        | ( ordered_by @ SV12 @ SV153 @ SV32 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[695]) ).

thf(738,plain,
    ! [SV154: $i,SV32: $i,SV12: $i] :
      ( ( ! [SY355: $i] :
            ( ~ ( between_o @ SV12 @ SV32 @ SV154 @ SY355 )
            | ( ordered_by @ SV12 @ SV154 @ SY355 )
            | ( ordered_by @ SV12 @ SY355 @ SV154 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[696]) ).

thf(739,plain,
    ! [SV155: $i,SV32: $i,SV12: $i] :
      ( ( ! [SY356: $i] :
            ( ~ ( between_o @ SV12 @ SV32 @ SV155 @ SY356 )
            | ( ordered_by @ SV12 @ SV155 @ SY356 )
            | ( ordered_by @ SV12 @ SV155 @ SV32 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[697]) ).

thf(740,plain,
    ! [SV137: $i,SV131: $i,SV32: $i,SV12: $i] :
      ( ( ( ~ ( ordered_by @ SV12 @ SV32 @ SV131 ) )
        = $true )
      | ( ( ~ ( ordered_by @ SV12 @ SV131 @ SV137 ) )
        = $true )
      | ( ( between_o @ SV12 @ SV32 @ SV131 @ SV137 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[698]) ).

thf(741,plain,
    ! [SV32: $i,SV132: $i,SV138: $i,SV12: $i] :
      ( ( ( ~ ( ordered_by @ SV12 @ SV138 @ SV132 ) )
        = $true )
      | ( ( ~ ( ordered_by @ SV12 @ SV132 @ SV32 ) )
        = $true )
      | ( ( between_o @ SV12 @ SV32 @ SV132 @ SV138 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[699]) ).

thf(742,plain,
    ! [SV95: $i,SV110: $i,SV17: $i,SV139: $i,SV36: $i] :
      ( ( ( ~ ( end_point @ SV36 @ SV139 )
          | ~ ( part_of @ SV139 @ SV17 ) )
        = $true )
      | ( ( ~ ( end_point @ SV110 @ SV139 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV95 @ SV139 ) )
        = $true )
      | ( ( SV36 = SV110 )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV95 @ SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[700]) ).

thf(743,plain,
    ! [SV140: $i,SV133: $i,SV36: $i,SV17: $i] :
      ( ( ( between_c @ SV17 @ SV36 @ SV133 @ SV140 )
        = $false )
      | ( ( ( SV36 != SV140 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[701]) ).

thf(744,plain,
    ! [SV141: $i,SV134: $i,SV36: $i,SV17: $i] :
      ( ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
                          | ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) )
                    | ~ ( end_point @ SV141 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) )
              | ~ ( inner_point @ SV134 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[702]) ).

thf(745,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
              | ~ ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) ) )
        = $false )
      | ( ( ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[703]) ).

thf(746,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
              | ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) ) )
        = $false )
      | ( ( ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[703]) ).

thf(747,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i] :
      ( ( ( ~ ( ~ ! [SY330: $i] :
                    ( ~ ( incident_c @ SY330 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
                    | ( incident_o @ SY330 @ SV112 ) )
              | ~ ! [SY331: $i] :
                    ( ~ ( incident_o @ SY331 @ SV112 )
                    | ( incident_c @ SY331 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) ) ) )
        = $true )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[704]) ).

thf(748,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i] :
      ( ( ( between_c @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) @ SV20 @ SV37 @ SV99 )
        = $true )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[705]) ).

thf(749,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
          | ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[706]) ).

thf(750,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 ) )
        = $true )
      | ( ( ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[707]) ).

thf(751,plain,
    ! [SV21: $i,SV136: $i,SV125: $i] :
      ( ( ( ~ ! [SY348: $i] :
                ( ~ ( incident_c @ SY348 @ SV125 )
                | ~ ( incident_c @ SY348 @ SV136 )
                | ( end_point @ SY348 @ SV125 ) )
          | ~ ! [SY349: $i] :
                ( ~ ( incident_c @ SY349 @ SV125 )
                | ~ ( incident_c @ SY349 @ SV136 )
                | ( end_point @ SY349 @ SV136 ) ) )
        = $false )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(752,plain,
    ! [SV147: $i,SV21: $i] :
      ( ( ( ! [SY351: $i] :
              ~ ( meet @ SV21 @ SV147 @ SY351 ) )
        = $true )
      | ( ( incident_c @ SV21 @ SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[709]) ).

thf(753,plain,
    ! [SV156: $i,SV148: $i,SV21: $i] :
      ( ( ~ ( meet @ SV21 @ SV148 @ SV156 )
        | ( incident_c @ SV21 @ SV156 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[710]) ).

thf(754,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
              | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[711]) ).

thf(755,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
              | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[711]) ).

thf(756,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 )
        = $true )
      | ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 )
        = $true )
      | ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[712]) ).

thf(757,plain,
    ! [SV102: $i,SV83: $i,SV22: $i,SV157: $i] :
      ( ( ( ~ ( incident_c @ SV157 @ SV22 )
          | ( incident_c @ SV157 @ SV83 )
          | ( incident_c @ SV157 @ SV102 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[713]) ).

thf(758,plain,
    ! [SV102: $i,SV22: $i,SV83: $i] :
      ( ( ( ~ ! [SY306: $i] :
                ( ~ ( incident_c @ SY306 @ SV83 )
                | ( incident_c @ SY306 @ SV22 ) )
          | ~ ! [SY320: $i] :
                ( ~ ( incident_c @ SY320 @ SV102 )
                | ( incident_c @ SY320 @ SV22 ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[714]) ).

thf(759,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( ~ ( ( SV62
               != ( sK14_Q @ SV84 @ SV62 ) ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[715]) ).

thf(760,plain,
    ! [SV62: $i,SV84: $i] :
      ( ( ( ~ ( incident_o @ ( sK14_Q @ SV84 @ SV62 ) @ SV84 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[715]) ).

thf(761,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( incident_o @ SV62 @ SV84 )
        = $false )
      | ( ( ordered_by @ SV84 @ ( sK14_Q @ SV84 @ SV62 ) @ SV62 )
        = $false )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(762,plain,
    ! [SV126: $i,SV149: $i,SV113: $i] :
      ( ( ( ( SV113 = SV149 )
          | ~ ( incident_o @ SV149 @ SV126 ) )
        = $true )
      | ( ( ordered_by @ SV126 @ SV149 @ SV113 )
        = $true )
      | ( ( finish_point @ SV113 @ SV126 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[717]) ).

thf(763,plain,
    ! [SV25: $i,SV39: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ! [SY271: $i] :
                      ( ~ ( incident_c @ SY271 @ SV44 )
                      | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
                | ~ ! [SY272: $i] :
                      ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                      | ( incident_c @ SY272 @ SV44 ) ) ) )
        = $false )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[719]) ).

thf(764,plain,
    ! [SV25: $i,SV39: $i,SV44: $i] :
      ( ( ( ~ ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 ) )
        = $false )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[719]) ).

thf(765,plain,
    ! [SV2: $i,SV45: $i,SV40: $i,SV27: $i,SV150: $i] :
      ( ( ( ~ ( end_point @ SV150 @ SV27 )
          | ~ ( end_point @ SV150 @ SV40 ) )
        = $true )
      | ( ( ~ ( end_point @ SV150 @ SV45 ) )
        = $true )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[720]) ).

thf(766,plain,
    ! [SV5: $i,SV118: $i,SV42: $i,SV29: $i,SV142: $i] :
      ( ( ( end_point @ SV142 @ SV29 )
        = $false )
      | ( ( meet @ SV142 @ SV29 @ SV42 )
        = $true )
      | ( ( meet @ SV118 @ SV29 @ SV42 )
        = $false )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( SV5
          = ( sum @ SV29 @ SV42 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[722]) ).

thf(767,plain,
    ! [SV43: $i,SV10: $i,SV68: $i,SV31: $i,SV48: $i,SV91: $i] :
      ( ( ( ordered_by @ ( trajectory_of @ SV91 ) @ SV48 @ SV31 )
        = $false )
      | ( ( ordered_by @ ( trajectory_of @ SV68 ) @ SV10 @ SV43 )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV68 @ SV10 ) @ ( at @ SV91 @ SV31 ) ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV68 @ SV43 ) @ ( at @ SV91 @ SV48 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[723]) ).

thf(768,plain,
    ! [SV72: $i,SV53: $i,SV143: $i] :
      ( ( ( incident_c @ SV143 @ SV53 )
        = $false )
      | ( ( incident_o @ SV143 @ SV72 )
        = $true )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[725]) ).

thf(769,plain,
    ! [SV53: $i,SV72: $i,SV144: $i] :
      ( ( ( incident_o @ SV144 @ SV72 )
        = $false )
      | ( ( incident_c @ SV144 @ SV53 )
        = $true )
      | ( ( SV53
          = ( underlying_curve @ SV72 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[726]) ).

thf(770,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( ( SV54
           != ( sK15_Q @ SV73 @ SV54 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[727]) ).

thf(771,plain,
    ! [SV54: $i,SV73: $i] :
      ( ( ( incident_o @ ( sK15_Q @ SV73 @ SV54 ) @ SV73 )
        = $true )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[728]) ).

thf(772,plain,
    ! [SV119: $i,SV145: $i,SV105: $i] :
      ( ( ( SV105 = SV145 )
        = $true )
      | ( ( ~ ( incident_o @ SV145 @ SV119 ) )
        = $true )
      | ( ( ordered_by @ SV119 @ SV105 @ SV145 )
        = $true )
      | ( ( start_point @ SV105 @ SV119 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[730]) ).

thf(773,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                    | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
              | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(774,plain,
    ! [SV74: $i,SV55: $i] :
      ( ( ( incident_c @ SV55 @ ( sK27_SY132 @ SV74 @ SV55 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[732]) ).

thf(775,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[733]) ).

thf(776,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[734]) ).

thf(777,plain,
    ! [SV107: $i,SV151: $i,SV121: $i,SV146: $i] :
      ( ( ( ~ ( part_of @ SV146 @ SV121 )
          | ~ ( part_of @ SV151 @ SV121 )
          | ~ ( incident_c @ SV107 @ SV146 )
          | ~ ( incident_c @ SV107 @ SV151 ) )
        = $true )
      | ( ( ( part_of @ SV146 @ SV151 )
          | ( part_of @ SV151 @ SV146 ) )
        = $true )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[735]) ).

thf(778,plain,
    ! [SV158: $i,SV152: $i,SV32: $i,SV12: $i] :
      ( ( ~ ( between_o @ SV12 @ SV32 @ SV152 @ SV158 )
        | ( ordered_by @ SV12 @ SV32 @ SV152 )
        | ( ordered_by @ SV12 @ SV158 @ SV152 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[736]) ).

thf(779,plain,
    ! [SV153: $i,SV32: $i,SV12: $i] :
      ( ( ( ! [SY354: $i] :
              ~ ( between_o @ SV12 @ SV32 @ SV153 @ SY354 ) )
        = $true )
      | ( ( ( ordered_by @ SV12 @ SV32 @ SV153 )
          | ( ordered_by @ SV12 @ SV153 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[737]) ).

thf(780,plain,
    ! [SV159: $i,SV154: $i,SV32: $i,SV12: $i] :
      ( ( ~ ( between_o @ SV12 @ SV32 @ SV154 @ SV159 )
        | ( ordered_by @ SV12 @ SV154 @ SV159 )
        | ( ordered_by @ SV12 @ SV159 @ SV154 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[738]) ).

thf(781,plain,
    ! [SV160: $i,SV155: $i,SV32: $i,SV12: $i] :
      ( ( ~ ( between_o @ SV12 @ SV32 @ SV155 @ SV160 )
        | ( ordered_by @ SV12 @ SV155 @ SV160 )
        | ( ordered_by @ SV12 @ SV155 @ SV32 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[739]) ).

thf(782,plain,
    ! [SV137: $i,SV131: $i,SV32: $i,SV12: $i] :
      ( ( ( ordered_by @ SV12 @ SV32 @ SV131 )
        = $false )
      | ( ( ~ ( ordered_by @ SV12 @ SV131 @ SV137 ) )
        = $true )
      | ( ( between_o @ SV12 @ SV32 @ SV131 @ SV137 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[740]) ).

thf(783,plain,
    ! [SV32: $i,SV132: $i,SV138: $i,SV12: $i] :
      ( ( ( ordered_by @ SV12 @ SV138 @ SV132 )
        = $false )
      | ( ( ~ ( ordered_by @ SV12 @ SV132 @ SV32 ) )
        = $true )
      | ( ( between_o @ SV12 @ SV32 @ SV132 @ SV138 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[741]) ).

thf(784,plain,
    ! [SV95: $i,SV110: $i,SV17: $i,SV139: $i,SV36: $i] :
      ( ( ( ~ ( end_point @ SV36 @ SV139 ) )
        = $true )
      | ( ( ~ ( part_of @ SV139 @ SV17 ) )
        = $true )
      | ( ( ~ ( end_point @ SV110 @ SV139 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV95 @ SV139 ) )
        = $true )
      | ( ( SV36 = SV110 )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV95 @ SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[742]) ).

thf(785,plain,
    ! [SV133: $i,SV17: $i,SV140: $i,SV36: $i] :
      ( ( ( SV36 = SV140 )
        = $false )
      | ( ( between_c @ SV17 @ SV36 @ SV133 @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(786,plain,
    ! [SV17: $i,SV134: $i,SV141: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
                      | ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) )
                | ~ ( end_point @ SV141 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) )
          | ~ ( inner_point @ SV134 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) )
        = $false )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[744]) ).

thf(787,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( ~ ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
          | ~ ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) )
        = $true )
      | ( ( ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[745]) ).

thf(788,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
          | ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) )
        = $true )
      | ( ( ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[746]) ).

thf(789,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i] :
      ( ( ( ~ ! [SY330: $i] :
                ( ~ ( incident_c @ SY330 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
                | ( incident_o @ SY330 @ SV112 ) )
          | ~ ! [SY331: $i] :
                ( ~ ( incident_o @ SY331 @ SV112 )
                | ( incident_c @ SY331 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) ) )
        = $false )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[747]) ).

thf(790,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[749]) ).

thf(791,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( ~ ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[749]) ).

thf(792,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
        = $false )
      | ( ( ~ ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[750]) ).

thf(793,plain,
    ! [SV21: $i,SV136: $i,SV125: $i] :
      ( ( ( ~ ! [SY348: $i] :
                ( ~ ( incident_c @ SY348 @ SV125 )
                | ~ ( incident_c @ SY348 @ SV136 )
                | ( end_point @ SY348 @ SV125 ) ) )
        = $false )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[751]) ).

thf(794,plain,
    ! [SV21: $i,SV136: $i,SV125: $i] :
      ( ( ( ~ ! [SY349: $i] :
                ( ~ ( incident_c @ SY349 @ SV125 )
                | ~ ( incident_c @ SY349 @ SV136 )
                | ( end_point @ SY349 @ SV136 ) ) )
        = $false )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[751]) ).

thf(795,plain,
    ! [SV161: $i,SV147: $i,SV21: $i] :
      ( ( ( ~ ( meet @ SV21 @ SV147 @ SV161 ) )
        = $true )
      | ( ( incident_c @ SV21 @ SV147 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[752]) ).

thf(796,plain,
    ! [SV156: $i,SV148: $i,SV21: $i] :
      ( ( ( ~ ( meet @ SV21 @ SV148 @ SV156 ) )
        = $true )
      | ( ( incident_c @ SV21 @ SV156 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[753]) ).

thf(797,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
          | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[754]) ).

thf(798,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
          | ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[755]) ).

thf(799,plain,
    ! [SV102: $i,SV83: $i,SV22: $i,SV157: $i] :
      ( ( ( ~ ( incident_c @ SV157 @ SV22 ) )
        = $true )
      | ( ( ( incident_c @ SV157 @ SV83 )
          | ( incident_c @ SV157 @ SV102 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[757]) ).

thf(800,plain,
    ! [SV102: $i,SV22: $i,SV83: $i] :
      ( ( ( ~ ! [SY306: $i] :
                ( ~ ( incident_c @ SY306 @ SV83 )
                | ( incident_c @ SY306 @ SV22 ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[758]) ).

thf(801,plain,
    ! [SV83: $i,SV22: $i,SV102: $i] :
      ( ( ( ~ ! [SY320: $i] :
                ( ~ ( incident_c @ SY320 @ SV102 )
                | ( incident_c @ SY320 @ SV22 ) ) )
        = $false )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[758]) ).

thf(802,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( ( SV62
           != ( sK14_Q @ SV84 @ SV62 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[759]) ).

thf(803,plain,
    ! [SV62: $i,SV84: $i] :
      ( ( ( incident_o @ ( sK14_Q @ SV84 @ SV62 ) @ SV84 )
        = $true )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[760]) ).

thf(804,plain,
    ! [SV126: $i,SV149: $i,SV113: $i] :
      ( ( ( SV113 = SV149 )
        = $true )
      | ( ( ~ ( incident_o @ SV149 @ SV126 ) )
        = $true )
      | ( ( ordered_by @ SV126 @ SV149 @ SV113 )
        = $true )
      | ( ( finish_point @ SV113 @ SV126 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[762]) ).

thf(805,plain,
    ! [SV25: $i,SV39: $i,SV44: $i] :
      ( ( ( ~ ( ~ ! [SY271: $i] :
                    ( ~ ( incident_c @ SY271 @ SV44 )
                    | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
              | ~ ! [SY272: $i] :
                    ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                    | ( incident_c @ SY272 @ SV44 ) ) ) )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[763]) ).

thf(806,plain,
    ! [SV25: $i,SV39: $i,SV44: $i] :
      ( ( ( ordered_by @ ( sK9_O @ SV44 @ SV39 @ SV25 ) @ SV25 @ SV39 )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[764]) ).

thf(807,plain,
    ! [SV2: $i,SV45: $i,SV40: $i,SV27: $i,SV150: $i] :
      ( ( ( ~ ( end_point @ SV150 @ SV27 ) )
        = $true )
      | ( ( ~ ( end_point @ SV150 @ SV40 ) )
        = $true )
      | ( ( ~ ( end_point @ SV150 @ SV45 ) )
        = $true )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[765]) ).

thf(808,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( SV54
          = ( sK15_Q @ SV73 @ SV54 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV54 @ SV73 ) )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[770]) ).

thf(809,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( incident_o @ SV54 @ SV73 )
        = $false )
      | ( ( incident_o @ ( sK15_Q @ SV73 @ SV54 ) @ SV73 )
        = $true )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(810,plain,
    ! [SV105: $i,SV119: $i,SV145: $i] :
      ( ( ( incident_o @ SV145 @ SV119 )
        = $false )
      | ( ( SV105 = SV145 )
        = $true )
      | ( ( ordered_by @ SV119 @ SV105 @ SV145 )
        = $true )
      | ( ( start_point @ SV105 @ SV119 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[772]) ).

thf(811,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
          | ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[773]) ).

thf(812,plain,
    ! [SV74: $i,SV55: $i] :
      ( ( ( incident_c @ SV55 @ SV74 )
        = $false )
      | ( ( incident_c @ SV55 @ ( sK27_SY132 @ SV74 @ SV55 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(813,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(814,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[776]) ).

thf(815,plain,
    ! [SV107: $i,SV151: $i,SV121: $i,SV146: $i] :
      ( ( ( ~ ( part_of @ SV146 @ SV121 )
          | ~ ( part_of @ SV151 @ SV121 )
          | ~ ( incident_c @ SV107 @ SV146 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV107 @ SV151 ) )
        = $true )
      | ( ( ( part_of @ SV146 @ SV151 )
          | ( part_of @ SV151 @ SV146 ) )
        = $true )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[777]) ).

thf(816,plain,
    ! [SV158: $i,SV152: $i,SV32: $i,SV12: $i] :
      ( ( ( ~ ( between_o @ SV12 @ SV32 @ SV152 @ SV158 ) )
        = $true )
      | ( ( ( ordered_by @ SV12 @ SV32 @ SV152 )
          | ( ordered_by @ SV12 @ SV158 @ SV152 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[778]) ).

thf(817,plain,
    ! [SV162: $i,SV153: $i,SV32: $i,SV12: $i] :
      ( ( ( ~ ( between_o @ SV12 @ SV32 @ SV153 @ SV162 ) )
        = $true )
      | ( ( ( ordered_by @ SV12 @ SV32 @ SV153 )
          | ( ordered_by @ SV12 @ SV153 @ SV32 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[779]) ).

thf(818,plain,
    ! [SV159: $i,SV154: $i,SV32: $i,SV12: $i] :
      ( ( ( ~ ( between_o @ SV12 @ SV32 @ SV154 @ SV159 ) )
        = $true )
      | ( ( ( ordered_by @ SV12 @ SV154 @ SV159 )
          | ( ordered_by @ SV12 @ SV159 @ SV154 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[780]) ).

thf(819,plain,
    ! [SV160: $i,SV155: $i,SV32: $i,SV12: $i] :
      ( ( ( ~ ( between_o @ SV12 @ SV32 @ SV155 @ SV160 ) )
        = $true )
      | ( ( ( ordered_by @ SV12 @ SV155 @ SV160 )
          | ( ordered_by @ SV12 @ SV155 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[781]) ).

thf(820,plain,
    ! [SV32: $i,SV137: $i,SV131: $i,SV12: $i] :
      ( ( ( ordered_by @ SV12 @ SV131 @ SV137 )
        = $false )
      | ( ( ordered_by @ SV12 @ SV32 @ SV131 )
        = $false )
      | ( ( between_o @ SV12 @ SV32 @ SV131 @ SV137 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[782]) ).

thf(821,plain,
    ! [SV138: $i,SV32: $i,SV132: $i,SV12: $i] :
      ( ( ( ordered_by @ SV12 @ SV132 @ SV32 )
        = $false )
      | ( ( ordered_by @ SV12 @ SV138 @ SV132 )
        = $false )
      | ( ( between_o @ SV12 @ SV32 @ SV132 @ SV138 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[783]) ).

thf(822,plain,
    ! [SV95: $i,SV110: $i,SV17: $i,SV139: $i,SV36: $i] :
      ( ( ( end_point @ SV36 @ SV139 )
        = $false )
      | ( ( ~ ( part_of @ SV139 @ SV17 ) )
        = $true )
      | ( ( ~ ( end_point @ SV110 @ SV139 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV95 @ SV139 ) )
        = $true )
      | ( ( SV36 = SV110 )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV95 @ SV110 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[784]) ).

thf(823,plain,
    ! [SV17: $i,SV134: $i,SV141: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
                      | ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) )
                | ~ ( end_point @ SV141 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) ) )
        = $false )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[786]) ).

thf(824,plain,
    ! [SV17: $i,SV36: $i,SV141: $i,SV134: $i] :
      ( ( ( ~ ( inner_point @ SV134 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) )
        = $false )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[786]) ).

thf(825,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( ~ ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 ) )
        = $true )
      | ( ( ~ ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) )
        = $true )
      | ( ( ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[787]) ).

thf(826,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
        = $true )
      | ( ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 )
        = $true )
      | ( ( ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[788]) ).

thf(827,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i] :
      ( ( ( ~ ! [SY330: $i] :
                ( ~ ( incident_c @ SY330 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
                | ( incident_o @ SY330 @ SV112 ) ) )
        = $false )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[789]) ).

thf(828,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i] :
      ( ( ( ~ ! [SY331: $i] :
                ( ~ ( incident_o @ SY331 @ SV112 )
                | ( incident_c @ SY331 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) ) )
        = $false )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[789]) ).

thf(829,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
        = $true )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[790]) ).

thf(830,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 )
        = $true )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[791]) ).

thf(831,plain,
    ! [SV21: $i,SV81: $i,SV100: $i] :
      ( ( ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 )
        = $false )
      | ( ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
        = $false )
      | ( ( ~ ( incident_c @ SV21 @ SV81 )
          | ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[792]) ).

thf(832,plain,
    ! [SV21: $i,SV136: $i,SV125: $i] :
      ( ( ( ! [SY348: $i] :
              ( ~ ( incident_c @ SY348 @ SV125 )
              | ~ ( incident_c @ SY348 @ SV136 )
              | ( end_point @ SY348 @ SV125 ) ) )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[793]) ).

thf(833,plain,
    ! [SV21: $i,SV136: $i,SV125: $i] :
      ( ( ( ! [SY349: $i] :
              ( ~ ( incident_c @ SY349 @ SV125 )
              | ~ ( incident_c @ SY349 @ SV136 )
              | ( end_point @ SY349 @ SV136 ) ) )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[794]) ).

thf(834,plain,
    ! [SV161: $i,SV147: $i,SV21: $i] :
      ( ( ( meet @ SV21 @ SV147 @ SV161 )
        = $false )
      | ( ( incident_c @ SV21 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[795]) ).

thf(835,plain,
    ! [SV156: $i,SV148: $i,SV21: $i] :
      ( ( ( meet @ SV21 @ SV148 @ SV156 )
        = $false )
      | ( ( incident_c @ SV21 @ SV156 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[796]) ).

thf(836,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[797]) ).

thf(837,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[798]) ).

thf(838,plain,
    ! [SV102: $i,SV83: $i,SV22: $i,SV157: $i] :
      ( ( ( incident_c @ SV157 @ SV22 )
        = $false )
      | ( ( ( incident_c @ SV157 @ SV83 )
          | ( incident_c @ SV157 @ SV102 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[799]) ).

thf(839,plain,
    ! [SV102: $i,SV22: $i,SV83: $i] :
      ( ( ( ! [SY306: $i] :
              ( ~ ( incident_c @ SY306 @ SV83 )
              | ( incident_c @ SY306 @ SV22 ) ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[800]) ).

thf(840,plain,
    ! [SV83: $i,SV22: $i,SV102: $i] :
      ( ( ( ! [SY320: $i] :
              ( ~ ( incident_c @ SY320 @ SV102 )
              | ( incident_c @ SY320 @ SV22 ) ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[801]) ).

thf(841,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( SV62
          = ( sK14_Q @ SV84 @ SV62 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV62 @ SV84 ) )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[802]) ).

thf(842,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( incident_o @ SV62 @ SV84 )
        = $false )
      | ( ( incident_o @ ( sK14_Q @ SV84 @ SV62 ) @ SV84 )
        = $true )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[803]) ).

thf(843,plain,
    ! [SV113: $i,SV126: $i,SV149: $i] :
      ( ( ( incident_o @ SV149 @ SV126 )
        = $false )
      | ( ( SV113 = SV149 )
        = $true )
      | ( ( ordered_by @ SV126 @ SV149 @ SV113 )
        = $true )
      | ( ( finish_point @ SV113 @ SV126 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[804]) ).

thf(844,plain,
    ! [SV25: $i,SV39: $i,SV44: $i] :
      ( ( ( ~ ! [SY271: $i] :
                ( ~ ( incident_c @ SY271 @ SV44 )
                | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
          | ~ ! [SY272: $i] :
                ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                | ( incident_c @ SY272 @ SV44 ) ) )
        = $false )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[805]) ).

thf(845,plain,
    ! [SV2: $i,SV45: $i,SV40: $i,SV27: $i,SV150: $i] :
      ( ( ( end_point @ SV150 @ SV27 )
        = $false )
      | ( ( ~ ( end_point @ SV150 @ SV40 ) )
        = $true )
      | ( ( ~ ( end_point @ SV150 @ SV45 ) )
        = $true )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[807]) ).

thf(846,plain,
    ! [SV73: $i,SV54: $i] :
      ( ( ( incident_o @ SV54 @ SV73 )
        = $false )
      | ( ( SV54
          = ( sK15_Q @ SV73 @ SV54 ) )
        = $false )
      | ( ( start_point @ SV54 @ SV73 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[808]) ).

thf(847,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
                | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[811]) ).

thf(848,plain,
    ! [SV74: $i,SV55: $i] :
      ( ( ( ~ ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[811]) ).

thf(849,plain,
    ! [SV74: $i,SV55: $i] :
      ( ( ( incident_c @ SV55 @ SV74 )
        = $false )
      | ( ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ ( sK27_SY132 @ SV74 @ SV55 ) )
        = $false )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[813]) ).

thf(850,plain,
    ! [SV74: $i,SV55: $i] :
      ( ( ( incident_c @ SV55 @ SV74 )
        = $false )
      | ( ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ ( sK26_C1 @ SV74 @ SV55 ) )
        = $false )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[814]) ).

thf(851,plain,
    ! [SV107: $i,SV151: $i,SV121: $i,SV146: $i] :
      ( ( ( ~ ( part_of @ SV146 @ SV121 )
          | ~ ( part_of @ SV151 @ SV121 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV107 @ SV146 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV107 @ SV151 ) )
        = $true )
      | ( ( ( part_of @ SV146 @ SV151 )
          | ( part_of @ SV151 @ SV146 ) )
        = $true )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[815]) ).

thf(852,plain,
    ! [SV158: $i,SV152: $i,SV32: $i,SV12: $i] :
      ( ( ( between_o @ SV12 @ SV32 @ SV152 @ SV158 )
        = $false )
      | ( ( ( ordered_by @ SV12 @ SV32 @ SV152 )
          | ( ordered_by @ SV12 @ SV158 @ SV152 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[816]) ).

thf(853,plain,
    ! [SV162: $i,SV153: $i,SV32: $i,SV12: $i] :
      ( ( ( between_o @ SV12 @ SV32 @ SV153 @ SV162 )
        = $false )
      | ( ( ( ordered_by @ SV12 @ SV32 @ SV153 )
          | ( ordered_by @ SV12 @ SV153 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[817]) ).

thf(854,plain,
    ! [SV159: $i,SV154: $i,SV32: $i,SV12: $i] :
      ( ( ( between_o @ SV12 @ SV32 @ SV154 @ SV159 )
        = $false )
      | ( ( ( ordered_by @ SV12 @ SV154 @ SV159 )
          | ( ordered_by @ SV12 @ SV159 @ SV154 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[818]) ).

thf(855,plain,
    ! [SV160: $i,SV155: $i,SV32: $i,SV12: $i] :
      ( ( ( between_o @ SV12 @ SV32 @ SV155 @ SV160 )
        = $false )
      | ( ( ( ordered_by @ SV12 @ SV155 @ SV160 )
          | ( ordered_by @ SV12 @ SV155 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[819]) ).

thf(856,plain,
    ! [SV95: $i,SV110: $i,SV36: $i,SV17: $i,SV139: $i] :
      ( ( ( part_of @ SV139 @ SV17 )
        = $false )
      | ( ( end_point @ SV36 @ SV139 )
        = $false )
      | ( ( ~ ( end_point @ SV110 @ SV139 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV95 @ SV139 ) )
        = $true )
      | ( ( SV36 = SV110 )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV95 @ SV110 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[822]) ).

thf(857,plain,
    ! [SV17: $i,SV134: $i,SV141: $i,SV36: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
                    | ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) )
              | ~ ( end_point @ SV141 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) ) )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[823]) ).

thf(858,plain,
    ! [SV17: $i,SV36: $i,SV141: $i,SV134: $i] :
      ( ( ( inner_point @ SV134 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[824]) ).

thf(859,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
        = $false )
      | ( ( ~ ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 ) )
        = $true )
      | ( ( ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[825]) ).

thf(860,plain,
    ! [SV111: $i,SV98: $i,SV37: $i,SV20: $i,SV135: $i] :
      ( ( ( between_c @ SV135 @ SV20 @ SV37 @ SV98 )
        = $false )
      | ( ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 )
        = $true )
      | ( ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[826]) ).

thf(861,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i] :
      ( ( ( ! [SY330: $i] :
              ( ~ ( incident_c @ SY330 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
              | ( incident_o @ SY330 @ SV112 ) ) )
        = $true )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[827]) ).

thf(862,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i] :
      ( ( ( ! [SY331: $i] :
              ( ~ ( incident_o @ SY331 @ SV112 )
              | ( incident_c @ SY331 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) ) )
        = $true )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[828]) ).

thf(863,plain,
    ! [SV100: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ( incident_c @ SV21 @ SV81 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[829]) ).

thf(864,plain,
    ! [SV100: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ( incident_c @ SV21 @ SV81 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[830]) ).

thf(865,plain,
    ! [SV100: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ( incident_c @ SV21 @ SV81 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
        = $false )
      | ( ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 )
        = $false )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[831]) ).

thf(866,plain,
    ! [SV21: $i,SV136: $i,SV125: $i,SV163: $i] :
      ( ( ( ~ ( incident_c @ SV163 @ SV125 )
          | ~ ( incident_c @ SV163 @ SV136 )
          | ( end_point @ SV163 @ SV125 ) )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[832]) ).

thf(867,plain,
    ! [SV21: $i,SV136: $i,SV125: $i,SV164: $i] :
      ( ( ( ~ ( incident_c @ SV164 @ SV125 )
          | ~ ( incident_c @ SV164 @ SV136 )
          | ( end_point @ SV164 @ SV136 ) )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[833]) ).

thf(868,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[836]) ).

thf(869,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[837]) ).

thf(870,plain,
    ! [SV22: $i,SV102: $i,SV83: $i,SV157: $i] :
      ( ( ( incident_c @ SV157 @ SV83 )
        = $true )
      | ( ( incident_c @ SV157 @ SV102 )
        = $true )
      | ( ( incident_c @ SV157 @ SV22 )
        = $false )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[838]) ).

thf(871,plain,
    ! [SV102: $i,SV22: $i,SV83: $i,SV165: $i] :
      ( ( ( ~ ( incident_c @ SV165 @ SV83 )
          | ( incident_c @ SV165 @ SV22 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[839]) ).

thf(872,plain,
    ! [SV83: $i,SV22: $i,SV102: $i,SV166: $i] :
      ( ( ( ~ ( incident_c @ SV166 @ SV102 )
          | ( incident_c @ SV166 @ SV22 ) )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[840]) ).

thf(873,plain,
    ! [SV84: $i,SV62: $i] :
      ( ( ( incident_o @ SV62 @ SV84 )
        = $false )
      | ( ( SV62
          = ( sK14_Q @ SV84 @ SV62 ) )
        = $false )
      | ( ( finish_point @ SV62 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[841]) ).

thf(874,plain,
    ! [SV25: $i,SV39: $i,SV44: $i] :
      ( ( ( ~ ! [SY271: $i] :
                ( ~ ( incident_c @ SY271 @ SV44 )
                | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) ) )
        = $false )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[844]) ).

thf(875,plain,
    ! [SV25: $i,SV39: $i,SV44: $i] :
      ( ( ( ~ ! [SY272: $i] :
                ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
                | ( incident_c @ SY272 @ SV44 ) ) )
        = $false )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[844]) ).

thf(876,plain,
    ! [SV2: $i,SV45: $i,SV27: $i,SV40: $i,SV150: $i] :
      ( ( ( end_point @ SV150 @ SV40 )
        = $false )
      | ( ( end_point @ SV150 @ SV27 )
        = $false )
      | ( ( ~ ( end_point @ SV150 @ SV45 ) )
        = $true )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[845]) ).

thf(877,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
              | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[847]) ).

thf(878,plain,
    ! [SV74: $i,SV55: $i] :
      ( ( ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[848]) ).

thf(879,plain,
    ! [SV107: $i,SV151: $i,SV121: $i,SV146: $i] :
      ( ( ( ~ ( part_of @ SV146 @ SV121 ) )
        = $true )
      | ( ( ~ ( part_of @ SV151 @ SV121 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV107 @ SV146 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV107 @ SV151 ) )
        = $true )
      | ( ( ( part_of @ SV146 @ SV151 )
          | ( part_of @ SV151 @ SV146 ) )
        = $true )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[851]) ).

thf(880,plain,
    ! [SV158: $i,SV152: $i,SV32: $i,SV12: $i] :
      ( ( ( ordered_by @ SV12 @ SV32 @ SV152 )
        = $true )
      | ( ( ordered_by @ SV12 @ SV158 @ SV152 )
        = $true )
      | ( ( between_o @ SV12 @ SV32 @ SV152 @ SV158 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[852]) ).

thf(881,plain,
    ! [SV162: $i,SV153: $i,SV32: $i,SV12: $i] :
      ( ( ( ordered_by @ SV12 @ SV32 @ SV153 )
        = $true )
      | ( ( ordered_by @ SV12 @ SV153 @ SV32 )
        = $true )
      | ( ( between_o @ SV12 @ SV32 @ SV153 @ SV162 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[853]) ).

thf(882,plain,
    ! [SV32: $i,SV159: $i,SV154: $i,SV12: $i] :
      ( ( ( ordered_by @ SV12 @ SV154 @ SV159 )
        = $true )
      | ( ( ordered_by @ SV12 @ SV159 @ SV154 )
        = $true )
      | ( ( between_o @ SV12 @ SV32 @ SV154 @ SV159 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[854]) ).

thf(883,plain,
    ! [SV32: $i,SV160: $i,SV155: $i,SV12: $i] :
      ( ( ( ordered_by @ SV12 @ SV155 @ SV160 )
        = $true )
      | ( ( ordered_by @ SV12 @ SV155 @ SV32 )
        = $true )
      | ( ( between_o @ SV12 @ SV32 @ SV155 @ SV160 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[855]) ).

thf(884,plain,
    ! [SV95: $i,SV17: $i,SV36: $i,SV139: $i,SV110: $i] :
      ( ( ( end_point @ SV110 @ SV139 )
        = $false )
      | ( ( end_point @ SV36 @ SV139 )
        = $false )
      | ( ( part_of @ SV139 @ SV17 )
        = $false )
      | ( ( ~ ( inner_point @ SV95 @ SV139 ) )
        = $true )
      | ( ( SV36 = SV110 )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV95 @ SV110 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[856]) ).

thf(885,plain,
    ! [SV17: $i,SV134: $i,SV141: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
                | ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) )
          | ~ ( end_point @ SV141 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) )
        = $false )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[857]) ).

thf(886,plain,
    ! [SV20: $i,SV37: $i,SV98: $i,SV111: $i,SV135: $i] :
      ( ( ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 )
        = $false )
      | ( ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
        = $false )
      | ( ( ~ ( between_c @ SV135 @ SV20 @ SV37 @ SV98 ) )
        = $true )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[859]) ).

thf(887,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i,SV167: $i] :
      ( ( ( ~ ( incident_c @ SV167 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
          | ( incident_o @ SV167 @ SV112 ) )
        = $true )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[861]) ).

thf(888,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i,SV168: $i] :
      ( ( ( ~ ( incident_o @ SV168 @ SV112 )
          | ( incident_c @ SV168 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) )
        = $true )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[862]) ).

thf(889,plain,
    ! [SV100: $i,SV81: $i,SV21: $i] :
      ( ( ( incident_c @ SV21 @ SV81 )
        = $false )
      | ( ( ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[863]) ).

thf(890,plain,
    ! [SV100: $i,SV81: $i,SV21: $i] :
      ( ( ( incident_c @ SV21 @ SV81 )
        = $false )
      | ( ( ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[864]) ).

thf(891,plain,
    ! [SV100: $i,SV81: $i,SV21: $i] :
      ( ( ( incident_c @ SV21 @ SV81 )
        = $false )
      | ( ( ~ ( incident_c @ SV21 @ SV100 ) )
        = $true )
      | ( ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
        = $false )
      | ( ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 )
        = $false )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[865]) ).

thf(892,plain,
    ! [SV21: $i,SV136: $i,SV125: $i,SV163: $i] :
      ( ( ( ~ ( incident_c @ SV163 @ SV125 )
          | ~ ( incident_c @ SV163 @ SV136 ) )
        = $true )
      | ( ( end_point @ SV163 @ SV125 )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[866]) ).

thf(893,plain,
    ! [SV21: $i,SV136: $i,SV125: $i,SV164: $i] :
      ( ( ( ~ ( incident_c @ SV164 @ SV125 )
          | ~ ( incident_c @ SV164 @ SV136 ) )
        = $true )
      | ( ( end_point @ SV164 @ SV136 )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[867]) ).

thf(894,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV82 )
        = $false )
      | ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
        = $false )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(895,plain,
    ! [SV22: $i,SV82: $i,SV101: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV101 )
        = $false )
      | ( ( incident_c @ ( sK28_Q @ SV101 @ SV82 @ SV22 ) @ SV22 )
        = $false )
      | ( ( SV22
          = ( sum @ SV82 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(896,plain,
    ! [SV102: $i,SV22: $i,SV83: $i,SV165: $i] :
      ( ( ( ~ ( incident_c @ SV165 @ SV83 ) )
        = $true )
      | ( ( incident_c @ SV165 @ SV22 )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[871]) ).

thf(897,plain,
    ! [SV83: $i,SV22: $i,SV102: $i,SV166: $i] :
      ( ( ( ~ ( incident_c @ SV166 @ SV102 ) )
        = $true )
      | ( ( incident_c @ SV166 @ SV22 )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[872]) ).

thf(898,plain,
    ! [SV25: $i,SV39: $i,SV44: $i] :
      ( ( ( ! [SY271: $i] :
              ( ~ ( incident_c @ SY271 @ SV44 )
              | ( incident_o @ SY271 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) ) )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[874]) ).

thf(899,plain,
    ! [SV25: $i,SV39: $i,SV44: $i] :
      ( ( ( ! [SY272: $i] :
              ( ~ ( incident_o @ SY272 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
              | ( incident_c @ SY272 @ SV44 ) ) )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[875]) ).

thf(900,plain,
    ! [SV2: $i,SV40: $i,SV27: $i,SV45: $i,SV150: $i] :
      ( ( ( end_point @ SV150 @ SV45 )
        = $false )
      | ( ( end_point @ SV150 @ SV27 )
        = $false )
      | ( ( end_point @ SV150 @ SV40 )
        = $false )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV45 @ SV27 )
          | ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(901,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
          | ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[877]) ).

thf(902,plain,
    ! [SV74: $i,SV55: $i] :
      ( ( ( incident_c @ SV55 @ SV74 )
        = $false )
      | ( ( incident_c @ SV55 @ ( sK26_C1 @ SV74 @ SV55 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(903,plain,
    ! [SV107: $i,SV151: $i,SV121: $i,SV146: $i] :
      ( ( ( part_of @ SV146 @ SV121 )
        = $false )
      | ( ( ~ ( part_of @ SV151 @ SV121 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV107 @ SV146 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV107 @ SV151 ) )
        = $true )
      | ( ( ( part_of @ SV146 @ SV151 )
          | ( part_of @ SV151 @ SV146 ) )
        = $true )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(904,plain,
    ! [SV110: $i,SV36: $i,SV17: $i,SV139: $i,SV95: $i] :
      ( ( ( inner_point @ SV95 @ SV139 )
        = $false )
      | ( ( part_of @ SV139 @ SV17 )
        = $false )
      | ( ( end_point @ SV36 @ SV139 )
        = $false )
      | ( ( end_point @ SV110 @ SV139 )
        = $false )
      | ( ( SV36 = SV110 )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV95 @ SV110 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[884]) ).

thf(905,plain,
    ! [SV17: $i,SV134: $i,SV141: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
                | ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) ) )
        = $false )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[885]) ).

thf(906,plain,
    ! [SV17: $i,SV36: $i,SV134: $i,SV141: $i] :
      ( ( ( ~ ( end_point @ SV141 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) )
        = $false )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[885]) ).

thf(907,plain,
    ! [SV111: $i,SV98: $i,SV37: $i,SV20: $i,SV135: $i] :
      ( ( ( between_c @ SV135 @ SV20 @ SV37 @ SV98 )
        = $false )
      | ( ( incident_c @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV135 )
        = $false )
      | ( ( incident_o @ ( sK12_P @ SV135 @ SV111 @ SV98 @ SV37 @ SV20 ) @ SV111 )
        = $false )
      | ( ( between_o @ SV111 @ SV20 @ SV37 @ SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(908,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i,SV167: $i] :
      ( ( ( ~ ( incident_c @ SV167 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) ) )
        = $true )
      | ( ( incident_o @ SV167 @ SV112 )
        = $true )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[887]) ).

thf(909,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i,SV168: $i] :
      ( ( ( ~ ( incident_o @ SV168 @ SV112 ) )
        = $true )
      | ( ( incident_c @ SV168 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
        = $true )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[888]) ).

thf(910,plain,
    ! [SV81: $i,SV100: $i,SV21: $i] :
      ( ( ( incident_c @ SV21 @ SV100 )
        = $false )
      | ( ( incident_c @ SV21 @ SV81 )
        = $false )
      | ( ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[889]) ).

thf(911,plain,
    ! [SV81: $i,SV100: $i,SV21: $i] :
      ( ( ( incident_c @ SV21 @ SV100 )
        = $false )
      | ( ( incident_c @ SV21 @ SV81 )
        = $false )
      | ( ( incident_c @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 )
        = $true )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(912,plain,
    ! [SV81: $i,SV100: $i,SV21: $i] :
      ( ( ( incident_c @ SV21 @ SV100 )
        = $false )
      | ( ( incident_c @ SV21 @ SV81 )
        = $false )
      | ( ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV81 )
        = $false )
      | ( ( end_point @ ( sK25_Q @ SV100 @ SV81 @ SV21 ) @ SV100 )
        = $false )
      | ( ( meet @ SV21 @ SV81 @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[891]) ).

thf(913,plain,
    ! [SV21: $i,SV136: $i,SV125: $i,SV163: $i] :
      ( ( ( ~ ( incident_c @ SV163 @ SV125 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV163 @ SV136 ) )
        = $true )
      | ( ( end_point @ SV163 @ SV125 )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[892]) ).

thf(914,plain,
    ! [SV21: $i,SV136: $i,SV125: $i,SV164: $i] :
      ( ( ( ~ ( incident_c @ SV164 @ SV125 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV164 @ SV136 ) )
        = $true )
      | ( ( end_point @ SV164 @ SV136 )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[893]) ).

thf(915,plain,
    ! [SV102: $i,SV22: $i,SV83: $i,SV165: $i] :
      ( ( ( incident_c @ SV165 @ SV83 )
        = $false )
      | ( ( incident_c @ SV165 @ SV22 )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[896]) ).

thf(916,plain,
    ! [SV83: $i,SV22: $i,SV102: $i,SV166: $i] :
      ( ( ( incident_c @ SV166 @ SV102 )
        = $false )
      | ( ( incident_c @ SV166 @ SV22 )
        = $true )
      | ( ( SV22
          = ( sum @ SV83 @ SV102 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[897]) ).

thf(917,plain,
    ! [SV25: $i,SV39: $i,SV44: $i,SV169: $i] :
      ( ( ( ~ ( incident_c @ SV169 @ SV44 )
          | ( incident_o @ SV169 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[898]) ).

thf(918,plain,
    ! [SV25: $i,SV39: $i,SV44: $i,SV170: $i] :
      ( ( ( ~ ( incident_o @ SV170 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
          | ( incident_c @ SV170 @ SV44 ) )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[899]) ).

thf(919,plain,
    ! [SV150: $i,SV2: $i,SV40: $i,SV27: $i,SV45: $i] :
      ( ( ( part_of @ SV45 @ SV27 )
        = $true )
      | ( ( ( part_of @ SV27 @ SV45 )
          | ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( end_point @ SV150 @ SV40 )
        = $false )
      | ( ( end_point @ SV150 @ SV27 )
        = $false )
      | ( ( end_point @ SV150 @ SV45 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[900]) ).

thf(920,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[901]) ).

thf(921,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( ~ ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[901]) ).

thf(922,plain,
    ! [SV107: $i,SV146: $i,SV121: $i,SV151: $i] :
      ( ( ( part_of @ SV151 @ SV121 )
        = $false )
      | ( ( part_of @ SV146 @ SV121 )
        = $false )
      | ( ( ~ ( incident_c @ SV107 @ SV146 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV107 @ SV151 ) )
        = $true )
      | ( ( ( part_of @ SV146 @ SV151 )
          | ( part_of @ SV151 @ SV146 ) )
        = $true )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[903]) ).

thf(923,plain,
    ! [SV17: $i,SV134: $i,SV141: $i,SV36: $i] :
      ( ( ( ~ ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
              | ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) ) )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[905]) ).

thf(924,plain,
    ! [SV17: $i,SV36: $i,SV134: $i,SV141: $i] :
      ( ( ( end_point @ SV141 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[906]) ).

thf(925,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i,SV167: $i] :
      ( ( ( incident_c @ SV167 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
        = $false )
      | ( ( incident_o @ SV167 @ SV112 )
        = $true )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[908]) ).

thf(926,plain,
    ! [SV20: $i,SV37: $i,SV99: $i,SV112: $i,SV168: $i] :
      ( ( ( incident_o @ SV168 @ SV112 )
        = $false )
      | ( ( incident_c @ SV168 @ ( sK11_C @ SV112 @ SV99 @ SV37 @ SV20 ) )
        = $true )
      | ( ( between_o @ SV112 @ SV20 @ SV37 @ SV99 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[909]) ).

thf(927,plain,
    ! [SV21: $i,SV136: $i,SV125: $i,SV163: $i] :
      ( ( ( incident_c @ SV163 @ SV125 )
        = $false )
      | ( ( ~ ( incident_c @ SV163 @ SV136 ) )
        = $true )
      | ( ( end_point @ SV163 @ SV125 )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[913]) ).

thf(928,plain,
    ! [SV21: $i,SV136: $i,SV125: $i,SV164: $i] :
      ( ( ( incident_c @ SV164 @ SV125 )
        = $false )
      | ( ( ~ ( incident_c @ SV164 @ SV136 ) )
        = $true )
      | ( ( end_point @ SV164 @ SV136 )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[914]) ).

thf(929,plain,
    ! [SV25: $i,SV39: $i,SV44: $i,SV169: $i] :
      ( ( ( ~ ( incident_c @ SV169 @ SV44 ) )
        = $true )
      | ( ( incident_o @ SV169 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[917]) ).

thf(930,plain,
    ! [SV25: $i,SV39: $i,SV44: $i,SV170: $i] :
      ( ( ( ~ ( incident_o @ SV170 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) ) )
        = $true )
      | ( ( incident_c @ SV170 @ SV44 )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[918]) ).

thf(931,plain,
    ! [SV150: $i,SV2: $i,SV40: $i,SV45: $i,SV27: $i] :
      ( ( ( part_of @ SV27 @ SV45 )
        = $true )
      | ( ( ( part_of @ SV40 @ SV27 )
          | ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true )
      | ( ( part_of @ SV45 @ SV27 )
        = $true )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( end_point @ SV150 @ SV40 )
        = $false )
      | ( ( end_point @ SV150 @ SV27 )
        = $false )
      | ( ( end_point @ SV150 @ SV45 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[919]) ).

thf(932,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[920]) ).

thf(933,plain,
    ! [SV55: $i,SV74: $i] :
      ( ( ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 )
        = $true )
      | ( ( ~ ( incident_c @ SV55 @ SV74 ) )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[921]) ).

thf(934,plain,
    ! [SV151: $i,SV121: $i,SV146: $i,SV107: $i] :
      ( ( ( incident_c @ SV107 @ SV146 )
        = $false )
      | ( ( part_of @ SV146 @ SV121 )
        = $false )
      | ( ( part_of @ SV151 @ SV121 )
        = $false )
      | ( ( ~ ( incident_c @ SV107 @ SV151 ) )
        = $true )
      | ( ( ( part_of @ SV146 @ SV151 )
          | ( part_of @ SV151 @ SV146 ) )
        = $true )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[922]) ).

thf(935,plain,
    ! [SV17: $i,SV134: $i,SV141: $i,SV36: $i] :
      ( ( ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
          | ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) )
        = $false )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[923]) ).

thf(936,plain,
    ! [SV21: $i,SV125: $i,SV136: $i,SV163: $i] :
      ( ( ( incident_c @ SV163 @ SV136 )
        = $false )
      | ( ( incident_c @ SV163 @ SV125 )
        = $false )
      | ( ( end_point @ SV163 @ SV125 )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[927]) ).

thf(937,plain,
    ! [SV21: $i,SV125: $i,SV136: $i,SV164: $i] :
      ( ( ( incident_c @ SV164 @ SV136 )
        = $false )
      | ( ( incident_c @ SV164 @ SV125 )
        = $false )
      | ( ( end_point @ SV164 @ SV136 )
        = $true )
      | ( ( meet @ SV21 @ SV125 @ SV136 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[928]) ).

thf(938,plain,
    ! [SV25: $i,SV39: $i,SV44: $i,SV169: $i] :
      ( ( ( incident_c @ SV169 @ SV44 )
        = $false )
      | ( ( incident_o @ SV169 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[929]) ).

thf(939,plain,
    ! [SV25: $i,SV39: $i,SV44: $i,SV170: $i] :
      ( ( ( incident_o @ SV170 @ ( sK9_O @ SV44 @ SV39 @ SV25 ) )
        = $false )
      | ( ( incident_c @ SV170 @ SV44 )
        = $true )
      | ( ( incident_c @ SV25 @ SV44 )
        = $false )
      | ( ( SV25 = SV39 )
        = $true )
      | ( ( open @ SV44 )
        = $false )
      | ( ( incident_c @ SV39 @ SV44 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[930]) ).

thf(940,plain,
    ! [SV150: $i,SV2: $i,SV45: $i,SV27: $i,SV40: $i] :
      ( ( ( part_of @ SV40 @ SV27 )
        = $true )
      | ( ( ( part_of @ SV27 @ SV40 )
          | ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true )
      | ( ( part_of @ SV27 @ SV45 )
        = $true )
      | ( ( part_of @ SV45 @ SV27 )
        = $true )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( end_point @ SV150 @ SV40 )
        = $false )
      | ( ( end_point @ SV150 @ SV27 )
        = $false )
      | ( ( end_point @ SV150 @ SV45 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[931]) ).

thf(941,plain,
    ! [SV74: $i,SV55: $i] :
      ( ( ( incident_c @ SV55 @ SV74 )
        = $false )
      | ( ( part_of @ ( sK26_C1 @ SV74 @ SV55 ) @ SV74 )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[932]) ).

thf(942,plain,
    ! [SV74: $i,SV55: $i] :
      ( ( ( incident_c @ SV55 @ SV74 )
        = $false )
      | ( ( part_of @ ( sK27_SY132 @ SV74 @ SV55 ) @ SV74 )
        = $true )
      | ( ( end_point @ SV55 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[933]) ).

thf(943,plain,
    ! [SV146: $i,SV121: $i,SV151: $i,SV107: $i] :
      ( ( ( incident_c @ SV107 @ SV151 )
        = $false )
      | ( ( part_of @ SV151 @ SV121 )
        = $false )
      | ( ( part_of @ SV146 @ SV121 )
        = $false )
      | ( ( incident_c @ SV107 @ SV146 )
        = $false )
      | ( ( ( part_of @ SV146 @ SV151 )
          | ( part_of @ SV151 @ SV146 ) )
        = $true )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[934]) ).

thf(944,plain,
    ! [SV17: $i,SV134: $i,SV141: $i,SV36: $i] :
      ( ( ( ~ ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) ) )
        = $false )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[935]) ).

thf(945,plain,
    ! [SV17: $i,SV36: $i,SV134: $i,SV141: $i] :
      ( ( ( ~ ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 ) )
        = $false )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[935]) ).

thf(946,plain,
    ! [SV150: $i,SV2: $i,SV45: $i,SV40: $i,SV27: $i] :
      ( ( ( part_of @ SV27 @ SV40 )
        = $true )
      | ( ( ( part_of @ SV40 @ SV45 )
          | ( part_of @ SV45 @ SV40 ) )
        = $true )
      | ( ( part_of @ SV40 @ SV27 )
        = $true )
      | ( ( part_of @ SV27 @ SV45 )
        = $true )
      | ( ( part_of @ SV45 @ SV27 )
        = $true )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( end_point @ SV150 @ SV40 )
        = $false )
      | ( ( end_point @ SV150 @ SV27 )
        = $false )
      | ( ( end_point @ SV150 @ SV45 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[940]) ).

thf(947,plain,
    ! [SV121: $i,SV107: $i,SV151: $i,SV146: $i] :
      ( ( ( part_of @ SV146 @ SV151 )
        = $true )
      | ( ( part_of @ SV151 @ SV146 )
        = $true )
      | ( ( incident_c @ SV107 @ SV146 )
        = $false )
      | ( ( part_of @ SV146 @ SV121 )
        = $false )
      | ( ( part_of @ SV151 @ SV121 )
        = $false )
      | ( ( incident_c @ SV107 @ SV151 )
        = $false )
      | ( ( end_point @ SV107 @ SV121 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[943]) ).

thf(948,plain,
    ! [SV17: $i,SV134: $i,SV141: $i,SV36: $i] :
      ( ( ( end_point @ SV36 @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[944]) ).

thf(949,plain,
    ! [SV17: $i,SV36: $i,SV134: $i,SV141: $i] :
      ( ( ( part_of @ ( sK16_Cpp @ SV141 @ SV134 @ SV36 @ SV17 ) @ SV17 )
        = $true )
      | ( ( between_c @ SV17 @ SV36 @ SV134 @ SV141 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[945]) ).

thf(950,plain,
    ! [SV150: $i,SV2: $i,SV27: $i,SV45: $i,SV40: $i] :
      ( ( ( part_of @ SV40 @ SV45 )
        = $true )
      | ( ( part_of @ SV45 @ SV40 )
        = $true )
      | ( ( part_of @ SV27 @ SV40 )
        = $true )
      | ( ( part_of @ SV40 @ SV27 )
        = $true )
      | ( ( part_of @ SV27 @ SV45 )
        = $true )
      | ( ( part_of @ SV45 @ SV27 )
        = $true )
      | ( ( part_of @ SV45 @ SV2 )
        = $false )
      | ( ( part_of @ SV27 @ SV2 )
        = $false )
      | ( ( part_of @ SV40 @ SV2 )
        = $false )
      | ( ( end_point @ SV150 @ SV40 )
        = $false )
      | ( ( end_point @ SV150 @ SV27 )
        = $false )
      | ( ( end_point @ SV150 @ SV45 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[946]) ).

thf(951,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[157,950,949,948,947,942,941,939,938,937,936,926,925,924,916,915,912,911,910,907,904,902,895,894,883,882,881,880,873,870,860,858,850,849,846,843,842,835,834,821,820,812,810,809,806,785,769,768,767,766,761,756,748,729,724,721,718,679,678,676,675,660,659,649,645,639,630,609,608,583,582,579,568,567,561,560,558,557,533,532,525,524,509,506,504,503,501,499,485,484,451,389,371,367,346,321,270,195,192,190,186]) ).

thf(952,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( incident_c @ ( sK29_P @ C1 @ C ) @ C1 )
            & ~ ( incident_c @ ( sK29_P @ C1 @ C ) @ C ) )
          | ( part_of @ C1 @ C ) )
      & ! [C: $i,C1: $i] :
          ( ~ ( part_of @ C1 @ C )
          | ! [P: $i] :
              ( ~ ( incident_c @ P @ C1 )
              | ( incident_c @ P @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(953,plain,
    ( ( ! [C: $i] :
          ( ! [C1: $i,C2: $i] :
              ( ( ( ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C1 ) )
                & ( ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C2 ) )
                & ( ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C )
                  | ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C1 )
                  | ( incident_c @ ( sK28_Q @ C2 @ C1 @ C ) @ C2 ) ) )
              | ( C
                = ( sum @ C1 @ C2 ) ) )
          & ! [C1: $i,C2: $i] :
              ( ( C
               != ( sum @ C1 @ C2 ) )
              | ( ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C )
                    | ( incident_c @ Q @ C1 )
                    | ( incident_c @ Q @ C2 ) )
                & ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C1 )
                    | ( incident_c @ Q @ C ) )
                & ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C2 )
                    | ( incident_c @ Q @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(954,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( ( part_of @ ( sK26_C1 @ C @ P ) @ C )
            & ( part_of @ ( sK27_SY132 @ C @ P ) @ C )
            & ( incident_c @ P @ ( sK26_C1 @ C @ P ) )
            & ( incident_c @ P @ ( sK27_SY132 @ C @ P ) )
            & ~ ( part_of @ ( sK26_C1 @ C @ P ) @ ( sK27_SY132 @ C @ P ) )
            & ~ ( part_of @ ( sK27_SY132 @ C @ P ) @ ( sK26_C1 @ C @ P ) ) )
          | ~ ( incident_c @ P @ C )
          | ( end_point @ P @ C ) )
      & ! [P: $i,C: $i] :
          ( ~ ( end_point @ P @ C )
          | ! [C1: $i,C2: $i] :
              ( ~ ( part_of @ C1 @ C )
              | ~ ( part_of @ C2 @ C )
              | ~ ( incident_c @ P @ C1 )
              | ~ ( incident_c @ P @ C2 )
              | ( part_of @ C1 @ C2 )
              | ( part_of @ C2 @ C1 ) ) )
      & ! [P: $i,C: $i] :
          ( ~ ( end_point @ P @ C )
          | ( incident_c @ P @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[118]) ).

thf(955,plain,
    ( ( ! [P: $i,C: $i] :
          ( ~ ( incident_c @ P @ C )
          | ( end_point @ P @ C )
          | ( inner_point @ P @ C ) )
      & ! [P: $i,C: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( incident_c @ P @ C ) )
      & ! [P: $i,C: $i] :
          ( ~ ( inner_point @ P @ C )
          | ~ ( end_point @ P @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(956,plain,
    ( ( ! [P: $i] :
          ( ! [C: $i,C1: $i] :
              ( ( ( incident_c @ ( sK25_Q @ C1 @ C @ P ) @ C )
                & ( incident_c @ ( sK25_Q @ C1 @ C @ P ) @ C1 )
                & ( ~ ( end_point @ ( sK25_Q @ C1 @ C @ P ) @ C )
                  | ~ ( end_point @ ( sK25_Q @ C1 @ C @ P ) @ C1 ) ) )
              | ~ ( incident_c @ P @ C )
              | ~ ( incident_c @ P @ C1 )
              | ( meet @ P @ C @ C1 ) )
          & ! [C: $i,C1: $i] :
              ( ~ ( meet @ P @ C @ C1 )
              | ( ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C )
                    | ~ ( incident_c @ Q @ C1 )
                    | ( end_point @ Q @ C ) )
                & ! [Q: $i] :
                    ( ~ ( incident_c @ Q @ C )
                    | ~ ( incident_c @ Q @ C1 )
                    | ( end_point @ Q @ C1 ) ) ) )
          & ! [C: $i] :
              ( ! [C1: $i] :
                  ~ ( meet @ P @ C @ C1 )
              | ( incident_c @ P @ C ) )
          & ! [C: $i,C1: $i] :
              ( ~ ( meet @ P @ C @ C1 )
              | ( incident_c @ P @ C1 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(957,plain,
    ( ( ! [C: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( end_point @ P @ C ) )
      & ! [C: $i] :
          ( ( end_point @ ( sK24_P @ C ) @ C )
          | ( closed @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(958,plain,
    ( ( ! [C: $i] :
          ( ! [P: $i] :
              ~ ( end_point @ P @ C )
          | ( open @ C ) )
      & ! [C: $i] :
          ( ~ ( open @ C )
          | ( end_point @ ( sK23_P @ C ) @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(959,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( C1 = C )
          | ~ ( part_of @ C1 @ C )
          | ( open @ C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[113]) ).

thf(960,plain,
    ( ( ! [C: $i,C1: $i,C2: $i,C3: $i] :
          ( ~ ( part_of @ C1 @ C )
          | ~ ( part_of @ C2 @ C )
          | ~ ( part_of @ C3 @ C )
          | ! [P: $i] :
              ( ~ ( end_point @ P @ C1 )
              | ~ ( end_point @ P @ C2 )
              | ~ ( end_point @ P @ C3 ) )
          | ( part_of @ C3 @ C1 )
          | ( part_of @ C1 @ C3 )
          | ( part_of @ C2 @ C1 )
          | ( part_of @ C1 @ C2 )
          | ( part_of @ C2 @ C3 )
          | ( part_of @ C3 @ C2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(961,plain,
    ( ( ! [C: $i] : ( inner_point @ ( sK22_P @ C ) @ C ) )
    = $true ),
    inference(copy,[status(thm)],[111]) ).

thf(962,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( ( C
              = ( sum @ ( sK20_C1 @ P @ C ) @ ( sK21_SY131 @ P @ C ) ) )
            & ( meet @ P @ ( sK20_C1 @ P @ C ) @ ( sK21_SY131 @ P @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[110]) ).

thf(963,plain,
    ( ( ! [C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( end_point @ P @ C )
          | ~ ( end_point @ Q @ C )
          | ~ ( end_point @ R @ C )
          | ( Q = R )
          | ( P = Q )
          | ( P = R ) ) )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(964,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( end_point @ P @ C )
          | ( ( P
             != ( sK19_Q @ P @ C ) )
            & ( end_point @ ( sK19_Q @ P @ C ) @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[108]) ).

thf(965,plain,
    ( ( ! [C: $i,C1: $i,C2: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( C
           != ( sum @ C1 @ C2 ) )
          | ! [Q: $i] :
              ( ~ ( end_point @ Q @ C1 )
              | ( meet @ Q @ C1 @ C2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(966,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( ( sK18_C @ C2 @ C1 )
            = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(967,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( ~ ( incident_c @ ( sK17_P @ C1 @ C ) @ C )
              | ~ ( incident_c @ ( sK17_P @ C1 @ C ) @ C1 ) )
            & ( ( incident_c @ ( sK17_P @ C1 @ C ) @ C )
              | ( incident_c @ ( sK17_P @ C1 @ C ) @ C1 ) ) )
          | ( C = C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(968,plain,
    ( ( ! [C: $i,P: $i] :
          ( ! [Q: $i,R: $i] :
              ( ( P = R )
              | ! [Cpp: $i] :
                  ( ~ ( end_point @ P @ Cpp )
                  | ~ ( part_of @ Cpp @ C )
                  | ~ ( end_point @ R @ Cpp )
                  | ~ ( inner_point @ Q @ Cpp ) )
              | ( between_c @ C @ P @ Q @ R ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_c @ C @ P @ Q @ R )
              | ( P != R ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_c @ C @ P @ Q @ R )
              | ( ( end_point @ P @ ( sK16_Cpp @ R @ Q @ P @ C ) )
                & ( part_of @ ( sK16_Cpp @ R @ Q @ P @ C ) @ C )
                & ( end_point @ R @ ( sK16_Cpp @ R @ Q @ P @ C ) )
                & ( inner_point @ Q @ ( sK16_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(969,plain,
    ( ( ! [O: $i,P: $i] :
          ( ! [Q: $i,R: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ P @ Q )
              | ( ordered_by @ O @ R @ Q ) )
          & ! [Q: $i] :
              ( ! [R: $i] :
                  ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ P @ Q )
              | ( ordered_by @ O @ Q @ P ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ Q @ R )
              | ( ordered_by @ O @ R @ Q ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ordered_by @ O @ Q @ R )
              | ( ordered_by @ O @ Q @ P ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( ordered_by @ O @ P @ Q )
              | ~ ( ordered_by @ O @ Q @ R )
              | ( between_o @ O @ P @ Q @ R ) )
          & ! [Q: $i,R: $i] :
              ( ~ ( ordered_by @ O @ R @ Q )
              | ~ ( ordered_by @ O @ Q @ P )
              | ( between_o @ O @ P @ Q @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(970,plain,
    ( ( ! [P: $i,O: $i] :
          ( ( ( P
             != ( sK15_Q @ O @ P ) )
            & ( incident_o @ ( sK15_Q @ O @ P ) @ O )
            & ~ ( ordered_by @ O @ P @ ( sK15_Q @ O @ P ) ) )
          | ~ ( incident_o @ P @ O )
          | ( start_point @ P @ O ) )
      & ! [P: $i,O: $i] :
          ( ~ ( start_point @ P @ O )
          | ! [Q: $i] :
              ( ( P = Q )
              | ~ ( incident_o @ Q @ O )
              | ( ordered_by @ O @ P @ Q ) ) )
      & ! [P: $i,O: $i] :
          ( ~ ( start_point @ P @ O )
          | ( incident_o @ P @ O ) ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(971,plain,
    ( ( ! [P: $i,O: $i] :
          ( ( ( P
             != ( sK14_Q @ O @ P ) )
            & ( incident_o @ ( sK14_Q @ O @ P ) @ O )
            & ~ ( ordered_by @ O @ ( sK14_Q @ O @ P ) @ P ) )
          | ~ ( incident_o @ P @ O )
          | ( finish_point @ P @ O ) )
      & ! [P: $i,O: $i] :
          ( ~ ( finish_point @ P @ O )
          | ! [Q: $i] :
              ( ( P = Q )
              | ~ ( incident_o @ Q @ O )
              | ( ordered_by @ O @ Q @ P ) ) )
      & ! [P: $i,O: $i] :
          ( ~ ( finish_point @ P @ O )
          | ( incident_o @ P @ O ) ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(972,plain,
    ( ( ! [O: $i] :
          ( ! [P: $i] :
              ( ! [Q: $i] :
                  ~ ( ordered_by @ O @ P @ Q )
              | ( incident_o @ P @ O ) )
          & ! [P: $i,Q: $i] :
              ( ~ ( ordered_by @ O @ P @ Q )
              | ( incident_o @ Q @ O ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(973,plain,
    ( ( ! [O: $i] :
          ( ! [SY129: $i] :
              ( ~ ( incident_c @ SY129 @ ( sK13_C @ O ) )
              | ( incident_o @ SY129 @ O ) )
          & ! [SY130: $i] :
              ( ~ ( incident_o @ SY130 @ O )
              | ( incident_c @ SY130 @ ( sK13_C @ O ) ) )
          & ( open @ ( sK13_C @ O ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(974,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ! [R: $i,O: $i] :
              ( ! [C: $i] :
                  ( ( ( ~ ( incident_c @ ( sK12_P @ C @ O @ R @ Q @ P ) @ C )
                      | ~ ( incident_o @ ( sK12_P @ C @ O @ R @ Q @ P ) @ O ) )
                    & ( ( incident_c @ ( sK12_P @ C @ O @ R @ Q @ P ) @ C )
                      | ( incident_o @ ( sK12_P @ C @ O @ R @ Q @ P ) @ O ) ) )
                  | ~ ( between_c @ C @ P @ Q @ R ) )
              | ( between_o @ O @ P @ Q @ R ) )
          & ! [R: $i,O: $i] :
              ( ~ ( between_o @ O @ P @ Q @ R )
              | ( ! [SY127: $i] :
                    ( ~ ( incident_c @ SY127 @ ( sK11_C @ O @ R @ Q @ P ) )
                    | ( incident_o @ SY127 @ O ) )
                & ! [SY128: $i] :
                    ( ~ ( incident_o @ SY128 @ O )
                    | ( incident_c @ SY128 @ ( sK11_C @ O @ R @ Q @ P ) ) )
                & ( between_c @ ( sK11_C @ O @ R @ Q @ P ) @ P @ Q @ R ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(975,plain,
    ( ( ! [O: $i] : ( start_point @ ( sK10_P @ O ) @ O ) )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(976,plain,
    ( ( ! [P: $i,Q: $i,C: $i] :
          ( ( P = Q )
          | ~ ( open @ C )
          | ~ ( incident_c @ P @ C )
          | ~ ( incident_c @ Q @ C )
          | ( ! [SY125: $i] :
                ( ~ ( incident_c @ SY125 @ C )
                | ( incident_o @ SY125 @ ( sK9_O @ C @ Q @ P ) ) )
            & ! [SY126: $i] :
                ( ~ ( incident_o @ SY126 @ ( sK9_O @ C @ Q @ P ) )
                | ( incident_c @ SY126 @ C ) )
            & ( ordered_by @ ( sK9_O @ C @ Q @ P ) @ P @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[96]) ).

thf(977,plain,
    ( ( ! [O1: $i,O2: $i] :
          ( ( ( ~ ( ordered_by @ O1 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) )
              | ~ ( ordered_by @ O2 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) ) )
            & ( ( ordered_by @ O1 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) )
              | ( ordered_by @ O2 @ ( sK7_P @ O2 @ O1 ) @ ( sK8_SY124 @ O2 @ O1 ) ) ) )
          | ( O1 = O2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(978,plain,
    ( ( ! [C: $i,O: $i] :
          ( ( ( ~ ( incident_c @ ( sK6_P @ O @ C ) @ C )
              | ~ ( incident_o @ ( sK6_P @ O @ C ) @ O ) )
            & ( ( incident_c @ ( sK6_P @ O @ C ) @ C )
              | ( incident_o @ ( sK6_P @ O @ C ) @ O ) ) )
          | ( C
            = ( underlying_curve @ O ) ) )
      & ! [C: $i,O: $i] :
          ( ( C
           != ( underlying_curve @ O ) )
          | ( ! [P: $i] :
                ( ~ ( incident_c @ P @ C )
                | ( incident_o @ P @ O ) )
            & ! [P: $i] :
                ( ~ ( incident_o @ P @ O )
                | ( incident_c @ P @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[94]) ).

thf(979,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i,P: $i] :
              ( ~ ( connect @ X @ Y @ P )
              | ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) ) )
          & ! [Y: $i,P: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at @ X @ P ) @ ( at @ Y @ P ) ) )
              | ( connect @ X @ Y @ P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[93]) ).

thf(980,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( once @ ( at_the_same_time @ A @ B ) )
          | ( once @ ( at_the_same_time @ B @ A ) ) )
      & ! [A: $i,B: $i] :
          ( ~ ( once @ ( at_the_same_time @ B @ A ) )
          | ( once @ ( at_the_same_time @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[92]) ).

thf(981,plain,
    ( ( ! [A: $i] :
          ( ! [B: $i,C: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) )
              | ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) ) )
          & ! [B: $i,C: $i] :
              ( ~ ( once @ ( at_the_same_time @ A @ ( at_the_same_time @ B @ C ) ) )
              | ( once @ ( at_the_same_time @ ( at_the_same_time @ A @ B ) @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[91]) ).

thf(982,plain,
    ( ( ! [A: $i] :
          ( ~ ( once @ A )
          | ( once @ ( at_the_same_time @ A @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(983,plain,
    ( ( ! [A: $i] :
          ( ! [B: $i] :
              ~ ( once @ ( at_the_same_time @ A @ B ) )
          | ( once @ A ) )
      & ! [A: $i,B: $i] :
          ( ~ ( once @ ( at_the_same_time @ A @ B ) )
          | ( once @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[89]) ).

thf(984,plain,
    ( ( ! [X: $i,P: $i] :
          ( ~ ( incident_o @ P @ ( trajectory_of @ X ) )
          | ( once @ ( at @ X @ P ) ) )
      & ! [X: $i,P: $i] :
          ( ~ ( once @ ( at @ X @ P ) )
          | ( incident_o @ P @ ( trajectory_of @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(985,plain,
    ( ( ! [X: $i] :
          ( ( trajectory_of @ X )
          = ( sK5_O @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(986,plain,
    ( ( ! [P1: $i,P2: $i,Q1: $i,Q2: $i,X: $i,Y: $i] :
          ( ~ ( once @ ( at_the_same_time @ ( at @ X @ P1 ) @ ( at @ Y @ P2 ) ) )
          | ~ ( once @ ( at_the_same_time @ ( at @ X @ Q1 ) @ ( at @ Y @ Q2 ) ) )
          | ~ ( ordered_by @ ( trajectory_of @ X ) @ P1 @ Q1 )
          | ~ ( ordered_by @ ( trajectory_of @ Y ) @ Q2 @ P2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(987,plain,
    ( ( ! [A: $i] :
          ( ~ ( once @ A )
          | ! [X: $i] : ( once @ ( at_the_same_time @ A @ ( at @ X @ ( sK4_P @ X @ A ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(988,plain,
    ( ( connect @ sK2_SY121 @ sK3_SY123 @ sK1_P )
    = $true ),
    inference(copy,[status(thm)],[79]) ).

thf(989,plain,
    ( ( ~ ( incident_o @ sK1_P @ ( trajectory_of @ sK3_SY123 ) ) )
    = $true ),
    inference(copy,[status(thm)],[84]) ).

thf(990,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( closed @ SX0 )
                | ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( end_point @ ( sK24_P @ SX0 ) @ SX0 )
                | ( closed @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[957]) ).

thf(991,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i] :
                  ( ! [SX2: $i] :
                      ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
                  | ( incident_o @ SX1 @ SX0 ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
                  | ( incident_o @ SX2 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[972]) ).

thf(992,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX1 )
                    | ~ ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX0 ) )
                | ( part_of @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( part_of @ SX1 @ SX0 )
                | ! [SX2: $i] :
                    ( ~ ( incident_c @ SX2 @ SX1 )
                    | ( incident_c @ SX2 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[952]) ).

thf(993,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                        | ~ ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
                    | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                        | ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
                | ( SX0
                  = ( underlying_curve @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0
                 != ( underlying_curve @ SX1 ) )
                | ~ ( ~ ! [SX2: $i] :
                          ( ~ ( incident_c @ SX2 @ SX0 )
                          | ( incident_o @ SX2 @ SX1 ) )
                    | ~ ! [SX2: $i] :
                          ( ~ ( incident_o @ SX2 @ SX1 )
                          | ( incident_c @ SX2 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[978]) ).

thf(994,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ~ ( ~ ! [SX1: $i] :
                        ( ~ ( incident_c @ SX1 @ ( sK13_C @ SX0 ) )
                        | ( incident_o @ SX1 @ SX0 ) )
                  | ~ ! [SX1: $i] :
                        ( ~ ( incident_o @ SX1 @ SX0 )
                        | ( incident_c @ SX1 @ ( sK13_C @ SX0 ) ) ) )
            | ~ ( open @ ( sK13_C @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[973]) ).

thf(995,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( incident_c @ SX0 @ SX1 )
                | ( end_point @ SX0 @ SX1 )
                | ( inner_point @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( inner_point @ SX0 @ SX1 )
                      | ( incident_c @ SX0 @ SX1 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( inner_point @ SX0 @ SX1 )
                      | ~ ( end_point @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[955]) ).

thf(996,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ( ( SX0
                               != ( sK14_Q @ SX1 @ SX0 ) ) )
                          | ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
                    | ~ ~ ( ordered_by @ SX1 @ ( sK14_Q @ SX1 @ SX0 ) @ SX0 ) )
                | ~ ( incident_o @ SX0 @ SX1 )
                | ( finish_point @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( finish_point @ SX0 @ SX1 )
                      | ! [SX2: $i] :
                          ( ( SX0 = SX2 )
                          | ~ ( incident_o @ SX2 @ SX1 )
                          | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( finish_point @ SX0 @ SX1 )
                      | ( incident_o @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[971]) ).

thf(997,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX1 @ SX0 )
          | ~ ( ( SX0
               != ( sum @ ( sK20_C1 @ SX1 @ SX0 ) @ ( sK21_SY131 @ SX1 @ SX0 ) ) )
              | ~ ( meet @ SX1 @ ( sK20_C1 @ SX1 @ SX0 ) @ ( sK21_SY131 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[962]) ).

thf(998,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ SX1 )
                                      | ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ SX1 ) )
                                | ~ ( incident_c @ SX0 @ ( sK26_C1 @ SX1 @ SX0 ) ) )
                          | ~ ( incident_c @ SX0 @ ( sK27_SY132 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ ( sK27_SY132 @ SX1 @ SX0 ) )
                          | ~ ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ ( sK26_C1 @ SX1 @ SX0 ) ) ) )
                | ~ ( incident_c @ SX0 @ SX1 )
                | ( end_point @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( end_point @ SX0 @ SX1 )
                      | ! [SX2: $i,SX3: $i] :
                          ( ~ ( part_of @ SX2 @ SX1 )
                          | ~ ( part_of @ SX3 @ SX1 )
                          | ~ ( incident_c @ SX0 @ SX2 )
                          | ~ ( incident_c @ SX0 @ SX3 )
                          | ( part_of @ SX2 @ SX3 )
                          | ( part_of @ SX3 @ SX2 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( end_point @ SX0 @ SX1 )
                      | ( incident_c @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[954]) ).

thf(999,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( ~ ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                      | ~ ( ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                          | ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ( incident_c @ ( sK28_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                  | ( SX0
                    = ( sum @ SX1 @ SX2 ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ( SX0
                   != ( sum @ SX1 @ SX2 ) )
                  | ~ ( ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SX0 )
                            | ( incident_c @ SX3 @ SX1 )
                            | ( incident_c @ SX3 @ SX2 ) )
                      | ~ ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SX1 )
                                  | ( incident_c @ SX3 @ SX0 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SX2 )
                                  | ( incident_c @ SX3 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[953]) ).

thf(1000,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX1 @ SX0 )
          | ~ ( ~ ( ( SX1
                   != ( sK19_Q @ SX1 @ SX0 ) ) )
              | ~ ( end_point @ ( sK19_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[964]) ).

thf(1001,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
                | ( once @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
                | ( once @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[983]) ).

thf(1002,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( connect @ SX0 @ SX1 @ SX2 )
                  | ( once @ ( at_the_same_time @ ( at @ SX0 @ SX2 ) @ ( at @ SX1 @ SX2 ) ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( once @ ( at_the_same_time @ ( at @ SX0 @ SX2 ) @ ( at @ SX1 @ SX2 ) ) )
                  | ( connect @ SX0 @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[979]) ).

thf(1003,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ~ ( ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                              ( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX1 @ SX2 )
                              | ( ordered_by @ SX0 @ SX3 @ SX2 ) )
                        | ~ ! [SX2: $i] :
                              ( ! [SX3: $i] :
                                  ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX1 @ SX2 )
                              | ( ordered_by @ SX0 @ SX2 @ SX1 ) ) )
                  | ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                              ( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX3 @ SX2 ) )
                        | ~ ! [SX2: $i,SX3: $i] :
                              ( ~ ( between_o @ SX0 @ SX1 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX2 @ SX3 )
                              | ( ordered_by @ SX0 @ SX2 @ SX1 ) ) ) )
            | ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ( ordered_by @ SX0 @ SX1 @ SX2 )
                        | ~ ( ordered_by @ SX0 @ SX2 @ SX3 )
                        | ( between_o @ SX0 @ SX1 @ SX2 @ SX3 ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ( ordered_by @ SX0 @ SX3 @ SX2 )
                        | ~ ( ordered_by @ SX0 @ SX2 @ SX1 )
                        | ( between_o @ SX0 @ SX1 @ SX2 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[969]) ).

thf(1004,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                            | ~ ( incident_c @ ( sK25_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
                      | ~ ( ~ ( end_point @ ( sK25_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ~ ( end_point @ ( sK25_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                  | ~ ( incident_c @ SX0 @ SX1 )
                  | ~ ( incident_c @ SX0 @ SX2 )
                  | ( meet @ SX0 @ SX1 @ SX2 ) )
            | ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( meet @ SX0 @ SX1 @ SX2 )
                        | ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SX1 )
                                  | ~ ( incident_c @ SX3 @ SX2 )
                                  | ( end_point @ SX3 @ SX1 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SX1 )
                                  | ~ ( incident_c @ SX3 @ SX2 )
                                  | ( end_point @ SX3 @ SX2 ) ) ) )
                  | ~ ~ ( ~ ! [SX1: $i] :
                              ( ! [SX2: $i] :
                                  ~ ( meet @ SX0 @ SX1 @ SX2 )
                              | ( incident_c @ SX0 @ SX1 ) )
                        | ~ ! [SX1: $i,SX2: $i] :
                              ( ~ ( meet @ SX0 @ SX1 @ SX2 )
                              | ( incident_c @ SX0 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[956]) ).

thf(1005,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( incident_c @ ( sK17_P @ SX1 @ SX0 ) @ SX0 )
                  | ~ ( incident_c @ ( sK17_P @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ( ( incident_c @ ( sK17_P @ SX1 @ SX0 ) @ SX0 )
                  | ( incident_c @ ( sK17_P @ SX1 @ SX0 ) @ SX1 ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[967]) ).

thf(1006,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ( ( SX0
                               != ( sK15_Q @ SX1 @ SX0 ) ) )
                          | ~ ( incident_o @ ( sK15_Q @ SX1 @ SX0 ) @ SX1 ) )
                    | ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK15_Q @ SX1 @ SX0 ) ) )
                | ~ ( incident_o @ SX0 @ SX1 )
                | ( start_point @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( start_point @ SX0 @ SX1 )
                      | ! [SX2: $i] :
                          ( ( SX0 = SX2 )
                          | ~ ( incident_o @ SX2 @ SX1 )
                          | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( start_point @ SX0 @ SX1 )
                      | ( incident_o @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[970]) ).

thf(1007,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( SX0 = SX1 )
          | ~ ( open @ SX2 )
          | ~ ( incident_c @ SX0 @ SX2 )
          | ~ ( incident_c @ SX1 @ SX2 )
          | ~ ( ~ ~ ( ~ ! [SX3: $i] :
                          ( ~ ( incident_c @ SX3 @ SX2 )
                          | ( incident_o @ SX3 @ ( sK9_O @ SX2 @ SX1 @ SX0 ) ) )
                    | ~ ! [SX3: $i] :
                          ( ~ ( incident_o @ SX3 @ ( sK9_O @ SX2 @ SX1 @ SX0 ) )
                          | ( incident_c @ SX3 @ SX2 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[976]) ).

thf(1008,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ! [SX4: $i] :
                      ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX4 )
                              | ~ ( incident_o @ ( sK12_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 ) )
                          | ~ ( ( incident_c @ ( sK12_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX4 )
                              | ( incident_o @ ( sK12_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 ) ) )
                      | ~ ( between_c @ SX4 @ SX0 @ SX1 @ SX2 ) )
                  | ( between_o @ SX3 @ SX0 @ SX1 @ SX2 ) )
            | ~ ! [SX2: $i,SX3: $i] :
                  ( ~ ( between_o @ SX3 @ SX0 @ SX1 @ SX2 )
                  | ~ ( ~ ~ ( ~ ! [SX4: $i] :
                                  ( ~ ( incident_c @ SX4 @ ( sK11_C @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                  | ( incident_o @ SX4 @ SX3 ) )
                            | ~ ! [SX4: $i] :
                                  ( ~ ( incident_o @ SX4 @ SX3 )
                                  | ( incident_c @ SX4 @ ( sK11_C @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
                      | ~ ( between_c @ ( sK11_C @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[974]) ).

thf(1009,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
                | ( once @ ( at_the_same_time @ SX1 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( once @ ( at_the_same_time @ SX1 @ SX0 ) )
                | ( once @ ( at_the_same_time @ SX0 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[980]) ).

thf(1010,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SX0 @ SX1 ) @ SX2 ) )
                  | ( once @ ( at_the_same_time @ SX0 @ ( at_the_same_time @ SX1 @ SX2 ) ) ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( once @ ( at_the_same_time @ SX0 @ ( at_the_same_time @ SX1 @ SX2 ) ) )
                  | ( once @ ( at_the_same_time @ ( at_the_same_time @ SX0 @ SX1 ) @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[981]) ).

thf(1011,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) )
                | ( once @ ( at @ SX0 @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( once @ ( at @ SX0 @ SX1 ) )
                | ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[984]) ).

thf(1012,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 )
                | ( open @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( open @ SX0 )
                | ( end_point @ ( sK23_P @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[958]) ).

thf(1013,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( ordered_by @ SX0 @ ( sK7_P @ SX1 @ SX0 ) @ ( sK8_SY124 @ SX1 @ SX0 ) )
                  | ~ ( ordered_by @ SX1 @ ( sK7_P @ SX1 @ SX0 ) @ ( sK8_SY124 @ SX1 @ SX0 ) ) )
              | ~ ( ( ordered_by @ SX0 @ ( sK7_P @ SX1 @ SX0 ) @ ( sK8_SY124 @ SX1 @ SX0 ) )
                  | ( ordered_by @ SX1 @ ( sK7_P @ SX1 @ SX0 ) @ ( sK8_SY124 @ SX1 @ SX0 ) ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[977]) ).

thf(1014,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ! [SX2: $i,SX3: $i] :
                  ( ( SX1 = SX3 )
                  | ! [SX4: $i] :
                      ( ~ ( end_point @ SX1 @ SX4 )
                      | ~ ( part_of @ SX4 @ SX0 )
                      | ~ ( end_point @ SX3 @ SX4 )
                      | ~ ( inner_point @ SX2 @ SX4 ) )
                  | ( between_c @ SX0 @ SX1 @ SX2 @ SX3 ) )
            | ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
                        | ( SX1 != SX3 ) )
                  | ~ ! [SX2: $i,SX3: $i] :
                        ( ~ ( between_c @ SX0 @ SX1 @ SX2 @ SX3 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SX1 @ ( sK16_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                        | ~ ( part_of @ ( sK16_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
                                  | ~ ( end_point @ SX3 @ ( sK16_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                            | ~ ( inner_point @ SX2 @ ( sK16_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[968]) ).

thf(1015,plain,
    ! [SV171: $i] :
      ( ( ! [SY357: $i] :
            ( ( SY357 = SV171 )
            | ~ ( part_of @ SY357 @ SV171 )
            | ( open @ SY357 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[959]) ).

thf(1016,plain,
    ! [SV172: $i] :
      ( ( ! [SY358: $i,SY359: $i,SY360: $i] :
            ( ~ ( part_of @ SY358 @ SV172 )
            | ~ ( part_of @ SY359 @ SV172 )
            | ~ ( part_of @ SY360 @ SV172 )
            | ! [P: $i] :
                ( ~ ( end_point @ P @ SY358 )
                | ~ ( end_point @ P @ SY359 )
                | ~ ( end_point @ P @ SY360 ) )
            | ( part_of @ SY360 @ SY358 )
            | ( part_of @ SY358 @ SY360 )
            | ( part_of @ SY359 @ SY358 )
            | ( part_of @ SY358 @ SY359 )
            | ( part_of @ SY359 @ SY360 )
            | ( part_of @ SY360 @ SY359 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[960]) ).

thf(1017,plain,
    ! [SV173: $i] :
      ( ( inner_point @ ( sK22_P @ SV173 ) @ SV173 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[961]) ).

thf(1018,plain,
    ! [SV174: $i] :
      ( ( ! [SY362: $i,SY363: $i,SY364: $i] :
            ( ~ ( end_point @ SY362 @ SV174 )
            | ~ ( end_point @ SY363 @ SV174 )
            | ~ ( end_point @ SY364 @ SV174 )
            | ( SY363 = SY364 )
            | ( SY362 = SY363 )
            | ( SY362 = SY364 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[963]) ).

thf(1019,plain,
    ! [SV175: $i] :
      ( ( ! [SY365: $i,SY366: $i] :
            ( ~ ( closed @ SV175 )
            | ! [P: $i] :
                ~ ( meet @ P @ SY365 @ SY366 )
            | ( SV175
             != ( sum @ SY365 @ SY366 ) )
            | ! [Q: $i] :
                ( ~ ( end_point @ Q @ SY365 )
                | ( meet @ Q @ SY365 @ SY366 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[965]) ).

thf(1020,plain,
    ! [SV176: $i] :
      ( ( ! [SY369: $i] :
            ( ! [SY370: $i] :
                ~ ( meet @ SY370 @ SV176 @ SY369 )
            | ( ( sK18_C @ SY369 @ SV176 )
              = ( sum @ SV176 @ SY369 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[966]) ).

thf(1021,plain,
    ! [SV177: $i] :
      ( ( start_point @ ( sK10_P @ SV177 ) @ SV177 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[975]) ).

thf(1022,plain,
    ! [SV178: $i] :
      ( ( ~ ( once @ SV178 )
        | ( once @ ( at_the_same_time @ SV178 @ SV178 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[982]) ).

thf(1023,plain,
    ! [SV179: $i] :
      ( ( ( trajectory_of @ SV179 )
        = ( sK5_O @ SV179 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[985]) ).

thf(1024,plain,
    ! [SV180: $i] :
      ( ( ! [SY371: $i,SY372: $i,SY373: $i,SY374: $i,SY375: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SY374 @ SV180 ) @ ( at @ SY375 @ SY371 ) ) )
            | ~ ( once @ ( at_the_same_time @ ( at @ SY374 @ SY372 ) @ ( at @ SY375 @ SY373 ) ) )
            | ~ ( ordered_by @ ( trajectory_of @ SY374 ) @ SV180 @ SY372 )
            | ~ ( ordered_by @ ( trajectory_of @ SY375 ) @ SY373 @ SY371 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[986]) ).

thf(1025,plain,
    ! [SV181: $i] :
      ( ( ~ ( once @ SV181 )
        | ! [SY376: $i] : ( once @ ( at_the_same_time @ SV181 @ ( at @ SY376 @ ( sK4_P @ SY376 @ SV181 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[987]) ).

thf(1026,plain,
    ( ( incident_o @ sK1_P @ ( trajectory_of @ sK3_SY123 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[989]) ).

thf(1027,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( end_point @ ( sK24_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[990]) ).

thf(1028,plain,
    ! [SV182: $i] :
      ( ( ~ ( ~ ! [SY377: $i] :
                  ( ! [SY378: $i] :
                      ~ ( ordered_by @ SV182 @ SY377 @ SY378 )
                  | ( incident_o @ SY377 @ SV182 ) )
            | ~ ! [SY379: $i,SY380: $i] :
                  ( ~ ( ordered_by @ SV182 @ SY379 @ SY380 )
                  | ( incident_o @ SY380 @ SV182 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[991]) ).

thf(1029,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX0 ) )
            | ( part_of @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( part_of @ SX1 @ SX0 )
            | ! [SX2: $i] :
                ( ~ ( incident_c @ SX2 @ SX1 )
                | ( incident_c @ SX2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[992]) ).

thf(1030,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                    | ~ ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                    | ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
            | ( SX0
              = ( underlying_curve @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0
             != ( underlying_curve @ SX1 ) )
            | ~ ( ~ ! [SX2: $i] :
                      ( ~ ( incident_c @ SX2 @ SX0 )
                      | ( incident_o @ SX2 @ SX1 ) )
                | ~ ! [SX2: $i] :
                      ( ~ ( incident_o @ SX2 @ SX1 )
                      | ( incident_c @ SX2 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[993]) ).

thf(1031,plain,
    ! [SV183: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY381: $i] :
                        ( ~ ( incident_c @ SY381 @ ( sK13_C @ SV183 ) )
                        | ( incident_o @ SY381 @ SV183 ) )
                  | ~ ! [SY382: $i] :
                        ( ~ ( incident_o @ SY382 @ SV183 )
                        | ( incident_c @ SY382 @ ( sK13_C @ SV183 ) ) ) )
            | ~ ( open @ ( sK13_C @ SV183 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[994]) ).

thf(1032,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 )
            | ( inner_point @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( inner_point @ SX0 @ SX1 )
                  | ( incident_c @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( inner_point @ SX0 @ SX1 )
                  | ~ ( end_point @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[995]) ).

thf(1033,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SX0
                           != ( sK14_Q @ SX1 @ SX0 ) ) )
                      | ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ~ ( ordered_by @ SX1 @ ( sK14_Q @ SX1 @ SX0 ) @ SX0 ) )
            | ~ ( incident_o @ SX0 @ SX1 )
            | ( finish_point @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( finish_point @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ( SX0 = SX2 )
                      | ~ ( incident_o @ SX2 @ SX1 )
                      | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( finish_point @ SX0 @ SX1 )
                  | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[996]) ).

thf(1034,plain,
    ! [SV184: $i] :
      ( ( ! [SY383: $i] :
            ( ~ ( inner_point @ SY383 @ SV184 )
            | ~ ( ( SV184
                 != ( sum @ ( sK20_C1 @ SY383 @ SV184 ) @ ( sK21_SY131 @ SY383 @ SV184 ) ) )
                | ~ ( meet @ SY383 @ ( sK20_C1 @ SY383 @ SV184 ) @ ( sK21_SY131 @ SY383 @ SV184 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[997]) ).

thf(1035,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK26_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK27_SY132 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ ( sK27_SY132 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ ( sK26_C1 @ SX1 @ SX0 ) ) ) )
            | ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( end_point @ SX0 @ SX1 )
                  | ! [SX2: $i,SX3: $i] :
                      ( ~ ( part_of @ SX2 @ SX1 )
                      | ~ ( part_of @ SX3 @ SX1 )
                      | ~ ( incident_c @ SX0 @ SX2 )
                      | ~ ( incident_c @ SX0 @ SX3 )
                      | ( part_of @ SX2 @ SX3 )
                      | ( part_of @ SX3 @ SX2 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( end_point @ SX0 @ SX1 )
                  | ( incident_c @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[998]) ).

thf(1036,plain,
    ! [SV185: $i] :
      ( ( ~ ( ~ ! [SY384: $i,SY385: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                                | ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY384 ) )
                            | ~ ( ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                                | ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY385 ) ) )
                      | ~ ( ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                          | ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY384 )
                          | ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY385 ) ) )
                  | ( SV185
                    = ( sum @ SY384 @ SY385 ) ) )
            | ~ ! [SY386: $i,SY387: $i] :
                  ( ( SV185
                   != ( sum @ SY386 @ SY387 ) )
                  | ~ ( ~ ! [SY388: $i] :
                            ( ~ ( incident_c @ SY388 @ SV185 )
                            | ( incident_c @ SY388 @ SY386 )
                            | ( incident_c @ SY388 @ SY387 ) )
                      | ~ ~ ( ~ ! [SY389: $i] :
                                  ( ~ ( incident_c @ SY389 @ SY386 )
                                  | ( incident_c @ SY389 @ SV185 ) )
                            | ~ ! [SY390: $i] :
                                  ( ~ ( incident_c @ SY390 @ SY387 )
                                  | ( incident_c @ SY390 @ SV185 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[999]) ).

thf(1037,plain,
    ! [SV186: $i] :
      ( ( ! [SY391: $i] :
            ( ~ ( end_point @ SY391 @ SV186 )
            | ~ ( ~ ( ( SY391
                     != ( sK19_Q @ SY391 @ SV186 ) ) )
                | ~ ( end_point @ ( sK19_Q @ SY391 @ SV186 ) @ SV186 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1000]) ).

thf(1038,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1001]) ).

thf(1039,plain,
    ! [SV187: $i] :
      ( ( ~ ( ~ ! [SY392: $i,SY393: $i] :
                  ( ~ ( connect @ SV187 @ SY392 @ SY393 )
                  | ( once @ ( at_the_same_time @ ( at @ SV187 @ SY393 ) @ ( at @ SY392 @ SY393 ) ) ) )
            | ~ ! [SY394: $i,SY395: $i] :
                  ( ~ ( once @ ( at_the_same_time @ ( at @ SV187 @ SY395 ) @ ( at @ SY394 @ SY395 ) ) )
                  | ( connect @ SV187 @ SY394 @ SY395 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1002]) ).

thf(1040,plain,
    ! [SV188: $i] :
      ( ( ! [SY396: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ! [SY397: $i,SY398: $i] :
                                ( ~ ( between_o @ SV188 @ SY396 @ SY397 @ SY398 )
                                | ( ordered_by @ SV188 @ SY396 @ SY397 )
                                | ( ordered_by @ SV188 @ SY398 @ SY397 ) )
                          | ~ ! [SY399: $i] :
                                ( ! [SY400: $i] :
                                    ~ ( between_o @ SV188 @ SY396 @ SY399 @ SY400 )
                                | ( ordered_by @ SV188 @ SY396 @ SY399 )
                                | ( ordered_by @ SV188 @ SY399 @ SY396 ) ) )
                    | ~ ~ ( ~ ! [SY401: $i,SY402: $i] :
                                ( ~ ( between_o @ SV188 @ SY396 @ SY401 @ SY402 )
                                | ( ordered_by @ SV188 @ SY401 @ SY402 )
                                | ( ordered_by @ SV188 @ SY402 @ SY401 ) )
                          | ~ ! [SY403: $i,SY404: $i] :
                                ( ~ ( between_o @ SV188 @ SY396 @ SY403 @ SY404 )
                                | ( ordered_by @ SV188 @ SY403 @ SY404 )
                                | ( ordered_by @ SV188 @ SY403 @ SY396 ) ) ) )
              | ~ ~ ( ~ ! [SY405: $i,SY406: $i] :
                          ( ~ ( ordered_by @ SV188 @ SY396 @ SY405 )
                          | ~ ( ordered_by @ SV188 @ SY405 @ SY406 )
                          | ( between_o @ SV188 @ SY396 @ SY405 @ SY406 ) )
                    | ~ ! [SY407: $i,SY408: $i] :
                          ( ~ ( ordered_by @ SV188 @ SY408 @ SY407 )
                          | ~ ( ordered_by @ SV188 @ SY407 @ SY396 )
                          | ( between_o @ SV188 @ SY396 @ SY407 @ SY408 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1003]) ).

thf(1041,plain,
    ! [SV189: $i] :
      ( ( ~ ( ~ ! [SY409: $i,SY410: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY409 )
                            | ~ ( incident_c @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY410 ) )
                      | ~ ( ~ ( end_point @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY409 )
                          | ~ ( end_point @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY410 ) ) )
                  | ~ ( incident_c @ SV189 @ SY409 )
                  | ~ ( incident_c @ SV189 @ SY410 )
                  | ( meet @ SV189 @ SY409 @ SY410 ) )
            | ~ ~ ( ~ ! [SY411: $i,SY412: $i] :
                        ( ~ ( meet @ SV189 @ SY411 @ SY412 )
                        | ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY411 )
                                  | ~ ( incident_c @ SX3 @ SY412 )
                                  | ( end_point @ SX3 @ SY411 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY411 )
                                  | ~ ( incident_c @ SX3 @ SY412 )
                                  | ( end_point @ SX3 @ SY412 ) ) ) )
                  | ~ ~ ( ~ ! [SY415: $i] :
                              ( ! [SY416: $i] :
                                  ~ ( meet @ SV189 @ SY415 @ SY416 )
                              | ( incident_c @ SV189 @ SY415 ) )
                        | ~ ! [SY417: $i,SY418: $i] :
                              ( ~ ( meet @ SV189 @ SY417 @ SY418 )
                              | ( incident_c @ SV189 @ SY418 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1004]) ).

thf(1042,plain,
    ! [SV190: $i] :
      ( ( ! [SY419: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK17_P @ SY419 @ SV190 ) @ SV190 )
                    | ~ ( incident_c @ ( sK17_P @ SY419 @ SV190 ) @ SY419 ) )
                | ~ ( ( incident_c @ ( sK17_P @ SY419 @ SV190 ) @ SV190 )
                    | ( incident_c @ ( sK17_P @ SY419 @ SV190 ) @ SY419 ) ) )
            | ( SV190 = SY419 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1005]) ).

thf(1043,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SX0
                           != ( sK15_Q @ SX1 @ SX0 ) ) )
                      | ~ ( incident_o @ ( sK15_Q @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK15_Q @ SX1 @ SX0 ) ) )
            | ~ ( incident_o @ SX0 @ SX1 )
            | ( start_point @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( start_point @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ( SX0 = SX2 )
                      | ~ ( incident_o @ SX2 @ SX1 )
                      | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( start_point @ SX0 @ SX1 )
                  | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1006]) ).

thf(1044,plain,
    ! [SV191: $i] :
      ( ( ! [SY420: $i,SY421: $i] :
            ( ( SV191 = SY420 )
            | ~ ( open @ SY421 )
            | ~ ( incident_c @ SV191 @ SY421 )
            | ~ ( incident_c @ SY420 @ SY421 )
            | ~ ( ~ ~ ( ~ ! [SY422: $i] :
                            ( ~ ( incident_c @ SY422 @ SY421 )
                            | ( incident_o @ SY422 @ ( sK9_O @ SY421 @ SY420 @ SV191 ) ) )
                      | ~ ! [SY423: $i] :
                            ( ~ ( incident_o @ SY423 @ ( sK9_O @ SY421 @ SY420 @ SV191 ) )
                            | ( incident_c @ SY423 @ SY421 ) ) )
                | ~ ( ordered_by @ ( sK9_O @ SY421 @ SY420 @ SV191 ) @ SV191 @ SY420 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1007]) ).

thf(1045,plain,
    ! [SV192: $i] :
      ( ( ! [SY424: $i] :
            ~ ( ~ ! [SY425: $i,SY426: $i] :
                    ( ! [SY427: $i] :
                        ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY427 @ SY426 @ SY425 @ SY424 @ SV192 ) @ SY427 )
                                | ~ ( incident_o @ ( sK12_P @ SY427 @ SY426 @ SY425 @ SY424 @ SV192 ) @ SY426 ) )
                            | ~ ( ( incident_c @ ( sK12_P @ SY427 @ SY426 @ SY425 @ SY424 @ SV192 ) @ SY427 )
                                | ( incident_o @ ( sK12_P @ SY427 @ SY426 @ SY425 @ SY424 @ SV192 ) @ SY426 ) ) )
                        | ~ ( between_c @ SY427 @ SV192 @ SY424 @ SY425 ) )
                    | ( between_o @ SY426 @ SV192 @ SY424 @ SY425 ) )
              | ~ ! [SY428: $i,SY429: $i] :
                    ( ~ ( between_o @ SY429 @ SV192 @ SY424 @ SY428 )
                    | ~ ( ~ ~ ( ~ ! [SY430: $i] :
                                    ( ~ ( incident_c @ SY430 @ ( sK11_C @ SY429 @ SY428 @ SY424 @ SV192 ) )
                                    | ( incident_o @ SY430 @ SY429 ) )
                              | ~ ! [SY431: $i] :
                                    ( ~ ( incident_o @ SY431 @ SY429 )
                                    | ( incident_c @ SY431 @ ( sK11_C @ SY429 @ SY428 @ SY424 @ SV192 ) ) ) )
                        | ~ ( between_c @ ( sK11_C @ SY429 @ SY428 @ SY424 @ SV192 ) @ SV192 @ SY424 @ SY428 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1008]) ).

thf(1046,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ ( at_the_same_time @ SX1 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX1 @ SX0 ) )
            | ( once @ ( at_the_same_time @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1009]) ).

thf(1047,plain,
    ! [SV193: $i] :
      ( ( ~ ( ~ ! [SY432: $i,SY433: $i] :
                  ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SY432 ) @ SY433 ) )
                  | ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SY432 @ SY433 ) ) ) )
            | ~ ! [SY434: $i,SY435: $i] :
                  ( ~ ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SY434 @ SY435 ) ) )
                  | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SY434 ) @ SY435 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1010]) ).

thf(1048,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) )
            | ( once @ ( at @ SX0 @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at @ SX0 @ SX1 ) )
            | ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1011]) ).

thf(1049,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK23_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1012]) ).

thf(1050,plain,
    ! [SV194: $i] :
      ( ( ! [SY436: $i] :
            ( ~ ( ~ ( ~ ( ordered_by @ SV194 @ ( sK7_P @ SY436 @ SV194 ) @ ( sK8_SY124 @ SY436 @ SV194 ) )
                    | ~ ( ordered_by @ SY436 @ ( sK7_P @ SY436 @ SV194 ) @ ( sK8_SY124 @ SY436 @ SV194 ) ) )
                | ~ ( ( ordered_by @ SV194 @ ( sK7_P @ SY436 @ SV194 ) @ ( sK8_SY124 @ SY436 @ SV194 ) )
                    | ( ordered_by @ SY436 @ ( sK7_P @ SY436 @ SV194 ) @ ( sK8_SY124 @ SY436 @ SV194 ) ) ) )
            | ( SV194 = SY436 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1013]) ).

thf(1051,plain,
    ! [SV195: $i] :
      ( ( ! [SY437: $i] :
            ~ ( ~ ! [SY438: $i,SY439: $i] :
                    ( ( SY437 = SY439 )
                    | ! [SY440: $i] :
                        ( ~ ( end_point @ SY437 @ SY440 )
                        | ~ ( part_of @ SY440 @ SV195 )
                        | ~ ( end_point @ SY439 @ SY440 )
                        | ~ ( inner_point @ SY438 @ SY440 ) )
                    | ( between_c @ SV195 @ SY437 @ SY438 @ SY439 ) )
              | ~ ~ ( ~ ! [SY441: $i,SY442: $i] :
                          ( ~ ( between_c @ SV195 @ SY437 @ SY441 @ SY442 )
                          | ( SY437 != SY442 ) )
                    | ~ ! [SY443: $i,SY444: $i] :
                          ( ~ ( between_c @ SV195 @ SY437 @ SY443 @ SY444 )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SY437 @ ( sK16_Cpp @ SY444 @ SY443 @ SY437 @ SV195 ) )
                                          | ~ ( part_of @ ( sK16_Cpp @ SY444 @ SY443 @ SY437 @ SV195 ) @ SV195 ) )
                                    | ~ ( end_point @ SY444 @ ( sK16_Cpp @ SY444 @ SY443 @ SY437 @ SV195 ) ) )
                              | ~ ( inner_point @ SY443 @ ( sK16_Cpp @ SY444 @ SY443 @ SY437 @ SV195 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1014]) ).

thf(1052,plain,
    ! [SV171: $i,SV196: $i] :
      ( ( ( SV196 = SV171 )
        | ~ ( part_of @ SV196 @ SV171 )
        | ( open @ SV196 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1015]) ).

thf(1053,plain,
    ! [SV172: $i,SV197: $i] :
      ( ( ! [SY445: $i,SY446: $i] :
            ( ~ ( part_of @ SV197 @ SV172 )
            | ~ ( part_of @ SY445 @ SV172 )
            | ~ ( part_of @ SY446 @ SV172 )
            | ! [SY447: $i] :
                ( ~ ( end_point @ SY447 @ SV197 )
                | ~ ( end_point @ SY447 @ SY445 )
                | ~ ( end_point @ SY447 @ SY446 ) )
            | ( part_of @ SY446 @ SV197 )
            | ( part_of @ SV197 @ SY446 )
            | ( part_of @ SY445 @ SV197 )
            | ( part_of @ SV197 @ SY445 )
            | ( part_of @ SY445 @ SY446 )
            | ( part_of @ SY446 @ SY445 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1016]) ).

thf(1054,plain,
    ! [SV174: $i,SV198: $i] :
      ( ( ! [SY448: $i,SY449: $i] :
            ( ~ ( end_point @ SV198 @ SV174 )
            | ~ ( end_point @ SY448 @ SV174 )
            | ~ ( end_point @ SY449 @ SV174 )
            | ( SY448 = SY449 )
            | ( SV198 = SY448 )
            | ( SV198 = SY449 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1018]) ).

thf(1055,plain,
    ! [SV199: $i,SV175: $i] :
      ( ( ! [SY450: $i] :
            ( ~ ( closed @ SV175 )
            | ! [SY451: $i] :
                ~ ( meet @ SY451 @ SV199 @ SY450 )
            | ( SV175
             != ( sum @ SV199 @ SY450 ) )
            | ! [SY452: $i] :
                ( ~ ( end_point @ SY452 @ SV199 )
                | ( meet @ SY452 @ SV199 @ SY450 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1019]) ).

thf(1056,plain,
    ! [SV200: $i,SV176: $i] :
      ( ( ! [SY453: $i] :
            ~ ( meet @ SY453 @ SV176 @ SV200 )
        | ( ( sK18_C @ SV200 @ SV176 )
          = ( sum @ SV176 @ SV200 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1020]) ).

thf(1057,plain,
    ! [SV178: $i] :
      ( ( ( ~ ( once @ SV178 ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ SV178 @ SV178 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1022]) ).

thf(1058,plain,
    ! [SV201: $i,SV180: $i] :
      ( ( ! [SY454: $i,SY455: $i,SY456: $i,SY457: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SY456 @ SV180 ) @ ( at @ SY457 @ SV201 ) ) )
            | ~ ( once @ ( at_the_same_time @ ( at @ SY456 @ SY454 ) @ ( at @ SY457 @ SY455 ) ) )
            | ~ ( ordered_by @ ( trajectory_of @ SY456 ) @ SV180 @ SY454 )
            | ~ ( ordered_by @ ( trajectory_of @ SY457 ) @ SY455 @ SV201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1024]) ).

thf(1059,plain,
    ! [SV181: $i] :
      ( ( ( ~ ( once @ SV181 ) )
        = $true )
      | ( ( ! [SY376: $i] : ( once @ ( at_the_same_time @ SV181 @ ( at @ SY376 @ ( sK4_P @ SY376 @ SV181 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1025]) ).

thf(1060,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1027]) ).

thf(1061,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( end_point @ ( sK24_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1027]) ).

thf(1062,plain,
    ! [SV182: $i] :
      ( ( ~ ! [SY377: $i] :
              ( ! [SY378: $i] :
                  ~ ( ordered_by @ SV182 @ SY377 @ SY378 )
              | ( incident_o @ SY377 @ SV182 ) )
        | ~ ! [SY379: $i,SY380: $i] :
              ( ~ ( ordered_by @ SV182 @ SY379 @ SY380 )
              | ( incident_o @ SY380 @ SV182 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1028]) ).

thf(1063,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX0 ) )
            | ( part_of @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1029]) ).

thf(1064,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( part_of @ SX1 @ SX0 )
            | ! [SX2: $i] :
                ( ~ ( incident_c @ SX2 @ SX1 )
                | ( incident_c @ SX2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1029]) ).

thf(1065,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                    | ~ ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                    | ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
            | ( SX0
              = ( underlying_curve @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1030]) ).

thf(1066,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0
             != ( underlying_curve @ SX1 ) )
            | ~ ( ~ ! [SX2: $i] :
                      ( ~ ( incident_c @ SX2 @ SX0 )
                      | ( incident_o @ SX2 @ SX1 ) )
                | ~ ! [SX2: $i] :
                      ( ~ ( incident_o @ SX2 @ SX1 )
                      | ( incident_c @ SX2 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1030]) ).

thf(1067,plain,
    ! [SV183: $i] :
      ( ( ~ ~ ( ~ ! [SY381: $i] :
                    ( ~ ( incident_c @ SY381 @ ( sK13_C @ SV183 ) )
                    | ( incident_o @ SY381 @ SV183 ) )
              | ~ ! [SY382: $i] :
                    ( ~ ( incident_o @ SY382 @ SV183 )
                    | ( incident_c @ SY382 @ ( sK13_C @ SV183 ) ) ) )
        | ~ ( open @ ( sK13_C @ SV183 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1031]) ).

thf(1068,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 )
            | ( inner_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1032]) ).

thf(1069,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( inner_point @ SX0 @ SX1 )
                  | ( incident_c @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( inner_point @ SX0 @ SX1 )
                  | ~ ( end_point @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1032]) ).

thf(1070,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SX0
                           != ( sK14_Q @ SX1 @ SX0 ) ) )
                      | ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ~ ( ordered_by @ SX1 @ ( sK14_Q @ SX1 @ SX0 ) @ SX0 ) )
            | ~ ( incident_o @ SX0 @ SX1 )
            | ( finish_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1033]) ).

thf(1071,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( finish_point @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ( SX0 = SX2 )
                      | ~ ( incident_o @ SX2 @ SX1 )
                      | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( finish_point @ SX0 @ SX1 )
                  | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1033]) ).

thf(1072,plain,
    ! [SV184: $i,SV202: $i] :
      ( ( ~ ( inner_point @ SV202 @ SV184 )
        | ~ ( ( SV184
             != ( sum @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) )
            | ~ ( meet @ SV202 @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1034]) ).

thf(1073,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK26_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK27_SY132 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ ( sK27_SY132 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ ( sK26_C1 @ SX1 @ SX0 ) ) ) )
            | ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1035]) ).

thf(1074,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( end_point @ SX0 @ SX1 )
                  | ! [SX2: $i,SX3: $i] :
                      ( ~ ( part_of @ SX2 @ SX1 )
                      | ~ ( part_of @ SX3 @ SX1 )
                      | ~ ( incident_c @ SX0 @ SX2 )
                      | ~ ( incident_c @ SX0 @ SX3 )
                      | ( part_of @ SX2 @ SX3 )
                      | ( part_of @ SX3 @ SX2 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( end_point @ SX0 @ SX1 )
                  | ( incident_c @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1035]) ).

thf(1075,plain,
    ! [SV185: $i] :
      ( ( ~ ! [SY384: $i,SY385: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                            | ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY384 ) )
                        | ~ ( ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                            | ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY385 ) ) )
                  | ~ ( ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                      | ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY384 )
                      | ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY385 ) ) )
              | ( SV185
                = ( sum @ SY384 @ SY385 ) ) )
        | ~ ! [SY386: $i,SY387: $i] :
              ( ( SV185
               != ( sum @ SY386 @ SY387 ) )
              | ~ ( ~ ! [SY388: $i] :
                        ( ~ ( incident_c @ SY388 @ SV185 )
                        | ( incident_c @ SY388 @ SY386 )
                        | ( incident_c @ SY388 @ SY387 ) )
                  | ~ ~ ( ~ ! [SY389: $i] :
                              ( ~ ( incident_c @ SY389 @ SY386 )
                              | ( incident_c @ SY389 @ SV185 ) )
                        | ~ ! [SY390: $i] :
                              ( ~ ( incident_c @ SY390 @ SY387 )
                              | ( incident_c @ SY390 @ SV185 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1036]) ).

thf(1076,plain,
    ! [SV186: $i,SV203: $i] :
      ( ( ~ ( end_point @ SV203 @ SV186 )
        | ~ ( ~ ( ( SV203
                 != ( sK19_Q @ SV203 @ SV186 ) ) )
            | ~ ( end_point @ ( sK19_Q @ SV203 @ SV186 ) @ SV186 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1037]) ).

thf(1077,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1038]) ).

thf(1078,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1038]) ).

thf(1079,plain,
    ! [SV187: $i] :
      ( ( ~ ! [SY392: $i,SY393: $i] :
              ( ~ ( connect @ SV187 @ SY392 @ SY393 )
              | ( once @ ( at_the_same_time @ ( at @ SV187 @ SY393 ) @ ( at @ SY392 @ SY393 ) ) ) )
        | ~ ! [SY394: $i,SY395: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at @ SV187 @ SY395 ) @ ( at @ SY394 @ SY395 ) ) )
              | ( connect @ SV187 @ SY394 @ SY395 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1039]) ).

thf(1080,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY458: $i,SY459: $i] :
                              ( ~ ( between_o @ SV188 @ SV204 @ SY458 @ SY459 )
                              | ( ordered_by @ SV188 @ SV204 @ SY458 )
                              | ( ordered_by @ SV188 @ SY459 @ SY458 ) )
                        | ~ ! [SY460: $i] :
                              ( ! [SY461: $i] :
                                  ~ ( between_o @ SV188 @ SV204 @ SY460 @ SY461 )
                              | ( ordered_by @ SV188 @ SV204 @ SY460 )
                              | ( ordered_by @ SV188 @ SY460 @ SV204 ) ) )
                  | ~ ~ ( ~ ! [SY462: $i,SY463: $i] :
                              ( ~ ( between_o @ SV188 @ SV204 @ SY462 @ SY463 )
                              | ( ordered_by @ SV188 @ SY462 @ SY463 )
                              | ( ordered_by @ SV188 @ SY463 @ SY462 ) )
                        | ~ ! [SY464: $i,SY465: $i] :
                              ( ~ ( between_o @ SV188 @ SV204 @ SY464 @ SY465 )
                              | ( ordered_by @ SV188 @ SY464 @ SY465 )
                              | ( ordered_by @ SV188 @ SY464 @ SV204 ) ) ) )
            | ~ ~ ( ~ ! [SY466: $i,SY467: $i] :
                        ( ~ ( ordered_by @ SV188 @ SV204 @ SY466 )
                        | ~ ( ordered_by @ SV188 @ SY466 @ SY467 )
                        | ( between_o @ SV188 @ SV204 @ SY466 @ SY467 ) )
                  | ~ ! [SY468: $i,SY469: $i] :
                        ( ~ ( ordered_by @ SV188 @ SY469 @ SY468 )
                        | ~ ( ordered_by @ SV188 @ SY468 @ SV204 )
                        | ( between_o @ SV188 @ SV204 @ SY468 @ SY469 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1040]) ).

thf(1081,plain,
    ! [SV189: $i] :
      ( ( ~ ! [SY409: $i,SY410: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY409 )
                        | ~ ( incident_c @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY410 ) )
                  | ~ ( ~ ( end_point @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY409 )
                      | ~ ( end_point @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY410 ) ) )
              | ~ ( incident_c @ SV189 @ SY409 )
              | ~ ( incident_c @ SV189 @ SY410 )
              | ( meet @ SV189 @ SY409 @ SY410 ) )
        | ~ ~ ( ~ ! [SY411: $i,SY412: $i] :
                    ( ~ ( meet @ SV189 @ SY411 @ SY412 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY411 )
                              | ~ ( incident_c @ SX3 @ SY412 )
                              | ( end_point @ SX3 @ SY411 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY411 )
                              | ~ ( incident_c @ SX3 @ SY412 )
                              | ( end_point @ SX3 @ SY412 ) ) ) )
              | ~ ~ ( ~ ! [SY415: $i] :
                          ( ! [SY416: $i] :
                              ~ ( meet @ SV189 @ SY415 @ SY416 )
                          | ( incident_c @ SV189 @ SY415 ) )
                    | ~ ! [SY417: $i,SY418: $i] :
                          ( ~ ( meet @ SV189 @ SY417 @ SY418 )
                          | ( incident_c @ SV189 @ SY418 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1041]) ).

thf(1082,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ~ ( ~ ( ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
                | ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) )
            | ~ ( ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
                | ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) ) )
        | ( SV190 = SV205 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1042]) ).

thf(1083,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SX0
                           != ( sK15_Q @ SX1 @ SX0 ) ) )
                      | ~ ( incident_o @ ( sK15_Q @ SX1 @ SX0 ) @ SX1 ) )
                | ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK15_Q @ SX1 @ SX0 ) ) )
            | ~ ( incident_o @ SX0 @ SX1 )
            | ( start_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1043]) ).

thf(1084,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( start_point @ SX0 @ SX1 )
                  | ! [SX2: $i] :
                      ( ( SX0 = SX2 )
                      | ~ ( incident_o @ SX2 @ SX1 )
                      | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( start_point @ SX0 @ SX1 )
                  | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1043]) ).

thf(1085,plain,
    ! [SV206: $i,SV191: $i] :
      ( ( ! [SY470: $i] :
            ( ( SV191 = SV206 )
            | ~ ( open @ SY470 )
            | ~ ( incident_c @ SV191 @ SY470 )
            | ~ ( incident_c @ SV206 @ SY470 )
            | ~ ( ~ ~ ( ~ ! [SY471: $i] :
                            ( ~ ( incident_c @ SY471 @ SY470 )
                            | ( incident_o @ SY471 @ ( sK9_O @ SY470 @ SV206 @ SV191 ) ) )
                      | ~ ! [SY472: $i] :
                            ( ~ ( incident_o @ SY472 @ ( sK9_O @ SY470 @ SV206 @ SV191 ) )
                            | ( incident_c @ SY472 @ SY470 ) ) )
                | ~ ( ordered_by @ ( sK9_O @ SY470 @ SV206 @ SV191 ) @ SV191 @ SV206 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1044]) ).

thf(1086,plain,
    ! [SV192: $i,SV207: $i] :
      ( ( ~ ( ~ ! [SY473: $i,SY474: $i] :
                  ( ! [SY475: $i] :
                      ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY475 )
                              | ~ ( incident_o @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY474 ) )
                          | ~ ( ( incident_c @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY475 )
                              | ( incident_o @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY474 ) ) )
                      | ~ ( between_c @ SY475 @ SV192 @ SV207 @ SY473 ) )
                  | ( between_o @ SY474 @ SV192 @ SV207 @ SY473 ) )
            | ~ ! [SY476: $i,SY477: $i] :
                  ( ~ ( between_o @ SY477 @ SV192 @ SV207 @ SY476 )
                  | ~ ( ~ ~ ( ~ ! [SY478: $i] :
                                  ( ~ ( incident_c @ SY478 @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) )
                                  | ( incident_o @ SY478 @ SY477 ) )
                            | ~ ! [SY479: $i] :
                                  ( ~ ( incident_o @ SY479 @ SY477 )
                                  | ( incident_c @ SY479 @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) ) ) )
                      | ~ ( between_c @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SY476 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1045]) ).

thf(1087,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
            | ( once @ ( at_the_same_time @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1046]) ).

thf(1088,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at_the_same_time @ SX1 @ SX0 ) )
            | ( once @ ( at_the_same_time @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1046]) ).

thf(1089,plain,
    ! [SV193: $i] :
      ( ( ~ ! [SY432: $i,SY433: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SY432 ) @ SY433 ) )
              | ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SY432 @ SY433 ) ) ) )
        | ~ ! [SY434: $i,SY435: $i] :
              ( ~ ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SY434 @ SY435 ) ) )
              | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SY434 ) @ SY435 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1047]) ).

thf(1090,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) )
            | ( once @ ( at @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1048]) ).

thf(1091,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( once @ ( at @ SX0 @ SX1 ) )
            | ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1048]) ).

thf(1092,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1049]) ).

thf(1093,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK23_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1049]) ).

thf(1094,plain,
    ! [SV208: $i,SV194: $i] :
      ( ( ~ ( ~ ( ~ ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
                | ~ ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) )
            | ~ ( ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
                | ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) ) )
        | ( SV194 = SV208 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1050]) ).

thf(1095,plain,
    ! [SV195: $i,SV209: $i] :
      ( ( ~ ( ~ ! [SY480: $i,SY481: $i] :
                  ( ( SV209 = SY481 )
                  | ! [SY482: $i] :
                      ( ~ ( end_point @ SV209 @ SY482 )
                      | ~ ( part_of @ SY482 @ SV195 )
                      | ~ ( end_point @ SY481 @ SY482 )
                      | ~ ( inner_point @ SY480 @ SY482 ) )
                  | ( between_c @ SV195 @ SV209 @ SY480 @ SY481 ) )
            | ~ ~ ( ~ ! [SY483: $i,SY484: $i] :
                        ( ~ ( between_c @ SV195 @ SV209 @ SY483 @ SY484 )
                        | ( SV209 != SY484 ) )
                  | ~ ! [SY485: $i,SY486: $i] :
                        ( ~ ( between_c @ SV195 @ SV209 @ SY485 @ SY486 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) )
                                        | ~ ( part_of @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) @ SV195 ) )
                                  | ~ ( end_point @ SY486 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) )
                            | ~ ( inner_point @ SY485 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1051]) ).

thf(1096,plain,
    ! [SV171: $i,SV196: $i] :
      ( ( ( ( SV196 = SV171 )
          | ~ ( part_of @ SV196 @ SV171 ) )
        = $true )
      | ( ( open @ SV196 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1052]) ).

thf(1097,plain,
    ! [SV210: $i,SV172: $i,SV197: $i] :
      ( ( ! [SY487: $i] :
            ( ~ ( part_of @ SV197 @ SV172 )
            | ~ ( part_of @ SV210 @ SV172 )
            | ~ ( part_of @ SY487 @ SV172 )
            | ! [SY488: $i] :
                ( ~ ( end_point @ SY488 @ SV197 )
                | ~ ( end_point @ SY488 @ SV210 )
                | ~ ( end_point @ SY488 @ SY487 ) )
            | ( part_of @ SY487 @ SV197 )
            | ( part_of @ SV197 @ SY487 )
            | ( part_of @ SV210 @ SV197 )
            | ( part_of @ SV197 @ SV210 )
            | ( part_of @ SV210 @ SY487 )
            | ( part_of @ SY487 @ SV210 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1053]) ).

thf(1098,plain,
    ! [SV211: $i,SV174: $i,SV198: $i] :
      ( ( ! [SY489: $i] :
            ( ~ ( end_point @ SV198 @ SV174 )
            | ~ ( end_point @ SV211 @ SV174 )
            | ~ ( end_point @ SY489 @ SV174 )
            | ( SV211 = SY489 )
            | ( SV198 = SV211 )
            | ( SV198 = SY489 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1054]) ).

thf(1099,plain,
    ! [SV212: $i,SV199: $i,SV175: $i] :
      ( ( ~ ( closed @ SV175 )
        | ! [SY490: $i] :
            ~ ( meet @ SY490 @ SV199 @ SV212 )
        | ( SV175
         != ( sum @ SV199 @ SV212 ) )
        | ! [SY491: $i] :
            ( ~ ( end_point @ SY491 @ SV199 )
            | ( meet @ SY491 @ SV199 @ SV212 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1055]) ).

thf(1100,plain,
    ! [SV200: $i,SV176: $i] :
      ( ( ( ! [SY453: $i] :
              ~ ( meet @ SY453 @ SV176 @ SV200 ) )
        = $true )
      | ( ( ( sK18_C @ SV200 @ SV176 )
          = ( sum @ SV176 @ SV200 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1056]) ).

thf(1101,plain,
    ! [SV178: $i] :
      ( ( ( once @ SV178 )
        = $false )
      | ( ( once @ ( at_the_same_time @ SV178 @ SV178 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1057]) ).

thf(1102,plain,
    ! [SV213: $i,SV201: $i,SV180: $i] :
      ( ( ! [SY492: $i,SY493: $i,SY494: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SY493 @ SV180 ) @ ( at @ SY494 @ SV201 ) ) )
            | ~ ( once @ ( at_the_same_time @ ( at @ SY493 @ SV213 ) @ ( at @ SY494 @ SY492 ) ) )
            | ~ ( ordered_by @ ( trajectory_of @ SY493 ) @ SV180 @ SV213 )
            | ~ ( ordered_by @ ( trajectory_of @ SY494 ) @ SY492 @ SV201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1058]) ).

thf(1103,plain,
    ! [SV181: $i] :
      ( ( ( once @ SV181 )
        = $false )
      | ( ( ! [SY376: $i] : ( once @ ( at_the_same_time @ SV181 @ ( at @ SY376 @ ( sK4_P @ SY376 @ SV181 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1059]) ).

thf(1104,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( closed @ SX0 )
          | ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1060]) ).

thf(1105,plain,
    ( ( ! [SX0: $i] :
          ( ( end_point @ ( sK24_P @ SX0 ) @ SX0 )
          | ( closed @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1061]) ).

thf(1106,plain,
    ! [SV182: $i] :
      ( ( ~ ! [SY377: $i] :
              ( ! [SY378: $i] :
                  ~ ( ordered_by @ SV182 @ SY377 @ SY378 )
              | ( incident_o @ SY377 @ SV182 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1062]) ).

thf(1107,plain,
    ! [SV182: $i] :
      ( ( ~ ! [SY379: $i,SY380: $i] :
              ( ~ ( ordered_by @ SV182 @ SY379 @ SY380 )
              | ( incident_o @ SY380 @ SV182 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1062]) ).

thf(1108,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX1 )
              | ~ ~ ( incident_c @ ( sK29_P @ SX1 @ SX0 ) @ SX0 ) )
          | ( part_of @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1063]) ).

thf(1109,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( part_of @ SX1 @ SX0 )
          | ! [SX2: $i] :
              ( ~ ( incident_c @ SX2 @ SX1 )
              | ( incident_c @ SX2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1064]) ).

thf(1110,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ~ ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ( incident_o @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
          | ( SX0
            = ( underlying_curve @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1065]) ).

thf(1111,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0
           != ( underlying_curve @ SX1 ) )
          | ~ ( ~ ! [SX2: $i] :
                    ( ~ ( incident_c @ SX2 @ SX0 )
                    | ( incident_o @ SX2 @ SX1 ) )
              | ~ ! [SX2: $i] :
                    ( ~ ( incident_o @ SX2 @ SX1 )
                    | ( incident_c @ SX2 @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1066]) ).

thf(1112,plain,
    ! [SV183: $i] :
      ( ( ~ ~ ( ~ ! [SY381: $i] :
                    ( ~ ( incident_c @ SY381 @ ( sK13_C @ SV183 ) )
                    | ( incident_o @ SY381 @ SV183 ) )
              | ~ ! [SY382: $i] :
                    ( ~ ( incident_o @ SY382 @ SV183 )
                    | ( incident_c @ SY382 @ ( sK13_C @ SV183 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1067]) ).

thf(1113,plain,
    ! [SV183: $i] :
      ( ( ~ ( open @ ( sK13_C @ SV183 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1067]) ).

thf(1114,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 )
          | ( inner_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1068]) ).

thf(1115,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( inner_point @ SX0 @ SX1 )
                | ( incident_c @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( inner_point @ SX0 @ SX1 )
                | ~ ( end_point @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1069]) ).

thf(1116,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ( ( SX0
                         != ( sK14_Q @ SX1 @ SX0 ) ) )
                    | ~ ( incident_o @ ( sK14_Q @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ~ ( ordered_by @ SX1 @ ( sK14_Q @ SX1 @ SX0 ) @ SX0 ) )
          | ~ ( incident_o @ SX0 @ SX1 )
          | ( finish_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1070]) ).

thf(1117,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( finish_point @ SX0 @ SX1 )
                | ! [SX2: $i] :
                    ( ( SX0 = SX2 )
                    | ~ ( incident_o @ SX2 @ SX1 )
                    | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( finish_point @ SX0 @ SX1 )
                | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1071]) ).

thf(1118,plain,
    ! [SV184: $i,SV202: $i] :
      ( ( ( ~ ( inner_point @ SV202 @ SV184 ) )
        = $true )
      | ( ( ~ ( ( SV184
               != ( sum @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) )
              | ~ ( meet @ SV202 @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1072]) ).

thf(1119,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ SX1 )
                                | ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ SX1 ) )
                          | ~ ( incident_c @ SX0 @ ( sK26_C1 @ SX1 @ SX0 ) ) )
                    | ~ ( incident_c @ SX0 @ ( sK27_SY132 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SX1 @ SX0 ) @ ( sK27_SY132 @ SX1 @ SX0 ) )
                    | ~ ~ ( part_of @ ( sK27_SY132 @ SX1 @ SX0 ) @ ( sK26_C1 @ SX1 @ SX0 ) ) ) )
          | ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1073]) ).

thf(1120,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( end_point @ SX0 @ SX1 )
                | ! [SX2: $i,SX3: $i] :
                    ( ~ ( part_of @ SX2 @ SX1 )
                    | ~ ( part_of @ SX3 @ SX1 )
                    | ~ ( incident_c @ SX0 @ SX2 )
                    | ~ ( incident_c @ SX0 @ SX3 )
                    | ( part_of @ SX2 @ SX3 )
                    | ( part_of @ SX3 @ SX2 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( end_point @ SX0 @ SX1 )
                | ( incident_c @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1074]) ).

thf(1121,plain,
    ! [SV185: $i] :
      ( ( ~ ! [SY384: $i,SY385: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                            | ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY384 ) )
                        | ~ ( ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                            | ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY385 ) ) )
                  | ~ ( ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                      | ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY384 )
                      | ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY385 ) ) )
              | ( SV185
                = ( sum @ SY384 @ SY385 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1075]) ).

thf(1122,plain,
    ! [SV185: $i] :
      ( ( ~ ! [SY386: $i,SY387: $i] :
              ( ( SV185
               != ( sum @ SY386 @ SY387 ) )
              | ~ ( ~ ! [SY388: $i] :
                        ( ~ ( incident_c @ SY388 @ SV185 )
                        | ( incident_c @ SY388 @ SY386 )
                        | ( incident_c @ SY388 @ SY387 ) )
                  | ~ ~ ( ~ ! [SY389: $i] :
                              ( ~ ( incident_c @ SY389 @ SY386 )
                              | ( incident_c @ SY389 @ SV185 ) )
                        | ~ ! [SY390: $i] :
                              ( ~ ( incident_c @ SY390 @ SY387 )
                              | ( incident_c @ SY390 @ SV185 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1075]) ).

thf(1123,plain,
    ! [SV186: $i,SV203: $i] :
      ( ( ( ~ ( end_point @ SV203 @ SV186 ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV203
                   != ( sK19_Q @ SV203 @ SV186 ) ) )
              | ~ ( end_point @ ( sK19_Q @ SV203 @ SV186 ) @ SV186 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1076]) ).

thf(1124,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
          | ( once @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1077]) ).

thf(1125,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
          | ( once @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1078]) ).

thf(1126,plain,
    ! [SV187: $i] :
      ( ( ~ ! [SY392: $i,SY393: $i] :
              ( ~ ( connect @ SV187 @ SY392 @ SY393 )
              | ( once @ ( at_the_same_time @ ( at @ SV187 @ SY393 ) @ ( at @ SY392 @ SY393 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1079]) ).

thf(1127,plain,
    ! [SV187: $i] :
      ( ( ~ ! [SY394: $i,SY395: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at @ SV187 @ SY395 ) @ ( at @ SY394 @ SY395 ) ) )
              | ( connect @ SV187 @ SY394 @ SY395 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1079]) ).

thf(1128,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY458: $i,SY459: $i] :
                          ( ~ ( between_o @ SV188 @ SV204 @ SY458 @ SY459 )
                          | ( ordered_by @ SV188 @ SV204 @ SY458 )
                          | ( ordered_by @ SV188 @ SY459 @ SY458 ) )
                    | ~ ! [SY460: $i] :
                          ( ! [SY461: $i] :
                              ~ ( between_o @ SV188 @ SV204 @ SY460 @ SY461 )
                          | ( ordered_by @ SV188 @ SV204 @ SY460 )
                          | ( ordered_by @ SV188 @ SY460 @ SV204 ) ) )
              | ~ ~ ( ~ ! [SY462: $i,SY463: $i] :
                          ( ~ ( between_o @ SV188 @ SV204 @ SY462 @ SY463 )
                          | ( ordered_by @ SV188 @ SY462 @ SY463 )
                          | ( ordered_by @ SV188 @ SY463 @ SY462 ) )
                    | ~ ! [SY464: $i,SY465: $i] :
                          ( ~ ( between_o @ SV188 @ SV204 @ SY464 @ SY465 )
                          | ( ordered_by @ SV188 @ SY464 @ SY465 )
                          | ( ordered_by @ SV188 @ SY464 @ SV204 ) ) ) )
        | ~ ~ ( ~ ! [SY466: $i,SY467: $i] :
                    ( ~ ( ordered_by @ SV188 @ SV204 @ SY466 )
                    | ~ ( ordered_by @ SV188 @ SY466 @ SY467 )
                    | ( between_o @ SV188 @ SV204 @ SY466 @ SY467 ) )
              | ~ ! [SY468: $i,SY469: $i] :
                    ( ~ ( ordered_by @ SV188 @ SY469 @ SY468 )
                    | ~ ( ordered_by @ SV188 @ SY468 @ SV204 )
                    | ( between_o @ SV188 @ SV204 @ SY468 @ SY469 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1080]) ).

thf(1129,plain,
    ! [SV189: $i] :
      ( ( ~ ! [SY409: $i,SY410: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY409 )
                        | ~ ( incident_c @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY410 ) )
                  | ~ ( ~ ( end_point @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY409 )
                      | ~ ( end_point @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY410 ) ) )
              | ~ ( incident_c @ SV189 @ SY409 )
              | ~ ( incident_c @ SV189 @ SY410 )
              | ( meet @ SV189 @ SY409 @ SY410 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1081]) ).

thf(1130,plain,
    ! [SV189: $i] :
      ( ( ~ ~ ( ~ ! [SY411: $i,SY412: $i] :
                    ( ~ ( meet @ SV189 @ SY411 @ SY412 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY411 )
                              | ~ ( incident_c @ SX3 @ SY412 )
                              | ( end_point @ SX3 @ SY411 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY411 )
                              | ~ ( incident_c @ SX3 @ SY412 )
                              | ( end_point @ SX3 @ SY412 ) ) ) )
              | ~ ~ ( ~ ! [SY415: $i] :
                          ( ! [SY416: $i] :
                              ~ ( meet @ SV189 @ SY415 @ SY416 )
                          | ( incident_c @ SV189 @ SY415 ) )
                    | ~ ! [SY417: $i,SY418: $i] :
                          ( ~ ( meet @ SV189 @ SY417 @ SY418 )
                          | ( incident_c @ SV189 @ SY418 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1081]) ).

thf(1131,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
                  | ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) )
              | ~ ( ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
                  | ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) ) ) )
        = $true )
      | ( ( SV190 = SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1082]) ).

thf(1132,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ( ( SX0
                         != ( sK15_Q @ SX1 @ SX0 ) ) )
                    | ~ ( incident_o @ ( sK15_Q @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ~ ( ordered_by @ SX1 @ SX0 @ ( sK15_Q @ SX1 @ SX0 ) ) )
          | ~ ( incident_o @ SX0 @ SX1 )
          | ( start_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1083]) ).

thf(1133,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( start_point @ SX0 @ SX1 )
                | ! [SX2: $i] :
                    ( ( SX0 = SX2 )
                    | ~ ( incident_o @ SX2 @ SX1 )
                    | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( start_point @ SX0 @ SX1 )
                | ( incident_o @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1084]) ).

thf(1134,plain,
    ! [SV214: $i,SV206: $i,SV191: $i] :
      ( ( ( SV191 = SV206 )
        | ~ ( open @ SV214 )
        | ~ ( incident_c @ SV191 @ SV214 )
        | ~ ( incident_c @ SV206 @ SV214 )
        | ~ ( ~ ~ ( ~ ! [SY495: $i] :
                        ( ~ ( incident_c @ SY495 @ SV214 )
                        | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
                  | ~ ! [SY496: $i] :
                        ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                        | ( incident_c @ SY496 @ SV214 ) ) )
            | ~ ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1085]) ).

thf(1135,plain,
    ! [SV192: $i,SV207: $i] :
      ( ( ~ ! [SY473: $i,SY474: $i] :
              ( ! [SY475: $i] :
                  ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY475 )
                          | ~ ( incident_o @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY474 ) )
                      | ~ ( ( incident_c @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY475 )
                          | ( incident_o @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY474 ) ) )
                  | ~ ( between_c @ SY475 @ SV192 @ SV207 @ SY473 ) )
              | ( between_o @ SY474 @ SV192 @ SV207 @ SY473 ) )
        | ~ ! [SY476: $i,SY477: $i] :
              ( ~ ( between_o @ SY477 @ SV192 @ SV207 @ SY476 )
              | ~ ( ~ ~ ( ~ ! [SY478: $i] :
                              ( ~ ( incident_c @ SY478 @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) )
                              | ( incident_o @ SY478 @ SY477 ) )
                        | ~ ! [SY479: $i] :
                              ( ~ ( incident_o @ SY479 @ SY477 )
                              | ( incident_c @ SY479 @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) ) ) )
                  | ~ ( between_c @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SY476 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1086]) ).

thf(1136,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( once @ ( at_the_same_time @ SX0 @ SX1 ) )
          | ( once @ ( at_the_same_time @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1087]) ).

thf(1137,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( once @ ( at_the_same_time @ SX1 @ SX0 ) )
          | ( once @ ( at_the_same_time @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1088]) ).

thf(1138,plain,
    ! [SV193: $i] :
      ( ( ~ ! [SY432: $i,SY433: $i] :
              ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SY432 ) @ SY433 ) )
              | ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SY432 @ SY433 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1089]) ).

thf(1139,plain,
    ! [SV193: $i] :
      ( ( ~ ! [SY434: $i,SY435: $i] :
              ( ~ ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SY434 @ SY435 ) ) )
              | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SY434 ) @ SY435 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1089]) ).

thf(1140,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) )
          | ( once @ ( at @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1090]) ).

thf(1141,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( once @ ( at @ SX0 @ SX1 ) )
          | ( incident_o @ SX1 @ ( trajectory_of @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1091]) ).

thf(1142,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 )
          | ( open @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1092]) ).

thf(1143,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( open @ SX0 )
          | ( end_point @ ( sK23_P @ SX0 ) @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1093]) ).

thf(1144,plain,
    ! [SV208: $i,SV194: $i] :
      ( ( ( ~ ( ~ ( ~ ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
                  | ~ ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) )
              | ~ ( ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
                  | ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) ) ) )
        = $true )
      | ( ( SV194 = SV208 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1094]) ).

thf(1145,plain,
    ! [SV195: $i,SV209: $i] :
      ( ( ~ ! [SY480: $i,SY481: $i] :
              ( ( SV209 = SY481 )
              | ! [SY482: $i] :
                  ( ~ ( end_point @ SV209 @ SY482 )
                  | ~ ( part_of @ SY482 @ SV195 )
                  | ~ ( end_point @ SY481 @ SY482 )
                  | ~ ( inner_point @ SY480 @ SY482 ) )
              | ( between_c @ SV195 @ SV209 @ SY480 @ SY481 ) )
        | ~ ~ ( ~ ! [SY483: $i,SY484: $i] :
                    ( ~ ( between_c @ SV195 @ SV209 @ SY483 @ SY484 )
                    | ( SV209 != SY484 ) )
              | ~ ! [SY485: $i,SY486: $i] :
                    ( ~ ( between_c @ SV195 @ SV209 @ SY485 @ SY486 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) )
                                    | ~ ( part_of @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) @ SV195 ) )
                              | ~ ( end_point @ SY486 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) )
                        | ~ ( inner_point @ SY485 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1095]) ).

thf(1146,plain,
    ! [SV171: $i,SV196: $i] :
      ( ( ( SV196 = SV171 )
        = $true )
      | ( ( ~ ( part_of @ SV196 @ SV171 ) )
        = $true )
      | ( ( open @ SV196 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1096]) ).

thf(1147,plain,
    ! [SV215: $i,SV210: $i,SV172: $i,SV197: $i] :
      ( ( ~ ( part_of @ SV197 @ SV172 )
        | ~ ( part_of @ SV210 @ SV172 )
        | ~ ( part_of @ SV215 @ SV172 )
        | ! [SY497: $i] :
            ( ~ ( end_point @ SY497 @ SV197 )
            | ~ ( end_point @ SY497 @ SV210 )
            | ~ ( end_point @ SY497 @ SV215 ) )
        | ( part_of @ SV215 @ SV197 )
        | ( part_of @ SV197 @ SV215 )
        | ( part_of @ SV210 @ SV197 )
        | ( part_of @ SV197 @ SV210 )
        | ( part_of @ SV210 @ SV215 )
        | ( part_of @ SV215 @ SV210 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1097]) ).

thf(1148,plain,
    ! [SV216: $i,SV211: $i,SV174: $i,SV198: $i] :
      ( ( ~ ( end_point @ SV198 @ SV174 )
        | ~ ( end_point @ SV211 @ SV174 )
        | ~ ( end_point @ SV216 @ SV174 )
        | ( SV211 = SV216 )
        | ( SV198 = SV211 )
        | ( SV198 = SV216 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1098]) ).

thf(1149,plain,
    ! [SV212: $i,SV199: $i,SV175: $i] :
      ( ( ( ~ ( closed @ SV175 )
          | ! [SY490: $i] :
              ~ ( meet @ SY490 @ SV199 @ SV212 )
          | ( SV175
           != ( sum @ SV199 @ SV212 ) ) )
        = $true )
      | ( ( ! [SY491: $i] :
              ( ~ ( end_point @ SY491 @ SV199 )
              | ( meet @ SY491 @ SV199 @ SV212 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1099]) ).

thf(1150,plain,
    ! [SV200: $i,SV176: $i,SV217: $i] :
      ( ( ( ~ ( meet @ SV217 @ SV176 @ SV200 ) )
        = $true )
      | ( ( ( sK18_C @ SV200 @ SV176 )
          = ( sum @ SV176 @ SV200 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1100]) ).

thf(1151,plain,
    ! [SV218: $i,SV213: $i,SV201: $i,SV180: $i] :
      ( ( ! [SY498: $i,SY499: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SY498 @ SV180 ) @ ( at @ SY499 @ SV201 ) ) )
            | ~ ( once @ ( at_the_same_time @ ( at @ SY498 @ SV213 ) @ ( at @ SY499 @ SV218 ) ) )
            | ~ ( ordered_by @ ( trajectory_of @ SY498 ) @ SV180 @ SV213 )
            | ~ ( ordered_by @ ( trajectory_of @ SY499 ) @ SV218 @ SV201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1102]) ).

thf(1152,plain,
    ! [SV219: $i,SV181: $i] :
      ( ( ( once @ ( at_the_same_time @ SV181 @ ( at @ SV219 @ ( sK4_P @ SV219 @ SV181 ) ) ) )
        = $true )
      | ( ( once @ SV181 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1103]) ).

thf(1153,plain,
    ! [SV220: $i] :
      ( ( ~ ( closed @ SV220 )
        | ! [SY500: $i] :
            ~ ( end_point @ SY500 @ SV220 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1104]) ).

thf(1154,plain,
    ! [SV221: $i] :
      ( ( ( end_point @ ( sK24_P @ SV221 ) @ SV221 )
        | ( closed @ SV221 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1105]) ).

thf(1155,plain,
    ! [SV182: $i] :
      ( ( ! [SY377: $i] :
            ( ! [SY378: $i] :
                ~ ( ordered_by @ SV182 @ SY377 @ SY378 )
            | ( incident_o @ SY377 @ SV182 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1106]) ).

thf(1156,plain,
    ! [SV182: $i] :
      ( ( ! [SY379: $i,SY380: $i] :
            ( ~ ( ordered_by @ SV182 @ SY379 @ SY380 )
            | ( incident_o @ SY380 @ SV182 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1107]) ).

thf(1157,plain,
    ! [SV222: $i] :
      ( ( ! [SY501: $i] :
            ( ~ ( ~ ( incident_c @ ( sK29_P @ SY501 @ SV222 ) @ SY501 )
                | ~ ~ ( incident_c @ ( sK29_P @ SY501 @ SV222 ) @ SV222 ) )
            | ( part_of @ SY501 @ SV222 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1108]) ).

thf(1158,plain,
    ! [SV223: $i] :
      ( ( ! [SY502: $i] :
            ( ~ ( part_of @ SY502 @ SV223 )
            | ! [SY503: $i] :
                ( ~ ( incident_c @ SY503 @ SY502 )
                | ( incident_c @ SY503 @ SV223 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1109]) ).

thf(1159,plain,
    ! [SV224: $i] :
      ( ( ! [SY504: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SY504 @ SV224 ) @ SV224 )
                    | ~ ( incident_o @ ( sK6_P @ SY504 @ SV224 ) @ SY504 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SY504 @ SV224 ) @ SV224 )
                    | ( incident_o @ ( sK6_P @ SY504 @ SV224 ) @ SY504 ) ) )
            | ( SV224
              = ( underlying_curve @ SY504 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1110]) ).

thf(1160,plain,
    ! [SV225: $i] :
      ( ( ! [SY505: $i] :
            ( ( SV225
             != ( underlying_curve @ SY505 ) )
            | ~ ( ~ ! [SY506: $i] :
                      ( ~ ( incident_c @ SY506 @ SV225 )
                      | ( incident_o @ SY506 @ SY505 ) )
                | ~ ! [SY507: $i] :
                      ( ~ ( incident_o @ SY507 @ SY505 )
                      | ( incident_c @ SY507 @ SV225 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1111]) ).

thf(1161,plain,
    ! [SV183: $i] :
      ( ( ~ ( ~ ! [SY381: $i] :
                  ( ~ ( incident_c @ SY381 @ ( sK13_C @ SV183 ) )
                  | ( incident_o @ SY381 @ SV183 ) )
            | ~ ! [SY382: $i] :
                  ( ~ ( incident_o @ SY382 @ SV183 )
                  | ( incident_c @ SY382 @ ( sK13_C @ SV183 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1112]) ).

thf(1162,plain,
    ! [SV183: $i] :
      ( ( open @ ( sK13_C @ SV183 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1113]) ).

thf(1163,plain,
    ! [SV226: $i] :
      ( ( ! [SY508: $i] :
            ( ~ ( incident_c @ SV226 @ SY508 )
            | ( end_point @ SV226 @ SY508 )
            | ( inner_point @ SV226 @ SY508 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1114]) ).

thf(1164,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1115]) ).

thf(1165,plain,
    ! [SV227: $i] :
      ( ( ! [SY509: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SV227
                           != ( sK14_Q @ SY509 @ SV227 ) ) )
                      | ~ ( incident_o @ ( sK14_Q @ SY509 @ SV227 ) @ SY509 ) )
                | ~ ~ ( ordered_by @ SY509 @ ( sK14_Q @ SY509 @ SV227 ) @ SV227 ) )
            | ~ ( incident_o @ SV227 @ SY509 )
            | ( finish_point @ SV227 @ SY509 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1116]) ).

thf(1166,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( finish_point @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ( SX0 = SX2 )
                | ~ ( incident_o @ SX2 @ SX1 )
                | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( finish_point @ SX0 @ SX1 )
            | ( incident_o @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1117]) ).

thf(1167,plain,
    ! [SV184: $i,SV202: $i] :
      ( ( ( inner_point @ SV202 @ SV184 )
        = $false )
      | ( ( ~ ( ( SV184
               != ( sum @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) )
              | ~ ( meet @ SV202 @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1118]) ).

thf(1168,plain,
    ! [SV228: $i] :
      ( ( ! [SY510: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SY510 @ SV228 ) @ SY510 )
                                  | ~ ( part_of @ ( sK27_SY132 @ SY510 @ SV228 ) @ SY510 ) )
                            | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SY510 @ SV228 ) ) )
                      | ~ ( incident_c @ SV228 @ ( sK27_SY132 @ SY510 @ SV228 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SY510 @ SV228 ) @ ( sK27_SY132 @ SY510 @ SV228 ) )
                      | ~ ~ ( part_of @ ( sK27_SY132 @ SY510 @ SV228 ) @ ( sK26_C1 @ SY510 @ SV228 ) ) ) )
            | ~ ( incident_c @ SV228 @ SY510 )
            | ( end_point @ SV228 @ SY510 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1119]) ).

thf(1169,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ! [SX2: $i,SX3: $i] :
                ( ~ ( part_of @ SX2 @ SX1 )
                | ~ ( part_of @ SX3 @ SX1 )
                | ~ ( incident_c @ SX0 @ SX2 )
                | ~ ( incident_c @ SX0 @ SX3 )
                | ( part_of @ SX2 @ SX3 )
                | ( part_of @ SX3 @ SX2 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1120]) ).

thf(1170,plain,
    ! [SV185: $i] :
      ( ( ! [SY384: $i,SY385: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                          | ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY384 ) )
                      | ~ ( ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                          | ~ ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY385 ) ) )
                | ~ ( ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SV185 )
                    | ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY384 )
                    | ( incident_c @ ( sK28_Q @ SY385 @ SY384 @ SV185 ) @ SY385 ) ) )
            | ( SV185
              = ( sum @ SY384 @ SY385 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1121]) ).

thf(1171,plain,
    ! [SV185: $i] :
      ( ( ! [SY386: $i,SY387: $i] :
            ( ( SV185
             != ( sum @ SY386 @ SY387 ) )
            | ~ ( ~ ! [SY388: $i] :
                      ( ~ ( incident_c @ SY388 @ SV185 )
                      | ( incident_c @ SY388 @ SY386 )
                      | ( incident_c @ SY388 @ SY387 ) )
                | ~ ~ ( ~ ! [SY389: $i] :
                            ( ~ ( incident_c @ SY389 @ SY386 )
                            | ( incident_c @ SY389 @ SV185 ) )
                      | ~ ! [SY390: $i] :
                            ( ~ ( incident_c @ SY390 @ SY387 )
                            | ( incident_c @ SY390 @ SV185 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1122]) ).

thf(1172,plain,
    ! [SV186: $i,SV203: $i] :
      ( ( ( end_point @ SV203 @ SV186 )
        = $false )
      | ( ( ~ ( ~ ( ( SV203
                   != ( sK19_Q @ SV203 @ SV186 ) ) )
              | ~ ( end_point @ ( sK19_Q @ SV203 @ SV186 ) @ SV186 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1123]) ).

thf(1173,plain,
    ! [SV229: $i] :
      ( ( ! [SY511: $i] :
            ~ ( once @ ( at_the_same_time @ SV229 @ SY511 ) )
        | ( once @ SV229 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1124]) ).

thf(1174,plain,
    ! [SV230: $i] :
      ( ( ! [SY512: $i] :
            ( ~ ( once @ ( at_the_same_time @ SV230 @ SY512 ) )
            | ( once @ SY512 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1125]) ).

thf(1175,plain,
    ! [SV187: $i] :
      ( ( ! [SY392: $i,SY393: $i] :
            ( ~ ( connect @ SV187 @ SY392 @ SY393 )
            | ( once @ ( at_the_same_time @ ( at @ SV187 @ SY393 ) @ ( at @ SY392 @ SY393 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1126]) ).

thf(1176,plain,
    ! [SV187: $i] :
      ( ( ! [SY394: $i,SY395: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SV187 @ SY395 ) @ ( at @ SY394 @ SY395 ) ) )
            | ( connect @ SV187 @ SY394 @ SY395 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1127]) ).

thf(1177,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY458: $i,SY459: $i] :
                          ( ~ ( between_o @ SV188 @ SV204 @ SY458 @ SY459 )
                          | ( ordered_by @ SV188 @ SV204 @ SY458 )
                          | ( ordered_by @ SV188 @ SY459 @ SY458 ) )
                    | ~ ! [SY460: $i] :
                          ( ! [SY461: $i] :
                              ~ ( between_o @ SV188 @ SV204 @ SY460 @ SY461 )
                          | ( ordered_by @ SV188 @ SV204 @ SY460 )
                          | ( ordered_by @ SV188 @ SY460 @ SV204 ) ) )
              | ~ ~ ( ~ ! [SY462: $i,SY463: $i] :
                          ( ~ ( between_o @ SV188 @ SV204 @ SY462 @ SY463 )
                          | ( ordered_by @ SV188 @ SY462 @ SY463 )
                          | ( ordered_by @ SV188 @ SY463 @ SY462 ) )
                    | ~ ! [SY464: $i,SY465: $i] :
                          ( ~ ( between_o @ SV188 @ SV204 @ SY464 @ SY465 )
                          | ( ordered_by @ SV188 @ SY464 @ SY465 )
                          | ( ordered_by @ SV188 @ SY464 @ SV204 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1128]) ).

thf(1178,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ~ ( ~ ! [SY466: $i,SY467: $i] :
                    ( ~ ( ordered_by @ SV188 @ SV204 @ SY466 )
                    | ~ ( ordered_by @ SV188 @ SY466 @ SY467 )
                    | ( between_o @ SV188 @ SV204 @ SY466 @ SY467 ) )
              | ~ ! [SY468: $i,SY469: $i] :
                    ( ~ ( ordered_by @ SV188 @ SY469 @ SY468 )
                    | ~ ( ordered_by @ SV188 @ SY468 @ SV204 )
                    | ( between_o @ SV188 @ SV204 @ SY468 @ SY469 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1128]) ).

thf(1179,plain,
    ! [SV189: $i] :
      ( ( ! [SY409: $i,SY410: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY409 )
                      | ~ ( incident_c @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY410 ) )
                | ~ ( ~ ( end_point @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY409 )
                    | ~ ( end_point @ ( sK25_Q @ SY410 @ SY409 @ SV189 ) @ SY410 ) ) )
            | ~ ( incident_c @ SV189 @ SY409 )
            | ~ ( incident_c @ SV189 @ SY410 )
            | ( meet @ SV189 @ SY409 @ SY410 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1129]) ).

thf(1180,plain,
    ! [SV189: $i] :
      ( ( ~ ( ~ ! [SY411: $i,SY412: $i] :
                  ( ~ ( meet @ SV189 @ SY411 @ SY412 )
                  | ~ ( ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY411 )
                            | ~ ( incident_c @ SX3 @ SY412 )
                            | ( end_point @ SX3 @ SY411 ) )
                      | ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY411 )
                            | ~ ( incident_c @ SX3 @ SY412 )
                            | ( end_point @ SX3 @ SY412 ) ) ) )
            | ~ ~ ( ~ ! [SY415: $i] :
                        ( ! [SY416: $i] :
                            ~ ( meet @ SV189 @ SY415 @ SY416 )
                        | ( incident_c @ SV189 @ SY415 ) )
                  | ~ ! [SY417: $i,SY418: $i] :
                        ( ~ ( meet @ SV189 @ SY417 @ SY418 )
                        | ( incident_c @ SV189 @ SY418 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1130]) ).

thf(1181,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
              | ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) )
          | ~ ( ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
              | ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) ) )
        = $false )
      | ( ( SV190 = SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1131]) ).

thf(1182,plain,
    ! [SV231: $i] :
      ( ( ! [SY513: $i] :
            ( ~ ( ~ ~ ( ~ ( ( SV231
                           != ( sK15_Q @ SY513 @ SV231 ) ) )
                      | ~ ( incident_o @ ( sK15_Q @ SY513 @ SV231 ) @ SY513 ) )
                | ~ ~ ( ordered_by @ SY513 @ SV231 @ ( sK15_Q @ SY513 @ SV231 ) ) )
            | ~ ( incident_o @ SV231 @ SY513 )
            | ( start_point @ SV231 @ SY513 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1132]) ).

thf(1183,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( start_point @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ( SX0 = SX2 )
                | ~ ( incident_o @ SX2 @ SX1 )
                | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( start_point @ SX0 @ SX1 )
            | ( incident_o @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1133]) ).

thf(1184,plain,
    ! [SV214: $i,SV206: $i,SV191: $i] :
      ( ( ( ( SV191 = SV206 )
          | ~ ( open @ SV214 )
          | ~ ( incident_c @ SV191 @ SV214 )
          | ~ ( incident_c @ SV206 @ SV214 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY495: $i] :
                          ( ~ ( incident_c @ SY495 @ SV214 )
                          | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                          | ( incident_c @ SY496 @ SV214 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1134]) ).

thf(1185,plain,
    ! [SV192: $i,SV207: $i] :
      ( ( ~ ! [SY473: $i,SY474: $i] :
              ( ! [SY475: $i] :
                  ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY475 )
                          | ~ ( incident_o @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY474 ) )
                      | ~ ( ( incident_c @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY475 )
                          | ( incident_o @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY474 ) ) )
                  | ~ ( between_c @ SY475 @ SV192 @ SV207 @ SY473 ) )
              | ( between_o @ SY474 @ SV192 @ SV207 @ SY473 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1135]) ).

thf(1186,plain,
    ! [SV207: $i,SV192: $i] :
      ( ( ~ ! [SY476: $i,SY477: $i] :
              ( ~ ( between_o @ SY477 @ SV192 @ SV207 @ SY476 )
              | ~ ( ~ ~ ( ~ ! [SY478: $i] :
                              ( ~ ( incident_c @ SY478 @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) )
                              | ( incident_o @ SY478 @ SY477 ) )
                        | ~ ! [SY479: $i] :
                              ( ~ ( incident_o @ SY479 @ SY477 )
                              | ( incident_c @ SY479 @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) ) ) )
                  | ~ ( between_c @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SY476 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1135]) ).

thf(1187,plain,
    ! [SV232: $i] :
      ( ( ! [SY514: $i] :
            ( ~ ( once @ ( at_the_same_time @ SV232 @ SY514 ) )
            | ( once @ ( at_the_same_time @ SY514 @ SV232 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1136]) ).

thf(1188,plain,
    ! [SV233: $i] :
      ( ( ! [SY515: $i] :
            ( ~ ( once @ ( at_the_same_time @ SY515 @ SV233 ) )
            | ( once @ ( at_the_same_time @ SV233 @ SY515 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1137]) ).

thf(1189,plain,
    ! [SV193: $i] :
      ( ( ! [SY432: $i,SY433: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SY432 ) @ SY433 ) )
            | ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SY432 @ SY433 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1138]) ).

thf(1190,plain,
    ! [SV193: $i] :
      ( ( ! [SY434: $i,SY435: $i] :
            ( ~ ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SY434 @ SY435 ) ) )
            | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SY434 ) @ SY435 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1139]) ).

thf(1191,plain,
    ! [SV234: $i] :
      ( ( ! [SY516: $i] :
            ( ~ ( incident_o @ SY516 @ ( trajectory_of @ SV234 ) )
            | ( once @ ( at @ SV234 @ SY516 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1140]) ).

thf(1192,plain,
    ! [SV235: $i] :
      ( ( ! [SY517: $i] :
            ( ~ ( once @ ( at @ SV235 @ SY517 ) )
            | ( incident_o @ SY517 @ ( trajectory_of @ SV235 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1141]) ).

thf(1193,plain,
    ! [SV236: $i] :
      ( ( ! [SY518: $i] :
            ~ ( end_point @ SY518 @ SV236 )
        | ( open @ SV236 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1142]) ).

thf(1194,plain,
    ! [SV237: $i] :
      ( ( ~ ( open @ SV237 )
        | ( end_point @ ( sK23_P @ SV237 ) @ SV237 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1143]) ).

thf(1195,plain,
    ! [SV208: $i,SV194: $i] :
      ( ( ( ~ ( ~ ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
              | ~ ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) )
          | ~ ( ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
              | ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) ) )
        = $false )
      | ( ( SV194 = SV208 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1144]) ).

thf(1196,plain,
    ! [SV195: $i,SV209: $i] :
      ( ( ~ ! [SY480: $i,SY481: $i] :
              ( ( SV209 = SY481 )
              | ! [SY482: $i] :
                  ( ~ ( end_point @ SV209 @ SY482 )
                  | ~ ( part_of @ SY482 @ SV195 )
                  | ~ ( end_point @ SY481 @ SY482 )
                  | ~ ( inner_point @ SY480 @ SY482 ) )
              | ( between_c @ SV195 @ SV209 @ SY480 @ SY481 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1145]) ).

thf(1197,plain,
    ! [SV209: $i,SV195: $i] :
      ( ( ~ ~ ( ~ ! [SY483: $i,SY484: $i] :
                    ( ~ ( between_c @ SV195 @ SV209 @ SY483 @ SY484 )
                    | ( SV209 != SY484 ) )
              | ~ ! [SY485: $i,SY486: $i] :
                    ( ~ ( between_c @ SV195 @ SV209 @ SY485 @ SY486 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) )
                                    | ~ ( part_of @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) @ SV195 ) )
                              | ~ ( end_point @ SY486 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) )
                        | ~ ( inner_point @ SY485 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1145]) ).

thf(1198,plain,
    ! [SV171: $i,SV196: $i] :
      ( ( ( part_of @ SV196 @ SV171 )
        = $false )
      | ( ( SV196 = SV171 )
        = $true )
      | ( ( open @ SV196 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1146]) ).

thf(1199,plain,
    ! [SV215: $i,SV210: $i,SV172: $i,SV197: $i] :
      ( ( ( ~ ( part_of @ SV197 @ SV172 )
          | ~ ( part_of @ SV210 @ SV172 )
          | ~ ( part_of @ SV215 @ SV172 )
          | ! [SY497: $i] :
              ( ~ ( end_point @ SY497 @ SV197 )
              | ~ ( end_point @ SY497 @ SV210 )
              | ~ ( end_point @ SY497 @ SV215 ) ) )
        = $true )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1147]) ).

thf(1200,plain,
    ! [SV216: $i,SV211: $i,SV174: $i,SV198: $i] :
      ( ( ( ~ ( end_point @ SV198 @ SV174 )
          | ~ ( end_point @ SV211 @ SV174 )
          | ~ ( end_point @ SV216 @ SV174 ) )
        = $true )
      | ( ( ( SV211 = SV216 )
          | ( SV198 = SV211 )
          | ( SV198 = SV216 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1148]) ).

thf(1201,plain,
    ! [SV212: $i,SV199: $i,SV175: $i] :
      ( ( ( ~ ( closed @ SV175 )
          | ! [SY490: $i] :
              ~ ( meet @ SY490 @ SV199 @ SV212 ) )
        = $true )
      | ( ( ( SV175
           != ( sum @ SV199 @ SV212 ) ) )
        = $true )
      | ( ( ! [SY491: $i] :
              ( ~ ( end_point @ SY491 @ SV199 )
              | ( meet @ SY491 @ SV199 @ SV212 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1149]) ).

thf(1202,plain,
    ! [SV200: $i,SV176: $i,SV217: $i] :
      ( ( ( meet @ SV217 @ SV176 @ SV200 )
        = $false )
      | ( ( ( sK18_C @ SV200 @ SV176 )
          = ( sum @ SV176 @ SV200 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1150]) ).

thf(1203,plain,
    ! [SV218: $i,SV213: $i,SV201: $i,SV180: $i,SV238: $i] :
      ( ( ! [SY519: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SV238 @ SV180 ) @ ( at @ SY519 @ SV201 ) ) )
            | ~ ( once @ ( at_the_same_time @ ( at @ SV238 @ SV213 ) @ ( at @ SY519 @ SV218 ) ) )
            | ~ ( ordered_by @ ( trajectory_of @ SV238 ) @ SV180 @ SV213 )
            | ~ ( ordered_by @ ( trajectory_of @ SY519 ) @ SV218 @ SV201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1151]) ).

thf(1204,plain,
    ! [SV220: $i] :
      ( ( ( ~ ( closed @ SV220 ) )
        = $true )
      | ( ( ! [SY500: $i] :
              ~ ( end_point @ SY500 @ SV220 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1153]) ).

thf(1205,plain,
    ! [SV221: $i] :
      ( ( ( end_point @ ( sK24_P @ SV221 ) @ SV221 )
        = $true )
      | ( ( closed @ SV221 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1154]) ).

thf(1206,plain,
    ! [SV239: $i,SV182: $i] :
      ( ( ! [SY520: $i] :
            ~ ( ordered_by @ SV182 @ SV239 @ SY520 )
        | ( incident_o @ SV239 @ SV182 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1155]) ).

thf(1207,plain,
    ! [SV240: $i,SV182: $i] :
      ( ( ! [SY521: $i] :
            ( ~ ( ordered_by @ SV182 @ SV240 @ SY521 )
            | ( incident_o @ SY521 @ SV182 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1156]) ).

thf(1208,plain,
    ! [SV222: $i,SV241: $i] :
      ( ( ~ ( ~ ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV241 )
            | ~ ~ ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV222 ) )
        | ( part_of @ SV241 @ SV222 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1157]) ).

thf(1209,plain,
    ! [SV223: $i,SV242: $i] :
      ( ( ~ ( part_of @ SV242 @ SV223 )
        | ! [SY522: $i] :
            ( ~ ( incident_c @ SY522 @ SV242 )
            | ( incident_c @ SY522 @ SV223 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1158]) ).

thf(1210,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
                | ~ ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) )
            | ~ ( ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
                | ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) ) )
        | ( SV224
          = ( underlying_curve @ SV243 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1159]) ).

thf(1211,plain,
    ! [SV244: $i,SV225: $i] :
      ( ( ( SV225
         != ( underlying_curve @ SV244 ) )
        | ~ ( ~ ! [SY523: $i] :
                  ( ~ ( incident_c @ SY523 @ SV225 )
                  | ( incident_o @ SY523 @ SV244 ) )
            | ~ ! [SY524: $i] :
                  ( ~ ( incident_o @ SY524 @ SV244 )
                  | ( incident_c @ SY524 @ SV225 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1160]) ).

thf(1212,plain,
    ! [SV183: $i] :
      ( ( ~ ! [SY381: $i] :
              ( ~ ( incident_c @ SY381 @ ( sK13_C @ SV183 ) )
              | ( incident_o @ SY381 @ SV183 ) )
        | ~ ! [SY382: $i] :
              ( ~ ( incident_o @ SY382 @ SV183 )
              | ( incident_c @ SY382 @ ( sK13_C @ SV183 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1161]) ).

thf(1213,plain,
    ! [SV245: $i,SV226: $i] :
      ( ( ~ ( incident_c @ SV226 @ SV245 )
        | ( end_point @ SV226 @ SV245 )
        | ( inner_point @ SV226 @ SV245 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1163]) ).

thf(1214,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1164]) ).

thf(1215,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1164]) ).

thf(1216,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ( SV227
                       != ( sK14_Q @ SV246 @ SV227 ) ) )
                  | ~ ( incident_o @ ( sK14_Q @ SV246 @ SV227 ) @ SV246 ) )
            | ~ ~ ( ordered_by @ SV246 @ ( sK14_Q @ SV246 @ SV227 ) @ SV227 ) )
        | ~ ( incident_o @ SV227 @ SV246 )
        | ( finish_point @ SV227 @ SV246 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1165]) ).

thf(1217,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( finish_point @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ( SX0 = SX2 )
                | ~ ( incident_o @ SX2 @ SX1 )
                | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1166]) ).

thf(1218,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( finish_point @ SX0 @ SX1 )
            | ( incident_o @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1166]) ).

thf(1219,plain,
    ! [SV202: $i,SV184: $i] :
      ( ( ( ( SV184
           != ( sum @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) )
          | ~ ( meet @ SV202 @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) )
        = $false )
      | ( ( inner_point @ SV202 @ SV184 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1167]) ).

thf(1220,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                              | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
                        | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) )
                  | ~ ( incident_c @ SV228 @ ( sK27_SY132 @ SV247 @ SV228 ) ) )
            | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) )
                  | ~ ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) ) ) )
        | ~ ( incident_c @ SV228 @ SV247 )
        | ( end_point @ SV228 @ SV247 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1168]) ).

thf(1221,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ! [SX2: $i,SX3: $i] :
                ( ~ ( part_of @ SX2 @ SX1 )
                | ~ ( part_of @ SX3 @ SX1 )
                | ~ ( incident_c @ SX0 @ SX2 )
                | ~ ( incident_c @ SX0 @ SX3 )
                | ( part_of @ SX2 @ SX3 )
                | ( part_of @ SX3 @ SX2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1169]) ).

thf(1222,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1169]) ).

thf(1223,plain,
    ! [SV185: $i,SV248: $i] :
      ( ( ! [SY525: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SY525 @ SV248 @ SV185 ) @ SV185 )
                          | ~ ( incident_c @ ( sK28_Q @ SY525 @ SV248 @ SV185 ) @ SV248 ) )
                      | ~ ( ~ ( incident_c @ ( sK28_Q @ SY525 @ SV248 @ SV185 ) @ SV185 )
                          | ~ ( incident_c @ ( sK28_Q @ SY525 @ SV248 @ SV185 ) @ SY525 ) ) )
                | ~ ( ( incident_c @ ( sK28_Q @ SY525 @ SV248 @ SV185 ) @ SV185 )
                    | ( incident_c @ ( sK28_Q @ SY525 @ SV248 @ SV185 ) @ SV248 )
                    | ( incident_c @ ( sK28_Q @ SY525 @ SV248 @ SV185 ) @ SY525 ) ) )
            | ( SV185
              = ( sum @ SV248 @ SY525 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1170]) ).

thf(1224,plain,
    ! [SV249: $i,SV185: $i] :
      ( ( ! [SY526: $i] :
            ( ( SV185
             != ( sum @ SV249 @ SY526 ) )
            | ~ ( ~ ! [SY527: $i] :
                      ( ~ ( incident_c @ SY527 @ SV185 )
                      | ( incident_c @ SY527 @ SV249 )
                      | ( incident_c @ SY527 @ SY526 ) )
                | ~ ~ ( ~ ! [SY528: $i] :
                            ( ~ ( incident_c @ SY528 @ SV249 )
                            | ( incident_c @ SY528 @ SV185 ) )
                      | ~ ! [SY390: $i] :
                            ( ~ ( incident_c @ SY390 @ SY526 )
                            | ( incident_c @ SY390 @ SV185 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1171]) ).

thf(1225,plain,
    ! [SV186: $i,SV203: $i] :
      ( ( ( ~ ( ( SV203
               != ( sK19_Q @ SV203 @ SV186 ) ) )
          | ~ ( end_point @ ( sK19_Q @ SV203 @ SV186 ) @ SV186 ) )
        = $false )
      | ( ( end_point @ SV203 @ SV186 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1172]) ).

thf(1226,plain,
    ! [SV229: $i] :
      ( ( ( ! [SY511: $i] :
              ~ ( once @ ( at_the_same_time @ SV229 @ SY511 ) ) )
        = $true )
      | ( ( once @ SV229 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1173]) ).

thf(1227,plain,
    ! [SV250: $i,SV230: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ SV230 @ SV250 ) )
        | ( once @ SV250 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1174]) ).

thf(1228,plain,
    ! [SV251: $i,SV187: $i] :
      ( ( ! [SY530: $i] :
            ( ~ ( connect @ SV187 @ SV251 @ SY530 )
            | ( once @ ( at_the_same_time @ ( at @ SV187 @ SY530 ) @ ( at @ SV251 @ SY530 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1175]) ).

thf(1229,plain,
    ! [SV252: $i,SV187: $i] :
      ( ( ! [SY531: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at @ SV187 @ SY531 ) @ ( at @ SV252 @ SY531 ) ) )
            | ( connect @ SV187 @ SV252 @ SY531 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1176]) ).

thf(1230,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ( ~ ~ ( ~ ! [SY458: $i,SY459: $i] :
                        ( ~ ( between_o @ SV188 @ SV204 @ SY458 @ SY459 )
                        | ( ordered_by @ SV188 @ SV204 @ SY458 )
                        | ( ordered_by @ SV188 @ SY459 @ SY458 ) )
                  | ~ ! [SY460: $i] :
                        ( ! [SY461: $i] :
                            ~ ( between_o @ SV188 @ SV204 @ SY460 @ SY461 )
                        | ( ordered_by @ SV188 @ SV204 @ SY460 )
                        | ( ordered_by @ SV188 @ SY460 @ SV204 ) ) )
            | ~ ~ ( ~ ! [SY462: $i,SY463: $i] :
                        ( ~ ( between_o @ SV188 @ SV204 @ SY462 @ SY463 )
                        | ( ordered_by @ SV188 @ SY462 @ SY463 )
                        | ( ordered_by @ SV188 @ SY463 @ SY462 ) )
                  | ~ ! [SY464: $i,SY465: $i] :
                        ( ~ ( between_o @ SV188 @ SV204 @ SY464 @ SY465 )
                        | ( ordered_by @ SV188 @ SY464 @ SY465 )
                        | ( ordered_by @ SV188 @ SY464 @ SV204 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1177]) ).

thf(1231,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ( ~ ! [SY466: $i,SY467: $i] :
                  ( ~ ( ordered_by @ SV188 @ SV204 @ SY466 )
                  | ~ ( ordered_by @ SV188 @ SY466 @ SY467 )
                  | ( between_o @ SV188 @ SV204 @ SY466 @ SY467 ) )
            | ~ ! [SY468: $i,SY469: $i] :
                  ( ~ ( ordered_by @ SV188 @ SY469 @ SY468 )
                  | ~ ( ordered_by @ SV188 @ SY468 @ SV204 )
                  | ( between_o @ SV188 @ SV204 @ SY468 @ SY469 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1178]) ).

thf(1232,plain,
    ! [SV189: $i,SV253: $i] :
      ( ( ! [SY532: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SY532 @ SV253 @ SV189 ) @ SV253 )
                      | ~ ( incident_c @ ( sK25_Q @ SY532 @ SV253 @ SV189 ) @ SY532 ) )
                | ~ ( ~ ( end_point @ ( sK25_Q @ SY532 @ SV253 @ SV189 ) @ SV253 )
                    | ~ ( end_point @ ( sK25_Q @ SY532 @ SV253 @ SV189 ) @ SY532 ) ) )
            | ~ ( incident_c @ SV189 @ SV253 )
            | ~ ( incident_c @ SV189 @ SY532 )
            | ( meet @ SV189 @ SV253 @ SY532 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1179]) ).

thf(1233,plain,
    ! [SV189: $i] :
      ( ( ~ ! [SY411: $i,SY412: $i] :
              ( ~ ( meet @ SV189 @ SY411 @ SY412 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY411 )
                        | ~ ( incident_c @ SX3 @ SY412 )
                        | ( end_point @ SX3 @ SY411 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY411 )
                        | ~ ( incident_c @ SX3 @ SY412 )
                        | ( end_point @ SX3 @ SY412 ) ) ) )
        | ~ ~ ( ~ ! [SY415: $i] :
                    ( ! [SY416: $i] :
                        ~ ( meet @ SV189 @ SY415 @ SY416 )
                    | ( incident_c @ SV189 @ SY415 ) )
              | ~ ! [SY417: $i,SY418: $i] :
                    ( ~ ( meet @ SV189 @ SY417 @ SY418 )
                    | ( incident_c @ SV189 @ SY418 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1180]) ).

thf(1234,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
              | ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) ) )
        = $false )
      | ( ( SV190 = SV205 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1181]) ).

thf(1235,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
              | ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) ) )
        = $false )
      | ( ( SV190 = SV205 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1181]) ).

thf(1236,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ( SV231
                       != ( sK15_Q @ SV254 @ SV231 ) ) )
                  | ~ ( incident_o @ ( sK15_Q @ SV254 @ SV231 ) @ SV254 ) )
            | ~ ~ ( ordered_by @ SV254 @ SV231 @ ( sK15_Q @ SV254 @ SV231 ) ) )
        | ~ ( incident_o @ SV231 @ SV254 )
        | ( start_point @ SV231 @ SV254 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1182]) ).

thf(1237,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( start_point @ SX0 @ SX1 )
            | ! [SX2: $i] :
                ( ( SX0 = SX2 )
                | ~ ( incident_o @ SX2 @ SX1 )
                | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1183]) ).

thf(1238,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( start_point @ SX0 @ SX1 )
            | ( incident_o @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1183]) ).

thf(1239,plain,
    ! [SV214: $i,SV206: $i,SV191: $i] :
      ( ( ( ( SV191 = SV206 )
          | ~ ( open @ SV214 )
          | ~ ( incident_c @ SV191 @ SV214 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV206 @ SV214 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY495: $i] :
                          ( ~ ( incident_c @ SY495 @ SV214 )
                          | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                          | ( incident_c @ SY496 @ SV214 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1184]) ).

thf(1240,plain,
    ! [SV192: $i,SV207: $i] :
      ( ( ! [SY473: $i,SY474: $i] :
            ( ! [SY475: $i] :
                ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY475 )
                        | ~ ( incident_o @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY474 ) )
                    | ~ ( ( incident_c @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY475 )
                        | ( incident_o @ ( sK12_P @ SY475 @ SY474 @ SY473 @ SV207 @ SV192 ) @ SY474 ) ) )
                | ~ ( between_c @ SY475 @ SV192 @ SV207 @ SY473 ) )
            | ( between_o @ SY474 @ SV192 @ SV207 @ SY473 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1185]) ).

thf(1241,plain,
    ! [SV207: $i,SV192: $i] :
      ( ( ! [SY476: $i,SY477: $i] :
            ( ~ ( between_o @ SY477 @ SV192 @ SV207 @ SY476 )
            | ~ ( ~ ~ ( ~ ! [SY478: $i] :
                            ( ~ ( incident_c @ SY478 @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) )
                            | ( incident_o @ SY478 @ SY477 ) )
                      | ~ ! [SY479: $i] :
                            ( ~ ( incident_o @ SY479 @ SY477 )
                            | ( incident_c @ SY479 @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) ) ) )
                | ~ ( between_c @ ( sK11_C @ SY477 @ SY476 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SY476 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1186]) ).

thf(1242,plain,
    ! [SV255: $i,SV232: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ SV232 @ SV255 ) )
        | ( once @ ( at_the_same_time @ SV255 @ SV232 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1187]) ).

thf(1243,plain,
    ! [SV233: $i,SV256: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ SV256 @ SV233 ) )
        | ( once @ ( at_the_same_time @ SV233 @ SV256 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1188]) ).

thf(1244,plain,
    ! [SV257: $i,SV193: $i] :
      ( ( ! [SY533: $i] :
            ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SV257 ) @ SY533 ) )
            | ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SV257 @ SY533 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1189]) ).

thf(1245,plain,
    ! [SV258: $i,SV193: $i] :
      ( ( ! [SY534: $i] :
            ( ~ ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SV258 @ SY534 ) ) )
            | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SV258 ) @ SY534 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1190]) ).

thf(1246,plain,
    ! [SV234: $i,SV259: $i] :
      ( ( ~ ( incident_o @ SV259 @ ( trajectory_of @ SV234 ) )
        | ( once @ ( at @ SV234 @ SV259 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1191]) ).

thf(1247,plain,
    ! [SV260: $i,SV235: $i] :
      ( ( ~ ( once @ ( at @ SV235 @ SV260 ) )
        | ( incident_o @ SV260 @ ( trajectory_of @ SV235 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1192]) ).

thf(1248,plain,
    ! [SV236: $i] :
      ( ( ( ! [SY518: $i] :
              ~ ( end_point @ SY518 @ SV236 ) )
        = $true )
      | ( ( open @ SV236 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1193]) ).

thf(1249,plain,
    ! [SV237: $i] :
      ( ( ( ~ ( open @ SV237 ) )
        = $true )
      | ( ( end_point @ ( sK23_P @ SV237 ) @ SV237 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1194]) ).

thf(1250,plain,
    ! [SV208: $i,SV194: $i] :
      ( ( ( ~ ( ~ ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
              | ~ ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) ) )
        = $false )
      | ( ( SV194 = SV208 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1195]) ).

thf(1251,plain,
    ! [SV208: $i,SV194: $i] :
      ( ( ( ~ ( ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
              | ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) ) )
        = $false )
      | ( ( SV194 = SV208 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1195]) ).

thf(1252,plain,
    ! [SV195: $i,SV209: $i] :
      ( ( ! [SY480: $i,SY481: $i] :
            ( ( SV209 = SY481 )
            | ! [SY482: $i] :
                ( ~ ( end_point @ SV209 @ SY482 )
                | ~ ( part_of @ SY482 @ SV195 )
                | ~ ( end_point @ SY481 @ SY482 )
                | ~ ( inner_point @ SY480 @ SY482 ) )
            | ( between_c @ SV195 @ SV209 @ SY480 @ SY481 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1196]) ).

thf(1253,plain,
    ! [SV209: $i,SV195: $i] :
      ( ( ~ ( ~ ! [SY483: $i,SY484: $i] :
                  ( ~ ( between_c @ SV195 @ SV209 @ SY483 @ SY484 )
                  | ( SV209 != SY484 ) )
            | ~ ! [SY485: $i,SY486: $i] :
                  ( ~ ( between_c @ SV195 @ SV209 @ SY485 @ SY486 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) )
                                  | ~ ( part_of @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) @ SV195 ) )
                            | ~ ( end_point @ SY486 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) )
                      | ~ ( inner_point @ SY485 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1197]) ).

thf(1254,plain,
    ! [SV215: $i,SV210: $i,SV172: $i,SV197: $i] :
      ( ( ( ~ ( part_of @ SV197 @ SV172 )
          | ~ ( part_of @ SV210 @ SV172 )
          | ~ ( part_of @ SV215 @ SV172 ) )
        = $true )
      | ( ( ! [SY497: $i] :
              ( ~ ( end_point @ SY497 @ SV197 )
              | ~ ( end_point @ SY497 @ SV210 )
              | ~ ( end_point @ SY497 @ SV215 ) ) )
        = $true )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1199]) ).

thf(1255,plain,
    ! [SV216: $i,SV211: $i,SV174: $i,SV198: $i] :
      ( ( ( ~ ( end_point @ SV198 @ SV174 )
          | ~ ( end_point @ SV211 @ SV174 ) )
        = $true )
      | ( ( ~ ( end_point @ SV216 @ SV174 ) )
        = $true )
      | ( ( ( SV211 = SV216 )
          | ( SV198 = SV211 )
          | ( SV198 = SV216 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1200]) ).

thf(1256,plain,
    ! [SV212: $i,SV199: $i,SV175: $i] :
      ( ( ( ~ ( closed @ SV175 ) )
        = $true )
      | ( ( ! [SY490: $i] :
              ~ ( meet @ SY490 @ SV199 @ SV212 ) )
        = $true )
      | ( ( ( SV175
           != ( sum @ SV199 @ SV212 ) ) )
        = $true )
      | ( ( ! [SY491: $i] :
              ( ~ ( end_point @ SY491 @ SV199 )
              | ( meet @ SY491 @ SV199 @ SV212 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1201]) ).

thf(1257,plain,
    ! [SV218: $i,SV213: $i,SV201: $i,SV261: $i,SV180: $i,SV238: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV238 @ SV180 ) @ ( at @ SV261 @ SV201 ) ) )
        | ~ ( once @ ( at_the_same_time @ ( at @ SV238 @ SV213 ) @ ( at @ SV261 @ SV218 ) ) )
        | ~ ( ordered_by @ ( trajectory_of @ SV238 ) @ SV180 @ SV213 )
        | ~ ( ordered_by @ ( trajectory_of @ SV261 ) @ SV218 @ SV201 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1203]) ).

thf(1258,plain,
    ! [SV220: $i] :
      ( ( ( closed @ SV220 )
        = $false )
      | ( ( ! [SY500: $i] :
              ~ ( end_point @ SY500 @ SV220 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1204]) ).

thf(1259,plain,
    ! [SV239: $i,SV182: $i] :
      ( ( ( ! [SY520: $i] :
              ~ ( ordered_by @ SV182 @ SV239 @ SY520 ) )
        = $true )
      | ( ( incident_o @ SV239 @ SV182 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1206]) ).

thf(1260,plain,
    ! [SV262: $i,SV240: $i,SV182: $i] :
      ( ( ~ ( ordered_by @ SV182 @ SV240 @ SV262 )
        | ( incident_o @ SV262 @ SV182 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1207]) ).

thf(1261,plain,
    ! [SV222: $i,SV241: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV241 )
              | ~ ~ ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV222 ) ) )
        = $true )
      | ( ( part_of @ SV241 @ SV222 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1208]) ).

thf(1262,plain,
    ! [SV223: $i,SV242: $i] :
      ( ( ( ~ ( part_of @ SV242 @ SV223 ) )
        = $true )
      | ( ( ! [SY522: $i] :
              ( ~ ( incident_c @ SY522 @ SV242 )
              | ( incident_c @ SY522 @ SV223 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1209]) ).

thf(1263,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
                  | ~ ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
                  | ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) ) ) )
        = $true )
      | ( ( SV224
          = ( underlying_curve @ SV243 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1210]) ).

thf(1264,plain,
    ! [SV244: $i,SV225: $i] :
      ( ( ( ( SV225
           != ( underlying_curve @ SV244 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY523: $i] :
                    ( ~ ( incident_c @ SY523 @ SV225 )
                    | ( incident_o @ SY523 @ SV244 ) )
              | ~ ! [SY524: $i] :
                    ( ~ ( incident_o @ SY524 @ SV244 )
                    | ( incident_c @ SY524 @ SV225 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1211]) ).

thf(1265,plain,
    ! [SV183: $i] :
      ( ( ~ ! [SY381: $i] :
              ( ~ ( incident_c @ SY381 @ ( sK13_C @ SV183 ) )
              | ( incident_o @ SY381 @ SV183 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1212]) ).

thf(1266,plain,
    ! [SV183: $i] :
      ( ( ~ ! [SY382: $i] :
              ( ~ ( incident_o @ SY382 @ SV183 )
              | ( incident_c @ SY382 @ ( sK13_C @ SV183 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1212]) ).

thf(1267,plain,
    ! [SV245: $i,SV226: $i] :
      ( ( ( ~ ( incident_c @ SV226 @ SV245 )
          | ( end_point @ SV226 @ SV245 ) )
        = $true )
      | ( ( inner_point @ SV226 @ SV245 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1213]) ).

thf(1268,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1214]) ).

thf(1269,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1215]) ).

thf(1270,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV227
                         != ( sK14_Q @ SV246 @ SV227 ) ) )
                    | ~ ( incident_o @ ( sK14_Q @ SV246 @ SV227 ) @ SV246 ) )
              | ~ ~ ( ordered_by @ SV246 @ ( sK14_Q @ SV246 @ SV227 ) @ SV227 ) )
          | ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1216]) ).

thf(1271,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( finish_point @ SX0 @ SX1 )
          | ! [SX2: $i] :
              ( ( SX0 = SX2 )
              | ~ ( incident_o @ SX2 @ SX1 )
              | ( ordered_by @ SX1 @ SX2 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1217]) ).

thf(1272,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( finish_point @ SX0 @ SX1 )
          | ( incident_o @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1218]) ).

thf(1273,plain,
    ! [SV202: $i,SV184: $i] :
      ( ( ( ( SV184
           != ( sum @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) ) )
        = $false )
      | ( ( inner_point @ SV202 @ SV184 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1219]) ).

thf(1274,plain,
    ! [SV184: $i,SV202: $i] :
      ( ( ( ~ ( meet @ SV202 @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) )
        = $false )
      | ( ( inner_point @ SV202 @ SV184 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1219]) ).

thf(1275,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                                | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
                          | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) )
                    | ~ ( incident_c @ SV228 @ ( sK27_SY132 @ SV247 @ SV228 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) )
                    | ~ ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) ) ) )
          | ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1220]) ).

thf(1276,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX0 @ SX1 )
          | ! [SX2: $i,SX3: $i] :
              ( ~ ( part_of @ SX2 @ SX1 )
              | ~ ( part_of @ SX3 @ SX1 )
              | ~ ( incident_c @ SX0 @ SX2 )
              | ~ ( incident_c @ SX0 @ SX3 )
              | ( part_of @ SX2 @ SX3 )
              | ( part_of @ SX3 @ SX2 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1221]) ).

thf(1277,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1222]) ).

thf(1278,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                      | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 ) )
                  | ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                      | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) )
            | ~ ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 )
                | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) )
        | ( SV185
          = ( sum @ SV248 @ SV263 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1223]) ).

thf(1279,plain,
    ! [SV264: $i,SV249: $i,SV185: $i] :
      ( ( ( SV185
         != ( sum @ SV249 @ SV264 ) )
        | ~ ( ~ ! [SY535: $i] :
                  ( ~ ( incident_c @ SY535 @ SV185 )
                  | ( incident_c @ SY535 @ SV249 )
                  | ( incident_c @ SY535 @ SV264 ) )
            | ~ ~ ( ~ ! [SY528: $i] :
                        ( ~ ( incident_c @ SY528 @ SV249 )
                        | ( incident_c @ SY528 @ SV185 ) )
                  | ~ ! [SY537: $i] :
                        ( ~ ( incident_c @ SY537 @ SV264 )
                        | ( incident_c @ SY537 @ SV185 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1224]) ).

thf(1280,plain,
    ! [SV186: $i,SV203: $i] :
      ( ( ( ~ ( ( SV203
               != ( sK19_Q @ SV203 @ SV186 ) ) ) )
        = $false )
      | ( ( end_point @ SV203 @ SV186 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1225]) ).

thf(1281,plain,
    ! [SV186: $i,SV203: $i] :
      ( ( ( ~ ( end_point @ ( sK19_Q @ SV203 @ SV186 ) @ SV186 ) )
        = $false )
      | ( ( end_point @ SV203 @ SV186 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1225]) ).

thf(1282,plain,
    ! [SV265: $i,SV229: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ SV229 @ SV265 ) ) )
        = $true )
      | ( ( once @ SV229 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1226]) ).

thf(1283,plain,
    ! [SV250: $i,SV230: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ SV230 @ SV250 ) ) )
        = $true )
      | ( ( once @ SV250 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1227]) ).

thf(1284,plain,
    ! [SV266: $i,SV251: $i,SV187: $i] :
      ( ( ~ ( connect @ SV187 @ SV251 @ SV266 )
        | ( once @ ( at_the_same_time @ ( at @ SV187 @ SV266 ) @ ( at @ SV251 @ SV266 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1228]) ).

thf(1285,plain,
    ! [SV252: $i,SV267: $i,SV187: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV187 @ SV267 ) @ ( at @ SV252 @ SV267 ) ) )
        | ( connect @ SV187 @ SV252 @ SV267 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1229]) ).

thf(1286,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ~ ( ~ ! [SY458: $i,SY459: $i] :
                    ( ~ ( between_o @ SV188 @ SV204 @ SY458 @ SY459 )
                    | ( ordered_by @ SV188 @ SV204 @ SY458 )
                    | ( ordered_by @ SV188 @ SY459 @ SY458 ) )
              | ~ ! [SY460: $i] :
                    ( ! [SY461: $i] :
                        ~ ( between_o @ SV188 @ SV204 @ SY460 @ SY461 )
                    | ( ordered_by @ SV188 @ SV204 @ SY460 )
                    | ( ordered_by @ SV188 @ SY460 @ SV204 ) ) )
        | ~ ~ ( ~ ! [SY462: $i,SY463: $i] :
                    ( ~ ( between_o @ SV188 @ SV204 @ SY462 @ SY463 )
                    | ( ordered_by @ SV188 @ SY462 @ SY463 )
                    | ( ordered_by @ SV188 @ SY463 @ SY462 ) )
              | ~ ! [SY464: $i,SY465: $i] :
                    ( ~ ( between_o @ SV188 @ SV204 @ SY464 @ SY465 )
                    | ( ordered_by @ SV188 @ SY464 @ SY465 )
                    | ( ordered_by @ SV188 @ SY464 @ SV204 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1230]) ).

thf(1287,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ! [SY466: $i,SY467: $i] :
              ( ~ ( ordered_by @ SV188 @ SV204 @ SY466 )
              | ~ ( ordered_by @ SV188 @ SY466 @ SY467 )
              | ( between_o @ SV188 @ SV204 @ SY466 @ SY467 ) )
        | ~ ! [SY468: $i,SY469: $i] :
              ( ~ ( ordered_by @ SV188 @ SY469 @ SY468 )
              | ~ ( ordered_by @ SV188 @ SY468 @ SV204 )
              | ( between_o @ SV188 @ SV204 @ SY468 @ SY469 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1231]) ).

thf(1288,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
                  | ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) )
            | ~ ( ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
                | ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) ) )
        | ~ ( incident_c @ SV189 @ SV253 )
        | ~ ( incident_c @ SV189 @ SV268 )
        | ( meet @ SV189 @ SV253 @ SV268 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1232]) ).

thf(1289,plain,
    ! [SV189: $i] :
      ( ( ~ ! [SY411: $i,SY412: $i] :
              ( ~ ( meet @ SV189 @ SY411 @ SY412 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY411 )
                        | ~ ( incident_c @ SX3 @ SY412 )
                        | ( end_point @ SX3 @ SY411 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY411 )
                        | ~ ( incident_c @ SX3 @ SY412 )
                        | ( end_point @ SX3 @ SY412 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1233]) ).

thf(1290,plain,
    ! [SV189: $i] :
      ( ( ~ ~ ( ~ ! [SY415: $i] :
                    ( ! [SY416: $i] :
                        ~ ( meet @ SV189 @ SY415 @ SY416 )
                    | ( incident_c @ SV189 @ SY415 ) )
              | ~ ! [SY417: $i,SY418: $i] :
                    ( ~ ( meet @ SV189 @ SY417 @ SY418 )
                    | ( incident_c @ SV189 @ SY418 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1233]) ).

thf(1291,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
          | ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) )
        = $true )
      | ( ( SV190 = SV205 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1234]) ).

thf(1292,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ( ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
          | ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) )
        = $true )
      | ( ( SV190 = SV205 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1235]) ).

thf(1293,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV231
                         != ( sK15_Q @ SV254 @ SV231 ) ) )
                    | ~ ( incident_o @ ( sK15_Q @ SV254 @ SV231 ) @ SV254 ) )
              | ~ ~ ( ordered_by @ SV254 @ SV231 @ ( sK15_Q @ SV254 @ SV231 ) ) )
          | ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1236]) ).

thf(1294,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( start_point @ SX0 @ SX1 )
          | ! [SX2: $i] :
              ( ( SX0 = SX2 )
              | ~ ( incident_o @ SX2 @ SX1 )
              | ( ordered_by @ SX1 @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1237]) ).

thf(1295,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( start_point @ SX0 @ SX1 )
          | ( incident_o @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1238]) ).

thf(1296,plain,
    ! [SV214: $i,SV206: $i,SV191: $i] :
      ( ( ( ( SV191 = SV206 )
          | ~ ( open @ SV214 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV214 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV206 @ SV214 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY495: $i] :
                          ( ~ ( incident_c @ SY495 @ SV214 )
                          | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                          | ( incident_c @ SY496 @ SV214 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1239]) ).

thf(1297,plain,
    ! [SV192: $i,SV207: $i,SV269: $i] :
      ( ( ! [SY538: $i] :
            ( ! [SY539: $i] :
                ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY539 @ SY538 @ SV269 @ SV207 @ SV192 ) @ SY539 )
                        | ~ ( incident_o @ ( sK12_P @ SY539 @ SY538 @ SV269 @ SV207 @ SV192 ) @ SY538 ) )
                    | ~ ( ( incident_c @ ( sK12_P @ SY539 @ SY538 @ SV269 @ SV207 @ SV192 ) @ SY539 )
                        | ( incident_o @ ( sK12_P @ SY539 @ SY538 @ SV269 @ SV207 @ SV192 ) @ SY538 ) ) )
                | ~ ( between_c @ SY539 @ SV192 @ SV207 @ SV269 ) )
            | ( between_o @ SY538 @ SV192 @ SV207 @ SV269 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1240]) ).

thf(1298,plain,
    ! [SV270: $i,SV207: $i,SV192: $i] :
      ( ( ! [SY540: $i] :
            ( ~ ( between_o @ SY540 @ SV192 @ SV207 @ SV270 )
            | ~ ( ~ ~ ( ~ ! [SY541: $i] :
                            ( ~ ( incident_c @ SY541 @ ( sK11_C @ SY540 @ SV270 @ SV207 @ SV192 ) )
                            | ( incident_o @ SY541 @ SY540 ) )
                      | ~ ! [SY542: $i] :
                            ( ~ ( incident_o @ SY542 @ SY540 )
                            | ( incident_c @ SY542 @ ( sK11_C @ SY540 @ SV270 @ SV207 @ SV192 ) ) ) )
                | ~ ( between_c @ ( sK11_C @ SY540 @ SV270 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SV270 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1241]) ).

thf(1299,plain,
    ! [SV255: $i,SV232: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ SV232 @ SV255 ) ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ SV255 @ SV232 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1242]) ).

thf(1300,plain,
    ! [SV233: $i,SV256: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ SV256 @ SV233 ) ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ SV233 @ SV256 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1243]) ).

thf(1301,plain,
    ! [SV271: $i,SV257: $i,SV193: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SV257 ) @ SV271 ) )
        | ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SV257 @ SV271 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1244]) ).

thf(1302,plain,
    ! [SV272: $i,SV258: $i,SV193: $i] :
      ( ( ~ ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SV258 @ SV272 ) ) )
        | ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SV258 ) @ SV272 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1245]) ).

thf(1303,plain,
    ! [SV234: $i,SV259: $i] :
      ( ( ( ~ ( incident_o @ SV259 @ ( trajectory_of @ SV234 ) ) )
        = $true )
      | ( ( once @ ( at @ SV234 @ SV259 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1246]) ).

thf(1304,plain,
    ! [SV260: $i,SV235: $i] :
      ( ( ( ~ ( once @ ( at @ SV235 @ SV260 ) ) )
        = $true )
      | ( ( incident_o @ SV260 @ ( trajectory_of @ SV235 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1247]) ).

thf(1305,plain,
    ! [SV236: $i,SV273: $i] :
      ( ( ( ~ ( end_point @ SV273 @ SV236 ) )
        = $true )
      | ( ( open @ SV236 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1248]) ).

thf(1306,plain,
    ! [SV237: $i] :
      ( ( ( open @ SV237 )
        = $false )
      | ( ( end_point @ ( sK23_P @ SV237 ) @ SV237 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1249]) ).

thf(1307,plain,
    ! [SV208: $i,SV194: $i] :
      ( ( ( ~ ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
          | ~ ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) )
        = $true )
      | ( ( SV194 = SV208 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1250]) ).

thf(1308,plain,
    ! [SV208: $i,SV194: $i] :
      ( ( ( ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
          | ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) )
        = $true )
      | ( ( SV194 = SV208 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1251]) ).

thf(1309,plain,
    ! [SV274: $i,SV195: $i,SV209: $i] :
      ( ( ! [SY543: $i] :
            ( ( SV209 = SY543 )
            | ! [SY544: $i] :
                ( ~ ( end_point @ SV209 @ SY544 )
                | ~ ( part_of @ SY544 @ SV195 )
                | ~ ( end_point @ SY543 @ SY544 )
                | ~ ( inner_point @ SV274 @ SY544 ) )
            | ( between_c @ SV195 @ SV209 @ SV274 @ SY543 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1252]) ).

thf(1310,plain,
    ! [SV209: $i,SV195: $i] :
      ( ( ~ ! [SY483: $i,SY484: $i] :
              ( ~ ( between_c @ SV195 @ SV209 @ SY483 @ SY484 )
              | ( SV209 != SY484 ) )
        | ~ ! [SY485: $i,SY486: $i] :
              ( ~ ( between_c @ SV195 @ SV209 @ SY485 @ SY486 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) )
                              | ~ ( part_of @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) @ SV195 ) )
                        | ~ ( end_point @ SY486 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) )
                  | ~ ( inner_point @ SY485 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1253]) ).

thf(1311,plain,
    ! [SV215: $i,SV210: $i,SV172: $i,SV197: $i] :
      ( ( ( ~ ( part_of @ SV197 @ SV172 )
          | ~ ( part_of @ SV210 @ SV172 ) )
        = $true )
      | ( ( ~ ( part_of @ SV215 @ SV172 ) )
        = $true )
      | ( ( ! [SY497: $i] :
              ( ~ ( end_point @ SY497 @ SV197 )
              | ~ ( end_point @ SY497 @ SV210 )
              | ~ ( end_point @ SY497 @ SV215 ) ) )
        = $true )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1254]) ).

thf(1312,plain,
    ! [SV216: $i,SV211: $i,SV174: $i,SV198: $i] :
      ( ( ( ~ ( end_point @ SV198 @ SV174 ) )
        = $true )
      | ( ( ~ ( end_point @ SV211 @ SV174 ) )
        = $true )
      | ( ( ~ ( end_point @ SV216 @ SV174 ) )
        = $true )
      | ( ( ( SV211 = SV216 )
          | ( SV198 = SV211 )
          | ( SV198 = SV216 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1255]) ).

thf(1313,plain,
    ! [SV212: $i,SV199: $i,SV175: $i] :
      ( ( ( closed @ SV175 )
        = $false )
      | ( ( ! [SY490: $i] :
              ~ ( meet @ SY490 @ SV199 @ SV212 ) )
        = $true )
      | ( ( ( SV175
           != ( sum @ SV199 @ SV212 ) ) )
        = $true )
      | ( ( ! [SY491: $i] :
              ( ~ ( end_point @ SY491 @ SV199 )
              | ( meet @ SY491 @ SV199 @ SV212 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1256]) ).

thf(1314,plain,
    ! [SV218: $i,SV213: $i,SV201: $i,SV261: $i,SV180: $i,SV238: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV238 @ SV180 ) @ ( at @ SV261 @ SV201 ) ) )
          | ~ ( once @ ( at_the_same_time @ ( at @ SV238 @ SV213 ) @ ( at @ SV261 @ SV218 ) ) ) )
        = $true )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV238 ) @ SV180 @ SV213 )
          | ~ ( ordered_by @ ( trajectory_of @ SV261 ) @ SV218 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1257]) ).

thf(1315,plain,
    ! [SV220: $i,SV275: $i] :
      ( ( ( ~ ( end_point @ SV275 @ SV220 ) )
        = $true )
      | ( ( closed @ SV220 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1258]) ).

thf(1316,plain,
    ! [SV276: $i,SV239: $i,SV182: $i] :
      ( ( ( ~ ( ordered_by @ SV182 @ SV239 @ SV276 ) )
        = $true )
      | ( ( incident_o @ SV239 @ SV182 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1259]) ).

thf(1317,plain,
    ! [SV262: $i,SV240: $i,SV182: $i] :
      ( ( ( ~ ( ordered_by @ SV182 @ SV240 @ SV262 ) )
        = $true )
      | ( ( incident_o @ SV262 @ SV182 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1260]) ).

thf(1318,plain,
    ! [SV222: $i,SV241: $i] :
      ( ( ( ~ ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV241 )
          | ~ ~ ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV222 ) )
        = $false )
      | ( ( part_of @ SV241 @ SV222 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1261]) ).

thf(1319,plain,
    ! [SV223: $i,SV242: $i] :
      ( ( ( part_of @ SV242 @ SV223 )
        = $false )
      | ( ( ! [SY522: $i] :
              ( ~ ( incident_c @ SY522 @ SV242 )
              | ( incident_c @ SY522 @ SV223 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1262]) ).

thf(1320,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
              | ~ ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) )
          | ~ ( ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
              | ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) ) )
        = $false )
      | ( ( SV224
          = ( underlying_curve @ SV243 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1263]) ).

thf(1321,plain,
    ! [SV244: $i,SV225: $i] :
      ( ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY523: $i] :
                    ( ~ ( incident_c @ SY523 @ SV225 )
                    | ( incident_o @ SY523 @ SV244 ) )
              | ~ ! [SY524: $i] :
                    ( ~ ( incident_o @ SY524 @ SV244 )
                    | ( incident_c @ SY524 @ SV225 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1264]) ).

thf(1322,plain,
    ! [SV183: $i] :
      ( ( ! [SY381: $i] :
            ( ~ ( incident_c @ SY381 @ ( sK13_C @ SV183 ) )
            | ( incident_o @ SY381 @ SV183 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1265]) ).

thf(1323,plain,
    ! [SV183: $i] :
      ( ( ! [SY382: $i] :
            ( ~ ( incident_o @ SY382 @ SV183 )
            | ( incident_c @ SY382 @ ( sK13_C @ SV183 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1266]) ).

thf(1324,plain,
    ! [SV245: $i,SV226: $i] :
      ( ( ( ~ ( incident_c @ SV226 @ SV245 ) )
        = $true )
      | ( ( end_point @ SV226 @ SV245 )
        = $true )
      | ( ( inner_point @ SV226 @ SV245 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1267]) ).

thf(1325,plain,
    ! [SV277: $i] :
      ( ( ! [SY545: $i] :
            ( ~ ( inner_point @ SV277 @ SY545 )
            | ( incident_c @ SV277 @ SY545 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1268]) ).

thf(1326,plain,
    ! [SV278: $i] :
      ( ( ! [SY546: $i] :
            ( ~ ( inner_point @ SV278 @ SY546 )
            | ~ ( end_point @ SV278 @ SY546 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1269]) ).

thf(1327,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV227
                         != ( sK14_Q @ SV246 @ SV227 ) ) )
                    | ~ ( incident_o @ ( sK14_Q @ SV246 @ SV227 ) @ SV246 ) )
              | ~ ~ ( ordered_by @ SV246 @ ( sK14_Q @ SV246 @ SV227 ) @ SV227 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1270]) ).

thf(1328,plain,
    ! [SV279: $i] :
      ( ( ! [SY547: $i] :
            ( ~ ( finish_point @ SV279 @ SY547 )
            | ! [SY548: $i] :
                ( ( SV279 = SY548 )
                | ~ ( incident_o @ SY548 @ SY547 )
                | ( ordered_by @ SY547 @ SY548 @ SV279 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1271]) ).

thf(1329,plain,
    ! [SV280: $i] :
      ( ( ! [SY549: $i] :
            ( ~ ( finish_point @ SV280 @ SY549 )
            | ( incident_o @ SV280 @ SY549 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1272]) ).

thf(1330,plain,
    ! [SV202: $i,SV184: $i] :
      ( ( ( SV184
          = ( sum @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) ) )
        = $true )
      | ( ( inner_point @ SV202 @ SV184 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1273]) ).

thf(1331,plain,
    ! [SV184: $i,SV202: $i] :
      ( ( ( meet @ SV202 @ ( sK20_C1 @ SV202 @ SV184 ) @ ( sK21_SY131 @ SV202 @ SV184 ) )
        = $true )
      | ( ( inner_point @ SV202 @ SV184 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1274]) ).

thf(1332,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                                | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
                          | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) )
                    | ~ ( incident_c @ SV228 @ ( sK27_SY132 @ SV247 @ SV228 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) )
                    | ~ ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1275]) ).

thf(1333,plain,
    ! [SV281: $i] :
      ( ( ! [SY550: $i] :
            ( ~ ( end_point @ SV281 @ SY550 )
            | ! [SY551: $i,SY552: $i] :
                ( ~ ( part_of @ SY551 @ SY550 )
                | ~ ( part_of @ SY552 @ SY550 )
                | ~ ( incident_c @ SV281 @ SY551 )
                | ~ ( incident_c @ SV281 @ SY552 )
                | ( part_of @ SY551 @ SY552 )
                | ( part_of @ SY552 @ SY551 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1276]) ).

thf(1334,plain,
    ! [SV282: $i] :
      ( ( ! [SY553: $i] :
            ( ~ ( end_point @ SV282 @ SY553 )
            | ( incident_c @ SV282 @ SY553 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1277]) ).

thf(1335,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                        | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 ) )
                    | ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                        | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) )
              | ~ ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                  | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 )
                  | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1278]) ).

thf(1336,plain,
    ! [SV264: $i,SV249: $i,SV185: $i] :
      ( ( ( ( SV185
           != ( sum @ SV249 @ SV264 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY535: $i] :
                    ( ~ ( incident_c @ SY535 @ SV185 )
                    | ( incident_c @ SY535 @ SV249 )
                    | ( incident_c @ SY535 @ SV264 ) )
              | ~ ~ ( ~ ! [SY528: $i] :
                          ( ~ ( incident_c @ SY528 @ SV249 )
                          | ( incident_c @ SY528 @ SV185 ) )
                    | ~ ! [SY537: $i] :
                          ( ~ ( incident_c @ SY537 @ SV264 )
                          | ( incident_c @ SY537 @ SV185 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1279]) ).

thf(1337,plain,
    ! [SV186: $i,SV203: $i] :
      ( ( ( ( SV203
           != ( sK19_Q @ SV203 @ SV186 ) ) )
        = $true )
      | ( ( end_point @ SV203 @ SV186 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1280]) ).

thf(1338,plain,
    ! [SV186: $i,SV203: $i] :
      ( ( ( end_point @ ( sK19_Q @ SV203 @ SV186 ) @ SV186 )
        = $true )
      | ( ( end_point @ SV203 @ SV186 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1281]) ).

thf(1339,plain,
    ! [SV265: $i,SV229: $i] :
      ( ( ( once @ ( at_the_same_time @ SV229 @ SV265 ) )
        = $false )
      | ( ( once @ SV229 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1282]) ).

thf(1340,plain,
    ! [SV250: $i,SV230: $i] :
      ( ( ( once @ ( at_the_same_time @ SV230 @ SV250 ) )
        = $false )
      | ( ( once @ SV250 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1283]) ).

thf(1341,plain,
    ! [SV266: $i,SV251: $i,SV187: $i] :
      ( ( ( ~ ( connect @ SV187 @ SV251 @ SV266 ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ ( at @ SV187 @ SV266 ) @ ( at @ SV251 @ SV266 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1284]) ).

thf(1342,plain,
    ! [SV252: $i,SV267: $i,SV187: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV187 @ SV267 ) @ ( at @ SV252 @ SV267 ) ) ) )
        = $true )
      | ( ( connect @ SV187 @ SV252 @ SV267 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1285]) ).

thf(1343,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ~ ( ~ ! [SY458: $i,SY459: $i] :
                    ( ~ ( between_o @ SV188 @ SV204 @ SY458 @ SY459 )
                    | ( ordered_by @ SV188 @ SV204 @ SY458 )
                    | ( ordered_by @ SV188 @ SY459 @ SY458 ) )
              | ~ ! [SY460: $i] :
                    ( ! [SY461: $i] :
                        ~ ( between_o @ SV188 @ SV204 @ SY460 @ SY461 )
                    | ( ordered_by @ SV188 @ SV204 @ SY460 )
                    | ( ordered_by @ SV188 @ SY460 @ SV204 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1286]) ).

thf(1344,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ~ ( ~ ! [SY462: $i,SY463: $i] :
                    ( ~ ( between_o @ SV188 @ SV204 @ SY462 @ SY463 )
                    | ( ordered_by @ SV188 @ SY462 @ SY463 )
                    | ( ordered_by @ SV188 @ SY463 @ SY462 ) )
              | ~ ! [SY464: $i,SY465: $i] :
                    ( ~ ( between_o @ SV188 @ SV204 @ SY464 @ SY465 )
                    | ( ordered_by @ SV188 @ SY464 @ SY465 )
                    | ( ordered_by @ SV188 @ SY464 @ SV204 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1286]) ).

thf(1345,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ! [SY466: $i,SY467: $i] :
              ( ~ ( ordered_by @ SV188 @ SV204 @ SY466 )
              | ~ ( ordered_by @ SV188 @ SY466 @ SY467 )
              | ( between_o @ SV188 @ SV204 @ SY466 @ SY467 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1287]) ).

thf(1346,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ! [SY468: $i,SY469: $i] :
              ( ~ ( ordered_by @ SV188 @ SY469 @ SY468 )
              | ~ ( ordered_by @ SV188 @ SY468 @ SV204 )
              | ( between_o @ SV188 @ SV204 @ SY468 @ SY469 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1287]) ).

thf(1347,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
                    | ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) )
              | ~ ( ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
                  | ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) ) )
          | ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1288]) ).

thf(1348,plain,
    ! [SV189: $i] :
      ( ( ! [SY411: $i,SY412: $i] :
            ( ~ ( meet @ SV189 @ SY411 @ SY412 )
            | ~ ( ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY411 )
                      | ~ ( incident_c @ SX3 @ SY412 )
                      | ( end_point @ SX3 @ SY411 ) )
                | ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY411 )
                      | ~ ( incident_c @ SX3 @ SY412 )
                      | ( end_point @ SX3 @ SY412 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1289]) ).

thf(1349,plain,
    ! [SV189: $i] :
      ( ( ~ ( ~ ! [SY415: $i] :
                  ( ! [SY416: $i] :
                      ~ ( meet @ SV189 @ SY415 @ SY416 )
                  | ( incident_c @ SV189 @ SY415 ) )
            | ~ ! [SY417: $i,SY418: $i] :
                  ( ~ ( meet @ SV189 @ SY417 @ SY418 )
                  | ( incident_c @ SV189 @ SY418 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1290]) ).

thf(1350,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) )
        = $true )
      | ( ( SV190 = SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1291]) ).

thf(1351,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
        = $true )
      | ( ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 )
        = $true )
      | ( ( SV190 = SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1292]) ).

thf(1352,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ( SV231
                         != ( sK15_Q @ SV254 @ SV231 ) ) )
                    | ~ ( incident_o @ ( sK15_Q @ SV254 @ SV231 ) @ SV254 ) )
              | ~ ~ ( ordered_by @ SV254 @ SV231 @ ( sK15_Q @ SV254 @ SV231 ) ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1293]) ).

thf(1353,plain,
    ! [SV283: $i] :
      ( ( ! [SY554: $i] :
            ( ~ ( start_point @ SV283 @ SY554 )
            | ! [SY555: $i] :
                ( ( SV283 = SY555 )
                | ~ ( incident_o @ SY555 @ SY554 )
                | ( ordered_by @ SY554 @ SV283 @ SY555 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1294]) ).

thf(1354,plain,
    ! [SV284: $i] :
      ( ( ! [SY556: $i] :
            ( ~ ( start_point @ SV284 @ SY556 )
            | ( incident_o @ SV284 @ SY556 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1295]) ).

thf(1355,plain,
    ! [SV214: $i,SV206: $i,SV191: $i] :
      ( ( ( SV191 = SV206 )
        = $true )
      | ( ( ~ ( open @ SV214 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV214 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV206 @ SV214 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY495: $i] :
                          ( ~ ( incident_c @ SY495 @ SV214 )
                          | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                          | ( incident_c @ SY496 @ SV214 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1296]) ).

thf(1356,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i] :
      ( ( ! [SY557: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY557 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SY557 )
                    | ~ ( incident_o @ ( sK12_P @ SY557 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) )
                | ~ ( ( incident_c @ ( sK12_P @ SY557 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SY557 )
                    | ( incident_o @ ( sK12_P @ SY557 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) ) )
            | ~ ( between_c @ SY557 @ SV192 @ SV207 @ SV269 ) )
        | ( between_o @ SV285 @ SV192 @ SV207 @ SV269 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1297]) ).

thf(1357,plain,
    ! [SV270: $i,SV207: $i,SV192: $i,SV286: $i] :
      ( ( ~ ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        | ~ ( ~ ~ ( ~ ! [SY558: $i] :
                        ( ~ ( incident_c @ SY558 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
                        | ( incident_o @ SY558 @ SV286 ) )
                  | ~ ! [SY559: $i] :
                        ( ~ ( incident_o @ SY559 @ SV286 )
                        | ( incident_c @ SY559 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) ) )
            | ~ ( between_c @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SV270 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1298]) ).

thf(1358,plain,
    ! [SV255: $i,SV232: $i] :
      ( ( ( once @ ( at_the_same_time @ SV232 @ SV255 ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ SV255 @ SV232 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1299]) ).

thf(1359,plain,
    ! [SV233: $i,SV256: $i] :
      ( ( ( once @ ( at_the_same_time @ SV256 @ SV233 ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ SV233 @ SV256 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1300]) ).

thf(1360,plain,
    ! [SV271: $i,SV257: $i,SV193: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SV257 ) @ SV271 ) ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SV257 @ SV271 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1301]) ).

thf(1361,plain,
    ! [SV272: $i,SV258: $i,SV193: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SV258 @ SV272 ) ) ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SV258 ) @ SV272 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1302]) ).

thf(1362,plain,
    ! [SV234: $i,SV259: $i] :
      ( ( ( incident_o @ SV259 @ ( trajectory_of @ SV234 ) )
        = $false )
      | ( ( once @ ( at @ SV234 @ SV259 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1303]) ).

thf(1363,plain,
    ! [SV260: $i,SV235: $i] :
      ( ( ( once @ ( at @ SV235 @ SV260 ) )
        = $false )
      | ( ( incident_o @ SV260 @ ( trajectory_of @ SV235 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1304]) ).

thf(1364,plain,
    ! [SV236: $i,SV273: $i] :
      ( ( ( end_point @ SV273 @ SV236 )
        = $false )
      | ( ( open @ SV236 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1305]) ).

thf(1365,plain,
    ! [SV208: $i,SV194: $i] :
      ( ( ( ~ ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) )
        = $true )
      | ( ( ~ ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) )
        = $true )
      | ( ( SV194 = SV208 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1307]) ).

thf(1366,plain,
    ! [SV208: $i,SV194: $i] :
      ( ( ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
        = $true )
      | ( ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
        = $true )
      | ( ( SV194 = SV208 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1308]) ).

thf(1367,plain,
    ! [SV274: $i,SV195: $i,SV287: $i,SV209: $i] :
      ( ( ( SV209 = SV287 )
        | ! [SY560: $i] :
            ( ~ ( end_point @ SV209 @ SY560 )
            | ~ ( part_of @ SY560 @ SV195 )
            | ~ ( end_point @ SV287 @ SY560 )
            | ~ ( inner_point @ SV274 @ SY560 ) )
        | ( between_c @ SV195 @ SV209 @ SV274 @ SV287 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1309]) ).

thf(1368,plain,
    ! [SV209: $i,SV195: $i] :
      ( ( ~ ! [SY483: $i,SY484: $i] :
              ( ~ ( between_c @ SV195 @ SV209 @ SY483 @ SY484 )
              | ( SV209 != SY484 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1310]) ).

thf(1369,plain,
    ! [SV209: $i,SV195: $i] :
      ( ( ~ ! [SY485: $i,SY486: $i] :
              ( ~ ( between_c @ SV195 @ SV209 @ SY485 @ SY486 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) )
                              | ~ ( part_of @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) @ SV195 ) )
                        | ~ ( end_point @ SY486 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) )
                  | ~ ( inner_point @ SY485 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1310]) ).

thf(1370,plain,
    ! [SV215: $i,SV210: $i,SV172: $i,SV197: $i] :
      ( ( ( ~ ( part_of @ SV197 @ SV172 ) )
        = $true )
      | ( ( ~ ( part_of @ SV210 @ SV172 ) )
        = $true )
      | ( ( ~ ( part_of @ SV215 @ SV172 ) )
        = $true )
      | ( ( ! [SY497: $i] :
              ( ~ ( end_point @ SY497 @ SV197 )
              | ~ ( end_point @ SY497 @ SV210 )
              | ~ ( end_point @ SY497 @ SV215 ) ) )
        = $true )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1311]) ).

thf(1371,plain,
    ! [SV216: $i,SV211: $i,SV174: $i,SV198: $i] :
      ( ( ( end_point @ SV198 @ SV174 )
        = $false )
      | ( ( ~ ( end_point @ SV211 @ SV174 ) )
        = $true )
      | ( ( ~ ( end_point @ SV216 @ SV174 ) )
        = $true )
      | ( ( ( SV211 = SV216 )
          | ( SV198 = SV211 )
          | ( SV198 = SV216 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1312]) ).

thf(1372,plain,
    ! [SV175: $i,SV212: $i,SV199: $i,SV288: $i] :
      ( ( ( ~ ( meet @ SV288 @ SV199 @ SV212 ) )
        = $true )
      | ( ( closed @ SV175 )
        = $false )
      | ( ( ( SV175
           != ( sum @ SV199 @ SV212 ) ) )
        = $true )
      | ( ( ! [SY491: $i] :
              ( ~ ( end_point @ SY491 @ SV199 )
              | ( meet @ SY491 @ SV199 @ SV212 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1313]) ).

thf(1373,plain,
    ! [SV218: $i,SV213: $i,SV201: $i,SV261: $i,SV180: $i,SV238: $i] :
      ( ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV238 @ SV180 ) @ ( at @ SV261 @ SV201 ) ) ) )
        = $true )
      | ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV238 @ SV213 ) @ ( at @ SV261 @ SV218 ) ) ) )
        = $true )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV238 ) @ SV180 @ SV213 )
          | ~ ( ordered_by @ ( trajectory_of @ SV261 ) @ SV218 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1314]) ).

thf(1374,plain,
    ! [SV220: $i,SV275: $i] :
      ( ( ( end_point @ SV275 @ SV220 )
        = $false )
      | ( ( closed @ SV220 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1315]) ).

thf(1375,plain,
    ! [SV276: $i,SV239: $i,SV182: $i] :
      ( ( ( ordered_by @ SV182 @ SV239 @ SV276 )
        = $false )
      | ( ( incident_o @ SV239 @ SV182 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1316]) ).

thf(1376,plain,
    ! [SV262: $i,SV240: $i,SV182: $i] :
      ( ( ( ordered_by @ SV182 @ SV240 @ SV262 )
        = $false )
      | ( ( incident_o @ SV262 @ SV182 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1317]) ).

thf(1377,plain,
    ! [SV222: $i,SV241: $i] :
      ( ( ( ~ ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV241 ) )
        = $false )
      | ( ( part_of @ SV241 @ SV222 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1318]) ).

thf(1378,plain,
    ! [SV222: $i,SV241: $i] :
      ( ( ( ~ ~ ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV222 ) )
        = $false )
      | ( ( part_of @ SV241 @ SV222 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1318]) ).

thf(1379,plain,
    ! [SV223: $i,SV242: $i,SV289: $i] :
      ( ( ( ~ ( incident_c @ SV289 @ SV242 )
          | ( incident_c @ SV289 @ SV223 ) )
        = $true )
      | ( ( part_of @ SV242 @ SV223 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1319]) ).

thf(1380,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
              | ~ ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) ) )
        = $false )
      | ( ( SV224
          = ( underlying_curve @ SV243 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1320]) ).

thf(1381,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
              | ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) ) )
        = $false )
      | ( ( SV224
          = ( underlying_curve @ SV243 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1320]) ).

thf(1382,plain,
    ! [SV244: $i,SV225: $i] :
      ( ( ( ~ ! [SY523: $i] :
                ( ~ ( incident_c @ SY523 @ SV225 )
                | ( incident_o @ SY523 @ SV244 ) )
          | ~ ! [SY524: $i] :
                ( ~ ( incident_o @ SY524 @ SV244 )
                | ( incident_c @ SY524 @ SV225 ) ) )
        = $false )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1321]) ).

thf(1383,plain,
    ! [SV183: $i,SV290: $i] :
      ( ( ~ ( incident_c @ SV290 @ ( sK13_C @ SV183 ) )
        | ( incident_o @ SV290 @ SV183 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1322]) ).

thf(1384,plain,
    ! [SV183: $i,SV291: $i] :
      ( ( ~ ( incident_o @ SV291 @ SV183 )
        | ( incident_c @ SV291 @ ( sK13_C @ SV183 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1323]) ).

thf(1385,plain,
    ! [SV245: $i,SV226: $i] :
      ( ( ( incident_c @ SV226 @ SV245 )
        = $false )
      | ( ( end_point @ SV226 @ SV245 )
        = $true )
      | ( ( inner_point @ SV226 @ SV245 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1324]) ).

thf(1386,plain,
    ! [SV292: $i,SV277: $i] :
      ( ( ~ ( inner_point @ SV277 @ SV292 )
        | ( incident_c @ SV277 @ SV292 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1325]) ).

thf(1387,plain,
    ! [SV293: $i,SV278: $i] :
      ( ( ~ ( inner_point @ SV278 @ SV293 )
        | ~ ( end_point @ SV278 @ SV293 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1326]) ).

thf(1388,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV227
                     != ( sK14_Q @ SV246 @ SV227 ) ) )
                | ~ ( incident_o @ ( sK14_Q @ SV246 @ SV227 ) @ SV246 ) )
          | ~ ~ ( ordered_by @ SV246 @ ( sK14_Q @ SV246 @ SV227 ) @ SV227 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1327]) ).

thf(1389,plain,
    ! [SV294: $i,SV279: $i] :
      ( ( ~ ( finish_point @ SV279 @ SV294 )
        | ! [SY561: $i] :
            ( ( SV279 = SY561 )
            | ~ ( incident_o @ SY561 @ SV294 )
            | ( ordered_by @ SV294 @ SY561 @ SV279 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1328]) ).

thf(1390,plain,
    ! [SV295: $i,SV280: $i] :
      ( ( ~ ( finish_point @ SV280 @ SV295 )
        | ( incident_o @ SV280 @ SV295 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1329]) ).

thf(1391,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                            | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
                      | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) )
                | ~ ( incident_c @ SV228 @ ( sK27_SY132 @ SV247 @ SV228 ) ) )
          | ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) )
                | ~ ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1332]) ).

thf(1392,plain,
    ! [SV296: $i,SV281: $i] :
      ( ( ~ ( end_point @ SV281 @ SV296 )
        | ! [SY562: $i,SY563: $i] :
            ( ~ ( part_of @ SY562 @ SV296 )
            | ~ ( part_of @ SY563 @ SV296 )
            | ~ ( incident_c @ SV281 @ SY562 )
            | ~ ( incident_c @ SV281 @ SY563 )
            | ( part_of @ SY562 @ SY563 )
            | ( part_of @ SY563 @ SY562 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1333]) ).

thf(1393,plain,
    ! [SV297: $i,SV282: $i] :
      ( ( ~ ( end_point @ SV282 @ SV297 )
        | ( incident_c @ SV282 @ SV297 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1334]) ).

thf(1394,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                    | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 ) )
                | ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                    | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) )
          | ~ ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
              | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 )
              | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1335]) ).

thf(1395,plain,
    ! [SV264: $i,SV249: $i,SV185: $i] :
      ( ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY535: $i] :
                    ( ~ ( incident_c @ SY535 @ SV185 )
                    | ( incident_c @ SY535 @ SV249 )
                    | ( incident_c @ SY535 @ SV264 ) )
              | ~ ~ ( ~ ! [SY528: $i] :
                          ( ~ ( incident_c @ SY528 @ SV249 )
                          | ( incident_c @ SY528 @ SV185 ) )
                    | ~ ! [SY537: $i] :
                          ( ~ ( incident_c @ SY537 @ SV264 )
                          | ( incident_c @ SY537 @ SV185 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1336]) ).

thf(1396,plain,
    ! [SV186: $i,SV203: $i] :
      ( ( ( SV203
          = ( sK19_Q @ SV203 @ SV186 ) )
        = $false )
      | ( ( end_point @ SV203 @ SV186 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1337]) ).

thf(1397,plain,
    ! [SV266: $i,SV251: $i,SV187: $i] :
      ( ( ( connect @ SV187 @ SV251 @ SV266 )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV187 @ SV266 ) @ ( at @ SV251 @ SV266 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1341]) ).

thf(1398,plain,
    ! [SV252: $i,SV267: $i,SV187: $i] :
      ( ( ( once @ ( at_the_same_time @ ( at @ SV187 @ SV267 ) @ ( at @ SV252 @ SV267 ) ) )
        = $false )
      | ( ( connect @ SV187 @ SV252 @ SV267 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1342]) ).

thf(1399,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ( ~ ! [SY458: $i,SY459: $i] :
                  ( ~ ( between_o @ SV188 @ SV204 @ SY458 @ SY459 )
                  | ( ordered_by @ SV188 @ SV204 @ SY458 )
                  | ( ordered_by @ SV188 @ SY459 @ SY458 ) )
            | ~ ! [SY460: $i] :
                  ( ! [SY461: $i] :
                      ~ ( between_o @ SV188 @ SV204 @ SY460 @ SY461 )
                  | ( ordered_by @ SV188 @ SV204 @ SY460 )
                  | ( ordered_by @ SV188 @ SY460 @ SV204 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1343]) ).

thf(1400,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ( ~ ! [SY462: $i,SY463: $i] :
                  ( ~ ( between_o @ SV188 @ SV204 @ SY462 @ SY463 )
                  | ( ordered_by @ SV188 @ SY462 @ SY463 )
                  | ( ordered_by @ SV188 @ SY463 @ SY462 ) )
            | ~ ! [SY464: $i,SY465: $i] :
                  ( ~ ( between_o @ SV188 @ SV204 @ SY464 @ SY465 )
                  | ( ordered_by @ SV188 @ SY464 @ SY465 )
                  | ( ordered_by @ SV188 @ SY464 @ SV204 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1344]) ).

thf(1401,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ! [SY466: $i,SY467: $i] :
            ( ~ ( ordered_by @ SV188 @ SV204 @ SY466 )
            | ~ ( ordered_by @ SV188 @ SY466 @ SY467 )
            | ( between_o @ SV188 @ SV204 @ SY466 @ SY467 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1345]) ).

thf(1402,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ! [SY468: $i,SY469: $i] :
            ( ~ ( ordered_by @ SV188 @ SY469 @ SY468 )
            | ~ ( ordered_by @ SV188 @ SY468 @ SV204 )
            | ( between_o @ SV188 @ SV204 @ SY468 @ SY469 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1346]) ).

thf(1403,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
                    | ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) )
              | ~ ( ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
                  | ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1347]) ).

thf(1404,plain,
    ! [SV298: $i,SV189: $i] :
      ( ( ! [SY564: $i] :
            ( ~ ( meet @ SV189 @ SV298 @ SY564 )
            | ~ ( ~ ! [SY565: $i] :
                      ( ~ ( incident_c @ SY565 @ SV298 )
                      | ~ ( incident_c @ SY565 @ SY564 )
                      | ( end_point @ SY565 @ SV298 ) )
                | ~ ! [SY566: $i] :
                      ( ~ ( incident_c @ SY566 @ SV298 )
                      | ~ ( incident_c @ SY566 @ SY564 )
                      | ( end_point @ SY566 @ SY564 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1348]) ).

thf(1405,plain,
    ! [SV189: $i] :
      ( ( ~ ! [SY415: $i] :
              ( ! [SY416: $i] :
                  ~ ( meet @ SV189 @ SY415 @ SY416 )
              | ( incident_c @ SV189 @ SY415 ) )
        | ~ ! [SY417: $i,SY418: $i] :
              ( ~ ( meet @ SV189 @ SY417 @ SY418 )
              | ( incident_c @ SV189 @ SY418 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1349]) ).

thf(1406,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 ) )
        = $true )
      | ( ( SV190 = SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1350]) ).

thf(1407,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV231
                     != ( sK15_Q @ SV254 @ SV231 ) ) )
                | ~ ( incident_o @ ( sK15_Q @ SV254 @ SV231 ) @ SV254 ) )
          | ~ ~ ( ordered_by @ SV254 @ SV231 @ ( sK15_Q @ SV254 @ SV231 ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1352]) ).

thf(1408,plain,
    ! [SV299: $i,SV283: $i] :
      ( ( ~ ( start_point @ SV283 @ SV299 )
        | ! [SY567: $i] :
            ( ( SV283 = SY567 )
            | ~ ( incident_o @ SY567 @ SV299 )
            | ( ordered_by @ SV299 @ SV283 @ SY567 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1353]) ).

thf(1409,plain,
    ! [SV300: $i,SV284: $i] :
      ( ( ~ ( start_point @ SV284 @ SV300 )
        | ( incident_o @ SV284 @ SV300 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1354]) ).

thf(1410,plain,
    ! [SV206: $i,SV191: $i,SV214: $i] :
      ( ( ( open @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV214 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV206 @ SV214 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY495: $i] :
                          ( ~ ( incident_c @ SY495 @ SV214 )
                          | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                          | ( incident_c @ SY496 @ SV214 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1355]) ).

thf(1411,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i] :
      ( ( ( ! [SY557: $i] :
              ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SY557 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SY557 )
                      | ~ ( incident_o @ ( sK12_P @ SY557 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) )
                  | ~ ( ( incident_c @ ( sK12_P @ SY557 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SY557 )
                      | ( incident_o @ ( sK12_P @ SY557 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) ) )
              | ~ ( between_c @ SY557 @ SV192 @ SV207 @ SV269 ) ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1356]) ).

thf(1412,plain,
    ! [SV270: $i,SV207: $i,SV192: $i,SV286: $i] :
      ( ( ( ~ ( between_o @ SV286 @ SV192 @ SV207 @ SV270 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY558: $i] :
                          ( ~ ( incident_c @ SY558 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
                          | ( incident_o @ SY558 @ SV286 ) )
                    | ~ ! [SY559: $i] :
                          ( ~ ( incident_o @ SY559 @ SV286 )
                          | ( incident_c @ SY559 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) ) )
              | ~ ( between_c @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SV270 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1357]) ).

thf(1413,plain,
    ! [SV271: $i,SV257: $i,SV193: $i] :
      ( ( ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SV257 ) @ SV271 ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SV257 @ SV271 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1360]) ).

thf(1414,plain,
    ! [SV272: $i,SV258: $i,SV193: $i] :
      ( ( ( once @ ( at_the_same_time @ SV193 @ ( at_the_same_time @ SV258 @ SV272 ) ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at_the_same_time @ SV193 @ SV258 ) @ SV272 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1361]) ).

thf(1415,plain,
    ! [SV208: $i,SV194: $i] :
      ( ( ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
        = $false )
      | ( ( ~ ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) ) )
        = $true )
      | ( ( SV194 = SV208 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1365]) ).

thf(1416,plain,
    ! [SV274: $i,SV195: $i,SV287: $i,SV209: $i] :
      ( ( ( ( SV209 = SV287 )
          | ! [SY560: $i] :
              ( ~ ( end_point @ SV209 @ SY560 )
              | ~ ( part_of @ SY560 @ SV195 )
              | ~ ( end_point @ SV287 @ SY560 )
              | ~ ( inner_point @ SV274 @ SY560 ) ) )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV274 @ SV287 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1367]) ).

thf(1417,plain,
    ! [SV209: $i,SV195: $i] :
      ( ( ! [SY483: $i,SY484: $i] :
            ( ~ ( between_c @ SV195 @ SV209 @ SY483 @ SY484 )
            | ( SV209 != SY484 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1368]) ).

thf(1418,plain,
    ! [SV209: $i,SV195: $i] :
      ( ( ! [SY485: $i,SY486: $i] :
            ( ~ ( between_c @ SV195 @ SV209 @ SY485 @ SY486 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) )
                            | ~ ( part_of @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) @ SV195 ) )
                      | ~ ( end_point @ SY486 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) )
                | ~ ( inner_point @ SY485 @ ( sK16_Cpp @ SY486 @ SY485 @ SV209 @ SV195 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1369]) ).

thf(1419,plain,
    ! [SV215: $i,SV210: $i,SV172: $i,SV197: $i] :
      ( ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( ~ ( part_of @ SV210 @ SV172 ) )
        = $true )
      | ( ( ~ ( part_of @ SV215 @ SV172 ) )
        = $true )
      | ( ( ! [SY497: $i] :
              ( ~ ( end_point @ SY497 @ SV197 )
              | ~ ( end_point @ SY497 @ SV210 )
              | ~ ( end_point @ SY497 @ SV215 ) ) )
        = $true )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1370]) ).

thf(1420,plain,
    ! [SV216: $i,SV198: $i,SV174: $i,SV211: $i] :
      ( ( ( end_point @ SV211 @ SV174 )
        = $false )
      | ( ( end_point @ SV198 @ SV174 )
        = $false )
      | ( ( ~ ( end_point @ SV216 @ SV174 ) )
        = $true )
      | ( ( ( SV211 = SV216 )
          | ( SV198 = SV211 )
          | ( SV198 = SV216 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1371]) ).

thf(1421,plain,
    ! [SV175: $i,SV212: $i,SV199: $i,SV288: $i] :
      ( ( ( meet @ SV288 @ SV199 @ SV212 )
        = $false )
      | ( ( closed @ SV175 )
        = $false )
      | ( ( ( SV175
           != ( sum @ SV199 @ SV212 ) ) )
        = $true )
      | ( ( ! [SY491: $i] :
              ( ~ ( end_point @ SY491 @ SV199 )
              | ( meet @ SY491 @ SV199 @ SV212 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1372]) ).

thf(1422,plain,
    ! [SV218: $i,SV213: $i,SV201: $i,SV261: $i,SV180: $i,SV238: $i] :
      ( ( ( once @ ( at_the_same_time @ ( at @ SV238 @ SV180 ) @ ( at @ SV261 @ SV201 ) ) )
        = $false )
      | ( ( ~ ( once @ ( at_the_same_time @ ( at @ SV238 @ SV213 ) @ ( at @ SV261 @ SV218 ) ) ) )
        = $true )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV238 ) @ SV180 @ SV213 )
          | ~ ( ordered_by @ ( trajectory_of @ SV261 ) @ SV218 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1373]) ).

thf(1423,plain,
    ! [SV222: $i,SV241: $i] :
      ( ( ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV241 )
        = $true )
      | ( ( part_of @ SV241 @ SV222 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1377]) ).

thf(1424,plain,
    ! [SV222: $i,SV241: $i] :
      ( ( ( ~ ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV222 ) )
        = $true )
      | ( ( part_of @ SV241 @ SV222 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1378]) ).

thf(1425,plain,
    ! [SV223: $i,SV242: $i,SV289: $i] :
      ( ( ( ~ ( incident_c @ SV289 @ SV242 ) )
        = $true )
      | ( ( incident_c @ SV289 @ SV223 )
        = $true )
      | ( ( part_of @ SV242 @ SV223 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1379]) ).

thf(1426,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
          | ~ ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) )
        = $true )
      | ( ( SV224
          = ( underlying_curve @ SV243 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1380]) ).

thf(1427,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ( ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
          | ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) )
        = $true )
      | ( ( SV224
          = ( underlying_curve @ SV243 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1381]) ).

thf(1428,plain,
    ! [SV244: $i,SV225: $i] :
      ( ( ( ~ ! [SY523: $i] :
                ( ~ ( incident_c @ SY523 @ SV225 )
                | ( incident_o @ SY523 @ SV244 ) ) )
        = $false )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1382]) ).

thf(1429,plain,
    ! [SV225: $i,SV244: $i] :
      ( ( ( ~ ! [SY524: $i] :
                ( ~ ( incident_o @ SY524 @ SV244 )
                | ( incident_c @ SY524 @ SV225 ) ) )
        = $false )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1382]) ).

thf(1430,plain,
    ! [SV183: $i,SV290: $i] :
      ( ( ( ~ ( incident_c @ SV290 @ ( sK13_C @ SV183 ) ) )
        = $true )
      | ( ( incident_o @ SV290 @ SV183 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1383]) ).

thf(1431,plain,
    ! [SV183: $i,SV291: $i] :
      ( ( ( ~ ( incident_o @ SV291 @ SV183 ) )
        = $true )
      | ( ( incident_c @ SV291 @ ( sK13_C @ SV183 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1384]) ).

thf(1432,plain,
    ! [SV292: $i,SV277: $i] :
      ( ( ( ~ ( inner_point @ SV277 @ SV292 ) )
        = $true )
      | ( ( incident_c @ SV277 @ SV292 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1386]) ).

thf(1433,plain,
    ! [SV293: $i,SV278: $i] :
      ( ( ( ~ ( inner_point @ SV278 @ SV293 ) )
        = $true )
      | ( ( ~ ( end_point @ SV278 @ SV293 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1387]) ).

thf(1434,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV227
                     != ( sK14_Q @ SV246 @ SV227 ) ) )
                | ~ ( incident_o @ ( sK14_Q @ SV246 @ SV227 ) @ SV246 ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1388]) ).

thf(1435,plain,
    ! [SV227: $i,SV246: $i] :
      ( ( ( ~ ~ ( ordered_by @ SV246 @ ( sK14_Q @ SV246 @ SV227 ) @ SV227 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1388]) ).

thf(1436,plain,
    ! [SV294: $i,SV279: $i] :
      ( ( ( ~ ( finish_point @ SV279 @ SV294 ) )
        = $true )
      | ( ( ! [SY561: $i] :
              ( ( SV279 = SY561 )
              | ~ ( incident_o @ SY561 @ SV294 )
              | ( ordered_by @ SV294 @ SY561 @ SV279 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1389]) ).

thf(1437,plain,
    ! [SV295: $i,SV280: $i] :
      ( ( ( ~ ( finish_point @ SV280 @ SV295 ) )
        = $true )
      | ( ( incident_o @ SV280 @ SV295 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1390]) ).

thf(1438,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                            | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
                      | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) )
                | ~ ( incident_c @ SV228 @ ( sK27_SY132 @ SV247 @ SV228 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1391]) ).

thf(1439,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) )
                | ~ ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1391]) ).

thf(1440,plain,
    ! [SV296: $i,SV281: $i] :
      ( ( ( ~ ( end_point @ SV281 @ SV296 ) )
        = $true )
      | ( ( ! [SY562: $i,SY563: $i] :
              ( ~ ( part_of @ SY562 @ SV296 )
              | ~ ( part_of @ SY563 @ SV296 )
              | ~ ( incident_c @ SV281 @ SY562 )
              | ~ ( incident_c @ SV281 @ SY563 )
              | ( part_of @ SY562 @ SY563 )
              | ( part_of @ SY563 @ SY562 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1392]) ).

thf(1441,plain,
    ! [SV297: $i,SV282: $i] :
      ( ( ( ~ ( end_point @ SV282 @ SV297 ) )
        = $true )
      | ( ( incident_c @ SV282 @ SV297 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1393]) ).

thf(1442,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                    | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 ) )
                | ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                    | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1394]) ).

thf(1443,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
              | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 )
              | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1394]) ).

thf(1444,plain,
    ! [SV264: $i,SV249: $i,SV185: $i] :
      ( ( ( ~ ! [SY535: $i] :
                ( ~ ( incident_c @ SY535 @ SV185 )
                | ( incident_c @ SY535 @ SV249 )
                | ( incident_c @ SY535 @ SV264 ) )
          | ~ ~ ( ~ ! [SY528: $i] :
                      ( ~ ( incident_c @ SY528 @ SV249 )
                      | ( incident_c @ SY528 @ SV185 ) )
                | ~ ! [SY537: $i] :
                      ( ~ ( incident_c @ SY537 @ SV264 )
                      | ( incident_c @ SY537 @ SV185 ) ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1395]) ).

thf(1445,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ! [SY458: $i,SY459: $i] :
              ( ~ ( between_o @ SV188 @ SV204 @ SY458 @ SY459 )
              | ( ordered_by @ SV188 @ SV204 @ SY458 )
              | ( ordered_by @ SV188 @ SY459 @ SY458 ) )
        | ~ ! [SY460: $i] :
              ( ! [SY461: $i] :
                  ~ ( between_o @ SV188 @ SV204 @ SY460 @ SY461 )
              | ( ordered_by @ SV188 @ SV204 @ SY460 )
              | ( ordered_by @ SV188 @ SY460 @ SV204 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1399]) ).

thf(1446,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ! [SY462: $i,SY463: $i] :
              ( ~ ( between_o @ SV188 @ SV204 @ SY462 @ SY463 )
              | ( ordered_by @ SV188 @ SY462 @ SY463 )
              | ( ordered_by @ SV188 @ SY463 @ SY462 ) )
        | ~ ! [SY464: $i,SY465: $i] :
              ( ~ ( between_o @ SV188 @ SV204 @ SY464 @ SY465 )
              | ( ordered_by @ SV188 @ SY464 @ SY465 )
              | ( ordered_by @ SV188 @ SY464 @ SV204 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1400]) ).

thf(1447,plain,
    ! [SV301: $i,SV204: $i,SV188: $i] :
      ( ( ! [SY568: $i] :
            ( ~ ( ordered_by @ SV188 @ SV204 @ SV301 )
            | ~ ( ordered_by @ SV188 @ SV301 @ SY568 )
            | ( between_o @ SV188 @ SV204 @ SV301 @ SY568 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1401]) ).

thf(1448,plain,
    ! [SV204: $i,SV302: $i,SV188: $i] :
      ( ( ! [SY569: $i] :
            ( ~ ( ordered_by @ SV188 @ SY569 @ SV302 )
            | ~ ( ordered_by @ SV188 @ SV302 @ SV204 )
            | ( between_o @ SV188 @ SV204 @ SV302 @ SY569 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1402]) ).

thf(1449,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
                | ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) )
          | ~ ( ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
              | ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1403]) ).

thf(1450,plain,
    ! [SV303: $i,SV298: $i,SV189: $i] :
      ( ( ~ ( meet @ SV189 @ SV298 @ SV303 )
        | ~ ( ~ ! [SY570: $i] :
                  ( ~ ( incident_c @ SY570 @ SV298 )
                  | ~ ( incident_c @ SY570 @ SV303 )
                  | ( end_point @ SY570 @ SV298 ) )
            | ~ ! [SY571: $i] :
                  ( ~ ( incident_c @ SY571 @ SV298 )
                  | ~ ( incident_c @ SY571 @ SV303 )
                  | ( end_point @ SY571 @ SV303 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1404]) ).

thf(1451,plain,
    ! [SV189: $i] :
      ( ( ~ ! [SY415: $i] :
              ( ! [SY416: $i] :
                  ~ ( meet @ SV189 @ SY415 @ SY416 )
              | ( incident_c @ SV189 @ SY415 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1405]) ).

thf(1452,plain,
    ! [SV189: $i] :
      ( ( ~ ! [SY417: $i,SY418: $i] :
              ( ~ ( meet @ SV189 @ SY417 @ SY418 )
              | ( incident_c @ SV189 @ SY418 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1405]) ).

thf(1453,plain,
    ! [SV190: $i,SV205: $i] :
      ( ( ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV205 )
        = $false )
      | ( ( incident_c @ ( sK17_P @ SV205 @ SV190 ) @ SV190 )
        = $false )
      | ( ( SV190 = SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1406]) ).

thf(1454,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV231
                     != ( sK15_Q @ SV254 @ SV231 ) ) )
                | ~ ( incident_o @ ( sK15_Q @ SV254 @ SV231 ) @ SV254 ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1407]) ).

thf(1455,plain,
    ! [SV231: $i,SV254: $i] :
      ( ( ( ~ ~ ( ordered_by @ SV254 @ SV231 @ ( sK15_Q @ SV254 @ SV231 ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1407]) ).

thf(1456,plain,
    ! [SV299: $i,SV283: $i] :
      ( ( ( ~ ( start_point @ SV283 @ SV299 ) )
        = $true )
      | ( ( ! [SY567: $i] :
              ( ( SV283 = SY567 )
              | ~ ( incident_o @ SY567 @ SV299 )
              | ( ordered_by @ SV299 @ SV283 @ SY567 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1408]) ).

thf(1457,plain,
    ! [SV300: $i,SV284: $i] :
      ( ( ( ~ ( start_point @ SV284 @ SV300 ) )
        = $true )
      | ( ( incident_o @ SV284 @ SV300 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1409]) ).

thf(1458,plain,
    ! [SV206: $i,SV214: $i,SV191: $i] :
      ( ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( ~ ( incident_c @ SV206 @ SV214 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY495: $i] :
                          ( ~ ( incident_c @ SY495 @ SV214 )
                          | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                          | ( incident_c @ SY496 @ SV214 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1410]) ).

thf(1459,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
                  | ~ ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) )
              | ~ ( ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
                  | ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) ) )
          | ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1411]) ).

thf(1460,plain,
    ! [SV270: $i,SV207: $i,SV192: $i,SV286: $i] :
      ( ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ! [SY558: $i] :
                          ( ~ ( incident_c @ SY558 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
                          | ( incident_o @ SY558 @ SV286 ) )
                    | ~ ! [SY559: $i] :
                          ( ~ ( incident_o @ SY559 @ SV286 )
                          | ( incident_c @ SY559 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) ) )
              | ~ ( between_c @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SV270 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1412]) ).

thf(1461,plain,
    ! [SV194: $i,SV208: $i] :
      ( ( ( ordered_by @ SV208 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
        = $false )
      | ( ( ordered_by @ SV194 @ ( sK7_P @ SV208 @ SV194 ) @ ( sK8_SY124 @ SV208 @ SV194 ) )
        = $false )
      | ( ( SV194 = SV208 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1415]) ).

thf(1462,plain,
    ! [SV274: $i,SV195: $i,SV287: $i,SV209: $i] :
      ( ( ( SV209 = SV287 )
        = $true )
      | ( ( ! [SY560: $i] :
              ( ~ ( end_point @ SV209 @ SY560 )
              | ~ ( part_of @ SY560 @ SV195 )
              | ~ ( end_point @ SV287 @ SY560 )
              | ~ ( inner_point @ SV274 @ SY560 ) ) )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV274 @ SV287 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1416]) ).

thf(1463,plain,
    ! [SV305: $i,SV209: $i,SV195: $i] :
      ( ( ! [SY572: $i] :
            ( ~ ( between_c @ SV195 @ SV209 @ SV305 @ SY572 )
            | ( SV209 != SY572 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1417]) ).

thf(1464,plain,
    ! [SV306: $i,SV209: $i,SV195: $i] :
      ( ( ! [SY573: $i] :
            ( ~ ( between_c @ SV195 @ SV209 @ SV306 @ SY573 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SY573 @ SV306 @ SV209 @ SV195 ) )
                            | ~ ( part_of @ ( sK16_Cpp @ SY573 @ SV306 @ SV209 @ SV195 ) @ SV195 ) )
                      | ~ ( end_point @ SY573 @ ( sK16_Cpp @ SY573 @ SV306 @ SV209 @ SV195 ) ) )
                | ~ ( inner_point @ SV306 @ ( sK16_Cpp @ SY573 @ SV306 @ SV209 @ SV195 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1418]) ).

thf(1465,plain,
    ! [SV215: $i,SV197: $i,SV172: $i,SV210: $i] :
      ( ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( ~ ( part_of @ SV215 @ SV172 ) )
        = $true )
      | ( ( ! [SY497: $i] :
              ( ~ ( end_point @ SY497 @ SV197 )
              | ~ ( end_point @ SY497 @ SV210 )
              | ~ ( end_point @ SY497 @ SV215 ) ) )
        = $true )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1419]) ).

thf(1466,plain,
    ! [SV211: $i,SV198: $i,SV174: $i,SV216: $i] :
      ( ( ( end_point @ SV216 @ SV174 )
        = $false )
      | ( ( end_point @ SV198 @ SV174 )
        = $false )
      | ( ( end_point @ SV211 @ SV174 )
        = $false )
      | ( ( ( SV211 = SV216 )
          | ( SV198 = SV211 )
          | ( SV198 = SV216 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1420]) ).

thf(1467,plain,
    ! [SV288: $i,SV212: $i,SV199: $i,SV175: $i] :
      ( ( ( SV175
          = ( sum @ SV199 @ SV212 ) )
        = $false )
      | ( ( closed @ SV175 )
        = $false )
      | ( ( meet @ SV288 @ SV199 @ SV212 )
        = $false )
      | ( ( ! [SY491: $i] :
              ( ~ ( end_point @ SY491 @ SV199 )
              | ( meet @ SY491 @ SV199 @ SV212 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1421]) ).

thf(1468,plain,
    ! [SV201: $i,SV180: $i,SV218: $i,SV261: $i,SV213: $i,SV238: $i] :
      ( ( ( once @ ( at_the_same_time @ ( at @ SV238 @ SV213 ) @ ( at @ SV261 @ SV218 ) ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV238 @ SV180 ) @ ( at @ SV261 @ SV201 ) ) )
        = $false )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV238 ) @ SV180 @ SV213 )
          | ~ ( ordered_by @ ( trajectory_of @ SV261 ) @ SV218 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1422]) ).

thf(1469,plain,
    ! [SV222: $i,SV241: $i] :
      ( ( ( incident_c @ ( sK29_P @ SV241 @ SV222 ) @ SV222 )
        = $false )
      | ( ( part_of @ SV241 @ SV222 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1424]) ).

thf(1470,plain,
    ! [SV223: $i,SV242: $i,SV289: $i] :
      ( ( ( incident_c @ SV289 @ SV242 )
        = $false )
      | ( ( incident_c @ SV289 @ SV223 )
        = $true )
      | ( ( part_of @ SV242 @ SV223 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1425]) ).

thf(1471,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 ) )
        = $true )
      | ( ( ~ ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) )
        = $true )
      | ( ( SV224
          = ( underlying_curve @ SV243 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1426]) ).

thf(1472,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
        = $true )
      | ( ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 )
        = $true )
      | ( ( SV224
          = ( underlying_curve @ SV243 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1427]) ).

thf(1473,plain,
    ! [SV244: $i,SV225: $i] :
      ( ( ( ! [SY523: $i] :
              ( ~ ( incident_c @ SY523 @ SV225 )
              | ( incident_o @ SY523 @ SV244 ) ) )
        = $true )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1428]) ).

thf(1474,plain,
    ! [SV225: $i,SV244: $i] :
      ( ( ( ! [SY524: $i] :
              ( ~ ( incident_o @ SY524 @ SV244 )
              | ( incident_c @ SY524 @ SV225 ) ) )
        = $true )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1429]) ).

thf(1475,plain,
    ! [SV183: $i,SV290: $i] :
      ( ( ( incident_c @ SV290 @ ( sK13_C @ SV183 ) )
        = $false )
      | ( ( incident_o @ SV290 @ SV183 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1430]) ).

thf(1476,plain,
    ! [SV183: $i,SV291: $i] :
      ( ( ( incident_o @ SV291 @ SV183 )
        = $false )
      | ( ( incident_c @ SV291 @ ( sK13_C @ SV183 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1431]) ).

thf(1477,plain,
    ! [SV292: $i,SV277: $i] :
      ( ( ( inner_point @ SV277 @ SV292 )
        = $false )
      | ( ( incident_c @ SV277 @ SV292 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1432]) ).

thf(1478,plain,
    ! [SV293: $i,SV278: $i] :
      ( ( ( inner_point @ SV278 @ SV293 )
        = $false )
      | ( ( ~ ( end_point @ SV278 @ SV293 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1433]) ).

thf(1479,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( ~ ( ~ ( ( SV227
                   != ( sK14_Q @ SV246 @ SV227 ) ) )
              | ~ ( incident_o @ ( sK14_Q @ SV246 @ SV227 ) @ SV246 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1434]) ).

thf(1480,plain,
    ! [SV227: $i,SV246: $i] :
      ( ( ( ~ ( ordered_by @ SV246 @ ( sK14_Q @ SV246 @ SV227 ) @ SV227 ) )
        = $true )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1435]) ).

thf(1481,plain,
    ! [SV294: $i,SV279: $i] :
      ( ( ( finish_point @ SV279 @ SV294 )
        = $false )
      | ( ( ! [SY561: $i] :
              ( ( SV279 = SY561 )
              | ~ ( incident_o @ SY561 @ SV294 )
              | ( ordered_by @ SV294 @ SY561 @ SV279 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1436]) ).

thf(1482,plain,
    ! [SV295: $i,SV280: $i] :
      ( ( ( finish_point @ SV280 @ SV295 )
        = $false )
      | ( ( incident_o @ SV280 @ SV295 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1437]) ).

thf(1483,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                          | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
                    | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) )
              | ~ ( incident_c @ SV228 @ ( sK27_SY132 @ SV247 @ SV228 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1438]) ).

thf(1484,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( ~ ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) )
              | ~ ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1439]) ).

thf(1485,plain,
    ! [SV296: $i,SV281: $i] :
      ( ( ( end_point @ SV281 @ SV296 )
        = $false )
      | ( ( ! [SY562: $i,SY563: $i] :
              ( ~ ( part_of @ SY562 @ SV296 )
              | ~ ( part_of @ SY563 @ SV296 )
              | ~ ( incident_c @ SV281 @ SY562 )
              | ~ ( incident_c @ SV281 @ SY563 )
              | ( part_of @ SY562 @ SY563 )
              | ( part_of @ SY563 @ SY562 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1440]) ).

thf(1486,plain,
    ! [SV297: $i,SV282: $i] :
      ( ( ( end_point @ SV282 @ SV297 )
        = $false )
      | ( ( incident_c @ SV282 @ SV297 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1441]) ).

thf(1487,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                  | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 ) )
              | ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
                  | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1442]) ).

thf(1488,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
          | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 )
          | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1443]) ).

thf(1489,plain,
    ! [SV264: $i,SV249: $i,SV185: $i] :
      ( ( ( ~ ! [SY535: $i] :
                ( ~ ( incident_c @ SY535 @ SV185 )
                | ( incident_c @ SY535 @ SV249 )
                | ( incident_c @ SY535 @ SV264 ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1444]) ).

thf(1490,plain,
    ! [SV264: $i,SV185: $i,SV249: $i] :
      ( ( ( ~ ~ ( ~ ! [SY528: $i] :
                      ( ~ ( incident_c @ SY528 @ SV249 )
                      | ( incident_c @ SY528 @ SV185 ) )
                | ~ ! [SY537: $i] :
                      ( ~ ( incident_c @ SY537 @ SV264 )
                      | ( incident_c @ SY537 @ SV185 ) ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1444]) ).

thf(1491,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ! [SY458: $i,SY459: $i] :
              ( ~ ( between_o @ SV188 @ SV204 @ SY458 @ SY459 )
              | ( ordered_by @ SV188 @ SV204 @ SY458 )
              | ( ordered_by @ SV188 @ SY459 @ SY458 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1445]) ).

thf(1492,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ! [SY460: $i] :
              ( ! [SY461: $i] :
                  ~ ( between_o @ SV188 @ SV204 @ SY460 @ SY461 )
              | ( ordered_by @ SV188 @ SV204 @ SY460 )
              | ( ordered_by @ SV188 @ SY460 @ SV204 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1445]) ).

thf(1493,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ! [SY462: $i,SY463: $i] :
              ( ~ ( between_o @ SV188 @ SV204 @ SY462 @ SY463 )
              | ( ordered_by @ SV188 @ SY462 @ SY463 )
              | ( ordered_by @ SV188 @ SY463 @ SY462 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1446]) ).

thf(1494,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ~ ! [SY464: $i,SY465: $i] :
              ( ~ ( between_o @ SV188 @ SV204 @ SY464 @ SY465 )
              | ( ordered_by @ SV188 @ SY464 @ SY465 )
              | ( ordered_by @ SV188 @ SY464 @ SV204 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1446]) ).

thf(1495,plain,
    ! [SV307: $i,SV301: $i,SV204: $i,SV188: $i] :
      ( ( ~ ( ordered_by @ SV188 @ SV204 @ SV301 )
        | ~ ( ordered_by @ SV188 @ SV301 @ SV307 )
        | ( between_o @ SV188 @ SV204 @ SV301 @ SV307 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1447]) ).

thf(1496,plain,
    ! [SV204: $i,SV302: $i,SV308: $i,SV188: $i] :
      ( ( ~ ( ordered_by @ SV188 @ SV308 @ SV302 )
        | ~ ( ordered_by @ SV188 @ SV302 @ SV204 )
        | ( between_o @ SV188 @ SV204 @ SV302 @ SV308 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1448]) ).

thf(1497,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
                | ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1449]) ).

thf(1498,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ( ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
              | ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1449]) ).

thf(1499,plain,
    ! [SV303: $i,SV298: $i,SV189: $i] :
      ( ( ( ~ ( meet @ SV189 @ SV298 @ SV303 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY570: $i] :
                    ( ~ ( incident_c @ SY570 @ SV298 )
                    | ~ ( incident_c @ SY570 @ SV303 )
                    | ( end_point @ SY570 @ SV298 ) )
              | ~ ! [SY571: $i] :
                    ( ~ ( incident_c @ SY571 @ SV298 )
                    | ~ ( incident_c @ SY571 @ SV303 )
                    | ( end_point @ SY571 @ SV303 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1450]) ).

thf(1500,plain,
    ! [SV189: $i] :
      ( ( ! [SY415: $i] :
            ( ! [SY416: $i] :
                ~ ( meet @ SV189 @ SY415 @ SY416 )
            | ( incident_c @ SV189 @ SY415 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1451]) ).

thf(1501,plain,
    ! [SV189: $i] :
      ( ( ! [SY417: $i,SY418: $i] :
            ( ~ ( meet @ SV189 @ SY417 @ SY418 )
            | ( incident_c @ SV189 @ SY418 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1452]) ).

thf(1502,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( ~ ( ~ ( ( SV231
                   != ( sK15_Q @ SV254 @ SV231 ) ) )
              | ~ ( incident_o @ ( sK15_Q @ SV254 @ SV231 ) @ SV254 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1454]) ).

thf(1503,plain,
    ! [SV231: $i,SV254: $i] :
      ( ( ( ~ ( ordered_by @ SV254 @ SV231 @ ( sK15_Q @ SV254 @ SV231 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1455]) ).

thf(1504,plain,
    ! [SV299: $i,SV283: $i] :
      ( ( ( start_point @ SV283 @ SV299 )
        = $false )
      | ( ( ! [SY567: $i] :
              ( ( SV283 = SY567 )
              | ~ ( incident_o @ SY567 @ SV299 )
              | ( ordered_by @ SV299 @ SV283 @ SY567 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1456]) ).

thf(1505,plain,
    ! [SV300: $i,SV284: $i] :
      ( ( ( start_point @ SV284 @ SV300 )
        = $false )
      | ( ( incident_o @ SV284 @ SV300 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1457]) ).

thf(1506,plain,
    ! [SV191: $i,SV214: $i,SV206: $i] :
      ( ( ( incident_c @ SV206 @ SV214 )
        = $false )
      | ( ( open @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ! [SY495: $i] :
                          ( ~ ( incident_c @ SY495 @ SV214 )
                          | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
                    | ~ ! [SY496: $i] :
                          ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                          | ( incident_c @ SY496 @ SV214 ) ) )
              | ~ ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1458]) ).

thf(1507,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
                  | ~ ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) )
              | ~ ( ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
                  | ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) ) ) )
        = $true )
      | ( ( ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1459]) ).

thf(1508,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i] :
      ( ( ( ~ ~ ( ~ ! [SY558: $i] :
                      ( ~ ( incident_c @ SY558 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
                      | ( incident_o @ SY558 @ SV286 ) )
                | ~ ! [SY559: $i] :
                      ( ~ ( incident_o @ SY559 @ SV286 )
                      | ( incident_c @ SY559 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) ) )
          | ~ ( between_c @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SV270 ) )
        = $false )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1460]) ).

thf(1509,plain,
    ! [SV274: $i,SV287: $i,SV195: $i,SV309: $i,SV209: $i] :
      ( ( ( ~ ( end_point @ SV209 @ SV309 )
          | ~ ( part_of @ SV309 @ SV195 )
          | ~ ( end_point @ SV287 @ SV309 )
          | ~ ( inner_point @ SV274 @ SV309 ) )
        = $true )
      | ( ( SV209 = SV287 )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV274 @ SV287 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1462]) ).

thf(1510,plain,
    ! [SV310: $i,SV305: $i,SV209: $i,SV195: $i] :
      ( ( ~ ( between_c @ SV195 @ SV209 @ SV305 @ SV310 )
        | ( SV209 != SV310 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1463]) ).

thf(1511,plain,
    ! [SV311: $i,SV306: $i,SV209: $i,SV195: $i] :
      ( ( ~ ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
                        | ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) )
                  | ~ ( end_point @ SV311 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) )
            | ~ ( inner_point @ SV306 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1464]) ).

thf(1512,plain,
    ! [SV210: $i,SV197: $i,SV172: $i,SV215: $i] :
      ( ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( ! [SY497: $i] :
              ( ~ ( end_point @ SY497 @ SV197 )
              | ~ ( end_point @ SY497 @ SV210 )
              | ~ ( end_point @ SY497 @ SV215 ) ) )
        = $true )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1465]) ).

thf(1513,plain,
    ! [SV174: $i,SV198: $i,SV216: $i,SV211: $i] :
      ( ( ( SV211 = SV216 )
        = $true )
      | ( ( ( SV198 = SV211 )
          | ( SV198 = SV216 ) )
        = $true )
      | ( ( end_point @ SV211 @ SV174 )
        = $false )
      | ( ( end_point @ SV198 @ SV174 )
        = $false )
      | ( ( end_point @ SV216 @ SV174 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1466]) ).

thf(1514,plain,
    ! [SV175: $i,SV288: $i,SV212: $i,SV199: $i,SV312: $i] :
      ( ( ( ~ ( end_point @ SV312 @ SV199 )
          | ( meet @ SV312 @ SV199 @ SV212 ) )
        = $true )
      | ( ( meet @ SV288 @ SV199 @ SV212 )
        = $false )
      | ( ( closed @ SV175 )
        = $false )
      | ( ( SV175
          = ( sum @ SV199 @ SV212 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1467]) ).

thf(1515,plain,
    ! [SV201: $i,SV218: $i,SV261: $i,SV213: $i,SV180: $i,SV238: $i] :
      ( ( ( ~ ( ordered_by @ ( trajectory_of @ SV238 ) @ SV180 @ SV213 ) )
        = $true )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV261 ) @ SV218 @ SV201 ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ ( at @ SV238 @ SV180 ) @ ( at @ SV261 @ SV201 ) ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV238 @ SV213 ) @ ( at @ SV261 @ SV218 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1468]) ).

thf(1516,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
        = $false )
      | ( ( ~ ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 ) )
        = $true )
      | ( ( SV224
          = ( underlying_curve @ SV243 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1471]) ).

thf(1517,plain,
    ! [SV244: $i,SV225: $i,SV313: $i] :
      ( ( ( ~ ( incident_c @ SV313 @ SV225 )
          | ( incident_o @ SV313 @ SV244 ) )
        = $true )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1473]) ).

thf(1518,plain,
    ! [SV225: $i,SV244: $i,SV314: $i] :
      ( ( ( ~ ( incident_o @ SV314 @ SV244 )
          | ( incident_c @ SV314 @ SV225 ) )
        = $true )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1474]) ).

thf(1519,plain,
    ! [SV293: $i,SV278: $i] :
      ( ( ( end_point @ SV278 @ SV293 )
        = $false )
      | ( ( inner_point @ SV278 @ SV293 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1478]) ).

thf(1520,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( ~ ( ( SV227
               != ( sK14_Q @ SV246 @ SV227 ) ) )
          | ~ ( incident_o @ ( sK14_Q @ SV246 @ SV227 ) @ SV246 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1479]) ).

thf(1521,plain,
    ! [SV227: $i,SV246: $i] :
      ( ( ( ordered_by @ SV246 @ ( sK14_Q @ SV246 @ SV227 ) @ SV227 )
        = $false )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1480]) ).

thf(1522,plain,
    ! [SV294: $i,SV315: $i,SV279: $i] :
      ( ( ( ( SV279 = SV315 )
          | ~ ( incident_o @ SV315 @ SV294 )
          | ( ordered_by @ SV294 @ SV315 @ SV279 ) )
        = $true )
      | ( ( finish_point @ SV279 @ SV294 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1481]) ).

thf(1523,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                      | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
                | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) )
          | ~ ( incident_c @ SV228 @ ( sK27_SY132 @ SV247 @ SV228 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1483]) ).

thf(1524,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) )
          | ~ ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1484]) ).

thf(1525,plain,
    ! [SV281: $i,SV296: $i,SV316: $i] :
      ( ( ( ! [SY574: $i] :
              ( ~ ( part_of @ SV316 @ SV296 )
              | ~ ( part_of @ SY574 @ SV296 )
              | ~ ( incident_c @ SV281 @ SV316 )
              | ~ ( incident_c @ SV281 @ SY574 )
              | ( part_of @ SV316 @ SY574 )
              | ( part_of @ SY574 @ SV316 ) ) )
        = $true )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1485]) ).

thf(1526,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
              | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 ) )
          | ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
              | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1487]) ).

thf(1527,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
        = $true )
      | ( ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 )
          | ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1488]) ).

thf(1528,plain,
    ! [SV264: $i,SV249: $i,SV185: $i] :
      ( ( ( ! [SY535: $i] :
              ( ~ ( incident_c @ SY535 @ SV185 )
              | ( incident_c @ SY535 @ SV249 )
              | ( incident_c @ SY535 @ SV264 ) ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1489]) ).

thf(1529,plain,
    ! [SV264: $i,SV185: $i,SV249: $i] :
      ( ( ( ~ ( ~ ! [SY528: $i] :
                    ( ~ ( incident_c @ SY528 @ SV249 )
                    | ( incident_c @ SY528 @ SV185 ) )
              | ~ ! [SY537: $i] :
                    ( ~ ( incident_c @ SY537 @ SV264 )
                    | ( incident_c @ SY537 @ SV185 ) ) ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1490]) ).

thf(1530,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ! [SY458: $i,SY459: $i] :
            ( ~ ( between_o @ SV188 @ SV204 @ SY458 @ SY459 )
            | ( ordered_by @ SV188 @ SV204 @ SY458 )
            | ( ordered_by @ SV188 @ SY459 @ SY458 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1491]) ).

thf(1531,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ! [SY460: $i] :
            ( ! [SY461: $i] :
                ~ ( between_o @ SV188 @ SV204 @ SY460 @ SY461 )
            | ( ordered_by @ SV188 @ SV204 @ SY460 )
            | ( ordered_by @ SV188 @ SY460 @ SV204 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1492]) ).

thf(1532,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ! [SY462: $i,SY463: $i] :
            ( ~ ( between_o @ SV188 @ SV204 @ SY462 @ SY463 )
            | ( ordered_by @ SV188 @ SY462 @ SY463 )
            | ( ordered_by @ SV188 @ SY463 @ SY462 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1493]) ).

thf(1533,plain,
    ! [SV204: $i,SV188: $i] :
      ( ( ! [SY464: $i,SY465: $i] :
            ( ~ ( between_o @ SV188 @ SV204 @ SY464 @ SY465 )
            | ( ordered_by @ SV188 @ SY464 @ SY465 )
            | ( ordered_by @ SV188 @ SY464 @ SV204 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1494]) ).

thf(1534,plain,
    ! [SV307: $i,SV301: $i,SV204: $i,SV188: $i] :
      ( ( ( ~ ( ordered_by @ SV188 @ SV204 @ SV301 )
          | ~ ( ordered_by @ SV188 @ SV301 @ SV307 ) )
        = $true )
      | ( ( between_o @ SV188 @ SV204 @ SV301 @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1495]) ).

thf(1535,plain,
    ! [SV204: $i,SV302: $i,SV308: $i,SV188: $i] :
      ( ( ( ~ ( ordered_by @ SV188 @ SV308 @ SV302 )
          | ~ ( ordered_by @ SV188 @ SV302 @ SV204 ) )
        = $true )
      | ( ( between_o @ SV188 @ SV204 @ SV302 @ SV308 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1496]) ).

thf(1536,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
              | ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1497]) ).

thf(1537,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
          | ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1498]) ).

thf(1538,plain,
    ! [SV303: $i,SV298: $i,SV189: $i] :
      ( ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false )
      | ( ( ~ ( ~ ! [SY570: $i] :
                    ( ~ ( incident_c @ SY570 @ SV298 )
                    | ~ ( incident_c @ SY570 @ SV303 )
                    | ( end_point @ SY570 @ SV298 ) )
              | ~ ! [SY571: $i] :
                    ( ~ ( incident_c @ SY571 @ SV298 )
                    | ~ ( incident_c @ SY571 @ SV303 )
                    | ( end_point @ SY571 @ SV303 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1499]) ).

thf(1539,plain,
    ! [SV317: $i,SV189: $i] :
      ( ( ! [SY575: $i] :
            ~ ( meet @ SV189 @ SV317 @ SY575 )
        | ( incident_c @ SV189 @ SV317 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1500]) ).

thf(1540,plain,
    ! [SV318: $i,SV189: $i] :
      ( ( ! [SY576: $i] :
            ( ~ ( meet @ SV189 @ SV318 @ SY576 )
            | ( incident_c @ SV189 @ SY576 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1501]) ).

thf(1541,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( ~ ( ( SV231
               != ( sK15_Q @ SV254 @ SV231 ) ) )
          | ~ ( incident_o @ ( sK15_Q @ SV254 @ SV231 ) @ SV254 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1502]) ).

thf(1542,plain,
    ! [SV231: $i,SV254: $i] :
      ( ( ( ordered_by @ SV254 @ SV231 @ ( sK15_Q @ SV254 @ SV231 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1503]) ).

thf(1543,plain,
    ! [SV299: $i,SV319: $i,SV283: $i] :
      ( ( ( ( SV283 = SV319 )
          | ~ ( incident_o @ SV319 @ SV299 )
          | ( ordered_by @ SV299 @ SV283 @ SV319 ) )
        = $true )
      | ( ( start_point @ SV283 @ SV299 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1504]) ).

thf(1544,plain,
    ! [SV191: $i,SV206: $i,SV214: $i] :
      ( ( ( ~ ~ ( ~ ! [SY495: $i] :
                      ( ~ ( incident_c @ SY495 @ SV214 )
                      | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
                | ~ ! [SY496: $i] :
                      ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                      | ( incident_c @ SY496 @ SV214 ) ) )
          | ~ ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 ) )
        = $false )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1506]) ).

thf(1545,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
              | ~ ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) )
          | ~ ( ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
              | ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) ) )
        = $false )
      | ( ( ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1507]) ).

thf(1546,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i] :
      ( ( ( ~ ~ ( ~ ! [SY558: $i] :
                      ( ~ ( incident_c @ SY558 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
                      | ( incident_o @ SY558 @ SV286 ) )
                | ~ ! [SY559: $i] :
                      ( ~ ( incident_o @ SY559 @ SV286 )
                      | ( incident_c @ SY559 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) ) ) )
        = $false )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1508]) ).

thf(1547,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i] :
      ( ( ( ~ ( between_c @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SV270 ) )
        = $false )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1508]) ).

thf(1548,plain,
    ! [SV274: $i,SV287: $i,SV195: $i,SV309: $i,SV209: $i] :
      ( ( ( ~ ( end_point @ SV209 @ SV309 )
          | ~ ( part_of @ SV309 @ SV195 )
          | ~ ( end_point @ SV287 @ SV309 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV274 @ SV309 ) )
        = $true )
      | ( ( SV209 = SV287 )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV274 @ SV287 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1509]) ).

thf(1549,plain,
    ! [SV310: $i,SV305: $i,SV209: $i,SV195: $i] :
      ( ( ( ~ ( between_c @ SV195 @ SV209 @ SV305 @ SV310 ) )
        = $true )
      | ( ( ( SV209 != SV310 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1510]) ).

thf(1550,plain,
    ! [SV311: $i,SV306: $i,SV209: $i,SV195: $i] :
      ( ( ( ~ ( between_c @ SV195 @ SV209 @ SV306 @ SV311 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
                          | ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) )
                    | ~ ( end_point @ SV311 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) )
              | ~ ( inner_point @ SV306 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1511]) ).

thf(1551,plain,
    ! [SV172: $i,SV215: $i,SV210: $i,SV197: $i,SV320: $i] :
      ( ( ( ~ ( end_point @ SV320 @ SV197 )
          | ~ ( end_point @ SV320 @ SV210 )
          | ~ ( end_point @ SV320 @ SV215 ) )
        = $true )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1512]) ).

thf(1552,plain,
    ! [SV174: $i,SV216: $i,SV211: $i,SV198: $i] :
      ( ( ( SV198 = SV211 )
        = $true )
      | ( ( SV198 = SV216 )
        = $true )
      | ( ( SV211 = SV216 )
        = $true )
      | ( ( end_point @ SV211 @ SV174 )
        = $false )
      | ( ( end_point @ SV198 @ SV174 )
        = $false )
      | ( ( end_point @ SV216 @ SV174 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1513]) ).

thf(1553,plain,
    ! [SV175: $i,SV288: $i,SV212: $i,SV199: $i,SV312: $i] :
      ( ( ( ~ ( end_point @ SV312 @ SV199 ) )
        = $true )
      | ( ( meet @ SV312 @ SV199 @ SV212 )
        = $true )
      | ( ( meet @ SV288 @ SV199 @ SV212 )
        = $false )
      | ( ( closed @ SV175 )
        = $false )
      | ( ( SV175
          = ( sum @ SV199 @ SV212 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1514]) ).

thf(1554,plain,
    ! [SV201: $i,SV218: $i,SV261: $i,SV213: $i,SV180: $i,SV238: $i] :
      ( ( ( ordered_by @ ( trajectory_of @ SV238 ) @ SV180 @ SV213 )
        = $false )
      | ( ( ~ ( ordered_by @ ( trajectory_of @ SV261 ) @ SV218 @ SV201 ) )
        = $true )
      | ( ( once @ ( at_the_same_time @ ( at @ SV238 @ SV180 ) @ ( at @ SV261 @ SV201 ) ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV238 @ SV213 ) @ ( at @ SV261 @ SV218 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1515]) ).

thf(1555,plain,
    ! [SV224: $i,SV243: $i] :
      ( ( ( incident_o @ ( sK6_P @ SV243 @ SV224 ) @ SV243 )
        = $false )
      | ( ( incident_c @ ( sK6_P @ SV243 @ SV224 ) @ SV224 )
        = $false )
      | ( ( SV224
          = ( underlying_curve @ SV243 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1516]) ).

thf(1556,plain,
    ! [SV244: $i,SV225: $i,SV313: $i] :
      ( ( ( ~ ( incident_c @ SV313 @ SV225 ) )
        = $true )
      | ( ( incident_o @ SV313 @ SV244 )
        = $true )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1517]) ).

thf(1557,plain,
    ! [SV225: $i,SV244: $i,SV314: $i] :
      ( ( ( ~ ( incident_o @ SV314 @ SV244 ) )
        = $true )
      | ( ( incident_c @ SV314 @ SV225 )
        = $true )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1518]) ).

thf(1558,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( ~ ( ( SV227
               != ( sK14_Q @ SV246 @ SV227 ) ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1520]) ).

thf(1559,plain,
    ! [SV227: $i,SV246: $i] :
      ( ( ( ~ ( incident_o @ ( sK14_Q @ SV246 @ SV227 ) @ SV246 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1520]) ).

thf(1560,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( incident_o @ SV227 @ SV246 )
        = $false )
      | ( ( ordered_by @ SV246 @ ( sK14_Q @ SV246 @ SV227 ) @ SV227 )
        = $false )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1521]) ).

thf(1561,plain,
    ! [SV294: $i,SV315: $i,SV279: $i] :
      ( ( ( ( SV279 = SV315 )
          | ~ ( incident_o @ SV315 @ SV294 ) )
        = $true )
      | ( ( ordered_by @ SV294 @ SV315 @ SV279 )
        = $true )
      | ( ( finish_point @ SV279 @ SV294 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1522]) ).

thf(1562,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                      | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
                | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1523]) ).

thf(1563,plain,
    ! [SV247: $i,SV228: $i] :
      ( ( ( ~ ( incident_c @ SV228 @ ( sK27_SY132 @ SV247 @ SV228 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1523]) ).

thf(1564,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1524]) ).

thf(1565,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1524]) ).

thf(1566,plain,
    ! [SV281: $i,SV321: $i,SV296: $i,SV316: $i] :
      ( ( ( ~ ( part_of @ SV316 @ SV296 )
          | ~ ( part_of @ SV321 @ SV296 )
          | ~ ( incident_c @ SV281 @ SV316 )
          | ~ ( incident_c @ SV281 @ SV321 )
          | ( part_of @ SV316 @ SV321 )
          | ( part_of @ SV321 @ SV316 ) )
        = $true )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1525]) ).

thf(1567,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
              | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1526]) ).

thf(1568,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
              | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1526]) ).

thf(1569,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 )
        = $true )
      | ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 )
        = $true )
      | ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1527]) ).

thf(1570,plain,
    ! [SV264: $i,SV249: $i,SV185: $i,SV322: $i] :
      ( ( ( ~ ( incident_c @ SV322 @ SV185 )
          | ( incident_c @ SV322 @ SV249 )
          | ( incident_c @ SV322 @ SV264 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1528]) ).

thf(1571,plain,
    ! [SV264: $i,SV185: $i,SV249: $i] :
      ( ( ( ~ ! [SY528: $i] :
                ( ~ ( incident_c @ SY528 @ SV249 )
                | ( incident_c @ SY528 @ SV185 ) )
          | ~ ! [SY537: $i] :
                ( ~ ( incident_c @ SY537 @ SV264 )
                | ( incident_c @ SY537 @ SV185 ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1529]) ).

thf(1572,plain,
    ! [SV323: $i,SV204: $i,SV188: $i] :
      ( ( ! [SY577: $i] :
            ( ~ ( between_o @ SV188 @ SV204 @ SV323 @ SY577 )
            | ( ordered_by @ SV188 @ SV204 @ SV323 )
            | ( ordered_by @ SV188 @ SY577 @ SV323 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1530]) ).

thf(1573,plain,
    ! [SV324: $i,SV204: $i,SV188: $i] :
      ( ( ! [SY578: $i] :
            ~ ( between_o @ SV188 @ SV204 @ SV324 @ SY578 )
        | ( ordered_by @ SV188 @ SV204 @ SV324 )
        | ( ordered_by @ SV188 @ SV324 @ SV204 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1531]) ).

thf(1574,plain,
    ! [SV325: $i,SV204: $i,SV188: $i] :
      ( ( ! [SY579: $i] :
            ( ~ ( between_o @ SV188 @ SV204 @ SV325 @ SY579 )
            | ( ordered_by @ SV188 @ SV325 @ SY579 )
            | ( ordered_by @ SV188 @ SY579 @ SV325 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1532]) ).

thf(1575,plain,
    ! [SV326: $i,SV204: $i,SV188: $i] :
      ( ( ! [SY580: $i] :
            ( ~ ( between_o @ SV188 @ SV204 @ SV326 @ SY580 )
            | ( ordered_by @ SV188 @ SV326 @ SY580 )
            | ( ordered_by @ SV188 @ SV326 @ SV204 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1533]) ).

thf(1576,plain,
    ! [SV307: $i,SV301: $i,SV204: $i,SV188: $i] :
      ( ( ( ~ ( ordered_by @ SV188 @ SV204 @ SV301 ) )
        = $true )
      | ( ( ~ ( ordered_by @ SV188 @ SV301 @ SV307 ) )
        = $true )
      | ( ( between_o @ SV188 @ SV204 @ SV301 @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1534]) ).

thf(1577,plain,
    ! [SV204: $i,SV302: $i,SV308: $i,SV188: $i] :
      ( ( ( ~ ( ordered_by @ SV188 @ SV308 @ SV302 ) )
        = $true )
      | ( ( ~ ( ordered_by @ SV188 @ SV302 @ SV204 ) )
        = $true )
      | ( ( between_o @ SV188 @ SV204 @ SV302 @ SV308 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1535]) ).

thf(1578,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
          | ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1536]) ).

thf(1579,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 ) )
        = $true )
      | ( ( ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1537]) ).

thf(1580,plain,
    ! [SV189: $i,SV303: $i,SV298: $i] :
      ( ( ( ~ ! [SY570: $i] :
                ( ~ ( incident_c @ SY570 @ SV298 )
                | ~ ( incident_c @ SY570 @ SV303 )
                | ( end_point @ SY570 @ SV298 ) )
          | ~ ! [SY571: $i] :
                ( ~ ( incident_c @ SY571 @ SV298 )
                | ~ ( incident_c @ SY571 @ SV303 )
                | ( end_point @ SY571 @ SV303 ) ) )
        = $false )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1538]) ).

thf(1581,plain,
    ! [SV317: $i,SV189: $i] :
      ( ( ( ! [SY575: $i] :
              ~ ( meet @ SV189 @ SV317 @ SY575 ) )
        = $true )
      | ( ( incident_c @ SV189 @ SV317 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1539]) ).

thf(1582,plain,
    ! [SV327: $i,SV318: $i,SV189: $i] :
      ( ( ~ ( meet @ SV189 @ SV318 @ SV327 )
        | ( incident_c @ SV189 @ SV327 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1540]) ).

thf(1583,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( ~ ( ( SV231
               != ( sK15_Q @ SV254 @ SV231 ) ) ) )
        = $false )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1541]) ).

thf(1584,plain,
    ! [SV231: $i,SV254: $i] :
      ( ( ( ~ ( incident_o @ ( sK15_Q @ SV254 @ SV231 ) @ SV254 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1541]) ).

thf(1585,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( incident_o @ SV231 @ SV254 )
        = $false )
      | ( ( ordered_by @ SV254 @ SV231 @ ( sK15_Q @ SV254 @ SV231 ) )
        = $false )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1542]) ).

thf(1586,plain,
    ! [SV299: $i,SV319: $i,SV283: $i] :
      ( ( ( ( SV283 = SV319 )
          | ~ ( incident_o @ SV319 @ SV299 ) )
        = $true )
      | ( ( ordered_by @ SV299 @ SV283 @ SV319 )
        = $true )
      | ( ( start_point @ SV283 @ SV299 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1543]) ).

thf(1587,plain,
    ! [SV191: $i,SV206: $i,SV214: $i] :
      ( ( ( ~ ~ ( ~ ! [SY495: $i] :
                      ( ~ ( incident_c @ SY495 @ SV214 )
                      | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
                | ~ ! [SY496: $i] :
                      ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                      | ( incident_c @ SY496 @ SV214 ) ) ) )
        = $false )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1544]) ).

thf(1588,plain,
    ! [SV191: $i,SV206: $i,SV214: $i] :
      ( ( ( ~ ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 ) )
        = $false )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1544]) ).

thf(1589,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
              | ~ ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) ) )
        = $false )
      | ( ( ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1545]) ).

thf(1590,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
              | ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) ) )
        = $false )
      | ( ( ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1545]) ).

thf(1591,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i] :
      ( ( ( ~ ( ~ ! [SY558: $i] :
                    ( ~ ( incident_c @ SY558 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
                    | ( incident_o @ SY558 @ SV286 ) )
              | ~ ! [SY559: $i] :
                    ( ~ ( incident_o @ SY559 @ SV286 )
                    | ( incident_c @ SY559 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) ) ) )
        = $true )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1546]) ).

thf(1592,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i] :
      ( ( ( between_c @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) @ SV192 @ SV207 @ SV270 )
        = $true )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1547]) ).

thf(1593,plain,
    ! [SV274: $i,SV287: $i,SV195: $i,SV309: $i,SV209: $i] :
      ( ( ( ~ ( end_point @ SV209 @ SV309 )
          | ~ ( part_of @ SV309 @ SV195 ) )
        = $true )
      | ( ( ~ ( end_point @ SV287 @ SV309 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV274 @ SV309 ) )
        = $true )
      | ( ( SV209 = SV287 )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV274 @ SV287 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1548]) ).

thf(1594,plain,
    ! [SV310: $i,SV305: $i,SV209: $i,SV195: $i] :
      ( ( ( between_c @ SV195 @ SV209 @ SV305 @ SV310 )
        = $false )
      | ( ( ( SV209 != SV310 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1549]) ).

thf(1595,plain,
    ! [SV311: $i,SV306: $i,SV209: $i,SV195: $i] :
      ( ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
                          | ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) )
                    | ~ ( end_point @ SV311 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) )
              | ~ ( inner_point @ SV306 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1550]) ).

thf(1596,plain,
    ! [SV172: $i,SV215: $i,SV210: $i,SV197: $i,SV320: $i] :
      ( ( ( ~ ( end_point @ SV320 @ SV197 )
          | ~ ( end_point @ SV320 @ SV210 ) )
        = $true )
      | ( ( ~ ( end_point @ SV320 @ SV215 ) )
        = $true )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1551]) ).

thf(1597,plain,
    ! [SV175: $i,SV288: $i,SV212: $i,SV199: $i,SV312: $i] :
      ( ( ( end_point @ SV312 @ SV199 )
        = $false )
      | ( ( meet @ SV312 @ SV199 @ SV212 )
        = $true )
      | ( ( meet @ SV288 @ SV199 @ SV212 )
        = $false )
      | ( ( closed @ SV175 )
        = $false )
      | ( ( SV175
          = ( sum @ SV199 @ SV212 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1553]) ).

thf(1598,plain,
    ! [SV213: $i,SV180: $i,SV238: $i,SV201: $i,SV218: $i,SV261: $i] :
      ( ( ( ordered_by @ ( trajectory_of @ SV261 ) @ SV218 @ SV201 )
        = $false )
      | ( ( ordered_by @ ( trajectory_of @ SV238 ) @ SV180 @ SV213 )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV238 @ SV180 ) @ ( at @ SV261 @ SV201 ) ) )
        = $false )
      | ( ( once @ ( at_the_same_time @ ( at @ SV238 @ SV213 ) @ ( at @ SV261 @ SV218 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1554]) ).

thf(1599,plain,
    ! [SV244: $i,SV225: $i,SV313: $i] :
      ( ( ( incident_c @ SV313 @ SV225 )
        = $false )
      | ( ( incident_o @ SV313 @ SV244 )
        = $true )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1556]) ).

thf(1600,plain,
    ! [SV225: $i,SV244: $i,SV314: $i] :
      ( ( ( incident_o @ SV314 @ SV244 )
        = $false )
      | ( ( incident_c @ SV314 @ SV225 )
        = $true )
      | ( ( SV225
          = ( underlying_curve @ SV244 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1557]) ).

thf(1601,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( ( SV227
           != ( sK14_Q @ SV246 @ SV227 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1558]) ).

thf(1602,plain,
    ! [SV227: $i,SV246: $i] :
      ( ( ( incident_o @ ( sK14_Q @ SV246 @ SV227 ) @ SV246 )
        = $true )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1559]) ).

thf(1603,plain,
    ! [SV294: $i,SV315: $i,SV279: $i] :
      ( ( ( SV279 = SV315 )
        = $true )
      | ( ( ~ ( incident_o @ SV315 @ SV294 ) )
        = $true )
      | ( ( ordered_by @ SV294 @ SV315 @ SV279 )
        = $true )
      | ( ( finish_point @ SV279 @ SV294 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1561]) ).

thf(1604,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                    | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
              | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1562]) ).

thf(1605,plain,
    ! [SV247: $i,SV228: $i] :
      ( ( ( incident_c @ SV228 @ ( sK27_SY132 @ SV247 @ SV228 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1563]) ).

thf(1606,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1564]) ).

thf(1607,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1565]) ).

thf(1608,plain,
    ! [SV281: $i,SV321: $i,SV296: $i,SV316: $i] :
      ( ( ( ~ ( part_of @ SV316 @ SV296 )
          | ~ ( part_of @ SV321 @ SV296 )
          | ~ ( incident_c @ SV281 @ SV316 )
          | ~ ( incident_c @ SV281 @ SV321 ) )
        = $true )
      | ( ( ( part_of @ SV316 @ SV321 )
          | ( part_of @ SV321 @ SV316 ) )
        = $true )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1566]) ).

thf(1609,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
          | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1567]) ).

thf(1610,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
          | ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1568]) ).

thf(1611,plain,
    ! [SV264: $i,SV249: $i,SV185: $i,SV322: $i] :
      ( ( ( ~ ( incident_c @ SV322 @ SV185 ) )
        = $true )
      | ( ( ( incident_c @ SV322 @ SV249 )
          | ( incident_c @ SV322 @ SV264 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1570]) ).

thf(1612,plain,
    ! [SV264: $i,SV185: $i,SV249: $i] :
      ( ( ( ~ ! [SY528: $i] :
                ( ~ ( incident_c @ SY528 @ SV249 )
                | ( incident_c @ SY528 @ SV185 ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1571]) ).

thf(1613,plain,
    ! [SV249: $i,SV185: $i,SV264: $i] :
      ( ( ( ~ ! [SY537: $i] :
                ( ~ ( incident_c @ SY537 @ SV264 )
                | ( incident_c @ SY537 @ SV185 ) ) )
        = $false )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1571]) ).

thf(1614,plain,
    ! [SV328: $i,SV323: $i,SV204: $i,SV188: $i] :
      ( ( ~ ( between_o @ SV188 @ SV204 @ SV323 @ SV328 )
        | ( ordered_by @ SV188 @ SV204 @ SV323 )
        | ( ordered_by @ SV188 @ SV328 @ SV323 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1572]) ).

thf(1615,plain,
    ! [SV324: $i,SV204: $i,SV188: $i] :
      ( ( ( ! [SY578: $i] :
              ~ ( between_o @ SV188 @ SV204 @ SV324 @ SY578 ) )
        = $true )
      | ( ( ( ordered_by @ SV188 @ SV204 @ SV324 )
          | ( ordered_by @ SV188 @ SV324 @ SV204 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1573]) ).

thf(1616,plain,
    ! [SV329: $i,SV325: $i,SV204: $i,SV188: $i] :
      ( ( ~ ( between_o @ SV188 @ SV204 @ SV325 @ SV329 )
        | ( ordered_by @ SV188 @ SV325 @ SV329 )
        | ( ordered_by @ SV188 @ SV329 @ SV325 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1574]) ).

thf(1617,plain,
    ! [SV330: $i,SV326: $i,SV204: $i,SV188: $i] :
      ( ( ~ ( between_o @ SV188 @ SV204 @ SV326 @ SV330 )
        | ( ordered_by @ SV188 @ SV326 @ SV330 )
        | ( ordered_by @ SV188 @ SV326 @ SV204 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1575]) ).

thf(1618,plain,
    ! [SV307: $i,SV301: $i,SV204: $i,SV188: $i] :
      ( ( ( ordered_by @ SV188 @ SV204 @ SV301 )
        = $false )
      | ( ( ~ ( ordered_by @ SV188 @ SV301 @ SV307 ) )
        = $true )
      | ( ( between_o @ SV188 @ SV204 @ SV301 @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1576]) ).

thf(1619,plain,
    ! [SV204: $i,SV302: $i,SV308: $i,SV188: $i] :
      ( ( ( ordered_by @ SV188 @ SV308 @ SV302 )
        = $false )
      | ( ( ~ ( ordered_by @ SV188 @ SV302 @ SV204 ) )
        = $true )
      | ( ( between_o @ SV188 @ SV204 @ SV302 @ SV308 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1577]) ).

thf(1620,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1578]) ).

thf(1621,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( ~ ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1578]) ).

thf(1622,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
        = $false )
      | ( ( ~ ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1579]) ).

thf(1623,plain,
    ! [SV189: $i,SV303: $i,SV298: $i] :
      ( ( ( ~ ! [SY570: $i] :
                ( ~ ( incident_c @ SY570 @ SV298 )
                | ~ ( incident_c @ SY570 @ SV303 )
                | ( end_point @ SY570 @ SV298 ) ) )
        = $false )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1580]) ).

thf(1624,plain,
    ! [SV189: $i,SV303: $i,SV298: $i] :
      ( ( ( ~ ! [SY571: $i] :
                ( ~ ( incident_c @ SY571 @ SV298 )
                | ~ ( incident_c @ SY571 @ SV303 )
                | ( end_point @ SY571 @ SV303 ) ) )
        = $false )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1580]) ).

thf(1625,plain,
    ! [SV331: $i,SV317: $i,SV189: $i] :
      ( ( ( ~ ( meet @ SV189 @ SV317 @ SV331 ) )
        = $true )
      | ( ( incident_c @ SV189 @ SV317 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1581]) ).

thf(1626,plain,
    ! [SV327: $i,SV318: $i,SV189: $i] :
      ( ( ( ~ ( meet @ SV189 @ SV318 @ SV327 ) )
        = $true )
      | ( ( incident_c @ SV189 @ SV327 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1582]) ).

thf(1627,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( ( SV231
           != ( sK15_Q @ SV254 @ SV231 ) ) )
        = $true )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1583]) ).

thf(1628,plain,
    ! [SV231: $i,SV254: $i] :
      ( ( ( incident_o @ ( sK15_Q @ SV254 @ SV231 ) @ SV254 )
        = $true )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1584]) ).

thf(1629,plain,
    ! [SV299: $i,SV319: $i,SV283: $i] :
      ( ( ( SV283 = SV319 )
        = $true )
      | ( ( ~ ( incident_o @ SV319 @ SV299 ) )
        = $true )
      | ( ( ordered_by @ SV299 @ SV283 @ SV319 )
        = $true )
      | ( ( start_point @ SV283 @ SV299 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1586]) ).

thf(1630,plain,
    ! [SV191: $i,SV206: $i,SV214: $i] :
      ( ( ( ~ ( ~ ! [SY495: $i] :
                    ( ~ ( incident_c @ SY495 @ SV214 )
                    | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
              | ~ ! [SY496: $i] :
                    ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                    | ( incident_c @ SY496 @ SV214 ) ) ) )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1587]) ).

thf(1631,plain,
    ! [SV191: $i,SV206: $i,SV214: $i] :
      ( ( ( ordered_by @ ( sK9_O @ SV214 @ SV206 @ SV191 ) @ SV191 @ SV206 )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1588]) ).

thf(1632,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( ~ ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
          | ~ ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) )
        = $true )
      | ( ( ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1589]) ).

thf(1633,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
          | ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) )
        = $true )
      | ( ( ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1590]) ).

thf(1634,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i] :
      ( ( ( ~ ! [SY558: $i] :
                ( ~ ( incident_c @ SY558 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
                | ( incident_o @ SY558 @ SV286 ) )
          | ~ ! [SY559: $i] :
                ( ~ ( incident_o @ SY559 @ SV286 )
                | ( incident_c @ SY559 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) ) )
        = $false )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1591]) ).

thf(1635,plain,
    ! [SV274: $i,SV287: $i,SV195: $i,SV309: $i,SV209: $i] :
      ( ( ( ~ ( end_point @ SV209 @ SV309 ) )
        = $true )
      | ( ( ~ ( part_of @ SV309 @ SV195 ) )
        = $true )
      | ( ( ~ ( end_point @ SV287 @ SV309 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV274 @ SV309 ) )
        = $true )
      | ( ( SV209 = SV287 )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV274 @ SV287 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1593]) ).

thf(1636,plain,
    ! [SV305: $i,SV195: $i,SV310: $i,SV209: $i] :
      ( ( ( SV209 = SV310 )
        = $false )
      | ( ( between_c @ SV195 @ SV209 @ SV305 @ SV310 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1594]) ).

thf(1637,plain,
    ! [SV195: $i,SV306: $i,SV311: $i,SV209: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
                      | ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) )
                | ~ ( end_point @ SV311 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) )
          | ~ ( inner_point @ SV306 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) )
        = $false )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1595]) ).

thf(1638,plain,
    ! [SV172: $i,SV215: $i,SV210: $i,SV197: $i,SV320: $i] :
      ( ( ( ~ ( end_point @ SV320 @ SV197 ) )
        = $true )
      | ( ( ~ ( end_point @ SV320 @ SV210 ) )
        = $true )
      | ( ( ~ ( end_point @ SV320 @ SV215 ) )
        = $true )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1596]) ).

thf(1639,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( SV227
          = ( sK14_Q @ SV246 @ SV227 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV227 @ SV246 ) )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1601]) ).

thf(1640,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( incident_o @ SV227 @ SV246 )
        = $false )
      | ( ( incident_o @ ( sK14_Q @ SV246 @ SV227 ) @ SV246 )
        = $true )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1602]) ).

thf(1641,plain,
    ! [SV279: $i,SV294: $i,SV315: $i] :
      ( ( ( incident_o @ SV315 @ SV294 )
        = $false )
      | ( ( SV279 = SV315 )
        = $true )
      | ( ( ordered_by @ SV294 @ SV315 @ SV279 )
        = $true )
      | ( ( finish_point @ SV279 @ SV294 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1603]) ).

thf(1642,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
          | ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1604]) ).

thf(1643,plain,
    ! [SV247: $i,SV228: $i] :
      ( ( ( incident_c @ SV228 @ SV247 )
        = $false )
      | ( ( incident_c @ SV228 @ ( sK27_SY132 @ SV247 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1605]) ).

thf(1644,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1606]) ).

thf(1645,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1607]) ).

thf(1646,plain,
    ! [SV281: $i,SV321: $i,SV296: $i,SV316: $i] :
      ( ( ( ~ ( part_of @ SV316 @ SV296 )
          | ~ ( part_of @ SV321 @ SV296 )
          | ~ ( incident_c @ SV281 @ SV316 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV281 @ SV321 ) )
        = $true )
      | ( ( ( part_of @ SV316 @ SV321 )
          | ( part_of @ SV321 @ SV316 ) )
        = $true )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1608]) ).

thf(1647,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1609]) ).

thf(1648,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1610]) ).

thf(1649,plain,
    ! [SV264: $i,SV249: $i,SV185: $i,SV322: $i] :
      ( ( ( incident_c @ SV322 @ SV185 )
        = $false )
      | ( ( ( incident_c @ SV322 @ SV249 )
          | ( incident_c @ SV322 @ SV264 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1611]) ).

thf(1650,plain,
    ! [SV264: $i,SV185: $i,SV249: $i] :
      ( ( ( ! [SY528: $i] :
              ( ~ ( incident_c @ SY528 @ SV249 )
              | ( incident_c @ SY528 @ SV185 ) ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1612]) ).

thf(1651,plain,
    ! [SV249: $i,SV185: $i,SV264: $i] :
      ( ( ( ! [SY537: $i] :
              ( ~ ( incident_c @ SY537 @ SV264 )
              | ( incident_c @ SY537 @ SV185 ) ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1613]) ).

thf(1652,plain,
    ! [SV328: $i,SV323: $i,SV204: $i,SV188: $i] :
      ( ( ( ~ ( between_o @ SV188 @ SV204 @ SV323 @ SV328 ) )
        = $true )
      | ( ( ( ordered_by @ SV188 @ SV204 @ SV323 )
          | ( ordered_by @ SV188 @ SV328 @ SV323 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1614]) ).

thf(1653,plain,
    ! [SV332: $i,SV324: $i,SV204: $i,SV188: $i] :
      ( ( ( ~ ( between_o @ SV188 @ SV204 @ SV324 @ SV332 ) )
        = $true )
      | ( ( ( ordered_by @ SV188 @ SV204 @ SV324 )
          | ( ordered_by @ SV188 @ SV324 @ SV204 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1615]) ).

thf(1654,plain,
    ! [SV329: $i,SV325: $i,SV204: $i,SV188: $i] :
      ( ( ( ~ ( between_o @ SV188 @ SV204 @ SV325 @ SV329 ) )
        = $true )
      | ( ( ( ordered_by @ SV188 @ SV325 @ SV329 )
          | ( ordered_by @ SV188 @ SV329 @ SV325 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1616]) ).

thf(1655,plain,
    ! [SV330: $i,SV326: $i,SV204: $i,SV188: $i] :
      ( ( ( ~ ( between_o @ SV188 @ SV204 @ SV326 @ SV330 ) )
        = $true )
      | ( ( ( ordered_by @ SV188 @ SV326 @ SV330 )
          | ( ordered_by @ SV188 @ SV326 @ SV204 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1617]) ).

thf(1656,plain,
    ! [SV204: $i,SV307: $i,SV301: $i,SV188: $i] :
      ( ( ( ordered_by @ SV188 @ SV301 @ SV307 )
        = $false )
      | ( ( ordered_by @ SV188 @ SV204 @ SV301 )
        = $false )
      | ( ( between_o @ SV188 @ SV204 @ SV301 @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1618]) ).

thf(1657,plain,
    ! [SV308: $i,SV204: $i,SV302: $i,SV188: $i] :
      ( ( ( ordered_by @ SV188 @ SV302 @ SV204 )
        = $false )
      | ( ( ordered_by @ SV188 @ SV308 @ SV302 )
        = $false )
      | ( ( between_o @ SV188 @ SV204 @ SV302 @ SV308 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1619]) ).

thf(1658,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
        = $true )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1620]) ).

thf(1659,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 )
        = $true )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1621]) ).

thf(1660,plain,
    ! [SV189: $i,SV253: $i,SV268: $i] :
      ( ( ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 )
        = $false )
      | ( ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
        = $false )
      | ( ( ~ ( incident_c @ SV189 @ SV253 )
          | ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1622]) ).

thf(1661,plain,
    ! [SV189: $i,SV303: $i,SV298: $i] :
      ( ( ( ! [SY570: $i] :
              ( ~ ( incident_c @ SY570 @ SV298 )
              | ~ ( incident_c @ SY570 @ SV303 )
              | ( end_point @ SY570 @ SV298 ) ) )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1623]) ).

thf(1662,plain,
    ! [SV189: $i,SV303: $i,SV298: $i] :
      ( ( ( ! [SY571: $i] :
              ( ~ ( incident_c @ SY571 @ SV298 )
              | ~ ( incident_c @ SY571 @ SV303 )
              | ( end_point @ SY571 @ SV303 ) ) )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1624]) ).

thf(1663,plain,
    ! [SV331: $i,SV317: $i,SV189: $i] :
      ( ( ( meet @ SV189 @ SV317 @ SV331 )
        = $false )
      | ( ( incident_c @ SV189 @ SV317 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1625]) ).

thf(1664,plain,
    ! [SV327: $i,SV318: $i,SV189: $i] :
      ( ( ( meet @ SV189 @ SV318 @ SV327 )
        = $false )
      | ( ( incident_c @ SV189 @ SV327 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1626]) ).

thf(1665,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( SV231
          = ( sK15_Q @ SV254 @ SV231 ) )
        = $false )
      | ( ( ~ ( incident_o @ SV231 @ SV254 ) )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1627]) ).

thf(1666,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( incident_o @ SV231 @ SV254 )
        = $false )
      | ( ( incident_o @ ( sK15_Q @ SV254 @ SV231 ) @ SV254 )
        = $true )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1628]) ).

thf(1667,plain,
    ! [SV283: $i,SV299: $i,SV319: $i] :
      ( ( ( incident_o @ SV319 @ SV299 )
        = $false )
      | ( ( SV283 = SV319 )
        = $true )
      | ( ( ordered_by @ SV299 @ SV283 @ SV319 )
        = $true )
      | ( ( start_point @ SV283 @ SV299 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1629]) ).

thf(1668,plain,
    ! [SV191: $i,SV206: $i,SV214: $i] :
      ( ( ( ~ ! [SY495: $i] :
                ( ~ ( incident_c @ SY495 @ SV214 )
                | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
          | ~ ! [SY496: $i] :
                ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                | ( incident_c @ SY496 @ SV214 ) ) )
        = $false )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1630]) ).

thf(1669,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( ~ ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 ) )
        = $true )
      | ( ( ~ ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) )
        = $true )
      | ( ( ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1632]) ).

thf(1670,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
        = $true )
      | ( ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 )
        = $true )
      | ( ( ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1633]) ).

thf(1671,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i] :
      ( ( ( ~ ! [SY558: $i] :
                ( ~ ( incident_c @ SY558 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
                | ( incident_o @ SY558 @ SV286 ) ) )
        = $false )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1634]) ).

thf(1672,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i] :
      ( ( ( ~ ! [SY559: $i] :
                ( ~ ( incident_o @ SY559 @ SV286 )
                | ( incident_c @ SY559 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) ) )
        = $false )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1634]) ).

thf(1673,plain,
    ! [SV274: $i,SV287: $i,SV195: $i,SV309: $i,SV209: $i] :
      ( ( ( end_point @ SV209 @ SV309 )
        = $false )
      | ( ( ~ ( part_of @ SV309 @ SV195 ) )
        = $true )
      | ( ( ~ ( end_point @ SV287 @ SV309 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV274 @ SV309 ) )
        = $true )
      | ( ( SV209 = SV287 )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV274 @ SV287 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1635]) ).

thf(1674,plain,
    ! [SV195: $i,SV306: $i,SV311: $i,SV209: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
                      | ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) )
                | ~ ( end_point @ SV311 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) ) )
        = $false )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1675,plain,
    ! [SV195: $i,SV209: $i,SV311: $i,SV306: $i] :
      ( ( ( ~ ( inner_point @ SV306 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) )
        = $false )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1676,plain,
    ! [SV172: $i,SV215: $i,SV210: $i,SV197: $i,SV320: $i] :
      ( ( ( end_point @ SV320 @ SV197 )
        = $false )
      | ( ( ~ ( end_point @ SV320 @ SV210 ) )
        = $true )
      | ( ( ~ ( end_point @ SV320 @ SV215 ) )
        = $true )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1638]) ).

thf(1677,plain,
    ! [SV246: $i,SV227: $i] :
      ( ( ( incident_o @ SV227 @ SV246 )
        = $false )
      | ( ( SV227
          = ( sK14_Q @ SV246 @ SV227 ) )
        = $false )
      | ( ( finish_point @ SV227 @ SV246 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1639]) ).

thf(1678,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
                | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1642]) ).

thf(1679,plain,
    ! [SV247: $i,SV228: $i] :
      ( ( ( ~ ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1642]) ).

thf(1680,plain,
    ! [SV247: $i,SV228: $i] :
      ( ( ( incident_c @ SV228 @ SV247 )
        = $false )
      | ( ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ ( sK27_SY132 @ SV247 @ SV228 ) )
        = $false )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1644]) ).

thf(1681,plain,
    ! [SV247: $i,SV228: $i] :
      ( ( ( incident_c @ SV228 @ SV247 )
        = $false )
      | ( ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ ( sK26_C1 @ SV247 @ SV228 ) )
        = $false )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1645]) ).

thf(1682,plain,
    ! [SV281: $i,SV321: $i,SV296: $i,SV316: $i] :
      ( ( ( ~ ( part_of @ SV316 @ SV296 )
          | ~ ( part_of @ SV321 @ SV296 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV281 @ SV316 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV281 @ SV321 ) )
        = $true )
      | ( ( ( part_of @ SV316 @ SV321 )
          | ( part_of @ SV321 @ SV316 ) )
        = $true )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1646]) ).

thf(1683,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1647]) ).

thf(1684,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1648]) ).

thf(1685,plain,
    ! [SV185: $i,SV264: $i,SV249: $i,SV322: $i] :
      ( ( ( incident_c @ SV322 @ SV249 )
        = $true )
      | ( ( incident_c @ SV322 @ SV264 )
        = $true )
      | ( ( incident_c @ SV322 @ SV185 )
        = $false )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1649]) ).

thf(1686,plain,
    ! [SV264: $i,SV185: $i,SV249: $i,SV333: $i] :
      ( ( ( ~ ( incident_c @ SV333 @ SV249 )
          | ( incident_c @ SV333 @ SV185 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1650]) ).

thf(1687,plain,
    ! [SV249: $i,SV185: $i,SV264: $i,SV334: $i] :
      ( ( ( ~ ( incident_c @ SV334 @ SV264 )
          | ( incident_c @ SV334 @ SV185 ) )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1651]) ).

thf(1688,plain,
    ! [SV328: $i,SV323: $i,SV204: $i,SV188: $i] :
      ( ( ( between_o @ SV188 @ SV204 @ SV323 @ SV328 )
        = $false )
      | ( ( ( ordered_by @ SV188 @ SV204 @ SV323 )
          | ( ordered_by @ SV188 @ SV328 @ SV323 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1652]) ).

thf(1689,plain,
    ! [SV332: $i,SV324: $i,SV204: $i,SV188: $i] :
      ( ( ( between_o @ SV188 @ SV204 @ SV324 @ SV332 )
        = $false )
      | ( ( ( ordered_by @ SV188 @ SV204 @ SV324 )
          | ( ordered_by @ SV188 @ SV324 @ SV204 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1653]) ).

thf(1690,plain,
    ! [SV329: $i,SV325: $i,SV204: $i,SV188: $i] :
      ( ( ( between_o @ SV188 @ SV204 @ SV325 @ SV329 )
        = $false )
      | ( ( ( ordered_by @ SV188 @ SV325 @ SV329 )
          | ( ordered_by @ SV188 @ SV329 @ SV325 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1654]) ).

thf(1691,plain,
    ! [SV330: $i,SV326: $i,SV204: $i,SV188: $i] :
      ( ( ( between_o @ SV188 @ SV204 @ SV326 @ SV330 )
        = $false )
      | ( ( ( ordered_by @ SV188 @ SV326 @ SV330 )
          | ( ordered_by @ SV188 @ SV326 @ SV204 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1655]) ).

thf(1692,plain,
    ! [SV268: $i,SV253: $i,SV189: $i] :
      ( ( ( ~ ( incident_c @ SV189 @ SV253 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1658]) ).

thf(1693,plain,
    ! [SV268: $i,SV253: $i,SV189: $i] :
      ( ( ( ~ ( incident_c @ SV189 @ SV253 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1659]) ).

thf(1694,plain,
    ! [SV268: $i,SV253: $i,SV189: $i] :
      ( ( ( ~ ( incident_c @ SV189 @ SV253 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
        = $false )
      | ( ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 )
        = $false )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1660]) ).

thf(1695,plain,
    ! [SV189: $i,SV303: $i,SV298: $i,SV335: $i] :
      ( ( ( ~ ( incident_c @ SV335 @ SV298 )
          | ~ ( incident_c @ SV335 @ SV303 )
          | ( end_point @ SV335 @ SV298 ) )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1661]) ).

thf(1696,plain,
    ! [SV189: $i,SV303: $i,SV298: $i,SV336: $i] :
      ( ( ( ~ ( incident_c @ SV336 @ SV298 )
          | ~ ( incident_c @ SV336 @ SV303 )
          | ( end_point @ SV336 @ SV303 ) )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1662]) ).

thf(1697,plain,
    ! [SV254: $i,SV231: $i] :
      ( ( ( incident_o @ SV231 @ SV254 )
        = $false )
      | ( ( SV231
          = ( sK15_Q @ SV254 @ SV231 ) )
        = $false )
      | ( ( start_point @ SV231 @ SV254 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1665]) ).

thf(1698,plain,
    ! [SV191: $i,SV206: $i,SV214: $i] :
      ( ( ( ~ ! [SY495: $i] :
                ( ~ ( incident_c @ SY495 @ SV214 )
                | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) ) )
        = $false )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1668]) ).

thf(1699,plain,
    ! [SV191: $i,SV206: $i,SV214: $i] :
      ( ( ( ~ ! [SY496: $i] :
                ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
                | ( incident_c @ SY496 @ SV214 ) ) )
        = $false )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1668]) ).

thf(1700,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
        = $false )
      | ( ( ~ ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 ) )
        = $true )
      | ( ( ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1669]) ).

thf(1701,plain,
    ! [SV285: $i,SV269: $i,SV207: $i,SV192: $i,SV304: $i] :
      ( ( ( between_c @ SV304 @ SV192 @ SV207 @ SV269 )
        = $false )
      | ( ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 )
        = $true )
      | ( ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1670]) ).

thf(1702,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i] :
      ( ( ( ! [SY558: $i] :
              ( ~ ( incident_c @ SY558 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
              | ( incident_o @ SY558 @ SV286 ) ) )
        = $true )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1671]) ).

thf(1703,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i] :
      ( ( ( ! [SY559: $i] :
              ( ~ ( incident_o @ SY559 @ SV286 )
              | ( incident_c @ SY559 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) ) )
        = $true )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1672]) ).

thf(1704,plain,
    ! [SV274: $i,SV287: $i,SV209: $i,SV195: $i,SV309: $i] :
      ( ( ( part_of @ SV309 @ SV195 )
        = $false )
      | ( ( end_point @ SV209 @ SV309 )
        = $false )
      | ( ( ~ ( end_point @ SV287 @ SV309 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV274 @ SV309 ) )
        = $true )
      | ( ( SV209 = SV287 )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV274 @ SV287 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1673]) ).

thf(1705,plain,
    ! [SV195: $i,SV306: $i,SV311: $i,SV209: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
                    | ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) )
              | ~ ( end_point @ SV311 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) ) )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1674]) ).

thf(1706,plain,
    ! [SV195: $i,SV209: $i,SV311: $i,SV306: $i] :
      ( ( ( inner_point @ SV306 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1675]) ).

thf(1707,plain,
    ! [SV172: $i,SV215: $i,SV197: $i,SV210: $i,SV320: $i] :
      ( ( ( end_point @ SV320 @ SV210 )
        = $false )
      | ( ( end_point @ SV320 @ SV197 )
        = $false )
      | ( ( ~ ( end_point @ SV320 @ SV215 ) )
        = $true )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1676]) ).

thf(1708,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
              | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1678]) ).

thf(1709,plain,
    ! [SV247: $i,SV228: $i] :
      ( ( ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1679]) ).

thf(1710,plain,
    ! [SV281: $i,SV321: $i,SV296: $i,SV316: $i] :
      ( ( ( ~ ( part_of @ SV316 @ SV296 ) )
        = $true )
      | ( ( ~ ( part_of @ SV321 @ SV296 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV281 @ SV316 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV281 @ SV321 ) )
        = $true )
      | ( ( ( part_of @ SV316 @ SV321 )
          | ( part_of @ SV321 @ SV316 ) )
        = $true )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1682]) ).

thf(1711,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV248 )
        = $false )
      | ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
        = $false )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1683]) ).

thf(1712,plain,
    ! [SV185: $i,SV248: $i,SV263: $i] :
      ( ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV263 )
        = $false )
      | ( ( incident_c @ ( sK28_Q @ SV263 @ SV248 @ SV185 ) @ SV185 )
        = $false )
      | ( ( SV185
          = ( sum @ SV248 @ SV263 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1684]) ).

thf(1713,plain,
    ! [SV264: $i,SV185: $i,SV249: $i,SV333: $i] :
      ( ( ( ~ ( incident_c @ SV333 @ SV249 ) )
        = $true )
      | ( ( incident_c @ SV333 @ SV185 )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1686]) ).

thf(1714,plain,
    ! [SV249: $i,SV185: $i,SV264: $i,SV334: $i] :
      ( ( ( ~ ( incident_c @ SV334 @ SV264 ) )
        = $true )
      | ( ( incident_c @ SV334 @ SV185 )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1687]) ).

thf(1715,plain,
    ! [SV328: $i,SV323: $i,SV204: $i,SV188: $i] :
      ( ( ( ordered_by @ SV188 @ SV204 @ SV323 )
        = $true )
      | ( ( ordered_by @ SV188 @ SV328 @ SV323 )
        = $true )
      | ( ( between_o @ SV188 @ SV204 @ SV323 @ SV328 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1688]) ).

thf(1716,plain,
    ! [SV332: $i,SV324: $i,SV204: $i,SV188: $i] :
      ( ( ( ordered_by @ SV188 @ SV204 @ SV324 )
        = $true )
      | ( ( ordered_by @ SV188 @ SV324 @ SV204 )
        = $true )
      | ( ( between_o @ SV188 @ SV204 @ SV324 @ SV332 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1689]) ).

thf(1717,plain,
    ! [SV204: $i,SV329: $i,SV325: $i,SV188: $i] :
      ( ( ( ordered_by @ SV188 @ SV325 @ SV329 )
        = $true )
      | ( ( ordered_by @ SV188 @ SV329 @ SV325 )
        = $true )
      | ( ( between_o @ SV188 @ SV204 @ SV325 @ SV329 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1690]) ).

thf(1718,plain,
    ! [SV204: $i,SV330: $i,SV326: $i,SV188: $i] :
      ( ( ( ordered_by @ SV188 @ SV326 @ SV330 )
        = $true )
      | ( ( ordered_by @ SV188 @ SV326 @ SV204 )
        = $true )
      | ( ( between_o @ SV188 @ SV204 @ SV326 @ SV330 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1691]) ).

thf(1719,plain,
    ! [SV268: $i,SV253: $i,SV189: $i] :
      ( ( ( incident_c @ SV189 @ SV253 )
        = $false )
      | ( ( ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1692]) ).

thf(1720,plain,
    ! [SV268: $i,SV253: $i,SV189: $i] :
      ( ( ( incident_c @ SV189 @ SV253 )
        = $false )
      | ( ( ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1693]) ).

thf(1721,plain,
    ! [SV268: $i,SV253: $i,SV189: $i] :
      ( ( ( incident_c @ SV189 @ SV253 )
        = $false )
      | ( ( ~ ( incident_c @ SV189 @ SV268 ) )
        = $true )
      | ( ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
        = $false )
      | ( ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 )
        = $false )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1694]) ).

thf(1722,plain,
    ! [SV189: $i,SV303: $i,SV298: $i,SV335: $i] :
      ( ( ( ~ ( incident_c @ SV335 @ SV298 )
          | ~ ( incident_c @ SV335 @ SV303 ) )
        = $true )
      | ( ( end_point @ SV335 @ SV298 )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1695]) ).

thf(1723,plain,
    ! [SV189: $i,SV303: $i,SV298: $i,SV336: $i] :
      ( ( ( ~ ( incident_c @ SV336 @ SV298 )
          | ~ ( incident_c @ SV336 @ SV303 ) )
        = $true )
      | ( ( end_point @ SV336 @ SV303 )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1696]) ).

thf(1724,plain,
    ! [SV191: $i,SV206: $i,SV214: $i] :
      ( ( ( ! [SY495: $i] :
              ( ~ ( incident_c @ SY495 @ SV214 )
              | ( incident_o @ SY495 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) ) )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1698]) ).

thf(1725,plain,
    ! [SV191: $i,SV206: $i,SV214: $i] :
      ( ( ( ! [SY496: $i] :
              ( ~ ( incident_o @ SY496 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
              | ( incident_c @ SY496 @ SV214 ) ) )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1699]) ).

thf(1726,plain,
    ! [SV192: $i,SV207: $i,SV269: $i,SV285: $i,SV304: $i] :
      ( ( ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 )
        = $false )
      | ( ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
        = $false )
      | ( ( ~ ( between_c @ SV304 @ SV192 @ SV207 @ SV269 ) )
        = $true )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1700]) ).

thf(1727,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i,SV337: $i] :
      ( ( ( ~ ( incident_c @ SV337 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
          | ( incident_o @ SV337 @ SV286 ) )
        = $true )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1702]) ).

thf(1728,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i,SV338: $i] :
      ( ( ( ~ ( incident_o @ SV338 @ SV286 )
          | ( incident_c @ SV338 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) )
        = $true )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1703]) ).

thf(1729,plain,
    ! [SV274: $i,SV195: $i,SV209: $i,SV309: $i,SV287: $i] :
      ( ( ( end_point @ SV287 @ SV309 )
        = $false )
      | ( ( end_point @ SV209 @ SV309 )
        = $false )
      | ( ( part_of @ SV309 @ SV195 )
        = $false )
      | ( ( ~ ( inner_point @ SV274 @ SV309 ) )
        = $true )
      | ( ( SV209 = SV287 )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV274 @ SV287 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1704]) ).

thf(1730,plain,
    ! [SV195: $i,SV306: $i,SV311: $i,SV209: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
                | ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) )
          | ~ ( end_point @ SV311 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) )
        = $false )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1705]) ).

thf(1731,plain,
    ! [SV172: $i,SV210: $i,SV197: $i,SV215: $i,SV320: $i] :
      ( ( ( end_point @ SV320 @ SV215 )
        = $false )
      | ( ( end_point @ SV320 @ SV197 )
        = $false )
      | ( ( end_point @ SV320 @ SV210 )
        = $false )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( ( part_of @ SV215 @ SV197 )
          | ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1707]) ).

thf(1732,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
          | ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1708]) ).

thf(1733,plain,
    ! [SV247: $i,SV228: $i] :
      ( ( ( incident_c @ SV228 @ SV247 )
        = $false )
      | ( ( incident_c @ SV228 @ ( sK26_C1 @ SV247 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1709]) ).

thf(1734,plain,
    ! [SV281: $i,SV321: $i,SV296: $i,SV316: $i] :
      ( ( ( part_of @ SV316 @ SV296 )
        = $false )
      | ( ( ~ ( part_of @ SV321 @ SV296 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV281 @ SV316 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV281 @ SV321 ) )
        = $true )
      | ( ( ( part_of @ SV316 @ SV321 )
          | ( part_of @ SV321 @ SV316 ) )
        = $true )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1710]) ).

thf(1735,plain,
    ! [SV264: $i,SV185: $i,SV249: $i,SV333: $i] :
      ( ( ( incident_c @ SV333 @ SV249 )
        = $false )
      | ( ( incident_c @ SV333 @ SV185 )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1713]) ).

thf(1736,plain,
    ! [SV249: $i,SV185: $i,SV264: $i,SV334: $i] :
      ( ( ( incident_c @ SV334 @ SV264 )
        = $false )
      | ( ( incident_c @ SV334 @ SV185 )
        = $true )
      | ( ( SV185
          = ( sum @ SV249 @ SV264 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1714]) ).

thf(1737,plain,
    ! [SV253: $i,SV268: $i,SV189: $i] :
      ( ( ( incident_c @ SV189 @ SV268 )
        = $false )
      | ( ( incident_c @ SV189 @ SV253 )
        = $false )
      | ( ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1719]) ).

thf(1738,plain,
    ! [SV253: $i,SV268: $i,SV189: $i] :
      ( ( ( incident_c @ SV189 @ SV268 )
        = $false )
      | ( ( incident_c @ SV189 @ SV253 )
        = $false )
      | ( ( incident_c @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 )
        = $true )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1720]) ).

thf(1739,plain,
    ! [SV253: $i,SV268: $i,SV189: $i] :
      ( ( ( incident_c @ SV189 @ SV268 )
        = $false )
      | ( ( incident_c @ SV189 @ SV253 )
        = $false )
      | ( ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV253 )
        = $false )
      | ( ( end_point @ ( sK25_Q @ SV268 @ SV253 @ SV189 ) @ SV268 )
        = $false )
      | ( ( meet @ SV189 @ SV253 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1721]) ).

thf(1740,plain,
    ! [SV189: $i,SV303: $i,SV298: $i,SV335: $i] :
      ( ( ( ~ ( incident_c @ SV335 @ SV298 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV335 @ SV303 ) )
        = $true )
      | ( ( end_point @ SV335 @ SV298 )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1722]) ).

thf(1741,plain,
    ! [SV189: $i,SV303: $i,SV298: $i,SV336: $i] :
      ( ( ( ~ ( incident_c @ SV336 @ SV298 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV336 @ SV303 ) )
        = $true )
      | ( ( end_point @ SV336 @ SV303 )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1723]) ).

thf(1742,plain,
    ! [SV191: $i,SV206: $i,SV214: $i,SV339: $i] :
      ( ( ( ~ ( incident_c @ SV339 @ SV214 )
          | ( incident_o @ SV339 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1724]) ).

thf(1743,plain,
    ! [SV191: $i,SV206: $i,SV214: $i,SV340: $i] :
      ( ( ( ~ ( incident_o @ SV340 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
          | ( incident_c @ SV340 @ SV214 ) )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1725]) ).

thf(1744,plain,
    ! [SV285: $i,SV269: $i,SV207: $i,SV192: $i,SV304: $i] :
      ( ( ( between_c @ SV304 @ SV192 @ SV207 @ SV269 )
        = $false )
      | ( ( incident_c @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV304 )
        = $false )
      | ( ( incident_o @ ( sK12_P @ SV304 @ SV285 @ SV269 @ SV207 @ SV192 ) @ SV285 )
        = $false )
      | ( ( between_o @ SV285 @ SV192 @ SV207 @ SV269 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1726]) ).

thf(1745,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i,SV337: $i] :
      ( ( ( ~ ( incident_c @ SV337 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) ) )
        = $true )
      | ( ( incident_o @ SV337 @ SV286 )
        = $true )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1727]) ).

thf(1746,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i,SV338: $i] :
      ( ( ( ~ ( incident_o @ SV338 @ SV286 ) )
        = $true )
      | ( ( incident_c @ SV338 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
        = $true )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1728]) ).

thf(1747,plain,
    ! [SV287: $i,SV209: $i,SV195: $i,SV309: $i,SV274: $i] :
      ( ( ( inner_point @ SV274 @ SV309 )
        = $false )
      | ( ( part_of @ SV309 @ SV195 )
        = $false )
      | ( ( end_point @ SV209 @ SV309 )
        = $false )
      | ( ( end_point @ SV287 @ SV309 )
        = $false )
      | ( ( SV209 = SV287 )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV274 @ SV287 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1729]) ).

thf(1748,plain,
    ! [SV195: $i,SV306: $i,SV311: $i,SV209: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
                | ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) ) )
        = $false )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1730]) ).

thf(1749,plain,
    ! [SV195: $i,SV209: $i,SV306: $i,SV311: $i] :
      ( ( ( ~ ( end_point @ SV311 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) )
        = $false )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1730]) ).

thf(1750,plain,
    ! [SV320: $i,SV172: $i,SV210: $i,SV197: $i,SV215: $i] :
      ( ( ( part_of @ SV215 @ SV197 )
        = $true )
      | ( ( ( part_of @ SV197 @ SV215 )
          | ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( end_point @ SV320 @ SV210 )
        = $false )
      | ( ( end_point @ SV320 @ SV197 )
        = $false )
      | ( ( end_point @ SV320 @ SV215 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1731]) ).

thf(1751,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1732]) ).

thf(1752,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( ~ ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1732]) ).

thf(1753,plain,
    ! [SV281: $i,SV316: $i,SV296: $i,SV321: $i] :
      ( ( ( part_of @ SV321 @ SV296 )
        = $false )
      | ( ( part_of @ SV316 @ SV296 )
        = $false )
      | ( ( ~ ( incident_c @ SV281 @ SV316 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV281 @ SV321 ) )
        = $true )
      | ( ( ( part_of @ SV316 @ SV321 )
          | ( part_of @ SV321 @ SV316 ) )
        = $true )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1734]) ).

thf(1754,plain,
    ! [SV189: $i,SV303: $i,SV298: $i,SV335: $i] :
      ( ( ( incident_c @ SV335 @ SV298 )
        = $false )
      | ( ( ~ ( incident_c @ SV335 @ SV303 ) )
        = $true )
      | ( ( end_point @ SV335 @ SV298 )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1740]) ).

thf(1755,plain,
    ! [SV189: $i,SV303: $i,SV298: $i,SV336: $i] :
      ( ( ( incident_c @ SV336 @ SV298 )
        = $false )
      | ( ( ~ ( incident_c @ SV336 @ SV303 ) )
        = $true )
      | ( ( end_point @ SV336 @ SV303 )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1741]) ).

thf(1756,plain,
    ! [SV191: $i,SV206: $i,SV214: $i,SV339: $i] :
      ( ( ( ~ ( incident_c @ SV339 @ SV214 ) )
        = $true )
      | ( ( incident_o @ SV339 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1742]) ).

thf(1757,plain,
    ! [SV191: $i,SV206: $i,SV214: $i,SV340: $i] :
      ( ( ( ~ ( incident_o @ SV340 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) ) )
        = $true )
      | ( ( incident_c @ SV340 @ SV214 )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1743]) ).

thf(1758,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i,SV337: $i] :
      ( ( ( incident_c @ SV337 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
        = $false )
      | ( ( incident_o @ SV337 @ SV286 )
        = $true )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1745]) ).

thf(1759,plain,
    ! [SV192: $i,SV207: $i,SV270: $i,SV286: $i,SV338: $i] :
      ( ( ( incident_o @ SV338 @ SV286 )
        = $false )
      | ( ( incident_c @ SV338 @ ( sK11_C @ SV286 @ SV270 @ SV207 @ SV192 ) )
        = $true )
      | ( ( between_o @ SV286 @ SV192 @ SV207 @ SV270 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1746]) ).

thf(1760,plain,
    ! [SV195: $i,SV306: $i,SV311: $i,SV209: $i] :
      ( ( ( ~ ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
              | ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) ) )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1748]) ).

thf(1761,plain,
    ! [SV195: $i,SV209: $i,SV306: $i,SV311: $i] :
      ( ( ( end_point @ SV311 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1749]) ).

thf(1762,plain,
    ! [SV320: $i,SV172: $i,SV210: $i,SV215: $i,SV197: $i] :
      ( ( ( part_of @ SV197 @ SV215 )
        = $true )
      | ( ( ( part_of @ SV210 @ SV197 )
          | ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true )
      | ( ( part_of @ SV215 @ SV197 )
        = $true )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( end_point @ SV320 @ SV210 )
        = $false )
      | ( ( end_point @ SV320 @ SV197 )
        = $false )
      | ( ( end_point @ SV320 @ SV215 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1750]) ).

thf(1763,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1751]) ).

thf(1764,plain,
    ! [SV228: $i,SV247: $i] :
      ( ( ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 )
        = $true )
      | ( ( ~ ( incident_c @ SV228 @ SV247 ) )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1752]) ).

thf(1765,plain,
    ! [SV321: $i,SV296: $i,SV316: $i,SV281: $i] :
      ( ( ( incident_c @ SV281 @ SV316 )
        = $false )
      | ( ( part_of @ SV316 @ SV296 )
        = $false )
      | ( ( part_of @ SV321 @ SV296 )
        = $false )
      | ( ( ~ ( incident_c @ SV281 @ SV321 ) )
        = $true )
      | ( ( ( part_of @ SV316 @ SV321 )
          | ( part_of @ SV321 @ SV316 ) )
        = $true )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1753]) ).

thf(1766,plain,
    ! [SV189: $i,SV298: $i,SV303: $i,SV335: $i] :
      ( ( ( incident_c @ SV335 @ SV303 )
        = $false )
      | ( ( incident_c @ SV335 @ SV298 )
        = $false )
      | ( ( end_point @ SV335 @ SV298 )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1754]) ).

thf(1767,plain,
    ! [SV189: $i,SV298: $i,SV303: $i,SV336: $i] :
      ( ( ( incident_c @ SV336 @ SV303 )
        = $false )
      | ( ( incident_c @ SV336 @ SV298 )
        = $false )
      | ( ( end_point @ SV336 @ SV303 )
        = $true )
      | ( ( meet @ SV189 @ SV298 @ SV303 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1755]) ).

thf(1768,plain,
    ! [SV191: $i,SV206: $i,SV214: $i,SV339: $i] :
      ( ( ( incident_c @ SV339 @ SV214 )
        = $false )
      | ( ( incident_o @ SV339 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1756]) ).

thf(1769,plain,
    ! [SV191: $i,SV206: $i,SV214: $i,SV340: $i] :
      ( ( ( incident_o @ SV340 @ ( sK9_O @ SV214 @ SV206 @ SV191 ) )
        = $false )
      | ( ( incident_c @ SV340 @ SV214 )
        = $true )
      | ( ( incident_c @ SV191 @ SV214 )
        = $false )
      | ( ( SV191 = SV206 )
        = $true )
      | ( ( open @ SV214 )
        = $false )
      | ( ( incident_c @ SV206 @ SV214 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1757]) ).

thf(1770,plain,
    ! [SV195: $i,SV306: $i,SV311: $i,SV209: $i] :
      ( ( ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
          | ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) )
        = $false )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1760]) ).

thf(1771,plain,
    ! [SV320: $i,SV172: $i,SV215: $i,SV197: $i,SV210: $i] :
      ( ( ( part_of @ SV210 @ SV197 )
        = $true )
      | ( ( ( part_of @ SV197 @ SV210 )
          | ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true )
      | ( ( part_of @ SV197 @ SV215 )
        = $true )
      | ( ( part_of @ SV215 @ SV197 )
        = $true )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( end_point @ SV320 @ SV210 )
        = $false )
      | ( ( end_point @ SV320 @ SV197 )
        = $false )
      | ( ( end_point @ SV320 @ SV215 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1762]) ).

thf(1772,plain,
    ! [SV247: $i,SV228: $i] :
      ( ( ( incident_c @ SV228 @ SV247 )
        = $false )
      | ( ( part_of @ ( sK26_C1 @ SV247 @ SV228 ) @ SV247 )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1763]) ).

thf(1773,plain,
    ! [SV247: $i,SV228: $i] :
      ( ( ( incident_c @ SV228 @ SV247 )
        = $false )
      | ( ( part_of @ ( sK27_SY132 @ SV247 @ SV228 ) @ SV247 )
        = $true )
      | ( ( end_point @ SV228 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1764]) ).

thf(1774,plain,
    ! [SV316: $i,SV296: $i,SV321: $i,SV281: $i] :
      ( ( ( incident_c @ SV281 @ SV321 )
        = $false )
      | ( ( part_of @ SV321 @ SV296 )
        = $false )
      | ( ( part_of @ SV316 @ SV296 )
        = $false )
      | ( ( incident_c @ SV281 @ SV316 )
        = $false )
      | ( ( ( part_of @ SV316 @ SV321 )
          | ( part_of @ SV321 @ SV316 ) )
        = $true )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1765]) ).

thf(1775,plain,
    ! [SV195: $i,SV306: $i,SV311: $i,SV209: $i] :
      ( ( ( ~ ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) ) )
        = $false )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1770]) ).

thf(1776,plain,
    ! [SV195: $i,SV209: $i,SV306: $i,SV311: $i] :
      ( ( ( ~ ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 ) )
        = $false )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1770]) ).

thf(1777,plain,
    ! [SV320: $i,SV172: $i,SV215: $i,SV210: $i,SV197: $i] :
      ( ( ( part_of @ SV197 @ SV210 )
        = $true )
      | ( ( ( part_of @ SV210 @ SV215 )
          | ( part_of @ SV215 @ SV210 ) )
        = $true )
      | ( ( part_of @ SV210 @ SV197 )
        = $true )
      | ( ( part_of @ SV197 @ SV215 )
        = $true )
      | ( ( part_of @ SV215 @ SV197 )
        = $true )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( end_point @ SV320 @ SV210 )
        = $false )
      | ( ( end_point @ SV320 @ SV197 )
        = $false )
      | ( ( end_point @ SV320 @ SV215 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1771]) ).

thf(1778,plain,
    ! [SV296: $i,SV281: $i,SV321: $i,SV316: $i] :
      ( ( ( part_of @ SV316 @ SV321 )
        = $true )
      | ( ( part_of @ SV321 @ SV316 )
        = $true )
      | ( ( incident_c @ SV281 @ SV316 )
        = $false )
      | ( ( part_of @ SV316 @ SV296 )
        = $false )
      | ( ( part_of @ SV321 @ SV296 )
        = $false )
      | ( ( incident_c @ SV281 @ SV321 )
        = $false )
      | ( ( end_point @ SV281 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1774]) ).

thf(1779,plain,
    ! [SV195: $i,SV306: $i,SV311: $i,SV209: $i] :
      ( ( ( end_point @ SV209 @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1775]) ).

thf(1780,plain,
    ! [SV195: $i,SV209: $i,SV306: $i,SV311: $i] :
      ( ( ( part_of @ ( sK16_Cpp @ SV311 @ SV306 @ SV209 @ SV195 ) @ SV195 )
        = $true )
      | ( ( between_c @ SV195 @ SV209 @ SV306 @ SV311 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1776]) ).

thf(1781,plain,
    ! [SV320: $i,SV172: $i,SV197: $i,SV215: $i,SV210: $i] :
      ( ( ( part_of @ SV210 @ SV215 )
        = $true )
      | ( ( part_of @ SV215 @ SV210 )
        = $true )
      | ( ( part_of @ SV197 @ SV210 )
        = $true )
      | ( ( part_of @ SV210 @ SV197 )
        = $true )
      | ( ( part_of @ SV197 @ SV215 )
        = $true )
      | ( ( part_of @ SV215 @ SV197 )
        = $true )
      | ( ( part_of @ SV215 @ SV172 )
        = $false )
      | ( ( part_of @ SV197 @ SV172 )
        = $false )
      | ( ( part_of @ SV210 @ SV172 )
        = $false )
      | ( ( end_point @ SV320 @ SV210 )
        = $false )
      | ( ( end_point @ SV320 @ SV197 )
        = $false )
      | ( ( end_point @ SV320 @ SV215 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1777]) ).

thf(1782,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[988,1781,1780,1779,1778,1773,1772,1769,1768,1767,1766,1761,1759,1758,1747,1744,1739,1738,1737,1736,1735,1733,1718,1717,1716,1715,1712,1711,1706,1701,1697,1685,1681,1680,1677,1667,1666,1664,1663,1657,1656,1643,1641,1640,1636,1631,1600,1599,1598,1597,1592,1585,1569,1560,1555,1552,1519,1505,1486,1482,1477,1476,1475,1472,1470,1469,1461,1453,1423,1414,1413,1398,1397,1396,1385,1376,1375,1374,1366,1364,1363,1362,1359,1358,1351,1340,1339,1338,1331,1330,1306,1205,1202,1198,1162,1152,1101,1026,1023,1021,1017]) ).

thf(1783,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1782,951]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO147+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
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 07:16:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.38  .
% 0.12/0.38  
% 0.12/0.38   No.of.Axioms: 36
% 0.12/0.38  
% 0.12/0.38   Length.of.Defs: 0
% 0.12/0.38  
% 0.12/0.38   Contains.Choice.Funs: false
% 0.18/0.42  .
% 0.18/0.43  (rf:0,axioms:36,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:38,loop_count:0,foatp_calls:0,translation:fof_full)............................................................................................................................
% 0.97/1.27  
% 0.97/1.27  ********************************
% 0.97/1.27  *   All subproblems solved!    *
% 0.97/1.27  ********************************
% 0.97/1.27  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:37,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:1782,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.92/2.10  
% 1.92/2.10  %**** Beginning of derivation protocol ****
% 1.92/2.10  % SZS output start CNFRefutation
% See solution above
% 1.93/2.11  
% 1.93/2.11  %**** End of derivation protocol ****
% 1.93/2.11  %**** no. of clauses in derivation: 1783 ****
% 1.93/2.11  %**** clause counter: 1782 ****
% 1.93/2.11  
% 1.93/2.11  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:37,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:1782,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------